|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 3 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 3 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 4;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 4;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre sin 1 $eq_no = 1
> array_tmp1[1] := sin(array_x[1]);
> array_tmp1_g[1] := cos(array_x[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[1] * expt(glob_h , (3)) * factorial_3(0,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[3,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[4,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre sin ID_LINEAR iii = 2 $eq_no = 1
> array_tmp1[2] := array_tmp1_g[1] * array_x[2] / 1;
> array_tmp1_g[2] := -array_tmp1[1] * array_x[2] / 1;
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[2] * expt(glob_h , (3)) * factorial_3(1,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[3,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[4,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sin ID_LINEAR iii = 3 $eq_no = 1
> array_tmp1[3] := array_tmp1_g[2] * array_x[2] / 2;
> array_tmp1_g[3] := -array_tmp1[2] * array_x[2] / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp2[3] := array_tmp1[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[3] * expt(glob_h , (3)) * factorial_3(2,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[3,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[4,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sin ID_LINEAR iii = 4 $eq_no = 1
> array_tmp1[4] := array_tmp1_g[3] * array_x[2] / 3;
> array_tmp1_g[4] := -array_tmp1[3] * array_x[2] / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp2[4] := array_tmp1[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,7]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[4] * expt(glob_h , (3)) * factorial_3(3,6);
> array_y[7] := temporary;
> array_y_higher[1,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y_higher[2,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[3,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[4,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sin ID_LINEAR iii = 5 $eq_no = 1
> array_tmp1[5] := array_tmp1_g[4] * array_x[2] / 4;
> array_tmp1_g[5] := -array_tmp1[4] * array_x[2] / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp2[5] := array_tmp1[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,8]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp2[5] * expt(glob_h , (3)) * factorial_3(4,7);
> array_y[8] := temporary;
> array_y_higher[1,8] := temporary;
> temporary := temporary / glob_h * (7.0);
> array_y_higher[2,7] := temporary;
> temporary := temporary / glob_h * (6.0);
> array_y_higher[3,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[4,5] := 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 sin LINEAR $eq_no = 1
> array_tmp1[kkk] := array_tmp1_g[kkk - 1] * array_x[2] / (kkk - 1);
> array_tmp1_g[kkk] := -array_tmp1[kkk - 1] * array_x[2] / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp2[kkk] := array_tmp1[kkk];
> #emit assign $eq_no = 1
> order_d := 3;
> 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_tmp2[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := sin(array_x[1]);
array_tmp1_g[1] := cos(array_x[1]);
array_tmp2[1] := array_const_0D0[1] + array_tmp1[1];
if not array_y_set_initial[1, 4] then
if 1 <= glob_max_terms then
temporary := array_tmp2[1]*expt(glob_h, 3)*factorial_3(0, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[3, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[4, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_tmp1_g[1]*array_x[2];
array_tmp1_g[2] := -array_tmp1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
if not array_y_set_initial[1, 5] then
if 2 <= glob_max_terms then
temporary := array_tmp2[2]*expt(glob_h, 3)*factorial_3(1, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[3, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[4, 2] := temporary
end if
end if;
kkk := 3;
array_tmp1[3] := 1/2*array_tmp1_g[2]*array_x[2];
array_tmp1_g[3] := -1/2*array_tmp1[2]*array_x[2];
array_tmp2[3] := array_tmp1[3];
if not array_y_set_initial[1, 6] then
if 3 <= glob_max_terms then
temporary := array_tmp2[3]*expt(glob_h, 3)*factorial_3(2, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[3, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[4, 3] := temporary
end if
end if;
kkk := 4;
array_tmp1[4] := 1/3*array_tmp1_g[3]*array_x[2];
array_tmp1_g[4] := -1/3*array_tmp1[3]*array_x[2];
array_tmp2[4] := array_tmp1[4];
if not array_y_set_initial[1, 7] then
if 4 <= glob_max_terms then
temporary := array_tmp2[4]*expt(glob_h, 3)*factorial_3(3, 6);
array_y[7] := temporary;
array_y_higher[1, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y_higher[2, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[3, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[4, 4] := temporary
end if
end if;
kkk := 5;
array_tmp1[5] := 1/4*array_tmp1_g[4]*array_x[2];
array_tmp1_g[5] := -1/4*array_tmp1[4]*array_x[2];
array_tmp2[5] := array_tmp1[5];
if not array_y_set_initial[1, 8] then
if 5 <= glob_max_terms then
temporary := array_tmp2[5]*expt(glob_h, 3)*factorial_3(4, 7);
array_y[8] := temporary;
array_y_higher[1, 8] := temporary;
temporary := temporary*7.0/glob_h;
array_y_higher[2, 7] := temporary;
temporary := temporary*6.0/glob_h;
array_y_higher[3, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[4, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp1[kkk] := array_tmp1_g[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp1_g[kkk] := -array_tmp1[kkk - 1]*array_x[2]/(kkk - 1);
array_tmp2[kkk] := array_tmp1[kkk];
order_d := 3;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp2[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(1.0 + cos(x));
> end;
exact_soln_y := proc(x) return 1.0 + cos(x) end proc
> exact_soln_yp := proc(x)
> return(-sin(x));
> end;
exact_soln_yp := proc(x) return -sin(x) end proc
> exact_soln_ypp := proc(x)
> return(-cos(x));
> end;
exact_soln_ypp := proc(x) return -cos(x) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_3,
> array_const_0D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/h3sinpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 3 ) = sin(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 := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"array_y_init[1 + 1] := exact_soln_yp(x_start);");
> omniout_str(ALWAYS,"array_y_init[2 + 1] := exact_soln_ypp(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 20;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(1.0 + cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_yp := proc(x)");
> omniout_str(ALWAYS,"return(-sin(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"exact_soln_ypp := proc(x)");
> omniout_str(ALWAYS,"return(-cos(x));");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1_g:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(4+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1_g[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_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=4) 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 <=4) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=4) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3[1] := 3;
> 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_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> array_y_init[1 + 1] := exact_soln_yp(x_start);
> array_y_init[2 + 1] := exact_soln_ypp(x_start);
> glob_look_poles := true;
> glob_max_iter := 20;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := true;
> array_y_set_initial[1,3] := true;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 3;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 3;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 4;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 4;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[4,iii] := array_y_higher[4,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 4;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[3,iii] := array_y_higher[3,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 3;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[3,iii] := array_y_higher[3,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 3;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 3;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 3;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 4;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 4;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 3;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 3;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 3 ) = sin(x);");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T15:06:47-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"h3sin")
> ;
> logitem_str(html_log_file,"diff ( y , x , 3 ) = sin(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_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"h3sin diffeq.mxt")
> ;
> logitem_str(html_log_file,"h3sin maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_3,
array_const_0D0, array_y_init, array_norms, array_fact_1, array_pole,
array_1st_rel_error, array_last_rel_error, array_type_pole, array_y,
array_x, array_tmp0, array_tmp1_g, array_tmp1, array_tmp2, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/h3sinpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 3 ) = sin(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 := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "array_y_init[1 + 1] := exact_soln_yp(x_start);");
omniout_str(ALWAYS, "array_y_init[2 + 1] := exact_soln_ypp(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 20;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(1.0 + cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_yp := proc(x)");
omniout_str(ALWAYS, "return(-sin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_ypp := proc(x)");
omniout_str(ALWAYS, "return(-cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1_g := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 5, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1_g[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_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 4 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 <= 4 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 4 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_g[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3[term] := 0.; term := term + 1
end do;
array_const_3[1] := 3;
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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
array_y_init[2] := exact_soln_yp(x_start);
array_y_init[3] := exact_soln_ypp(x_start);
glob_look_poles := true;
glob_max_iter := 20;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := true;
array_y_set_initial[1, 3] := true;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 3;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 3;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 4;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[4, iii] := array_y_higher[4, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 4;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[3, iii] := array_y_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[3, iii] := array_y_higher[3, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 3;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 4;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 3;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 3 ) = sin(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, "2013-01-28T15:06:47-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"h3sin");
logitem_str(html_log_file, "diff ( y , x , 3 ) = sin(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_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file,
"h3sin diffeq.mxt");
logitem_str(html_log_file,
"h3sin maple results")
;
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/h3sinpostode.ode#################
diff ( y , x , 3 ) = sin(x);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
array_y_init[1 + 1] := exact_soln_yp(x_start);
array_y_init[2 + 1] := exact_soln_ypp(x_start);
glob_look_poles := true;
glob_max_iter := 20;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(1.0 + cos(x));
end;
exact_soln_yp := proc(x)
return(-sin(x));
end;
exact_soln_ypp := proc(x)
return(-cos(x));
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 2.4672040251049429538467757202073e-105
max_value3 = 2.4672040251049429538467757202073e-105
value3 = 2.4672040251049429538467757202073e-105
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 1.9950041652780257660955619878039
y[1] (numeric) = 1.9950041652780257660955619878039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 1.994903834375976659378402999829
y[1] (numeric) = 1.994903834375976659378402999829
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 1.9948025085701760853346856764599
y[1] (numeric) = 1.9948025085701760853346856764599
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 1.9947001879619498413211671928266
y[1] (numeric) = 1.9947001879619498413211671928267
absolute error = 1e-31
relative error = 5.0132847333900969580736126213353e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 1.9945968726536185270373744944846
y[1] (numeric) = 1.9945968726536185270373744944847
absolute error = 1e-31
relative error = 5.0135444094504999744422042989207e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 1.9944925627484974422050131246041
y[1] (numeric) = 1.9944925627484974422050131246041
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 1.9943872583508964832526761118722
y[1] (numeric) = 1.9943872583508964832526761118723
absolute error = 1e-31
relative error = 5.0140713435307056092197789941372e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 1.9942809595661200390059562343918
y[1] (numeric) = 1.9942809595661200390059562343919
absolute error = 1e-31
relative error = 5.0143386026087422693494546616177e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=3.8MB, alloc=3.0MB, time=0.14
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 1.9941736665004668853830659694533
y[1] (numeric) = 1.9941736665004668853830659694534
absolute error = 1e-31
relative error = 5.0146083904260896791060449451647e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 1.9940653792612300790960704335539
y[1] (numeric) = 1.994065379261230079096070433554
absolute error = 1e-31
relative error = 5.0148807075246665300616373141045e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 1.9939560979566968503578396114198
y[1] (numeric) = 1.9939560979566968503578396114199
absolute error = 1e-31
relative error = 5.0151555544515163299513758223921e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 1.993845822696148494594827167072
y[1] (numeric) = 1.993845822696148494594827167072
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 1.9937345535898602631657841241467
y[1] (numeric) = 1.9937345535898602631657841241467
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 1.9936222907491012530865166967484
y[1] (numeric) = 1.9936222907491012530865166967485
absolute error = 1e-31
relative error = 5.0159952797490600140029164077157e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 1.9935090342861342957607985460685
y[1] (numeric) = 1.9935090342861342957607985460686
absolute error = 1e-31
relative error = 5.0162802515620153356578675886210e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 1.9933947843142158447175487318465
y[1] (numeric) = 1.9933947843142158447175487318466
absolute error = 1e-31
relative error = 5.0165677560154160235631469102881e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 1.993279540947595862354387621489
y[1] (numeric) = 1.9932795409475958623543876214891
absolute error = 1e-31
relative error = 5.0168577936871043750751276314026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 1.993163304301517705687684013279
y[1] (numeric) = 1.9931633043015177056876840132791
absolute error = 1e-31
relative error = 5.0171503651600643420268444514782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 1.99304607449221801110920772362
y[1] (numeric) = 1.9930460744922180111092077236201
absolute error = 1e-31
relative error = 5.0174454710224240252081801655507e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 1.9929278516369265781495028816522
y[1] (numeric) = 1.9929278516369265781495028816522
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 1.9928086358538662522480981678576
y[1] (numeric) = 1.9928086358538662522480981678577
absolute error = 1e-31
relative error = 5.0180432882935908112451694551819e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 1.9926884272622528065306712264356
y[1] (numeric) = 1.9926884272622528065306712264357
absolute error = 1e-31
relative error = 5.0183460009043976231818861055706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 1.992567225982294822593285474272
y[1] (numeric) = 1.9925672259822948225932854742721
absolute error = 1e-31
relative error = 5.0186512503086087147802678879264e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=7.6MB, alloc=4.1MB, time=0.30
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 1.9924450321351935702938185222573
y[1] (numeric) = 1.9924450321351935702938185222575
absolute error = 2e-31
relative error = 1.0037918074240222260358253667455e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 1.992321845843142886550702417515
y[1] (numeric) = 1.9923218458431428865507024175152
absolute error = 2e-31
relative error = 1.0038538723915902996870739417277e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 1.9921976672293290531490969077882
y[1] (numeric) = 1.9921976672293290531490969077884
absolute error = 2e-31
relative error = 1.0039164450892677369081925000522e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 1.9920724964179306735546179218037
y[1] (numeric) = 1.9920724964179306735546179218039
absolute error = 2e-31
relative error = 1.0039795256429292925758083279198e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 1.9919463335341185487347444518721
y[1] (numeric) = 1.9919463335341185487347444518723
absolute error = 2e-31
relative error = 1.0040431141794832426277726888305e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 1.9918191787040555519880280173089
y[1] (numeric) = 1.9918191787040555519880280173091
absolute error = 2e-31
relative error = 1.0041072108268719277418903648233e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 1.9916910320548965027812298794554
y[1] (numeric) = 1.9916910320548965027812298794556
absolute error = 2e-31
relative error = 1.0041718157140723015143946141587e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 1.9915618937147880395945121711518
y[1] (numeric) = 1.991561893714788039594512171152
absolute error = 2e-31
relative error = 1.0042369289710964831422071099758e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 1.9914317638128684917748100954616
y[1] (numeric) = 1.9914317638128684917748100954618
absolute error = 2e-31
relative error = 1.0043025507289923146130562707447e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 1.991300642479267750397513340263
y[1] (numeric) = 1.9913006424792677503975133402633
absolute error = 3e-31
relative error = 1.5065530216797658836113419283996e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 1.9911685298451071381365858470171
y[1] (numeric) = 1.9911685298451071381365858470173
absolute error = 2e-31
relative error = 1.0044353202767722837174230762644e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 1.9910354260424992781432540635797
y[1] (numeric) = 1.9910354260424992781432540635799
absolute error = 2e-31
relative error = 1.0045024683339357971838974226552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 1.9909013312045479619333948023605
y[1] (numeric) = 1.9909013312045479619333948023607
absolute error = 2e-31
relative error = 1.0045701254265308581607595117831e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 1.990766245465348016283754816428
y[1] (numeric) = 1.9907662454653480162837548164282
absolute error = 2e-31
relative error = 1.0046382916907924385060032496373e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.2MB, time=0.46
x[1] = 0.137
y[1] (analytic) = 1.9906301689599851691371351973316
y[1] (numeric) = 1.9906301689599851691371351973318
absolute error = 2e-31
relative error = 1.0047069672639946709065528037444e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 1.9904931018245359145166746894438
y[1] (numeric) = 1.9904931018245359145166746894441
absolute error = 3e-31
relative error = 1.5071642284266771566104470306467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 1.9903550441960673764493670065295
y[1] (numeric) = 1.9903550441960673764493670065297
absolute error = 2e-31
relative error = 1.0048458468915169644797995858842e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 1.9902159962126371718989482270114
y[1] (numeric) = 1.9902159962126371718989482270116
absolute error = 2e-31
relative error = 1.0049160512255864176420440742915e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 1.9900759580132932727082913350357
y[1] (numeric) = 1.9900759580132932727082913350359
absolute error = 2e-31
relative error = 1.0049867654280965072886633500590e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 1.9899349297380738665514459649294
y[1] (numeric) = 1.9899349297380738665514459649296
absolute error = 2e-31
relative error = 1.0050579896415260940810671647313e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 1.9897929115280072168954623969991
y[1] (numeric) = 1.9897929115280072168954623969993
absolute error = 2e-31
relative error = 1.0051297240093968008949722131981e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 1.9896499035251115219721398428361
y[1] (numeric) = 1.9896499035251115219721398428362
absolute error = 1e-31
relative error = 5.0260098433813681449942269421877e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 1.989505905872394772759840048366
y[1] (numeric) = 1.9895059058723947727598400483661
absolute error = 1e-31
relative error = 5.0263736189388278940040674992332e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 1.9893609187138546099755082328197
y[1] (numeric) = 1.9893609187138546099755082328198
absolute error = 1e-31
relative error = 5.0267399474526313758431314876131e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 1.9892149421944781800770443715908
y[1] (numeric) = 1.989214942194478180077044371591
absolute error = 2e-31
relative error = 1.0054217659322545973272942741022e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 1.9890679764602419902761688205978
y[1] (numeric) = 1.989067976460241990276168820598
absolute error = 2e-31
relative error = 1.0054960532616953133390573973376e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 1.9889200216581117625619272692718
y[1] (numeric) = 1.988920021658111762561927269272
absolute error = 2e-31
relative error = 1.0055708516286397191703756608917e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 1.9887710779360422867349809986543
y[1] (numeric) = 1.9887710779360422867349809986545
absolute error = 2e-31
relative error = 1.0056461611839262823506671282776e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 1.9886211454429772724528294103012
y[1] (numeric) = 1.9886211454429772724528294103014
absolute error = 2e-31
relative error = 1.0057219820794412902275539858543e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=15.2MB, alloc=4.3MB, time=0.62
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 1.9884702243288492002861127807586
y[1] (numeric) = 1.9884702243288492002861127807588
absolute error = 2e-31
relative error = 1.0057983144681195028234120157272e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 1.9883183147445791717861441852958
y[1] (numeric) = 1.988318314744579171786144185296
absolute error = 2e-31
relative error = 1.0058751585039448102980538486994e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 1.9881654168420767585638205233501
y[1] (numeric) = 1.9881654168420767585638205233503
absolute error = 2e-31
relative error = 1.0059525143419508950224113614814e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 1.9880115307742398503800635667605
y[1] (numeric) = 1.9880115307742398503800635667606
absolute error = 1e-31
relative error = 5.0301519106911094913405882080405e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 1.9878566566949545022479429403361
y[1] (numeric) = 1.9878566566949545022479429403362
absolute error = 1e-31
relative error = 5.0305438102494654575896202916916e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 1.9877007947590947805466339326243
y[1] (numeric) = 1.9877007947590947805466339326245
absolute error = 2e-31
relative error = 1.0061876542351515524019231486357e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 1.9875439451225226081473640229073
y[1] (numeric) = 1.9875439451225226081473640229074
absolute error = 1e-31
relative error = 5.0313352942661842263229162728394e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 1.9873861079420876085515029984672
y[1] (numeric) = 1.9873861079420876085515029984673
absolute error = 1e-31
relative error = 5.0317348803222085318381806625831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 1.9872272833756269490409525240183
y[1] (numeric) = 1.9872272833756269490409525240185
absolute error = 2e-31
relative error = 1.0064274060301127337338940958891e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 1.9870674715819651828409920129024
y[1] (numeric) = 1.9870674715819651828409920129025
absolute error = 1e-31
relative error = 5.0325417445632554081855432598379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 1.9869066727209140902957386371875
y[1] (numeric) = 1.9869066727209140902957386371876
absolute error = 1e-31
relative error = 5.0329490243775657987150902527648e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 1.9867448869532725190563803011996
y[1] (numeric) = 1.9867448869532725190563803011997
absolute error = 1e-31
relative error = 5.0333588704160566845338333877699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 1.9865821144408262232823413902376
y[1] (numeric) = 1.9865821144408262232823413902377
absolute error = 1e-31
relative error = 5.0337712835065732481595740054154e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 1.9864183553463477018555420932949
y[1] (numeric) = 1.9864183553463477018555420932951
absolute error = 2e-31
relative error = 1.0068372528964495151962928113393e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 1.9862536098335960356079130855139
y[1] (numeric) = 1.9862536098335960356079130855141
absolute error = 2e-31
relative error = 1.0069207628363004494499897890260e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=19.0MB, alloc=4.3MB, time=0.79
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 1.9860878780673167235623283428443
y[1] (numeric) = 1.9860878780673167235623283428445
absolute error = 2e-31
relative error = 1.0070047866896107892908019906781e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 1.985921160213241518187119847961
y[1] (numeric) = 1.9859211602132415181871198479612
absolute error = 2e-31
relative error = 1.0070893246261834198225026534807e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 1.9857534564380882596643389329105
y[1] (numeric) = 1.9857534564380882596643389329106
absolute error = 1e-31
relative error = 5.0358718840844075310066519868860e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 1.9855847669095607091719299902125
y[1] (numeric) = 1.9855847669095607091719299902126
absolute error = 1e-31
relative error = 5.0362997171681461508806471945451e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 1.9854150917963483811799832702289
y[1] (numeric) = 1.985415091796348381179983270229
absolute error = 1e-31
relative error = 5.0367301232470626566380541486165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 1.9852444312681263747612344685321
y[1] (numeric) = 1.9852444312681263747612344685322
absolute error = 1e-31
relative error = 5.0371631031913992650611999673230e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 1.9850727854955552039159797927608
y[1] (numeric) = 1.9850727854955552039159797927609
absolute error = 1e-31
relative error = 5.0375986578767144650814597912235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 1.9849001546502806269115761840325
y[1] (numeric) = 1.9849001546502806269115761840326
absolute error = 1e-31
relative error = 5.0380367881838867946282593425039e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 1.9847265389049334746366973533995
y[1] (numeric) = 1.9847265389049334746366973533996
absolute error = 1e-31
relative error = 5.0384774949991186410848730511387e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 1.9845519384331294779705172790773
y[1] (numeric) = 1.9845519384331294779705172790774
absolute error = 1e-31
relative error = 5.0389207792139400653792684886860e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 1.9843763534094690941669937952475
y[1] (numeric) = 1.9843763534094690941669937952476
absolute error = 1e-31
relative error = 5.0393666417252126497384297434273e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 1.9841997840095373322544258881378
y[1] (numeric) = 1.9841997840095373322544258881379
absolute error = 1e-31
relative error = 5.0398150834351333691347745877695e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 1.9840222304099035774504592998064
y[1] (numeric) = 1.9840222304099035774504592998065
absolute error = 1e-31
relative error = 5.0402661052512384864534628324771e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 1.9838436927881214145927160246115
y[1] (numeric) = 1.9838436927881214145927160246116
absolute error = 1e-31
relative error = 5.0407197080864074714095761345369e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 1.9836641713227284505852242677207
y[1] (numeric) = 1.9836641713227284505852242677208
absolute error = 1e-31
relative error = 5.0411758928588669432443327284863e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=22.8MB, alloc=4.3MB, time=0.96
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 1.983483666193246135860826419216
y[1] (numeric) = 1.9834836661932461358608264192161
absolute error = 1e-31
relative error = 5.0416346604921946372296840869981e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 1.9833021775801795848597435813723
y[1] (numeric) = 1.9833021775801795848597435813724
absolute error = 1e-31
relative error = 5.0420960119153233950108243876294e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 1.9831197056650173955244761705281
y[1] (numeric) = 1.9831197056650173955244761705282
absolute error = 1e-31
relative error = 5.0425599480625451788163278710881e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 1.9829362506302314678112210986348
y[1] (numeric) = 1.9829362506302314678112210986349
absolute error = 1e-31
relative error = 5.0430264698735151095658137243275e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 1.9827518126592768212179870230509
y[1] (numeric) = 1.982751812659276821217987023051
absolute error = 1e-31
relative error = 5.0434955782932555289052230114821e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 1.9825663919365914113295901364508
y[1] (numeric) = 1.982566391936591411329590136451
absolute error = 2e-31
relative error = 1.0087934548544320170399954818566e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 1.9823799886475959453797139518383
y[1] (numeric) = 1.9823799886475959453797139518385
absolute error = 2e-31
relative error = 1.0088883117531995687032950166730e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 1.9821926029786936968302175205875
y[1] (numeric) = 1.9821926029786936968302175205877
absolute error = 2e-31
relative error = 1.0089836865471834839245129940049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 1.9820042351172703189678775041899
y[1] (numeric) = 1.9820042351172703189678775041901
absolute error = 2e-31
relative error = 1.0090795794296902276075654013421e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 1.9818148852516936575187505029481
y[1] (numeric) = 1.9818148852516936575187505029483
absolute error = 2e-31
relative error = 1.0091759905951038428329344972188e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 1.9816245535713135622803430272392
y[1] (numeric) = 1.9816245535713135622803430272394
absolute error = 2e-31
relative error = 1.0092729202388867921062931390297e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 1.9814332402664616977717774791618
y[1] (numeric) = 1.981433240266461697771777479162
absolute error = 2e-31
relative error = 1.0093703685575808034358110689189e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 1.9812409455284513529021434943852
y[1] (numeric) = 1.9812409455284513529021434943854
absolute error = 2e-31
relative error = 1.0094683357488077212444583994990e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 1.9810476695495772496572249758333
y[1] (numeric) = 1.9810476695495772496572249758336
absolute error = 3e-31
relative error = 1.5143502330169055431854887313091e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.12
x[1] = 0.196
y[1] (analytic) = 1.9808534125231153508047941324606
y[1] (numeric) = 1.9808534125231153508047941324609
absolute error = 3e-31
relative error = 1.5144987413171300631520281044339e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 1.980658174643322666618664817809
y[1] (numeric) = 1.9806581746433226666186648178093
absolute error = 3e-31
relative error = 1.5146480288251861631463304393383e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 1.9804619561054370606216984442784
y[1] (numeric) = 1.9804619561054370606216984442787
absolute error = 3e-31
relative error = 1.5147980958440002173608341602801e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 1.9802647571056770543479567300861
y[1] (numeric) = 1.9802647571056770543479567300864
absolute error = 3e-31
relative error = 1.5149489426781252655753970838099e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 1.9800665778412416311241965167482
y[1] (numeric) = 1.9800665778412416311241965167485
absolute error = 3e-31
relative error = 1.5151005696337423332428237405056e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 1.979867418510310038870902875571
y[1] (numeric) = 1.9798674185103100388709028755713
absolute error = 3e-31
relative error = 1.5152529770186617588947844467261e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 1.9796672793120415919230577021024
y[1] (numeric) = 1.9796672793120415919230577021028
absolute error = 4e-31
relative error = 2.0205415535230993718374045891190e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 1.9794661604465754718708419777594
y[1] (numeric) = 1.9794661604465754718708419777597
absolute error = 3e-31
relative error = 1.5155601343158036194310507188101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 1.979264062115030527420470857911
y[1] (numeric) = 1.9792640621150305274204708579113
absolute error = 3e-31
relative error = 1.5157148848518053461107296031697e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 1.9790609845195050732753617255673
y[1] (numeric) = 1.9790609845195050732753617255676
absolute error = 3e-31
relative error = 1.5158704170646707205799096779146e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 1.9788569278630766880378363294873
y[1] (numeric) = 1.9788569278630766880378363294876
absolute error = 3e-31
relative error = 1.5160267312703768147652123105131e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 1.9786518923498020111315591049884
y[1] (numeric) = 1.9786518923498020111315591049887
absolute error = 3e-31
relative error = 1.5161838277865381323958138136096e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 1.9784458781847165387449147550011
y[1] (numeric) = 1.9784458781847165387449147550014
absolute error = 3e-31
relative error = 1.5163417069324079879332891639242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 1.9782388855738344187955291479752
y[1] (numeric) = 1.9782388855738344187955291479756
absolute error = 4e-31
relative error = 2.0220004920385065238705029532612e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 1.9780309147241482449161385680994
y[1] (numeric) = 1.9780309147241482449161385680997
absolute error = 3e-31
relative error = 1.5166598143984889496365564690110e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=30.5MB, alloc=4.3MB, time=1.29
x[1] = 0.211
y[1] (analytic) = 1.9778219658436288494620133319462
y[1] (numeric) = 1.9778219658436288494620133319466
absolute error = 4e-31
relative error = 2.0224267244872176699178382986142e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 1.977612039141225095540142764105
y[1] (numeric) = 1.9776120391412250955401427641054
absolute error = 4e-31
relative error = 2.0226414083406337282434217059670e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 1.9774011348268636680603895025966
y[1] (numeric) = 1.977401134826863668060389502597
absolute error = 4e-31
relative error = 2.0228571378615245231399158388189e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 1.9771892531114488638088220829006
y[1] (numeric) = 1.9771892531114488638088220829009
absolute error = 3e-31
relative error = 1.5173054351165330925482791767462e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 1.9769763942068623805434357272442
y[1] (numeric) = 1.9769763942068623805434357272446
absolute error = 4e-31
relative error = 2.0232917356632114925631470015457e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 1.9767625583259631051124722434151
y[1] (numeric) = 1.9767625583259631051124722434155
absolute error = 4e-31
relative error = 2.0235106048282457401857407345363e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 1.9765477456825869005955509147589
y[1] (numeric) = 1.9765477456825869005955509147593
absolute error = 4e-31
relative error = 2.0237305214292347163802008447365e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 1.976331956491546392467823240215
y[1] (numeric) = 1.9763319564915463924678232402155
absolute error = 5e-31
relative error = 2.5299393573922545204807052838998e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 1.9761151909686307537873653602166
y[1] (numeric) = 1.9761151909686307537873653602171
absolute error = 5e-31
relative error = 2.5302168734147294939111215318674e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 1.9758974493306054894060229810447
y[1] (numeric) = 1.9758974493306054894060229810452
absolute error = 5e-31
relative error = 2.5304957004190171564532112113104e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 1.9756787317952122192039245867742
y[1] (numeric) = 1.9756787317952122192039245867747
absolute error = 5e-31
relative error = 2.5307758389729287057768418451278e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 1.9754590385811684603478797042797
y[1] (numeric) = 1.9754590385811684603478797042802
absolute error = 5e-31
relative error = 2.5310572896470401690624942535257e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 1.975238369908167408573879962885
y[1] (numeric) = 1.9752383699081674085738799628855
absolute error = 5e-31
relative error = 2.5313400530146948881157424609929e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 1.9750167259968777184939216661375
y[1] (numeric) = 1.975016725996877718493921666138
absolute error = 5e-31
relative error = 2.5316241296520060170874492718091e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 1.9747941070689432829273695688655
y[1] (numeric) = 1.974794107068943282927369568866
absolute error = 5e-31
relative error = 2.5319095201378590328184704602865e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=34.3MB, alloc=4.3MB, time=1.46
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 1.9745705133469830112570825281373
y[1] (numeric) = 1.9745705133469830112570825281378
absolute error = 5e-31
relative error = 2.5321962250539142578277607380671e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 1.9743459450545906068105226719777
y[1] (numeric) = 1.9743459450545906068105226719782
absolute error = 5e-31
relative error = 2.5324842449846093959628750955369e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 1.9741204024163343432660707047136
y[1] (numeric) = 1.9741204024163343432660707047141
absolute error = 5e-31
relative error = 2.5327735805171620807319597690100e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 1.9738938856577568400847709426156
y[1] (numeric) = 1.9738938856577568400847709426162
absolute error = 6e-31
relative error = 3.0396770786898869236037135532063e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 1.9736663950053748369677306480716
y[1] (numeric) = 1.9736663950053748369677306480722
absolute error = 6e-31
relative error = 3.0400274409007507817083398467313e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 1.9734379306866789673393992048733
y[1] (numeric) = 1.9734379306866789673393992048739
absolute error = 6e-31
relative error = 3.0403793839678734786945855109978e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 1.9732084929301335308569536513194
y[1] (numeric) = 1.97320849293013353085695365132
absolute error = 6e-31
relative error = 3.0407329086092907222914515314984e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 1.9729780819651762649460180617296
y[1] (numeric) = 1.9729780819651762649460180617302
absolute error = 6e-31
relative error = 3.0410880155463896548898545640705e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 1.972746698022218115362945240631
y[1] (numeric) = 1.9727466980222181153629452406316
absolute error = 6e-31
relative error = 3.0414447055039120033357141473492e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 1.9725143413326430057838901673172
y[1] (numeric) = 1.9725143413326430057838901673178
absolute error = 6e-31
relative error = 3.0418029792099572441046236479964e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 1.9722810121288076064209056016861
y[1] (numeric) = 1.9722810121288076064209056016867
absolute error = 6e-31
relative error = 3.0421628373959857838819940014039e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 1.9720467106440411016652912352422
y[1] (numeric) = 1.9720467106440411016652912352428
absolute error = 6e-31
relative error = 3.0425242807968221555726825378280e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 1.9718114371126449567584287438953
y[1] (numeric) = 1.9718114371126449567584287438959
absolute error = 6e-31
relative error = 3.0428873101506582297642426900502e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 1.9715751917698926834903360717
y[1] (numeric) = 1.9715751917698926834903360717007
absolute error = 7e-31
relative error = 3.5504605805655658486127298594102e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 1.9713379748520296049261752469634
y[1] (numeric) = 1.9713379748520296049261752469641
absolute error = 7e-31
relative error = 3.5508878179681118724898367705815e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=38.1MB, alloc=4.3MB, time=1.62
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 1.9710997865962726191609490041922
y[1] (numeric) = 1.9710997865962726191609490041929
absolute error = 7e-31
relative error = 3.5513169082564381982249223134855e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 1.9708606272408099621026224571645
y[1] (numeric) = 1.9708606272408099621026224571652
absolute error = 7e-31
relative error = 3.5517478523075207460054227492605e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 1.9706204970248009692839070399837
y[1] (numeric) = 1.9706204970248009692839070399844
absolute error = 7e-31
relative error = 3.5521806510022830016182478925237e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 1.9703793961883758367029449043108
y[1] (numeric) = 1.9703793961883758367029449043115
absolute error = 7e-31
relative error = 3.5526153052255998719316894591292e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 1.9701373249726353806931329320715
y[1] (numeric) = 1.9701373249726353806931329320722
absolute error = 7e-31
relative error = 3.5530518158663015586077250173530e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 1.9698942836196507968223264937931
y[1] (numeric) = 1.9698942836196507968223264937938
absolute error = 7e-31
relative error = 3.5534901838171774500740406235301e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 1.9696502723724634178216640533481
y[1] (numeric) = 1.9696502723724634178216640533489
absolute error = 8e-31
relative error = 4.0616347542571200363259912261665e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 1.9694052914750844705442546902599
y[1] (numeric) = 1.9694052914750844705442546902607
absolute error = 8e-31
relative error = 4.0621399945604900740604275880829e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 1.9691593411724948319539715808613
y[1] (numeric) = 1.9691593411724948319539715808621
absolute error = 8e-31
relative error = 4.0626473605922448945417233921748e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 1.9689124217106447841445954494942
y[1] (numeric) = 1.968912421710644784144595449495
absolute error = 8e-31
relative error = 4.0631568533908592651295073313858e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 1.9686645333364537683895529705847
y[1] (numeric) = 1.9686645333364537683895529705855
absolute error = 8e-31
relative error = 4.0636684739993552921070949963022e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 1.9684156762978101382224960718362
y[1] (numeric) = 1.968415676297810138222496071837
absolute error = 8e-31
relative error = 4.0641822234653069945722102173436e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 1.9681658508435709115489690579392
y[1] (numeric) = 1.96816585084357091154896905794
absolute error = 8e-31
relative error = 4.0646981028408448994352703009504e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 1.9679150572235615217894114431114
y[1] (numeric) = 1.9679150572235615217894114431123
absolute error = 9e-31
relative error = 4.5733681273304932397551161825195e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 1.9676632956885755680537453494437
y[1] (numeric) = 1.9676632956885755680537453494445
absolute error = 8e-31
relative error = 4.0657362555520116810821365590172e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=41.9MB, alloc=4.3MB, time=1.79
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 1.9674105664903745643477972964435
y[1] (numeric) = 1.9674105664903745643477972964443
absolute error = 8e-31
relative error = 4.0662585310147258019392682440068e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 1.967156869881687687811805175334
y[1] (numeric) = 1.9671568698816876878118051753349
absolute error = 9e-31
relative error = 4.5751308082213566956071547353065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 1.9669022061162115259912621695806
y[1] (numeric) = 1.9669022061162115259912621695815
absolute error = 9e-31
relative error = 4.5757231711947392201775190876811e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 1.9666465754486098231403503507787
y[1] (numeric) = 1.9666465754486098231403503507796
absolute error = 9e-31
relative error = 4.5763179375262272629805618744130e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 1.9663899781345132255582176464501
y[1] (numeric) = 1.966389978134513225558217646451
absolute error = 9e-31
relative error = 4.5769151084354969112124928792545e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 1.9661324144305190259583528434479
y[1] (numeric) = 1.9661324144305190259583528434489
absolute error = 1.0e-30
relative error = 5.0861274279415472643861018365973e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 1.9658738845941909068713142575752
y[1] (numeric) = 1.9658738845941909068713142575761
absolute error = 9e-31
relative error = 4.5781166688919321870132857776241e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 1.9656143888840586830810686666656
y[1] (numeric) = 1.9656143888840586830810686666665
absolute error = 9e-31
relative error = 4.5787210609043129820137333389625e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 1.9653539275596180430951980707674
y[1] (numeric) = 1.9653539275596180430951980707684
absolute error = 1.0e-30
relative error = 5.0881420693610183994884272638175e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 1.9650925008813302896492328092017
y[1] (numeric) = 1.9650925008813302896492328092027
absolute error = 1.0e-30
relative error = 5.0888189718881272517875497956842e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 1.9648301091106220792453705301393
y[1] (numeric) = 1.9648301091106220792453705301404
absolute error = 1.1e-30
relative error = 5.5984484098623348184619508822390e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 1.9645667525098851607258414739579
y[1] (numeric) = 1.9645667525098851607258414739589
absolute error = 1.0e-30
relative error = 5.0901808183530698046296009585882e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 1.9643024313424761128811814969892
y[1] (numeric) = 1.9643024313424761128811814969902
absolute error = 1.0e-30
relative error = 5.0908657650877285309294985431725e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 1.9640371458727160810936752273647
y[1] (numeric) = 1.9640371458727160810936752273658
absolute error = 1.1e-30
relative error = 5.6007087356345143975828083854236e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.3MB, time=1.96
x[1] = 0.27
y[1] (analytic) = 1.9637708963658905130162327094922
y[1] (numeric) = 1.9637708963658905130162327094933
absolute error = 1.1e-30
relative error = 5.6014680838565987023130090620512e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 1.9635036830882488932869638582654
y[1] (numeric) = 1.9635036830882488932869638582665
absolute error = 1.1e-30
relative error = 5.6022303878233211179242761750288e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 1.9632355063070044772797160084106
y[1] (numeric) = 1.9632355063070044772797160084117
absolute error = 1.1e-30
relative error = 5.6029956491016392862380455200351e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 1.9629663662903340238908408084099
y[1] (numeric) = 1.9629663662903340238908408084109
absolute error = 1.0e-30
relative error = 5.0943307902408259819559099334717e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 1.9626962633073775273624576722117
y[1] (numeric) = 1.9626962633073775273624576722127
absolute error = 1.0e-30
relative error = 5.0950318635389900388027846286740e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 1.9624251976282379481424819654439
y[1] (numeric) = 1.9624251976282379481424819654449
absolute error = 1.0e-30
relative error = 5.0957356296106839601371289578471e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 1.9621531695239809427816870660775
y[1] (numeric) = 1.9621531695239809427816870660785
absolute error = 1.0e-30
relative error = 5.0964420899037171286702841213958e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 1.9618801792666345928680704024572
y[1] (numeric) = 1.9618801792666345928680704024582
absolute error = 1.0e-30
relative error = 5.0971512458717404437215687212819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 1.9616062271291891329987945343101
y[1] (numeric) = 1.9616062271291891329987945343111
absolute error = 1.0e-30
relative error = 5.0978630989742527393072801447340e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 1.9613313133855966777899753047686
y[1] (numeric) = 1.9613313133855966777899753047696
absolute error = 1.0e-30
relative error = 5.0985776506766072298183325934940e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 1.9610554383107709479245900535965
y[1] (numeric) = 1.9610554383107709479245900535975
absolute error = 1.0e-30
relative error = 5.0992949024500179833358581186582e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 1.9607786021805869952387798436879
y[1] (numeric) = 1.9607786021805869952387798436889
absolute error = 1.0e-30
relative error = 5.1000148557715664226343253735826e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 1.9605008052718809268468206145129
y[1] (numeric) = 1.9605008052718809268468206145139
absolute error = 1.0e-30
relative error = 5.1007375121242078539219597347593e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 1.9602220478624496283050391375165
y[1] (numeric) = 1.9602220478624496283050391375174
absolute error = 9e-31
relative error = 4.5913165856971002210316301693582e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 1.9599423302310504858149506095312
y[1] (numeric) = 1.9599423302310504858149506095322
absolute error = 1.0e-30
relative error = 5.1021909398839997014703807171879e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.3MB, time=2.12
x[1] = 0.285
y[1] (analytic) = 1.959661652657401107465895681044
y[1] (numeric) = 1.9596616526574011074658956810449
absolute error = 9e-31
relative error = 4.5926295428578403657738491742749e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 1.9593800154221790435174556766546
y[1] (numeric) = 1.9593800154221790435174556766556
absolute error = 1.0e-30
relative error = 5.1036551977107634887189449698404e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 1.9590974188070215057219257252902
y[1] (numeric) = 1.9590974188070215057219257252912
absolute error = 1.0e-30
relative error = 5.1043913916692459105170691646961e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 1.9588138630945250856871264776764
y[1] (numeric) = 1.9588138630945250856871264776774
absolute error = 1.0e-30
relative error = 5.1051302976802738306778190357374e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 1.9585293485682454722798360482323
y[1] (numeric) = 1.9585293485682454722798360482333
absolute error = 1.0e-30
relative error = 5.1058719172681048846716764997670e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 1.9582438755126971680701247779319
y[1] (numeric) = 1.9582438755126971680701247779329
absolute error = 1.0e-30
relative error = 5.1066162519629238259191461445522e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 1.9579574442133532048168763737751
y[1] (numeric) = 1.9579574442133532048168763737761
absolute error = 1.0e-30
relative error = 5.1073633033008493064452199655655e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 1.9576700549566448579947799393226
y[1] (numeric) = 1.9576700549566448579947799393236
absolute error = 1.0e-30
relative error = 5.1081130728239406857817023459649e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 1.9573817080299613603630783692788
y[1] (numeric) = 1.9573817080299613603630783692798
absolute error = 1.0e-30
relative error = 5.1088655620802048681697367000869e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 1.9570924037216496145763595393507
y[1] (numeric) = 1.9570924037216496145763595393517
absolute error = 1.0e-30
relative error = 5.1096207726236031681151113904122e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 1.956802142321013904837677680568
y[1] (numeric) = 1.9568021423210139048376776805691
absolute error = 1.1e-30
relative error = 5.6214165766154640247840752758266e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 1.9565109241183156075942932849186
y[1] (numeric) = 1.9565109241183156075942932849196
absolute error = 1.0e-30
relative error = 5.1111393638174608222483032164338e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 1.9562187494047729012763208465347
y[1] (numeric) = 1.9562187494047729012763208465357
absolute error = 1.0e-30
relative error = 5.1119027476056770447655360877536e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 1.9559256184725604750785746997598
y[1] (numeric) = 1.9559256184725604750785746997607
absolute error = 9e-31
relative error = 4.6014019730608995467346296232009e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 1.9556315316148092367859041722236
y[1] (numeric) = 1.9556315316148092367859041722245
absolute error = 9e-31
relative error = 4.6020939295085389700549947208734e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=53.4MB, alloc=4.3MB, time=2.29
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 1.955336489125606019642310227568
y[1] (numeric) = 1.955336489125606019642310227569
absolute error = 1.0e-30
relative error = 5.1142092706876420030287293303903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 1.9550404912999932882641367286816
y[1] (numeric) = 1.9550404912999932882641367286825
absolute error = 9e-31
relative error = 4.6034852168281691779694066047728e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 1.9547435384339688435976304082261
y[1] (numeric) = 1.9547435384339688435976304082271
absolute error = 1.0e-30
relative error = 5.1157606117534172829147181954506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 1.9544456308244855269211645888734
y[1] (numeric) = 1.9544456308244855269211645888744
absolute error = 1.0e-30
relative error = 5.1165403847951945866249120314287e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 1.9541467687694509228924226510006
y[1] (numeric) = 1.9541467687694509228924226510016
absolute error = 1.0e-30
relative error = 5.1173228949927425183599670247306e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 1.9538469525677270616408382006383
y[1] (numeric) = 1.9538469525677270616408382006394
absolute error = 1.1e-30
relative error = 5.6299189583625804138689588181426e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 1.9535461825191301199055898452054
y[1] (numeric) = 1.9535461825191301199055898452065
absolute error = 1.1e-30
relative error = 5.6307857466749611349428242894647e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 1.9532444589244301212194494390108
y[1] (numeric) = 1.9532444589244301212194494390118
absolute error = 1.0e-30
relative error = 5.1196868647494236233558366378330e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 1.9529417820853506351387836146492
y[1] (numeric) = 1.9529417820853506351387836146503
absolute error = 1.1e-30
relative error = 5.6325283738126609069895302046525e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 1.9526381523045684755200093702652
y[1] (numeric) = 1.9526381523045684755200093702662
absolute error = 1.0e-30
relative error = 5.1212765602257988685123627472396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 1.9523335698857133978428054362022
y[1] (numeric) = 1.9523335698857133978428054362032
absolute error = 1.0e-30
relative error = 5.1220755275879339656289087204656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 1.9520280351333677955803820978034
y[1] (numeric) = 1.9520280351333677955803820978044
absolute error = 1.0e-30
relative error = 5.1228772435723614773779875479121e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 1.9517215483530663956171131040662
y[1] (numeric) = 1.9517215483530663956171131040672
absolute error = 1.0e-30
relative error = 5.1236817098414287561152445723890e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 1.9514141098512959527138342444951
y[1] (numeric) = 1.9514141098512959527138342444961
absolute error = 1.0e-30
relative error = 5.1244889280635734687171030518765e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 1.9511057199354949430211141288279
y[1] (numeric) = 1.9511057199354949430211141288289
absolute error = 1.0e-30
relative error = 5.1252988999133310406023157435978e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=57.2MB, alloc=4.3MB, time=2.46
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 1.9507963789140532566408036563392
y[1] (numeric) = 1.9507963789140532566408036563402
absolute error = 1.0e-30
relative error = 5.1261116270713421292661180597210e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 1.9504860870963118892361716131461
y[1] (numeric) = 1.9504860870963118892361716131471
absolute error = 1.0e-30
relative error = 5.1269271112243601273849199863454e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 1.9501748447925626326909347873552
y[1] (numeric) = 1.9501748447925626326909347873562
absolute error = 1.0e-30
relative error = 5.1277453540652586955497252956420e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 1.9498626523140477648174919429938
y[1] (numeric) = 1.9498626523140477648174919429948
absolute error = 1.0e-30
relative error = 5.1285663572930393246867186166926e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 1.9495495099729597381146719444671
y[1] (numeric) = 1.9495495099729597381146719444681
absolute error = 1.0e-30
relative error = 5.1293901226128389282237136670064e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 1.9492354180824408675753072737661
y[1] (numeric) = 1.9492354180824408675753072737671
absolute error = 1.0e-30
relative error = 5.1302166517359374640614093872705e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 1.9489203769565830175439451328269
y[1] (numeric) = 1.9489203769565830175439451328279
absolute error = 1.0e-30
relative error = 5.1310459463797655864086548699288e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 1.9486043869104272876250092733052
y[1] (numeric) = 1.9486043869104272876250092733061
absolute error = 9e-31
relative error = 4.6186902074411210947870609479681e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 1.948287448259963697641726645576
y[1] (numeric) = 1.9482874482599636976417266455769
absolute error = 9e-31
relative error = 4.6194415552171195285891454534450e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 1.9479695613221308716461339080079
y[1] (numeric) = 1.9479695613221308716461339080088
absolute error = 9e-31
relative error = 4.6201953966321203874845556098588e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 1.9476507264148157209804797864775
y[1] (numeric) = 1.9476507264148157209804797864784
absolute error = 9e-31
relative error = 4.6209517332540231729178297576778e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 1.9473309438568531263903402226954
y[1] (numeric) = 1.9473309438568531263903402226963
absolute error = 9e-31
relative error = 4.6217105666562978513145725157266e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 1.9470102139680256191897641982033
y[1] (numeric) = 1.9470102139680256191897641982042
absolute error = 9e-31
relative error = 4.6224718984179919031306275914817e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 1.9466885370690630614787690688678
y[1] (numeric) = 1.9466885370690630614787690688687
absolute error = 9e-31
relative error = 4.6232357301237373991582827719637e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 1.9463659134816423254135051923513
y[1] (numeric) = 1.9463659134816423254135051923522
absolute error = 9e-31
relative error = 4.6240020633637581041446410510263e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=61.0MB, alloc=4.3MB, time=2.63
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 1.9460423435283869715294105783662
y[1] (numeric) = 1.9460423435283869715294105783671
absolute error = 9e-31
relative error = 4.6247708997338766077775264504044e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 1.9457178275328669261176772385331
y[1] (numeric) = 1.945717827532866926117677238534
absolute error = 9e-31
relative error = 4.6255422408355214830945283609599e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 1.9453923658195981576553518593481
y[1] (numeric) = 1.945392365819598157655351859349
absolute error = 9e-31
relative error = 4.6263160882757344723710241703554e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 1.9450659587140423522893943681328
y[1] (numeric) = 1.9450659587140423522893943681338
absolute error = 1.0e-30
relative error = 5.1412138262968641117147295077744e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 1.9447386065426065883750189078808
y[1] (numeric) = 1.9447386065426065883750189078818
absolute error = 1.0e-30
relative error = 5.1420792318090454624697545785867e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 1.9444103096326430100686426826321
y[1] (numeric) = 1.9444103096326430100686426826331
absolute error = 1.0e-30
relative error = 5.1429474275361652892875799906416e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 1.9440810683124484999757690804005
y[1] (numeric) = 1.9440810683124484999757690804015
absolute error = 1.0e-30
relative error = 5.1438184152888534028948530134037e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 1.943750882911264350854132425743
y[1] (numeric) = 1.943750882911264350854132425744
absolute error = 1.0e-30
relative error = 5.1446921968840168504999633659405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 1.9434197537592759363724326587988
y[1] (numeric) = 1.9434197537592759363724326587998
absolute error = 1.0e-30
relative error = 5.1455687741448480846239602934521e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 1.9430876811876123809249891820363
y[1] (numeric) = 1.9430876811876123809249891820373
absolute error = 1.0e-30
relative error = 5.1464481489008331629053807184733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 1.9427546655283462285026440600266
y[1] (numeric) = 1.9427546655283462285026440600275
absolute error = 9e-31
relative error = 4.6325972906889839810488414304234e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 1.9424207071144931106202457013121
y[1] (numeric) = 1.942420707114493110620245701313
absolute error = 9e-31
relative error = 4.6333937684229538718178387131858e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 1.9420858062800114133010450948604
y[1] (numeric) = 1.9420858062800114133010450948612
absolute error = 8e-31
relative error = 4.1192824612233193450602104149994e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 1.9417499633598019431183376166772
y[1] (numeric) = 1.9417499633598019431183376166781
absolute error = 9e-31
relative error = 4.6349942937180939432714298071154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 1.9414131786897075922946843649114
y[1] (numeric) = 1.9414131786897075922946843649122
absolute error = 8e-31
memory used=64.8MB, alloc=4.3MB, time=2.80
relative error = 4.1207096396653362347172264617922e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 1.9410754526065130028590479241997
y[1] (numeric) = 1.9410754526065130028590479242005
absolute error = 8e-31
relative error = 4.1214265984650148353438824984369e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 1.9407367854479442298621784020909
y[1] (numeric) = 1.9407367854479442298621784020917
absolute error = 8e-31
relative error = 4.1221458056474714430219008162702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 1.9403971775526684036505865221322
y[1] (numeric) = 1.940397177552668403650586522133
absolute error = 8e-31
relative error = 4.1228672627168131215287969763994e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 1.9400566292602933911994414996184
y[1] (numeric) = 1.9400566292602933911994414996193
absolute error = 9e-31
relative error = 4.6390398425800222285498671195137e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 1.9397151409113674565047323670778
y[1] (numeric) = 1.9397151409113674565047323670787
absolute error = 9e-31
relative error = 4.6398565491278197366003722221219e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 1.9393727128473789200350323573037
y[1] (numeric) = 1.9393727128473789200350323573045
absolute error = 8e-31
relative error = 4.1250451483636858024863402852388e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 1.9390293454107558172432068921403
y[1] (numeric) = 1.9390293454107558172432068921411
absolute error = 8e-31
relative error = 4.1257756201236416375091089051730e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 1.9386850389448655561384066652863
y[1] (numeric) = 1.9386850389448655561384066652871
absolute error = 8e-31
relative error = 4.1265083493675801471600478076042e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 1.9383397937940145739186882470937
y[1] (numeric) = 1.9383397937940145739186882470945
absolute error = 8e-31
relative error = 4.1272433376302813383002901515126e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 1.9379936103034479926646055787134
y[1] (numeric) = 1.9379936103034479926646055787142
absolute error = 8e-31
relative error = 4.1279805864516615084622399676628e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 1.937646488819349274094116661967
y[1] (numeric) = 1.9376464888193492740941166619678
absolute error = 8e-31
relative error = 4.1287200973767802092889012463146e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 1.9372984296888398733791506900099
y[1] (numeric) = 1.9372984296888398733791506900107
absolute error = 8e-31
relative error = 4.1294618719558472356547312362800e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 1.9369494332599788920241818021889
y[1] (numeric) = 1.9369494332599788920241818021897
absolute error = 8e-31
relative error = 4.1302059117442296405230985543782e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 1.9365994998817627298071565844923
y[1] (numeric) = 1.9365994998817627298071565844931
absolute error = 8e-31
relative error = 4.1309522183024587755956529447573e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=4.4MB, time=2.97
x[1] = 0.359
y[1] (analytic) = 1.9362486299041247357831233746356
y[1] (numeric) = 1.9362486299041247357831233746364
absolute error = 8e-31
relative error = 4.1317007931962373578091404436683e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 1.9358968236779348583509123681247
y[1] (numeric) = 1.9358968236779348583509123681255
absolute error = 8e-31
relative error = 4.1324516379964465617354253002022e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 1.935544081554999294383216458587
y[1] (numeric) = 1.9355440815549992943832164585877
absolute error = 7e-31
relative error = 3.6165541599942589956981197453045e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 1.9351904038880601374204236822605
y[1] (numeric) = 1.9351904038880601374204236822612
absolute error = 7e-31
relative error = 3.6172151256724144876901399506773e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 1.9348357910307950249285530727796
y[1] (numeric) = 1.9348357910307950249285530727803
absolute error = 7e-31
relative error = 3.6178780816695091590263649902181e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 1.9344802433378167846216466682912
y[1] (numeric) = 1.9344802433378167846216466682919
absolute error = 7e-31
relative error = 3.6185430293782511527052935933073e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 1.9341237611646730798489713484808
y[1] (numeric) = 1.9341237611646730798489713484815
absolute error = 7e-31
relative error = 3.6192099701959111331075444616641e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 1.9337663448678460540473851142766
y[1] (numeric) = 1.9337663448678460540473851142773
absolute error = 7e-31
relative error = 3.6198789055243286288735534135592e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 1.9334079948047519742592233578357
y[1] (numeric) = 1.9334079948047519742592233578364
absolute error = 7e-31
relative error = 3.6205498367699183987937412546215e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 1.9330487113337408737160616048967
y[1] (numeric) = 1.9330487113337408737160616048974
absolute error = 7e-31
relative error = 3.6212227653436768207615584332622e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 1.9326884948140961934887121457059
y[1] (numeric) = 1.9326884948140961934887121457066
absolute error = 7e-31
relative error = 3.6218976926611883038400171538870e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 1.9323273456060344232038129044909
y[1] (numeric) = 1.9323273456060344232038129044916
absolute error = 7e-31
relative error = 3.6225746201426317234925268579095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 1.9319652640707047408273678308622
y[1] (numeric) = 1.9319652640707047408273678308629
absolute error = 7e-31
relative error = 3.6232535492127868800290548439675e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 1.9316022505701886515155990295735
y[1] (numeric) = 1.9316022505701886515155990295742
absolute error = 7e-31
relative error = 3.6239344813010409803188402875072e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 1.9312383054674996255334717777569
y[1] (numeric) = 1.9312383054674996255334717777576
absolute error = 7e-31
relative error = 3.6246174178413951428210970389125e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=72.4MB, alloc=4.4MB, time=3.14
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 1.9308734291265827352412545110794
y[1] (numeric) = 1.9308734291265827352412545110801
absolute error = 7e-31
relative error = 3.6253023602724709259853483314666e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 1.9305076219123142911494767922296
y[1] (numeric) = 1.9305076219123142911494767922302
absolute error = 6e-31
relative error = 3.1079908371750144686342099301732e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 1.9301408841905014770426492067458
y[1] (numeric) = 1.9301408841905014770426492067464
absolute error = 6e-31
relative error = 3.1085813730723558192462233025772e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 1.929773216327881984172110062437
y[1] (numeric) = 1.9297732163278819841721100624376
absolute error = 6e-31
relative error = 3.1091736320277325169358869635125e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 1.9294046186921236445183646995176
y[1] (numeric) = 1.9294046186921236445183646995182
absolute error = 6e-31
relative error = 3.1097676152901466230968665829421e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 1.929035091651824063123284149087
y[1] (numeric) = 1.9290350916518240631232841490876
absolute error = 6e-31
relative error = 3.1103633241125888571444799942848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 1.9286646355765102494925308077246
y[1] (numeric) = 1.9286646355765102494925308077251
absolute error = 5e-31
relative error = 2.5924672997933702611780904299166e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 1.9282932508366382480685797257438
y[1] (numeric) = 1.9282932508366382480685797257443
absolute error = 5e-31
relative error = 2.5929666028912484986693435674535e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 1.9279209378035927677747050360532
y[1] (numeric) = 1.9279209378035927677747050360537
absolute error = 5e-31
relative error = 2.5934673471082846570092162805357e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 1.927547696849686810630301979607
y[1] (numeric) = 1.9275476968496868106303019796075
absolute error = 5e-31
relative error = 2.5939695335019810063400524528633e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 1.9271735283481612994379159120923
y[1] (numeric) = 1.9271735283481612994379159120928
absolute error = 5e-31
relative error = 2.5944731631331876888289996180427e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 1.9267984326731847045423506047928
y[1] (numeric) = 1.9267984326731847045423506047933
absolute error = 5e-31
relative error = 2.5949782370661075679071460507444e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 1.9264224101998526696622290804899
y[1] (numeric) = 1.9264224101998526696622290804904
absolute error = 5e-31
relative error = 2.5954847563683010946556496898321e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 1.9260454613041876367943811528091
y[1] (numeric) = 1.9260454613041876367943811528096
absolute error = 5e-31
relative error = 2.5959927221106911913777180698096e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 1.9256675863631384701914327645926
y[1] (numeric) = 1.9256675863631384701914327645931
absolute error = 5e-31
relative error = 2.5965021353675681523954533819911e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=76.2MB, alloc=4.4MB, time=3.31
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 1.9252887857545800794129731476774
y[1] (numeric) = 1.9252887857545800794129731476779
absolute error = 5e-31
relative error = 2.5970129972165945621107322157865e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 1.9249090598573130414506767528811
y[1] (numeric) = 1.9249090598573130414506767528816
absolute error = 5e-31
relative error = 2.5975253087388102303694454455841e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 1.9245284090510632219277578250411
y[1] (numeric) = 1.9245284090510632219277578250416
absolute error = 5e-31
relative error = 2.5980390710186371451685801321093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 1.9241468337164813953731364236214
y[1] (numeric) = 1.9241468337164813953731364236219
absolute error = 5e-31
relative error = 2.5985542851438844427457822010188e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 1.9237643342351428645706956146894
y[1] (numeric) = 1.9237643342351428645706956146898
absolute error = 4e-31
relative error = 2.0792567617646027160729568384690e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 1.9233809109895470789840104849733
y[1] (numeric) = 1.9233809109895470789840104849738
absolute error = 5e-31
relative error = 2.5995890732988424149215351018451e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 1.9229965643631172522569305532408
y[1] (numeric) = 1.9229965643631172522569305532413
absolute error = 5e-31
relative error = 2.6001086495211520781564957532072e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 1.9226112947401999787903980783825
y[1] (numeric) = 1.922611294740199978790398078383
absolute error = 5e-31
relative error = 2.6006296819740901639377859396193e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 1.9222251025060648493958856873514
y[1] (numeric) = 1.9222251025060648493958856873519
absolute error = 5e-31
relative error = 2.6011521717624767122311990509709e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 1.9218379880469040660258376694886
y[1] (numeric) = 1.9218379880469040660258376694891
absolute error = 5e-31
relative error = 2.6016761199945490990523237080029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 1.9214499517498320555815002067615
y[1] (numeric) = 1.921449951749832055581500206762
absolute error = 5e-31
relative error = 2.6022015277819671293566403536325e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 1.9210609940028850827985267320518
y[1] (numeric) = 1.9210609940028850827985267320523
absolute error = 5e-31
relative error = 2.6027283962398181476349164956869e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 1.9206711151950208622107455298569
y[1] (numeric) = 1.9206711151950208622107455298574
absolute error = 5e-31
relative error = 2.6032567264866221662549738482904e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 1.9202803157161181691924776156028
y[1] (numeric) = 1.9202803157161181691924776156034
absolute error = 6e-31
relative error = 3.1245438235732044139092750490653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 1.9198885959569764500797938512206
y[1] (numeric) = 1.9198885959569764500797938512212
absolute error = 6e-31
relative error = 3.1251813322060361855786880010576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=80.1MB, alloc=4.4MB, time=3.47
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 1.9194959563093154313711011756945
y[1] (numeric) = 1.9194959563093154313711011756951
absolute error = 6e-31
relative error = 3.1258205990370606714735780845361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 1.9191023971657747280074487499645
y[1] (numeric) = 1.9191023971657747280074487499651
absolute error = 6e-31
relative error = 3.1264616254250406599952976710700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 1.9187079189199134507329457358444
y[1] (numeric) = 1.918707918919913450732945735845
absolute error = 6e-31
relative error = 3.1271044127328892322216737175451e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 1.9183125219662098125356833485036
y[1] (numeric) = 1.9183125219662098125356833485042
absolute error = 6e-31
relative error = 3.1277489623276760447369764152206e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 1.9179162067000607341695547415594
y[1] (numeric) = 1.91791620670006073416955474156
absolute error = 6e-31
relative error = 3.1283952755806336341080247848297e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 1.9175189735177814487573672029263
y[1] (numeric) = 1.917518973517781448757367202927
absolute error = 7e-31
relative error = 3.6505505795116910335668372039443e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 1.917120822816605105475642058277
y[1] (numeric) = 1.9171208228166051054756420582777
absolute error = 7e-31
relative error = 3.6513087316613176131147236089912e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 1.9167217549946823723214985972821
y[1] (numeric) = 1.9167217549946823723214985972828
absolute error = 7e-31
relative error = 3.6520689462406714024656775733182e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 1.9163217704510810379620192557123
y[1] (numeric) = 1.916321770451081037962019255713
absolute error = 7e-31
relative error = 3.6528312248690245269123077650111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 1.915920869585785612666494204004
y[1] (numeric) = 1.9159208695857856126664942040047
absolute error = 7e-31
relative error = 3.6535955691705429620631398258279e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 1.9155190527996969283219444100102
y[1] (numeric) = 1.9155190527996969283219444100109
absolute error = 7e-31
relative error = 3.6543619807742940418419292138193e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 1.9151163204946317375323231603814
y[1] (numeric) = 1.9151163204946317375323231603821
absolute error = 7e-31
relative error = 3.6551304613142539921610655201482e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 1.9147126730733223118017969413405
y[1] (numeric) = 1.9147126730733223118017969413412
absolute error = 7e-31
relative error = 3.6559010124293154903300483949382e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 1.9143081109394160388025074955377
y[1] (numeric) = 1.9143081109394160388025074955384
absolute error = 7e-31
relative error = 3.6566736357632952502602530732324e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 1.9139026344974750187272177871901
y[1] (numeric) = 1.9139026344974750187272177871908
absolute error = 7e-31
relative error = 3.6574483329649416335274421196241e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=83.9MB, alloc=4.4MB, time=3.65
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 1.9134962441529756597272455228257
y[1] (numeric) = 1.9134962441529756597272455228264
absolute error = 7e-31
relative error = 3.6582251056879422863537194122608e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 1.9130889403123082724360887896657
y[1] (numeric) = 1.9130889403123082724360887896664
absolute error = 7e-31
relative error = 3.6590039555909318025708625671599e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 1.912680723382776663579149287984
y[1] (numeric) = 1.9126807233827766635791492879847
absolute error = 7e-31
relative error = 3.6597848843374994126272109655865e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 1.9122715937725977286699595476886
y[1] (numeric) = 1.9122715937725977286699595476893
absolute error = 7e-31
relative error = 3.6605678935961966987005282940820e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 1.9118615518909010437933214328626
y[1] (numeric) = 1.9118615518909010437933214328632
absolute error = 6e-31
relative error = 3.1383025586061817165538580360963e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 1.911450598147728456475764151092
y[1] (numeric) = 1.9114505981477284564757641510927
absolute error = 7e-31
relative error = 3.6621401603490448601767777297078e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 1.9110387329540336756437308970901
y[1] (numeric) = 1.9110387329540336756437308970908
absolute error = 7e-31
relative error = 3.6629294212051804613366977604212e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 1.9106259567216818606699041723951
y[1] (numeric) = 1.9106259567216818606699041723958
absolute error = 7e-31
relative error = 3.6637207692974308040011037169770e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 1.910212269863449209508080734783
y[1] (numeric) = 1.9102122698634492095080807347837
absolute error = 7e-31
relative error = 3.6645142063192758737968766416440e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 1.9097976727930225459170080424865
y[1] (numeric) = 1.9097976727930225459170080424872
absolute error = 7e-31
relative error = 3.6653097339692048505090803742320e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 1.9093821659249989057735949693482
y[1] (numeric) = 1.9093821659249989057735949693489
absolute error = 7e-31
relative error = 3.6661073539507240077038483612368e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 1.9089657496748851224759104776634
y[1] (numeric) = 1.9089657496748851224759104776642
absolute error = 8e-31
relative error = 4.1907509348255595873890222898837e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 1.90854842445909741143638484568
y[1] (numeric) = 1.9085484244590974114363848456807
absolute error = 7e-31
relative error = 3.6677088777476910108117785818848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 1.9081301906949609536656289565175
y[1] (numeric) = 1.9081301906949609536656289565182
absolute error = 7e-31
relative error = 3.6685127849953083423543065878650e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 1.9077110488007094784472880646543
y[1] (numeric) = 1.9077110488007094784472880646549
absolute error = 6e-31
relative error = 3.1451303926618892672277402085502e-29 %
Correct digits = 30
h = 0.001
memory used=87.7MB, alloc=4.4MB, time=3.82
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 1.9072909991954848451043473650912
y[1] (numeric) = 1.9072909991954848451043473650918
absolute error = 6e-31
relative error = 3.1458230561203625053906240802957e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 1.9068700422993366238573075988539
y[1] (numeric) = 1.9068700422993366238573075988546
absolute error = 7e-31
relative error = 3.6709371088337408991866695089977e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 1.9064481785332216757746498366219
y[1] (numeric) = 1.9064481785332216757746498366226
absolute error = 7e-31
relative error = 3.6717494232576741036943826998590e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 1.9060254083190037318160094899842
y[1] (numeric) = 1.906025408319003731816009489985
absolute error = 8e-31
relative error = 4.1972158215117940808166496833238e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 1.9056017320794529709684805071144
y[1] (numeric) = 1.9056017320794529709684805071151
absolute error = 7e-31
relative error = 3.6733803722781980636472229087095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 1.9051771502382455974764716165229
y[1] (numeric) = 1.9051771502382455974764716165237
absolute error = 8e-31
relative error = 4.1990845832890587547725193712747e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 1.9047516632199634171655373889984
y[1] (numeric) = 1.9047516632199634171655373889991
absolute error = 7e-31
relative error = 3.6750197598812281994924040423398e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 1.9043252714500934128606077938682
y[1] (numeric) = 1.904325271450093412860607793869
absolute error = 8e-31
relative error = 4.2009629972027894321252582649955e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 1.9038979753550273188990408313166
y[1] (numeric) = 1.9038979753550273188990408313174
absolute error = 8e-31
relative error = 4.2019058287554555749504898863915e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 1.9034697753620611947389237276696
y[1] (numeric) = 1.9034697753620611947389237276704
absolute error = 8e-31
relative error = 4.2028510794075050216544381603657e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 1.9030406718993949976630490853117
y[1] (numeric) = 1.9030406718993949976630490853125
absolute error = 8e-31
relative error = 4.2037987511929136442480796405939e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 1.9026106653961321545789932832218
y[1] (numeric) = 1.9026106653961321545789932832226
absolute error = 8e-31
relative error = 4.2047488461515397739612978566835e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 1.9021797562822791329157253280146
y[1] (numeric) = 1.9021797562822791329157253280154
absolute error = 8e-31
relative error = 4.2057013663291337566995591733307e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 1.9017479449887450106171752588427
y[1] (numeric) = 1.9017479449887450106171752588435
absolute error = 8e-31
relative error = 4.2066563137773475402118847613498e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=3.99
x[1] = 0.448
y[1] (analytic) = 1.9013152319473410452331921125551
y[1] (numeric) = 1.9013152319473410452331921125559
absolute error = 8e-31
relative error = 4.2076136905537442930489662329141e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 1.9008816175907802421083223581184
y[1] (numeric) = 1.9008816175907802421083223581192
absolute error = 8e-31
relative error = 4.2085734987218080553905745623625e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 1.9004471023526769216688406114864
y[1] (numeric) = 1.9004471023526769216688406114873
absolute error = 9e-31
relative error = 4.7357277078948225995494293730509e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 1.9000116866675462858084653438511
y[1] (numeric) = 1.9000116866675462858084653438519
absolute error = 8e-31
relative error = 4.2105004175165352561372847766060e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 1.8995753709708039833731931975225
y[1] (numeric) = 1.8995753709708039833731931975233
absolute error = 8e-31
relative error = 4.2114675322998584382552955733283e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 1.899138155698765674745686424569
y[1] (numeric) = 1.8991381556987656747456864245699
absolute error = 9e-31
relative error = 4.7389917226367110987339073908685e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 1.898700041288646595529648863792
y[1] (numeric) = 1.8987000412886465955296488637928
absolute error = 8e-31
relative error = 4.2134090830747571530687989719032e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 1.8982610281785611193346267716233
y[1] (numeric) = 1.8982610281785611193346267716241
absolute error = 8e-31
relative error = 4.2143835232587806995643088337900e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 1.8978211168075223196616717221096
y[1] (numeric) = 1.8978211168075223196616717221104
absolute error = 8e-31
relative error = 4.2153604094454613413388887449742e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 1.8973803076154415308903036902821
y[1] (numeric) = 1.8973803076154415308903036902828
absolute error = 7e-31
relative error = 3.6892972757777512005588207477881e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 1.8969386010431279083672133319129
y[1] (numeric) = 1.8969386010431279083672133319136
absolute error = 7e-31
relative error = 3.6901563372429107290999220741487e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 1.8964959975322879875971433709198
y[1] (numeric) = 1.8964959975322879875971433709206
absolute error = 8e-31
relative error = 4.2183057651635246310470748777093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 1.8960524975255252425363899035004
y[1] (numeric) = 1.8960524975255252425363899035012
absolute error = 8e-31
relative error = 4.2192924565329982571935800869880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 1.895608101466339642989365325457
y[1] (numeric) = 1.8956081014663396429893653254578
absolute error = 8e-31
relative error = 4.2202816045213321143286969510917e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 1.8951628097991272111086654861145
y[1] (numeric) = 1.8951628097991272111086654861153
absolute error = 8e-31
relative error = 4.2212732112698744455733907136123e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=95.3MB, alloc=4.4MB, time=4.16
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 1.8947166229691795769990845687246
y[1] (numeric) = 1.8947166229691795769990845687254
absolute error = 8e-31
relative error = 4.2222672789260328685887211505412e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 1.8942695414226835334260220933066
y[1] (numeric) = 1.8942695414226835334260220933074
absolute error = 8e-31
relative error = 4.2232638096432845141491579012118e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 1.8938215656067205896287273334791
y[1] (numeric) = 1.8938215656067205896287273334799
absolute error = 8e-31
relative error = 4.2242628055811861978935067903440e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 1.8933726959692665242388273340021
y[1] (numeric) = 1.893372695969266524238827334003
absolute error = 9e-31
relative error = 4.7534223025185577035051273691963e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 1.8929229329591909373045856104637
y[1] (numeric) = 1.8929229329591909373045856104646
absolute error = 9e-31
relative error = 4.7545517270110799590149959493848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 1.892472277026256801421339506815
y[1] (numeric) = 1.8924722770262568014213395068159
absolute error = 9e-31
relative error = 4.7556839322064906271646267091554e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 1.8920207286211200119685650802794
y[1] (numeric) = 1.8920207286211200119685650802803
absolute error = 9e-31
relative error = 4.7568189205617648894639275675040e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 1.8915682881953289364540192765334
y[1] (numeric) = 1.8915682881953289364540192765343
absolute error = 9e-31
relative error = 4.7579566945407753522039746130520e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 1.8911149562013239629654100509787
y[1] (numeric) = 1.8911149562013239629654100509796
absolute error = 9e-31
relative error = 4.7590972566143037156333490204689e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 1.890660733092437047730045984399
y[1] (numeric) = 1.8906607330924370477300459843999
absolute error = 9e-31
relative error = 4.7602406092600524811319098528164e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 1.8902056193228912617829178333128
y[1] (numeric) = 1.8902056193228912617829178333137
absolute error = 9e-31
relative error = 4.7613867549626566964795564760217e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 1.8897496153478003367436653469044
y[1] (numeric) = 1.8897496153478003367436653469053
absolute error = 9e-31
relative error = 4.7625356962136957393179042575935e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 1.8892927216231682097028835735269
y[1] (numeric) = 1.8892927216231682097028835735278
absolute error = 9e-31
relative error = 4.7636874355117051389031684424808e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 1.8888349386058885672182237704341
y[1] (numeric) = 1.8888349386058885672182237704349
absolute error = 8e-31
relative error = 4.2354150892108341655545987557524e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 1.8883762667537443884207449206015
y[1] (numeric) = 1.8883762667537443884207449206024
absolute error = 9e-31
relative error = 4.7659993182776290827577798248870e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=99.1MB, alloc=4.4MB, time=4.33
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 1.8879167065254074872319727502484
y[1] (numeric) = 1.8879167065254074872319727502493
absolute error = 9e-31
relative error = 4.7671594667775023774413919484385e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 1.8874562583804380536921240299613
y[1] (numeric) = 1.8874562583804380536921240299622
absolute error = 9e-31
relative error = 4.7683224233882874428285944046580e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 1.8869949227792841943999548311587
y[1] (numeric) = 1.8869949227792841943999548311596
absolute error = 9e-31
relative error = 4.7694881906434792396618320604904e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 1.8865327001832814720646922980094
y[1] (numeric) = 1.8865327001832814720646922980102
absolute error = 8e-31
relative error = 4.2405837965187561070954989512688e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 1.8860695910546524441705103828338
y[1] (numeric) = 1.8860695910546524441705103828347
absolute error = 9e-31
relative error = 4.7718281672562144222056761107191e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 1.8856055958565062007540108804759
y[1] (numeric) = 1.8856055958565062007540108804768
absolute error = 9e-31
relative error = 4.7730023817159355977868949807309e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 1.8851407150528379012951719841238
y[1] (numeric) = 1.8851407150528379012951719841246
absolute error = 8e-31
relative error = 4.2437150373550607885159364395646e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 1.8846749491085283107222274715935
y[1] (numeric) = 1.8846749491085283107222274715943
absolute error = 8e-31
relative error = 4.2447638006671053573274492309867e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 1.884208298489343334530940517158
y[1] (numeric) = 1.8842082984893433345309405171588
absolute error = 8e-31
relative error = 4.2458150759732715564770858203023e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 1.8837407636619335530187370096079
y[1] (numeric) = 1.8837407636619335530187370096087
absolute error = 8e-31
relative error = 4.2468688655695109585569448230878e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 1.8832723450938337546341641423728
y[1] (numeric) = 1.8832723450938337546341641423736
absolute error = 8e-31
relative error = 4.2479251717580981266567481239489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 1.882803043253462468442140926205
y[1] (numeric) = 1.8828030432534624684421409262058
absolute error = 8e-31
relative error = 4.2489839968476416084631550163386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 1.8823328586101214957054681591367
y[1] (numeric) = 1.8823328586101214957054681591375
absolute error = 8e-31
relative error = 4.2500453431530949657466873062150e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 1.8818617916339954405830662721614
y[1] (numeric) = 1.8818617916339954405830662721622
absolute error = 8e-31
relative error = 4.2511092129957678393290764513930e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 1.8813898427961512399454103523624
y[1] (numeric) = 1.8813898427961512399454103523632
absolute error = 8e-31
relative error = 4.2521756087033370496241938272228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=102.9MB, alloc=4.4MB, time=4.50
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 1.8809170125685376923076325280146
y[1] (numeric) = 1.8809170125685376923076325280154
absolute error = 8e-31
relative error = 4.2532445326098577328460764542696e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 1.8804433014239849858807627825173
y[1] (numeric) = 1.8804433014239849858807627825182
absolute error = 9e-31
relative error = 4.7861054854377463271001521254031e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 1.8799687098362042257415801458792
y[1] (numeric) = 1.8799687098362042257415801458801
absolute error = 9e-31
relative error = 4.7873137211864242982957346559727e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 1.8794932382797869601215470938628
y[1] (numeric) = 1.8794932382797869601215470938636
absolute error = 8e-31
relative error = 4.2564664969595895816447018551466e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 1.8790168872302047058153008658165
y[1] (numeric) = 1.8790168872302047058153008658173
absolute error = 8e-31
relative error = 4.2575455571304256072529640589527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 1.8785396571638084727091762926628
y[1] (numeric) = 1.8785396571638084727091762926636
absolute error = 8e-31
relative error = 4.2586271572665557996949671946829e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 1.8780615485578282874302356064793
y[1] (numeric) = 1.87806154855782828743023560648
absolute error = 7e-31
relative error = 3.7272473872729734271353587670508e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 1.8775825618903727161162815826038
y[1] (numeric) = 1.8775825618903727161162815826046
absolute error = 8e-31
relative error = 4.2607979869313995633948077194479e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 1.8771026976404283863073312442114
y[1] (numeric) = 1.8771026976404283863073312442122
absolute error = 8e-31
relative error = 4.2618872212246181884247123468564e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 1.8766219562878595079590282378478
y[1] (numeric) = 1.8766219562878595079590282378486
absolute error = 8e-31
relative error = 4.2629790050121639742647936419039e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 1.8761403383134073935784728664688
y[1] (numeric) = 1.8761403383134073935784728664695
absolute error = 7e-31
relative error = 3.7310641731059336682908894574359e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 1.8756578441986899774829496441145
y[1] (numeric) = 1.8756578441986899774829496441152
absolute error = 7e-31
relative error = 3.7320239518367531456039520448800e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 1.8751744744262013341820331134515
y[1] (numeric) = 1.8751744744262013341820331134523
absolute error = 8e-31
relative error = 4.2662696773578788442539987822890e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 1.8746902294793111958835535440366
y[1] (numeric) = 1.8746902294793111958835535440374
absolute error = 8e-31
relative error = 4.2673716831724101204877082333854e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 1.8742051098422644691239050052961
y[1] (numeric) = 1.8742051098422644691239050052968
absolute error = 7e-31
relative error = 3.7349167192213711718480940501032e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=106.8MB, alloc=4.4MB, time=4.66
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 1.8737191160001807505231791838722
y[1] (numeric) = 1.873719116000180750523179183873
absolute error = 8e-31
relative error = 4.2695833818878689769261907975710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 1.873232248439053841665609190164
y[1] (numeric) = 1.8732322484390538416656091901648
absolute error = 8e-31
relative error = 4.2706930796575395048407397231614e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 1.8727445076457512631058084735755
y[1] (numeric) = 1.8727445076457512631058084735763
absolute error = 8e-31
relative error = 4.2718053462919468607950533130625e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 1.8722558941080137675012908401947
y[1] (numeric) = 1.8722558941080137675012908401955
absolute error = 8e-31
relative error = 4.2729201842419013865140607979075e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 1.8717664083144548518717584403411
y[1] (numeric) = 1.8717664083144548518717584403419
absolute error = 8e-31
relative error = 4.2740375959648102312062430435952e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 1.8712760507545602689856454666536
y[1] (numeric) = 1.8712760507545602689856454666543
absolute error = 7e-31
relative error = 3.7407628859341030686402702465198e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 1.8707848219186875378744061761341
y[1] (numeric) = 1.8707848219186875378744061761348
absolute error = 7e-31
relative error = 3.7417451317681529219240816602608e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 1.8702927222980654534750367218189
y[1] (numeric) = 1.8702927222980654534750367218196
absolute error = 7e-31
relative error = 3.7427296361389688355798344736670e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 1.8697997523847935954013211515137
y[1] (numeric) = 1.8697997523847935954013211515145
absolute error = 8e-31
relative error = 4.2785330299656858080256046739031e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 1.8693059126718418358442928023069
y[1] (numeric) = 1.8693059126718418358442928023077
absolute error = 8e-31
relative error = 4.2796633476461947442457179965011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 1.8688112036530498466024031903571
y[1] (numeric) = 1.8688112036530498466024031903579
absolute error = 8e-31
relative error = 4.2807962539833012029519939378126e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 1.8683156258231266052418913657465
y[1] (numeric) = 1.8683156258231266052418913657473
absolute error = 8e-31
relative error = 4.2819317514809244575717984532610e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 1.8678191796776499003878475719885
y[1] (numeric) = 1.8678191796776499003878475719893
absolute error = 8e-31
relative error = 4.2830698426496766086447025780276e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 1.8673218657130658361464659190853
y[1] (numeric) = 1.8673218657130658361464659190861
absolute error = 8e-31
relative error = 4.2842105300068747581409346010130e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 1.8668236844266883356589816478407
y[1] (numeric) = 1.8668236844266883356589816478415
absolute error = 8e-31
relative error = 4.2853538160765532223172875461184e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=110.6MB, alloc=4.4MB, time=4.83
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 1.866324636316698643787789431451
y[1] (numeric) = 1.8663246363166986437877894314517
absolute error = 7e-31
relative error = 3.7506872404657913103132382566832e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 1.865824721882144828935240028212
y[1] (numeric) = 1.8658247218821448289352400282127
absolute error = 7e-31
relative error = 3.7516921701727544815423613826791e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 1.8653239416229412839956134665064
y[1] (numeric) = 1.8653239416229412839956134665071
absolute error = 7e-31
relative error = 3.7526993804141007535137281371678e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 1.864822296039868226440767810055
y[1] (numeric) = 1.8648222960398682264407678100557
absolute error = 7e-31
relative error = 3.7537088734219779430617088408497e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 1.8643197856345711975399634177419
y[1] (numeric) = 1.8643197856345711975399634177426
absolute error = 7e-31
relative error = 3.7547206514344653697869755470221e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 1.8638164109095605607143634781479
y[1] (numeric) = 1.8638164109095605607143634781487
absolute error = 8e-31
relative error = 4.2922682476520968532137242135775e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 1.8633121723682109990267124642498
y[1] (numeric) = 1.8633121723682109990267124642505
absolute error = 7e-31
relative error = 3.7567510714553111044050902253751e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 1.8628070705147610118066950185642
y[1] (numeric) = 1.8628070705147610118066950185649
absolute error = 7e-31
relative error = 3.7577697179695837518167772942091e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 1.8623011058543124104124786433371
y[1] (numeric) = 1.8623011058543124104124786433378
absolute error = 7e-31
relative error = 3.7587906585003172686732020690225e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 1.861794278892829813128944434192
y[1] (numeric) = 1.8617942788928298131289444341927
absolute error = 7e-31
relative error = 3.7598138953154125347708967312467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 1.8612865901371401392031109589661
y[1] (numeric) = 1.8612865901371401392031109589668
absolute error = 7e-31
relative error = 3.7608394306887677931181967070575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 1.8607780400949321020172572462665
y[1] (numeric) = 1.8607780400949321020172572462672
absolute error = 7e-31
relative error = 3.7618672669002897480686310119825e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 1.8602686292747557014002517105828
y[1] (numeric) = 1.8602686292747557014002517105835
absolute error = 7e-31
relative error = 3.7628974062359046983920654556340e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 1.8597583581860217150775947025839
y[1] (numeric) = 1.8597583581860217150775947025846
absolute error = 7e-31
relative error = 3.7639298509875697053797226824396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=5.00
x[1] = 0.537
y[1] (analytic) = 1.8592472273390011892606832345142
y[1] (numeric) = 1.8592472273390011892606832345149
absolute error = 7e-31
relative error = 3.7649646034532837960795625468021e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 1.8587352372448249283758072913827
y[1] (numeric) = 1.8587352372448249283758072913833
absolute error = 6e-31
relative error = 3.2280014279460850300790289862101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 1.8582223884154829839333879989048
y[1] (numeric) = 1.8582223884154829839333879989054
absolute error = 6e-31
relative error = 3.2288923206421136843067745824489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 1.8577086813638241425379687789178
y[1] (numeric) = 1.8577086813638241425379687789184
absolute error = 6e-31
relative error = 3.2297851973190656420276299735820e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 1.8571941166035554130394714822349
y[1] (numeric) = 1.8571941166035554130394714822355
absolute error = 6e-31
relative error = 3.2306800599674662990413821560507e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 1.8566786946492415128262303476392
y[1] (numeric) = 1.8566786946492415128262303476397
absolute error = 5e-31
relative error = 2.6929807588192236228312519710004e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 1.8561624160163043532603174939409
y[1] (numeric) = 1.8561624160163043532603174939415
absolute error = 6e-31
relative error = 3.2324757511668615605928556525872e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 1.8556452812210225242556745097304
y[1] (numeric) = 1.855645281221022524255674509731
absolute error = 6e-31
relative error = 3.2333765837250826094687721444587e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 1.8551272907805307779995655626503
y[1] (numeric) = 1.8551272907805307779995655626509
absolute error = 6e-31
relative error = 3.2342794102692249088926861639668e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 1.8546084452128195118178683066931
y[1] (numeric) = 1.8546084452128195118178683066937
absolute error = 6e-31
relative error = 3.2351842328160484953098678227697e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 1.8540887450367342501847197221881
y[1] (numeric) = 1.8540887450367342501847197221887
absolute error = 6e-31
relative error = 3.2360910533875899352510912761427e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 1.8535681907719751258770348787904
y[1] (numeric) = 1.853568190771975125877034878791
absolute error = 6e-31
relative error = 3.2369998740111722648824045946068e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 1.8530467829390963602744174669085
y[1] (numeric) = 1.8530467829390963602744174669091
absolute error = 6e-31
relative error = 3.2379106967194149606834881396011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 1.8525245220595057428049817976178
y[1] (numeric) = 1.8525245220595057428049817976184
absolute error = 6e-31
relative error = 3.2388235235502439413414114460155e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 1.8520014086554641095376068251937
y[1] (numeric) = 1.8520014086554641095376068251943
absolute error = 6e-31
relative error = 3.2397383565469016009469229156781e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=118.2MB, alloc=4.4MB, time=5.17
x[1] = 0.552
y[1] (analytic) = 1.8514774432500848209211435999679
y[1] (numeric) = 1.8514774432500848209211435999685
absolute error = 6e-31
relative error = 3.2406551977579568735807321183688e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 1.8509526263673332386710984122557
y[1] (numeric) = 1.8509526263673332386710984122563
absolute error = 6e-31
relative error = 3.2415740492373153293775711858658e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 1.8504269585320262018043147406284
y[1] (numeric) = 1.850426958532026201804314740629
absolute error = 6e-31
relative error = 3.2424949130442293021561496751751e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 1.849900440269831501822177969805
y[1] (numeric) = 1.8499004402698315018221779698056
absolute error = 6e-31
relative error = 3.2434177912433080487034463747569e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 1.8493730721072673570428676949146
y[1] (numeric) = 1.8493730721072673570428676949152
absolute error = 6e-31
relative error = 3.2443426859045279398021118375552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 1.8488448545717018860831832798337
y[1] (numeric) = 1.8488448545717018860831832798343
absolute error = 6e-31
relative error = 3.2452695991032426830900869522953e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 1.8483157881913525804904691877283
y[1] (numeric) = 1.8483157881913525804904691877289
absolute error = 6e-31
relative error = 3.2461985329201935778418756152151e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 1.8477858734952857765251674518325
y[1] (numeric) = 1.8477858734952857765251674518331
absolute error = 6e-31
relative error = 3.2471294894415198017612435435181e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 1.8472551110134161260945255038663
y[1] (numeric) = 1.8472551110134161260945255038669
absolute error = 6e-31
relative error = 3.2480624707587687298754504848017e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 1.846723501276506066837988426341
y[1] (numeric) = 1.8467235012765060668379884263416
absolute error = 6e-31
relative error = 3.2489974789689062856214595289612e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 1.8461910448161652913648055433158
y[1] (numeric) = 1.8461910448161652913648055433163
absolute error = 5e-31
relative error = 2.7082787634786061035124207717102e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 1.8456577421648502156443821119545
y[1] (numeric) = 1.845657742164850215644382111955
absolute error = 5e-31
relative error = 2.7090613204023883736607823006837e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 1.8451235938558634465499077244872
y[1] (numeric) = 1.8451235938558634465499077244878
absolute error = 6e-31
relative error = 3.2518146860078064566224170375656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 1.8445886004233532485557938769029
y[1] (numeric) = 1.8445886004233532485557938769035
absolute error = 6e-31
relative error = 3.2527578228678928238652271932629e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 1.8440527624023130095894540068917
y[1] (numeric) = 1.8440527624023130095894540068923
absolute error = 6e-31
relative error = 3.2537029971873402149929017879543e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=122.0MB, alloc=4.4MB, time=5.34
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 1.8435160803285807060379601492125
y[1] (numeric) = 1.8435160803285807060379601492131
absolute error = 6e-31
relative error = 3.2546502110958450309430071249601e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 1.842978554738838366910111201784
y[1] (numeric) = 1.8429785547388383669101112017846
absolute error = 6e-31
relative error = 3.2555994667285955877101408350462e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 1.8424401861706115371544486403868
y[1] (numeric) = 1.8424401861706115371544486403875
absolute error = 7e-31
relative error = 3.7993092272639965163088388612850e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 1.841900975162268740133756363916
y[1] (numeric) = 1.8419009751622687401337563639167
absolute error = 7e-31
relative error = 3.8004214636909622120752616769353e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 1.841360922253020939256582195639
y[1] (numeric) = 1.8413609222530209392565821956397
absolute error = 7e-31
relative error = 3.8015360896412744486282576214954e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 1.8408200279829209987663194088936
y[1] (numeric) = 1.8408200279829209987663194088943
absolute error = 7e-31
relative error = 3.8026531076317393897435919306682e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 1.8402782928928631436883874880982
y[1] (numeric) = 1.8402782928928631436883874880989
absolute error = 7e-31
relative error = 3.8037725201856327226358194814571e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 1.8397357175245824189360521778498
y[1] (numeric) = 1.8397357175245824189360521778505
absolute error = 7e-31
relative error = 3.8048943298327122322538931594694e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 1.8391923024206541475754257142438
y[1] (numeric) = 1.8391923024206541475754257142445
absolute error = 7e-31
relative error = 3.8060185391092304146533664666271e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 1.8386480481244933882501889733704
y[1] (numeric) = 1.8386480481244933882501889733711
absolute error = 7e-31
relative error = 3.8071451505579471295567738447497e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 1.8381029551803543917665781122205
y[1] (numeric) = 1.8381029551803543917665781122212
absolute error = 7e-31
relative error = 3.8082741667281422922141887382896e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 1.837557024133330056839179116969
y[1] (numeric) = 1.8375570241333300568391791169697
absolute error = 7e-31
relative error = 3.8094055901756286046763775255570e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 1.8370102555293513849980745127954
y[1] (numeric) = 1.8370102555293513849980745127961
absolute error = 7e-31
relative error = 3.8105394234627643265933871189476e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 1.83646264991518693465788732805
y[1] (numeric) = 1.8364626499151869346578873280507
absolute error = 7e-31
relative error = 3.8116756691584660856518252779088e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 1.8359142078384422743492682436758
y[1] (numeric) = 1.8359142078384422743492682436765
absolute error = 7e-31
relative error = 3.8128143298382217277645155005941e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=125.8MB, alloc=4.4MB, time=5.51
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 1.8353649298475594351133726963536
y[1] (numeric) = 1.8353649298475594351133726963543
absolute error = 7e-31
relative error = 3.8139554080841032071266327683540e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 1.834814816491816362059875540848
y[1] (numeric) = 1.8348148164918163620598755408487
absolute error = 7e-31
relative error = 3.8150989064847795162528524183936e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 1.8342638683213263650890717134926
y[1] (numeric) = 1.8342638683213263650890717134933
absolute error = 7e-31
relative error = 3.8162448276355296561104720211648e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 1.8337120858870375687786121746697
y[1] (numeric) = 1.8337120858870375687786121746704
absolute error = 7e-31
relative error = 3.8173931741382556464638953474058e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 1.8331594697407323614354252435016
y[1] (numeric) = 1.8331594697407323614354252435022
absolute error = 6e-31
relative error = 3.2730376702298533513253985705699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 1.8326060204350268433133742727858
y[1] (numeric) = 1.8326060204350268433133742727865
absolute error = 7e-31
relative error = 3.8196971536404366961747293884463e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 1.8320517385233702739972034464729
y[1] (numeric) = 1.8320517385233702739972034464735
absolute error = 6e-31
relative error = 3.2750166787516530406502832779749e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 1.8314966245600445189533243156914
y[1] (numeric) = 1.831496624560044518953324315692
absolute error = 6e-31
relative error = 3.2760093136624252602735438584424e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 1.8309406791001634952479965224907
y[1] (numeric) = 1.8309406791001634952479965224913
absolute error = 6e-31
relative error = 3.2770040386828741279737127545221e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 1.8303839026996726164334569930729
y[1] (numeric) = 1.8303839026996726164334569930735
absolute error = 6e-31
relative error = 3.2780008560774987434068596616723e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 1.8298262959153482366025527143388
y[1] (numeric) = 1.8298262959153482366025527143394
absolute error = 6e-31
relative error = 3.2789997681165541150092243798654e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 1.8292678593047970936124330390686
y[1] (numeric) = 1.8292678593047970936124330390692
absolute error = 6e-31
relative error = 3.2800007770760625910612986057535e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 1.8287085934264557514778582959995
y[1] (numeric) = 1.8287085934264557514778582960002
absolute error = 7e-31
relative error = 3.8278378661107962138133392975029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 1.8281484988395900419346823114442
y[1] (numeric) = 1.8281484988395900419346823114449
absolute error = 7e-31
relative error = 3.8290106107043394134552411752832e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 1.827587576104294505174067278921
y[1] (numeric) = 1.8275875761042945051740672789217
absolute error = 7e-31
relative error = 3.8301858097116614816883544252007e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=129.7MB, alloc=4.4MB, time=5.68
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 1.8270258257814918297479902425356
y[1] (numeric) = 1.8270258257814918297479902425363
absolute error = 7e-31
relative error = 3.8313634658151702670489078193629e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 1.8264632484329322916466012885597
y[1] (numeric) = 1.8264632484329322916466012885603
absolute error = 6e-31
relative error = 3.2850373557463452718934990250457e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 1.8258998446211931925479943678021
y[1] (numeric) = 1.8258998446211931925479943678027
absolute error = 6e-31
relative error = 3.2860509943494619696919949560774e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 1.8253356149096782972409524989554
y[1] (numeric) = 1.825335614909678297240952498956
absolute error = 6e-31
relative error = 3.2870667459676413893772838078918e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 1.8247705598626172702212299301249
y[1] (numeric) = 1.8247705598626172702212299301256
absolute error = 7e-31
relative error = 3.8360987150773704466046194117068e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 1.8242046800450651114619346622117
y[1] (numeric) = 1.8242046800450651114619346622124
absolute error = 7e-31
relative error = 3.8372886971362622297142293826219e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 1.8236379760229015913585755637194
y[1] (numeric) = 1.8236379760229015913585755637201
absolute error = 7e-31
relative error = 3.8384811525289779736453498749168e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 1.8230704483628306848493391318916
y[1] (numeric) = 1.8230704483628306848493391318923
absolute error = 7e-31
relative error = 3.8396760839857833606042906056029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 1.822502097632380004711161779855
y[1] (numeric) = 1.8225020976323800047111617798556
absolute error = 6e-31
relative error = 3.2921772807804307923768009786806e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 1.8219329243999002340321643536487
y[1] (numeric) = 1.8219329243999002340321643536493
absolute error = 6e-31
relative error = 3.2932057594690276567351083719884e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 1.8213629292345645578610164066595
y[1] (numeric) = 1.8213629292345645578610164066601
absolute error = 6e-31
relative error = 3.2942363675544474107142159309026e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 1.8207921127063680940337985820488
y[1] (numeric) = 1.8207921127063680940337985820494
absolute error = 6e-31
relative error = 3.2952691074006185288641937899859e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 1.8202204753861273231789322762638
y[1] (numeric) = 1.8202204753861273231789322762645
absolute error = 7e-31
relative error = 3.8456879782736620382032517308262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 1.8196480178454795179007465786548
y[1] (numeric) = 1.8196480178454795179007465786555
absolute error = 7e-31
relative error = 3.8468978238375024605038421999119e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 1.8190747406568821711422533035835
y[1] (numeric) = 1.8190747406568821711422533035842
absolute error = 7e-31
relative error = 3.8481101647710445587137459502310e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=133.5MB, alloc=4.4MB, time=5.85
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 1.8185006443936124237277017522008
y[1] (numeric) = 1.8185006443936124237277017522015
absolute error = 7e-31
relative error = 3.8493250038600799393035513448065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 1.8179257296297664910854856612912
y[1] (numeric) = 1.8179257296297664910854856612919
absolute error = 7e-31
relative error = 3.8505423438974043253158942751504e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 1.8173499969402590891519756162284
y[1] (numeric) = 1.8173499969402590891519756162291
absolute error = 7e-31
relative error = 3.8517621876828317850225035204700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 1.8167734469008228594568510241632
y[1] (numeric) = 1.8167734469008228594568510241639
absolute error = 7e-31
relative error = 3.8529845380232090044621329873648e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 1.8161960800880077933905065620621
y[1] (numeric) = 1.8161960800880077933905065620628
absolute error = 7e-31
relative error = 3.8542093977324296039889126974931e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 1.8156178970791806556541088321442
y[1] (numeric) = 1.8156178970791806556541088321449
absolute error = 7e-31
relative error = 3.8554367696314484989611349686228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 1.8150388984525244068928797746095
y[1] (numeric) = 1.8150388984525244068928797746102
absolute error = 7e-31
relative error = 3.8566666565482963047009786725576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 1.8144590847870376255131842043293
y[1] (numeric) = 1.8144590847870376255131842043299
absolute error = 6e-31
relative error = 3.3067706239869375307338537942020e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 1.8138784566625339286839996543607
y[1] (numeric) = 1.8138784566625339286839996543613
absolute error = 6e-31
relative error = 3.3078291315283425859671517927439e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 1.8132970146596413925233475247695
y[1] (numeric) = 1.8132970146596413925233475247701
absolute error = 6e-31
relative error = 3.3088898021079073608573405871217e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 1.8127147593598019714702653502798
y[1] (numeric) = 1.8127147593598019714702653502804
absolute error = 6e-31
relative error = 3.3099526381740418737947583820448e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 1.8121316913452709168429008147311
y[1] (numeric) = 1.8121316913452709168429008147317
absolute error = 6e-31
relative error = 3.3110176421812833375370005577643e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 1.8115478111991161945833089542001
y[1] (numeric) = 1.8115478111991161945833089542007
absolute error = 6e-31
relative error = 3.3120848165903087363689684790450e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 1.8109631195052179021895348039411
y[1] (numeric) = 1.8109631195052179021895348039417
absolute error = 6e-31
relative error = 3.3131541638679474420042638998818e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 1.810377616848267684835564557014
y[1] (numeric) = 1.8103776168482676848355645570146
absolute error = 6e-31
relative error = 3.3142256864871938683431824115458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=137.3MB, alloc=4.4MB, time=6.01
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 1.8097913038137681506797291146007
y[1] (numeric) = 1.8097913038137681506797291146012
absolute error = 5e-31
relative error = 2.7627494891060168043358258348162e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 1.8092041809880322853621447195559
y[1] (numeric) = 1.8092041809880322853621447195564
absolute error = 5e-31
relative error = 2.7636460563944907926138400668064e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 1.8086162489581828656917761757053
y[1] (numeric) = 1.8086162489581828656917761757058
absolute error = 5e-31
relative error = 2.7645444426810550712135327386026e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 1.8080275083121518725237089657771
y[1] (numeric) = 1.8080275083121518725237089657775
absolute error = 4e-31
relative error = 2.2123557200377556530526393606999e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 1.8074379596386799028272173906462
y[1] (numeric) = 1.8074379596386799028272173906466
absolute error = 4e-31
relative error = 2.2130773444636679652077774223813e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 1.8068476035273155809452166617754
y[1] (numeric) = 1.8068476035273155809452166617758
absolute error = 4e-31
relative error = 2.2138004290960827317955211118755e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 1.8062564405684149690456876873498
y[1] (numeric) = 1.8062564405684149690456876873503
absolute error = 5e-31
relative error = 2.7681562195158393833437495209789e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 1.8056644713531409767656641006336
y[1] (numeric) = 1.805664471353140976765664100634
absolute error = 4e-31
relative error = 2.2152509856952843057465614319168e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 1.8050716964734627700483718865097
y[1] (numeric) = 1.8050716964734627700483718865101
absolute error = 4e-31
relative error = 2.2159784610299582801021482756071e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 1.8044781165221551791741127690167
y[1] (numeric) = 1.8044781165221551791741127690171
absolute error = 4e-31
relative error = 2.2167074033069264158644357764519e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 1.8038837320927981059854833289476
y[1] (numeric) = 1.8038837320927981059854833289481
absolute error = 5e-31
relative error = 2.7717972677757828259935046580046e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 1.8032885437797759303075226262437
y[1] (numeric) = 1.8032885437797759303075226262442
absolute error = 5e-31
relative error = 2.7727121193371358471881236803634e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 1.8026925521782769155633819069852
y[1] (numeric) = 1.8026925521782769155633819069856
absolute error = 4e-31
relative error = 2.2189030487570466250716552093166e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 1.8020957578842926135861107792603
y[1] (numeric) = 1.8020957578842926135861107792608
absolute error = 5e-31
relative error = 2.7745473447371799549739216399733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 1.801498161494617268627155046077
y[1] (numeric) = 1.8014981614946172686271550460775
absolute error = 5e-31
relative error = 2.7754677228489303663306000443232e-29 %
memory used=141.1MB, alloc=4.4MB, time=6.18
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 1.8008997636068472205621621867689
y[1] (numeric) = 1.8008997636068472205621621867694
absolute error = 5e-31
relative error = 2.7763899474260497624418722864323e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 1.8003005648193803072946912810412
y[1] (numeric) = 1.8003005648193803072946912810416
absolute error = 4e-31
relative error = 2.2218512164946802002254470728482e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 1.7997005657314152663584249718963
y[1] (numeric) = 1.7997005657314152663584249718967
absolute error = 4e-31
relative error = 2.2225919556647815536699301607679e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 1.7990997669429511357184818651779
y[1] (numeric) = 1.7990997669429511357184818651783
absolute error = 4e-31
relative error = 2.2233341771795353079640391638231e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 1.7984981690547866537724285643704
y[1] (numeric) = 1.7984981690547866537724285643708
absolute error = 4e-31
relative error = 2.2240778827716172198525465627482e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 1.7978957726685196585515913395922
y[1] (numeric) = 1.7978957726685196585515913395926
absolute error = 4e-31
relative error = 2.2248230741779963639142614880287e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 1.7972925783865464861232682294208
y[1] (numeric) = 1.7972925783865464861232682294212
absolute error = 4e-31
relative error = 2.2255697531399441589979820615389e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 1.796688586812061368194443173288
y[1] (numeric) = 1.7966885868120613681944431732883
absolute error = 3e-31
relative error = 1.6697384410522825668088408606585e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 1.7960837985490558289176045706799
y[1] (numeric) = 1.7960837985490558289176045706802
absolute error = 3e-31
relative error = 1.6703006855378980889622980697507e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 1.7954782142023180808992714612743
y[1] (numeric) = 1.7954782142023180808992714612746
absolute error = 3e-31
relative error = 1.6708640496274793518802246557299e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 1.7948718343774324204118313174373
y[1] (numeric) = 1.7948718343774324204118313174376
absolute error = 3e-31
relative error = 1.6714285346399550680260111065739e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 1.7942646596807786218092942371924
y[1] (numeric) = 1.7942646596807786218092942371927
absolute error = 3e-31
relative error = 1.6719941418975148706898742296120e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 1.7936566907195313311475691218565
y[1] (numeric) = 1.7936566907195313311475691218568
absolute error = 3e-31
relative error = 1.6725608727256162096562622759382e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 1.7930479281016594590098682180164
y[1] (numeric) = 1.7930479281016594590098682180167
absolute error = 3e-31
relative error = 1.6731287284529912680681005207880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=6.35
x[1] = 0.656
y[1] (analytic) = 1.792438372435925572537847198391
y[1] (numeric) = 1.7924383724359255725378471983913
absolute error = 3e-31
relative error = 1.6736977104116539005523565043593e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 1.7918280243318852866690887503875
y[1] (numeric) = 1.7918280243318852866690887503878
absolute error = 3e-31
relative error = 1.6742678199369065926716466457499e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 1.7912168843998866545815384348186
y[1] (numeric) = 1.7912168843998866545815384348189
absolute error = 3e-31
relative error = 1.6748390583673474417668494040839e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 1.7906049532510695573455023702928
y[1] (numeric) = 1.7906049532510695573455023702932
absolute error = 4e-31
relative error = 2.2338819027265028790079127730761e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 1.7899922314973650927838170912302
y[1] (numeric) = 1.7899922314973650927838170912306
absolute error = 4e-31
relative error = 2.2346465697529414592726183064685e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 1.7893787197514949635408027192822
y[1] (numeric) = 1.7893787197514949635408027192826
absolute error = 4e-31
relative error = 2.2354127473671483733112840229820e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 1.7887644186269708643606113791516
y[1] (numeric) = 1.788764418626970864360611379152
absolute error = 4e-31
relative error = 2.2361804373715913317741561774012e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 1.7881493287380938685755835804134
y[1] (numeric) = 1.7881493287380938685755835804139
absolute error = 5e-31
relative error = 2.7961870519664739552183020350050e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 1.7875334506999538138052260769289
y[1] (numeric) = 1.7875334506999538138052260769294
absolute error = 5e-31
relative error = 2.7971504522290891245560950104300e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 1.7869167851284286868664255048233
y[1] (numeric) = 1.7869167851284286868664255048237
absolute error = 4e-31
relative error = 2.2384925998176872768281727806579e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 1.786299332640184007895512888763
y[1] (numeric) = 1.7862993326401840078955128887635
absolute error = 5e-31
relative error = 2.7990829468708953537470209640771e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 1.7856810938526722136827948944167
y[1] (numeric) = 1.7856810938526722136827948944171
absolute error = 4e-31
relative error = 2.2400416366451267224904021028835e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 1.7850620693841320402201684925159
y[1] (numeric) = 1.7850620693841320402201684925164
absolute error = 5e-31
relative error = 2.8010230488652197681848151036074e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 1.7844422598535879044624364868518
y[1] (numeric) = 1.7844422598535879044624364868523
absolute error = 5e-31
relative error = 2.8019959583395240258142469821996e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 1.7838216658808492853029421448381
y[1] (numeric) = 1.7838216658808492853029421448386
absolute error = 5e-31
relative error = 2.8029707765271508768064134864728e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.4MB, time=6.53
x[1] = 0.671
y[1] (analytic) = 1.7832002880865101037641419549564
y[1] (numeric) = 1.7832002880865101037641419549569
absolute error = 5e-31
relative error = 2.8039475057315772541698659891448e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 1.7825781270919481024037363204577
y[1] (numeric) = 1.7825781270919481024037363204582
absolute error = 5e-31
relative error = 2.8049261482619394685777458239678e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 1.7819551835193242239369787831393
y[1] (numeric) = 1.7819551835193242239369787831398
absolute error = 5e-31
relative error = 2.8059067064330453911545397992868e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 1.7813314579915819890757851548342
y[1] (numeric) = 1.7813314579915819890757851548347
absolute error = 5e-31
relative error = 2.8068891825653866737034270137138e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 1.780706951132446873585264717454
y[1] (numeric) = 1.7807069511324468735852647174545
absolute error = 5e-31
relative error = 2.8078735789851510064896404725195e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 1.7800816635664256845582964350008
y[1] (numeric) = 1.7800816635664256845582964350013
absolute error = 5e-31
relative error = 2.8088598980242344136957026258421e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 1.7794555959188059359087739029204
y[1] (numeric) = 1.7794555959188059359087739029209
absolute error = 5e-31
relative error = 2.8098481420202535866648313029300e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 1.7788287488156552230841435414996
y[1] (numeric) = 1.7788287488156552230841435415001
absolute error = 5e-31
relative error = 2.8108383133165582550492516082386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 1.778201122883820596997861320718
y[1] (numeric) = 1.7782011228838205969978613207185
absolute error = 5e-31
relative error = 2.8118304142622435959805901831460e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 1.7775727187509279371823940840443
y[1] (numeric) = 1.7775727187509279371823940840448
absolute error = 5e-31
relative error = 2.8128244472121626813799708292644e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 1.7769435370453813241633923181245
y[1] (numeric) = 1.7769435370453813241633923181249
absolute error = 4e-31
relative error = 2.2510563316215511708206998749910e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 1.776313578396362411055661994136
y[1] (numeric) = 1.7763135783963624110556619941365
absolute error = 5e-31
relative error = 2.8148183185729787989982755415468e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 1.7756828434338297943815638847851
y[1] (numeric) = 1.7756828434338297943815638847855
absolute error = 4e-31
relative error = 2.2526545293779872088944034741245e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 1.7750513327885183841124695384931
y[1] (numeric) = 1.7750513327885183841124695384936
absolute error = 5e-31
relative error = 2.8168199463534644910007554910362e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 1.7744190470919387729339038692666
y[1] (numeric) = 1.774419047091938772933903869267
absolute error = 4e-31
relative error = 2.2542589398798006698764703648519e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=152.5MB, alloc=4.4MB, time=6.69
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 1.7737859869763766047350050970526
y[1] (numeric) = 1.773785986976376604735005097053
absolute error = 4e-31
relative error = 2.2550634796808056280625890823481e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 1.7731521530748919423229335490696
y[1] (numeric) = 1.77315215307489194232293354907
absolute error = 4e-31
relative error = 2.2558695784021945383759982524002e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 1.7725175460213186343628616076503
y[1] (numeric) = 1.7725175460213186343628616076507
absolute error = 4e-31
relative error = 2.2566772379650625602827349365908e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 1.7718821664502636815441778645549
y[1] (numeric) = 1.7718821664502636815441778645553
absolute error = 4e-31
relative error = 2.2574864602952021784451708056014e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 1.7712460149971066019735393154978
y[1] (numeric) = 1.7712460149971066019735393154981
absolute error = 3e-31
relative error = 1.6937229354923351032063858840259e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 1.7706090922979987957954062017814
y[1] (numeric) = 1.7706090922979987957954062017817
absolute error = 3e-31
relative error = 1.6943322007380108067934242419069e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 1.7699713989898629090406948784514
y[1] (numeric) = 1.7699713989898629090406948784517
absolute error = 3e-31
relative error = 1.6949426424133883915583821775238e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 1.7693329357103921967041848602655
y[1] (numeric) = 1.7693329357103921967041848602658
absolute error = 3e-31
relative error = 1.6955542619769814453846862962052e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 1.7686937030980498850513169680168
y[1] (numeric) = 1.7686937030980498850513169680171
absolute error = 3e-31
relative error = 1.6961670608908652933966037360948e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 1.7680537017920685331550202683599
y[1] (numeric) = 1.7680537017920685331550202683602
absolute error = 3e-31
relative error = 1.6967810406206848182550340501702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 1.7674129324324493936632062702603
y[1] (numeric) = 1.7674129324324493936632062702606
absolute error = 3e-31
relative error = 1.6973962026356623045032574377251e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 1.7667713956599617727975696105186
y[1] (numeric) = 1.7667713956599617727975696105189
absolute error = 3e-31
relative error = 1.6980125484086053070378909177600e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 1.7661290921161423895843352295162
y[1] (numeric) = 1.7661290921161423895843352295165
absolute error = 3e-31
relative error = 1.6986300794159145437805893766155e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 1.765486022443294734317592806382
y[1] (numeric) = 1.7654860224432947343175928063823
absolute error = 3e-31
relative error = 1.6992487971375918126263149093327e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 1.7648421872844884262558599901919
y[1] (numeric) = 1.7648421872844884262558599901922
absolute error = 3e-31
relative error = 1.6998687030572479327442855138583e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=156.4MB, alloc=4.4MB, time=6.86
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 1.7641975872835585705525167305838
y[1] (numeric) = 1.7641975872835585705525167305842
absolute error = 4e-31
relative error = 2.2673197315494809470773373261283e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 1.7635522230851051144207537773021
y[1] (numeric) = 1.7635522230851051144207537773024
absolute error = 3e-31
relative error = 1.7011120854430329287310498922096e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 1.7629060953344922025336791836665
y[1] (numeric) = 1.7629060953344922025336791836668
absolute error = 3e-31
relative error = 1.7017355648945003634856363853225e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 1.7622592046778475316602274138083
y[1] (numeric) = 1.7622592046778475316602274138086
absolute error = 3e-31
relative error = 1.7023602385146398215811704121719e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 1.7616115517620617045375164177085
y[1] (numeric) = 1.7616115517620617045375164177088
absolute error = 3e-31
relative error = 1.7029861078052272057804177416983e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 1.7609631372347875829802988016283
y[1] (numeric) = 1.7609631372347875829802988016286
absolute error = 3e-31
relative error = 1.7036131742716956036311133894035e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 1.7603139617444396402281539844266
y[1] (numeric) = 1.7603139617444396402281539844269
absolute error = 3e-31
relative error = 1.7042414394231434013911816289746e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 1.7596640259401933125310689925183
y[1] (numeric) = 1.7596640259401933125310689925186
absolute error = 3e-31
relative error = 1.7048709047723424229260189016025e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 1.7590133304719843499740563078382
y[1] (numeric) = 1.7590133304719843499740563078385
absolute error = 3e-31
relative error = 1.7055015718357460936565921765821e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 1.7583618759905081665414579441396
y[1] (numeric) = 1.7583618759905081665414579441398
absolute error = 2e-31
relative error = 1.1374222947556650864249365164370e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 1.7577096631472191894215856872678
y[1] (numeric) = 1.757709663147219189421585687268
absolute error = 2e-31
relative error = 1.1378443447929588345624548901180e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 1.7570566925943302075523481947161
y[1] (numeric) = 1.7570566925943302075523481947163
absolute error = 2e-31
relative error = 1.1382671990207436171649556633843e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 1.7564029649848117194085164087805
y[1] (numeric) = 1.7564029649848117194085164087807
absolute error = 2e-31
relative error = 1.1386908584598607508415619715692e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 1.7557484809723912800312794959955
y[1] (numeric) = 1.7557484809723912800312794959957
absolute error = 2e-31
relative error = 1.1391153241336334187585059767006e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 1.7550932412115528473007442832391
y[1] (numeric) = 1.7550932412115528473007442832393
absolute error = 2e-31
relative error = 1.1395405970678722145882285126324e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=160.2MB, alloc=4.4MB, time=7.03
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 1.7544372463575361274520319179542
y[1] (numeric) = 1.7544372463575361274520319179544
absolute error = 2e-31
relative error = 1.1399666782908807035321696595173e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 1.7537804970663359198356262363344
y[1] (numeric) = 1.7537804970663359198356262363346
absolute error = 2e-31
relative error = 1.1403935688334610004713718861242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 1.7531229939947014609226290790717
y[1] (numeric) = 1.7531229939947014609226290790719
absolute error = 2e-31
relative error = 1.1408212697289193652992236042387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 1.7524647378001357675555785493558
y[1] (numeric) = 1.7524647378001357675555785493559
absolute error = 1e-31
relative error = 5.7062489100653590774543901151909e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 1.751805729140894979445486962252
y[1] (numeric) = 1.7518057291408949794454869622521
absolute error = 1e-31
relative error = 5.7083955336212487798204503837466e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 1.7511459686759877009157559883658
y[1] (numeric) = 1.751145968675987700915755988366
absolute error = 2e-31
relative error = 1.1421092449033056262864229299367e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 1.750485457065174341893627247823
y[1] (numeric) = 1.7504854570651743418936272478232
absolute error = 2e-31
relative error = 1.1425401975936185652839851453273e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 1.7498241949689664581498273630602
y[1] (numeric) = 1.7498241949689664581498273630604
absolute error = 2e-31
relative error = 1.1429719658411000931070700330395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 1.7491621830486260907870672307261
y[1] (numeric) = 1.7491621830486260907870672307262
absolute error = 1e-31
relative error = 5.7170227534709990540413999569277e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 1.7484994219661651049780560241387
y[1] (numeric) = 1.7484994219661651049780560241388
absolute error = 1e-31
relative error = 5.7191897660195555874446540099683e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 1.7478359123843445279536911882302
y[1] (numeric) = 1.7478359123843445279536911882303
absolute error = 1e-31
relative error = 5.7213608721188847253487192990251e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 1.7471716549666738862420864387327
y[1] (numeric) = 1.7471716549666738862420864387328
absolute error = 1e-31
relative error = 5.7235360770494775537102410276593e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 1.7465066503774105421591005265237
y[1] (numeric) = 1.7465066503774105421591005265238
absolute error = 1e-31
relative error = 5.7257153861046304357796449420153e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 1.7458408992815590295510302765453
y[1] (numeric) = 1.7458408992815590295510302765454
absolute error = 1e-31
relative error = 5.7278988045904739520098731225252e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 1.7451744023448703887901321585503
y[1] (numeric) = 1.7451744023448703887901321585504
absolute error = 1e-31
relative error = 5.7300863378260019292174571738854e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=164.0MB, alloc=4.4MB, time=7.20
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 1.7445071602338415010236373940972
y[1] (numeric) = 1.7445071602338415010236373940972
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 1.7438391736157144216769263507235
y[1] (numeric) = 1.7438391736157144216769263507236
absolute error = 1e-31
relative error = 5.7344737698865776076661068504712e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 1.7431704431584757132115287200688
y[1] (numeric) = 1.7431704431584757132115287200689
absolute error = 1e-31
relative error = 5.7366736794141917120568291469443e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 1.7425009695308557771386167218896
y[1] (numeric) = 1.7425009695308557771386167218897
absolute error = 1e-31
relative error = 5.7388777250966817713949312475512e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 1.7418307534023281852886593204188
y[1] (numeric) = 1.7418307534023281852886593204189
absolute error = 1e-31
relative error = 5.7410859123177964256042124564393e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 1.7411597954431090103379061833593
y[1] (numeric) = 1.7411597954431090103379061833593
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 1.7404880963241561555923708569716
y[1] (numeric) = 1.7404880963241561555923708569716
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 1.7398156567171686840299833732174
y[1] (numeric) = 1.7398156567171686840299833732174
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 1.7391424772945861466015832467493
y[1] (numeric) = 1.7391424772945861466015832467493
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 1.7384685587295879097914245606988
y[1] (numeric) = 1.7384685587295879097914245606988
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 1.7377939016960924824378655807009
y[1] (numeric) = 1.7377939016960924824378655807008
absolute error = 1e-31
relative error = 5.7544223110922230636117158578451e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 1.7371185068687568418149160764094
y[1] (numeric) = 1.7371185068687568418149160764093
absolute error = 1e-31
relative error = 5.7566596409277229534875743300588e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 1.7364423749229757589753162689006
y[1] (numeric) = 1.7364423749229757589753162689005
absolute error = 1e-31
relative error = 5.7589011558437549594267642241216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 1.7357655065348811233558220608284
y[1] (numeric) = 1.7357655065348811233558220608282
absolute error = 2e-31
relative error = 1.1522293722684994173386064190755e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 1.7350879023813412666453719439904
y[1] (numeric) = 1.7350879023813412666453719439903
absolute error = 1e-31
relative error = 5.7633967629394369313289342884218e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=167.8MB, alloc=4.4MB, time=7.37
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 1.7344095631399602859168117160826
y[1] (numeric) = 1.7344095631399602859168117160825
absolute error = 1e-31
relative error = 5.7656508661634021769258759038608e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 1.733730489489077366022853874859
y[1] (numeric) = 1.7337304894890773660228538748589
absolute error = 1e-31
relative error = 5.7679091765565911856503403502551e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 1.7330506821077661012569492936833
y[1] (numeric) = 1.7330506821077661012569492936831
absolute error = 2e-31
relative error = 1.1540343399349207367661834427079e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 1.7323701416758338162797495175416
y[1] (numeric) = 1.7323701416758338162797495175414
absolute error = 2e-31
relative error = 1.1544876882172943084823812929692e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 1.7316888688738208863118387530001
y[1] (numeric) = 1.7316888688738208863118387529999
absolute error = 2e-31
relative error = 1.1549418812749379305160904296562e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 1.7310068643830000565934153593164
y[1] (numeric) = 1.7310068643830000565934153593163
absolute error = 1e-31
relative error = 5.7769846011352468968753386653670e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 1.7303241288853757611116033809685
y[1] (numeric) = 1.7303241288853757611116033809683
absolute error = 2e-31
relative error = 1.1558528061955314432173535249857e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 1.729640663063683440596075394231
y[1] (numeric) = 1.7296406630636834405960753942308
absolute error = 2e-31
relative error = 1.1563095403049981544515245958001e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 1.7289564676013888597836686721214
y[1] (numeric) = 1.7289564676013888597836686721212
absolute error = 2e-31
relative error = 1.1567671236827810416195853678850e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 1.7282715431826874239526774030409
y[1] (numeric) = 1.7282715431826874239526774030407
absolute error = 2e-31
relative error = 1.1572255574589354006250775978459e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 1.7275858904925034947275044287623
y[1] (numeric) = 1.7275858904925034947275044287621
absolute error = 2e-31
relative error = 1.1576848427662465853692299380939e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 1.7268995102164897051543566970552
y[1] (numeric) = 1.726899510216489705154356697055
absolute error = 2e-31
relative error = 1.1581449807402363178582105938396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 1.7262124030410262740486693531968
y[1] (numeric) = 1.7262124030410262740486693531966
absolute error = 2e-31
relative error = 1.1586059725191690178447892303373e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 1.725524569653220319614944122886
y[1] (numeric) = 1.7255245696532203196149441228859
absolute error = 1e-31
relative error = 5.7953390962202907603397910574207e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 1.724836010740905172339688366667
y[1] (numeric) = 1.7248360107409051723396883666669
absolute error = 1e-31
relative error = 5.7976526102933630157715409470423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=171.6MB, alloc=4.4MB, time=7.54
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 1.7241467269926396871581419128634
y[1] (numeric) = 1.7241467269926396871581419128633
absolute error = 1e-31
relative error = 5.7999704105477152912259951009977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 1.7234567190977075548954795022417
y[1] (numeric) = 1.7234567190977075548954795022416
absolute error = 1e-31
relative error = 5.8022925027298420870700697907464e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 1.7227659877461166129831774031417
y[1] (numeric) = 1.7227659877461166129831774031417
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 1.722074533628598155451233480652
y[1] (numeric) = 1.722074533628598155451233480652
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 1.7213823574366062421969307275509
y[1] (numeric) = 1.7213823574366062421969307275508
absolute error = 1e-31
relative error = 5.8092845885161062365619678876581e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 1.7206894598623170075308349881932
y[1] (numeric) = 1.7206894598623170075308349881931
absolute error = 1e-31
relative error = 5.8116239061522244522288037195189e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 1.7199958415986279680007183292872
y[1] (numeric) = 1.7199958415986279680007183292872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 1.7193015033391573294941002335805
y[1] (numeric) = 1.7193015033391573294941002335804
absolute error = 1e-31
relative error = 5.8163155098616545350511481733817e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 1.7186064457782432936200995138551
y[1] (numeric) = 1.718606445778243293620099513855
absolute error = 1e-31
relative error = 5.8186678076094732677001918187073e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 1.7179106696109433633712905653243
y[1] (numeric) = 1.7179106696109433633712905653242
absolute error = 1e-31
relative error = 5.8210244437591788121453662605431e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 1.7172141755330336480662582945144
y[1] (numeric) = 1.7172141755330336480662582945143
absolute error = 1e-31
relative error = 5.8233854241832936321130146669755e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 1.7165169642410081675735467820204
y[1] (numeric) = 1.7165169642410081675735467820203
absolute error = 1e-31
relative error = 5.8257507547685071907352469220247e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 1.7158190364320781558176974551284
y[1] (numeric) = 1.7158190364320781558176974551283
absolute error = 1e-31
relative error = 5.8281204414157091026641783742145e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 1.7151203928041713635680732642085
y[1] (numeric) = 1.7151203928041713635680732642084
absolute error = 1e-31
relative error = 5.8304944900400223890920756039303e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 1.7144210340559313605111660739955
y[1] (numeric) = 1.7144210340559313605111660739954
absolute error = 1e-31
relative error = 5.8328729065708368360153783645523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=175.4MB, alloc=4.4MB, time=7.70
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 1.7137209608867168366070851973929
y[1] (numeric) = 1.7137209608867168366070851973928
absolute error = 1e-31
relative error = 5.8352556969518424560818758127056e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 1.7130201739966009027309257152522
y[1] (numeric) = 1.7130201739966009027309257152521
absolute error = 1e-31
relative error = 5.8376428671410630543616295817740e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 1.7123186740863703905997159407019
y[1] (numeric) = 1.7123186740863703905997159407018
absolute error = 1e-31
relative error = 5.8400344231108898983835561957097e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 1.71161646185752515198564410102
y[1] (numeric) = 1.7116164618575251519856441010199
absolute error = 1e-31
relative error = 5.8424303708481154927809067929624e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 1.7109135380122773572162650237646
y[1] (numeric) = 1.7109135380122773572162650237645
absolute error = 1e-31
relative error = 5.8448307163539674588902131589589e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 1.710209903253550792962388326898
y[1] (numeric) = 1.7102099032535507929623883268979
absolute error = 1e-31
relative error = 5.8472354656441425196496056760479e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 1.7095055582849801593143503249576
y[1] (numeric) = 1.7095055582849801593143503249575
absolute error = 1e-31
relative error = 5.8496446247488405901437510183742e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 1.7088005038109103661473725749424
y[1] (numeric) = 1.7088005038109103661473725749422
absolute error = 2e-31
relative error = 1.1704116399425597948288010544187e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 1.7080947405363958287767106964985
y[1] (numeric) = 1.7080947405363958287767106964983
absolute error = 2e-31
relative error = 1.1708952393190653333987463350231e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 1.7073882691671997629032978111966
y[1] (numeric) = 1.7073882691671997629032978111964
absolute error = 2e-31
relative error = 1.1713797242940677530380182743573e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 1.706681090409793478850587655198
y[1] (numeric) = 1.7066810904097934788505876551977
absolute error = 3e-31
relative error = 1.7577976441279172949044941479919e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 1.7059732049713556750933031284076
y[1] (numeric) = 1.7059732049713556750933031284074
absolute error = 2e-31
relative error = 1.1723513559133428553138315062132e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 1.7052646135597717310787967513083
y[1] (numeric) = 1.7052646135597717310787967513081
absolute error = 2e-31
relative error = 1.1728385050018499151129962789016e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 1.7045553168836329993417302080539
y[1] (numeric) = 1.7045553168836329993417302080536
absolute error = 3e-31
relative error = 1.7599898168660047869703688294095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.79
memory used=179.2MB, alloc=4.4MB, time=7.87
y[1] (analytic) = 1.703845315652236096912780861085
y[1] (numeric) = 1.7038453156522360969127808610847
absolute error = 3e-31
relative error = 1.7607232138039436774134558190288e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 1.7031346105755821960220838285014
y[1] (numeric) = 1.7031346105755821960220838285011
absolute error = 3e-31
relative error = 1.7614579501652756412737759748576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 1.7024232023643763140981189206891
y[1] (numeric) = 1.7024232023643763140981189206888
absolute error = 3e-31
relative error = 1.7621940278031397714840201269690e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 1.7017110917300266030627524372568
y[1] (numeric) = 1.7017110917300266030627524372565
absolute error = 3e-31
relative error = 1.7629314485751407394242531681522e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 1.7009982793846436379231445291801
y[1] (numeric) = 1.7009982793846436379231445291798
absolute error = 3e-31
relative error = 1.7636702143433594106877271918897e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 1.7002847660410397046612335341874
y[1] (numeric) = 1.7002847660410397046612335341871
absolute error = 3e-31
relative error = 1.7644103269743634939323696971585e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 1.6995705524127280874215093958435
y[1] (numeric) = 1.6995705524127280874215093958431
absolute error = 4e-31
relative error = 2.3535357177856242972372529017558e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 1.6988556392139223549977889784976
y[1] (numeric) = 1.6988556392139223549977889784972
absolute error = 4e-31
relative error = 2.3545261337513294292123643661943e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 1.6981400271595356466197067912625
y[1] (numeric) = 1.6981400271595356466197067912621
absolute error = 4e-31
relative error = 2.3555183530363900057952951948158e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 1.6974237169651799570396353344726
y[1] (numeric) = 1.6974237169651799570396353344722
absolute error = 4e-31
relative error = 2.3565123781536356736577521842569e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 1.6967067093471654209207499816423
y[1] (numeric) = 1.6967067093471654209207499816419
absolute error = 4e-31
relative error = 2.3575082116219501961008283703198e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 1.6959890050224995965269540088002
y[1] (numeric) = 1.6959890050224995965269540087998
absolute error = 4e-31
relative error = 2.3585058559662859193089522780337e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 1.6952706047088867487153800812132
y[1] (numeric) = 1.6952706047088867487153800812128
absolute error = 4e-31
relative error = 2.3595053137176782837567636773386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 1.6945515091247271312321852049411
y[1] (numeric) = 1.6945515091247271312321852049407
absolute error = 4e-31
relative error = 2.3605065874132603809196269262350e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 1.6938317189891162683123568473649
y[1] (numeric) = 1.6938317189891162683123568473645
absolute error = 4e-31
relative error = 2.3615096795962775554390819827189e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=183.1MB, alloc=4.4MB, time=8.04
x[1] = 0.805
y[1] (analytic) = 1.6931112350218442355842486268248
y[1] (numeric) = 1.6931112350218442355842486268244
absolute error = 4e-31
relative error = 2.3625145928161020528951246657259e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 1.6923900579433949402795646667706
y[1] (numeric) = 1.6923900579433949402795646667702
absolute error = 4e-31
relative error = 2.3635213296282477133378017555015e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 1.6916681884749454007495124043812
y[1] (numeric) = 1.6916681884749454007495124043808
absolute error = 4e-31
relative error = 2.3645298925943847107312030571673e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 1.6909456273383650252878443374403
y[1] (numeric) = 1.6909456273383650252878443374399
absolute error = 4e-31
relative error = 2.3655402842823543384635316197481e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 1.6902223752562148902615098863654
y[1] (numeric) = 1.6902223752562148902615098863651
absolute error = 3e-31
relative error = 1.7749143804496378808081511889163e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 1.6894984329517470175496392406801
y[1] (numeric) = 1.6894984329517470175496392406798
absolute error = 3e-31
relative error = 1.7756749230945759692821379877619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 1.688773801148903651291581750883
y[1] (numeric) = 1.6887738011489036512915817508827
absolute error = 3e-31
relative error = 1.7764368430864128900443206527093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 1.6880484805723165339447221176171
y[1] (numeric) = 1.6880484805723165339447221176169
absolute error = 2e-31
relative error = 1.1848000949131030385228954313573e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 1.6873224719473061816527983202618
y[1] (numeric) = 1.6873224719473061816527983202615
absolute error = 3e-31
relative error = 1.7779648228934911947319007978126e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 1.6865957759998811589254459165686
y[1] (numeric) = 1.6865957759998811589254459165683
absolute error = 3e-31
relative error = 1.7787308866118086295325261652214e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 1.6858683934567373526296940337378
y[1] (numeric) = 1.6858683934567373526296940337376
absolute error = 2e-31
relative error = 1.1863322236554664209950012291873e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 1.685140325045257245294139059378
y[1] (numeric) = 1.6851403250452572452941390593778
absolute error = 2e-31
relative error = 1.1868447809806501868745500270003e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 1.684411571493509187726522728114
y[1] (numeric) = 1.6844115714935091877265227281138
absolute error = 2e-31
relative error = 1.1873582643621175809497437331212e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 1.683682133530246670945441986206
y[1] (numeric) = 1.6836821335302466709454419862058
absolute error = 2e-31
relative error = 1.1878726751150565713778853082624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 1.6829520118849075974269187024083
y[1] (numeric) = 1.6829520118849075974269187024081
absolute error = 2e-31
relative error = 1.1883880145578235487943989133471e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=8.21
x[1] = 0.82
y[1] (analytic) = 1.6822212072876135516665579784369
y[1] (numeric) = 1.6822212072876135516665579784368
absolute error = 1e-31
relative error = 5.9445214200597550078434381843304e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 1.6814897204691690700580244968283
y[1] (numeric) = 1.6814897204691690700580244968282
absolute error = 1e-31
relative error = 5.9471074240107760755990174015283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 1.6807575521610609100885670276502
y[1] (numeric) = 1.6807575521610609100885670276501
absolute error = 1e-31
relative error = 5.9496980912817199768655009671496e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 1.6800247030954573188523218984808
y[1] (numeric) = 1.6800247030954573188523218984808
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 1.6792911740052073008821269142913
y[1] (numeric) = 1.6792911740052073008821269142913
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 1.6785569656238398853005778953559
y[1] (numeric) = 1.6785569656238398853005778953558
absolute error = 1e-31
relative error = 5.9574981396496573733394574139603e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 1.6778220786855633922910606820732
y[1] (numeric) = 1.6778220786855633922910606820731
absolute error = 1e-31
relative error = 5.9601075269161933542203932199889e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 1.6770865139252646988894921356054
y[1] (numeric) = 1.6770865139252646988894921356053
absolute error = 1e-31
relative error = 5.9627216109410714604504973677607e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 1.6763502720785085040975043425319
y[1] (numeric) = 1.6763502720785085040975043425318
absolute error = 1e-31
relative error = 5.9653403984603941108105501960267e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 1.6756133538815365933178069102739
y[1] (numeric) = 1.6756133538815365933178069102738
absolute error = 1e-31
relative error = 5.9679638962264950617619181866457e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 1.6748757600712671021124629178644
y[1] (numeric) = 1.6748757600712671021124629178644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 1.6741374913852937792848147637283
y[1] (numeric) = 1.6741374913852937792848147637283
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 1.6733985485618852492857968284831
y[1] (numeric) = 1.6733985485618852492857968284831
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 1.6726589323399842739453725463881
y[1] (numeric) = 1.6726589323399842739453725463881
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 1.6719186434592070135298341539424
y[1] (numeric) = 1.6719186434592070135298341539425
absolute error = 1e-31
relative error = 5.9811522762315492200445190145673e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=190.7MB, alloc=4.4MB, time=8.37
x[1] = 0.835
y[1] (analytic) = 1.6711776826598422871257040582708
y[1] (numeric) = 1.6711776826598422871257040582709
absolute error = 1e-31
relative error = 5.9838041781912887975905341268338e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 1.6704360506828508323509774413339
y[1] (numeric) = 1.6704360506828508323509774413339
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 1.6696937482698645643944463886591
y[1] (numeric) = 1.6696937482698645643944463886591
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 1.6689507761631858343838465032063
y[1] (numeric) = 1.6689507761631858343838465032063
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 1.6682071351057866870835676361593
y[1] (numeric) = 1.6682071351057866870835676361593
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 1.6674628258413081179226710368709
y[1] (numeric) = 1.6674628258413081179226710368709
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 1.6667178491140593293539558938825
y[1] (numeric) = 1.6667178491140593293539558938826
absolute error = 1e-31
relative error = 5.9998157488476413619058419026475e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 1.6659722056690169865448189078902
y[1] (numeric) = 1.6659722056690169865448189078903
absolute error = 1e-31
relative error = 6.0025011017421054759917445023022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 1.665225896251824472400651205734
y[1] (numeric) = 1.6652258962518244724006512057341
absolute error = 1e-31
relative error = 6.0051912611427139846723443068067e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 1.6644789216087911419215175719538
y[1] (numeric) = 1.6644789216087911419215175719539
absolute error = 1e-31
relative error = 6.0078862340500928933290337302732e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 1.6637312824868915758928636411686
y[1] (numeric) = 1.6637312824868915758928636411687
absolute error = 1e-31
relative error = 6.0105860274817482797319817241215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 1.6629829796337648339109973605104
y[1] (numeric) = 1.6629829796337648339109973605105
absolute error = 1e-31
relative error = 6.0132906484721079342523570718703e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 1.6622340137977137067440916965694
y[1] (numeric) = 1.6622340137977137067440916965695
absolute error = 1e-31
relative error = 6.0160001040725631314629068701897e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 1.6614843857277039680294562257845
y[1] (numeric) = 1.6614843857277039680294562257846
absolute error = 1e-31
relative error = 6.0187144013515105335765599816840e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 1.6607340961733636253078259109465
y[1] (numeric) = 1.6607340961733636253078259109466
absolute error = 1e-31
relative error = 6.0214335473943942261745105071540e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=194.5MB, alloc=4.4MB, time=8.54
x[1] = 0.85
y[1] (analytic) = 1.6599831458849821703954160294615
y[1] (numeric) = 1.6599831458849821703954160294616
absolute error = 1e-31
relative error = 6.0241575493037478866770293303908e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 1.6592315356135098290944928812576
y[1] (numeric) = 1.6592315356135098290944928812578
absolute error = 2e-31
relative error = 1.2053772828398474172024105148339e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 1.6584792661105568102432105657027
y[1] (numeric) = 1.6584792661105568102432105657029
absolute error = 2e-31
relative error = 1.2059240298435403447876808819154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 1.6577263381283925541054647776315
y[1] (numeric) = 1.6577263381283925541054647776317
absolute error = 2e-31
relative error = 1.2064717523026397196964656239726e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 1.6569727524199449801015152325684
y[1] (numeric) = 1.6569727524199449801015152325686
absolute error = 2e-31
relative error = 1.2070204516514088219895647345042e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 1.6562185097387997338801289904588
y[1] (numeric) = 1.6562185097387997338801289904589
absolute error = 1e-31
relative error = 6.0378506466378570999631223374335e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 1.6554636108391994337329976057035
y[1] (numeric) = 1.6554636108391994337329976057036
absolute error = 1e-31
relative error = 6.0406039338616018260274691429806e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 1.6547080564760429163521816890169
y[1] (numeric) = 1.654708056476042916352181689017
absolute error = 1e-31
relative error = 6.0433621271516310720242322244646e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 1.6539518474048844819313371236005
y[1] (numeric) = 1.6539518474048844819313371236007
absolute error = 2e-31
relative error = 1.2092250467497458790336428857714e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 1.6531949843819331386114778343436
y[1] (numeric) = 1.6531949843819331386114778343437
absolute error = 1e-31
relative error = 6.0488932609111565098569069355606e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 1.6524374681640518462720306642239
y[1] (numeric) = 1.652437468164051846272030664224
absolute error = 1e-31
relative error = 6.0516662159146908088972971737921e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 1.6516792995087567596679385667926
y[1] (numeric) = 1.6516792995087567596679385667927
absolute error = 1e-31
relative error = 6.0544441060526730225817240025976e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 1.6509204791742164709135689775753
y[1] (numeric) = 1.6509204791742164709135689775754
absolute error = 1e-31
relative error = 6.0572269386360500160881620090330e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 1.6501610079192512513141848804184
y[1] (numeric) = 1.6501610079192512513141848804185
absolute error = 1e-31
relative error = 6.0600147209934187256822139133244e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 1.6494008865033322925457367372467
y[1] (numeric) = 1.6494008865033322925457367372468
absolute error = 1e-31
relative error = 6.0628074604710702341999954869035e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=198.3MB, alloc=4.4MB, time=8.71
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 1.6486401156865809471837341013768
y[1] (numeric) = 1.6486401156865809471837341013769
absolute error = 1e-31
relative error = 6.0656051644330339862930111302151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 1.6478786962297679685819563854515
y[1] (numeric) = 1.6478786962297679685819563854516
absolute error = 1e-31
relative error = 6.0684078402611221439180403624978e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 1.6471166288943127501017629052209
y[1] (numeric) = 1.647116628894312750101762905221
absolute error = 1e-31
relative error = 6.0712154953549740825569859859494e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 1.6463539144422825636927629697972
y[1] (numeric) = 1.6463539144422825636927629697974
absolute error = 2e-31
relative error = 1.2148056274264202057307147285175e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 1.6455905536363917978256074376496
y[1] (numeric) = 1.6455905536363917978256074376497
absolute error = 1e-31
relative error = 6.0768457730279308387557399247364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 1.6448265472400011947776638054828
y[1] (numeric) = 1.644826547240001194777663805483
absolute error = 2e-31
relative error = 1.2159336820991705841709004341315e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 1.6440618960171170872723375442638
y[1] (numeric) = 1.6440618960171170872723375442639
absolute error = 1e-31
relative error = 6.0824960570072632984120676167837e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 1.6432966007323906344728030430074
y[1] (numeric) = 1.6432966007323906344728030430076
absolute error = 2e-31
relative error = 1.2170657440103219635147825458223e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 1.6425306621511170573309081665308
y[1] (numeric) = 1.642530662151117057330908166531
absolute error = 2e-31
relative error = 1.2176332814272874996123090680554e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 1.6417640810392348732920170782044
y[1] (numeric) = 1.6417640810392348732920170782046
absolute error = 2e-31
relative error = 1.2182018251574868056489305435934e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 1.640996858163325130356556622796
y[1] (numeric) = 1.6409968581633251303565566227962
absolute error = 2e-31
relative error = 1.2187713767096950809786675853579e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 1.6402289942906106404990322077955
y[1] (numeric) = 1.6402289942906106404990322077956
absolute error = 1e-31
relative error = 6.0967096879816717181131548622335e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 1.6394604901889552124452797641414
y[1] (numeric) = 1.6394604901889552124452797641416
absolute error = 2e-31
relative error = 1.2199135093334826163935338349094e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 1.6386913466268628838087210090344
y[1] (numeric) = 1.6386913466268628838087210090345
absolute error = 1e-31
relative error = 6.1024304672044157112952980053677e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 1.6379215643734771525863898745154
y[1] (numeric) = 1.6379215643734771525863898745155
absolute error = 1e-31
relative error = 6.1052984572097681452292160739494e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=202.1MB, alloc=4.4MB, time=8.88
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 1.6371511441985802080154986057221
y[1] (numeric) = 1.6371511441985802080154986057222
absolute error = 1e-31
relative error = 6.1081715243189776179311592162596e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 1.6363800868725921607913126721897
y[1] (numeric) = 1.6363800868725921607913126721898
absolute error = 1e-31
relative error = 6.1110496761860165770520090428964e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 1.6356083931665702726471042742594
y[1] (numeric) = 1.6356083931665702726471042742595
absolute error = 1e-31
relative error = 6.1139329204833693504341039844748e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 1.6348360638522081852969548645758
y[1] (numeric) = 1.6348360638522081852969548645759
absolute error = 1e-31
relative error = 6.1168212649020789615722926801367e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 1.6340630997018351487421777418069
y[1] (numeric) = 1.634063099701835148742177741807
absolute error = 1e-31
relative error = 6.1197147171517940943528254804842e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 1.6332895014884152489421324100994
y[1] (numeric) = 1.6332895014884152489421324100995
absolute error = 1e-31
relative error = 6.1226132849608162075912688251708e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 1.6325152699855466348502030333909
y[1] (numeric) = 1.6325152699855466348502030333909
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 1.6317404059674607448157139485358
y[1] (numeric) = 1.6317404059674607448157139485359
absolute error = 1e-31
relative error = 6.1284257982635348253597509486059e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 1.6309649102090215323525558352659
y[1] (numeric) = 1.630964910209021532352555835266
absolute error = 1e-31
relative error = 6.1313397593075242606754736432464e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 1.630188783485724691275296774293
y[1] (numeric) = 1.6301887834857246912752967742931
absolute error = 1e-31
relative error = 6.1342588670115018240915515514749e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 1.6294120265736968802035530573802
y[1] (numeric) = 1.6294120265736968802035530573804
absolute error = 2e-31
relative error = 1.2274366258395489693705469789719e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 1.6286346402496949464353952449452
y[1] (numeric) = 1.6286346402496949464353952449454
absolute error = 2e-31
relative error = 1.2280225107414938595183896548619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 1.6278566252911051491905655977243
y[1] (numeric) = 1.6278566252911051491905655977245
absolute error = 2e-31
relative error = 1.2286094296801755920463921517624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 1.6270779824759423822242836392167
y[1] (numeric) = 1.6270779824759423822242836392169
absolute error = 2e-31
relative error = 1.2291973842314417531863752490034e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 1.626298712582849395812417235037
y[1] (numeric) = 1.6262987125828493958124172350373
absolute error = 3e-31
relative error = 1.8446795639624349838856550087656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=206.0MB, alloc=4.4MB, time=9.05
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 1.6255188163910960181087972039415
y[1] (numeric) = 1.6255188163910960181087972039417
absolute error = 2e-31
relative error = 1.2303764064942110683295241525538e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 1.6247382946805783758754541031468
y[1] (numeric) = 1.6247382946805783758754541031471
absolute error = 3e-31
relative error = 1.8464512160647979595397919614916e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 1.6239571482318181145865564576418
y[1] (numeric) = 1.6239571482318181145865564576421
absolute error = 3e-31
relative error = 1.8473393853196385368499349474894e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 1.6231753778259616179068303294869
y[1] (numeric) = 1.6231753778259616179068303294872
absolute error = 3e-31
relative error = 1.8482291198983815572420525151502e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 1.6223929842447792265452407486178
y[1] (numeric) = 1.6223929842447792265452407486182
absolute error = 4e-31
relative error = 2.4654938962658250197536846126429e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 1.6216099682706644564847161514071
y[1] (numeric) = 1.6216099682706644564847161514075
absolute error = 4e-31
relative error = 2.4666843928356736701397732916790e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 1.6208263306866332165886975971928
y[1] (numeric) = 1.6208263306866332165886975971932
absolute error = 4e-31
relative error = 2.4678769861206991170205902005646e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 1.6200420722763230255852951561612
y[1] (numeric) = 1.6200420722763230255852951561616
absolute error = 4e-31
relative error = 2.4690716793420033126011630770589e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 1.619257193823992228429834484361
y[1] (numeric) = 1.6192571938239922284298344843614
absolute error = 4e-31
relative error = 2.4702684757284990327441476323986e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 1.6184716961145192120465772232376
y[1] (numeric) = 1.6184716961145192120465772232381
absolute error = 5e-31
relative error = 3.0893342231461623775080072292699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 1.6176855799334016204503994819018
y[1] (numeric) = 1.6176855799334016204503994819022
absolute error = 4e-31
relative error = 2.4726683909518904829459591287832e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 1.6168988460667555692492132803878
y[1] (numeric) = 1.6168988460667555692492132803883
absolute error = 5e-31
relative error = 3.0923393953573080374077741773991e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 1.6161114953013148595279164514162
y[1] (numeric) = 1.6161114953013148595279164514167
absolute error = 5e-31
relative error = 3.0938459472239433845566477354779e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 1.6153235284244301911146571166434
y[1] (numeric) = 1.6153235284244301911146571166439
absolute error = 5e-31
relative error = 3.0953551483751048432741062726749e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 1.6145349462240683752301994710699
y[1] (numeric) = 1.6145349462240683752301994710704
absolute error = 5e-31
relative error = 3.0968670029060430398109360665066e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=209.8MB, alloc=4.4MB, time=9.22
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 1.6137457494888115465211782261747
y[1] (numeric) = 1.6137457494888115465211782261752
absolute error = 5e-31
relative error = 3.0983815149219490461247195114818e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 1.6129559390078563744780296784564
y[1] (numeric) = 1.6129559390078563744780296784569
absolute error = 5e-31
relative error = 3.0998986885379799795379857197370e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 1.612165515571013274238387985384
y[1] (numeric) = 1.6121655155710132742383879853844
absolute error = 4e-31
relative error = 2.4811348223034277477952620569197e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 1.6113744799687056167767358452946
y[1] (numeric) = 1.611374479968705616776735845295
absolute error = 4e-31
relative error = 2.4823528296648235987620240563341e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 1.6105828329919689384810993915234
y[1] (numeric) = 1.6105828329919689384810993915238
absolute error = 4e-31
relative error = 2.4835729762307392775735541108772e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 1.609790575432450150117577724003
y[1] (numeric) = 1.6097905754324501501175777240034
absolute error = 4e-31
relative error = 2.4847952653253979415916168408668e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 1.6089977080824067451834981137382
y[1] (numeric) = 1.6089977080824067451834981137385
absolute error = 3e-31
relative error = 1.8645147752108242319685978955964e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 1.6082042317347060076499885269339
y[1] (numeric) = 1.6082042317347060076499885269342
absolute error = 3e-31
relative error = 1.8654347133286791540834997956869e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 1.6074101471828242190947597261393
y[1] (numeric) = 1.6074101471828242190947597261396
absolute error = 3e-31
relative error = 1.8663562658589991301963062146011e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 1.6066154552208458652258898155579
y[1] (numeric) = 1.6066154552208458652258898155582
absolute error = 3e-31
relative error = 1.8672794353192743670503305932639e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 1.6058201566434628417974047066744
y[1] (numeric) = 1.6058201566434628417974047066747
absolute error = 3e-31
relative error = 1.8682042242331151813099074201194e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 1.6050242522459736599174485885512
y[1] (numeric) = 1.6050242522459736599174485885515
absolute error = 3e-31
relative error = 1.8691306351302678614062355049460e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 1.6042277428242826507498390945582
y[1] (numeric) = 1.6042277428242826507498390945585
absolute error = 3e-31
relative error = 1.8700586705466305805750760394088e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 1.6034306291748991696098024639136
y[1] (numeric) = 1.6034306291748991696098024639139
absolute error = 3e-31
relative error = 1.8709883330242693612686543837065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 1.6026329120949367994546846022351
y[1] (numeric) = 1.6026329120949367994546846022354
absolute error = 3e-31
relative error = 1.8719196251114340911248597888081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=213.6MB, alloc=4.4MB, time=9.39
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 1.6018345923821125537704345503238
y[1] (numeric) = 1.6018345923821125537704345503241
absolute error = 3e-31
relative error = 1.8728525493625745906775858844808e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 1.6010356708347460788546574746306
y[1] (numeric) = 1.601035670834746078854657474631
absolute error = 4e-31
relative error = 2.4983828111178089773237423349946e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 1.6002361482517588554970348962863
y[1] (numeric) = 1.6002361482517588554970348962867
absolute error = 4e-31
relative error = 2.4996310728075714872209850217805e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 1.5994360254326734000579104782075
y[1] (numeric) = 1.5994360254326734000579104782078
absolute error = 3e-31
relative error = 1.8756611407376867836151971865100e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 1.5986353031776124649458402916272
y[1] (numeric) = 1.5986353031776124649458402916276
absolute error = 4e-31
relative error = 2.5021341590850566774826914949052e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 1.597833982287298238494907084433
y[1] (numeric) = 1.5978339822872982384949070844333
absolute error = 3e-31
relative error = 1.8775417429196881134791861746737e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 1.5970320635630515442425986739304
y[1] (numeric) = 1.5970320635630515442425986739307
absolute error = 3e-31
relative error = 1.8784845141473633604020631139111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 1.5962295478067910396090511860886
y[1] (numeric) = 1.5962295478067910396090511860889
absolute error = 3e-31
relative error = 1.8794289355951218807879134642244e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 1.5954264358210324139784584619569
y[1] (numeric) = 1.5954264358210324139784584619571
absolute error = 2e-31
relative error = 1.2535833399117317774097759794733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 1.5946227284088875861834495497756
y[1] (numeric) = 1.5946227284088875861834495497759
absolute error = 3e-31
relative error = 1.8813227395757716092096413873923e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 1.5938184263740639013932367983387
y[1] (numeric) = 1.593818426374063901393236798339
absolute error = 3e-31
relative error = 1.8822721273369880996498021568852e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 1.5930135305208633274063376633907
y[1] (numeric) = 1.593013530520863327406337663391
absolute error = 3e-31
relative error = 1.8832231757749716729757580566158e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 1.5922080416541816503486739342715
y[1] (numeric) = 1.5922080416541816503486739342717
absolute error = 2e-31
relative error = 1.2561172583465624759417944311753e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 1.5914019605795076697778526826406
y[1] (numeric) = 1.5914019605795076697778526826408
absolute error = 2e-31
relative error = 1.2567535101387594758613659997707e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=9.56
x[1] = 0.939
y[1] (analytic) = 1.590595288102922393194433828935
y[1] (numeric) = 1.5905952881029223931944338289352
absolute error = 2e-31
relative error = 1.2573908743218823882457963688969e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 1.589788025031098229960989815224
y[1] (numeric) = 1.5897880250310982299609898152242
absolute error = 2e-31
relative error = 1.2580293526622063428193425676008e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 1.5889801721712981846297634653354
y[1] (numeric) = 1.5889801721712981846297634653356
absolute error = 2e-31
relative error = 1.2586689469303159399908363281983e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 1.5881717303313750496797307045275
y[1] (numeric) = 1.5881717303313750496797307045277
absolute error = 2e-31
relative error = 1.2593096589011165683068025454398e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 1.5873627003197705976638754015769
y[1] (numeric) = 1.587362700319770597663875401577
absolute error = 1e-31
relative error = 6.2997574517692287934637124800489e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 1.58655308294551477276748418594
y[1] (numeric) = 1.5865530829455147727674841859401
absolute error = 1e-31
relative error = 6.3029722153604228780753289444019e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 1.5857428790182248817782696816264
y[1] (numeric) = 1.5857428790182248817782696816265
absolute error = 1e-31
relative error = 6.3061925942188452264835059399390e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 1.5849320893481047844691311875929
y[1] (numeric) = 1.584932089348104784469131187593
absolute error = 1e-31
relative error = 6.3094185973060081055998254994779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 1.5841207147459440833943624218299
y[1] (numeric) = 1.58412071474594408339436242183
absolute error = 1e-31
relative error = 6.3126502336053134317540883149723e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 1.5833087560231173131001165328662
y[1] (numeric) = 1.5833087560231173131001165328662
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 1.5824962139915831287499391681575
y[1] (numeric) = 1.5824962139915831287499391681575
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 1.5816830894638834941661809737605
y[1] (numeric) = 1.5816830894638834941661809737604
absolute error = 1e-31
relative error = 6.3223790319396610323250622673495e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 1.5808693832531428692881014838095
y[1] (numeric) = 1.5808693832531428692881014838094
absolute error = 1e-31
relative error = 6.3256332913613717816941522069634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 1.580055096173067397047476941627
y[1] (numeric) = 1.5800550961730673970474769416269
absolute error = 1e-31
relative error = 6.3288932292426054253386500283977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 1.5792402290379440896625251767901
y[1] (numeric) = 1.57924022903794408966252517679
absolute error = 1e-31
relative error = 6.3321588546993200973351953949715e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=9.73
x[1] = 0.954
y[1] (analytic) = 1.5784247826626400143509612441614
y[1] (numeric) = 1.5784247826626400143509612441612
absolute error = 2e-31
relative error = 1.2670860353739542916881929325195e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 1.5776087578626014784629981117605
y[1] (numeric) = 1.5776087578626014784629981117604
absolute error = 1e-31
relative error = 6.3387072049145717270486931619084e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 1.5767921554538532140351072644082
y[1] (numeric) = 1.5767921554538532140351072644081
absolute error = 1e-31
relative error = 6.3419899480167489029105777524647e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 1.5759749762529975617653546693133
y[1] (numeric) = 1.5759749762529975617653546693132
absolute error = 1e-31
relative error = 6.3452784153818061843299659653254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 1.5751572210772136544111281281996
y[1] (numeric) = 1.5751572210772136544111281281994
absolute error = 2e-31
relative error = 1.2697145232475563159045270154576e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 1.5743388907442565996100726181766
y[1] (numeric) = 1.5743388907442565996100726181764
absolute error = 2e-31
relative error = 1.2703745119670615425704749450242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 1.5735199860724566621250508003519
y[1] (numeric) = 1.5735199860724566621250508003517
absolute error = 2e-31
relative error = 1.2710356510895343653297020475909e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 1.5727005078807184455139464511542
y[1] (numeric) = 1.572700507880718445513946451154
absolute error = 2e-31
relative error = 1.2716979424741751958631881615888e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 1.5718804569885200732251291464982
y[1] (numeric) = 1.571880456988520073225129146498
absolute error = 2e-31
relative error = 1.2723613879847394880902434001844e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 1.5710598342159123691193991032558
y[1] (numeric) = 1.5710598342159123691193991032557
absolute error = 1e-31
relative error = 6.3651299474477492836811459980400e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 1.5702386403835180374192316560228
y[1] (numeric) = 1.5702386403835180374192316560227
absolute error = 1e-31
relative error = 6.3684587443075411779433904246870e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 1.5694168763125308420861414198663
y[1] (numeric) = 1.5694168763125308420861414198662
absolute error = 1e-31
relative error = 6.3717933398905403779315177329960e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 1.5685945428247147856269867616215
y[1] (numeric) = 1.5685945428247147856269867616214
absolute error = 1e-31
relative error = 6.3751337436072329144299619281238e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 1.5677716407424032873300357733647
y[1] (numeric) = 1.5677716407424032873300357733645
absolute error = 2e-31
relative error = 1.2756959929782369970534756071373e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 1.5669481708884983609316155119276
y[1] (numeric) = 1.5669481708884983609316155119275
absolute error = 1e-31
relative error = 6.3818320131991045476199021681481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=225.0MB, alloc=4.4MB, time=9.90
x[1] = 0.969
y[1] (analytic) = 1.5661241340864697917141668377364
y[1] (numeric) = 1.5661241340864697917141668377362
absolute error = 2e-31
relative error = 1.2770379796021806224797752863619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 1.5652995311603543130365277548499
y[1] (numeric) = 1.5652995311603543130365277548497
absolute error = 2e-31
relative error = 1.2777107257659515482921316588080e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 1.5644743629347547822972687218476
y[1] (numeric) = 1.5644743629347547822972687218475
absolute error = 1e-31
relative error = 6.3919232151821732483792084734718e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 1.5636486302348393563319039701617
y[1] (numeric) = 1.5636486302348393563319039701616
absolute error = 1e-31
relative error = 6.3952986666180446035252399955791e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 1.5628223338863406662448034325732
y[1] (numeric) = 1.5628223338863406662448034325731
absolute error = 1e-31
relative error = 6.3986799927107195441988138441214e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 1.5619954747155549916766304498929
y[1] (numeric) = 1.5619954747155549916766304498927
absolute error = 2e-31
relative error = 1.2804134406114122781130767415192e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 1.5611680535493414345081309883184
y[1] (numeric) = 1.5611680535493414345081309883182
absolute error = 2e-31
relative error = 1.2810920614555024136296847483542e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 1.5603400712151210920011006636116
y[1] (numeric) = 1.5603400712151210920011006636113
absolute error = 3e-31
relative error = 1.9226577945048466012904757352514e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 1.5595115285408762293773564310583
y[1] (numeric) = 1.5595115285408762293773564310581
absolute error = 2e-31
relative error = 1.2824528471881560465506318941829e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 1.5586824263551494518365403621718
y[1] (numeric) = 1.5586824263551494518365403621716
absolute error = 2e-31
relative error = 1.2831350159485889413970900588580e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 1.5578527654870428760135834902649
y[1] (numeric) = 1.5578527654870428760135834902647
absolute error = 2e-31
relative error = 1.2838183712276078979763093750531e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 1.5570225467662173008766582673599
y[1] (numeric) = 1.5570225467662173008766582673597
absolute error = 2e-31
relative error = 1.2845029149730704307483639366537e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 1.5561917710228913780664487344139
y[1] (numeric) = 1.5561917710228913780664487344137
absolute error = 2e-31
relative error = 1.2851886491376262782884758382537e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 1.5553604390878407816775680655199
y[1] (numeric) = 1.5553604390878407816775680655197
absolute error = 2e-31
relative error = 1.2858755756787303012355244165621e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 1.5545285517923973774829537045974
y[1] (numeric) = 1.5545285517923973774829537045973
absolute error = 1e-31
relative error = 6.4328184827932771138989097051616e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=228.8MB, alloc=4.4MB, time=10.06
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 1.5536961099684483916020708701086
y[1] (numeric) = 1.5536961099684483916020708701085
absolute error = 1e-31
relative error = 6.4362650687225280592313535654286e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 1.5528631144484355786137557595258
y[1] (numeric) = 1.5528631144484355786137557595257
absolute error = 1e-31
relative error = 6.4397176460411445456539617045153e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 1.5520295660653543891145303406393
y[1] (numeric) = 1.5520295660653543891145303406393
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 1.5511954656527531367232211713211
y[1] (numeric) = 1.551195465652753136723221171321
absolute error = 1e-31
relative error = 6.4466408144069290371912839301410e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 1.5503608140447321645327152430547
y[1] (numeric) = 1.5503608140447321645327152430546
absolute error = 1e-31
relative error = 6.4501114252952684306360091145084e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 1.5495256120759430110096863964084
y[1] (numeric) = 1.5495256120759430110096863964083
absolute error = 1e-31
relative error = 6.4535880672554479146979332194015e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 1.5486898605815875753431264086536
y[1] (numeric) = 1.5486898605815875753431264086536
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 1.5478535603974172822425154049293
y[1] (numeric) = 1.5478535603974172822425154049293
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 1.5470167123597322461864667947115
y[1] (numeric) = 1.5470167123597322461864667947114
absolute error = 1e-31
relative error = 6.4640542795084370326835788493680e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 1.5461793173053804351226824848735
y[1] (numeric) = 1.5461793173053804351226824848734
absolute error = 1e-31
relative error = 6.4675551458207322504167998885497e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 1.5453413760717568336200546693127
y[1] (numeric) = 1.5453413760717568336200546693126
absolute error = 1e-31
relative error = 6.4710620933608245496312037125246e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 1.5445028894968026054737510429714
y[1] (numeric) = 1.5445028894968026054737510429713
absolute error = 1e-31
relative error = 6.4745751322342875882898071640485e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 1.5436638584190042557641208350967
y[1] (numeric) = 1.5436638584190042557641208350967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 1.5428242836773927923702596027651
y[1] (numeric) = 1.542824283677392792370259602765
absolute error = 1e-31
relative error = 6.4816195245284440802375437531570e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 1.5419841661115428869390712710343
y[1] (numeric) = 1.5419841661115428869390712710342
absolute error = 1e-31
relative error = 6.4851508982853119300900428046325e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=232.7MB, alloc=4.4MB, time=10.23
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 1.5411435065615720353106664505939
y[1] (numeric) = 1.5411435065615720353106664505938
absolute error = 1e-31
relative error = 6.4886884040480355152870654619185e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 1.540302305868139717400936607443
y[1] (numeric) = 1.5403023058681397174009366074429
absolute error = 1e-31
relative error = 6.4922320520476241844188324942717e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 1.5394605648724465565421442019536
y[1] (numeric) = 1.5394605648724465565421442019535
absolute error = 1e-31
relative error = 6.4957818525403795213439423753634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 1.5386182844162334782823694566573
y[1] (numeric) = 1.5386182844162334782823694566572
absolute error = 1e-31
relative error = 6.4993378158079642412426402545506e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 1.5377754653417808686446549532403
y[1] (numeric) = 1.5377754653417808686446549532402
absolute error = 1e-31
relative error = 6.5028999521574713156464193662167e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 1.5369321084919077318466897995304
y[1] (numeric) = 1.5369321084919077318466897995303
absolute error = 1e-31
relative error = 6.5064682719214933272944850797761e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 1.5360882147099708474818756467225
y[1] (numeric) = 1.5360882147099708474818756467224
absolute error = 1e-31
relative error = 6.5100427854581920556712096651193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 1.5352437848398639271626173757064
y[1] (numeric) = 1.5352437848398639271626173757063
absolute error = 1e-31
relative error = 6.5136235031513682940823205369752e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 1.5343988197260167706266818091356
y[1] (numeric) = 1.5343988197260167706266818091354
absolute error = 2e-31
relative error = 1.3034420870821063798262392667327e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 1.5335533202133944213074683428077
y[1] (numeric) = 1.5335533202133944213074683428075
absolute error = 2e-31
relative error = 1.3041607185341944146920587536485e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 1.532707287147496321369035926017
y[1] (numeric) = 1.5327072871474963213690359260167
absolute error = 3e-31
relative error = 1.9573208956181483647879181552653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 1.5318607213743554662067313557792
y[1] (numeric) = 1.5318607213743554662067313557789
absolute error = 3e-31
relative error = 1.9584025872198477020946116726077e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 1.5310136237405375584142643842326
y[1] (numeric) = 1.5310136237405375584142643842323
absolute error = 3e-31
relative error = 1.9594861557603050188317695735427e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 1.5301659950931401612180756720674
y[1] (numeric) = 1.5301659950931401612180756720671
absolute error = 3e-31
relative error = 1.9605716044012545479985561125552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 1.5293178362797918513798441535466
y[1] (numeric) = 1.5293178362797918513798441535463
absolute error = 3e-31
relative error = 1.9616589363122708093710965900368e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=236.5MB, alloc=4.4MB, time=10.40
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 1.5284691481486513715679809105391
y[1] (numeric) = 1.5284691481486513715679809105389
absolute error = 2e-31
relative error = 1.3084987697805267464758202678063e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 1.527619931548406782198957184002
y[1] (numeric) = 1.5276199315484067821989571840018
absolute error = 2e-31
relative error = 1.3092261751080881165449555402612e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 1.5267701873282746127493146815114
y[1] (numeric) = 1.5267701873282746127493146815112
absolute error = 2e-31
relative error = 1.3099548423196811357559060718867e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 1.5259199163379990125392068687629
y[1] (numeric) = 1.5259199163379990125392068687627
absolute error = 2e-31
relative error = 1.3106847735494067965163949907517e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 1.5250691194278509009883204614282
y[1] (numeric) = 1.525069119427850900988320461428
absolute error = 2e-31
relative error = 1.3114159709366651304309013048910e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 1.5242177974486271173450268613758
y[1] (numeric) = 1.5242177974486271173450268613756
absolute error = 2e-31
relative error = 1.3121484366261697896626893825482e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 1.5233659512516495698896138080338
y[1] (numeric) = 1.5233659512516495698896138080336
absolute error = 2e-31
relative error = 1.3128821727679626770830986927370e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 1.5225135816887643846124480415924
y[1] (numeric) = 1.5225135816887643846124480415922
absolute error = 2e-31
relative error = 1.3136171815174286253909020581316e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 1.5216606896123410533679202998119
y[1] (numeric) = 1.5216606896123410533679202998116
absolute error = 3e-31
relative error = 1.9715301975529651880779797762707e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 1.5208072758752715815050244944202
y[1] (numeric) = 1.5208072758752715815050244944199
absolute error = 3e-31
relative error = 1.9726365382315831553655906183609e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 1.5199533413309696349754234364508
y[1] (numeric) = 1.5199533413309696349754234364506
absolute error = 2e-31
relative error = 1.3158298650461667493225435195289e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 1.5190988868333696869198540023831
y[1] (numeric) = 1.5190988868333696869198540023828
absolute error = 3e-31
relative error = 1.9748549788313225875008809610078e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 1.5182439132369261637337251546087
y[1] (numeric) = 1.5182439132369261637337251546084
absolute error = 3e-31
relative error = 1.9759670852912826391274495508588e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 1.5173884213966125906127627505561
y[1] (numeric) = 1.5173884213966125906127627505559
absolute error = 2e-31
relative error = 1.3180540801538402913003798122987e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=240.3MB, alloc=4.4MB, time=10.57
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 1.5165324121679207365795555947563
y[1] (numeric) = 1.5165324121679207365795555947561
absolute error = 2e-31
relative error = 1.3187980579597044963835029262668e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 1.5156758864068597589918577072318
y[1] (numeric) = 1.5156758864068597589918577072316
absolute error = 2e-31
relative error = 1.3195433258104436983049346377895e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 1.5148188449699553475335022998374
y[1] (numeric) = 1.5148188449699553475335022998371
absolute error = 3e-31
relative error = 1.9804348288652967452129932332432e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 1.5139612887142488676887834695646
y[1] (numeric) = 1.5139612887142488676887834695644
absolute error = 2e-31
relative error = 1.3210377404685992801264770230947e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 1.5131032184972965037011621343598
y[1] (numeric) = 1.5131032184972965037011621343596
absolute error = 2e-31
relative error = 1.3217868917007881217255936247491e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 1.5122446351771684010171532526755
y[1] (numeric) = 1.5122446351771684010171532526753
absolute error = 2e-31
relative error = 1.3225373418274273949485418100334e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 1.5113855396124478082162518827991
y[1] (numeric) = 1.5113855396124478082162518827989
absolute error = 2e-31
relative error = 1.3232890930747184390718965016565e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 1.510525932662230218427756151959
y[1] (numeric) = 1.5105259326622302184277561519589
absolute error = 1e-31
relative error = 6.6202107383720813848895112571740e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 1.5096658151861225102353457183156
y[1] (numeric) = 1.5096658151861225102353457183155
absolute error = 1e-31
relative error = 6.6239825393192252565027487061289e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 1.5088051880442420880702748211855
y[1] (numeric) = 1.5088051880442420880702748211853
absolute error = 2e-31
relative error = 1.3255521758859135125751642062115e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 1.5079440520972160220940395262352
y[1] (numeric) = 1.507944052097216022094039526235
absolute error = 2e-31
relative error = 1.3263091539891305595880727087318e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 1.5070824082061801875713792829054
y[1] (numeric) = 1.5070824082061801875713792829053
absolute error = 1e-31
relative error = 6.6353372221381041606188073296901e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 1.5062202572327784037344734209922
y[1] (numeric) = 1.506220257232778403734473420992
absolute error = 2e-31
relative error = 1.3278270494611403563077827214457e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 1.5053576000391615721391937221164
y[1] (numeric) = 1.5053576000391615721391937221162
absolute error = 2e-31
relative error = 1.3285879713550922427445229709387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 1.5044944374879868145142747097584
y[1] (numeric) = 1.5044944374879868145142747097582
absolute error = 2e-31
relative error = 1.3293502123805424376498007254647e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=244.1MB, alloc=4.4MB, time=10.74
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 1.5036307704424166101042638086145
y[1] (numeric) = 1.5036307704424166101042638086143
absolute error = 2e-31
relative error = 1.3301137748142355271791224452471e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 1.5027665997661179325071140302536
y[1] (numeric) = 1.5027665997661179325071140302534
absolute error = 2e-31
relative error = 1.3308786609386105951532898225939e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 1.5019019263232613860072823474097
y[1] (numeric) = 1.5019019263232613860072823474095
absolute error = 2e-31
relative error = 1.3316448730418171343839202564473e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 1.5010367509785203414051974237396
y[1] (numeric) = 1.5010367509785203414051974237394
absolute error = 2e-31
relative error = 1.3324124134177310118023151649081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 1.500171074597070071343960869506
y[1] (numeric) = 1.5001710745970700713439608695058
absolute error = 2e-31
relative error = 1.3331812843659704875959877474664e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 1.4993048980445868851341466964129
y[1] (numeric) = 1.4993048980445868851341466964127
absolute error = 2e-31
relative error = 1.3339514881919122885580429575466e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 1.4984382221872472630775641467215
y[1] (numeric) = 1.4984382221872472630775641467213
absolute error = 2e-31
relative error = 1.3347230272067077358554878003541e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 1.4975710478917269902908495728121
y[1] (numeric) = 1.4975710478917269902908495728119
absolute error = 2e-31
relative error = 1.3354959037272989274234396530284e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 1.4967033760252002900297535435273
y[1] (numeric) = 1.4967033760252002900297535435271
absolute error = 2e-31
relative error = 1.3362701200764349751930941360268e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 1.4958352074553389565149898529376
y[1] (numeric) = 1.4958352074553389565149898529375
absolute error = 1e-31
relative error = 6.6852283929134414868110608444234e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 1.4949665430503114872605136056084
y[1] (numeric) = 1.4949665430503114872605136056083
absolute error = 1e-31
relative error = 6.6891129079023548295889412126880e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 1.4940973836787822149050960500167
y[1] (numeric) = 1.4940973836787822149050960500166
absolute error = 1e-31
relative error = 6.6930041570502555481073432845296e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 1.4932277302099104385480643284723
y[1] (numeric) = 1.4932277302099104385480643284722
absolute error = 1e-31
relative error = 6.6969021520878468633459976460586e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 1.4923575835133495545900748077295
y[1] (numeric) = 1.4923575835133495545900748077294
absolute error = 1e-31
relative error = 6.7008069047752771461874989921973e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=10.91
x[1] = 1.057
y[1] (analytic) = 1.491486944459246187079789149445
y[1] (numeric) = 1.4914869444592461870797891494449
absolute error = 1e-31
relative error = 6.7047184269022227706483712875226e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 1.4906158139182393175673227737323
y[1] (numeric) = 1.4906158139182393175673227737322
absolute error = 1e-31
relative error = 6.7086367302879712486810293012141e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 1.4897441927614594144653358622922
y[1] (numeric) = 1.4897441927614594144653358622922
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 1.4888720818605275619186375399564
y[1] (numeric) = 1.4888720818605275619186375399564
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 1.4879994820875545881831743649656
y[1] (numeric) = 1.4879994820875545881831743649656
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 1.4871263943151401935152747489234
y[1] (numeric) = 1.4871263943151401935152747489234
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 1.486252819416372077572021417107
y[1] (numeric) = 1.486252819416372077572021417107
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 1.4853787582648250663236245086903
y[1] (numeric) = 1.4853787582648250663236245086903
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 1.4845042117345602384786684044334
y[1] (numeric) = 1.4845042117345602384786684044335
absolute error = 1e-31
relative error = 6.7362557283118507676351419797886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 1.4836291807001240514231058565195
y[1] (numeric) = 1.4836291807001240514231058565196
absolute error = 1e-31
relative error = 6.7402287108433683998086388726878e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 1.4827536660365474666738734814705
y[1] (numeric) = 1.4827536660365474666738734814706
absolute error = 1e-31
relative error = 6.7442085823536357128081307213277e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 1.4818776686193450748480031624552
y[1] (numeric) = 1.4818776686193450748480031624553
absolute error = 1e-31
relative error = 6.7481953549626867329184203053177e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 1.4810011893245142201481043918041
y[1] (numeric) = 1.4810011893245142201481043918041
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 1.4801242290285341243650930681759
y[1] (numeric) = 1.480124229028534124365093068176
absolute error = 1e-31
relative error = 6.7561896521100851759873028594755e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 1.4792467886083650103990427455749
y[1] (numeric) = 1.479246788608365010399042745575
absolute error = 1e-31
relative error = 6.7601972010415699205755285054721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=251.7MB, alloc=4.4MB, time=11.08
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 1.478368868941447225299034813293
y[1] (numeric) = 1.4783688689414472252990348132931
absolute error = 1e-31
relative error = 6.7642116998582871022911366742561e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 1.4774904709057003628228845668551
y[1] (numeric) = 1.4774904709057003628228845668552
absolute error = 1e-31
relative error = 6.7682331608338622790324272609996e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 1.4766115953795223855176206101673
y[1] (numeric) = 1.4766115953795223855176206101674
absolute error = 1e-31
relative error = 6.7722615962729014894625279819598e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 1.4757322432417887463215955083164
y[1] (numeric) = 1.4757322432417887463215955083165
absolute error = 1e-31
relative error = 6.7762970185110793429966689793193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 1.4748524153718515096891060888357
y[1] (numeric) = 1.4748524153718515096891060888358
absolute error = 1e-31
relative error = 6.7803394399152274114579353775902e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 1.4739721126495384722384022667445
y[1] (numeric) = 1.4739721126495384722384022667445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 1.4730913359551522829239637452787
y[1] (numeric) = 1.4730913359551522829239637452787
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 1.472210086169469562733924419963
y[1] (numeric) = 1.472210086169469562733924419963
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 1.471328364173740023913524788526
y[1] (numeric) = 1.4713283641737400239135247885261
absolute error = 1e-31
relative error = 6.7965793656236223680157250830761e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 1.4704461708496855887154731431336
y[1] (numeric) = 1.4704461708496855887154731431337
absolute error = 1e-31
relative error = 6.8006569694568144437787213668762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 1.4695635070794995076780967945048
y[1] (numeric) = 1.4695635070794995076780967945049
absolute error = 1e-31
relative error = 6.8047416473162506131568744137895e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 1.4686803737458454774321650496862
y[1] (numeric) = 1.4686803737458454774321650496863
absolute error = 1e-31
relative error = 6.8088334117893617369310934763081e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 1.4677967717318567580372661365885
y[1] (numeric) = 1.4677967717318567580372661365886
absolute error = 1e-31
relative error = 6.8129322754954537722773357250664e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 1.466912701921135289848620738834
y[1] (numeric) = 1.4669127019211352898486207388341
absolute error = 1e-31
relative error = 6.8170382510857989324048725373380e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 1.4660281651977508099152152740286
y[1] (numeric) = 1.4660281651977508099152152740286
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
memory used=255.5MB, alloc=4.4MB, time=11.25
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 1.4651431624462399679101385172507
y[1] (numeric) = 1.4651431624462399679101385172507
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 1.4642576945516054415940056393479
y[1] (numeric) = 1.4642576945516054415940056393479
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 1.4633717623993150518123541965422
y[1] (numeric) = 1.4633717623993150518123541965422
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 1.4624853668753008770278970738751
y[1] (numeric) = 1.4624853668753008770278970738752
absolute error = 1e-31
relative error = 6.8376752523450390920290684429994e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 1.4615985088659583673885178501657
y[1] (numeric) = 1.4615985088659583673885178501658
absolute error = 1e-31
relative error = 6.8418241667192951969190519777265e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 1.4607111892581454583318945164118
y[1] (numeric) = 1.4607111892581454583318945164119
absolute error = 1e-31
relative error = 6.8459802824394886471007551998038e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 1.4598234089391816837276379429376
y[1] (numeric) = 1.4598234089391816837276379429377
absolute error = 1e-31
relative error = 6.8501436124159413316621321893030e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 1.4589351687968472885578319530748
y[1] (numeric) = 1.4589351687968472885578319530749
absolute error = 1e-31
relative error = 6.8543141695917760884610231676826e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 1.4580464697193823411368623227636
y[1] (numeric) = 1.4580464697193823411368623227637
absolute error = 1e-31
relative error = 6.8584919669430110544386037348017e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 1.4571573125954858448714224861697
y[1] (numeric) = 1.4571573125954858448714224861698
absolute error = 1e-31
relative error = 6.8626770174786543418635569382506e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 1.4562676983143148495615841872392
y[1] (numeric) = 1.4562676983143148495615841872393
absolute error = 1e-31
relative error = 6.8668693342407990417768969051164e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 1.4553776277654835622438217760449
y[1] (numeric) = 1.455377627765483562243821776045
absolute error = 1e-31
relative error = 6.8710689303047185559129789099736e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 1.4544871018390624575768793068267
y[1] (numeric) = 1.4544871018390624575768793068268
absolute error = 1e-31
relative error = 6.8752758187789622583778643211189e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 1.4535961214255773877713700517847
y[1] (numeric) = 1.4535961214255773877713700517848
absolute error = 1e-31
relative error = 6.8794900128054514883718700077581e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=259.4MB, alloc=4.4MB, time=11.42
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 1.4527046874160086920639985009513
y[1] (numeric) = 1.4527046874160086920639985009514
absolute error = 1e-31
relative error = 6.8837115255595758752488206527319e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 1.4518128007017903057372953738456
y[1] (numeric) = 1.4518128007017903057372953738457
absolute error = 1e-31
relative error = 6.8879403702502899972102391480565e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 1.4509204621748088686857566231016
y[1] (numeric) = 1.4509204621748088686857566231017
absolute error = 1e-31
relative error = 6.8921765601202103749384550045357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 1.4500276727274028335292778638564
y[1] (numeric) = 1.4500276727274028335292778638564
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 1.4491344332523615732747761153897
y[1] (numeric) = 1.4491344332523615732747761153897
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 1.448240744642924488526891193319
y[1] (numeric) = 1.448240744642924488526891193319
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 1.4473466077927801142486595415738
y[1] (numeric) = 1.4473466077927801142486595415738
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 1.4464520235960652260730537434014
y[1] (numeric) = 1.4464520235960652260730537434014
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 1.4455569929473639461662813997896
y[1] (numeric) = 1.4455569929473639461662813997896
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 1.4446615167417068486437375119336
y[1] (numeric) = 1.4446615167417068486437375119336
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 1.4437655958745700645395049517196
y[1] (numeric) = 1.4437655958745700645395049517197
absolute error = 1e-31
relative error = 6.9263321058308203300699198490099e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 1.4428692312418743863302980506507
y[1] (numeric) = 1.4428692312418743863302980506508
absolute error = 1e-31
relative error = 6.9306350038340078176969361692886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 1.4419724237399843720147447831956
y[1] (numeric) = 1.4419724237399843720147447831957
absolute error = 1e-31
relative error = 6.9349453813155543246132209375466e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 1.4410751742657074487489034652048
y[1] (numeric) = 1.441075174265707448748903465205
absolute error = 2e-31
relative error = 1.3878526503789712867736902998397e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 1.4401774837162930160389103318025
y[1] (numeric) = 1.4401774837162930160389103318027
absolute error = 2e-31
relative error = 1.3887177258452326404881180156810e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=263.2MB, alloc=4.4MB, time=11.59
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 1.4392793529894315484916548020305
y[1] (numeric) = 1.4392793529894315484916548020307
absolute error = 2e-31
relative error = 1.3895843053997355260805819738207e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 1.4383807829832536981243796794962
y[1] (numeric) = 1.4383807829832536981243796794964
absolute error = 2e-31
relative error = 1.3904523917873316967809830323096e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 1.4374817745963293962341039793483
y[1] (numeric) = 1.4374817745963293962341039793485
absolute error = 2e-31
relative error = 1.3913219877599044946721548803339e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 1.4365823287276669548277665120828
y[1] (numeric) = 1.436582328727666954827766512083
absolute error = 2e-31
relative error = 1.3921930960763893576490198767896e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 1.4356824462767121676139887939611
y[1] (numeric) = 1.4356824462767121676139887939613
absolute error = 2e-31
relative error = 1.3930657195027943979804297604077e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 1.4347821281433474105573562922021
y[1] (numeric) = 1.4347821281433474105573562922023
absolute error = 2e-31
relative error = 1.3939398608122210527561620584703e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 1.4338813752278907419961174505922
y[1] (numeric) = 1.4338813752278907419961174505924
absolute error = 2e-31
relative error = 1.3948155227848848065028044145169e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 1.4329801884310950023242003777392
y[1] (numeric) = 1.4329801884310950023242003777394
absolute error = 2e-31
relative error = 1.3956927082081359862535266938253e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 1.4320785686541469132384475158786
y[1] (numeric) = 1.4320785686541469132384475158787
absolute error = 1e-31
relative error = 6.9828570993824031467900732147001e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 1.4311765167986661765519690429217
y[1] (numeric) = 1.4311765167986661765519690429218
absolute error = 1e-31
relative error = 6.9872583029580071216005955518907e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 1.4302740337667045725745161943185
y[1] (numeric) = 1.4302740337667045725745161943186
absolute error = 1e-31
relative error = 6.9916671658118936247603070717811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 1.4293711204607450580607761242855
y[1] (numeric) = 1.4293711204607450580607761242856
absolute error = 1e-31
relative error = 6.9960837020245581906766420231201e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 1.428467777783700863727490358029
y[1] (numeric) = 1.4284677777837008637274903580291
absolute error = 1e-31
relative error = 7.0005079257126959273984507207961e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 1.4275640066389145913402993177705
y[1] (numeric) = 1.4275640066389145913402993177705
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=267.0MB, alloc=4.4MB, time=11.76
x[1] = 1.13
y[1] (analytic) = 1.4266598079301573103712158356535
y[1] (numeric) = 1.4266598079301573103712158356536
absolute error = 1e-31
relative error = 7.0093794921638066615819049640520e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 1.4257551825616276542276309959846
y[1] (numeric) = 1.4257551825616276542276309959847
absolute error = 1e-31
relative error = 7.0138268633421252201925500128695e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 1.4248501314379509160537560777255
y[1] (numeric) = 1.4248501314379509160537560777256
absolute error = 1e-31
relative error = 7.0182819788268222984422950917879e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 1.4239446554641781441054047957204
y[1] (numeric) = 1.4239446554641781441054047957205
absolute error = 1e-31
relative error = 7.0227448529171910320117844007421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 1.4230387555457852366990204658005
y[1] (numeric) = 1.4230387555457852366990204658006
absolute error = 1e-31
relative error = 7.0272154999493668217244788875054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 1.4221324325886720367358531446633
y[1] (numeric) = 1.4221324325886720367358531446634
absolute error = 1e-31
relative error = 7.0316939342964357696292048517794e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 1.421225687499161425802192220273
y[1] (numeric) = 1.4212256874991614258021922202732
absolute error = 2e-31
relative error = 1.4072360340737086992936859380054e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 1.4203185211839984178465603524761
y[1] (numeric) = 1.4203185211839984178465603524763
absolute error = 2e-31
relative error = 1.4081348445226008684098749347906e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 1.4194109345503492524347750865601
y[1] (numeric) = 1.4194109345503492524347750865603
absolute error = 2e-31
relative error = 1.4090352211028821900083804493671e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 1.4185029285058004875837848846205
y[1] (numeric) = 1.4185029285058004875837848846206
absolute error = 1e-31
relative error = 7.0496858335947442387339769893179e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 1.4175945039583580921751867408226
y[1] (numeric) = 1.4175945039583580921751867408227
absolute error = 1e-31
relative error = 7.0542034214134837592823953373386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 1.4166856618164465379493329669665
y[1] (numeric) = 1.4166856618164465379493329669666
absolute error = 1e-31
relative error = 7.0587288835677184430034095179349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 1.4157764029889078910809351541712
y[1] (numeric) = 1.4157764029889078910809351541713
absolute error = 1e-31
relative error = 7.0632622346922577392548361934971e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 1.4148667283850009033370737349995
y[1] (numeric) = 1.4148667283850009033370737349996
absolute error = 1e-31
relative error = 7.0678034894597431454682401623427e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 1.4139566389144001028185219879378
y[1] (numeric) = 1.4139566389144001028185219879379
absolute error = 1e-31
relative error = 7.0723526625807601308968183452155e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=270.8MB, alloc=4.4MB, time=11.93
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 1.4130461354871948842852937428306
y[1] (numeric) = 1.4130461354871948842852937428308
absolute error = 2e-31
relative error = 1.4153819537607900911303358773067e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 1.4121352190138885990673244616476
y[1] (numeric) = 1.4121352190138885990673244616477
absolute error = 1e-31
relative error = 7.0814748229161248866063197101609e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 1.4112238904053976445611957838243
y[1] (numeric) = 1.4112238904053976445611957838244
absolute error = 1e-31
relative error = 7.0860478397423763117562379875896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 1.4103121505730505533138140393782
y[1] (numeric) = 1.4103121505730505533138140393783
absolute error = 1e-31
relative error = 7.0906288341461932546278068982216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 1.409400000428587081693953646044
y[1] (numeric) = 1.4094000004285870816939536460441
absolute error = 1e-31
relative error = 7.0952178210295737903377339847774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 1.4084874408841572981525767188099
y[1] (numeric) = 1.40848744088415729815257671881
absolute error = 1e-31
relative error = 7.0998148153331398649116925306073e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 1.4075744728523206710728406314584
y[1] (numeric) = 1.4075744728523206710728406314585
absolute error = 1e-31
relative error = 7.1044198320362520194779889100762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 1.4066610972460451562107056800289
y[1] (numeric) = 1.406661097246045156210705680029
absolute error = 1e-31
relative error = 7.1090328861571245209594549895365e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 1.405747314978706283727055407518
y[1] (numeric) = 1.405747314978706283727055407518
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 1.4048331269640862448122425576204
y[1] (numeric) = 1.4048331269640862448122425576204
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 1.4039185341163729779039740328903
y[1] (numeric) = 1.4039185341163729779039740328903
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 1.4030035373501592544994486393596
y[1] (numeric) = 1.4030035373501592544994486393596
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 1.4020881375804417645626618054011
y[1] (numeric) = 1.402088137580441764562661805401
absolute error = 1e-31
relative error = 7.1322192463997447511189905672920e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 1.4011723357226202015277918674544
y[1] (numeric) = 1.4011723357226202015277918674544
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 1.4002561326924963468995829191534
y[1] (numeric) = 1.4002561326924963468995829191533
absolute error = 1e-31
relative error = 7.1415505824433713749017002345993e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=274.6MB, alloc=4.4MB, time=12.11
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 1.399339529406273154451639623394
y[1] (numeric) = 1.3993395294062731544516396233939
absolute error = 1e-31
relative error = 7.1462284812628052419472603003280e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 1.3984225267805538340235497889738
y[1] (numeric) = 1.3984225267805538340235497889737
absolute error = 1e-31
relative error = 7.1509145544315454110209699311980e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 1.397505125732340934917750914602
y[1] (numeric) = 1.3975051257323409349177509146019
absolute error = 1e-31
relative error = 7.1556088173627662000787652550053e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 1.3965873271790354288970573033388
y[1] (numeric) = 1.3965873271790354288970573033387
absolute error = 1e-31
relative error = 7.1603112855097893910377114035920e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 1.3956691320384357927837647498593
y[1] (numeric) = 1.3956691320384357927837647498592
absolute error = 1e-31
relative error = 7.1650219743662043677714150244711e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 1.3947505412287370906612502013618
y[1] (numeric) = 1.3947505412287370906612502013617
absolute error = 1e-31
relative error = 7.1697408994659886823884548551207e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 1.3938315556685300556789841904433
y[1] (numeric) = 1.3938315556685300556789841904432
absolute error = 1e-31
relative error = 7.1744680763836290515234876214155e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 1.3929121762768001714618742348546
y[1] (numeric) = 1.3929121762768001714618742348545
absolute error = 1e-31
relative error = 7.1792035207342427843785826872720e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 1.3919924039729267531248577947136
y[1] (numeric) = 1.3919924039729267531248577947135
absolute error = 1e-31
relative error = 7.1839472481736996442602750428709e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 1.3910722396766820278936637725082
y[1] (numeric) = 1.3910722396766820278936637725081
absolute error = 1e-31
relative error = 7.1886992743987441453658025968796e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 1.3901516843082302153326619350505
y[1] (numeric) = 1.3901516843082302153326619350504
absolute error = 1e-31
relative error = 7.1934596151471182865800105584842e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 1.3892307387881266071807200294562
y[1] (numeric) = 1.3892307387881266071807200294561
absolute error = 1e-31
relative error = 7.1982282861976847240524631835944e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 1.3883094040373166467959887572152
y[1] (numeric) = 1.3883094040373166467959887572151
absolute error = 1e-31
relative error = 7.2030053033705503843324015435671e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 1.3873876809771350082105351614918
y[1] (numeric) = 1.3873876809771350082105351614917
absolute error = 1e-31
relative error = 7.2077906825271905198473254828286e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=278.4MB, alloc=4.4MB, time=12.27
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 1.3864655705293046747957453729448
y[1] (numeric) = 1.3864655705293046747957453729448
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 1.3855430736159360175394180485876
y[1] (numeric) = 1.3855430736159360175394180485875
absolute error = 1e-31
relative error = 7.2173865904452842993201790859978e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 1.3846201911595258729354702265172
y[1] (numeric) = 1.3846201911595258729354702265172
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 1.3836969240829566204871777067319
y[1] (numeric) = 1.3836969240829566204871777067319
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 1.3827732733094952598248724547172
y[1] (numeric) = 1.3827732733094952598248724547172
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 1.3818492397627924874390199100282
y[1] (numeric) = 1.3818492397627924874390199100281
absolute error = 1e-31
relative error = 7.2366794526127862777240692499498e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 1.3809248243668817730295994667128
y[1] (numeric) = 1.3809248243668817730295994667127
absolute error = 1e-31
relative error = 7.2415238132783518590352837949839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 1.3800000280461784354727117761191
y[1] (numeric) = 1.380000028046178435472711776119
absolute error = 1e-31
relative error = 7.2463766643237877258909443776661e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 1.379074851725478718405336905402
y[1] (numeric) = 1.3790748517254787184053369054019
absolute error = 1e-31
relative error = 7.2512380219885404414177831234361e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 1.378149296329958865429167766894
y[1] (numeric) = 1.378149296329958865429167766894
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 1.3772233627851741949344436144305
y[1] (numeric) = 1.3772233627851741949344436144305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 1.3762970520170581745447087827173
y[1] (numeric) = 1.3762970520170581745447087827173
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 1.3753703649519214951834222249062
y[1] (numeric) = 1.3753703649519214951834222249062
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 1.3744433025164511447633437816912
y[1] (numeric) = 1.3744433025164511447633437816912
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 1.3735158656377094814996234924617
y[1] (numeric) = 1.3735158656377094814996234924617
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=282.2MB, alloc=4.4MB, time=12.44
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 1.3725880552431333068475206353461
y[1] (numeric) = 1.3725880552431333068475206353461
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 1.3716598722605329380656795583505
y[1] (numeric) = 1.3716598722605329380656795583505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 1.3707313176180912804058897382378
y[1] (numeric) = 1.3707313176180912804058897382379
absolute error = 1e-31
relative error = 7.2953757395555236067434662934480e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 1.3698023922443628989302578773116
y[1] (numeric) = 1.3698023922443628989302578773117
absolute error = 1e-31
relative error = 7.3003230660266447340663577323321e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 1.3688730970682730899567202208534
y[1] (numeric) = 1.3688730970682730899567202208535
absolute error = 1e-31
relative error = 7.3052790805934335812077824193761e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 1.3679434330191169521338236496256
y[1] (numeric) = 1.3679434330191169521338236496257
absolute error = 1e-31
relative error = 7.3102438000155598679558275548812e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 1.36701340102655845714570447258
y[1] (numeric) = 1.3670134010265584571457044725801
absolute error = 1e-31
relative error = 7.3152172410969064935968460971471e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 1.3660830020206295200481942147168
y[1] (numeric) = 1.3660830020206295200481942147168
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 1.3651522369317290692369820639096
y[1] (numeric) = 1.3651522369317290692369820639096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 1.3642211066906221160487640084583
y[1] (numeric) = 1.3642211066906221160487640084583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 1.3632896122284388239963090641411
y[1] (numeric) = 1.3632896122284388239963090641411
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 1.3623577544766735776383733556231
y[1] (numeric) = 1.3623577544766735776383733556231
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 1.3614255343671840510853931822298
y[1] (numeric) = 1.3614255343671840510853931822298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 1.3604929528321902761418885623146
y[1] (numeric) = 1.3604929528321902761418885623145
absolute error = 1e-31
relative error = 7.3502769559979102267842832625336e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 1.3595600108042737100865091137382
y[1] (numeric) = 1.3595600108042737100865091137381
absolute error = 1e-31
relative error = 7.3553207806430764809534184598856e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=286.1MB, alloc=4.4MB, time=12.61
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 1.3586267092163763030906544903386
y[1] (numeric) = 1.3586267092163763030906544903385
absolute error = 1e-31
relative error = 7.3603734801943964999653498328749e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 1.3576930490017995652766019556908
y[1] (numeric) = 1.3576930490017995652766019556908
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 1.3567590310942036334160740359532
y[1] (numeric) = 1.3567590310942036334160740359532
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 1.3558246564276063372701795531534
y[1] (numeric) = 1.3558246564276063372701795531534
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 1.3548899259363822655716616988964
y[1] (numeric) = 1.3548899259363822655716616988964
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 1.3539548405552618316503871661676
y[1] (numeric) = 1.3539548405552618316503871661676
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 1.3530194012193303387030107136648
y[1] (numeric) = 1.3530194012193303387030107136647
absolute error = 1e-31
relative error = 7.3908770199363582074053793168680e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 1.3520836088640270447077498929158
y[1] (numeric) = 1.3520836088640270447077498929157
absolute error = 1e-31
relative error = 7.3959923294992439586336449860856e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 1.3511474644251442269852050233301
y[1] (numeric) = 1.35114746442514422698520502333
absolute error = 1e-31
relative error = 7.4011166532844545098535987220031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 1.3502109688388262464061598542857
y[1] (numeric) = 1.3502109688388262464061598542856
absolute error = 1e-31
relative error = 7.4062500089152313159672456153393e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 1.3492741230415686112472987063726
y[1] (numeric) = 1.3492741230415686112472987063725
absolute error = 1e-31
relative error = 7.4113924140616744859477984421909e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 1.3483369279702170406957762359984
y[1] (numeric) = 1.3483369279702170406957762359982
absolute error = 2e-31
relative error = 1.4833087772881774287128118313669e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 1.3473993845619665280035763187075
y[1] (numeric) = 1.3473993845619665280035763187074
absolute error = 1e-31
relative error = 7.4217044438171203155599627681458e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 1.3464614937543604032925968967778
y[1] (numeric) = 1.3464614937543604032925968967777
absolute error = 1e-31
relative error = 7.4268741040019183494776472196703e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.4MB, time=12.79
x[1] = 1.218
y[1] (analytic) = 1.3455232564852893960113979859304
y[1] (numeric) = 1.3455232564852893960113979859303
absolute error = 1e-31
relative error = 7.4320528848542648633226639839204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 1.3445846736929906970445503843283
y[1] (numeric) = 1.3445846736929906970445503843282
absolute error = 1e-31
relative error = 7.4372408042807292292802484827670e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 1.3436457463160470204755229744352
y[1] (numeric) = 1.3436457463160470204755229744351
absolute error = 1e-31
relative error = 7.4424378802356135937019274632379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 1.3427064752933856650040468547703
y[1] (numeric) = 1.3427064752933856650040468547702
absolute error = 1e-31
relative error = 7.4476441307211004355921523987542e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 1.3417668615642775750188948841163
y[1] (numeric) = 1.3417668615642775750188948841162
absolute error = 1e-31
relative error = 7.4528595737874006658351141590368e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 1.3408269060683364013270155653223
y[1] (numeric) = 1.3408269060683364013270155653223
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 1.3398866097455175615399605394907
y[1] (numeric) = 1.3398866097455175615399605394907
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 1.3389459735361173001185453040408
y[1] (numeric) = 1.3389459735361173001185453040407
absolute error = 1e-31
relative error = 7.4685612396968425793261735101685e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 1.3380049983807717480766831099108
y[1] (numeric) = 1.3380049983807717480766831099108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 1.3370636852204559823453323339869
y[1] (numeric) = 1.3370636852204559823453323339869
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 1.3361220349964830847974979627314
y[1] (numeric) = 1.3361220349964830847974979627314
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 1.3351800486505032009352281619323
y[1] (numeric) = 1.3351800486505032009352281619323
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 1.3342377271245025982395472454977
y[1] (numeric) = 1.3342377271245025982395472454977
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 1.3332950713608027241842666932846
y[1] (numeric) = 1.3332950713608027241842666932847
absolute error = 1e-31
relative error = 7.5002152297718213893629560151307e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 1.3323520823020592639146162040725
y[1] (numeric) = 1.3323520823020592639146162040725
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=293.7MB, alloc=4.4MB, time=12.95
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 1.3314087608912611975916371049707
y[1] (numeric) = 1.3314087608912611975916371049707
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 1.3304651080717298574032807727899
y[1] (numeric) = 1.33046510807172985740328077279
absolute error = 1e-31
relative error = 7.5161685483756905121377958576874e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 1.3295211247871179842431550561994
y[1] (numeric) = 1.3295211247871179842431550561995
absolute error = 1e-31
relative error = 7.5215051596876230002887777392341e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 1.3285768119814087840578620198444
y[1] (numeric) = 1.3285768119814087840578620198445
absolute error = 1e-31
relative error = 7.5268512214105489870777516822702e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 1.3276321705989149838638706630091
y[1] (numeric) = 1.3276321705989149838638706630092
absolute error = 1e-31
relative error = 7.5322067523332524508403501980601e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 1.326687201584277887434868595872
y[1] (numeric) = 1.326687201584277887434868595872
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 1.3257419058824664306605369859242
y[1] (numeric) = 1.3257419058824664306605369859242
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 1.3247962844387762365776934156974
y[1] (numeric) = 1.3247962844387762365776934156974
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 1.3238503381988286700747476205784
y[1] (numeric) = 1.3238503381988286700747476205784
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 1.3229040681085698922704154021776
y[1] (numeric) = 1.3229040681085698922704154021776
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 1.321957475114269914567636338457
y[1] (numeric) = 1.321957475114269914567636338457
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 1.3210105601625216523836412366225
y[1] (numeric) = 1.3210105601625216523836412366225
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 1.3200633242002399785571155986333
y[1] (numeric) = 1.3200633242002399785571155986333
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 1.3191157681746607764334056920865
y[1] (numeric) = 1.3191157681746607764334056920865
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 1.3181678930333399926287141411918
y[1] (numeric) = 1.3181678930333399926287141411918
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=297.5MB, alloc=4.4MB, time=13.12
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 1.3172196997241526894742322735619
y[1] (numeric) = 1.3172196997241526894742322735619
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 1.316271189195292097141156778607
y[1] (numeric) = 1.316271189195292097141156778607
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 1.315322362395268665447538552438
y[1] (numeric) = 1.315322362395268665447538552438
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 1.3143732202729091153479119223505
y[1] (numeric) = 1.3143732202729091153479119223505
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 1.3134237637773554901066527611811
y[1] (numeric) = 1.3134237637773554901066527611811
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 1.3124739938580642061560143180992
y[1] (numeric) = 1.3124739938580642061560143180992
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 1.3115239114648051036397899077194
y[1] (numeric) = 1.3115239114648051036397899077194
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 1.310573517547660496643551913792
y[1] (numeric) = 1.310573517547660496643551913792
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 1.309622813057024223112416877154
y[1] (numeric) = 1.309622813057024223112416877154
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 1.3086717989436006944572867500969
y[1] (numeric) = 1.3086717989436006944572867500968
absolute error = 1e-31
relative error = 7.6413352897741827198664127559885e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 1.3077204761584039448505167108291
y[1] (numeric) = 1.307720476158403944850516710829
absolute error = 1e-31
relative error = 7.6468941049055668437272349035508e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 1.3067688456527566802119602422881
y[1] (numeric) = 1.3067688456527566802119602422881
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 1.3058169083782893268863424891765
y[1] (numeric) = 1.3058169083782893268863424891764
absolute error = 1e-31
relative error = 7.6580414419806583310417827282506e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 1.3048646652869390800129132157692
y[1] (numeric) = 1.3048646652869390800129132157692
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 1.3039121173309489515883309947615
memory used=301.3MB, alloc=4.5MB, time=13.29
y[1] (numeric) = 1.3039121173309489515883309947614
absolute error = 1e-31
relative error = 7.6692285216810182163974333397943e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 1.3029592654628668182237305641911
y[1] (numeric) = 1.3029592654628668182237305641911
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 1.3020061106355444685969255952916
y[1] (numeric) = 1.3020061106355444685969255952916
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 1.301052653802136650600699418991
y[1] (numeric) = 1.301052653802136650600699418991
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 1.3000988959161001181881365626884
y[1] (numeric) = 1.3000988959161001181881365626884
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 1.2991448379311926779159482518965
y[1] (numeric) = 1.2991448379311926779159482518965
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 1.2981904808014722351867453333445
y[1] (numeric) = 1.2981904808014722351867453333445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 1.2972358254812958401912123771904
y[1] (numeric) = 1.2972358254812958401912123771904
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 1.296280872925318733551137016088
y[1] (numeric) = 1.2962808729253187335511370160879
absolute error = 1e-31
relative error = 7.7143775001732355897976371336258e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 1.2953256240884933916642488779995
y[1] (numeric) = 1.2953256240884933916642488779995
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 1.294370079926068571751822767837
y[1] (numeric) = 1.294370079926068571751822767837
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 1.2934142413935883566100010502475
y[1] (numeric) = 1.2934142413935883566100010502475
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 1.2924581094468911990657904821418
y[1] (numeric) = 1.2924581094468911990657904821418
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 1.2915016850421089661386890388894
y[1] (numeric) = 1.2915016850421089661386890388894
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 1.2905449691356659829088985724734
y[1] (numeric) = 1.2905449691356659829088985724733
absolute error = 1e-31
relative error = 7.7486645093021704795117625971587e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.5MB, time=13.46
x[1] = 1.277
y[1] (analytic) = 1.289587962684278076093079433313
y[1] (numeric) = 1.2895879626842780760930794333129
absolute error = 1e-31
relative error = 7.7544148126080475546505513524294e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 1.2886306666449516173286034799198
y[1] (numeric) = 1.2886306666449516173286034799197
absolute error = 1e-31
relative error = 7.7601754007886246628463619125171e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 1.2876730819749825661672621920538
y[1] (numeric) = 1.2876730819749825661672621920537
absolute error = 1e-31
relative error = 7.7659462948952784333975368170839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 1.2867152096319555127793868935926
y[1] (numeric) = 1.2867152096319555127793868935925
absolute error = 1e-31
relative error = 7.7717275160370113822297717897115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 1.2857570505737427203693383809136
y[1] (numeric) = 1.2857570505737427203693383809135
absolute error = 1e-31
relative error = 7.7775190853806362891257451737303e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 1.2847986057585031673033235412189
y[1] (numeric) = 1.2847986057585031673033235412188
absolute error = 1e-31
relative error = 7.7833210241509612715083449938659e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 1.2838398761446815889504968329071
y[1] (numeric) = 1.283839876144681588950496832907
absolute error = 1e-31
relative error = 7.7891333536309755577722515814698e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 1.2828808626910075192383047868113
y[1] (numeric) = 1.2828808626910075192383047868112
absolute error = 1e-31
relative error = 7.7949560951620359631731557280320e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 1.2819215663564943319230319728772
y[1] (numeric) = 1.2819215663564943319230319728771
absolute error = 1e-31
relative error = 7.8007892701440540712984925789167e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 1.2809619881004382815765071616572
y[1] (numeric) = 1.2809619881004382815765071616572
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 1.280002128882417544289928693834
y[1] (numeric) = 1.2800021288824175442899286938339
absolute error = 1e-31
relative error = 7.8124870063545116239491715174147e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 1.2790419896622912580957683538666
y[1] (numeric) = 1.2790419896622912580957683538665
absolute error = 1e-31
relative error = 7.8183516106772426495605001361269e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 1.2780815714001985631087133257782
y[1] (numeric) = 1.2780815714001985631087133257782
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 1.2771208750565576413866060900612
y[1] (numeric) = 1.2771208750565576413866060900611
absolute error = 1e-31
relative error = 7.8301123999379834041687635656909e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 1.2761599015920647565123424006801
y[1] (numeric) = 1.27615990159206475651234240068
absolute error = 1e-31
relative error = 7.8360086283267220911066105692207e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=309.0MB, alloc=4.5MB, time=13.63
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 1.2751986519676932928976877601955
y[1] (numeric) = 1.2751986519676932928976877601955
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 1.2742371271446927948099730891114
y[1] (numeric) = 1.2742371271446927948099730891114
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 1.2732753280845880051226305626697
y[1] (numeric) = 1.2732753280845880051226305626697
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 1.2723132557491779037905308644779
y[1] (numeric) = 1.2723132557491779037905308644779
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 1.2713509111005347460510833815503
y[1] (numeric) = 1.2713509111005347460510833815503
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 1.270388295101003100352061139584
y[1] (numeric) = 1.2703882951010031003520611395841
absolute error = 1e-31
relative error = 7.8716090494244856697524799527134e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 1.2694254087131988860071125505643
y[1] (numeric) = 1.2694254087131988860071125505644
absolute error = 1e-31
relative error = 7.8775798336484209068311410454278e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 1.2684622529000084105799223171061
y[1] (numeric) = 1.2684622529000084105799223171062
absolute error = 1e-31
relative error = 7.8835613571768539102084091456030e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 1.2674988286245874069979841092929
y[1] (numeric) = 1.2674988286245874069979841092929
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 1.2665351368503600703969479001576
y[1] (numeric) = 1.2665351368503600703969479001577
absolute error = 1e-31
relative error = 7.8955567114135977977789307225015e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 1.2655711785410180946965051153801
y[1] (numeric) = 1.2655711785410180946965051153802
absolute error = 1e-31
relative error = 7.9015705869094210171403882566483e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 1.2646069546605197089087750212337
y[1] (numeric) = 1.2646069546605197089087750212338
absolute error = 1e-31
relative error = 7.9075952912851667428296631362266e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 1.263642466173088713180156042316
y[1] (numeric) = 1.2636424661730887131801560423161
absolute error = 1e-31
relative error = 7.9136308470898126813145864265523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 1.2626777140432135145676059671309
y[1] (numeric) = 1.262677714043213514567605967131
absolute error = 1e-31
relative error = 7.9196772769347878983967246815021e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 1.2617126992356461625503152651623
y[1] (numeric) = 1.2617126992356461625503152651624
memory used=312.8MB, alloc=4.5MB, time=13.80
absolute error = 1e-31
relative error = 7.9257346034941755431236671764534e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 1.2607474227154013842777380036848
y[1] (numeric) = 1.260747422715401384277738003685
absolute error = 2e-31
relative error = 1.5863605699009832695332810351021e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 1.2597818854477556195549451162013
y[1] (numeric) = 1.2597818854477556195549451162014
absolute error = 1e-31
relative error = 7.9378820377670129065441839468969e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 1.258816088398246055566265037072
y[1] (numeric) = 1.2588160883982460555662650370721
absolute error = 1e-31
relative error = 7.9439721911437347385958321141752e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 1.2578500325326696613381769786162
y[1] (numeric) = 1.2578500325326696613381769786163
absolute error = 1e-31
relative error = 7.9500733325618241351132875727626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 1.256883718817082221942422387711
y[1] (numeric) = 1.2568837188170822219424223877111
absolute error = 1e-31
relative error = 7.9561854850117027975698451567605e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 1.2559171482177973724403003786957
y[1] (numeric) = 1.2559171482177973724403003786958
absolute error = 1e-31
relative error = 7.9623086715476792683925490595107e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 1.2549503217013856315691131982065
y[1] (numeric) = 1.2549503217013856315691131982066
absolute error = 1e-31
relative error = 7.9684429152881571582451432453887e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 1.2539832402346734351717280354146
y[1] (numeric) = 1.2539832402346734351717280354147
absolute error = 1e-31
relative error = 7.9745882394158441733050762965783e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 1.2530159047847421693702217480263
y[1] (numeric) = 1.2530159047847421693702217480263
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 1.2520483163189272034845753303184
y[1] (numeric) = 1.2520483163189272034845753303185
absolute error = 1e-31
relative error = 7.9869122218864566729683428299622e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 1.2510804758048169226973852044361
y[1] (numeric) = 1.2510804758048169226973852044361
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 1.2501123842102517604655586701584
y[1] (numeric) = 1.2501123842102517604655586701584
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 1.2491440425033232306799611013583
y[1] (numeric) = 1.2491440425033232306799611013583
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 1.2481754516523729595739827294274
y[1] (numeric) = 1.2481754516523729595739827294273
absolute error = 1e-31
relative error = 8.0116941787003527258441505959961e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=316.6MB, alloc=4.5MB, time=13.98
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 1.247206612625991717381993105018
y[1] (numeric) = 1.247206612625991717381993105018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 1.2462375263930184497486515795692
y[1] (numeric) = 1.2462375263930184497486515795692
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 1.245268193922539308890042397223
y[1] (numeric) = 1.245268193922539308890042397223
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 1.2442986161838866845076032359169
y[1] (numeric) = 1.2442986161838866845076032359169
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 1.2433287941466382344558162836429
y[1] (numeric) = 1.2433287941466382344558162836429
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 1.2423587287806159151646311821005
y[1] (numeric) = 1.2423587287806159151646311821005
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 1.2413884210558850118175894152408
y[1] (numeric) = 1.2413884210558850118175894152408
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 1.2404178719427531682866199644962
y[1] (numeric) = 1.2404178719427531682866199644962
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 1.2394470824117694168244762958188
y[1] (numeric) = 1.2394470824117694168244762958188
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 1.2384760534337232075157849860106
y[1] (numeric) = 1.2384760534337232075157849860106
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 1.2375047859796434374876765372148
y[1] (numeric) = 1.2375047859796434374876765372148
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 1.2365332810207974798809691688573
y[1] (numeric) = 1.2365332810207974798809691688574
absolute error = 1e-31
relative error = 8.0871256386602732832025513641822e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 1.2355615395286902125828766157741
y[1] (numeric) = 1.2355615395286902125828766157742
absolute error = 1e-31
relative error = 8.0934859819402756398614830804107e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 1.2345895624750630467222111997338
y[1] (numeric) = 1.2345895624750630467222111997339
absolute error = 1e-31
relative error = 8.0998578830946384074808345839964e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 1.2336173508318929549280536790744
y[1] (numeric) = 1.2336173508318929549280536790744
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=320.4MB, alloc=4.5MB, time=14.14
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 1.2326449055713914993528616177001
y[1] (numeric) = 1.2326449055713914993528616177001
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 1.2316722276660038594609882502518
y[1] (numeric) = 1.2316722276660038594609882502519
absolute error = 1e-31
relative error = 8.1190431799780169168369383788683e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 1.2306993180884078595835840548494
y[1] (numeric) = 1.2306993180884078595835840548495
absolute error = 1e-31
relative error = 8.1254615591504255106988035378502e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 1.2297261778115129962408534784235
y[1] (numeric) = 1.2297261778115129962408534784236
absolute error = 1e-31
relative error = 8.1318916198047756663362783576092e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 1.2287528078084594652326394923001
y[1] (numeric) = 1.2287528078084594652326394923003
absolute error = 2e-31
relative error = 1.6276666773743512338791709855095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 1.2277792090526171884983088873713
y[1] (numeric) = 1.2277792090526171884983088873715
absolute error = 2e-31
relative error = 1.6289573770704638496895841931710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 1.2268053825175848407469114488854
y[1] (numeric) = 1.2268053825175848407469114488856
absolute error = 2e-31
relative error = 1.6302504280635826977592492582352e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 1.225831329177188875858586380618
y[1] (numeric) = 1.2258313291771888758585863806182
absolute error = 2e-31
relative error = 1.6315458353821435310345863733707e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 1.224857050005482553058189576934
y[1] (numeric) = 1.2248570500054825530581895769342
absolute error = 2e-31
relative error = 1.6328436040687750854721924051698e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 1.2238825459767449628621155690343
y[1] (numeric) = 1.2238825459767449628621155690345
absolute error = 2e-31
relative error = 1.6341437391803462105613525763872e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 1.2229078180654800527992881984827
y[1] (numeric) = 1.2229078180654800527992881984829
absolute error = 2e-31
relative error = 1.6354462457880131840611090379175e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 1.2219328672464156529072942969415
y[1] (numeric) = 1.2219328672464156529072942969417
absolute error = 2e-31
relative error = 1.6367511289772672117725397446071e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 1.2209576944945025010046348759012
y[1] (numeric) = 1.2209576944945025010046348759015
absolute error = 3e-31
relative error = 2.4570875907719731697565324902968e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 1.2199823007849132677400685540719
y[1] (numeric) = 1.2199823007849132677400685540722
absolute error = 3e-31
relative error = 2.4590520682716932905910938766135e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.5MB, time=14.32
x[1] = 1.35
y[1] (analytic) = 1.2190066870930415814200221730106
y[1] (numeric) = 1.2190066870930415814200221730109
absolute error = 3e-31
relative error = 2.4610201336582354571266789408816e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 1.2180308543945010526150437734946
y[1] (numeric) = 1.2180308543945010526150437734948
absolute error = 2e-31
relative error = 1.6419945297643760915926763609711e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 1.2170548036651242985462733261044
y[1] (numeric) = 1.2170548036651242985462733261046
absolute error = 2e-31
relative error = 1.6433113726490044310467401015129e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 1.2160785358809619672529068294664
y[1] (numeric) = 1.2160785358809619672529068294666
absolute error = 2e-31
relative error = 1.6446306229318840588018057534853e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 1.2151020520182817615416296086076
y[1] (numeric) = 1.2151020520182817615416296086078
absolute error = 2e-31
relative error = 1.6459522858001963877862833397146e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 1.21412535305356746271899486391
y[1] (numeric) = 1.2141253530535674627189948639102
absolute error = 2e-31
relative error = 1.6472763664558445182653188753302e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 1.2131484399635179541077237382026
y[1] (numeric) = 1.2131484399635179541077237382028
absolute error = 2e-31
relative error = 1.6486028701155024405469227833065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 1.2121713137250462443479033856117
y[1] (numeric) = 1.2121713137250462443479033856119
absolute error = 2e-31
relative error = 1.6499318020106644311603167318107e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 1.2111939753152784904840597408879
y[1] (numeric) = 1.2111939753152784904840597408881
absolute error = 2e-31
relative error = 1.6512631673876946433737670857491e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 1.2102164257115530208390819020577
y[1] (numeric) = 1.2102164257115530208390819020579
absolute error = 2e-31
relative error = 1.6525969715078768929235545888946e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 1.2092386658914193576759752523919
y[1] (numeric) = 1.2092386658914193576759752523921
absolute error = 2e-31
relative error = 1.6539332196474646398301359132375e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 1.2082606968326372396484206598579
y[1] (numeric) = 1.2082606968326372396484206598582
absolute error = 3e-31
relative error = 2.4829078756465967507729752210668e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 1.2072825195131756440411173034146
y[1] (numeric) = 1.2072825195131756440411173034149
absolute error = 3e-31
relative error = 2.4849196037475299366580684483828e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 1.2063041349112118088008868857249
y[1] (numeric) = 1.2063041349112118088008868857252
absolute error = 3e-31
relative error = 2.4869350217561929042143749164832e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 1.2053255440051302543595172011012
y[1] (numeric) = 1.2053255440051302543595172011015
absolute error = 3e-31
relative error = 2.4889541376775393654019676427876e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=328.0MB, alloc=4.5MB, time=14.49
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 1.2043467477735218052493232357583
y[1] (numeric) = 1.2043467477735218052493232357586
absolute error = 3e-31
relative error = 2.4909769595393568206504619784552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 1.2033677471951826115124041847311
y[1] (numeric) = 1.2033677471951826115124041847314
absolute error = 3e-31
relative error = 2.4930034953923433243385494666735e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 1.2023885432491131699045749761186
y[1] (numeric) = 1.2023885432491131699045749761189
absolute error = 3e-31
relative error = 2.4950337533101845537911039360382e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 1.2014091369145173448949510986408
y[1] (numeric) = 1.201409136914517344894951098641
absolute error = 2e-31
relative error = 1.6647118275930874554414476072914e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 1.2004295291708013894621657328424
y[1] (numeric) = 1.2004295291708013894621657328427
absolute error = 3e-31
relative error = 2.4991054677505765635791069476736e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 1.1994497209975729656881983896453
y[1] (numeric) = 1.1994497209975729656881983896456
absolute error = 3e-31
relative error = 2.5011469405361347109301122768487e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 1.1984697133746401651507944623374
y[1] (numeric) = 1.1984697133746401651507944623377
absolute error = 3e-31
relative error = 2.5031921679127186026844583931544e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 1.1974895072820105291154552994992
y[1] (numeric) = 1.1974895072820105291154552994995
absolute error = 3e-31
relative error = 2.5052411580701187851417472287602e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 1.196509103699890068527978606795
y[1] (numeric) = 1.1965091036998900685279786067953
absolute error = 3e-31
relative error = 2.5072939192215822925136765231353e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 1.1955285036086822838085291850062
y[1] (numeric) = 1.1955285036086822838085291850065
absolute error = 3e-31
relative error = 2.5093504596038918792489222093061e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 1.194547707988987184448220210156
y[1] (numeric) = 1.1945477079889871844482202101563
absolute error = 3e-31
relative error = 2.5114107874774455670189433248056e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 1.1935667178216003084091854590607
y[1] (numeric) = 1.193566717821600308409185459061
absolute error = 3e-31
relative error = 2.5134749111263365077897458772231e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 1.1925855340875117413291230801546
y[1] (numeric) = 1.1925855340875117413291230801549
absolute error = 3e-31
relative error = 2.5155428388584331644119145032865e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 1.1916041577679051355312917049631
y[1] (numeric) = 1.1916041577679051355312917049635
absolute error = 4e-31
relative error = 3.3568194386739464135580458834264e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=331.8MB, alloc=4.5MB, time=14.66
x[1] = 1.379
y[1] (analytic) = 1.1906225898441567288409398901458
y[1] (numeric) = 1.1906225898441567288409398901462
absolute error = 4e-31
relative error = 3.3595868532307697983039750129009e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 1.1896408312978343632091500735982
y[1] (numeric) = 1.1896408312978343632091500735986
absolute error = 4e-31
relative error = 3.3623593733212859412746046684286e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 1.1886588831106965031450784206866
y[1] (numeric) = 1.188658883110696503145078420687
absolute error = 4e-31
relative error = 3.3651370101505320600647476375565e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 1.1876767462646912539575721282947
y[1] (numeric) = 1.1876767462646912539575721282951
absolute error = 4e-31
relative error = 3.3679197749557867419410169043123e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 1.1866944217419553798071459449827
y[1] (numeric) = 1.1866944217419553798071459449831
absolute error = 4e-31
relative error = 3.3707076790066794320959698719233e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 1.1857119105248133215692998551996
y[1] (numeric) = 1.1857119105248133215692998552001
absolute error = 5e-31
relative error = 4.2168759170066254486304060742332e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 1.1847292135957762145101600641513
y[1] (numeric) = 1.1847292135957762145101600641518
absolute error = 5e-31
relative error = 4.2203736876078886227132201969377e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 1.1837463319375409057754256075989
y[1] (numeric) = 1.1837463319375409057754256075994
absolute error = 5e-31
relative error = 4.2238779247713179729594224384122e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 1.1827632665329889716936030975612
y[1] (numeric) = 1.1827632665329889716936030975617
absolute error = 5e-31
relative error = 4.2273886427470841610945119955420e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 1.1817800183651857348945123006033
y[1] (numeric) = 1.1817800183651857348945123006039
absolute error = 6e-31
relative error = 5.0770870269917867598643132103202e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 1.1807965884173792812440454301247
y[1] (numeric) = 1.1807965884173792812440454301252
absolute error = 5e-31
relative error = 4.2344295783421054618706652822061e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 1.179812977672999476596163217804
y[1] (numeric) = 1.1798129776729994765961632178046
absolute error = 6e-31
relative error = 5.0855517896015024993198626683247e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 1.1788291871156569833631110121253
y[1] (numeric) = 1.1788291871156569833631110121259
absolute error = 6e-31
relative error = 5.0897959310633607145997605553594e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 1.1778452177291422769048383336844
y[1] (numeric) = 1.177845217729142276904838333685
absolute error = 6e-31
relative error = 5.0940479357447815568695885569942e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 1.1768610704974246617386054977767
y[1] (numeric) = 1.1768610704974246617386054977773
absolute error = 6e-31
relative error = 5.0983078210446505437362949319387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=335.7MB, alloc=4.5MB, time=14.83
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 1.175876746404651287569761094576
y[1] (numeric) = 1.1758767464046512875697610945766
absolute error = 6e-31
relative error = 5.1025756044122299632180490499445e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 1.1748922464351461651446742960458
y[1] (numeric) = 1.1748922464351461651446742960464
absolute error = 6e-31
relative error = 5.1068513033473311725170131559213e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 1.1739075715734091819268061365681
y[1] (numeric) = 1.1739075715734091819268061365687
absolute error = 6e-31
relative error = 5.1111349354004875891327625499725e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 1.172922722804115117596904091137
y[1] (numeric) = 1.1729227228041151175969040911376
absolute error = 6e-31
relative error = 5.1154265181731283774898967571288e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 1.1719377011121126593783044508402
y[1] (numeric) = 1.1719377011121126593783044508408
absolute error = 6e-31
relative error = 5.1197260693177528342697742554659e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 1.1709525074824234171883271702437
y[1] (numeric) = 1.1709525074824234171883271702443
absolute error = 6e-31
relative error = 5.1240336065381054756527873989822e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 1.1699671429002409386167480352036
y[1] (numeric) = 1.1699671429002409386167480352043
absolute error = 7e-31
relative error = 5.9830740055209104679765350575222e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 1.1689816083509297237323331725497
y[1] (numeric) = 1.1689816083509297237323331725504
absolute error = 7e-31
relative error = 5.9881181619912974265851985025450e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 1.1679959048200242397184210950248
y[1] (numeric) = 1.1679959048200242397184210950255
absolute error = 7e-31
relative error = 5.9931716978739113240494608572571e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 1.1670100332932279353385376458159
y[1] (numeric) = 1.1670100332932279353385376458166
absolute error = 7e-31
relative error = 5.9982346340643243146626909007676e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 1.1660239947564122552330293769798
y[1] (numeric) = 1.1660239947564122552330293769805
absolute error = 7e-31
relative error = 6.0033069915189284001037071331843e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 1.1650377901956156540477010650472
y[1] (numeric) = 1.165037790195615654047701065048
absolute error = 8e-31
relative error = 6.8667300471487367896092011581754e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 1.1640514205970426103954432350868
y[1] (numeric) = 1.1640514205970426103954432350876
absolute error = 8e-31
relative error = 6.8725486335447240155068249108032e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 1.1630648869470626406518357315184
y[1] (numeric) = 1.1630648869470626406518357315191
absolute error = 7e-31
relative error = 6.0185808019485053671633289625248e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=339.5MB, alloc=4.5MB, time=15.00
x[1] = 1.408
y[1] (analytic) = 1.1620781902322093125857135399897
y[1] (numeric) = 1.1620781902322093125857135399904
absolute error = 7e-31
relative error = 6.0236910552475327334318691778382e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 1.1610913314391792588256812296698
y[1] (numeric) = 1.1610913314391792588256812296705
absolute error = 7e-31
relative error = 6.0288108355123627442357026228174e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 1.1601043115548311901635625493609
y[1] (numeric) = 1.1601043115548311901635625493616
absolute error = 7e-31
relative error = 6.0339401640687307103662890036892e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 1.1591171315661849086957718738978
y[1] (numeric) = 1.1591171315661849086957718738985
absolute error = 7e-31
relative error = 6.0390790623046745156788475034399e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 1.158129792460420320803594359381
y[1] (numeric) = 1.1581297924604203208035943593817
absolute error = 7e-31
relative error = 6.0442275516707498805538279754551e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 1.1571422952248764499733618268809
y[1] (numeric) = 1.1571422952248764499733618268816
absolute error = 7e-31
relative error = 6.0493856536802464987079236564874e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 1.1561546408470504494575115543554
y[1] (numeric) = 1.156154640847050449457511554356
absolute error = 6e-31
relative error = 5.1896171913509186154836308423825e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 1.1551668303145966147775153156389
y[1] (numeric) = 1.1551668303145966147775153156395
absolute error = 6e-31
relative error = 5.1940549559979729454962461499390e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 1.1541788646153253960696661634929
y[1] (numeric) = 1.1541788646153253960696661634935
absolute error = 6e-31
relative error = 5.1985010156980576136655287605083e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 1.1531907447372024102747106108474
y[1] (numeric) = 1.1531907447372024102747106108481
absolute error = 7e-31
relative error = 6.0701146206261059540993628425938e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 1.15220247166834745317231402052
y[1] (numeric) = 1.1522024716683474531723140205207
absolute error = 7e-31
relative error = 6.0753211107629837815350127784834e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 1.1512140463970335112613471688637
y[1] (numeric) = 1.1512140463970335112613471688644
absolute error = 7e-31
relative error = 6.0805373439526491913344270069835e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 1.1502254699116857734869821029759
y[1] (numeric) = 1.1502254699116857734869821029766
absolute error = 7e-31
relative error = 6.0857633421536557369952682329850e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 1.1492367432008806428155855642893
y[1] (numeric) = 1.14923674320088064281558556429
absolute error = 7e-31
relative error = 6.0909991273890519700351387878405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 1.1482478672533447476583984035691
y[1] (numeric) = 1.1482478672533447476583984035699
absolute error = 8e-31
relative error = 6.9671368248532635673565896260209e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=343.3MB, alloc=4.5MB, time=15.17
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 1.1472588430579539531449895635557
y[1] (numeric) = 1.1472588430579539531449895635564
absolute error = 7e-31
relative error = 6.1015001473790286978373274166660e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 1.1462696716037323722474733557142
y[1] (numeric) = 1.1462696716037323722474733557149
absolute error = 7e-31
relative error = 6.1067654265042034967160566375139e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 1.1452803538798513767564789067943
y[1] (numeric) = 1.145280353879851376756478906795
absolute error = 7e-31
relative error = 6.1120405814054095448706091798277e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 1.1442908908756286081098607991456
y[1] (numeric) = 1.1442908908756286081098607991463
absolute error = 7e-31
relative error = 6.1173256344315514644776464462166e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 1.143301283580526988075140075997
y[1] (numeric) = 1.1433012835805269880751400759977
absolute error = 7e-31
relative error = 6.1226206079973877710696958848835e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 1.1423115329841537292866649291767
y[1] (numeric) = 1.1423115329841537292866649291774
absolute error = 7e-31
relative error = 6.1279255245837606077760838787619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 1.1413216400762593456384805320288
y[1] (numeric) = 1.1413216400762593456384805320295
absolute error = 7e-31
relative error = 6.1332404067378264202006063536282e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 1.1403316058467366625338976245749
y[1] (numeric) = 1.1403316058467366625338976245756
absolute error = 7e-31
relative error = 6.1385652770732875763313548856025e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 1.1393414312856198269927496012693
y[1] (numeric) = 1.13934143128561982699274960127
absolute error = 7e-31
relative error = 6.1439001582706249359012533026503e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 1.1383511173830833176173279940086
y[1] (numeric) = 1.1383511173830833176173279940093
absolute error = 7e-31
relative error = 6.1492450730773313736411323556924e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 1.1373606651294409544179863843771
y[1] (numeric) = 1.1373606651294409544179863843778
absolute error = 7e-31
relative error = 6.1546000443081462608905788545195e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 1.1363700755151449084994029194425
y[1] (numeric) = 1.1363700755151449084994029194432
absolute error = 7e-31
relative error = 6.1599650948452909100553415997660e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 1.1353793495307847116084917447554
y[1] (numeric) = 1.1353793495307847116084917447561
absolute error = 7e-31
relative error = 6.1653402476387049864237603788498e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 1.1343884881670862655449538065606
y[1] (numeric) = 1.1343884881670862655449538065613
absolute error = 7e-31
relative error = 6.1707255257062838918785071212765e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=347.1MB, alloc=4.5MB, time=15.34
x[1] = 1.437
y[1] (analytic) = 1.1333974924149108514354576125847
y[1] (numeric) = 1.1333974924149108514354576125854
absolute error = 7e-31
relative error = 6.1761209521341171250638909236755e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 1.1324063632652541388724406771388
y[1] (numeric) = 1.1324063632652541388724406771395
absolute error = 7e-31
relative error = 6.1815265500767276225930819601972e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 1.1314151017092451949185225116501
y[1] (numeric) = 1.1314151017092451949185225116508
absolute error = 7e-31
relative error = 6.1869423427573120859038541987878e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 1.1304237087381454929775201561292
y[1] (numeric) = 1.1304237087381454929775201561299
absolute error = 7e-31
relative error = 6.1923683534679822983958342639535e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 1.1294321853433479215330573804725
y[1] (numeric) = 1.1294321853433479215330573804732
absolute error = 7e-31
relative error = 6.1978046055700074375067746441562e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 1.1284405325163757927557588169101
y[1] (numeric) = 1.1284405325163757927557588169108
absolute error = 7e-31
relative error = 6.2032511224940573864100446654877e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 1.127448751248881850980020416321
y[1] (numeric) = 1.1274487512488818509800204163217
absolute error = 7e-31
relative error = 6.2087079277404470500403531780570e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 1.126456842532647281051347751563
y[1] (numeric) = 1.1264568425326472810513477515637
absolute error = 7e-31
relative error = 6.2141750448793816801796836693346e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 1.1254648073595807165452538203967
y[1] (numeric) = 1.1254648073595807165452538203973
absolute error = 6e-31
relative error = 5.3311307121867456123090312669031e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 1.124472646721717247858708129022
y[1] (numeric) = 1.1244726467217172478587081290226
absolute error = 6e-31
relative error = 5.3358345509714036857447156185986e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 1.1234803616112174301751289646973
y[1] (numeric) = 1.1234803616112174301751289646979
absolute error = 6e-31
relative error = 5.3405472894917514361322255131817e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 1.1224879530203662913039108923645
y[1] (numeric) = 1.1224879530203662913039108923651
absolute error = 6e-31
relative error = 5.3452689481925662105554560161463e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 1.1214954219415723393954796356705
y[1] (numeric) = 1.1214954219415723393954796356711
absolute error = 6e-31
relative error = 5.3499995475795958780118124517528e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 1.120502769367366570532866627248
y[1] (numeric) = 1.1205027693673665705328666272486
absolute error = 6e-31
relative error = 5.3547391082197743838998767436538e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 1.1195099962904014762007956365975
y[1] (numeric) = 1.1195099962904014762007956365981
absolute error = 6e-31
relative error = 5.3594876507414381984176156638352e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=350.9MB, alloc=4.5MB, time=15.51
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 1.1185171037034500506332740064018
y[1] (numeric) = 1.1185171037034500506332740064023
absolute error = 5e-31
relative error = 4.4702043298621197192524388113710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 1.1175240925994047980406811495985
y[1] (numeric) = 1.117524092599404798040681149599
absolute error = 5e-31
relative error = 4.4741764702090710331424014770117e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 1.1165309639712767397173470800403
y[1] (numeric) = 1.1165309639712767397173470800408
absolute error = 5e-31
relative error = 4.4781561473369288884372765385702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 1.1155377188121944210306138690803
y[1] (numeric) = 1.1155377188121944210306138690808
absolute error = 5e-31
relative error = 4.4821433786424675186171352541506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 1.1145443581154029182923730389394
y[1] (numeric) = 1.1145443581154029182923730389399
absolute error = 5e-31
relative error = 4.4861381815745430941237226550766e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 1.1135508828742628455140720212351
y[1] (numeric) = 1.1135508828742628455140720212356
absolute error = 5e-31
relative error = 4.4901405736342786402968409000761e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 1.1125572940822493610461829255825
y[1] (numeric) = 1.112557294082249361046182925583
absolute error = 5e-31
relative error = 4.4941505723752497253204817301179e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 1.1115635927329511741031269787158
y[1] (numeric) = 1.1115635927329511741031269787162
absolute error = 4e-31
relative error = 3.5985345563229367374713622309291e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 1.1105697798200695511746481091234
y[1] (numeric) = 1.1105697798200695511746481091238
absolute error = 4e-31
relative error = 3.6017547683028664367398742527816e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 1.1095758563374173223246292657403
y[1] (numeric) = 1.1095758563374173223246292657408
absolute error = 5e-31
relative error = 4.5062263850120411770933876247262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 1.1085818232789178873783451717983
y[1] (numeric) = 1.1085818232789178873783451717987
absolute error = 4e-31
relative error = 3.6082135896554427704733064651259e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 1.107587681638604221999145326498
y[1] (numeric) = 1.1075876816386042219991453264984
absolute error = 4e-31
relative error = 3.6114522274952165705545950594245e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 1.1065934324106178836555611777382
y[1] (numeric) = 1.1065934324106178836555611777387
absolute error = 5e-31
relative error = 4.5183712947834267837638779181717e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 1.1055990765892080174798314987118
y[1] (numeric) = 1.1055990765892080174798314987123
absolute error = 5e-31
relative error = 4.5224350362385297598752388609299e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 1.1046046151687303620188401097589
memory used=354.7MB, alloc=4.5MB, time=15.68
y[1] (numeric) = 1.1046046151687303620188401097594
absolute error = 5e-31
relative error = 4.5265065267143039367682281015849e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 1.1036100491436462548784601944592
y[1] (numeric) = 1.1036100491436462548784601944596
absolute error = 4e-31
relative error = 3.6244686273959060839886434387349e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 1.1026153795085216382622995655335
y[1] (numeric) = 1.102615379508521638262299565534
absolute error = 5e-31
relative error = 4.5346728269187516430167107339436e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 1.1016206072580260644058413417291
y[1] (numeric) = 1.1016206072580260644058413417295
absolute error = 4e-31
relative error = 3.6310141383031551370495283331963e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 1.1006257333869317009069746014624
y[1] (numeric) = 1.1006257333869317009069746014628
absolute error = 4e-31
relative error = 3.6342962722585876172450961952317e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 1.0996307588901123359539096826085
y[1] (numeric) = 1.0996307588901123359539096826089
absolute error = 4e-31
relative error = 3.6375846780034694200798095998110e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 1.0986356847625423834514729004364
y[1] (numeric) = 1.0986356847625423834514729004369
absolute error = 5e-31
relative error = 4.5510992127300991244706997120028e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 1.0976405119992958880467755573151
y[1] (numeric) = 1.0976405119992958880467755573156
absolute error = 5e-31
relative error = 4.5552254543637028119203108696762e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 1.096645241595545530055252218436
y[1] (numeric) = 1.0966452415955455300552522184365
absolute error = 5e-31
relative error = 4.5593595908238603989622439714883e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 1.0956498745465616302880633274325
y[1] (numeric) = 1.095649874546561630288063327433
absolute error = 5e-31
relative error = 4.5635016405850151208976477412682e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 1.0946544118477111547818573344103
y[1] (numeric) = 1.0946544118477111547818573344108
absolute error = 5e-31
relative error = 4.5676516221775410803352189078020e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 1.0936588544944567194318876065432
y[1] (numeric) = 1.0936588544944567194318876065437
absolute error = 5e-31
relative error = 4.5718095541879442837381065761284e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 1.0926632034823555945294794880351
y[1] (numeric) = 1.0926632034823555945294794880356
absolute error = 5e-31
relative error = 4.5759754552590645250512827655118e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 1.0916674598070587092048429718975
y[1] (numeric) = 1.091667459807058709204842971898
absolute error = 5e-31
relative error = 4.5801493440902781204849415203212e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 1.0906716244643096557762265406478
y[1] (numeric) = 1.0906716244643096557762265406483
absolute error = 5e-31
relative error = 4.5843312394377014985515739832268e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=358.5MB, alloc=4.5MB, time=15.86
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 1.0896756984499436940064078266906
y[1] (numeric) = 1.089675698449943694006407826691
absolute error = 4e-31
relative error = 3.6708169280915165195812678649180e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 1.0886796827598867552675168358087
y[1] (numeric) = 1.0886796827598867552675168358092
absolute error = 5e-31
relative error = 4.5927191249905714381246673952460e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 1.0876835783901544466151875688586
y[1] (numeric) = 1.0876835783901544466151875688591
absolute error = 5e-31
relative error = 4.5969251529937957846066415053703e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 1.0866873863368510547730339674336
y[1] (numeric) = 1.0866873863368510547730339674341
absolute error = 5e-31
relative error = 4.6011392631091987167540805115135e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 1.0856911075961685500284461989382
y[1] (numeric) = 1.0856911075961685500284461989386
absolute error = 4e-31
relative error = 3.6842891795037450389374503531058e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 1.0846947431643855900407033851922
y[1] (numeric) = 1.0846947431643855900407033851926
absolute error = 4e-31
relative error = 3.6876734447248995516810246095408e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 1.0836982940378665235623989663707
y[1] (numeric) = 1.0836982940378665235623989663711
absolute error = 4e-31
relative error = 3.6910642214780788698806169104394e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 1.0827017612130603940751749787701
y[1] (numeric) = 1.0827017612130603940751749787706
absolute error = 5e-31
relative error = 4.6180769064215743105717128448361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 1.0817051456864999433407616105837
y[1] (numeric) = 1.0817051456864999433407616105842
absolute error = 5e-31
relative error = 4.6223317139041337741835430181637e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 1.0807084484548006148683184845637
y[1] (numeric) = 1.0807084484548006148683184845642
absolute error = 5e-31
relative error = 4.6265947186301831122731056571091e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 1.0797116705146595572990742001458
y[1] (numeric) = 1.0797116705146595572990742001463
absolute error = 5e-31
relative error = 4.6308659399936657028181411613301e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 1.0787148128628546277092607503139
y[1] (numeric) = 1.0787148128628546277092607503143
absolute error = 4e-31
relative error = 3.7081163179582210788865337166313e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 1.077717876496243394832339510186
y[1] (numeric) = 1.0777178764962433948323395101865
absolute error = 5e-31
relative error = 4.6394331105051763687599357788321e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 1.0767208624117621422015155750152
y[1] (numeric) = 1.0767208624117621422015155750157
absolute error = 5e-31
relative error = 4.6437290987382096052486828997196e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 1.0757237716064248712135373050044
y[1] (numeric) = 1.0757237716064248712135373050049
absolute error = 5e-31
relative error = 4.6480333817791193489005601573099e-29 %
Correct digits = 30
h = 0.001
memory used=362.4MB, alloc=4.5MB, time=16.03
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 1.074726605077322304114778013056
y[1] (numeric) = 1.0747266050773223041147780130565
absolute error = 5e-31
relative error = 4.6523459793202661893159643487130e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 1.073729363821620886910596809289
y[1] (numeric) = 1.0737293638216208869105968092895
absolute error = 5e-31
relative error = 4.6566669111143467932179490086857e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 1.072732048836561792198975692881
y[1] (numeric) = 1.0727320488365617921989756928815
absolute error = 5e-31
relative error = 4.6609961969746136157445230976230e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 1.0717346611194599219294300575146
y[1] (numeric) = 1.0717346611194599219294300575151
absolute error = 5e-31
relative error = 4.6653338567750955492284113559097e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 1.0707372016677029100881898514343
y[1] (numeric) = 1.0707372016677029100881898514348
absolute error = 5e-31
relative error = 4.6696799104508195140327715400328e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 1.06973967147875012531064870685
y[1] (numeric) = 1.0697396714787501253106487068505
absolute error = 5e-31
relative error = 4.6740343779980329960364363434886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 1.0687420715501316734220784261545
y[1] (numeric) = 1.068742071550131673422078426155
absolute error = 5e-31
relative error = 4.6783972794744275353874733528610e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 1.0677444028794473999076062841581
y[1] (numeric) = 1.0677444028794473999076062841586
absolute error = 5e-31
relative error = 4.6827686349993631711692359236316e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 1.0667466664643658923124526762785
y[1] (numeric) = 1.066746666464365892312452676279
absolute error = 5e-31
relative error = 4.6871484647540938466486124160263e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 1.065748863302623482573426712367
y[1] (numeric) = 1.0657488633026234825734267123676
absolute error = 6e-31
relative error = 5.6298441467783925357622462208896e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 1.064750994392023249282677424591
y[1] (numeric) = 1.0647509943920232492826774245915
absolute error = 5e-31
relative error = 4.6959336279887848038393517777049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 1.0637530607304340198846983255382
y[1] (numeric) = 1.0637530607304340198846983255387
absolute error = 5e-31
relative error = 4.7003390021427646824762400557043e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 1.0627550633157893728075831194565
y[1] (numeric) = 1.062755063315789372807583119457
absolute error = 5e-31
relative error = 4.7047529318750364047228673821709e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 1.0617570031460866395295304352888
y[1] (numeric) = 1.0617570031460866395295304352894
absolute error = 6e-31
relative error = 5.6510105252156861567931034367157e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=366.2MB, alloc=4.5MB, time=16.20
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 1.0607588812193859065815955149162
y[1] (numeric) = 1.0607588812193859065815955149167
absolute error = 5e-31
relative error = 4.7136065401142761263651317623737e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 1.0597606985338090174876868537732
y[1] (numeric) = 1.0597606985338090174876868537737
absolute error = 5e-31
relative error = 4.7180462597995536928233438694640e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 1.0587624560875385746428058537574
y[1] (numeric) = 1.0587624560875385746428058537579
absolute error = 5e-31
relative error = 4.7224946174202077604012738712518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 1.0577641548788169411305276101085
y[1] (numeric) = 1.057764154878816941130527610109
absolute error = 5e-31
relative error = 4.7269516337248414870920126385332e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 1.0567657959059452424807210146942
y[1] (numeric) = 1.0567657959059452424807210146947
absolute error = 5e-31
relative error = 4.7314173295262598654840517630660e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 1.0557673801672823683685064178989
y[1] (numeric) = 1.0557673801672823683685064178993
absolute error = 4e-31
relative error = 3.7887133805613648080605071633104e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 1.0547689086612439742554491500745
y[1] (numeric) = 1.054768908661243974255449150075
absolute error = 5e-31
relative error = 4.7403748431930984632573602539810e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 1.0537703823863014829739872612776
y[1] (numeric) = 1.053770382386301482973987261278
absolute error = 4e-31
relative error = 3.7958933624058156199834420478428e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 1.0527718023409810862560918947796
y[1] (numeric) = 1.0527718023409810862560918947801
absolute error = 5e-31
relative error = 4.7493673262162046111466878016913e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 1.0517731695238627462071587656097
y[1] (numeric) = 1.0517731695238627462071587656102
absolute error = 5e-31
relative error = 4.7538767339572826458162094743428e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 1.0507744849335791967261292701527
y[1] (numeric) = 1.0507744849335791967261292701532
absolute error = 5e-31
relative error = 4.7583949474335174922931842203115e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 1.0497757495688149448728398065994
y[1] (numeric) = 1.0497757495688149448728398065999
absolute error = 5e-31
relative error = 4.7629219879138004282581069852800e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 1.0487769644283052721835979388165
y[1] (numeric) = 1.048776964428305272183597938817
absolute error = 5e-31
relative error = 4.7674578767331436700796690929310e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 1.0477781305108352359359840879762
y[1] (numeric) = 1.0477781305108352359359840879767
absolute error = 5e-31
relative error = 4.7720026352929249514999906078861e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 1.0467792488152386703638774870614
y[1] (numeric) = 1.0467792488152386703638774870618
absolute error = 4e-31
relative error = 3.8212450280489065295253462147954e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=370.0MB, alloc=4.5MB, time=16.37
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 1.0457803203403971878237051831361
y[1] (numeric) = 1.0457803203403971878237051831365
absolute error = 4e-31
relative error = 3.8248950780580920395483194275471e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 1.0447813460852391799129129210503
y[1] (numeric) = 1.0447813460852391799129129210508
absolute error = 5e-31
relative error = 4.7856903444293229941757581235332e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 1.0437823270487388185416567900242
y[1] (numeric) = 1.0437823270487388185416567900247
absolute error = 5e-31
relative error = 4.7902707973005638567829192833942e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 1.0427832642299150569587145613365
y[1] (numeric) = 1.042783264229915056958714561337
absolute error = 5e-31
relative error = 4.7948602279232489078266901908888e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 1.0417841586278306307326156911238
y[1] (numeric) = 1.0417841586278306307326156911243
absolute error = 5e-31
relative error = 4.7994586581021448432398000401268e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 1.0407850112415910586889890070761
y[1] (numeric) = 1.0407850112415910586889890070766
absolute error = 5e-31
relative error = 4.8040661097101258912569388201546e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 1.0397858230703436438051271415984
y[1] (numeric) = 1.0397858230703436438051271415989
absolute error = 5e-31
relative error = 4.8086826046884270162662972597285e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 1.0387865951132764740627668167907
y[1] (numeric) = 1.0387865951132764740627668167912
absolute error = 5e-31
relative error = 4.8133081650468982250256716998543e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 1.0377873283696174232600841283823
y[1] (numeric) = 1.0377873283696174232600841283828
absolute error = 5e-31
relative error = 4.8179428128642599807257142766370e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 1.0367880238386331517839040165425
y[1] (numeric) = 1.036788023838633151783904016543
absolute error = 5e-31
relative error = 4.8225865702883597304136150481831e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 1.0357886825196281073431231512747
y[1] (numeric) = 1.0357886825196281073431231512752
absolute error = 5e-31
relative error = 4.8272394595364295513214001303350e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 1.0347893054119435256643454988875
y[1] (numeric) = 1.034789305411943525664345498888
absolute error = 5e-31
relative error = 4.8319015028953449216741198270874e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 1.0337898935149564311507298738242
y[1] (numeric) = 1.0337898935149564311507298738247
absolute error = 5e-31
relative error = 4.8365727227218846215844844726467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 1.03279044782807863750504881692
y[1] (numeric) = 1.0327904478280786375050488169205
absolute error = 5e-31
relative error = 4.8412531414429917696719845731414e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=373.8MB, alloc=4.5MB, time=16.54
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 1.0317909693507557483179581769444
y[1] (numeric) = 1.0317909693507557483179581769449
absolute error = 5e-31
relative error = 4.8459427815560360010762071868136e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 1.0307914590824661576224768070764
y[1] (numeric) = 1.0307914590824661576224768070769
absolute error = 5e-31
relative error = 4.8506416656290767925659336620160e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 1.0297919180227200504156758217488
y[1] (numeric) = 1.0297919180227200504156758217493
absolute error = 5e-31
relative error = 4.8553498163011279404776762225154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 1.0287923471710584031485768920898
y[1] (numeric) = 1.0287923471710584031485768920904
absolute error = 6e-31
relative error = 5.8320807075389078366995005836168e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 1.0277927475270519841852590899802
y[1] (numeric) = 1.0277927475270519841852590899808
absolute error = 6e-31
relative error = 5.8377528100256196868189470499522e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 1.0267931200903003542321738215351
y[1] (numeric) = 1.0267931200903003542321738215357
absolute error = 6e-31
relative error = 5.8434361144456593641107368854111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 1.0257934658604308667386674206134
y[1] (numeric) = 1.025793465860430866738667420614
absolute error = 6e-31
relative error = 5.8491306483096258042619183426805e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 1.0247937858370976682697110017483
y[1] (numeric) = 1.0247937858370976682697110017488
absolute error = 5e-31
relative error = 4.8790303660123924904500778364556e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 1.023794081019980698851837199685
y[1] (numeric) = 1.0237940810199806988518371996855
absolute error = 5e-31
relative error = 4.8837945957048548036379898613545e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 1.0227943524087846922932834495078
y[1] (numeric) = 1.0227943524087846922932834495083
absolute error = 5e-31
relative error = 4.8885682524786059154497742905235e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 1.021794601003238176479341487127
y[1] (numeric) = 1.0217946010032381764793414871275
absolute error = 5e-31
relative error = 4.8933513595499556419386009704680e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 1.0207948278030924736439127746956
y[1] (numeric) = 1.020794827803092473643912774696
absolute error = 4e-31
relative error = 3.9185151521668810077494115852051e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 1.0197950338081207006182695793146
y[1] (numeric) = 1.019795033808120700618269579315
absolute error = 4e-31
relative error = 3.9223568142543230676727100386411e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 1.0187952200181167690580214561851
y[1] (numeric) = 1.0187952200181167690580214561855
absolute error = 4e-31
relative error = 3.9262060926521326149775462445521e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 1.0177953874328943856492869091546
y[1] (numeric) = 1.017795387432894385649286909155
absolute error = 4e-31
relative error = 3.9300630061695276571156759006550e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=377.6MB, alloc=4.5MB, time=16.72
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 1.0167955370522860522950700224051
y[1] (numeric) = 1.0167955370522860522950700224056
absolute error = 5e-31
relative error = 4.9174094670941578606154350690990e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 1.0157956698761420662828418768213
y[1] (numeric) = 1.0157956698761420662828418768217
absolute error = 4e-31
relative error = 3.9377998140981716808913045746753e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 1.0147957869043295204343265833744
y[1] (numeric) = 1.0147957869043295204343265833748
absolute error = 4e-31
relative error = 3.9416797464267580681579533717585e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 1.0137958891367313032384917836536
y[1] (numeric) = 1.013795889136731303238491783654
absolute error = 4e-31
relative error = 3.9455673897100577301607598154824e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 1.0127959775732450989687434844695
y[1] (numeric) = 1.0127959775732450989687434844698
absolute error = 3e-31
relative error = 2.9620970722931617358095816931506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 1.0117960532137823877853251092519
y[1] (numeric) = 1.0117960532137823877853251092522
absolute error = 3e-31
relative error = 2.9650244142295838753229596469649e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 1.0107961170582674458239206637609
y[1] (numeric) = 1.0107961170582674458239206637612
absolute error = 3e-31
relative error = 2.9679575825151935089528063740599e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 1.0097961701066363452714619274229
y[1] (numeric) = 1.0097961701066363452714619274232
absolute error = 3e-31
relative error = 2.9708965916192714865320571994033e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 1.008796213358835954430139594402
y[1] (numeric) = 1.0087962133588359544301395944022
absolute error = 2e-31
relative error = 1.9825609707047798382855411279708e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 1.0077962478148229377706183003121
y[1] (numeric) = 1.0077962478148229377706183003123
absolute error = 2e-31
relative error = 1.9845281269269907903605508143279e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 1.0067962744745627559754554812718
y[1] (numeric) = 1.006796274474562755975455481272
absolute error = 2e-31
relative error = 1.9864992061514934271456121744317e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 1.0057962943380286659737240217992
y[1] (numeric) = 1.0057962943380286659737240217994
absolute error = 2e-31
relative error = 1.9884742181480325803589376334942e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 1.0047963084052007209678386568407
y[1] (numeric) = 1.0047963084052007209678386568409
absolute error = 2e-31
relative error = 1.9904531727175364376061504733042e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 1.003796317676064770453586101025
y[1] (numeric) = 1.0037963176760647704535861010252
absolute error = 2e-31
relative error = 1.9924360796922351719880100384298e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=381.4MB, alloc=4.5MB, time=16.89
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 1.0027963231506114602343588850274
y[1] (numeric) = 1.0027963231506114602343588850276
absolute error = 2e-31
relative error = 1.9944229489357800999195187259642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 1.0017963258288352324305928847284
y[1] (numeric) = 1.0017963258288352324305928847286
absolute error = 2e-31
relative error = 1.9964137903433633698477756829427e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 1.0007963267107333254854085336454
y[1] (numeric) = 1.0007963267107333254854085336455
absolute error = 1e-31
relative error = 9.9920430692091909228566888648747e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 0.99979632679630477416745571291229
y[1] (numeric) = 0.99979632679630477416745571291244
absolute error = 1.5e-31
relative error = 1.5003055720423796699095065482146e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 0.99879632708554940957196231588025
y[1] (numeric) = 0.9987963270855494095719623158804
absolute error = 1.5e-31
relative error = 1.5018076852334292166831773919975e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 0.99779632857846685912098648620584
y[1] (numeric) = 0.99779632857846685912098648620599
absolute error = 1.5e-31
relative error = 1.5033128074714495862382430930611e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 0.9967963322750555465638725290926
y[1] (numeric) = 0.99679633227505554656387252909275
absolute error = 1.5e-31
relative error = 1.5048209462974735867460881982426e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 0.9957963391753116919789104951459
y[1] (numeric) = 0.99579633917531169197891049514605
absolute error = 1.5e-31
relative error = 1.5063321092767367256212961300345e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 0.99479635027922831177719943509845
y[1] (numeric) = 0.9947963502792283117771994350986
absolute error = 1.5e-31
relative error = 1.5078463039987698206923795621156e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 0.99379636658679421870971432145984
y[1] (numeric) = 0.99379636658679421870971432145999
absolute error = 1.5e-31
relative error = 1.5093635380774920260926853941473e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 0.99279638909799302187857662993987
y[1] (numeric) = 0.99279638909799302187857662994002
absolute error = 1.5e-31
relative error = 1.5108838191513042749936098165467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 0.99179641881280212675352856929168
y[1] (numeric) = 0.99179641881280212675352856929183
absolute error = 1.5e-31
relative error = 1.5124071548831831413144864387750e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 0.99079645673119173519461094301727
y[1] (numeric) = 0.99079645673119173519461094301742
absolute error = 1.5e-31
relative error = 1.5139335529607751225558162622116e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 0.98979650385312384548204462017403
y[1] (numeric) = 0.98979650385312384548204462017418
absolute error = 1.5e-31
relative error = 1.5154630210964913459148929631767e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 0.98879656117855125235431558531764
y[1] (numeric) = 0.98879656117855125235431558531779
absolute error = 1.5e-31
relative error = 1.5169955670276026998553410696243e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=385.2MB, alloc=4.5MB, time=17.06
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 0.98779662970741654705546352941286
y[1] (numeric) = 0.98779662970741654705546352941301
absolute error = 1.5e-31
relative error = 1.5185311985163353933146287272602e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 0.98679671043965111739257393434034
y[1] (numeric) = 0.9867967104396511173925739343405
absolute error = 1.6e-31
relative error = 1.6214079182399647410626575172886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 0.98579680437517414780447359342403
y[1] (numeric) = 0.98579680437517414780447359342418
absolute error = 1.5e-31
relative error = 1.5216117493409226032059088298289e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 0.98479691251389161944262949920024
y[1] (numeric) = 0.98479691251389161944262949920039
absolute error = 1.5e-31
relative error = 1.5231566843268722037040644555203e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 0.98379703585569531026525101744639
y[1] (numeric) = 0.98379703585569531026525101744654
absolute error = 1.5e-31
relative error = 1.5247047361708274590595875315774e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 0.98279717540046179514559525328365
y[1] (numeric) = 0.98279717540046179514559525328379
absolute error = 1.4e-31
relative error = 1.4245055185771570444693073137840e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 0.98179733214805144599547550096495
y[1] (numeric) = 0.98179733214805144599547550096509
absolute error = 1.4e-31
relative error = 1.4259562072112914660030308662667e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 0.9807975070983074319049726537566
y[1] (numeric) = 0.98079750709830743190497265375674
absolute error = 1.4e-31
relative error = 1.4274098270721593561560866639417e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 0.97979770125105471929934943411869
y[1] (numeric) = 0.97979770125105471929934943411883
absolute error = 1.4e-31
relative error = 1.4288663855940976030606116254260e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 0.97879791560609907211416728718682
y[1] (numeric) = 0.97879791560609907211416728718696
absolute error = 1.4e-31
relative error = 1.4303258902355557276676047939631e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 0.97779815116322605198960576235482
y[1] (numeric) = 0.97779815116322605198960576235496
absolute error = 1.4e-31
relative error = 1.4317883484791891783737112984218e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 0.97679840892220001848498418855595
y[1] (numeric) = 0.97679840892220001848498418855609
absolute error = 1.4e-31
relative error = 1.4332537678319530479944226757766e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 0.97579868988276312931448542863738
y[1] (numeric) = 0.97579868988276312931448542863752
absolute error = 1.4e-31
relative error = 1.4347221558251962152686649078089e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 0.97479899504463434060508147702107
y[1] (numeric) = 0.9747989950446343406050814770212
absolute error = 1.3e-31
relative error = 1.3336082685851304907287253674379e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=389.1MB, alloc=4.5MB, time=17.23
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 0.97379932540750840717766064264195
y[1] (numeric) = 0.97379932540750840717766064264208
absolute error = 1.3e-31
relative error = 1.3349773059824061024285318672602e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 0.97279968197105488285235603595314
y[1] (numeric) = 0.97279968197105488285235603595327
absolute error = 1.3e-31
relative error = 1.3363491210913870157496014132657e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 0.97180006573491712077907505458615
y[1] (numeric) = 0.97180006573491712077907505458628
absolute error = 1.3e-31
relative error = 1.3377237209969562356090665764704e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 0.9708004776987112737942295370535
y[1] (numeric) = 0.97080047769871127379422953705363
absolute error = 1.3e-31
relative error = 1.3391011128070912100832095494356e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 0.96980091886202529480466622768019
y[1] (numeric) = 0.96980091886202529480466622768032
absolute error = 1.3e-31
relative error = 1.3404813036529536560393514875989e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 0.96880139022441793719979716875022
y[1] (numeric) = 0.96880139022441793719979716875034
absolute error = 1.2e-31
relative error = 1.2386439698667505786274069156548e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 0.96780189278541775529292960765456
y[1] (numeric) = 0.96780189278541775529292960765468
absolute error = 1.2e-31
relative error = 1.2399231794704347608825079985994e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 0.96680242754452210479279497762734
y[1] (numeric) = 0.96680242754452210479279497762746
absolute error = 1.2e-31
relative error = 1.2412049926764782986094824533689e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 0.96580299550119614330627648045795
y[1] (numeric) = 0.96580299550119614330627648045806
absolute error = 1.1e-31
relative error = 1.1389486314744378469038089592673e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 0.96480359765487183087333476836814
y[1] (numeric) = 0.96480359765487183087333476836826
absolute error = 1.2e-31
relative error = 1.2437764565936686020391728002110e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 0.96380423500494693053513119004536
y[1] (numeric) = 0.96380423500494693053513119004548
absolute error = 1.2e-31
relative error = 1.2450661207084660137327679965660e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 0.96280490855078400893634803262546
y[1] (numeric) = 0.96280490855078400893634803262557
absolute error = 1.1e-31
relative error = 1.1424952139636703076117876994704e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 0.96180561929170943696270515722155
y[1] (numeric) = 0.96180561929170943696270515722167
absolute error = 1.2e-31
relative error = 1.2476533469244035936995784816024e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 0.96080636822701239041467239039898
y[1] (numeric) = 0.9608063682270123904146723903991
absolute error = 1.2e-31
relative error = 1.2489509225614048652503571825123e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 0.95980715635594385071837699780064
y[1] (numeric) = 0.95980715635594385071837699780076
absolute error = 1.2e-31
relative error = 1.2502511489453625116328186253777e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=392.9MB, alloc=4.5MB, time=17.41
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 0.95880798467771560567470552893211
y[1] (numeric) = 0.95880798467771560567470552893222
absolute error = 1.1e-31
relative error = 1.1472578634915554084275876142244e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 0.95780885419149925024759928392126
y[1] (numeric) = 0.95780885419149925024759928392137
absolute error = 1.1e-31
relative error = 1.1484546161650660644874300064381e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 0.9568097658964251873925426138738
y[1] (numeric) = 0.95680976589642518739254261387391
absolute error = 1.1e-31
relative error = 1.1496538175166109024776937571934e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 0.95581072079158162892624322625304
y[1] (numeric) = 0.95581072079158162892624322625315
absolute error = 1.1e-31
relative error = 1.1508554738630719158922867036635e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 0.95481171987601359643850362552042
y[1] (numeric) = 0.95481171987601359643850362552052
absolute error = 1.0e-31
relative error = 1.0473269014019374373180422817979e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 0.95381276414872192224728277708196
y[1] (numeric) = 0.95381276414872192224728277708207
absolute error = 1.1e-31
relative error = 1.1532661769123526190375242556656e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 0.952813854608662250397947039396
y[1] (numeric) = 0.9528138546086622503979470393961
absolute error = 1.0e-31
relative error = 1.0495229421393310305427196421228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 0.95181499225474403770770936490761
y[1] (numeric) = 0.95181499225474403770770936490771
absolute error = 1.0e-31
relative error = 1.0506243420594910244802696660857e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 0.95081617808582955485625572528767
y[1] (numeric) = 0.95081617808582955485625572528777
absolute error = 1.0e-31
relative error = 1.0517280027914403594535302438817e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 0.94981741310073288752355767026668
y[1] (numeric) = 0.94981741310073288752355767026678
absolute error = 1.0e-31
relative error = 1.0528339301923758246880511108517e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 0.94881869829821893757586988216755
y[1] (numeric) = 0.94881869829821893757586988216764
absolute error = 9e-32
relative error = 9.4854791712496906117588700086221e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 0.94782003467700242430091154005663
y[1] (numeric) = 0.94782003467700242430091154005672
absolute error = 9e-32
relative error = 9.4954734767418320220490027660871e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 0.94682142323574688569323025824839
y[1] (numeric) = 0.94682142323574688569323025824848
absolute error = 9e-32
relative error = 9.5054883414473720949071443849989e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 0.94582286497306367979074731371653
y[1] (numeric) = 0.94582286497306367979074731371661
absolute error = 8e-32
relative error = 8.4582433944730591308778760636762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=396.7MB, alloc=4.5MB, time=17.58
x[1] = 1.626
y[1] (analytic) = 0.94482436088751098606348282578305
y[1] (numeric) = 0.94482436088751098606348282578313
absolute error = 8e-32
relative error = 8.4671821887459408714725891084139e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 0.94382591197759280685545949927705
y[1] (numeric) = 0.94382591197759280685545949927713
absolute error = 8e-32
relative error = 8.4761394007901814128976312536454e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 0.94282751924175796888078348917606
y[1] (numeric) = 0.94282751924175796888078348917614
absolute error = 8e-32
relative error = 8.4851150785604676573801954427967e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 0.94182918367839912477490089056604
y[1] (numeric) = 0.94182918367839912477490089056612
absolute error = 8e-32
relative error = 8.4941092701707074895064276964946e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 0.9408309062858517547020283025802
y[1] (numeric) = 0.94083090628585175470202830258028
absolute error = 8e-32
relative error = 8.5031220238946610976066818248703e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 0.939832688062393168019755858803
y[1] (numeric) = 0.93983268806239316801975585880308
absolute error = 8e-32
relative error = 8.5121533881665752228466741302471e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 0.938834530006241505001821059453
y[1] (numeric) = 0.93883453000624150500182105945309
absolute error = 9e-32
relative error = 9.5863538380295478954855996470284e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 0.93783643311555473862005168248765
y[1] (numeric) = 0.93783643311555473862005168248773
absolute error = 8e-32
relative error = 8.5302721428975308663121297886443e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 0.93683839838842967638647599160376
y[1] (numeric) = 0.93683839838842967638647599160384
absolute error = 8e-32
relative error = 8.5393596310332481717620826920356e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 0.93584042682290096225659839894047
y[1] (numeric) = 0.93584042682290096225659839894056
absolute error = 9e-32
relative error = 9.6170241657055126618306326706863e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 0.93484251941694007859483867912573
y[1] (numeric) = 0.93484251941694007859483867912582
absolute error = 9e-32
relative error = 9.6272899585411315336530594942392e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 0.93384467716845434820313276914392
y[1] (numeric) = 0.933844677168454348203132769144
absolute error = 8e-32
relative error = 8.5667351280055497042608767315519e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 0.93284690107528593641369312534071
y[1] (numeric) = 0.93284690107528593641369312534079
absolute error = 8e-32
relative error = 8.5758981358875259620455793471990e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 0.93184919213521085324692654472165
y[1] (numeric) = 0.93184919213521085324692654472173
absolute error = 8e-32
relative error = 8.5850801476460409787461925278722e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 0.9308515513459379556355072925434
y[1] (numeric) = 0.93085155134593795563550729254347
absolute error = 7e-32
relative error = 7.5199960615401584436783423274454e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=400.5MB, alloc=4.5MB, time=17.75
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 0.92985397970510794971560331204142
y[1] (numeric) = 0.9298539797051079497156033120415
absolute error = 8e-32
relative error = 8.6035013825903118276018979485752e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 0.92885647821029239318625322498485
y[1] (numeric) = 0.92885647821029239318625322498492
absolute error = 7e-32
relative error = 7.5361481178314023416814201731954e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 0.92785904785899269773789176359814
y[1] (numeric) = 0.92785904785899269773789176359821
absolute error = 7e-32
relative error = 7.5442493298441103800003424357353e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 0.9268616896486391315510212052413
y[1] (numeric) = 0.92686168964863913155102120524136
absolute error = 6e-32
relative error = 6.4734577629101486991482982938421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 0.92586440457658982186602631109378
y[1] (numeric) = 0.92586440457658982186602631109384
absolute error = 6e-32
relative error = 6.4804305796202201618301200180302e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 0.92486719364012975762513019894427
y[1] (numeric) = 0.92486719364012975762513019894433
absolute error = 6e-32
relative error = 6.4874179139006509696380251229351e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 0.9238700578364697921874885080472
y[1] (numeric) = 0.92387005783646979218748850804725
absolute error = 5e-32
relative error = 5.4120165033912465896630588286034e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 0.92287299816274564611841914086875
y[1] (numeric) = 0.9228729981627456461184191408688
absolute error = 5e-32
relative error = 5.4178635738113407150510496607336e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 0.92187601561601691005376479240962
y[1] (numeric) = 0.92187601561601691005376479240967
absolute error = 5e-32
relative error = 5.4237228383243000591000621349179e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 0.92087911119326604764038540265872
y[1] (numeric) = 0.92087911119326604764038540265877
absolute error = 5e-32
relative error = 5.4295943291851298858572330728111e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 0.91988228589139739855377759160249
y[1] (numeric) = 0.91988228589139739855377759160254
absolute error = 5e-32
relative error = 5.4354780787574672999594818983644e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 0.91888554070723618159381805908709
y[1] (numeric) = 0.91888554070723618159381805908714
absolute error = 5e-32
relative error = 5.4413741195140184109236084231755e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 0.91788887663752749785962785370723
y[1] (numeric) = 0.91788887663752749785962785370727
absolute error = 4e-32
relative error = 4.3578259872295980436893885994309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 0.91689229467893533400455433577404
y[1] (numeric) = 0.91689229467893533400455433577408
absolute error = 4e-32
relative error = 4.3625625640148548663501032277203e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=404.3MB, alloc=4.5MB, time=17.92
x[1] = 1.655
y[1] (analytic) = 0.91589579582804156557226757929723
y[1] (numeric) = 0.91589579582804156557226757929727
absolute error = 4e-32
relative error = 4.3673090522090305863571501895469e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 0.91489938108134496041496787680184
y[1] (numeric) = 0.91489938108134496041496787680187
absolute error = 3e-32
relative error = 3.2790491086071309518807262483838e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 0.91390305143526018219470092868915
y[1] (numeric) = 0.91390305143526018219470092868918
absolute error = 3e-32
relative error = 3.2826239011770237789664723349877e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 0.91290680788611679396877721574358
y[1] (numeric) = 0.9129068078861167939687772157436
absolute error = 2e-32
relative error = 2.1908041244988675749741557271143e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 0.91191065143015826186029196928294
y[1] (numeric) = 0.91191065143015826186029196928297
absolute error = 3e-32
relative error = 3.2897959852701260719250398216292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 0.91091458306354095881474206834938
y[1] (numeric) = 0.9109145830635409588147420683494
absolute error = 2e-32
relative error = 2.1955955445061633774861881719379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 0.90991860378233316844373610724072
y[1] (numeric) = 0.90991860378233316844373610724074
absolute error = 2e-32
relative error = 2.1979988008668426288700797431462e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 0.90892271458251408895679378958945
y[1] (numeric) = 0.90892271458251408895679378958948
absolute error = 3e-32
relative error = 3.3006106590459216854215200071118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 0.90792691645997283718223071710679
y[1] (numeric) = 0.90792691645997283718223071710682
absolute error = 3e-32
relative error = 3.3042307102173669070040660908287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 0.906931210410507452678124552024
y[1] (numeric) = 0.90693121041050745267812455202403
absolute error = 3e-32
relative error = 3.3078583751044354120483713492724e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 0.90593559742982390193435844218195
y[1] (numeric) = 0.90593559742982390193435844218198
absolute error = 3e-32
relative error = 3.3114936740659290682249654067966e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 0.90494007851353508266673750664243
y[1] (numeric) = 0.90494007851353508266673750664246
absolute error = 3e-32
relative error = 3.3151366275298960048158077804762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 0.9039446546571598282041740876217
y[1] (numeric) = 0.90394465465715982820417408762173
absolute error = 3e-32
relative error = 3.3187872559939121416661847617193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 0.90294932685612191196993738147821
y[1] (numeric) = 0.90294932685612191196993738147823
absolute error = 2e-32
relative error = 2.2149637200169093709197568927494e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 0.90195409610574905205796296742169
y[1] (numeric) = 0.90195409610574905205796296742171
absolute error = 2e-32
relative error = 2.2174077468411554646851609641497e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=408.1MB, alloc=4.5MB, time=18.09
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 0.90095896340127191590521765755139
y[1] (numeric) = 0.90095896340127191590521765755141
absolute error = 2e-32
relative error = 2.2198569316072542984607383810842e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 0.89996392973782312506111499577539
y[1] (numeric) = 0.89996392973782312506111499577541
absolute error = 2e-32
relative error = 2.2223112881675587027950981014205e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 0.89896899611043626005497663611281
y[1] (numeric) = 0.89896899611043626005497663611283
absolute error = 2e-32
relative error = 2.2247708304217252782862602985032e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 0.89797416351404486536253473283439
y[1] (numeric) = 0.89797416351404486536253473283441
absolute error = 2e-32
relative error = 2.2272355723169075078362887037181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 0.89697943294348145447247037585631
y[1] (numeric) = 0.89697943294348145447247037585633
absolute error = 2e-32
relative error = 2.2297055278479497906042387735046e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 0.89598480539347651505398300476577
y[1] (numeric) = 0.89598480539347651505398300476579
absolute error = 2e-32
relative error = 2.2321807110575824026863275766184e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 0.89499028185865751422638563382611
y[1] (numeric) = 0.89499028185865751422638563382614
absolute error = 3e-32
relative error = 3.3519917040549260843746868380068e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 0.8939958633335479039317206182833
y[1] (numeric) = 0.89399586333354790393172061828333
absolute error = 3e-32
relative error = 3.3557202253862180933169999095296e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 0.89300155081256612641139058927513
y[1] (numeric) = 0.89300155081256612641139058927516
absolute error = 3e-32
relative error = 3.3594566518616001523735765345214e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 0.89200734529002461978779908062934
y[1] (numeric) = 0.89200734529002461978779908062937
absolute error = 3e-32
relative error = 3.3632010048354354159523866097855e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 0.89101324776012882375199526582718
y[1] (numeric) = 0.89101324776012882375199526582721
absolute error = 3e-32
relative error = 3.3669533057353991776100484031456e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 0.89001925921697618535831711740477
y[1] (numeric) = 0.8900192592169761853583171174048
absolute error = 3e-32
relative error = 3.3707135760627798126449377693583e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 0.88902538065455516492702719406629
y[1] (numeric) = 0.88902538065455516492702719406633
absolute error = 4e-32
relative error = 4.4993091165237082198667344578274e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 0.88803161306674424205593515279038
y[1] (numeric) = 0.88803161306674424205593515279042
absolute error = 4e-32
relative error = 4.5043441484997685142649266644668e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.5MB, time=18.26
x[1] = 1.684
y[1] (analytic) = 0.8870379574473109217420009742243
y[1] (numeric) = 0.88703795744731092174200097422434
absolute error = 4e-32
relative error = 4.5093898929771509771800300431736e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 0.88604441478991074061391277967999
y[1] (numeric) = 0.88604441478991074061391277968003
absolute error = 4e-32
relative error = 4.5144463790208944506542630985548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 0.88505098608808627327663300707122
y[1] (numeric) = 0.88505098608808627327663300707126
absolute error = 4e-32
relative error = 4.5195136357962239327981321504530e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 0.88405767233526613876890660116293
y[1] (numeric) = 0.88405767233526613876890660116297
absolute error = 4e-32
relative error = 4.5245916925689635480325675773391e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 0.88306447452476400713472476054181
y[1] (numeric) = 0.88306447452476400713472476054185
absolute error = 4e-32
relative error = 4.5296805787059515073164701686050e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 0.88207139364977760610973766976149
y[1] (numeric) = 0.88207139364977760610973766976153
absolute error = 4e-32
relative error = 4.5347803236754570693220748844076e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 0.88107843070338772792360953016691
y[1] (numeric) = 0.88107843070338772792360953016695
absolute error = 4e-32
relative error = 4.5398909570475995135885324005525e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 0.88008558667855723621930908696006
y[1] (numeric) = 0.88008558667855723621930908696009
absolute error = 3e-32
relative error = 3.4087593813710768525644280839128e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 0.87909286256813007309032873313374
y[1] (numeric) = 0.87909286256813007309032873313377
absolute error = 3e-32
relative error = 3.4126087558440377122680255050438e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 0.87810025936483026623682515297165
y[1] (numeric) = 0.87810025936483026623682515297168
absolute error = 3e-32
relative error = 3.4164663636132348151076284469000e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 0.87710777806126093624167434889121
y[1] (numeric) = 0.87710777806126093624167434889123
absolute error = 2e-32
relative error = 2.2802214847766536360645537504807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 0.8761154196499033039674337754915
y[1] (numeric) = 0.87611541964990330396743377549152
absolute error = 2e-32
relative error = 2.2828042460423790100949830137673e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 0.8751231851231156980752041837615
y[1] (numeric) = 0.87512318512311569807520418376153
absolute error = 3e-32
relative error = 3.4280888119515979374409805594990e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 0.87413107547313256266638365650396
y[1] (numeric) = 0.87413107547313256266638365650399
absolute error = 3e-32
relative error = 3.4319795785502977422256751171518e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 0.87313909169206346504830619313821
y[1] (numeric) = 0.87313909169206346504830619313823
absolute error = 2e-32
relative error = 2.2905857944399024257058419953600e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=415.8MB, alloc=4.5MB, time=18.43
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 0.87214723477189210362475707816069
y[1] (numeric) = 0.87214723477189210362475707816071
absolute error = 2e-32
relative error = 2.2931907827731574766105651953699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 0.87115550570447531591235714266513
y[1] (numeric) = 0.87115550570447531591235714266515
absolute error = 2e-32
relative error = 2.2958013660060204835770252677444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 0.8701639054815420866838079024554
y[1] (numeric) = 0.87016390548154208668380790245542
absolute error = 2e-32
relative error = 2.2984175594978456528011262447357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 0.86917243509469255623898942942333
y[1] (numeric) = 0.86917243509469255623898942942335
absolute error = 2e-32
relative error = 2.3010393786615065619608219589364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 0.86818109553539702880490268501088
y[1] (numeric) = 0.86818109553539702880490268501089
absolute error = 1e-32
relative error = 1.1518334194818096212187712020054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 0.86718988779499498106544791573178
y[1] (numeric) = 0.86718988779499498106544791573179
absolute error = 1e-32
relative error = 1.1531499779623831742218800887734e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 0.86619881286469407082203058089161
y[1] (numeric) = 0.86619881286469407082203058089162
absolute error = 1e-32
relative error = 1.1544693725598612095555011718573e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 0.86520787173556914578598615181773
y[1] (numeric) = 0.86520787173556914578598615181774
absolute error = 1e-32
relative error = 1.1557916110888401198152913628809e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 0.86421706539856125250381499009167
y[1] (numeric) = 0.86421706539856125250381499009168
absolute error = 1e-32
relative error = 1.1571167013912391537887820365919e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 0.86322639484447664541621837946659
y[1] (numeric) = 0.86322639484447664541621837946661
absolute error = 2e-32
relative error = 2.3168893026728294105869607779025e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 0.86223586106398579605192665235113
y[1] (numeric) = 0.86223586106398579605192665235114
absolute error = 1e-32
relative error = 1.1597754688212751607949814436292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 0.86124546504762240235731021694889
y[1] (numeric) = 0.8612454650476224023573102169489
absolute error = 1e-32
relative error = 1.1611091617703963089285015727582e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 0.86025520778578239816276415536018
y[1] (numeric) = 0.86025520778578239816276415536018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 0.8592650902687229627868569261786
y[1] (numeric) = 0.8592650902687229627868569261786
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=419.6MB, alloc=4.5MB, time=18.60
x[1] = 1.713
y[1] (analytic) = 0.85827511348656153077923356735148
y[1] (numeric) = 0.85827511348656153077923356735148
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 0.85728527842927480180326365631831
y[1] (numeric) = 0.85728527842927480180326365631831
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 0.8562955860866977506594241446967
y[1] (numeric) = 0.8562955860866977506594241446967
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 0.85530603744852263745040704405058
y[1] (numeric) = 0.85530603744852263745040704405057
absolute error = 1e-32
relative error = 1.1691721515062798778922174898218e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 0.85431663350429801788894179755044
y[1] (numeric) = 0.85431663350429801788894179755043
absolute error = 1e-32
relative error = 1.1705261969419082573277190777161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 0.85332737524342775374932202962082
y[1] (numeric) = 0.8533273752434277537493220296208
absolute error = 2e-32
relative error = 2.3437663644969343900133246245016e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 0.85233826365517002346362622196569
y[1] (numeric) = 0.85233826365517002346362622196567
absolute error = 2e-32
relative error = 2.3464862312096536264983980537722e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 0.85134929972863633286362171966881
y[1] (numeric) = 0.8513492997286363328636217196688
absolute error = 1e-32
relative error = 1.1746060052187103378326159677861e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 0.85036048445279052606934132538245
y[1] (numeric) = 0.85036048445279052606934132538244
absolute error = 1e-32
relative error = 1.1759718593268159003172466034440e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 0.84937181881644779652532159294548
y[1] (numeric) = 0.84937181881644779652532159294546
absolute error = 2e-32
relative error = 2.3546813723898778826601755470183e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 0.84838330380827369818549178411021
y[1] (numeric) = 0.8483833038082736981854917841102
absolute error = 1e-32
relative error = 1.1787124941180952181961111106232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 0.84739494041678315684770230340658
y[1] (numeric) = 0.84739494041678315684770230340657
absolute error = 1e-32
relative error = 1.1800872914206444203287895249687e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 0.84640672963033948163888127653277
y[1] (numeric) = 0.84640672963033948163888127653276
absolute error = 1e-32
relative error = 1.1814650864564143958130414367347e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 0.84541867243715337665180778703345
y[1] (numeric) = 0.84541867243715337665180778703344
absolute error = 1e-32
relative error = 1.1828458876088259926356310586891e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 0.84443076982528195273449013440995
y[1] (numeric) = 0.84443076982528195273449013440995
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=423.4MB, alloc=4.5MB, time=18.77
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 0.84344302278262773943313732420182
y[1] (numeric) = 0.84344302278262773943313732420182
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 0.84245543229693769708971184698582
y[1] (numeric) = 0.84245543229693769708971184698582
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 0.84146799935580222909505164865743
y[1] (numeric) = 0.84146799935580222909505164865743
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 0.84048072494665419429854903879041
y[1] (numeric) = 0.8404807249466541942985490387904
absolute error = 1e-32
relative error = 1.1897952806276081915678241252262e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 0.83949361005676791957537412731332
y[1] (numeric) = 0.83949361005676791957537412731332
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 0.83850665567325821255223022219729
y[1] (numeric) = 0.83850665567325821255223022219729
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 0.83751986278307937449262846231721
y[1] (numeric) = 0.8375198627830793744926284623172
absolute error = 1e-32
relative error = 1.1940015329033498509087361286828e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 0.83653323237302421334266880012963
y[1] (numeric) = 0.83653323237302421334266880012962
absolute error = 1e-32
relative error = 1.1954097713049171613027366985446e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 0.83554676542972305693831428830411
y[1] (numeric) = 0.8355467654297230569383142883041
absolute error = 1e-32
relative error = 1.1968211013128611391793939376481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 0.83456046293964276637514546295136
y[1] (numeric) = 0.83456046293964276637514546295135
absolute error = 1e-32
relative error = 1.1982355316445444671407487368390e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 0.83357432588908574954158145361176
y[1] (numeric) = 0.83357432588908574954158145361174
absolute error = 2e-32
relative error = 2.3993061420969403061616871287290e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 0.83258835526418897481655428670076
y[1] (numeric) = 0.83258835526418897481655428670075
absolute error = 1e-32
relative error = 1.2010737283044146864631081980748e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 0.83160255205092298493262268465491
y[1] (numeric) = 0.83160255205092298493262268465489
absolute error = 2e-32
relative error = 2.4049950244471237199943640789586e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 0.83061691723509091100551149758217
y[1] (numeric) = 0.83061691723509091100551149758215
absolute error = 2e-32
relative error = 2.4078488632972745210339346072393e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 0.82963145180232748673106273779535
y[1] (numeric) = 0.82963145180232748673106273779533
memory used=427.2MB, alloc=4.5MB, time=18.94
absolute error = 2e-32
relative error = 2.4107089909080868657723274921916e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 0.82864615673809806275058402019512
y[1] (numeric) = 0.8286461567380980627505840201951
absolute error = 2e-32
relative error = 2.4135754250919914415643337632898e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 0.82766103302769762118558004307222
y[1] (numeric) = 0.8276610330276976211855800430722
absolute error = 2e-32
relative error = 2.4164481837253175764680384894293e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 0.82667608165624979034285257451519
y[1] (numeric) = 0.82667608165624979034285257451517
absolute error = 2e-32
relative error = 2.4193272847485676516301790612060e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 0.82569130360870585959095423924158
y[1] (numeric) = 0.82569130360870585959095423924156
absolute error = 2e-32
relative error = 2.4222127461666928908326376740392e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 0.8247066998698437944089812293167
y[1] (numeric) = 0.82470669986984379440898122931668
absolute error = 2e-32
relative error = 2.4251045860493705351024362269799e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 0.82372227142426725160868988988512
y[1] (numeric) = 0.8237222714242672516086898898851
absolute error = 2e-32
relative error = 2.4280028225312824103386554903208e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 0.82273801925640459473092195771636
y[1] (numeric) = 0.82273801925640459473092195771634
absolute error = 2e-32
relative error = 2.4309074738123948959611207717230e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 0.82175394435050790961732305605737
y[1] (numeric) = 0.82175394435050790961732305605735
absolute error = 2e-32
relative error = 2.4338185581582403026374863254585e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 0.82077004769065202015833887399131
y[1] (numeric) = 0.82077004769065202015833887399129
absolute error = 2e-32
relative error = 2.4367360939001996671975133275357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 0.81978633026073350421847328222446
y[1] (numeric) = 0.81978633026073350421847328222445
absolute error = 1e-32
relative error = 1.2198300497178934864479371656048e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 0.81880279304446970973979245996114
y[1] (numeric) = 0.81880279304446970973979245996112
absolute error = 2e-32
relative error = 2.4425905932289348032377336984453e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 0.81781943702539777102465892928038
y[1] (numeric) = 0.81781943702539777102465892928037
absolute error = 1e-32
relative error = 1.2227637969051407188173257874112e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 0.81683626318687362519867921419863
y[1] (numeric) = 0.81683626318687362519867921419861
absolute error = 2e-32
relative error = 2.4484711197774593972120415656513e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 0.81585327251207102885484866138848
y[1] (numeric) = 0.81585327251207102885484866138846
absolute error = 2e-32
relative error = 2.4514211897953854491434824334503e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=431.0MB, alloc=4.5MB, time=19.11
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 0.81487046598398057487987677832708
y[1] (numeric) = 0.81487046598398057487987677832706
absolute error = 2e-32
relative error = 2.4543778225965520779416449516088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 0.81388784458540870946367626246655
y[1] (numeric) = 0.81388784458540870946367626246654
absolute error = 1e-32
relative error = 1.2286705184906602160952248114931e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 0.81290540929897674929299871185581
y[1] (numeric) = 0.81290540929897674929299871185579
absolute error = 2e-32
relative error = 2.4603108518182147552583224392611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 0.8119231611071198989301998234959
y[1] (numeric) = 0.81192316110711989893019982349588
absolute error = 2e-32
relative error = 2.4632872860442183085880673782088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 0.81094110099208626837811670058202
y[1] (numeric) = 0.81094110099208626837811670058199
absolute error = 3e-32
relative error = 3.6994055379976061943223936505358e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 0.80995922993593589083203970367277
y[1] (numeric) = 0.80995922993593589083203970367274
absolute error = 3e-32
relative error = 3.7038901331333509488313207950550e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 0.80897754892053974061976109373325
y[1] (numeric) = 0.80897754892053974061976109373322
absolute error = 3e-32
relative error = 3.7083847431897880933350613996067e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 0.80799605892757875133068252692121
y[1] (numeric) = 0.80799605892757875133068252692118
absolute error = 3e-32
relative error = 3.7128893969876307110811210103593e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 0.80701476093854283413496327192716
y[1] (numeric) = 0.80701476093854283413496327192713
absolute error = 3e-32
relative error = 3.7174041234525338772612535200441e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 0.80603365593472989629369083063828
y[1] (numeric) = 0.80603365593472989629369083063825
absolute error = 3e-32
relative error = 3.7219289516155522526462116591457e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 0.80505274489724485986105545187381
y[1] (numeric) = 0.80505274489724485986105545187379
absolute error = 2e-32
relative error = 2.4843092737424000058181030933317e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 0.80407202880699868057950983593561
y[1] (numeric) = 0.80407202880699868057950983593559
absolute error = 2e-32
relative error = 2.4873393531266087319646633199152e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 0.80309150864470736696889513473233
y[1] (numeric) = 0.80309150864470736696889513473231
absolute error = 2e-32
relative error = 2.4903762254630092551293765693607e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 0.80211118539089099961051415826961
y[1] (numeric) = 0.80211118539089099961051415826958
absolute error = 3e-32
relative error = 3.7401298655846781368202304862491e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 0.80113106002587275062713250335123
y[1] (numeric) = 0.8011310600258727506271325033512
absolute error = 3e-32
relative error = 3.7447056414254044335359862894614e-30 %
Correct digits = 31
h = 0.001
memory used=434.8MB, alloc=4.5MB, time=19.28
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 0.80015113352977790335988812440853
y[1] (numeric) = 0.80015113352977790335988812440849
absolute error = 4e-32
relative error = 4.9990555938531812448348319826058e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 0.79917140688253287224308966946659
y[1] (numeric) = 0.79917140688253287224308966946655
absolute error = 4e-32
relative error = 5.0051840763466461173617347762547e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 0.79819188106386422287788370636748
y[1] (numeric) = 0.79819188106386422287788370636744
absolute error = 4e-32
relative error = 5.0113263425689436918043108813953e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 0.79721255705329769230577076550139
y[1] (numeric) = 0.79721255705329769230577076550134
absolute error = 5e-32
relative error = 6.2718530406511455720238516746080e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 0.79623343583015720948294992544812
y[1] (numeric) = 0.79623343583015720948294992544807
absolute error = 5e-32
relative error = 6.2795654829377686732270030279686e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 0.79525451837356391595647146710275
y[1] (numeric) = 0.7952545183735639159564714671027
absolute error = 5e-32
relative error = 6.2872953054399287863273991992033e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 0.79427580566243518674317692005105
y[1] (numeric) = 0.794275805662435186743176920051
absolute error = 5e-32
relative error = 6.2950425587116333060952460085819e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 0.79329729867548365141240562217317
y[1] (numeric) = 0.79329729867548365141240562217312
absolute error = 5e-32
relative error = 6.3028072934928321352264583707893e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 0.79231899839121621537344670968737
y[1] (numeric) = 0.79231899839121621537344670968733
absolute error = 4e-32
relative error = 5.0484716485681894860067555943848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 0.79134090578793308136871525010032
y[1] (numeric) = 0.79134090578793308136871525010027
absolute error = 5e-32
relative error = 6.3183894114781441276899019913837e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 0.79036302184372677117363102480614
y[1] (numeric) = 0.7903630218437267711736310248061
absolute error = 4e-32
relative error = 5.0609655176794106422993527378687e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 0.78938534753648114750417826137413
y[1] (numeric) = 0.78938534753648114750417826137409
absolute error = 4e-32
relative error = 5.0672336552524386723362627508162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 0.78840788384387043613312440788366
y[1] (numeric) = 0.78840788384387043613312440788362
absolute error = 4e-32
relative error = 5.0735159832472271900010731935118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 0.78743063174335824821587583300617
y[1] (numeric) = 0.78743063174335824821587583300613
absolute error = 4e-32
relative error = 5.0798125431621410301093020340718e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=438.7MB, alloc=4.5MB, time=19.45
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 0.78645359221219660282694812589704
y[1] (numeric) = 0.786453592212196602826948125897
absolute error = 4e-32
relative error = 5.0861233766489579437464948130024e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 0.7854767662274249497080284593455
y[1] (numeric) = 0.78547676622742494970802845934546
absolute error = 4e-32
relative error = 5.0924485255135479719515442291952e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 0.78450015476586919222860726803893
y[1] (numeric) = 0.78450015476586919222860726803889
absolute error = 4e-32
relative error = 5.0987880317165563345502550720917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 0.78352375880414071056015628122829
y[1] (numeric) = 0.78352375880414071056015628122825
absolute error = 4e-32
relative error = 5.1051419373740898549365321551175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 0.78254757931863538506482973553539
y[1] (numeric) = 0.78254757931863538506482973553535
absolute error = 4e-32
relative error = 5.1115102847584069417371074790401e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 0.78157161728553261989966537911928
y[1] (numeric) = 0.78157161728553261989966537911924
absolute error = 4e-32
relative error = 5.1178931162986111484352875648988e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 0.78059587368079436683726166291949
y[1] (numeric) = 0.78059587368079436683726166291945
absolute error = 4e-32
relative error = 5.1242904745813483321698011113426e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 0.7796203494801641493039072982175
y[1] (numeric) = 0.77962034948016414930390729821746
absolute error = 4e-32
relative error = 5.1307024023515074330664692918088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 0.77864504565916608663613914230561
y[1] (numeric) = 0.77864504565916608663613914230557
absolute error = 4e-32
relative error = 5.1371289425129248956031146294007e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 0.77766996319310391855670415562399
y[1] (numeric) = 0.77766996319310391855670415562395
absolute error = 4e-32
relative error = 5.1435701381290927536518780639140e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 0.77669510305706002987090095432264
y[1] (numeric) = 0.7766951030570600298709009543226
absolute error = 4e-32
relative error = 5.1500260324238704009879362252178e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 0.77572046622589447538427626182547
y[1] (numeric) = 0.77572046622589447538427626182544
absolute error = 3e-32
relative error = 3.8673725015866500518996330973703e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 0.7747460536742440050426513416188
y[1] (numeric) = 0.77474605367424400504265134161877
absolute error = 3e-32
relative error = 3.8722365680631195263107860106688e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 0.77377186637652108929545327115649
y[1] (numeric) = 0.77377186637652108929545327115646
absolute error = 3e-32
relative error = 3.8771117565292631848046457845547e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 0.77279790530691294468332569346942
y[1] (numeric) = 0.77279790530691294468332569346939
absolute error = 3e-32
relative error = 3.8819980998894717913447851469777e-30 %
Correct digits = 31
h = 0.001
memory used=442.5MB, alloc=4.5MB, time=19.62
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 0.77182417143938055965099345878714
y[1] (numeric) = 0.77182417143938055965099345878711
absolute error = 3e-32
relative error = 3.8868956311711228103933410036092e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 0.77085066574765772058635534322606
y[1] (numeric) = 0.77085066574765772058635534322603
absolute error = 3e-32
relative error = 3.8918043835251311687531781173186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 0.76987738920525003808677880537013
y[1] (numeric) = 0.7698773892052500380867788053701
absolute error = 3e-32
relative error = 3.8967243902265028990120534166385e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 0.76890434278543397345357051436826
y[1] (numeric) = 0.76890434278543397345357051436822
absolute error = 4e-32
relative error = 5.2022075795665222424388193266490e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 0.76793152746125586541559615499667
y[1] (numeric) = 0.76793152746125586541559615499664
absolute error = 3e-32
relative error = 3.9065983003951583044201988880214e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 0.76695894420553095708302278598548
y[1] (numeric) = 0.76695894420553095708302278598545
absolute error = 3e-32
relative error = 3.9115522710379330527154035891966e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 0.7659865939908424231321567977858
y[1] (numeric) = 0.76598659399084242313215679778577
absolute error = 3e-32
relative error = 3.9165176303801810547802741555297e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 0.76501447778954039722235028485855
y[1] (numeric) = 0.76501447778954039722235028485852
absolute error = 3e-32
relative error = 3.9214944123257705932107269034774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 0.76404259657374099964594841549749
y[1] (numeric) = 0.76404259657374099964594841549746
absolute error = 3e-32
relative error = 3.9264826509060444043314734005869e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 0.76307095131532536521225014915802
y[1] (numeric) = 0.76307095131532536521225014915799
absolute error = 3e-32
relative error = 3.9314823802803939821482710899431e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 0.7620995429859386713664544172501
y[1] (numeric) = 0.76209954298593867136645441725007
absolute error = 3e-32
relative error = 3.9364936347368369051257848756066e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 0.76112837255698916654456364836806
y[1] (numeric) = 0.76112837255698916654456364836803
absolute error = 3e-32
relative error = 3.9415164486925972039852193495365e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 0.76015744099964719876521628297285
y[1] (numeric) = 0.76015744099964719876521628297282
absolute error = 3e-32
relative error = 3.9465508566946887888391776230351e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 0.75918674928484424445941968561325
y[1] (numeric) = 0.75918674928484424445941968561322
absolute error = 3e-32
relative error = 3.9515968934205019541054280760856e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=446.3MB, alloc=4.5MB, time=19.79
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 0.75821629838327193753915462487216
y[1] (numeric) = 0.75821629838327193753915462487212
absolute error = 4e-32
relative error = 5.2755394582378573063552299503052e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 0.75724608926538109870582225235262
y[1] (numeric) = 0.75724608926538109870582225235258
absolute error = 4e-32
relative error = 5.2822986565443691302233539817499e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 0.75627612290138076499950427217572
y[1] (numeric) = 0.75627612290138076499950427217568
absolute error = 4e-32
relative error = 5.2890734995762974555651933759367e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 0.75530640026123721959000675164926
y[1] (numeric) = 0.75530640026123721959000675164922
absolute error = 4e-32
relative error = 5.2958640342734064008456688439930e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 0.7543369223146730218106577819826
y[1] (numeric) = 0.75433692231467302181065778198256
absolute error = 4e-32
relative error = 5.3026703077532677243042712581198e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 0.75336769003116603743582895516913
y[1] (numeric) = 0.75336769003116603743582895516909
absolute error = 4e-32
relative error = 5.3094923673120679785392760710381e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 0.75239870437994846920315037943418
y[1] (numeric) = 0.75239870437994846920315037943413
absolute error = 5e-32
relative error = 6.6454128255317749320793884125302e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 0.75142996633000588758138871095238
y[1] (numeric) = 0.75142996633000588758138871095234
absolute error = 4e-32
relative error = 5.3231840347491783789915020003269e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 0.75046147685007626178495743387593
y[1] (numeric) = 0.75046147685007626178495743387589
absolute error = 4e-32
relative error = 5.3300537381202600773950864872439e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 0.74949323690864899103602837408245
y[1] (numeric) = 0.74949323690864899103602837408241
absolute error = 4e-32
relative error = 5.3369394185574683186431698323202e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 0.74852524747396393607521318445046
y[1] (numeric) = 0.74852524747396393607521318445042
absolute error = 4e-32
relative error = 5.3438411242623216782212793054114e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 0.74755750951401045092178329090005
y[1] (numeric) = 0.74755750951401045092178329090001
absolute error = 4e-32
relative error = 5.3507589036198872603078821717626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 0.74659002399652641488439653889832
y[1] (numeric) = 0.74659002399652641488439653889827
absolute error = 5e-32
relative error = 6.6971160064995229597089371705974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 0.74562279188899726482329852962206
y[1] (numeric) = 0.74562279188899726482329852962201
absolute error = 5e-32
relative error = 6.7058035971952457977524323964575e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 0.74465581415865502766496638349591
y[1] (numeric) = 0.74465581415865502766496638349587
absolute error = 4e-32
relative error = 5.3716091702303786732963212342372e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=450.1MB, alloc=4.5MB, time=19.97
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 0.74368909177247735317016241638147
y[1] (numeric) = 0.74368909177247735317016241638143
absolute error = 4e-32
relative error = 5.3785917317498471888637100091443e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 0.74272262569718654695636496028308
y[1] (numeric) = 0.74272262569718654695636496028303
absolute error = 5e-32
relative error = 6.7319882645375833915067152543627e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 0.74175641689924860377554330605894
y[1] (numeric) = 0.74175641689924860377554330605889
absolute error = 5e-32
relative error = 6.7407573242189298269667546311852e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 0.74079046634487224104824349028205
y[1] (numeric) = 0.740790466344872241048243490282
absolute error = 5e-32
relative error = 6.7495469058483652684048400848859e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 0.73982477500000793265495139208461
y[1] (numeric) = 0.73982477500000793265495139208456
absolute error = 5e-32
relative error = 6.7583570717808772871729136966434e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 0.73885934383034694298569934854227
y[1] (numeric) = 0.73885934383034694298569934854221
absolute error = 6e-32
relative error = 8.1206254615326201172292072176214e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 0.73789417380132036124888223891112
y[1] (numeric) = 0.73789417380132036124888223891106
absolute error = 6e-32
relative error = 8.1312472886057957599434919573780e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 0.73692926587809813604024872882094
y[1] (numeric) = 0.73692926587809813604024872882088
absolute error = 6e-32
relative error = 8.1418940430471546233994233892472e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 0.73596462102558811017303310535288
y[1] (numeric) = 0.73596462102558811017303310535282
absolute error = 6e-32
relative error = 8.1525658008381237772776746281676e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 0.73500024020843505577019287278939
y[1] (numeric) = 0.73500024020843505577019287278933
absolute error = 6e-32
relative error = 8.1632626382523220628188440377500e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 0.7340361243910197096197170167184
y[1] (numeric) = 0.73403612439101970961971701671834
absolute error = 6e-32
relative error = 8.1739846318569069535538045844524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 0.73307227453745780879396958110303
y[1] (numeric) = 0.73307227453745780879396958110297
absolute error = 6e-32
relative error = 8.1847318585139286685897898727056e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 0.73210869161159912653403293889297
y[1] (numeric) = 0.7321086916115991265340329388929
absolute error = 7e-32
relative error = 9.5614217946119735136320780392915e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 0.73114537657702650840001487175385
y[1] (numeric) = 0.73114537657702650840001487175379
absolute error = 6e-32
relative error = 8.2063023199161229810798362120181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=453.9MB, alloc=4.5MB, time=20.13
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 0.73018233039705490868828330852729
y[1] (numeric) = 0.73018233039705490868828330852723
absolute error = 6e-32
relative error = 8.2171257098721491953750354918786e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 0.72921955403473042711659230510644
y[1] (numeric) = 0.72921955403473042711659230510638
absolute error = 6e-32
relative error = 8.2279746433050791810411647007937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 0.72825704845282934577806258052091
y[1] (numeric) = 0.72825704845282934577806258052084
absolute error = 7e-32
relative error = 9.6119907316673281620671424217331e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 0.7272948146138571663649796551702
y[1] (numeric) = 0.72729481461385716636497965517013
absolute error = 7e-32
relative error = 9.6247076967220121085574187264309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 0.72633285348004764766337236732736
y[1] (numeric) = 0.72633285348004764766337236732729
absolute error = 7e-32
relative error = 9.6374547378122830465593581395779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 0.725371166013361843319334273254
y[1] (numeric) = 0.72537116601336184331933427325392
absolute error = 8e-32
relative error = 1.1028836511338023621607462842344e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 0.7244097531754871398780501645252
y[1] (numeric) = 0.72440975317548713987805016452512
absolute error = 8e-32
relative error = 1.1043473621015718710138980444768e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 0.72344861592783629509648966345762
y[1] (numeric) = 0.72344861592783629509648966345754
absolute error = 8e-32
relative error = 1.1058145421620374961068301539860e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 0.72248775523154647653072958386701
y[1] (numeric) = 0.72248775523154647653072958386693
absolute error = 8e-32
relative error = 1.1072852020081807655832016226688e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 0.72152717204747830039886646975267
y[1] (numeric) = 0.72152717204747830039886646975259
absolute error = 8e-32
relative error = 1.1087593523745464576875403414898e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 0.72056686733621487072048044891629
y[1] (numeric) = 0.7205668673362148707204804489162
absolute error = 9e-32
relative error = 1.2490166295421158122314376560271e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 0.71960684205806081873361126197111
y[1] (numeric) = 0.71960684205806081873361126197102
absolute error = 9e-32
relative error = 1.2506829387919915366752140337190e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 0.71864709717304134259020704968549
y[1] (numeric) = 0.7186470971730413425902070496854
absolute error = 9e-32
relative error = 1.2523532113889428525780296177424e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 0.71768763364090124733100620313194
y[1] (numeric) = 0.71768763364090124733100620313185
absolute error = 9e-32
relative error = 1.2540274595985580219074935297551e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 0.71672845242110398514081230167979
y[1] (numeric) = 0.7167284524211039851408123016797
absolute error = 9e-32
relative error = 1.2557056957342853292536461737611e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=457.7MB, alloc=4.5MB, time=20.30
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 0.71576955447283069588512188347665
y[1] (numeric) = 0.71576955447283069588512188347656
absolute error = 9e-32
relative error = 1.2573879321576569727082029941310e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 0.71481094075497924792906451171088
y[1] (numeric) = 0.71481094075497924792906451171079
absolute error = 9e-32
relative error = 1.2590741812785141782125560767396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 0.71385261222616327923961431763501
y[1] (numeric) = 0.71385261222616327923961431763492
absolute error = 9e-32
relative error = 1.2607644555552335450204690168326e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 0.71289456984471123877203191805883
y[1] (numeric) = 0.71289456984471123877203191805874
absolute error = 9e-32
relative error = 1.2624587674949546299751993930823e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 0.71193681456866542814149532079015
y[1] (numeric) = 0.71193681456866542814149532079006
absolute error = 9e-32
relative error = 1.2641571296538087783550030335095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 0.71097934735578104358087814631263
y[1] (numeric) = 0.71097934735578104358087814631254
absolute error = 9e-32
relative error = 1.2658595546371492090956186611305e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 0.71002216916352521818563320784249
y[1] (numeric) = 0.7100221691635252181856332078424
absolute error = 9e-32
relative error = 1.2675660550997823622534041250472e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 0.70906528094907606444673920480082
y[1] (numeric) = 0.70906528094907606444673920480073
absolute error = 9e-32
relative error = 1.2692766437462005166282999503575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 0.70810868366932171707266799667491
y[1] (numeric) = 0.70810868366932171707266799667482
absolute error = 9e-32
relative error = 1.2709913333308156855217361066758e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 0.70715237828085937610132963522165
y[1] (numeric) = 0.70715237828085937610132963522156
absolute error = 9e-32
relative error = 1.2727101366581947986609774642816e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 0.70619636573999435030295204298812
y[1] (numeric) = 0.70619636573999435030295204298803
absolute error = 9e-32
relative error = 1.2744330665832961783782261785651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 0.70524064700273910087485193519011
y[1] (numeric) = 0.70524064700273910087485193519002
absolute error = 9e-32
relative error = 1.2761601360117073181900690529575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 0.70428522302481228542905329009783
y[1] (numeric) = 0.70428522302481228542905329009774
absolute error = 9e-32
relative error = 1.2778913578998839719805786496329e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 0.70333009476163780227370938023076
y[1] (numeric) = 0.70333009476163780227370938023066
absolute error = 1.0e-31
relative error = 1.4218074947282117356106138380443e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=461.5MB, alloc=4.5MB, time=20.47
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 0.70237526316834383498928408285988
y[1] (numeric) = 0.70237526316834383498928408285978
absolute error = 1.0e-31
relative error = 1.4237403457079354603844541123027e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 0.7014207291997618973004478935565
y[1] (numeric) = 0.7014207291997618973004478935564
absolute error = 1.0e-31
relative error = 1.4256778540618292547401716789581e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 0.70046649381042587824464377081185
y[1] (numeric) = 0.70046649381042587824464377081175
absolute error = 1.0e-31
relative error = 1.4276200344147222182828953413139e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 0.69951255795457108763827764308229
y[1] (numeric) = 0.69951255795457108763827764308219
absolute error = 1.0e-31
relative error = 1.4295669014493141801196367875826e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 0.69855892258613330184148811198984
y[1] (numeric) = 0.69855892258613330184148811198973
absolute error = 1.1e-31
relative error = 1.5746703168970953145242672800822e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 0.69760558865874780982244958682895
y[1] (numeric) = 0.69760558865874780982244958682884
absolute error = 1.1e-31
relative error = 1.5768222300439368176035967419270e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 0.69665255712574845952216278599691
y[1] (numeric) = 0.6966525571257484595221627859968
absolute error = 1.1e-31
relative error = 1.5789793473785323082505238224469e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 0.69569982894016670452068624047776
y[1] (numeric) = 0.69569982894016670452068624047765
absolute error = 1.1e-31
relative error = 1.5811416853095200597667311566458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 0.69474740505473065100576213306893
y[1] (numeric) = 0.69474740505473065100576213306882
absolute error = 1.1e-31
relative error = 1.5833092603107232238452800223571e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 0.69379528642186410504478950464526
y[1] (numeric) = 0.69379528642186410504478950464515
absolute error = 1.1e-31
relative error = 1.5854820889214603534977099214421e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 0.69284347399368562016109755540781
y[1] (numeric) = 0.6928434739936856201610975554077
absolute error = 1.1e-31
relative error = 1.5876601877468576538552152516458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 0.69189196872200754521547146476482
y[1] (numeric) = 0.69189196872200754521547146476471
absolute error = 1.1e-31
relative error = 1.5898435734581629718396711738850e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 0.69094077155833507259388284823962
y[1] (numeric) = 0.69094077155833507259388284823951
absolute error = 1.1e-31
relative error = 1.5920322627930615357790666714086e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 0.68998988345386528670237666359575
y[1] (numeric) = 0.68998988345386528670237666359563
absolute error = 1.2e-31
relative error = 1.7391559336974474066777997281375e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 0.68903930535948621277006607121302
y[1] (numeric) = 0.6890393053594862127700660712129
absolute error = 1.2e-31
relative error = 1.7415552214019705437968762794008e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=465.4MB, alloc=4.5MB, time=20.64
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 0.68808903822577586596118644564052
y[1] (numeric) = 0.6880890382257758659611864456404
absolute error = 1.2e-31
relative error = 1.7439603500939014258145695442938e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 0.6871390830030013007971594261932
y[1] (numeric) = 0.68713908300300130079715942619308
absolute error = 1.2e-31
relative error = 1.7463713383259246429883919561433e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 0.68618944064111766088961758444877
y[1] (numeric) = 0.68618944064111766088961758444865
absolute error = 1.2e-31
relative error = 1.7487882047249532094160241177273e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 0.68524011208976722898533997554115
y[1] (numeric) = 0.68524011208976722898533997554103
absolute error = 1.2e-31
relative error = 1.7512109679924847190419286919534e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 0.68429109829827847732404852823566
y[1] (numeric) = 0.68429109829827847732404852823554
absolute error = 1.2e-31
relative error = 1.7536396469049594977284164094673e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 0.68334240021566511831001491591049
y[1] (numeric) = 0.68334240021566511831001491591037
absolute error = 1.2e-31
relative error = 1.7560742603141207641852506359650e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 0.6823940187906251554984272367584
y[1] (numeric) = 0.68239401879062515549842723675828
absolute error = 1.2e-31
relative error = 1.7585148271473768126442094830410e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 0.68144595497153993489746551676297
y[1] (numeric) = 0.68144595497153993489746551676285
absolute error = 1.2e-31
relative error = 1.7609613664081652302580979627195e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 0.68049820970647319658703473329477
y[1] (numeric) = 0.68049820970647319658703473329464
absolute error = 1.3e-31
relative error = 1.9103650552743457591556507006202e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 0.6795507839431701266551037405154
y[1] (numeric) = 0.67955078394317012665510374051527
absolute error = 1.3e-31
relative error = 1.9130284751591386081727688320374e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 0.67860367862905640945259816017155
y[1] (numeric) = 0.67860367862905640945259816017142
absolute error = 1.3e-31
relative error = 1.9156984274330998035718656481062e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 0.67765689471123728016779498280709
y[1] (numeric) = 0.67765689471123728016779498280696
absolute error = 1.3e-31
relative error = 1.9183749330167372727991459033495e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 0.67671043313649657772116630491969
y[1] (numeric) = 0.67671043313649657772116630491956
absolute error = 1.3e-31
relative error = 1.9210580129149304184486954658468e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 0.67576429485129579798161930713938
y[1] (numeric) = 0.67576429485129579798161930713925
absolute error = 1.3e-31
relative error = 1.9237476882173382138531955096171e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=469.2MB, alloc=4.5MB, time=20.81
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 0.67481848080177314730507925711004
y[1] (numeric) = 0.67481848080177314730507925710991
absolute error = 1.3e-31
relative error = 1.9264439800988096042794411236491e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 0.67387299193374259639636199841203
y[1] (numeric) = 0.67387299193374259639636199841189
absolute error = 1.4e-31
relative error = 2.0775428259597805539051190251997e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 0.67292782919269293449528206357461
y[1] (numeric) = 0.67292782919269293449528206357447
absolute error = 1.4e-31
relative error = 2.0804608447826726671401982856872e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 0.67198299352378682388794222499124
y[1] (numeric) = 0.6719829935237868238879422249911
absolute error = 1.4e-31
relative error = 2.0833860581182146579799535699015e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 0.67103848587185985474414997236936
y[1] (numeric) = 0.67103848587185985474414997236922
absolute error = 1.4e-31
relative error = 2.0863184891415321210780174158450e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 0.67009430718141960028190607921944
y[1] (numeric) = 0.6700943071814196002819060792193
absolute error = 1.4e-31
relative error = 2.0892581611217413603897153455679e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 0.66915045839664467225991009381604
y[1] (numeric) = 0.6691504583966446722599100938159
absolute error = 1.4e-31
relative error = 2.0922050974224065984759084871514e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 0.66820694046138377679902726204662
y[1] (numeric) = 0.66820694046138377679902726204647
absolute error = 1.5e-31
relative error = 2.2448135587521426252371329094886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 0.66726375431915477053366106060247
y[1] (numeric) = 0.66726375431915477053366106060233
absolute error = 1.4e-31
relative error = 2.0981208569143630111813448834459e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 0.66632090091314371709397518906076
y[1] (numeric) = 0.66632090091314371709397518906061
absolute error = 1.5e-31
relative error = 2.2511675649741145473872185847527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 0.66537838118620394391990853855675
y[1] (numeric) = 0.6653783811862039439199085385566
absolute error = 1.5e-31
relative error = 2.2543563818918696588831887299050e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 0.66443619608085509940792632295296
y[1] (numeric) = 0.66443619608085509940792632295281
absolute error = 1.5e-31
relative error = 2.2575531087073187069068053080939e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 0.66349434653928221039145022567538
y[1] (numeric) = 0.66349434653928221039145022567523
absolute error = 1.5e-31
relative error = 2.2607577710704614686459940591353e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 0.66255283350333473995591008170803
y[1] (numeric) = 0.66255283350333473995591008170788
absolute error = 1.5e-31
relative error = 2.2639703947359999441700015630007e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 0.66161165791452564558935927961579
y[1] (numeric) = 0.66161165791452564558935927961564
absolute error = 1.5e-31
relative error = 2.2671910055638510038560740084181e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=473.0MB, alloc=4.5MB, time=20.98
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 0.66067082071403043766959573290151
y[1] (numeric) = 0.66067082071403043766959573290137
absolute error = 1.4e-31
relative error = 2.1190583208850178364031153639966e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 0.65973032284268623828872993349806
y[1] (numeric) = 0.65973032284268623828872993349791
absolute error = 1.5e-31
relative error = 2.2736562926753291348096128675345e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 0.65879016524099084041614126274864
y[1] (numeric) = 0.65879016524099084041614126274849
absolute error = 1.5e-31
relative error = 2.2769010212095192850281055203444e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 0.65785034884910176740076339684095
y[1] (numeric) = 0.6578503488491017674007633968408
absolute error = 1.5e-31
relative error = 2.2801538414081941677633077197527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 0.65691087460683533281363930433116
y[1] (numeric) = 0.656910874606835332813639304331
absolute error = 1.6e-31
relative error = 2.4356424316428138688095629344468e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 0.65597174345366570063168599312442
y[1] (numeric) = 0.65597174345366570063168599312426
absolute error = 1.6e-31
relative error = 2.4391294533146538716540817825780e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 0.65503295632872394576360882306897
y[1] (numeric) = 0.65503295632872394576360882306881
absolute error = 1.6e-31
relative error = 2.4426251909026858325352424784099e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 0.65409451417079711491890485817105
y[1] (numeric) = 0.65409451417079711491890485817088
absolute error = 1.7e-31
relative error = 2.5990127774655148934203113558266e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 0.6531564179183272878208943893491
y[1] (numeric) = 0.65315641791832728782089438934893
absolute error = 1.7e-31
relative error = 2.6027456109488512951555440745558e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 0.65221866850941063876471941461754
y[1] (numeric) = 0.65221866850941063876471941461737
absolute error = 1.7e-31
relative error = 2.6064877963171507791703293433380e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 0.65128126688179649852124751862336
y[1] (numeric) = 0.65128126688179649852124751862319
absolute error = 1.7e-31
relative error = 2.6102393642293099035958870440393e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 0.65034421397288641658781924755345
y[1] (numeric) = 0.65034421397288641658781924755328
absolute error = 1.7e-31
relative error = 2.6140003454707062503463578093416e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 0.6494075107197332237867767285873
y[1] (numeric) = 0.64940751071973322378677672858713
absolute error = 1.7e-31
relative error = 2.6177707709538243619735904877637e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 0.64847115805904009521271093528813
y[1] (numeric) = 0.64847115805904009521271093528795
absolute error = 1.8e-31
relative error = 2.7757595347611726669578574482374e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=476.8MB, alloc=4.5MB, time=21.16
x[1] = 1.931
y[1] (analytic) = 0.64753515692715961352936465160724
y[1] (numeric) = 0.64753515692715961352936465160706
absolute error = 1.8e-31
relative error = 2.7797718482835668731561510269732e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 0.64659950826009283261712783752055
y[1] (numeric) = 0.64659950826009283261712783752037
absolute error = 1.8e-31
relative error = 2.7837942605980997210064955657219e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 0.64566421299348834157206174872381
y[1] (numeric) = 0.64566421299348834157206174872364
absolute error = 1.7e-31
relative error = 2.6329475380373061733040172294193e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 0.64472927206264132905738781128457
y[1] (numeric) = 0.6447292720626413290573878112844
absolute error = 1.7e-31
relative error = 2.6367656529093183395725971831388e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 0.64379468640249264800837689968381
y[1] (numeric) = 0.64379468640249264800837689968364
absolute error = 1.7e-31
relative error = 2.6405934002027170662899269180593e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 0.64286045694762788069157431328025
y[1] (numeric) = 0.64286045694762788069157431328008
absolute error = 1.7e-31
relative error = 2.6444308117375688048817053610018e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 0.64192658463227640411929539189432
y[1] (numeric) = 0.64192658463227640411929539189414
absolute error = 1.8e-31
relative error = 2.8040589735524330228763749542738e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 0.64099307039031045582032635593825
y[1] (numeric) = 0.64099307039031045582032635593808
absolute error = 1.7e-31
relative error = 2.6521347554737901841810788581891e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 0.64005991515524419996776460031382
y[1] (numeric) = 0.64005991515524419996776460031364
absolute error = 1.8e-31
relative error = 2.8122367256250011522911581972387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 0.63912711986023279386493231415927
y[1] (numeric) = 0.63912711986023279386493231415909
absolute error = 1.8e-31
relative error = 2.8163411378844824052613688753681e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 0.63819468543807145479029694045439
y[1] (numeric) = 0.63819468543807145479029694045421
absolute error = 1.8e-31
relative error = 2.8204559534437971029215352759467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 0.63726261282119452720233163048519
y[1] (numeric) = 0.63726261282119452720233163048501
absolute error = 1.8e-31
relative error = 2.8245812068454902094584616621785e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 0.63633090294167455030524848823024
y[1] (numeric) = 0.63633090294167455030524848823006
absolute error = 1.8e-31
relative error = 2.8287169327763831503926514932401e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 0.63539955673122132597653703885757
y[1] (numeric) = 0.63539955673122132597653703885738
absolute error = 1.9e-31
relative error = 2.9902444530720910450724973465958e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 0.63446857512118098705723999371601
y[1] (numeric) = 0.63446857512118098705723999371582
absolute error = 1.9e-31
relative error = 2.9946321606820440537897319537458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=480.6MB, alloc=4.5MB, time=21.33
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 0.63353795904253506600589802146769
y[1] (numeric) = 0.6335379590425350660058980214675
absolute error = 1.9e-31
relative error = 2.9990310333913804477198833154809e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 0.63260770942589956391709487133911
y[1] (numeric) = 0.63260770942589956391709487133892
absolute error = 1.9e-31
relative error = 3.0034411084308106995715439035312e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 0.63167782720152401990553382986825
y[1] (numeric) = 0.63167782720152401990553382986805
absolute error = 2.0e-31
relative error = 3.1661709717759976052784427856131e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 0.6307483132992905808565761269936
y[1] (numeric) = 0.63074831329929058085657612699341
absolute error = 1.9e-31
relative error = 3.0122950152043426475056200000070e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 0.62981916864871307154417154086931
y[1] (numeric) = 0.62981916864871307154417154086912
absolute error = 1.9e-31
relative error = 3.0167389221837751812331467627284e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 0.62889039417893606511711108339817
y[1] (numeric) = 0.62889039417893606511711108339797
absolute error = 2.0e-31
relative error = 3.1802044020900512244457835927652e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 0.62796199081873395395453128015246
y[1] (numeric) = 0.62796199081873395395453128015226
absolute error = 2.0e-31
relative error = 3.1849061396095155430401749768722e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 0.62703395949651002089159918910091
y[1] (numeric) = 0.62703395949651002089159918910071
absolute error = 2.0e-31
relative error = 3.1896199076776346542384268872523e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 0.62610630114029551081630693237925
y[1] (numeric) = 0.62610630114029551081630693237905
absolute error = 2.0e-31
relative error = 3.1943457466527678847772090370398e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 0.62517901667774870263830414423262
y[1] (numeric) = 0.62517901667774870263830414423242
absolute error = 2.0e-31
relative error = 3.1990836970635386372018556290234e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 0.62425210703615398163069636621993
y[1] (numeric) = 0.62425210703615398163069636621973
absolute error = 2.0e-31
relative error = 3.2038337996096962339305438652789e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 0.62332557314242091214573704780449
y[1] (numeric) = 0.62332557314242091214573704780429
absolute error = 2.0e-31
relative error = 3.2085960951629828565041689223783e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 0.62239941592308331070534043656172
y[1] (numeric) = 0.62239941592308331070534043656151
absolute error = 2.1e-31
relative error = 3.3740391560064058951985907856014e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 0.62147363630429831946734226741366
y[1] (numeric) = 0.62147363630429831946734226741345
absolute error = 2.1e-31
relative error = 3.3790653011252694675807159308468e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=484.4MB, alloc=4.5MB, time=21.50
x[1] = 1.96
y[1] (analytic) = 0.62054823521184548006843478455255
y[1] (numeric) = 0.62054823521184548006843478455235
absolute error = 2.0e-31
relative error = 3.2229565511812812136598770232179e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 0.61962321357112580784470225304115
y[1] (numeric) = 0.61962321357112580784470225304094
absolute error = 2.1e-31
relative error = 3.3891564324985437473873337626365e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 0.61869857230716086643068273947713
y[1] (numeric) = 0.61869857230716086643068273947693
absolute error = 2.0e-31
relative error = 3.2325919106971435969201641689469e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 0.61777431234459184273788156258282
y[1] (numeric) = 0.61777431234459184273788156258261
absolute error = 2.1e-31
relative error = 3.3992996439590208659727118830191e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 0.61685043460767862231366143512947
y[1] (numeric) = 0.61685043460767862231366143512926
absolute error = 2.1e-31
relative error = 3.4043908898850258962734029504715e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 0.61592694002029886508143393822919
y[1] (numeric) = 0.61592694002029886508143393822898
absolute error = 2.1e-31
relative error = 3.4094952884035095382334022695104e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 0.61500382950594708146307658772573
y[1] (numeric) = 0.61500382950594708146307658772552
absolute error = 2.1e-31
relative error = 3.4146128840969973488813930420208e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 0.6140811039877337088844993701903
y[1] (numeric) = 0.61408110398773370888449937019009
absolute error = 2.1e-31
relative error = 3.4197437217380125932538774908779e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 0.6131587643883841886652842428788
y[1] (numeric) = 0.61315876438838418866528424287859
absolute error = 2.1e-31
relative error = 3.4248878462900478293563900581390e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 0.61223681163023804329332070793407
y[1] (numeric) = 0.61223681163023804329332070793386
absolute error = 2.1e-31
relative error = 3.4300453029085422958788323803802e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 0.61131524663524795408536018612069
y[1] (numeric) = 0.61131524663524795408536018612049
absolute error = 2.0e-31
relative error = 3.2716344161351096593375648914538e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 0.61039407032497883923441152946115
y[1] (numeric) = 0.61039407032497883923441152946095
absolute error = 2.0e-31
relative error = 3.2765718037450519441493443068516e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 0.6094732836206069322448996253009
y[1] (numeric) = 0.6094732836206069322448996253007
absolute error = 2.0e-31
relative error = 3.2815220186829168800350921395160e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 0.60855288744291886075650865656706
y[1] (numeric) = 0.60855288744291886075650865656686
absolute error = 2.0e-31
relative error = 3.2864851046945304550588114969044e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 0.60763288271231072575763119430064
y[1] (numeric) = 0.60763288271231072575763119430044
absolute error = 2.0e-31
relative error = 3.2914611057132634750769956577765e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=488.2MB, alloc=4.5MB, time=21.67
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 0.60671327034878718118934390893652
y[1] (numeric) = 0.60671327034878718118934390893631
absolute error = 2.1e-31
relative error = 3.4612725691540461893585446000406e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 0.60579405127196051394083029627866
y[1] (numeric) = 0.60579405127196051394083029627845
absolute error = 2.1e-31
relative error = 3.4665246309215442919330182660484e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 0.60487522640104972423717042267136
y[1] (numeric) = 0.60487522640104972423717042267115
absolute error = 2.1e-31
relative error = 3.4717903930283291520799218092564e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 0.60395679665487960642041730149994
y[1] (numeric) = 0.60395679665487960642041730149973
absolute error = 2.1e-31
relative error = 3.4770699024023199017343120413726e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 0.60303876295187983012487911986807
y[1] (numeric) = 0.60303876295187983012487911986786
absolute error = 2.1e-31
relative error = 3.4823632061734842558502970722563e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 0.60212112621008402184752614009281
y[1] (numeric) = 0.6021211262100840218475261400926
absolute error = 2.1e-31
relative error = 3.4876703516748824150072502629345e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 0.60120388734712884691444070553402
y[1] (numeric) = 0.60120388734712884691444070553381
absolute error = 2.1e-31
relative error = 3.4929913864437172671535286884445e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 0.60028704728025309184422838423158
y[1] (numeric) = 0.60028704728025309184422838423137
absolute error = 2.1e-31
relative error = 3.4983263582223909319636131795294e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 0.5993706069262967471093078868628
y[1] (numeric) = 0.59937060692629674710930788686259
absolute error = 2.1e-31
relative error = 3.5036753149595676916224561499304e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 0.59845456720170009029599699765373
y[1] (numeric) = 0.59845456720170009029599699765352
absolute error = 2.1e-31
relative error = 3.5090383048112433521916125338467e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 0.59753892902250276966431135808193
y[1] (numeric) = 0.59753892902250276966431135808172
absolute error = 2.1e-31
relative error = 3.5144153761418210800554660391129e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 0.59662369330434288810839254349566
y[1] (numeric) = 0.59662369330434288810839254349545
absolute error = 2.1e-31
relative error = 3.5198065775251937582925756374394e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 0.595708860962456087518481472145
y[1] (numeric) = 0.59570886096245608751848147214479
absolute error = 2.1e-31
relative error = 3.5252119577458329081668841272138e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 0.59479443291167463354535278457522
y[1] (numeric) = 0.594794432911674633545352784575
absolute error = 2.2e-31
relative error = 3.6987568784570215651570556315818e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=492.1MB, alloc=4.5MB, time=21.83
x[1] = 1.989
y[1] (analytic) = 0.5938804100664265007681254288717
y[1] (numeric) = 0.59388041006642650076812542887148
absolute error = 2.2e-31
relative error = 3.7044495199865683077761907385197e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 0.59296679334073445826636428386971
y[1] (numeric) = 0.59296679334073445826636428386949
absolute error = 2.2e-31
relative error = 3.7101571701938823520778850497387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 0.59205358364821515559738724815104
y[1] (numeric) = 0.59205358364821515559738724815082
absolute error = 2.2e-31
relative error = 3.7158798810804770430790852074416e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 0.59114078190207820917969181744439
y[1] (numeric) = 0.59114078190207820917969181744417
absolute error = 2.2e-31
relative error = 3.7216177048742806420177837452618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 0.59022838901512528908341476692668
y[1] (numeric) = 0.59022838901512528908341476692646
absolute error = 2.2e-31
relative error = 3.7273706940308193829215075661747e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 0.58931640589974920622873814788959
y[1] (numeric) = 0.58931640589974920622873814788937
absolute error = 2.2e-31
relative error = 3.7331389012344077488776473649739e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 0.58840483346793299999315440028923
y[1] (numeric) = 0.588404833467932999993154400289
absolute error = 2.3e-31
relative error = 3.9088733966447708374186332190234e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 0.58749367263124902622850297383774
y[1] (numeric) = 0.58749367263124902622850297383752
absolute error = 2.2e-31
relative error = 3.7447211816711251326854347487562e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 0.58658292430085804568869044052437
y[1] (numeric) = 0.58658292430085804568869044052414
absolute error = 2.3e-31
relative error = 3.9210142414925316138030537542458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 0.58567258938750831286900567076968
y[1] (numeric) = 0.58567258938750831286900567076945
absolute error = 2.3e-31
relative error = 3.9271088346567858258245751334672e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 0.5847626688015346652579412338221
y[1] (numeric) = 0.58476266880153466525794123382187
absolute error = 2.3e-31
relative error = 3.9332196166246853008796466395210e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 0.58385316345285761300243177049924
y[1] (numeric) = 0.583853163452857613002431770499
absolute error = 2.4e-31
relative error = 4.1106225849777117131300147202493e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 0.5829440742509824289874196729599
y[1] (numeric) = 0.58294407425098242898741967295966
absolute error = 2.4e-31
relative error = 4.1170330157034876273522889492279e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 0.58203540210499823933065799186525
y[1] (numeric) = 0.58203540210499823933065799186501
absolute error = 2.4e-31
relative error = 4.1234605168691163321698734359674e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 0.58112714792357711429366007605042
y[1] (numeric) = 0.58112714792357711429366007605018
absolute error = 2.4e-31
relative error = 4.1299051482544389220705858760155e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=495.9MB, alloc=4.5MB, time=22.00
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 0.58021931261497315960970503368114
y[1] (numeric) = 0.5802193126149731596097050336809
absolute error = 2.4e-31
relative error = 4.1363669699023139981489486796789e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 0.57931189708702160822980768681426
y[1] (numeric) = 0.57931189708702160822980768681402
absolute error = 2.4e-31
relative error = 4.1428460421200065131171014747706e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 0.57840490224713791248756127331649
y[1] (numeric) = 0.57840490224713791248756127331625
absolute error = 2.4e-31
relative error = 4.1493424254805851814351564837335e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 0.577498329002316836683760731223
y[1] (numeric) = 0.57749832900231683668376073122276
absolute error = 2.4e-31
relative error = 4.1558561808243285149797072832095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 0.57659217825913155009171398083699
y[1] (numeric) = 0.57659217825913155009171398083675
absolute error = 2.4e-31
relative error = 4.1623873692601395451490994229699e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 0.57568645092373272038414819918334
y[1] (numeric) = 0.5756864509237327203841481991831
absolute error = 2.4e-31
relative error = 4.1689360521669692927882083798669e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 0.57478114790184760748261765983457
y[1] (numeric) = 0.57478114790184760748261765983433
absolute error = 2.4e-31
relative error = 4.1755022911952490478038875761151e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 0.57387627009877915783031928862572
y[1] (numeric) = 0.57387627009877915783031928862548
absolute error = 2.4e-31
relative error = 4.1820861482683315208349883625154e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 0.57297181841940509908922166236711
y[1] (numeric) = 0.57297181841940509908922166236686
absolute error = 2.5e-31
relative error = 4.3632163391499384685812052726379e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 0.57206779376817703526241275335052
y[1] (numeric) = 0.57206779376817703526241275335027
absolute error = 2.5e-31
relative error = 4.3701114225162834218234624352868e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 0.57116419704911954224257129722575
y[1] (numeric) = 0.5711641970491195422425712972255
absolute error = 2.5e-31
relative error = 4.3770250532440193078145399092758e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 0.57026102916582926378746623570069
y[1] (numeric) = 0.57026102916582926378746623570044
absolute error = 2.5e-31
relative error = 4.3839572969890102536966838047731e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 0.56935829102147400792338825849016
y[1] (numeric) = 0.5693582910214740079233882584899
absolute error = 2.6e-31
relative error = 4.5665445484870228862326064084429e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 0.56845598351879184377741704100671
y[1] (numeric) = 0.56845598351879184377741704100645
absolute error = 2.6e-31
relative error = 4.5737930031200911731015742116233e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.5MB, time=22.18
x[1] = 2.018
y[1] (analytic) = 0.56755410756009019883942734545092
y[1] (numeric) = 0.56755410756009019883942734545065
absolute error = 2.7e-31
relative error = 4.7572556766565830209584227949227e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 0.56665266404724495665473672321967
y[1] (numeric) = 0.56665266404724495665473672321941
absolute error = 2.6e-31
relative error = 4.5883486745298768519599111446033e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 0.5657516538816995549482971259098
y[1] (numeric) = 0.56575165388169955494829712590954
absolute error = 2.6e-31
relative error = 4.5956560306294184580996425311342e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 0.56485107796446408418133230065006
y[1] (numeric) = 0.5648510779644640841813323006498
absolute error = 2.6e-31
relative error = 4.6029831603925366361829873016598e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 0.5639509371961143865413224130491
y[1] (numeric) = 0.56395093719611438654132241304884
absolute error = 2.6e-31
relative error = 4.6103301342610375589577644804425e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 0.56305123247679115536623690769966
y[1] (numeric) = 0.56305123247679115536623690769939
absolute error = 2.7e-31
relative error = 4.7953007546454369766195882661112e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 0.56215196470619903500391618193103
y[1] (numeric) = 0.56215196470619903500391618193076
absolute error = 2.7e-31
relative error = 4.8029717398766323480247449702625e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 0.56125313478360572110750221335324
y[1] (numeric) = 0.56125313478360572110750221335297
absolute error = 2.7e-31
relative error = 4.8106635538721758244336402075518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 0.56035474360784106136781784568716
y[1] (numeric) = 0.56035474360784106136781784568689
absolute error = 2.7e-31
relative error = 4.8183762711029521049369848423960e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 0.55945679207729615668359400042652
y[1] (numeric) = 0.55945679207729615668359400042625
absolute error = 2.7e-31
relative error = 4.8261099663742401180230593447577e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 0.55855928108992246277044364402954
y[1] (numeric) = 0.55855928108992246277044364402927
absolute error = 2.7e-31
relative error = 4.8338647148275152913331710873911e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 0.55766221154323089220948090159145
y[1] (numeric) = 0.55766221154323089220948090159117
absolute error = 2.8e-31
relative error = 5.0209606138660506906409018963598e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 0.5567655843342909169364832683039
y[1] (numeric) = 0.55676558433429091693648326830363
absolute error = 2.7e-31
relative error = 4.8494376735378044370765581518955e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 0.55586940035972967117249442946437
y[1] (numeric) = 0.55586940035972967117249442946409
absolute error = 2.8e-31
relative error = 5.0371544074705067437703057430750e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 0.55497366051573105479676475835775
y[1] (numeric) = 0.55497366051573105479676475835747
absolute error = 2.8e-31
relative error = 5.0452844868313031466335501994760e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=503.5MB, alloc=4.5MB, time=22.35
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 0.55407836569803483716292611899521
y[1] (numeric) = 0.55407836569803483716292611899493
absolute error = 2.8e-31
relative error = 5.0534367940400002269699684549974e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 0.55318351680193576135929715746059
y[1] (numeric) = 0.55318351680193576135929715746031
absolute error = 2.8e-31
relative error = 5.0616114091528945719634721266730e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 0.55228911472228264891421482148453
y[1] (numeric) = 0.55228911472228264891421482148425
absolute error = 2.8e-31
relative error = 5.0698084125883483379107798885063e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.036
y[1] (analytic) = 0.55139516035347750494728740284018
y[1] (numeric) = 0.5513951603534775049472874028399
absolute error = 2.8e-31
relative error = 5.0780278851287547992113989322886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 0.55050165458947462376746395123283
y[1] (numeric) = 0.55050165458947462376746395123255
absolute error = 2.8e-31
relative error = 5.0862699079225163593197871759851e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 0.54960859832377969491881446153957
y[1] (numeric) = 0.54960859832377969491881446153929
absolute error = 2.8e-31
relative error = 5.0945345624860351140374911687214e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 0.5487159924494489096749147885443
y[1] (numeric) = 0.54871599244944890967491478854402
absolute error = 2.8e-31
relative error = 5.1028219307057160582611055615257e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 0.54782383785908806798272979470864
y[1] (numeric) = 0.54782383785908806798272979470835
absolute error = 2.9e-31
relative error = 5.2936725267985538504768914586002e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 0.54693213544485168585688778702125
y[1] (numeric) = 0.54693213544485168585688778702096
absolute error = 2.9e-31
relative error = 5.3023031781470684516954605072067e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 0.54604088609844210322523884857674
y[1] (numeric) = 0.54604088609844210322523884857645
absolute error = 2.9e-31
relative error = 5.3109576111067590689949918925453e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 0.54515009071110859222658921925142
y[1] (numeric) = 0.54515009071110859222658921925113
absolute error = 2.9e-31
relative error = 5.3196359120424270597286367526458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 0.54425975017364646596150342766725
y[1] (numeric) = 0.54425975017364646596150342766696
absolute error = 2.9e-31
relative error = 5.3283381677126646012844110633395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 0.54336986537639618769706542356762
y[1] (numeric) = 0.54336986537639618769706542356732
absolute error = 3.0e-31
relative error = 5.5211011709710448652810271305710e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 0.5424804372092424805264895057695
y[1] (numeric) = 0.54248043720924248052648950576921
absolute error = 2.9e-31
relative error = 5.3458148922731169963006882067450e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=507.3MB, alloc=4.5MB, time=22.52
x[1] = 2.047
y[1] (analytic) = 0.54159146656161343748447138600699
y[1] (numeric) = 0.54159146656161343748447138600669
absolute error = 3.0e-31
relative error = 5.5392305551747628292379418831796e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 0.5407029543224796321191692732408
y[1] (numeric) = 0.5407029543224796321191692732405
absolute error = 3.0e-31
relative error = 5.5483329173947432177776968589164e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 0.53981490138035322952170440637878
y[1] (numeric) = 0.53981490138035322952170440637848
absolute error = 3.0e-31
relative error = 5.5574605153150486022996346903500e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 0.5389273086232870978140700058326
y[1] (numeric) = 0.5389273086232870978140700058323
absolute error = 3.0e-31
relative error = 5.5666134411774911647188014337401e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 0.53804017693887392009633715592774
y[1] (numeric) = 0.53804017693887392009633715592744
absolute error = 3.0e-31
relative error = 5.5757917876471635580811051747111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 0.53715350721424530685404567088687
y[1] (numeric) = 0.53715350721424530685404567088657
absolute error = 3.0e-31
relative error = 5.5849956478147705617705571356075e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 0.5362673003360709088266675369218
y[1] (numeric) = 0.5362673003360709088266675369215
absolute error = 3.0e-31
relative error = 5.5942251151989757372006671418552e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 0.53538155719055753033803006189654
y[1] (numeric) = 0.53538155719055753033803006189624
absolute error = 3.0e-31
relative error = 5.6034802837487631943791290479074e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 0.53449627866344824308958540206462
y[1] (numeric) = 0.53449627866344824308958540206432
absolute error = 3.0e-31
relative error = 5.6127612478458145806496809852120e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 0.53361146564002150041741267253707
y[1] (numeric) = 0.53361146564002150041741267253676
absolute error = 3.1e-31
relative error = 5.8094703723837981172994781870123e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 0.53272711900509025201383838440529
y[1] (numeric) = 0.53272711900509025201383838440499
absolute error = 3.0e-31
relative error = 5.6314009423862928029618233069642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 0.53184323964300105911456048682461
y[1] (numeric) = 0.53184323964300105911456048682431
absolute error = 3.0e-31
relative error = 5.6407598637781788806000541122373e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 0.53095982843763321015216082686059
y[1] (numeric) = 0.53095982843763321015216082686028
absolute error = 3.1e-31
relative error = 5.8384831280397467023752618487711e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 0.5300768862723978368768903735121
y[1] (numeric) = 0.53007688627239783687689037351179
absolute error = 3.1e-31
relative error = 5.8482082133401318183122670173637e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 0.52919441403023703094561108505224
y[1] (numeric) = 0.52919441403023703094561108505193
absolute error = 3.1e-31
relative error = 5.8579605487348788712076892309043e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=511.1MB, alloc=4.5MB, time=22.69
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 0.52831241259362296097977783067155
y[1] (numeric) = 0.52831241259362296097977783067124
absolute error = 3.1e-31
relative error = 5.8677402349516911737212788218660e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 0.52743088284455699009334330836807
y[1] (numeric) = 0.52743088284455699009334330836776
absolute error = 3.1e-31
relative error = 5.8775473731856229862765484075926e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 0.52654982566456879389146843110578
y[1] (numeric) = 0.52654982566456879389146843110547
absolute error = 3.1e-31
relative error = 5.8873820651016826409867519984721e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 0.52566924193471547894092018245755
y[1] (numeric) = 0.52566924193471547894092018245724
absolute error = 3.1e-31
relative error = 5.8972444128374525992533294685637e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 0.52478913253558070171303847126125
y[1] (numeric) = 0.52478913253558070171303847126095
absolute error = 3.0e-31
relative error = 5.7165817925861870023000221356823e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 0.5239094983472737880001530422488
y[1] (numeric) = 0.52390949834727378800015304224849
absolute error = 3.1e-31
relative error = 5.9170524866971638089083675215315e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 0.52303034024942885280633102615771
y[1] (numeric) = 0.52303034024942885280633102615741
absolute error = 3.0e-31
relative error = 5.7358049220802845937476737836791e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 0.52215165912120392071333523850454
y[1] (numeric) = 0.52215165912120392071333523850424
absolute error = 3.0e-31
relative error = 5.7454571820169742355428428254051e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 0.52127345584128004672267286098827
y[1] (numeric) = 0.52127345584128004672267286098796
absolute error = 3.1e-31
relative error = 5.9469745970412572286892730965594e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 0.52039573128786043757461366340194
y[1] (numeric) = 0.52039573128786043757461366340163
absolute error = 3.1e-31
relative error = 5.9570050513831250458022486629711e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 0.51951848633866957354505644696104
y[1] (numeric) = 0.51951848633866957354505644696073
absolute error = 3.1e-31
relative error = 5.9670638899635556319163144965049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 0.51864172187095233072112191210895
y[1] (numeric) = 0.51864172187095233072112191210863
absolute error = 3.2e-31
relative error = 6.1699625484357374673640291405759e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 0.51776543876147310375634967513342
y[1] (numeric) = 0.51776543876147310375634967513311
absolute error = 3.1e-31
relative error = 5.9872671443953296560881526210914e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 0.51688963788651492910637667832417
y[1] (numeric) = 0.51688963788651492910637667832385
absolute error = 3.2e-31
relative error = 6.1908766696974723988456048477925e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 0.51601432012187860874597375791979
y[1] (numeric) = 0.51601432012187860874597375791947
memory used=515.0MB, alloc=4.5MB, time=22.86
absolute error = 3.2e-31
relative error = 6.2013782858665330105782634456630e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 0.5151394863428818343683166527347
y[1] (numeric) = 0.51513948634288183436831665273438
absolute error = 3.2e-31
relative error = 6.2119097542253807904384995590490e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 0.51426513742435831206736725412193
y[1] (numeric) = 0.51426513742435831206736725412161
absolute error = 3.2e-31
relative error = 6.2224711868023101676455741969726e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 0.51339127424065688750424041481765
y[1] (numeric) = 0.51339127424065688750424041481732
absolute error = 3.3e-31
relative error = 6.4278459054079961067815802149901e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 0.51251789766564067155843115022765
y[1] (numeric) = 0.51251789766564067155843115022732
absolute error = 3.3e-31
relative error = 6.4387995327196801383315584561405e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 0.51164500857268616646477658085588
y[1] (numeric) = 0.51164500857268616646477658085555
absolute error = 3.3e-31
relative error = 6.4497844104956022387870041496434e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 0.51077260783468239243702647884004
y[1] (numeric) = 0.5107726078346823924370264788397
absolute error = 3.4e-31
relative error = 6.6565824945343394228023818742903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 0.50990069632403001477889579495105
y[1] (numeric) = 0.50990069632403001477889579495071
absolute error = 3.4e-31
relative error = 6.6679650067380555219354081255568e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 0.50902927491264047148347205493118
y[1] (numeric) = 0.50902927491264047148347205493084
absolute error = 3.4e-31
relative error = 6.6793800819874406923749338167170e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 0.50815834447193510132185002569055
y[1] (numeric) = 0.5081583444719351013218500256902
absolute error = 3.5e-31
relative error = 6.8876168975186439556002891099190e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 0.50728790587284427242186556265484
y[1] (numeric) = 0.5072879058728442724218655626545
absolute error = 3.4e-31
relative error = 6.7023084142917393005468547575936e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 0.50641795998580651133780005945775
y[1] (numeric) = 0.5064179599858065113378000594574
absolute error = 3.5e-31
relative error = 6.9112872697052357256519260214990e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 0.50554850768076763261192643020098
y[1] (numeric) = 0.50554850768076763261192643020063
absolute error = 3.5e-31
relative error = 6.9231734380078539297231505329677e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 0.50467954982717986882876706266353
y[1] (numeric) = 0.50467954982717986882876706266318
absolute error = 3.5e-31
relative error = 6.9350937663286016134034137031855e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 0.50381108729400100116293368812955
y[1] (numeric) = 0.5038110872940010011629336881292
absolute error = 3.5e-31
relative error = 6.9470483843432385994231740861079e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=518.8MB, alloc=4.5MB, time=23.03
TOP MAIN SOLVE Loop
x[1] = 2.091
y[1] (analytic) = 0.50294312094969349042141861992267
y[1] (numeric) = 0.50294312094969349042141861992231
absolute error = 3.6e-31
relative error = 7.1578670629836237644180798716371e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 0.50207565166222360858120631828296
y[1] (numeric) = 0.5020756516622236085812063182826
absolute error = 3.6e-31
relative error = 7.1702341829990509636605556072691e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 0.50120868029906057082307374390277
y[1] (numeric) = 0.50120868029906057082307374390241
absolute error = 3.6e-31
relative error = 7.1826369763826845253918545873155e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 0.50034220772717566806244746624862
y[1] (numeric) = 0.50034220772717566806244746624825
absolute error = 3.7e-31
relative error = 7.3949387896084098405585797907698e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 0.49947623481304139997818499573975
y[1] (numeric) = 0.49947623481304139997818499573938
absolute error = 3.7e-31
relative error = 7.4077598534491724345977396948483e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 0.49861076242263060854014731092992
y[1] (numeric) = 0.49861076242263060854014731092954
absolute error = 3.8e-31
relative error = 7.6211752460711188338968426050518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 0.49774579142141561203642905304744
y[1] (numeric) = 0.49774579142141561203642905304706
absolute error = 3.8e-31
relative error = 7.6344191462640345720864361807318e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 0.49688132267436733960111236059138
y[1] (numeric) = 0.496881322674367339601112360591
absolute error = 3.8e-31
relative error = 7.6477014260613320764820102846806e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 0.49601735704595446624340981615776
y[1] (numeric) = 0.49601735704595446624340981615738
absolute error = 3.8e-31
relative error = 7.6610222324295434129935183632211e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 0.49515389540014254837906147628083
y[1] (numeric) = 0.49515389540014254837906147628045
absolute error = 3.8e-31
relative error = 7.6743817130412623414989030750695e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 0.49429093860039315986485045282031
y[1] (numeric) = 0.49429093860039315986485045281992
absolute error = 3.9e-31
relative error = 7.8900900167076174948018222199123e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 0.49342848750966302853710101130701
y[1] (numeric) = 0.49342848750966302853710101130662
absolute error = 3.9e-31
relative error = 7.9038809041677484688582746308700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 0.49256654299040317325502264767687
y[1] (numeric) = 0.49256654299040317325502264767648
absolute error = 3.9e-31
relative error = 7.9177119426805748553054760156167e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 0.49170510590455804144976309997726
y[1] (numeric) = 0.49170510590455804144976309997687
absolute error = 3.9e-31
relative error = 7.9315832867454621129993149830144e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 0.49084417711356464718003274592084
y[1] (numeric) = 0.49084417711356464718003274592045
absolute error = 3.9e-31
relative error = 7.9454950916076012719020211581262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=522.6MB, alloc=4.5MB, time=23.20
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 0.48998375747835170969516233059059
y[1] (numeric) = 0.4899837574783517096951623305902
absolute error = 3.9e-31
relative error = 7.9594475132623318241997465296305e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 0.48912384785933879250645546116663
y[1] (numeric) = 0.48912384785933879250645546116624
absolute error = 3.9e-31
relative error = 7.9734407084594938783890488956800e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 0.48826444911643544296769679725053
y[1] (numeric) = 0.48826444911643544296769679725014
absolute error = 3.9e-31
relative error = 7.9874748347078098029362473799055e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 0.48740556210904033236567635620717
y[1] (numeric) = 0.48740556210904033236567635620678
absolute error = 3.9e-31
relative error = 8.0015500502792955880896395063156e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 0.48654718769604039652158984292831
y[1] (numeric) = 0.48654718769604039652158984292792
absolute error = 3.9e-31
relative error = 8.0156665142137021564197531457624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 0.4856893267358099769041744025458
y[1] (numeric) = 0.48568932673580997690417440254541
absolute error = 3.9e-31
relative error = 8.0298243863229868546773594261782e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 0.48483198008620996225543868288719
y[1] (numeric) = 0.4848319800862099622554386828868
absolute error = 3.9e-31
relative error = 8.0440238271958153615931014690614e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 0.48397514860458693072984558087207
y[1] (numeric) = 0.48397514860458693072984558087168
absolute error = 3.9e-31
relative error = 8.0582649982020942482965080273458e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 0.48311883314777229254780553359498
y[1] (numeric) = 0.48311883314777229254780553359459
absolute error = 3.9e-31
relative error = 8.0725480614975344301060726535878e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 0.48226303457208143316433770053014
y[1] (numeric) = 0.48226303457208143316433770052974
absolute error = 4.0e-31
relative error = 8.2942289025930725646525151787143e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 0.48140775373331285695375586812531
y[1] (numeric) = 0.48140775373331285695375586812491
absolute error = 4.0e-31
relative error = 8.3089646333696030158783498688649e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 0.48055299148674733141123539202771
y[1] (numeric) = 0.48055299148674733141123539202731
absolute error = 4.0e-31
relative error = 8.3237438344202084078699232695433e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 0.47969874868714703187211697530355
y[1] (numeric) = 0.47969874868714703187211697530315
absolute error = 4.0e-31
relative error = 8.3385666753296980858066601978208e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 0.47884502618875468674980256327624
y[1] (numeric) = 0.47884502618875468674980256327584
absolute error = 4.0e-31
relative error = 8.3534333265127208592299968441856e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=526.4MB, alloc=4.5MB, time=23.37
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 0.47799182484529272329309811701611
y[1] (numeric) = 0.47799182484529272329309811701571
absolute error = 4.0e-31
relative error = 8.3683439592186408302639257763478e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 0.47713914550996241386385750806768
y[1] (numeric) = 0.47713914550996241386385750806727
absolute error = 4.1e-31
relative error = 8.5928812141748578477542326468070e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 0.47628698903544302273578125669943
y[1] (numeric) = 0.47628698903544302273578125669902
absolute error = 4.1e-31
relative error = 8.6082553048596870478745084906148e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 0.47543535627389095341522331480629
y[1] (numeric) = 0.47543535627389095341522331480589
absolute error = 4.0e-31
relative error = 8.4133414715914856844133611821219e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 0.47458424807693889648485857258696
y[1] (numeric) = 0.47458424807693889648485857258656
absolute error = 4.0e-31
relative error = 8.4284297597494763778690219580299e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 0.47373366529569497797106324525749
y[1] (numeric) = 0.47373366529569497797106324525708
absolute error = 4.1e-31
relative error = 8.6546519708301981792620658468702e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 0.47288360878074190823585977234989
y[1] (numeric) = 0.47288360878074190823585977234949
absolute error = 4.0e-31
relative error = 8.4587410638177721748432566650203e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 0.4720340793821361313942773375799
y[1] (numeric) = 0.47203407938213613139427733757949
absolute error = 4.1e-31
relative error = 8.6858135441547999211825289718868e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 0.47118507794940697525797859185238
y[1] (numeric) = 0.47118507794940697525797859185197
absolute error = 4.1e-31
relative error = 8.7014640146143027563856560652098e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 0.470336605331555801806002635707
y[1] (numeric) = 0.47033660533155580180600263570659
absolute error = 4.1e-31
relative error = 8.7171611852532180304171839164008e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 0.46948866237705515818347379039028
y[1] (numeric) = 0.46948866237705515818347379038987
absolute error = 4.1e-31
relative error = 8.7329052404405306664560272051316e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 0.46864124993384792822912515877447
y[1] (numeric) = 0.46864124993384792822912515877406
absolute error = 4.1e-31
relative error = 8.7486963654581076460285487164833e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 0.46779436884934648453248544852913
y[1] (numeric) = 0.46779436884934648453248544852872
absolute error = 4.1e-31
relative error = 8.7645347465061255814268455179653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 0.46694801997043184102157700028774
y[1] (numeric) = 0.46694801997043184102157700028733
absolute error = 4.1e-31
relative error = 8.7804205707085359765143143710731e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 0.46610220414345280608197243304086
y[1] (numeric) = 0.46610220414345280608197243304044
absolute error = 4.2e-31
relative error = 9.0108992462678018527476292767514e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=530.2MB, alloc=4.5MB, time=23.54
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 0.46525692221422513620805678762849
y[1] (numeric) = 0.46525692221422513620805678762808
absolute error = 4.1e-31
relative error = 8.8123353017242724003514138713916e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 0.46441217502803069018734151699913
y[1] (numeric) = 0.46441217502803069018734151699872
absolute error = 4.1e-31
relative error = 8.8283645874540968857850832754967e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 0.46356796342961658381867613885079
y[1] (numeric) = 0.46356796342961658381867613885038
absolute error = 4.1e-31
relative error = 8.8444420741825099123762007805101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 0.46272428826319434516520283237216
y[1] (numeric) = 0.46272428826319434516520283237175
absolute error = 4.1e-31
relative error = 8.8605679537356565549996862223899e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 0.46188115037243907034289872605874
y[1] (numeric) = 0.46188115037243907034289872605833
absolute error = 4.1e-31
relative error = 8.8767424188970567554718483083007e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 0.4610385506004885798455500879914
y[1] (numeric) = 0.46103855060048857984555008799099
absolute error = 4.1e-31
relative error = 8.8929656634133429366409414378324e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 0.46019648978994257540700209353278
y[1] (numeric) = 0.46019648978994257540700209353237
absolute error = 4.1e-31
relative error = 8.9092378820000377764274197646825e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 0.4593549687828617974015273081216
y[1] (numeric) = 0.45935496878286179740152730812119
absolute error = 4.1e-31
relative error = 8.9255592703473724633843328582097e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 0.45851398842076718278315548472613
y[1] (numeric) = 0.45851398842076718278315548472572
absolute error = 4.1e-31
relative error = 8.9419300251261457582479706411180e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 0.45767354954463902356480673655682
y[1] (numeric) = 0.45767354954463902356480673655641
absolute error = 4.1e-31
relative error = 8.9583503439936241888776097497757e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 0.45683365299491612583806960583488
y[1] (numeric) = 0.45683365299491612583806960583447
absolute error = 4.1e-31
relative error = 8.9748204255994837089413602345093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 0.45599429961149496933446500876855
y[1] (numeric) = 0.45599429961149496933446500876815
absolute error = 4.0e-31
relative error = 8.7720394825285786865297420572016e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 0.4551554902337288675290364954032
y[1] (numeric) = 0.4551554902337288675290364954028
absolute error = 4.0e-31
relative error = 8.7882055381688193455634142539684e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 0.45431722570042712828710672068487
y[1] (numeric) = 0.45431722570042712828710672068446
absolute error = 4.1e-31
relative error = 9.0245312483561975744516625789228e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=534.0MB, alloc=4.5MB, time=23.71
x[1] = 2.149
y[1] (analytic) = 0.45347950684985421505503947991094
y[1] (numeric) = 0.45347950684985421505503947991052
absolute error = 4.2e-31
relative error = 9.2617195188725653860719739634361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 0.45264233451972890859584611773597
y[1] (numeric) = 0.45264233451972890859584611773556
absolute error = 4.1e-31
relative error = 9.0579242976692827203134466850723e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 0.45180570954722346927047457505646
y[1] (numeric) = 0.45180570954722346927047457505604
absolute error = 4.2e-31
relative error = 9.2960312613336046241200533528314e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 0.45096963276896279986561879241554
y[1] (numeric) = 0.45096963276896279986561879241512
absolute error = 4.2e-31
relative error = 9.3132656720407398805407784862805e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 0.45013410502102360896888564204867
y[1] (numeric) = 0.45013410502102360896888564204825
absolute error = 4.2e-31
relative error = 9.3305527245127051816175411282903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 0.44929912713893357489215601333346
y[1] (numeric) = 0.44929912713893357489215601333304
absolute error = 4.2e-31
relative error = 9.3478926316748971982163729038915e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 0.448464699957670510143976128213
y[1] (numeric) = 0.44846469995767051014397612821258
absolute error = 4.2e-31
relative error = 9.3652856075326057148373501791750e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 0.44763082431166152645181461413169
y[1] (numeric) = 0.44763082431166152645181461413126
absolute error = 4.3e-31
relative error = 9.6061302449675333005183635905642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 0.44679750103478220033502031215692
y[1] (numeric) = 0.44679750103478220033502031215649
absolute error = 4.3e-31
relative error = 9.6240466655279132388120136286238e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 0.44596473096035573922931524725933
y[1] (numeric) = 0.4459647309603557392293152472589
absolute error = 4.3e-31
relative error = 9.6420180823273459246073049409923e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 0.44513251492115214816365663618905
y[1] (numeric) = 0.44513251492115214816365663618862
absolute error = 4.3e-31
relative error = 9.6600447189567218533401245131623e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 0.44430085374938739699030125601663
y[1] (numeric) = 0.4443008537493873969903012560162
absolute error = 4.3e-31
relative error = 9.6781268001466874282503355086831e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 0.44346974827672258816890494320472
y[1] (numeric) = 0.44346974827672258816890494320429
absolute error = 4.3e-31
relative error = 9.6962645517746220147186220015843e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 0.44263919933426312510548943904184
y[1] (numeric) = 0.44263919933426312510548943904141
absolute error = 4.3e-31
relative error = 9.7144582008716648772672002507545e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 0.44180920775255788104710824240193
y[1] (numeric) = 0.4418092077525578810471082424015
absolute error = 4.3e-31
relative error = 9.7327079756297924072228603850877e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=537.8MB, alloc=4.5MB, time=23.88
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 0.44097977436159836853304257509464
y[1] (numeric) = 0.44097977436159836853304257509421
absolute error = 4.3e-31
relative error = 9.7510141054089460527988738689329e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 0.44015089999081790940335800854119
y[1] (numeric) = 0.44015089999081790940335800854076
absolute error = 4.3e-31
relative error = 9.7693768207442113671488747549819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 0.43932258546909080536565174315
y[1] (numeric) = 0.43932258546909080536565174314957
absolute error = 4.3e-31
relative error = 9.7877963533530485937813308362880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 0.43849483162473150912081997357562
y[1] (numeric) = 0.43849483162473150912081997357519
absolute error = 4.3e-31
relative error = 9.8062729361425752125981040612712e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 0.43766763928549379604867421402466
y[1] (numeric) = 0.43766763928549379604867421402423
absolute error = 4.3e-31
relative error = 9.8248068032169008737353030780301e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 0.43684100927856993645423489792325
y[1] (numeric) = 0.43684100927856993645423489792282
absolute error = 4.3e-31
relative error = 9.8433981898845151503396051243412e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 0.43601494243058986837553000558349
y[1] (numeric) = 0.43601494243058986837553000558306
absolute error = 4.3e-31
relative error = 9.8620473326657285454089258427477e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 0.43518943956762037095372591200137
y[1] (numeric) = 0.43518943956762037095372591200093
absolute error = 4.4e-31
relative error = 1.0110539456958310614929791965299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 0.43436450151516423836641708458632
y[1] (numeric) = 0.43436450151516423836641708458588
absolute error = 4.4e-31
relative error = 1.0129741230353259402789387707597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 0.433540129098159454324900697464
y[1] (numeric) = 0.43354012909815945432490069746356
absolute error = 4.4e-31
relative error = 1.0149002836606572628520921803286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 0.43271632314097836713626166500881
y[1] (numeric) = 0.43271632314097836713626166500837
absolute error = 4.4e-31
relative error = 1.0168324522776290582103581559585e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 0.43189308446742686533109303245235
y[1] (numeric) = 0.43189308446742686533109303245191
absolute error = 4.4e-31
relative error = 1.0187706537199359896218710167093e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 0.43107041390074355385767609577883
y[1] (numeric) = 0.43107041390074355385767609577838
absolute error = 4.5e-31
relative error = 1.0439129791533665597208186607615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 0.43024831226359893084344405665853
y[1] (numeric) = 0.43024831226359893084344405665808
absolute error = 4.5e-31
relative error = 1.0459076472200078322023117477761e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=541.7MB, alloc=4.5MB, time=24.06
x[1] = 2.178
y[1] (analytic) = 0.42942678037809456492455245088719
y[1] (numeric) = 0.42942678037809456492455245088674
absolute error = 4.5e-31
relative error = 1.0479085622088856873130223961199e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 0.42860581906576227314437902069224
y[1] (numeric) = 0.42860581906576227314437902069179
absolute error = 4.5e-31
relative error = 1.0499157500494764716823892607035e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 0.42778542914756329942177513233751
y[1] (numeric) = 0.42778542914756329942177513233705
absolute error = 4.6e-31
relative error = 1.0753054420685384800289118371229e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 0.42696561144388749358989027070658
y[1] (numeric) = 0.42696561144388749358989027070612
absolute error = 4.6e-31
relative error = 1.0773701386498053808978665539319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 0.42614636677455249100639057197185
y[1] (numeric) = 0.42614636677455249100639057197139
absolute error = 4.6e-31
relative error = 1.0794413278275287008688037923412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 0.42532769595880289273589178406241
y[1] (numeric) = 0.42532769595880289273589178406195
absolute error = 4.6e-31
relative error = 1.0815190366642746344024422723387e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 0.42450959981530944630542647242941
y[1] (numeric) = 0.42450959981530944630542647242895
absolute error = 4.6e-31
relative error = 1.0836032923640155418204273094973e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 0.42369207916216822703376471557354
y[1] (numeric) = 0.42369207916216822703376471557308
absolute error = 4.6e-31
relative error = 1.0856941222730173086148382299193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 0.42287513481689981993540696094562
y[1] (numeric) = 0.42287513481689981993540696094515
absolute error = 4.7e-31
relative error = 1.1114391963564013215950936948637e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 0.42205876759644850220006713715927
y[1] (numeric) = 0.42205876759644850220006713715881
absolute error = 4.6e-31
relative error = 1.0898956148207043238264722789401e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 0.42124297831718142624846354296454
y[1] (numeric) = 0.42124297831718142624846354296408
absolute error = 4.6e-31
relative error = 1.0920063328714665811413805755529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 0.42042776779488780336523445712331
y[1] (numeric) = 0.42042776779488780336523445712285
absolute error = 4.6e-31
relative error = 1.0941237359574644529009124434325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 0.41961313684477808790979483620305
y[1] (numeric) = 0.41961313684477808790979483620259
absolute error = 4.6e-31
relative error = 1.0962478521499713859899936506132e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 0.41879908628148316210594988936415
y[1] (numeric) = 0.41879908628148316210594988936369
absolute error = 4.6e-31
relative error = 1.0983787096680170109368230539129e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 0.41798561691905352141108074045926
y[1] (numeric) = 0.4179856169190535214110807404588
absolute error = 4.6e-31
relative error = 1.1005163368793211898962490558146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=545.5MB, alloc=4.5MB, time=24.23
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 0.41717272957095846046571680819121
y[1] (numeric) = 0.41717272957095846046571680819075
absolute error = 4.6e-31
relative error = 1.1026607623012349609759203120068e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 0.41636042505008525962430895468923
y[1] (numeric) = 0.41636042505008525962430895468877
absolute error = 4.6e-31
relative error = 1.1048120146016884371578269448245e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 0.41554870416873837206801687166251
y[1] (numeric) = 0.41554870416873837206801687166205
absolute error = 4.6e-31
relative error = 1.1069701226001457186219942096458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 0.41473756773863861150032359127601
y[1] (numeric) = 0.41473756773863861150032359127556
absolute error = 4.5e-31
relative error = 1.0850234823279458587556409595960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 0.41392701657092234042628942606636
y[1] (numeric) = 0.41392701657092234042628942606591
absolute error = 4.5e-31
relative error = 1.0871481734338471409002749997181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.198
y[1] (analytic) = 0.4131170514761406590162570585761
y[1] (numeric) = 0.41311705147614065901625705857565
absolute error = 4.5e-31
relative error = 1.0892796566785854269085981165652e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 0.41230767326425859455481891693383
y[1] (numeric) = 0.41230767326425859455481891693337
absolute error = 4.6e-31
relative error = 1.1156716933210558182805946430289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 0.41149888274465429147585738734507
y[1] (numeric) = 0.41149888274465429147585738734461
absolute error = 4.6e-31
relative error = 1.1178645174729232673229939030157e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 0.4106906807261182019844678283864
y[1] (numeric) = 0.41069068072611820198446782838594
absolute error = 4.6e-31
relative error = 1.1200643734761667126817349953069e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 0.40988306801685227726657376511216
y[1] (numeric) = 0.40988306801685227726657376511169
absolute error = 4.7e-31
relative error = 1.1466684932217693476896254298287e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 0.40907604542446915928704305329127
y[1] (numeric) = 0.4090760454244691592870430532908
absolute error = 4.7e-31
relative error = 1.1489306334530402041484932257660e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 0.40826961375599137317711321559066
y[1] (numeric) = 0.40826961375599137317711321559019
absolute error = 4.7e-31
relative error = 1.1512000505648768255792198777008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 0.4074637738178505202119335622126
y[1] (numeric) = 0.40746377381785052021193356221213
absolute error = 4.7e-31
relative error = 1.1534767756068179808897517787431e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 0.40665852641588647137903111837655
y[1] (numeric) = 0.40665852641588647137903111837608
absolute error = 4.7e-31
relative error = 1.1557608397944537441711450635633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=549.3MB, alloc=4.5MB, time=24.40
x[1] = 2.207
y[1] (analytic) = 0.40585387235534656153850679011252
y[1] (numeric) = 0.40585387235534656153850679011205
absolute error = 4.7e-31
relative error = 1.1580522745104920575227373358959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 0.40504981244088478417576760810249
y[1] (numeric) = 0.40504981244088478417576760810201
absolute error = 4.8e-31
relative error = 1.1850394328229786844588561020029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 0.40424634747656098674760029677056
y[1] (numeric) = 0.40424634747656098674760029677009
absolute error = 4.7e-31
relative error = 1.1626573819006528977540600935873e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 0.40344347826584006662239082248137
y[1] (numeric) = 0.40344347826584006662239082248089
absolute error = 4.8e-31
relative error = 1.1897577377213536805263471157800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 0.4026412056115911676152939805599
y[1] (numeric) = 0.40264120561159116761529398055942
absolute error = 4.8e-31
relative error = 1.1921283597164498465419386112461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 0.40183953031608687711915648589654
y[1] (numeric) = 0.40183953031608687711915648589606
absolute error = 4.8e-31
relative error = 1.1945066719106308838699165396022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 0.40103845318100242383199643614701
y[1] (numeric) = 0.40103845318100242383199643614653
absolute error = 4.8e-31
relative error = 1.1968927074017002526524601194331e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 0.40023797500741487608184141998115
y[1] (numeric) = 0.40023797500741487608184141998067
absolute error = 4.8e-31
relative error = 1.1992864994659925491074011379128e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 0.39943809659580234074972694547545
y[1] (numeric) = 0.39943809659580234074972694547496
absolute error = 4.9e-31
relative error = 1.2267232499253536804420427057983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 0.39863881874604316279165626558419
y[1] (numeric) = 0.3986388187460431627916562655837
absolute error = 4.9e-31
relative error = 1.2291828516383382857473426454602e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 0.39784014225741512536032207866277
y[1] (numeric) = 0.39784014225741512536032207866228
absolute error = 4.9e-31
relative error = 1.2316504745339512238001935204706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 0.3970420679285946505273899822547
y[1] (numeric) = 0.3970420679285946505273899822542
absolute error = 5.0e-31
relative error = 1.2593124013496767352963852552515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 0.39624459655765600060714295779225
y[1] (numeric) = 0.39624459655765600060714295779175
absolute error = 5.0e-31
relative error = 1.2618468601053767471820728370216e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 0.39544772894207048008228556249985
y[1] (numeric) = 0.39544772894207048008228556249934
absolute error = 5.1e-31
relative error = 1.2896774027869316523301409131638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 0.39465146587870563813270590262928
y[1] (numeric) = 0.39465146587870563813270590262877
absolute error = 5.1e-31
relative error = 1.2922795025338793942653976272808e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=553.1MB, alloc=4.5MB, time=24.57
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 0.39385580816382447176799285919852
y[1] (numeric) = 0.39385580816382447176799285919801
absolute error = 5.1e-31
relative error = 1.2948901334669801489564074301539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 0.39306075659308462956450543365036
y[1] (numeric) = 0.39306075659308462956450543364985
absolute error = 5.1e-31
relative error = 1.2975093327059777955944971634182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 0.39226631196153761600779047629526
y[1] (numeric) = 0.39226631196153761600779047629474
absolute error = 5.2e-31
relative error = 1.3256300226234744597740156509246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 0.39147247506362799644114445505431
y[1] (numeric) = 0.39147247506362799644114445505379
absolute error = 5.2e-31
relative error = 1.3283181657036852373334763451392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 0.39067924669319260262111431587435
y[1] (numeric) = 0.39067924669319260262111431587383
absolute error = 5.2e-31
relative error = 1.3310151598822071474794805032645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 0.38988662764345973888073187924815
y[1] (numeric) = 0.38988662764345973888073187924763
absolute error = 5.2e-31
relative error = 1.3337210438402756640093712833462e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.228
y[1] (analytic) = 0.38909461870704838890127560953904
y[1] (numeric) = 0.38909461870704838890127560953851
absolute error = 5.3e-31
relative error = 1.3621365460184893888048557219113e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 0.38830322067596742309335298528223
y[1] (numeric) = 0.3883032206759674230933529852817
absolute error = 5.3e-31
relative error = 1.3649127068206219737840210681042e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 0.38751243434161480658809608931437
y[1] (numeric) = 0.38751243434161480658809608931384
absolute error = 5.3e-31
relative error = 1.3676980479361188598231822980793e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 0.38672226049477680783926242746964
y[1] (numeric) = 0.38672226049477680783926242746911
absolute error = 5.3e-31
relative error = 1.3704926096623246911723537369948e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 0.38593269992562720783703237367578
y[1] (numeric) = 0.38593269992562720783703237367525
absolute error = 5.3e-31
relative error = 1.3732964325182496589530368324229e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 0.38514375342372650993429402758661
y[1] (numeric) = 0.38514375342372650993429402758608
absolute error = 5.3e-31
relative error = 1.3761095572460340542532735704435e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 0.38435542177802115028620565840035
y[1] (numeric) = 0.38435542177802115028620565839982
absolute error = 5.3e-31
relative error = 1.3789320248124241231632091416711e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 0.38356770577684270890382529523548
y[1] (numeric) = 0.38356770577684270890382529523494
absolute error = 5.4e-31
relative error = 1.4078348929463019522831514322684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=556.9MB, alloc=4.5MB, time=24.74
x[1] = 2.236
y[1] (analytic) = 0.38278060620790712132259641036887
y[1] (numeric) = 0.38278060620790712132259641036833
absolute error = 5.4e-31
relative error = 1.4107297789969516707559660105980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 0.38199412385831389088647802678477
y[1] (numeric) = 0.38199412385831389088647802678423
absolute error = 5.4e-31
relative error = 1.4136343107735666248177209958508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 0.38120825951454530164850696583884
y[1] (numeric) = 0.3812082595145453016485069658383
absolute error = 5.4e-31
relative error = 1.4165485309464966467171569812496e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 0.38042301396246563188857933440952
y[1] (numeric) = 0.38042301396246563188857933440898
absolute error = 5.4e-31
relative error = 1.4194724824226302004938194991856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 0.37963838798732036824923773368956
y[1] (numeric) = 0.37963838798732036824923773368902
absolute error = 5.4e-31
relative error = 1.4224062083469693452650462730836e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 0.37885438237373542049025005376515
y[1] (numeric) = 0.37885438237373542049025005376461
absolute error = 5.4e-31
relative error = 1.4253497521042169470053979814772e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 0.37807099790571633686276509933832
y[1] (numeric) = 0.37807099790571633686276509933778
absolute error = 5.4e-31
relative error = 1.4283031573203762478037084957539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 0.37728823536664752010382967237165
y[1] (numeric) = 0.37728823536664752010382967237111
absolute error = 5.4e-31
relative error = 1.4312664678643629026750959168374e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 0.37650609553929144405205111707286
y[1] (numeric) = 0.37650609553929144405205111707232
absolute error = 5.4e-31
relative error = 1.4342397278496295951096155848509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 0.37572457920578787088518871149142
y[1] (numeric) = 0.37572457920578787088518871149088
absolute error = 5.4e-31
relative error = 1.4372229816358033436559000174703e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 0.37494368714765306898045666807064
y[1] (numeric) = 0.3749436871476530689804566680701
absolute error = 5.4e-31
relative error = 1.4402162738303356129672698986793e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 0.37416342014577903139832088278696
y[1] (numeric) = 0.37416342014577903139832088278643
absolute error = 5.3e-31
relative error = 1.4164933594884956152892058987008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 0.37338377898043269499057094901469
y[1] (numeric) = 0.37338377898043269499057094901415
absolute error = 5.4e-31
relative error = 1.4462331531233950182445225589056e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 0.3726047644312551601334483279789
y[1] (numeric) = 0.37260476443125516013344832797837
absolute error = 5.3e-31
relative error = 1.4224187412337395073467865500972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 0.3718263772772609110866109426036
y[1] (numeric) = 0.37182637727726091108661094260306
absolute error = 5.4e-31
relative error = 1.4522907276084303984185862844306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=560.7MB, alloc=4.5MB, time=24.91
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 0.37104861829683703697871383572523
y[1] (numeric) = 0.37104861829683703697871383572469
absolute error = 5.4e-31
relative error = 1.4553348897475281891916399801396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 0.37027148826774245342038490702631
y[1] (numeric) = 0.37027148826774245342038490702577
absolute error = 5.4e-31
relative error = 1.4583893632380553531695374825069e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 0.36949498796710712474537411564829
y[1] (numeric) = 0.36949498796710712474537411564775
absolute error = 5.4e-31
relative error = 1.4614541944695375151043625400907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 0.3687191181714312868806539072698
y[1] (numeric) = 0.36871911817143128688065390726927
absolute error = 5.3e-31
relative error = 1.4374085147209079854334685952943e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 0.36794387965658467084624799548509
y[1] (numeric) = 0.36794387965658467084624799548455
absolute error = 5.4e-31
relative error = 1.4676151170227414259027409651628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 0.36716927319780572688556499758899
y[1] (numeric) = 0.36716927319780572688556499758845
absolute error = 5.4e-31
relative error = 1.4707113024381124664056873367921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 0.36639529956970084922701279437042
y[1] (numeric) = 0.36639529956970084922701279436988
absolute error = 5.4e-31
relative error = 1.4738180337853205222112215596850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 0.36562195954624360147766885223515
y[1] (numeric) = 0.3656219595462436014776688522346
absolute error = 5.5e-31
relative error = 1.5042860135714479618940141967098e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 0.36484925390077394264978111392316
y[1] (numeric) = 0.36484925390077394264978111392261
absolute error = 5.5e-31
relative error = 1.5074719055053364416349231704885e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 0.36407718340599745382087343125516
y[1] (numeric) = 0.36407718340599745382087343125461
absolute error = 5.5e-31
relative error = 1.5106686852899330420422441886633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 0.36330574883398456542822887973832
y[1] (numeric) = 0.36330574883398456542822887973777
absolute error = 5.5e-31
relative error = 1.5138764023558758736434422955575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 0.3625349509561697851985236604836
y[1] (numeric) = 0.36253495095616978519852366048305
absolute error = 5.5e-31
relative error = 1.5170951064149801225328952743210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 0.36176479054335092671338365973637
y[1] (numeric) = 0.36176479054335092671338365973582
absolute error = 5.5e-31
relative error = 1.5203248474621592809683112086604e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 0.36099526836568833861163510039955
y[1] (numeric) = 0.36099526836568833861163510039899
absolute error = 5.6e-31
relative error = 1.5512668698824046513801724400617e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 0.36022638519270413442902008323424
memory used=564.5MB, alloc=4.5MB, time=25.09
y[1] (numeric) = 0.36022638519270413442902008323368
absolute error = 5.6e-31
relative error = 1.5545779626898412766111640024533e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 0.35945814179328142307614717795833
y[1] (numeric) = 0.35945814179328142307614717795777
absolute error = 5.6e-31
relative error = 1.5579004476188689683952294753416e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 0.3586905389356635399554465862282
y[1] (numeric) = 0.35869053893566353995544658622763
absolute error = 5.7e-31
relative error = 1.5891135620452981649197758116381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 0.35792357738745327871789875948428
y[1] (numeric) = 0.35792357738745327871789875948371
absolute error = 5.7e-31
relative error = 1.5925187274907386098626785685215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 0.35715725791561212366030471486802
y[1] (numeric) = 0.35715725791561212366030471486745
absolute error = 5.7e-31
relative error = 1.5959356484215074250153011855022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 0.3563915812864594827638656518757
y[1] (numeric) = 0.35639158128645948276386565187512
absolute error = 5.8e-31
relative error = 1.6274234029501643411522838763308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 0.35562654826567192137483883110578
y[1] (numeric) = 0.35562654826567192137483883110521
absolute error = 5.7e-31
relative error = 1.6028049727439913268284954938748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 0.35486215961828239652803603438001
y[1] (numeric) = 0.35486215961828239652803603437944
absolute error = 5.7e-31
relative error = 1.6062574849150914194421095998024e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 0.35409841610867949191393028267586
y[1] (numeric) = 0.35409841610867949191393028267529
absolute error = 5.7e-31
relative error = 1.6097219701345860698882152842904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 0.35333531850060665349013584470008
y[1] (numeric) = 0.35333531850060665349013584469951
absolute error = 5.7e-31
relative error = 1.6131984835787689520476144749203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 0.35257286755716142573802592455945
y[1] (numeric) = 0.35257286755716142573802592455888
absolute error = 5.7e-31
relative error = 1.6166870807425017226900239734919e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 0.35181106404079468856525177184749
y[1] (numeric) = 0.35181106404079468856525177184691
absolute error = 5.8e-31
relative error = 1.6486121651158343904704887415367e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 0.35104990871330989485492631156442
y[1] (numeric) = 0.35104990871330989485492631156384
absolute error = 5.8e-31
relative error = 1.6521867278810933596781701641146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 0.35028940233586230866223474462322
y[1] (numeric) = 0.35028940233586230866223474462264
absolute error = 5.8e-31
relative error = 1.6557737577338637356352584266461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 0.34952954566895824405923392226762
y[1] (numeric) = 0.34952954566895824405923392226703
absolute error = 5.9e-31
relative error = 1.6879831971595125797639819296408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=568.4MB, alloc=4.5MB, time=25.26
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 0.3487703394724543046286016495393
y[1] (numeric) = 0.34877033947245430462860164953872
absolute error = 5.8e-31
relative error = 1.6629854501885132081822586589999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 0.34801178450555662360709642398167
y[1] (numeric) = 0.34801178450555662360709642398108
absolute error = 5.9e-31
relative error = 1.6953448885021294632922949557475e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 0.34725388152682010467948746605694
y[1] (numeric) = 0.34725388152682010467948746605635
absolute error = 5.9e-31
relative error = 1.6990450831128620027124003770387e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 0.34649663129414766342371424728352
y[1] (numeric) = 0.34649663129414766342371424728293
absolute error = 5.9e-31
relative error = 1.7027582571189202624398202546998e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 0.34574003456478946940803407087068
y[1] (numeric) = 0.34574003456478946940803407087009
absolute error = 5.9e-31
relative error = 1.7064844710352389826251873658372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 0.34498409209534218894091560763998
y[1] (numeric) = 0.34498409209534218894091560763938
absolute error = 6.0e-31
relative error = 1.7392106295561589302175936634045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 0.34422880464174822847443563727665
y[1] (numeric) = 0.34422880464174822847443563727606
absolute error = 5.9e-31
relative error = 1.7139762624282271565497779342153e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.287
y[1] (analytic) = 0.34347417295929497866193559145131
y[1] (numeric) = 0.34347417295929497866193559145072
absolute error = 5.9e-31
relative error = 1.7177419627120573145553011655572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 0.34272019780261405907069384109226
y[1] (numeric) = 0.34272019780261405907069384109167
absolute error = 5.9e-31
relative error = 1.7215209485254908502772738407347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 0.34196687992568056355036901507334
y[1] (numeric) = 0.34196687992568056355036901507275
absolute error = 5.9e-31
relative error = 1.7253132821758186372620939324047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 0.34121422008181230625796898181105
y[1] (numeric) = 0.34121422008181230625796898181046
absolute error = 5.9e-31
relative error = 1.7291190263364076229322584678851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 0.34046221902366906834009946873906
y[1] (numeric) = 0.34046221902366906834009946873847
absolute error = 5.9e-31
relative error = 1.7329382440492845588615091305218e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 0.33971087750325184527324563734885
y[1] (numeric) = 0.33971087750325184527324563734826
absolute error = 5.9e-31
relative error = 1.7367709987277410315984865409226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 0.33896019627190209486283927345207
y[1] (numeric) = 0.33896019627190209486283927345148
absolute error = 5.9e-31
relative error = 1.7406173541589599949652087034023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 0.33821017608030098590186359353482
y[1] (numeric) = 0.33821017608030098590186359353423
absolute error = 5.9e-31
relative error = 1.7444773745066640068914436133637e-28 %
Correct digits = 29
h = 0.001
memory used=572.2MB, alloc=4.5MB, time=25.43
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 0.33746081767846864748974700853641
y[1] (numeric) = 0.33746081767846864748974700853583
absolute error = 5.8e-31
relative error = 1.7187180544101618950567764741261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 0.33671212181576341901229652609632
y[1] (numeric) = 0.33671212181576341901229652609574
absolute error = 5.8e-31
relative error = 1.7225397080220201469952840311579e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 0.33596408924088110078342081127335
y[1] (numeric) = 0.33596408924088110078342081127276
absolute error = 5.9e-31
relative error = 1.7561400723902340831217949147492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 0.33521672070185420534939226395157
y[1] (numeric) = 0.33521672070185420534939226395098
absolute error = 5.9e-31
relative error = 1.7600554016658170114334767797283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 0.33447001694605120945639680860861
y[1] (numeric) = 0.33447001694605120945639680860802
absolute error = 5.9e-31
relative error = 1.7639847224188254886592397697844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 0.33372397872017580668211942883398
y[1] (numeric) = 0.33372397872017580668211942883339
absolute error = 5.9e-31
relative error = 1.7679281011290742603259431600513e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 0.33297860677026616073211281494988
y[1] (numeric) = 0.33297860677026616073211281494929
absolute error = 5.9e-31
relative error = 1.7718856046720805781520338158020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 0.33223390184169415940169582830336
y[1] (numeric) = 0.33223390184169415940169582830276
absolute error = 6.0e-31
relative error = 1.8059565765985359132388208961207e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 0.33148986467916466920412782026938
y[1] (numeric) = 0.33148986467916466920412782026878
absolute error = 6.0e-31
relative error = 1.8100100905972349596891309226526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 0.3307464960267147906658041777283
y[1] (numeric) = 0.3307464960267147906658041777277
absolute error = 6.0e-31
relative error = 1.8140781753029887920426423510947e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 0.33000379662771311428921779976011
y[1] (numeric) = 0.33000379662771311428921779975951
absolute error = 6.0e-31
relative error = 1.8181609003634508463471433590434e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 0.329261767224858977184430542532
y[1] (numeric) = 0.3292617672248589771844305425314
absolute error = 6.0e-31
relative error = 1.8222583358433135494789165407744e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 0.32852040856018172036979800084588
y[1] (numeric) = 0.32852040856018172036979800084528
absolute error = 6.0e-31
relative error = 1.8263705522273082103945532562276e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 0.32777972137503994674269032555915
y[1] (numeric) = 0.32777972137503994674269032555855
absolute error = 6.0e-31
relative error = 1.8304976204232301177773301168800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=576.0MB, alloc=4.5MB, time=25.60
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 0.32703970641012077972095110609605
y[1] (numeric) = 0.32703970641012077972095110609545
absolute error = 6.0e-31
relative error = 1.8346396117649890864199824517985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 0.32630036440543912255583567652897
y[1] (numeric) = 0.32630036440543912255583567652836
absolute error = 6.1e-31
relative error = 1.8694432079826137922652223659714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 0.32556169610033691831716953222965
y[1] (numeric) = 0.32556169610033691831716953222905
absolute error = 6.0e-31
relative error = 1.8429686513707134790399685993248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 0.32482370223348241055146687187027
y[1] (numeric) = 0.32482370223348241055146687186966
absolute error = 6.1e-31
relative error = 1.8779417752019020688661414001496e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 0.32408638354286940461374860659408
y[1] (numeric) = 0.32408638354286940461374860659347
absolute error = 6.1e-31
relative error = 1.8822142211948580585208261660790e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 0.32334974076581652967379850447631
y[1] (numeric) = 0.32334974076581652967379850447569
absolute error = 6.2e-31
relative error = 1.9174284739848610367065286154576e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 0.32261377463896650139759546395736
y[1] (numeric) = 0.32261377463896650139759546395675
absolute error = 6.1e-31
relative error = 1.8908058116323279666262807698692e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 0.32187848589828538530465923475492
y[1] (numeric) = 0.32187848589828538530465923475431
absolute error = 6.1e-31
relative error = 1.8951251069099471284601846518119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 0.32114387527906186080204622884755
y[1] (numeric) = 0.32114387527906186080204622884694
absolute error = 6.1e-31
relative error = 1.8994601702116632627085345776889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 0.32040994351590648589573138747291
y[1] (numeric) = 0.32040994351590648589573138747229
absolute error = 6.2e-31
relative error = 1.9350210957770123455362747157415e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 0.31967669134275096258011139269722
y[1] (numeric) = 0.3196766913427509625801113926966
absolute error = 6.2e-31
relative error = 1.9394595126588331244677179476399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 0.31894411949284740290636383399177
y[1] (numeric) = 0.31894411949284740290636383399115
absolute error = 6.2e-31
relative error = 1.9439141909431066810824764678149e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 0.31821222869876759573039626139591
y[1] (numeric) = 0.31821222869876759573039626139529
absolute error = 6.2e-31
relative error = 1.9483852098811600393140086699062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.322
y[1] (analytic) = 0.31748101969240227414111837725656
y[1] (numeric) = 0.31748101969240227414111837725594
absolute error = 6.2e-31
relative error = 1.9528726492081296254762888007125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 0.31675049320496038356976993821091
y[1] (numeric) = 0.31675049320496038356976993821028
absolute error = 6.3e-31
relative error = 1.9889471792940338793154864482860e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=579.8MB, alloc=4.5MB, time=25.77
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 0.31602064996696835058103625802337
y[1] (numeric) = 0.31602064996696835058103625802274
absolute error = 6.3e-31
relative error = 1.9935406121905322788379304264562e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 0.31529149070826935234668252010051
y[1] (numeric) = 0.31529149070826935234668252009988
absolute error = 6.3e-31
relative error = 1.9981509763703768283605176776319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 0.31456301615802258680243742598856
y[1] (numeric) = 0.31456301615802258680243742598793
absolute error = 6.3e-31
relative error = 2.0027783548575709980269157303466e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 0.3138352270447025434888560229092
y[1] (numeric) = 0.31383522704470254348885602290857
absolute error = 6.3e-31
relative error = 2.0074228311860704330313505689265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 0.31310812409609827507689086940995
y[1] (numeric) = 0.31310812409609827507689086940932
absolute error = 6.3e-31
relative error = 2.0120844894035459497031527985322e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 0.3123817080393126695789000134973
y[1] (numeric) = 0.31238170803931266957890001349667
absolute error = 6.3e-31
relative error = 2.0167634140751789675330419171171e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 0.311655979600761723245819572184
y[1] (numeric) = 0.31165597960076172324581957218337
absolute error = 6.3e-31
relative error = 2.0214596902874896970641046741906e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 0.31093093950617381415122801521725
y[1] (numeric) = 0.31093093950617381415122801521662
absolute error = 6.3e-31
relative error = 2.0261734036521984071247120906828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 0.31020658848058897646302856886308
y[1] (numeric) = 0.31020658848058897646302856886245
absolute error = 6.3e-31
relative error = 2.0309046403101200984788375620664e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 0.30948292724835817540347546800393
y[1] (numeric) = 0.30948292724835817540347546800331
absolute error = 6.2e-31
relative error = 2.0033415268250120746975076162044e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 0.30875995653314258289826909646289
y[1] (numeric) = 0.30875995653314258289826909646226
absolute error = 6.3e-31
relative error = 2.0404200307379406240588035091923e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 0.30803767705791285391544436639888
y[1] (numeric) = 0.30803767705791285391544436639826
absolute error = 6.2e-31
relative error = 2.0127407982090334884055931754486e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 0.30731608954494840349477599782441
y[1] (numeric) = 0.30731608954494840349477599782379
absolute error = 6.2e-31
relative error = 2.0174667747401428826643835739774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 0.30659519471583668446842366878003
y[1] (numeric) = 0.3065951947158366844684236687794
absolute error = 6.3e-31
relative error = 2.0548267254609335125094541090983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=583.6MB, alloc=4.5MB, time=25.94
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 0.30587499329147246587353931546041
y[1] (numeric) = 0.30587499329147246587353931545978
absolute error = 6.3e-31
relative error = 2.0596649409638544095822425625052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 0.3051554859920571120575581696245
y[1] (numeric) = 0.30515548599205711205755816962387
absolute error = 6.3e-31
relative error = 2.0645212978946682325873765170028e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 0.30443667353709786247689442793865
y[1] (numeric) = 0.30443667353709786247689442793802
absolute error = 6.3e-31
relative error = 2.0693958867712757214262105650100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 0.30371855664540711218976175449702
y[1] (numeric) = 0.3037185566454071121897617544964
absolute error = 6.2e-31
relative error = 2.0413635796506599587820799881177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 0.30300113603510169304383812363889
y[1] (numeric) = 0.30300113603510169304383812363826
absolute error = 6.3e-31
relative error = 2.0792001252662516599482130615191e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 0.30228441242360215555949381533793
y[1] (numeric) = 0.3022844124236021555594938153373
absolute error = 6.3e-31
relative error = 2.0841299587659785017317153082069e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 0.30156838652763205150930067987589
y[1] (numeric) = 0.30156838652763205150930067987526
absolute error = 6.3e-31
relative error = 2.0890783919828230346212486613960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 0.30085305906321721719454009223136
y[1] (numeric) = 0.30085305906321721719454009223072
absolute error = 6.4e-31
relative error = 2.1272843360569553128357735617716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 0.30013843074568505741942631961609
y[1] (numeric) = 0.30013843074568505741942631961545
absolute error = 6.4e-31
relative error = 2.1323493909458343004402228950943e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 0.29942450228966383016376132787583
y[1] (numeric) = 0.29942450228966383016376132787519
absolute error = 6.4e-31
relative error = 2.1374336271948205121367361087104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 0.2987112744090819319547363540412
y[1] (numeric) = 0.29871127440908193195473635404056
absolute error = 6.4e-31
relative error = 2.1425371414790550117601851240484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 0.29799874781716718393859487316751
y[1] (numeric) = 0.29799874781716718393859487316687
absolute error = 6.4e-31
relative error = 2.1476600310839652635909941413254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 0.29728692322644611865287088774108
y[1] (numeric) = 0.29728692322644611865287088774043
absolute error = 6.5e-31
relative error = 2.1864399313147358448932799266736e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 0.29657580134874326749991576735427
y[1] (numeric) = 0.29657580134874326749991576735362
absolute error = 6.5e-31
relative error = 2.1916825211092171214128104400834e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 0.29586538289518044892242616506312
y[1] (numeric) = 0.29586538289518044892242616506247
absolute error = 6.5e-31
relative error = 2.1969450891464473827491033096485e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=587.4MB, alloc=4.5MB, time=26.11
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 0.29515566857617605728168483484025
y[1] (numeric) = 0.2951556685761760572816848348396
absolute error = 6.5e-31
relative error = 2.2022277367586554543076902165605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 0.29444665910144435243922547182298
y[1] (numeric) = 0.29444665910144435243922547182233
absolute error = 6.5e-31
relative error = 2.2075305659218177484916351571220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 0.29373835517999475004263199363266
y[1] (numeric) = 0.29373835517999475004263199363201
absolute error = 6.5e-31
relative error = 2.2128536792605717258836519438473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 0.29303075752013111251618197690676
y[1] (numeric) = 0.29303075752013111251618197690611
absolute error = 6.5e-31
relative error = 2.2181971800531731655687099654708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 0.29232386682945104075704325834119
y[1] (numeric) = 0.29232386682945104075704325834054
absolute error = 6.5e-31
relative error = 2.2235611722364976915757055183926e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 0.29161768381484516653773200398724
y[1] (numeric) = 0.29161768381484516653773200398659
absolute error = 6.5e-31
relative error = 2.2289457604110870075538461382146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 0.2909122091824964456155398442861
y[1] (numeric) = 0.29091220918249644561553984428545
absolute error = 6.5e-31
relative error = 2.2343510498462402970021490293607e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 0.2902074436378794515496369653549
y[1] (numeric) = 0.29020744363787945154963696535425
absolute error = 6.5e-31
relative error = 2.2397771464851512516398169225683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.361
y[1] (analytic) = 0.28950338788575967022655733936239
y[1] (numeric) = 0.28950338788575967022655733936173
absolute error = 6.6e-31
relative error = 2.2797660670570156757781980261142e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 0.28880004263019279509477156845012
y[1] (numeric) = 0.28880004263019279509477156844947
absolute error = 6.5e-31
relative error = 2.2506921885476387804721818478016e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 0.28809740857452402310905210756775
y[1] (numeric) = 0.28809740857452402310905210756709
absolute error = 6.6e-31
relative error = 2.2908918315704791360651996434059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 0.28739548642138735138533492179828
y[1] (numeric) = 0.28739548642138735138533492179762
absolute error = 6.6e-31
relative error = 2.2964870054788871084440506288179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 0.28669427687270487456678092325332
y[1] (numeric) = 0.28669427687270487456678092325266
absolute error = 6.6e-31
relative error = 2.3021038550171219461932325978255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 0.28599378062968608290173982141807
y[1] (numeric) = 0.28599378062968608290173982141741
absolute error = 6.6e-31
relative error = 2.3077424919760376252997849367459e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=591.2MB, alloc=4.5MB, time=26.28
x[1] = 2.367
y[1] (analytic) = 0.28529399839282716103431830892385
y[1] (numeric) = 0.28529399839282716103431830892319
absolute error = 6.6e-31
relative error = 2.3134030288686005088734973676032e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 0.28459493086191028750825379212153
y[1] (numeric) = 0.28459493086191028750825379212087
absolute error = 6.6e-31
relative error = 2.3190855789354936221227254397020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 0.28389657873600293498479416252372
y[1] (numeric) = 0.28389657873600293498479416252306
absolute error = 6.6e-31
relative error = 2.3247902561507717371957212591353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 0.28319894271345717117528339117765
y[1] (numeric) = 0.28319894271345717117528339117699
absolute error = 6.6e-31
relative error = 2.3305171752275677950333841504010e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 0.28250202349190896048915201332492
y[1] (numeric) = 0.28250202349190896048915201332426
absolute error = 6.6e-31
relative error = 2.3362664516238511975400318027034e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 0.28180582176827746639801085529937
y[1] (numeric) = 0.28180582176827746639801085529871
absolute error = 6.6e-31
relative error = 2.3420382015482385096195916170370e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 0.2811103382387643545165456395113
y[1] (numeric) = 0.28111033823876435451654563951063
absolute error = 6.7e-31
relative error = 2.3834057622986731338700958782699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 0.28041557359885309640090938656525
y[1] (numeric) = 0.28041557359885309640090938656458
absolute error = 6.7e-31
relative error = 2.3893109480376603067728154106526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 0.27972152854330827406530881606105
y[1] (numeric) = 0.27972152854330827406530881606037
absolute error = 6.8e-31
relative error = 2.4309891467460576806583927361708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 0.27902820376617488521748022943363
y[1] (numeric) = 0.27902820376617488521748022943295
absolute error = 6.8e-31
relative error = 2.4370296293411211320024453871829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 0.27833559996077764921374963929797
y[1] (numeric) = 0.27833559996077764921374963929729
absolute error = 6.8e-31
relative error = 2.4430938769450400345671869964775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 0.27764371781972031373437119018108
y[1] (numeric) = 0.2776437178197203137343711901804
absolute error = 6.8e-31
relative error = 2.4491820140570865179871724919108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 0.27695255803488496217983719524493
y[1] (numeric) = 0.27695255803488496217983719524425
absolute error = 6.8e-31
relative error = 2.4552941659933942761378847134982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 0.27626212129743132178885239263247
y[1] (numeric) = 0.27626212129743132178885239263179
absolute error = 6.8e-31
relative error = 2.4614304588933981474789121886887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 0.27557240829779607247866430340493
y[1] (numeric) = 0.27557240829779607247866430340425
absolute error = 6.8e-31
relative error = 2.4675910197263330000798765784515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=595.1MB, alloc=4.5MB, time=26.45
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 0.27488341972569215640844085068237
y[1] (numeric) = 0.27488341972569215640844085068168
absolute error = 6.9e-31
relative error = 2.5101550347727600837802839864398e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 0.27419515627010808826638567655233
y[1] (numeric) = 0.27419515627010808826638567655165
absolute error = 6.8e-31
relative error = 2.4799854572563487197857328944435e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 0.2735076186193072662812808695739
y[1] (numeric) = 0.27350761861930726628128086957321
absolute error = 6.9e-31
relative error = 2.5227816449252356695116232860448e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 0.2728208074608272839591460912768
y[1] (numeric) = 0.27282080746082728395914609127611
absolute error = 6.9e-31
relative error = 2.5291326069367820980487316670427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 0.27213472348147924254570236493937
y[1] (numeric) = 0.27213472348147924254570236493868
absolute error = 6.9e-31
relative error = 2.5355088508099171124300695961267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 0.27144936736734706421532806412401
y[1] (numeric) = 0.27144936736734706421532806412332
absolute error = 6.9e-31
relative error = 2.5419105105750223998208104138736e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 0.27076473980378680598719391195711
y[1] (numeric) = 0.27076473980378680598719391195642
absolute error = 6.9e-31
relative error = 2.5483377211523830011641274509739e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 0.27008084147542597436926307496117
y[1] (numeric) = 0.27008084147542597436926307496048
absolute error = 6.9e-31
relative error = 2.5547906183592866587566795184043e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 0.26939767306616284073084170738194
y[1] (numeric) = 0.26939767306616284073084170738125
absolute error = 6.9e-31
relative error = 2.5612693389171893279881217553181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 0.26871523525916575740436457340297
y[1] (numeric) = 0.26871523525916575740436457340228
absolute error = 6.9e-31
relative error = 2.5677740204589475589075048986126e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 0.268033528736872474517099645405
y[1] (numeric) = 0.2680335287368724745170996454043
absolute error = 7.0e-31
relative error = 2.6116135667757723525077354279058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 0.26735255418098945755345484650857
y[1] (numeric) = 0.26735255418098945755345484650787
absolute error = 7.0e-31
relative error = 2.6182656161426515731115075210445e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 0.26667231227249120564856937503635
y[1] (numeric) = 0.26667231227249120564856937503565
absolute error = 7.0e-31
relative error = 2.6249444272441967213294173542283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 0.26599280369161957061387131724699
y[1] (numeric) = 0.26599280369161957061387131724629
absolute error = 7.0e-31
relative error = 2.6316501434811349304050328617699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=598.9MB, alloc=4.5MB, time=26.62
x[1] = 2.396
y[1] (analytic) = 0.26531402911788307669528252272608
y[1] (numeric) = 0.26531402911788307669528252272539
absolute error = 6.9e-31
relative error = 2.6006917247991528482073402790471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 0.26463598923005624106475098417283
y[1] (numeric) = 0.26463598923005624106475098417214
absolute error = 6.9e-31
relative error = 2.6073551145009293623965967460628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 0.26395868470617889504579022999324
y[1] (numeric) = 0.26395868470617889504579022999254
absolute error = 7.0e-31
relative error = 2.6519301714932890094128374080639e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 0.26328211622355550607370450410398
y[1] (numeric) = 0.26328211622355550607370450410327
absolute error = 7.1e-31
relative error = 2.6967270325232870108868966506712e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 0.26260628445875450039117777266522
y[1] (numeric) = 0.26260628445875450039117777266451
absolute error = 7.1e-31
relative error = 2.7036672083585040965945967836212e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 0.26193119008760758647990386209698
y[1] (numeric) = 0.26193119008760758647990386209627
absolute error = 7.1e-31
relative error = 2.7106355671599390669531657723528e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 0.26125683378520907922893429669245
y[1] (numeric) = 0.26125683378520907922893429669174
absolute error = 7.1e-31
relative error = 2.7176322613774104593888154165567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 0.26058321622591522484041966742418
y[1] (numeric) = 0.26058321622591522484041966742347
absolute error = 7.1e-31
relative error = 2.7246574444935026084493756816691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 0.25991033808334352647341962614545
y[1] (numeric) = 0.25991033808334352647341962614474
absolute error = 7.1e-31
relative error = 2.7317112710319723772011255461496e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 0.2592382000303720706264558613207
y[1] (numeric) = 0.25923820003037207062645586131998
absolute error = 7.2e-31
relative error = 2.7773684584897039441836113183160e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 0.2585668027391388542594816726758
y[1] (numeric) = 0.25856680273913885425948167267509
absolute error = 7.1e-31
relative error = 2.7459054777279357436123563314607e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 0.25789614688104111265594102274271
y[1] (numeric) = 0.25789614688104111265594102274199
absolute error = 7.2e-31
relative error = 2.7918214704158103447118171393472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 0.25722623312673464802558920318316
y[1] (numeric) = 0.25722623312673464802558920318244
absolute error = 7.2e-31
relative error = 2.7990924224484444673646585165927e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 0.25655706214613315884874651301511
y[1] (numeric) = 0.25655706214613315884874651301439
absolute error = 7.2e-31
relative error = 2.8063932209743378400837460245723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 0.25588863460840756996265560443205
y[1] (numeric) = 0.25588863460840756996265560443133
absolute error = 7.2e-31
relative error = 2.8137240292122900653782786239502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=602.7MB, alloc=4.5MB, time=26.79
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 0.25522095118198536339061240980229
y[1] (numeric) = 0.25522095118198536339061240980156
absolute error = 7.3e-31
relative error = 2.8602667477697523214425938579724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 0.25455401253454990991453982066128
y[1] (numeric) = 0.25455401253454990991453982066055
absolute error = 7.3e-31
relative error = 2.8677607268159606214498517087001e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 0.25388781933303980139167254606782
y[1] (numeric) = 0.25388781933303980139167254606709
absolute error = 7.3e-31
relative error = 2.8752856356705141610278003004481e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 0.25322237224364818381602083358343
y[1] (numeric) = 0.25322237224364818381602083358271
absolute error = 7.2e-31
relative error = 2.8433506629786359280023512699339e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 0.25255767193182209112527999135581
y[1] (numeric) = 0.25255767193182209112527999135509
absolute error = 7.2e-31
relative error = 2.8508340075068632291667456385814e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 0.25189371906226177975385190434113
y[1] (numeric) = 0.25189371906226177975385190434041
absolute error = 7.2e-31
relative error = 2.8583483648595229309680947586745e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 0.25123051429892006393264399158836
y[1] (numeric) = 0.25123051429892006393264399158763
absolute error = 7.3e-31
relative error = 2.9056979883081741080463082682776e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 0.25056805830500165173631030473117
y[1] (numeric) = 0.25056805830500165173631030473044
absolute error = 7.3e-31
relative error = 2.9133801209067687749238336753617e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 0.24990635174296248187859872039108
y[1] (numeric) = 0.24990635174296248187859872039035
absolute error = 7.3e-31
relative error = 2.9210942215299545843509662586178e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 0.24924539527450906125646743108926
y[1] (numeric) = 0.24924539527450906125646743108853
absolute error = 7.3e-31
relative error = 2.9288404674277201900418792271344e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 0.24858518956059780324363319049545
y[1] (numeric) = 0.24858518956059780324363319049472
absolute error = 7.3e-31
relative error = 2.9366190370808367784496183452260e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 0.24792573526143436673421301941044
y[1] (numeric) = 0.24792573526143436673421301940971
absolute error = 7.3e-31
relative error = 2.9444301102111274521130484769986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 0.2472670330364729959371203287855
y[1] (numeric) = 0.24726703303647299593712032878477
absolute error = 7.3e-31
relative error = 2.9522738677918367193525625417454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 0.24660908354441586092187566532746
y[1] (numeric) = 0.24660908354441586092187566532672
absolute error = 7.4e-31
relative error = 3.0007004987986231414592537406586e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 0.24595188744321239891649153382383
memory used=606.5MB, alloc=4.5MB, time=26.96
y[1] (numeric) = 0.24595188744321239891649153382309
absolute error = 7.4e-31
relative error = 3.0087185249629682446253194524760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 0.24529544539005865635808999824828
y[1] (numeric) = 0.24529544539005865635808999824753
absolute error = 7.5e-31
relative error = 3.0575374068090871697003939284380e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 0.2446397580413966316969110109739
y[1] (numeric) = 0.24463975804139663169691101097315
absolute error = 7.5e-31
relative error = 3.0657322669240418822880349630375e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.428
y[1] (analytic) = 0.24398482605291361895436866603135
y[1] (numeric) = 0.2439848260529136189543686660306
absolute error = 7.5e-31
relative error = 3.0739616562767127339281092618804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 0.24333065007954155203581181830073
y[1] (numeric) = 0.24333065007954155203581181829998
absolute error = 7.5e-31
relative error = 3.0822257687423880987843383200774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 0.2426772307754563497986447558221
y[1] (numeric) = 0.24267723077545634979864475582135
absolute error = 7.5e-31
relative error = 3.0905247995596163676802791088870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 0.24202456879407726187646285704926
y[1] (numeric) = 0.2420245687940772618764628570485
absolute error = 7.6e-31
relative error = 3.1401770646129478670317542759560e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 0.24137266478806621525985740885668
y[1] (numeric) = 0.24137266478806621525985740885593
absolute error = 7.5e-31
relative error = 3.1072284040884525003298898463723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 0.24072151940932716163454300444038
y[1] (numeric) = 0.24072151940932716163454300443962
absolute error = 7.6e-31
relative error = 3.1571751535336666582806072330321e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 0.24007113330900542547746018293074
y[1] (numeric) = 0.24007113330900542547746018292998
absolute error = 7.6e-31
relative error = 3.1657283802704124152588988912078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 0.23942150713748705291150521456059
y[1] (numeric) = 0.23942150713748705291150521455984
absolute error = 7.5e-31
relative error = 3.1325506591574283331883468341524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 0.23877264154439816131953817660431
y[1] (numeric) = 0.23877264154439816131953817660356
absolute error = 7.5e-31
relative error = 3.1410633779018713977456215690785e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 0.23812453717860428971831970602569
y[1] (numeric) = 0.23812453717860428971831970602494
absolute error = 7.5e-31
relative error = 3.1496124208210668801899061977942e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.438
y[1] (analytic) = 0.23747719468820974989302605484378
y[1] (numeric) = 0.23747719468820974989302605484303
absolute error = 7.5e-31
relative error = 3.1581979944840402152616061461434e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 0.23683061472055697829299131364746
y[1] (numeric) = 0.23683061472055697829299131364671
absolute error = 7.5e-31
relative error = 3.1668203069309507800412610907371e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=610.3MB, alloc=4.5MB, time=27.13
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 0.2361847979222258886893249074626
y[1] (numeric) = 0.23618479792222588868932490746185
absolute error = 7.5e-31
relative error = 3.1754795676856818759434324129180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 0.23553974493903322559505170630033
y[1] (numeric) = 0.23553974493903322559505170629958
absolute error = 7.5e-31
relative error = 3.1841759877685565937584715787317e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 0.2348954564160319184484213301924
y[1] (numeric) = 0.23489545641603191844842133019165
absolute error = 7.5e-31
relative error = 3.1929097797091810022704870664451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 0.23425193299751043656003246535058
y[1] (numeric) = 0.23425193299751043656003246534982
absolute error = 7.6e-31
relative error = 3.2443702396602083344788312294313e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 0.23360917532699214482441724427191
y[1] (numeric) = 0.23360917532699214482441724427115
absolute error = 7.6e-31
relative error = 3.2532968747318998801345991172502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 0.23296718404723466019672997815193
y[1] (numeric) = 0.23296718404723466019672997815116
absolute error = 7.7e-31
relative error = 3.3051865358164806468790103900164e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 0.23232595980022920893518376486324
y[1] (numeric) = 0.23232595980022920893518376486248
absolute error = 7.6e-31
relative error = 3.2712659431322413786342258970010e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 0.23168550322719998460987773000957
y[1] (numeric) = 0.23168550322719998460987773000881
absolute error = 7.6e-31
relative error = 3.2803088212848340635643462925687e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 0.23104581496860350687865689217426
y[1] (numeric) = 0.23104581496860350687865689217349
absolute error = 7.7e-31
relative error = 3.3326723537694644009492807019658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 0.23040689566412798103064587645012
y[1] (numeric) = 0.23040689566412798103064587644935
absolute error = 7.7e-31
relative error = 3.3419138684219562517285372859636e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 0.22976874595269265829809693266351
y[1] (numeric) = 0.22976874595269265829809693266274
absolute error = 7.7e-31
relative error = 3.3511955545012904113890714683209e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 0.2291313664724471969371919463912
y[1] (numeric) = 0.22913136647244719693719194639042
absolute error = 7.8e-31
relative error = 3.4041607310616469885064219263902e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 0.22849475786077102407843736191491
y[1] (numeric) = 0.22849475786077102407843736191413
absolute error = 7.8e-31
relative error = 3.4136450538409213965686645660536e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 0.22785892075427269834729016666538
y[1] (numeric) = 0.2278589207542726983472901666646
absolute error = 7.8e-31
relative error = 3.4231707822454163180100466735788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 0.22722385578878927325565231647682
y[1] (numeric) = 0.22722385578878927325565231647604
absolute error = 7.8e-31
relative error = 3.4327381572339443131025565629547e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=614.1MB, alloc=4.5MB, time=27.30
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 0.22658956359938566136487021010431
y[1] (numeric) = 0.22658956359938566136487021010352
absolute error = 7.9e-31
relative error = 3.4864800807716542131785475475536e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 0.22595604482035399922087504995166
y[1] (numeric) = 0.22595604482035399922087504995088
absolute error = 7.8e-31
relative error = 3.4519988195940399940808369019726e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 0.22532330008521301306209915381657
y[1] (numeric) = 0.22532330008521301306209915381578
absolute error = 7.9e-31
relative error = 3.5060732720550290736541586574394e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 0.22469133002670738530080250968363
y[1] (numeric) = 0.22469133002670738530080250968284
absolute error = 7.9e-31
relative error = 3.5159345040420499647590451874704e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 0.2240601352768071217784430921862
y[1] (numeric) = 0.22406013527680712177844309218541
absolute error = 7.9e-31
relative error = 3.5258391637763790922528359382967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 0.2234297164667069197957236853138
y[1] (numeric) = 0.223429716466706919795723685313
absolute error = 8.0e-31
relative error = 3.5805443100904948285641675054576e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 0.22280007422682553691794718126565
y[1] (numeric) = 0.22280007422682553691794718126485
absolute error = 8.0e-31
relative error = 3.5906630766448754399811285367537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 0.22217120918680516055631155004255
y[1] (numeric) = 0.22217120918680516055631155004175
absolute error = 8.0e-31
relative error = 3.6008266009271570767676060408577e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 0.2215431219755107783257748984294
y[1] (numeric) = 0.2215431219755107783257748984286
absolute error = 8.0e-31
relative error = 3.6110351468660419084688194308398e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 0.220915813221029549180120260451
y[1] (numeric) = 0.2209158132210295491801202604502
absolute error = 8.0e-31
relative error = 3.6212889803392576937200801042487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 0.22028928355067017532484898418385
y[1] (numeric) = 0.22028928355067017532484898418304
absolute error = 8.1e-31
relative error = 3.6769832238057400344816806366977e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 0.21966353359096227490853080197822
y[1] (numeric) = 0.21966353359096227490853080197742
absolute error = 8.0e-31
relative error = 3.6419335832486799007169887376520e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 0.21903856396765575549323789268825
y[1] (numeric) = 0.21903856396765575549323789268744
absolute error = 8.1e-31
relative error = 3.6979789555213132949421733458157e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 0.21841437530572018830468946542358
y[1] (numeric) = 0.21841437530572018830468946542277
absolute error = 8.1e-31
relative error = 3.7085471085235222253360253731189e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=618.0MB, alloc=4.5MB, time=27.47
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 0.21779096822934418326273261462607
y[1] (numeric) = 0.21779096822934418326273261462526
absolute error = 8.1e-31
relative error = 3.7191624913804125981614143194964e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 0.21716834336193476479278441593845
y[1] (numeric) = 0.21716834336193476479278441593764
absolute error = 8.1e-31
relative error = 3.7298253855077142913878058551333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 0.21654650132611674841885945137087
y[1] (numeric) = 0.21654650132611674841885945137006
absolute error = 8.1e-31
relative error = 3.7405360744210248775452183184568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 0.21592544274373211813880617068588
y[1] (numeric) = 0.21592544274373211813880617068507
absolute error = 8.1e-31
relative error = 3.7512948437546398079906664769070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 0.2153051682358394045823747137136
y[1] (numeric) = 0.21530516823583940458237471371279
absolute error = 8.1e-31
relative error = 3.7621019812805798918705742224321e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 0.21468567842271306395273803547742
y[1] (numeric) = 0.2146856784227130639527380354766
absolute error = 8.2e-31
relative error = 3.8195375025689026140193206127582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 0.21406697392384285775208739255729
y[1] (numeric) = 0.21406697392384285775208739255647
absolute error = 8.2e-31
relative error = 3.8305768749350648921491003971753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 0.21344905535793323329192246504358
y[1] (numeric) = 0.21344905535793323329192246504276
absolute error = 8.2e-31
relative error = 3.8416660997863871155367223931837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 0.21283192334290270498865560373962
y[1] (numeric) = 0.2128319233429027049886556037388
absolute error = 8.2e-31
relative error = 3.8528054773008021923405098474122e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 0.21221557849588323644514890695714
y[1] (numeric) = 0.21221557849588323644514890695632
absolute error = 8.2e-31
relative error = 3.8639953099197529227006922728002e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 0.21160002143321962331880204531611
y[1] (numeric) = 0.21160002143321962331880204531529
absolute error = 8.2e-31
relative error = 3.8752359023687042172095626600358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 0.21098525277046887697680796640967
y[1] (numeric) = 0.21098525277046887697680796640885
absolute error = 8.2e-31
relative error = 3.8865275616778725093763321889049e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 0.21037127312239960893919282402707
y[1] (numeric) = 0.21037127312239960893919282402625
absolute error = 8.2e-31
relative error = 3.8978705972031749943669989127020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 0.20975808310299141611025568884344
y[1] (numeric) = 0.20975808310299141611025568884261
absolute error = 8.3e-31
relative error = 3.9569392879723696715392789499590e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 0.20914568332543426679902280908542
y[1] (numeric) = 0.20914568332543426679902280908459
absolute error = 8.3e-31
relative error = 3.9685256076191913490813098775310e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=621.8MB, alloc=4.5MB, time=27.65
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 0.20853407440212788752933040066724
y[1] (numeric) = 0.20853407440212788752933040066641
absolute error = 8.3e-31
relative error = 3.9801648837468389136274235552423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 0.20792325694468115064014915666336
y[1] (numeric) = 0.20792325694468115064014915666253
absolute error = 8.3e-31
relative error = 3.9918574391167071817295411254023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 0.20731323156391146267676287574208
y[1] (numeric) = 0.20731323156391146267676287574124
absolute error = 8.4e-31
relative error = 4.0518397868929122967617761119717e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 0.20670399886984415357341281833059
y[1] (numeric) = 0.20670399886984415357341281832975
absolute error = 8.4e-31
relative error = 4.0637820486913994936334038950443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 0.2060955594717118666280186078162
y[1] (numeric) = 0.20609555947171186662801860781536
absolute error = 8.4e-31
relative error = 4.0757792266518783795449969957464e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 0.20548791397795394926958570201195
y[1] (numeric) = 0.20548791397795394926958570201111
absolute error = 8.4e-31
relative error = 4.0878316575354429073596023829405e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 0.20488106299621584461890866742843
y[1] (numeric) = 0.20488106299621584461890866742758
absolute error = 8.5e-31
relative error = 4.1487484864118432893412403762936e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 0.20427500713334848384317869559775
y[1] (numeric) = 0.2042750071333484838431786955969
absolute error = 8.5e-31
relative error = 4.1610572528098326005841062509248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 0.20366974699540767930510300679163
y[1] (numeric) = 0.20366974699540767930510300679078
absolute error = 8.5e-31
relative error = 4.1734229680128472721310142867887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 0.20306528318765351850714299196351
y[1] (numeric) = 0.20306528318765351850714299196266
absolute error = 8.5e-31
relative error = 4.1858459834048111182308554417749e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 0.20246161631454975883147714862612
y[1] (numeric) = 0.20246161631454975883147714862526
absolute error = 8.6e-31
relative error = 4.2477187313563727431075373960453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 0.20185874697976322307629407065104
y[1] (numeric) = 0.20185874697976322307629407065018
absolute error = 8.6e-31
relative error = 4.2604049260556287119588908050053e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 0.20125667578616319578901995564706
y[1] (numeric) = 0.2012566757861631957890199556462
absolute error = 8.6e-31
relative error = 4.2731501782020725514730804493013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 0.20065540333582082039708429663931
y[1] (numeric) = 0.20065540333582082039708429663844
absolute error = 8.7e-31
relative error = 4.3357915388102005325319941633346e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=625.6MB, alloc=4.5MB, time=27.82
x[1] = 2.498
y[1] (analytic) = 0.20005493023000849713682662723337
y[1] (numeric) = 0.2000549302300084971368266272325
absolute error = 8.7e-31
relative error = 4.3488055955418732276639792691381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 0.19945525706919928178114639130747
y[1] (numeric) = 0.1994552570691992817811463913066
absolute error = 8.7e-31
relative error = 4.3618805178855777210582278890372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 0.19885638445306628516649720953265
y[1] (numeric) = 0.19885638445306628516649720953178
absolute error = 8.7e-31
relative error = 4.3750166854981504780852875144743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 0.19825831298048207351982601567672
y[1] (numeric) = 0.19825831298048207351982601567585
absolute error = 8.7e-31
relative error = 4.3882144810021098465587872587058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 0.19766104324951806958605673570285
y[1] (numeric) = 0.19766104324951806958605673570198
absolute error = 8.7e-31
relative error = 4.4014742900134986731966813128906e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 0.19706457585744395455671738212922
y[1] (numeric) = 0.19706457585744395455671738212835
absolute error = 8.7e-31
relative error = 4.4147965011700323585485005481762e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 0.19646891140072707080030863497276
y[1] (numeric) = 0.19646891140072707080030863497189
absolute error = 8.7e-31
relative error = 4.4281815061595561857854559012833e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 0.19587405047503182539501117885872
y[1] (numeric) = 0.19587405047503182539501117885784
absolute error = 8.8e-31
relative error = 4.4926829146884573740858618728911e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 0.19527999367521909446432826353884
y[1] (numeric) = 0.19527999367521909446432826353797
absolute error = 8.7e-31
relative error = 4.4551414798125448739160188993804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 0.19468674159534562831625915212623
y[1] (numeric) = 0.19468674159534562831625915212536
absolute error = 8.7e-31
relative error = 4.4687172473628736874333208594184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 0.19409429482866345738659831782356
y[1] (numeric) = 0.19409429482866345738659831782269
absolute error = 8.7e-31
relative error = 4.4823574065790631342401398265313e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 0.19350265396761929898695444579618
y[1] (numeric) = 0.19350265396761929898695444579532
absolute error = 8.6e-31
relative error = 4.4443834870808141622826560916767e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 0.19291181960385396485808249212159
y[1] (numeric) = 0.19291181960385396485808249212072
absolute error = 8.7e-31
relative error = 4.5098325327424326669042185763649e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 0.19232179232820176952912124643375
y[1] (numeric) = 0.19232179232820176952912124643288
absolute error = 8.7e-31
relative error = 4.5236683241560272652261757076922e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 0.19173257273068993948332803897559
y[1] (numeric) = 0.19173257273068993948332803897472
absolute error = 8.7e-31
relative error = 4.5375701562301221158335930313089e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=629.4MB, alloc=4.5MB, time=27.99
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 0.19114416140053802313090142627556
y[1] (numeric) = 0.19114416140053802313090142627469
absolute error = 8.7e-31
relative error = 4.5515384494373112828599090795575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 0.19055655892615730158948188257647
y[1] (numeric) = 0.1905565589261573015894818825756
absolute error = 8.7e-31
relative error = 4.5655736276027857768678939287624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 0.18996976589515020027291971646679
y[1] (numeric) = 0.18996976589515020027291971646592
absolute error = 8.7e-31
relative error = 4.5796761179364621830430141445912e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 0.18938378289430970128889862389753
y[1] (numeric) = 0.18938378289430970128889862389666
absolute error = 8.7e-31
relative error = 4.5938463510654710761428433256816e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 0.18879861050961875664600247991206
y[1] (numeric) = 0.18879861050961875664600247991119
absolute error = 8.7e-31
relative error = 4.6080847610670098341594730617012e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 0.18821424932624970227081216197329
y[1] (numeric) = 0.18821424932624970227081216197242
absolute error = 8.7e-31
relative error = 4.6223917855015645292672115322871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 0.18763069992856367283561838774248
y[1] (numeric) = 0.18763069992856367283561838774161
absolute error = 8.7e-31
relative error = 4.6367678654465056423140134074949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 0.18704796290011001739733573954815
y[1] (numeric) = 0.18704796290011001739733573954727
absolute error = 8.8e-31
relative error = 4.7046756690419022137748351321456e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 0.18646603882362571584820223658225
y[1] (numeric) = 0.18646603882362571584820223658137
absolute error = 8.8e-31
relative error = 4.7193580426319529232089290425254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 0.18588492828103479617884800407558
y[1] (numeric) = 0.18588492828103479617884800407469
absolute error = 8.9e-31
relative error = 4.7879083486232469214591785985038e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 0.18530463185344775255431577633497
y[1] (numeric) = 0.18530463185344775255431577633408
absolute error = 8.9e-31
relative error = 4.8029020704883194322503135306127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 0.18472515012116096420361515757352
y[1] (numeric) = 0.18472515012116096420361515757263
absolute error = 8.9e-31
relative error = 4.8179687466284383104066511732028e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 0.18414648366365611512339175093093
y[1] (numeric) = 0.18414648366365611512339175093004
absolute error = 8.9e-31
relative error = 4.8331088505908513943673545237226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 0.18356863305959961459629145196665
y[1] (numeric) = 0.18356863305959961459629145196576
absolute error = 8.9e-31
relative error = 4.8483228597722456544042824213200e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=633.2MB, alloc=4.5MB, time=28.16
x[1] = 2.527
y[1] (analytic) = 0.18299159888684201852459938821314
y[1] (numeric) = 0.18299159888684201852459938821225
absolute error = 8.9e-31
relative error = 4.8636112554563580394118555993949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 0.18241538172241745157973217110213
y[1] (numeric) = 0.18241538172241745157973217110123
absolute error = 9.0e-31
relative error = 4.9337944613110271586226068680501e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 0.18183998214254303016816131072345
y[1] (numeric) = 0.18183998214254303016816131072256
absolute error = 8.9e-31
relative error = 4.8944131511316115206324714349661e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 0.18126540072261828621434482744501
y[1] (numeric) = 0.18126540072261828621434482744411
absolute error = 9.0e-31
relative error = 4.9650953596887839614780037018204e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 0.18069163803722459176124327741408
y[1] (numeric) = 0.18069163803722459176124327741318
absolute error = 9.0e-31
relative error = 4.9808613712084975887894561394639e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 0.18011869466012458438899559137622
y[1] (numeric) = 0.18011869466012458438899559137532
absolute error = 9.0e-31
relative error = 4.9967050988141859574604196646407e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 0.17954657116426159345232930808785
y[1] (numeric) = 0.17954657116426159345232930808695
absolute error = 9.0e-31
relative error = 5.0126270536050387327785937948516e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 0.17897526812175906713727896486459
y[1] (numeric) = 0.17897526812175906713727896486369
absolute error = 9.0e-31
relative error = 5.0286277508896870380495168415874e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 0.17840478610392000033778558849911
y[1] (numeric) = 0.17840478610392000033778558849821
absolute error = 9.0e-31
relative error = 5.0447077102278745652545986769291e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 0.17783512568122636335274940990148
y[1] (numeric) = 0.17783512568122636335274940990058
absolute error = 9.0e-31
relative error = 5.0608674554726107561602969039928e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 0.17726628742333853140410710536149
y[1] (numeric) = 0.17726628742333853140410710536059
absolute error = 9.0e-31
relative error = 5.0771075148128124379250298232411e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 0.17669827189909471497650404630835
y[1] (numeric) = 0.17669827189909471497650404630745
absolute error = 9.0e-31
relative error = 5.0934284208164403925198420095470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 0.17613107967651039097913121784797
y[1] (numeric) = 0.17613107967651039097913121784707
absolute error = 9.0e-31
relative error = 5.1098307104741374361305617824905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 0.17556471132277773473029564419343
y[1] (numeric) = 0.17556471132277773473029564419253
absolute error = 9.0e-31
relative error = 5.1263149252433746831721704060659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 0.17499916740426505276529233637102
y[1] (numeric) = 0.17499916740426505276529233637012
absolute error = 9.0e-31
relative error = 5.1428816110931127696498755648513e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=637.0MB, alloc=4.5MB, time=28.33
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 0.17443444848651621646814495428251
y[1] (numeric) = 0.17443444848651621646814495428161
absolute error = 9.0e-31
relative error = 5.1595313185489849123760731971268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 0.17387055513425009652778155133589
y[1] (numeric) = 0.17387055513425009652778155133499
absolute error = 9.0e-31
relative error = 5.1762646027390087840287232397726e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 0.17330748791135999821921094542164
y[1] (numeric) = 0.17330748791135999821921094542074
absolute error = 9.0e-31
relative error = 5.1930820234398342892460049866285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 0.17274524738091309751026443501109
y[1] (numeric) = 0.17274524738091309751026443501019
absolute error = 9.0e-31
relative error = 5.2099841451235344339264363954323e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 0.17218383410514987799446675358825
y[1] (numeric) = 0.17218383410514987799446675358735
absolute error = 9.0e-31
relative error = 5.2269715370049465886755634812133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 0.17162324864548356865059932949713
y[1] (numeric) = 0.17162324864548356865059932949623
absolute error = 9.0e-31
relative error = 5.2440447730895715579431345685903e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 0.17106349156249958242951809159452
y[1] (numeric) = 0.17106349156249958242951809159362
absolute error = 9.0e-31
relative error = 5.2612044322220379788623267280637e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 0.17050456341595495566878723384357
y[1] (numeric) = 0.17050456341595495566878723384266
absolute error = 9.1e-31
relative error = 5.3371005547810856847049527489208e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 0.16994646476477778833568952416771
y[1] (numeric) = 0.16994646476477778833568952416681
absolute error = 9.0e-31
relative error = 5.2957853594994538118868025351345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 0.16938919616706668509917291450807
y[1] (numeric) = 0.16938919616706668509917291450716
absolute error = 9.1e-31
relative error = 5.3722434523065868668353670436049e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 0.16883275818009019723129238009094
y[1] (numeric) = 0.16883275818009019723129238009003
absolute error = 9.1e-31
relative error = 5.3899492599020562983255908645247e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 0.16827715136028626533870508641724
y[1] (numeric) = 0.16827715136028626533870508641633
absolute error = 9.1e-31
relative error = 5.4077454523321682994079015118358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 0.1677223762632616629247761524322
y[1] (numeric) = 0.16772237626326166292477615243129
absolute error = 9.1e-31
relative error = 5.4256326452925930847850604381228e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 0.16716843344379144078285144772313
y[1] (numeric) = 0.16716843344379144078285144772222
absolute error = 9.1e-31
relative error = 5.4436114597315859700837079495724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=640.8MB, alloc=4.5MB, time=28.51
x[1] = 2.556
y[1] (analytic) = 0.16661532345581837222125303042624
y[1] (numeric) = 0.16661532345581837222125303042533
absolute error = 9.1e-31
relative error = 5.4616825219038513239056550627701e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 0.16606304685245239912055200080085
y[1] (numeric) = 0.16606304685245239912055200079993
absolute error = 9.2e-31
relative error = 5.5400645564297229474445863874015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 0.16551160418597007882367271315187
y[1] (numeric) = 0.16551160418597007882367271315095
absolute error = 9.2e-31
relative error = 5.5585226457371599481876241632377e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 0.16496099600781403185938145595039
y[1] (numeric) = 0.16496099600781403185938145594947
absolute error = 9.2e-31
relative error = 5.5770759286420685227397721165365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 0.16441122286859239049971187661756
y[1] (numeric) = 0.16441122286859239049971187661664
absolute error = 9.2e-31
relative error = 5.5957250602978657581946103306332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 0.16386228531807824815187859350042
y[1] (numeric) = 0.1638622853180782481518785934995
absolute error = 9.2e-31
relative error = 5.6144707015049802031336681306419e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 0.16331418390520910958522960308023
y[1] (numeric) = 0.16331418390520910958522960307931
absolute error = 9.2e-31
relative error = 5.6333135187693605622749281628987e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 0.16276691917808634199378725541499
y[1] (numeric) = 0.16276691917808634199378725541408
absolute error = 9.1e-31
relative error = 5.5908166388795005453408446276004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 0.16222049168397462689492673522954
y[1] (numeric) = 0.16222049168397462689492673522862
absolute error = 9.2e-31
relative error = 5.6712933763773358871207114388524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 0.16167490196930141286474014992891
y[1] (numeric) = 0.16167490196930141286474014992799
absolute error = 9.2e-31
relative error = 5.6904317787969849259512830651158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 0.16113015057965636911063348912548
y[1] (numeric) = 0.16113015057965636911063348912456
absolute error = 9.2e-31
relative error = 5.7096700815480738503019384647324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 0.16058623805979083988170288303721
y[1] (numeric) = 0.16058623805979083988170288303629
absolute error = 9.2e-31
relative error = 5.7290089805669259240140183633944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 0.16004316495361729971743574933535
y[1] (numeric) = 0.16004316495361729971743574933443
absolute error = 9.2e-31
relative error = 5.7484491778616637286966327156509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 0.15950093180420880953528157969508
y[1] (numeric) = 0.15950093180420880953528157969416
absolute error = 9.2e-31
relative error = 5.7679913815758888430130251217566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 0.15895953915379847355763627843287
y[1] (numeric) = 0.15895953915379847355763627843195
absolute error = 9.2e-31
relative error = 5.7876363060531420553646052307839e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=644.7MB, alloc=4.5MB, time=28.68
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 0.15841898754377889707878312620115
y[1] (numeric) = 0.15841898754377889707878312620023
absolute error = 9.2e-31
relative error = 5.8073846719021550630216774988090e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 0.15787927751470164507233260175392
y[1] (numeric) = 0.15787927751470164507233260175299
absolute error = 9.3e-31
relative error = 5.8905767409114146185764161755087e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 0.15734040960627670163970245429852
y[1] (numeric) = 0.15734040960627670163970245429759
absolute error = 9.3e-31
relative error = 5.9107511053721063838201537619128e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 0.15680238435737193030017857790844
y[1] (numeric) = 0.1568023843573719303001785779075
absolute error = 9.4e-31
relative error = 5.9948067999886042683600775773505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 0.15626520230601253512309639789115
y[1] (numeric) = 0.15626520230601253512309639789021
absolute error = 9.4e-31
relative error = 6.0154147316765231464830312424119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 0.15572886398938052270268163688491
y[1] (numeric) = 0.15572886398938052270268163688397
absolute error = 9.4e-31
relative error = 6.0361321332447436857473410731643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 0.15519336994381416497608848579874
y[1] (numeric) = 0.1551933699438141649760884857978
absolute error = 9.4e-31
relative error = 6.0569597808225656997574311357427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 0.15465872070480746288517236151276
y[1] (numeric) = 0.15465872070480746288517236151181
absolute error = 9.5e-31
relative error = 6.1425569516589819136842373018845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 0.15412491680700961088253358952131
y[1] (numeric) = 0.15412491680700961088253358952037
absolute error = 9.4e-31
relative error = 6.0989489530562960929795599701221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 0.15359195878422446228236750543077
y[1] (numeric) = 0.15359195878422446228236750542982
absolute error = 9.5e-31
relative error = 6.1852196398811417835813565223939e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 0.15305984716940999545665562441708
y[1] (numeric) = 0.15305984716940999545665562441613
absolute error = 9.5e-31
relative error = 6.2067225178169632330542320535303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 0.15252858249467778087723168240768
y[1] (numeric) = 0.15252858249467778087723168240673
absolute error = 9.5e-31
relative error = 6.2283408424984779146889687593714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 0.15199816529129244900425550687715
y[1] (numeric) = 0.1519981652912924490042555068762
absolute error = 9.5e-31
relative error = 6.2500754412357558281120292435132e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 0.15146859608967115902162682873843
y[1] (numeric) = 0.15146859608967115902162682873748
absolute error = 9.5e-31
relative error = 6.2719271487641505785866748620379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=648.5MB, alloc=4.5MB, time=28.85
x[1] = 2.585
y[1] (analytic) = 0.15093987541938306841987029987158
y[1] (numeric) = 0.15093987541938306841987029987063
absolute error = 9.5e-31
relative error = 6.2938968073244147355114858619348e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 0.15041200380914880342702213336074
y[1] (numeric) = 0.15041200380914880342702213335979
absolute error = 9.5e-31
relative error = 6.3159852667438254841372759259743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 0.14988498178683993028804793550866
y[1] (numeric) = 0.14988498178683993028804793550771
absolute error = 9.5e-31
relative error = 6.3381933845183351570990729351760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 0.14935880987947842739332045016681
y[1] (numeric) = 0.14935880987947842739332045016586
absolute error = 9.5e-31
relative error = 6.3605220258957614697143109257601e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 0.14883348861323615825668508685938
y[1] (numeric) = 0.14883348861323615825668508685843
absolute error = 9.5e-31
relative error = 6.3829720639600325246520168254659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 0.14830901851343434534364025459169
y[1] (numeric) = 0.14830901851343434534364025459073
absolute error = 9.6e-31
relative error = 6.4729711626608861281176173345635e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 0.14778540010454304475015867311884
y[1] (numeric) = 0.14778540010454304475015867311788
absolute error = 9.6e-31
relative error = 6.4959055449381214647910423230773e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 0.1472626339101806217326749828096
y[1] (numeric) = 0.14726263391018062173267498280864
absolute error = 9.6e-31
relative error = 6.5189652969641260791219149510450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 0.14674072045311322708976412307403
y[1] (numeric) = 0.14674072045311322708976412307307
absolute error = 9.6e-31
relative error = 6.5421513335607505342803582222820e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 0.14621966025525427439603409763301
y[1] (numeric) = 0.14621966025525427439603409763205
absolute error = 9.6e-31
relative error = 6.5654645779106387136487366925690e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 0.14569945383766391808875589269325
y[1] (numeric) = 0.14569945383766391808875589269229
absolute error = 9.6e-31
relative error = 6.5889059616490888009487743469379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 0.14518010172054853240775246135441
y[1] (numeric) = 0.14518010172054853240775246135344
absolute error = 9.7e-31
relative error = 6.6813563877170636514249803582760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 0.14466160442326019118906783431585
y[1] (numeric) = 0.14466160442326019118906783431487
absolute error = 9.8e-31
relative error = 6.7744306024192377130213588727369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 0.14414396246429614851293656317067
y[1] (numeric) = 0.14414396246429614851293656316969
absolute error = 9.8e-31
relative error = 6.7987585691821248930247667773297e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 0.14362717636129832020657284827422
y[1] (numeric) = 0.14362717636129832020657284827325
absolute error = 9.7e-31
relative error = 6.7535965307842362511863178908725e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=652.3MB, alloc=4.5MB, time=29.02
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 0.1431112466310527662022978483548
y[1] (numeric) = 0.14311124663105276620229784835383
absolute error = 9.7e-31
relative error = 6.7779438921435968609959140879075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 0.14259617378948917375152281369601
y[1] (numeric) = 0.14259617378948917375152281369504
absolute error = 9.7e-31
relative error = 6.8024265604207896610800171321504e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 0.14208195835168034149510482886472
y[1] (numeric) = 0.14208195835168034149510482886375
absolute error = 9.7e-31
relative error = 6.8270455394418360513194992312033e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 0.14156860083184166439059109458574
y[1] (numeric) = 0.14156860083184166439059109458478
absolute error = 9.6e-31
relative error = 6.7811647099649545249159227376566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 0.14105610174333061949686682147615
y[1] (numeric) = 0.14105610174333061949686682147519
absolute error = 9.6e-31
relative error = 6.8058027134965147860082879217329e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 0.14054446159864625261672095094836
y[1] (numeric) = 0.14054446159864625261672095094739
absolute error = 9.7e-31
relative error = 6.9017305197698604982327926877766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 0.14003368090942866579784306067359
y[1] (numeric) = 0.14003368090942866579784306067262
absolute error = 9.7e-31
relative error = 6.9269049681510480671931336598238e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 0.13952376018645850569276395356606
y[1] (numeric) = 0.13952376018645850569276395356509
absolute error = 9.7e-31
relative error = 6.9522208884257368200091316366996e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 0.13901469993965645277825157030463
y[1] (numeric) = 0.13901469993965645277825157030366
absolute error = 9.7e-31
relative error = 6.9776793419764810690579938329286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 0.13850650067808271143467300595349
y[1] (numeric) = 0.13850650067808271143467300595252
absolute error = 9.7e-31
relative error = 7.0032814001595301248664330027753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 0.13799916290993650088583255127735
y[1] (numeric) = 0.13799916290993650088583255127637
absolute error = 9.8e-31
relative error = 7.1014923520919126890783887605365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 0.13749268714255554699979481887067
y[1] (numeric) = 0.13749268714255554699979481886968
absolute error = 9.9e-31
relative error = 7.2003829481748761678861891682620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 0.13698707388241557495120115323545
y[1] (numeric) = 0.13698707388241557495120115323447
absolute error = 9.8e-31
relative error = 7.1539596563774640008549030584452e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.613
y[1] (analytic) = 0.13648232363512980274558666244897
y[1] (numeric) = 0.13648232363512980274558666244798
absolute error = 9.9e-31
relative error = 7.2536865846939568158216284598103e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 0.135978436905448435606204347062
y[1] (numeric) = 0.13597843690544843560620434706102
absolute error = 9.8e-31
relative error = 7.2070250423707656853080117086823e-28 %
Correct digits = 29
h = 0.001
memory used=656.1MB, alloc=4.5MB, time=29.19
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 0.13547541419725816122386193936162
y[1] (numeric) = 0.13547541419725816122386193936064
absolute error = 9.8e-31
relative error = 7.2337848590968461628435613973132e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 0.1349732560135816458702762031193
y[1] (numeric) = 0.13497325601358164587027620311832
absolute error = 9.8e-31
relative error = 7.2606976296206989036653143918742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 0.13447196285657703137544858042832
y[1] (numeric) = 0.13447196285657703137544858042734
absolute error = 9.8e-31
relative error = 7.2877645211829979924123523088511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 0.13397153522753743296956520821273
y[1] (numeric) = 0.13397153522753743296956520821175
absolute error = 9.8e-31
relative error = 7.3149867121815593238050773922690e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 0.13347197362689043798992346246609
y[1] (numeric) = 0.13347197362689043798992346246511
absolute error = 9.8e-31
relative error = 7.3423653922995604728138118438801e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 0.13297327855419760545338632325165
y[1] (numeric) = 0.13297327855419760545338632325067
absolute error = 9.8e-31
relative error = 7.3699017626354829781719315259092e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 0.13247545050815396649486498796791
y[1] (numeric) = 0.13247545050815396649486498796693
absolute error = 9.8e-31
relative error = 7.3975970358348035331066148157355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 0.13197848998658752567232929435528
y[1] (numeric) = 0.1319784899865875256723292943543
absolute error = 9.8e-31
relative error = 7.4254524362234610365081996986844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 0.13148239748645876313884464819191
y[1] (numeric) = 0.13148239748645876313884464819094
absolute error = 9.7e-31
relative error = 7.3774133917804419573407797767078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 0.13098717350386013768213328360029
y[1] (numeric) = 0.13098717350386013768213328359931
absolute error = 9.8e-31
relative error = 7.4816485750883066914244304981867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 0.13049281853401559063215681636179
y[1] (numeric) = 0.13049281853401559063215681636081
absolute error = 9.8e-31
relative error = 7.5099918218453009545292691973185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 0.12999933307128005063721618261553
y[1] (numeric) = 0.12999933307128005063721618261454
absolute error = 9.9e-31
relative error = 7.6154236841905351481075924910811e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 0.12950671760913893930906418680006
y[1] (numeric) = 0.12950671760913893930906418679907
absolute error = 9.9e-31
relative error = 7.6443911040035376021742480942090e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 0.12901497264020767773752501368436
y[1] (numeric) = 0.12901497264020767773752501368337
absolute error = 9.9e-31
relative error = 7.6735279614473619677863436039933e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=659.9MB, alloc=4.5MB, time=29.36
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 0.12852409865623119387511418982737
y[1] (numeric) = 0.12852409865623119387511418982638
absolute error = 9.9e-31
relative error = 7.7028355798704692033543350863372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 0.12803409614808343079215160980507
y[1] (numeric) = 0.12803409614808343079215160980408
absolute error = 9.9e-31
relative error = 7.7323152955676136696096792996848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 0.12754496560576685580285937205118
y[1] (numeric) = 0.12754496560576685580285937205018
absolute error = 1.00e-30
relative error = 7.8403721797294185337782569382439e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 0.1270567075184119704629352981726
y[1] (numeric) = 0.1270567075184119704629352981716
absolute error = 1.00e-30
relative error = 7.8705014440507877939749641622929e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 0.12656932237427682143909213812542
y[1] (numeric) = 0.12656932237427682143909213812441
absolute error = 1.01e-30
relative error = 7.9798167601256451966597336451533e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 0.12608281066074651225105159167129
y[1] (numeric) = 0.12608281066074651225105159167028
absolute error = 1.01e-30
relative error = 8.0106082241268143920540571697023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 0.12559717286433271588648140407975
y[1] (numeric) = 0.12559717286433271588648140407873
absolute error = 1.02e-30
relative error = 8.1212019087545975791848397252354e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 0.12511240947067318828936292109846
y[1] (numeric) = 0.12511240947067318828936292109744
absolute error = 1.02e-30
relative error = 8.1526685027922172190331675830317e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 0.12462852096453128272227561478357
y[1] (numeric) = 0.12462852096453128272227561478255
absolute error = 1.02e-30
relative error = 8.1843224336288755164487572231862e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 0.12414550782979546500308421786497
y[1] (numeric) = 0.12414550782979546500308421786395
absolute error = 1.02e-30
relative error = 8.2161651905957690851222648075050e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 0.12366337054947882961651322991903
y[1] (numeric) = 0.12366337054947882961651322991802
absolute error = 1.01e-30
relative error = 8.1673335888567738248386992794836e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 0.12318210960571861670109268373401
y[1] (numeric) = 0.123182109605718616701092683733
absolute error = 1.01e-30
relative error = 8.1992425948281671120276473241062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 0.12270172547977572991195818488197
y[1] (numeric) = 0.12270172547977572991195818488095
absolute error = 1.02e-30
relative error = 8.3128415351267505395064354223343e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 0.12222221865203425515998736165716
y[1] (numeric) = 0.12222221865203425515998736165614
absolute error = 1.02e-30
relative error = 8.3454547892305276486859663091210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 0.12174358960200098022775398620424
y[1] (numeric) = 0.12174358960200098022775398620321
absolute error = 1.03e-30
relative error = 8.4604043906314299943686192767205e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=663.7MB, alloc=4.5MB, time=29.53
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 0.12126583880830491526278015084211
y[1] (numeric) = 0.12126583880830491526278015084108
absolute error = 1.03e-30
relative error = 8.4937358296610425430894341889209e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 0.12078896674869681414856600629138
y[1] (numeric) = 0.12078896674869681414856600629035
absolute error = 1.03e-30
relative error = 8.5272689031518072505240674688497e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 0.12031297390004869675387569073568
y[1] (numeric) = 0.12031297390004869675387569073466
absolute error = 1.02e-30
relative error = 8.4778886842858362288504268206175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 0.11983786073835337206075720039123
y[1] (numeric) = 0.1198378607383533720607572003902
absolute error = 1.03e-30
relative error = 8.5949464856422859991346946680326e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 0.11936362773872396217177307352487
y[1] (numeric) = 0.11936362773872396217177307352384
absolute error = 1.03e-30
relative error = 8.6290943021150091827197022662916e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 0.11889027537539342719691788065043
y[1] (numeric) = 0.11889027537539342719691788064941
absolute error = 1.02e-30
relative error = 8.5793391997736774913851977339236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 0.11841780412171409102069763394619
y[1] (numeric) = 0.11841780412171409102069763394517
absolute error = 1.02e-30
relative error = 8.6135696195785492130009484763352e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 0.1179462144501571679498453487745
y[1] (numeric) = 0.11794621445015716794984534877348
absolute error = 1.02e-30
relative error = 8.6480096436756882285344147126700e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 0.11747550683231229024214610954868
y[1] (numeric) = 0.11747550683231229024214610954766
absolute error = 1.02e-30
relative error = 8.6826609861405027634379144950236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.653
y[1] (analytic) = 0.11700568173888703651684411108262
y[1] (numeric) = 0.1170056817388870365168441110816
absolute error = 1.02e-30
relative error = 8.7175253786073302478402761499561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 0.11653673963970646104710326497687
y[1] (numeric) = 0.11653673963970646104710326497584
absolute error = 1.03e-30
relative error = 8.8384144192159795256983908448245e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 0.11606868100371262393499207854123
y[1] (numeric) = 0.1160686810037126239349920785402
absolute error = 1.03e-30
relative error = 8.8740562147600692257079802792004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 0.11560150629896412216946263122998
y[1] (numeric) = 0.11560150629896412216946263122895
absolute error = 1.03e-30
relative error = 8.9099185034514518869173251372949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 0.11513521599263562156779259057158
y[1] (numeric) = 0.11513521599263562156779259057055
absolute error = 1.03e-30
relative error = 8.9460031070413916827667748296134e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=667.5MB, alloc=4.5MB, time=29.71
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 0.11466981055101738960095832611185
y[1] (numeric) = 0.11466981055101738960095832611082
absolute error = 1.03e-30
relative error = 8.9823118661362564648872038838787e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 0.11420529043951482910340629595859
y[1] (numeric) = 0.11420529043951482910340629595756
absolute error = 1.03e-30
relative error = 9.0188466404321827834824391489685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 0.11374165612264801286768899611741
y[1] (numeric) = 0.11374165612264801286768899611638
absolute error = 1.03e-30
relative error = 9.0556093089531553237694125703201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 0.11327890806405121912443087794401
y[1] (numeric) = 0.11327890806405121912443087794298
absolute error = 1.03e-30
relative error = 9.0926017702925576542440122617101e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 0.11281704672647246790808875370827
y[1] (numeric) = 0.11281704672647246790808875370724
absolute error = 1.03e-30
relative error = 9.1298259428582522513527981722536e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 0.11235607257177305830897032447119
y[1] (numeric) = 0.11235607257177305830897032447016
absolute error = 1.03e-30
relative error = 9.1672837651212488563186078738559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 0.11189598606092710661197357821748
y[1] (numeric) = 0.11189598606092710661197357821644
absolute error = 1.04e-30
relative error = 9.2943459065075166866634190027022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 0.11143678765402108532250891946595
y[1] (numeric) = 0.11143678765402108532250891946492
absolute error = 1.03e-30
relative error = 9.2429082144565343403592961129714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 0.11097847781025336308006500439728
y[1] (numeric) = 0.11097847781025336308006500439625
absolute error = 1.03e-30
relative error = 9.2810788210760422690966632756487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 0.11052105698793374545987836789474
y[1] (numeric) = 0.1105210569879337454598783678937
absolute error = 1.04e-30
relative error = 9.4099715325156826153647143243190e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 0.11006452564448301666316604079019
y[1] (numeric) = 0.11006452564448301666316604078915
absolute error = 1.04e-30
relative error = 9.4490027001004931914332336859327e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.669
y[1] (analytic) = 0.10960888423643248209637946704451
y[1] (numeric) = 0.10960888423643248209637946704346
absolute error = 1.05e-30
relative error = 9.5795154499984817369023068704633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 0.10915413321942351183993714157026
y[1] (numeric) = 0.10915413321942351183993714156921
absolute error = 1.05e-30
relative error = 9.6194250188334323583204567607891e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 0.10870027304820708500689249992617
y[1] (numeric) = 0.10870027304820708500689249992512
absolute error = 1.05e-30
relative error = 9.6595893511172631095325449037464e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 0.10824730417664333499199270117733
y[1] (numeric) = 0.10824730417664333499199270117627
absolute error = 1.06e-30
relative error = 9.7923916725929661712901502311060e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=671.4MB, alloc=4.5MB, time=29.88
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 0.10779522705770109561158305482452
y[1] (numeric) = 0.10779522705770109561158305482347
absolute error = 1.05e-30
relative error = 9.7406910181463921054597968074772e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 0.10734404214345744813481095186055
y[1] (numeric) = 0.1073440421434574481348109518595
absolute error = 1.05e-30
relative error = 9.7816327672545805999909028645582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 0.10689374988509726920658226871162
y[1] (numeric) = 0.10689374988509726920658226871057
absolute error = 1.05e-30
relative error = 9.8228381091380078150650432983933e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 0.10644435073291277966272232106999
y[1] (numeric) = 0.10644435073291277966272232106894
absolute error = 1.05e-30
relative error = 9.8643093106428067218589646798628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 0.1059958451363030942377925524191
y[1] (numeric) = 0.10599584513630309423779255241804
absolute error = 1.06e-30
relative error = 1.0000391983637807963504141735139e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 0.10554823354377377216601324939712
y[1] (numeric) = 0.10554823354377377216601324939605
absolute error = 1.07e-30
relative error = 1.0137545310564021909970994214628e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 0.10510151640293636867574168303869
y[1] (numeric) = 0.10510151640293636867574168303762
absolute error = 1.07e-30
relative error = 1.0180633321196361989087599749168e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 0.10465569416050798737795418137934
y[1] (numeric) = 0.10465569416050798737795418137827
absolute error = 1.07e-30
relative error = 1.0224001747663782694267930381107e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 0.10421076726231083354917974490324
y[1] (numeric) = 0.10421076726231083354917974490217
absolute error = 1.07e-30
relative error = 1.0267653027701862857508430080808e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 0.10376673615327176830933192186336
y[1] (numeric) = 0.10376673615327176830933192186229
absolute error = 1.07e-30
relative error = 1.0311589625595667035385889212081e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 0.10332360127742186369488476560515
y[1] (numeric) = 0.10332360127742186369488476560407
absolute error = 1.08e-30
relative error = 1.0452597341242694059223259413082e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 0.10288136307789595862783780068056
y[1] (numeric) = 0.10288136307789595862783780067948
absolute error = 1.08e-30
relative error = 1.0497528101200262921617199163942e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 0.10244002199693221578091402875056
y[1] (numeric) = 0.10244002199693221578091402874948
absolute error = 1.08e-30
relative error = 1.0542754471805393557942643165096e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 0.10199957847587167933943410904112
y[1] (numeric) = 0.10199957847587167933943410904003
absolute error = 1.09e-30
relative error = 1.0686318671972187841916793744120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=675.2MB, alloc=4.5MB, time=30.05
x[1] = 2.687
y[1] (analytic) = 0.10156003295515783366030895144164
y[1] (numeric) = 0.10156003295515783366030895144055
absolute error = 1.09e-30
relative error = 1.0732568396086200732815915644308e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 0.10112138587433616282859206321658
y[1] (numeric) = 0.10112138587433616282859206321549
absolute error = 1.09e-30
relative error = 1.0779124421361729912763925359894e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 0.10068363767205371111203209274101
y[1] (numeric) = 0.10068363767205371111203209273992
absolute error = 1.09e-30
relative error = 1.0825989457694636204854061626670e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 0.10024678878605864431406511567113
y[1] (numeric) = 0.10024678878605864431406511567004
absolute error = 1.09e-30
relative error = 1.0873166245017782335727984090997e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 0.09981083965319981202568531052079
y[1] (numeric) = 0.099810839653199812025685310519698
absolute error = 1.092e-30
relative error = 1.0940695457469702100695911713466e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 0.09937579070942631077663177173689
y[1] (numeric) = 0.099375790709426310776631771735803
absolute error = 1.087e-30
relative error = 1.0938277745918779337127370656318e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 0.09894164238978704808632830905048
y[1] (numeric) = 0.09894164238978704808632830904939
absolute error = 1.090e-30
relative error = 1.1016594971264717500726710432747e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 0.09850839512843030741501218212732
y[1] (numeric) = 0.098508395128430307415012182126231
absolute error = 1.089e-30
relative error = 1.1054895357702421106033521276228e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 0.09807604935860331401548681935308
y[1] (numeric) = 0.098076049358603314015486819351989
absolute error = 1.091e-30
relative error = 1.1124020666971294119396346067799e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 0.09764460551265180168593266896412
y[1] (numeric) = 0.097644605512651801685932668963028
absolute error = 1.092e-30
relative error = 1.1183413505198806606479080502066e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 0.09721406402201958042420942967701
y[1] (numeric) = 0.09721406402201958042420942967591
absolute error = 1.100e-30
relative error = 1.1315235208671486754260289222801e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 0.09678442531724810498408200647843
y[1] (numeric) = 0.096784425317248104984082006477334
absolute error = 1.096e-30
relative error = 1.1324136051926116179793552178076e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 0.0963556898279760443338016353137
y[1] (numeric) = 0.096355689827976044333801635312594
absolute error = 1.106e-30
relative error = 1.1478305038078637981768808384597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 0.09592785798293885201747271805667
y[1] (numeric) = 0.095927857982938852017472718055567
absolute error = 1.103e-30
relative error = 1.1498224011174865401361331410037e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 0.09550093020996833741963500635869
y[1] (numeric) = 0.095500930209968337419635006357582
absolute error = 1.108e-30
relative error = 1.1601981232684867988189756425452e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=679.0MB, alloc=4.5MB, time=30.22
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 0.09507490693599223793348986975837
y[1] (numeric) = 0.09507490693599223793348986975726
absolute error = 1.110e-30
relative error = 1.1675004854301786830456742293210e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 0.09464978858703379203319847979052
y[1] (numeric) = 0.094649788587033792033198479789409
absolute error = 1.111e-30
relative error = 1.1738008257444723507623996992072e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 0.09422557558821131325067883776032
y[1] (numeric) = 0.094225575588211313250678837759208
absolute error = 1.112e-30
relative error = 1.1801466778613383127325714015265e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 0.09380226836373776505732766935026
y[1] (numeric) = 0.093802268363737765057327669349155
absolute error = 1.105e-30
relative error = 1.1780098917385805081342404229902e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 0.09337986733692033665109230430256
y[1] (numeric) = 0.093379867336920336651092304301449
absolute error = 1.111e-30
relative error = 1.1897639519998923189391804858264e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 0.0929583729301600196493167540697
y[1] (numeric) = 0.092958372930160019649316754068586
absolute error = 1.114e-30
relative error = 1.1983858633551519361172595883725e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 0.09253778556495118568778529455192
y[1] (numeric) = 0.092537785564951185687785294550808
absolute error = 1.112e-30
relative error = 1.2016712883403723229936628781179e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 0.09211810566188116492638595484274
y[1] (numeric) = 0.092118105661881164926385954841627
absolute error = 1.113e-30
relative error = 1.2082315327730016329299523613018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 0.09169933364062982546181540628392
y[1] (numeric) = 0.091699333640629825461815406282807
absolute error = 1.113e-30
relative error = 1.2137492780065915187870866031655e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 0.09128146991996915364774583908999
y[1] (numeric) = 0.091281469919969153647745839088869
absolute error = 1.121e-30
relative error = 1.2280696191492473883254148074463e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 0.09086451491776283532287350634038
y[1] (numeric) = 0.090864514917762835322873506339265
absolute error = 1.115e-30
relative error = 1.2271016920182027485876251747002e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 0.09044846905096583794726770725591
y[1] (numeric) = 0.090448469050965837947267707254786
absolute error = 1.124e-30
relative error = 1.2426965451086289726403678694334e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 0.09003333273562399364743807337551
y[1] (numeric) = 0.090033332735623993647438073374393
absolute error = 1.117e-30
relative error = 1.2406516187510076988956151260769e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 0.08961910638687358317053711253156
y[1] (numeric) = 0.089619106386873583170537112530438
absolute error = 1.122e-30
relative error = 1.2519651726457497540069042578142e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=682.8MB, alloc=4.5MB, time=30.39
x[1] = 2.716
y[1] (analytic) = 0.08920579041894092074811405638619
y[1] (numeric) = 0.089205790418940920748114056385069
absolute error = 1.121e-30
relative error = 1.2566448822833140759453282130296e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 0.08879338524514193986983514774049
y[1] (numeric) = 0.088793385245141939869835147739364
absolute error = 1.126e-30
relative error = 1.2681124803287142009404285772678e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 0.08838189127788177996758459386153
y[1] (numeric) = 0.088381891277881779967584593860399
absolute error = 1.131e-30
relative error = 1.2796739056465983209258597670472e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 0.08797130892865437401035950169198
y[1] (numeric) = 0.087971308928654374010359501690846
absolute error = 1.134e-30
relative error = 1.2890566410915694456107429408050e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 0.08756163860804203701037120001294
y[1] (numeric) = 0.087561638608042037010371200011807
absolute error = 1.133e-30
relative error = 1.2939456341968689622076184575153e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 0.08715288072571505544076444242439
y[1] (numeric) = 0.087152880725715055440764442423258
absolute error = 1.132e-30
relative error = 1.2988669916288786917869997555184e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 0.08674503569043127756536507338984
y[1] (numeric) = 0.086745035690431277565365073388702
absolute error = 1.138e-30
relative error = 1.3118906355185593330256005668736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 0.08633810391003570468086582756334
y[1] (numeric) = 0.086338103910035704680865827562207
absolute error = 1.133e-30
relative error = 1.3122826987034437106511741392258e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 0.08593208579146008327185902017912
y[1] (numeric) = 0.085932085791460083271859020177982
absolute error = 1.138e-30
relative error = 1.3243016150704144262217355471298e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 0.08552698174072249807912397343694
y[1] (numeric) = 0.085526981740722498079123973435804
absolute error = 1.136e-30
relative error = 1.3282358115288303190102350510326e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 0.0851227921629269660815761105621
y[1] (numeric) = 0.085122792162926966081576110560963
absolute error = 1.137e-30
relative error = 1.3357174631017225820630596195795e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 0.08471951746226303139228373555694
y[1] (numeric) = 0.084719517462263031392283735555796
absolute error = 1.144e-30
relative error = 1.3503381915620290205828502349022e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 0.08431715804200536106895760259341
y[1] (numeric) = 0.084317158042005361068957602592269
absolute error = 1.141e-30
relative error = 1.3532239777716101176765523830475e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 0.0839157143045133418393174645235
y[1] (numeric) = 0.083915714304513341839317464522357
absolute error = 1.143e-30
relative error = 1.3620809993373608551545314746986e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 0.08351518665123067774173887510721
y[1] (numeric) = 0.08351518665123067774173887510607
absolute error = 1.140e-30
relative error = 1.3650211963972195564337180621601e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=686.6MB, alloc=4.5MB, time=30.56
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 0.08311557548268498868158260427793
y[1] (numeric) = 0.083115575482684988681582604276783
absolute error = 1.147e-30
relative error = 1.3800060859097922145412196677685e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 0.08271688119848740990360811008216
y[1] (numeric) = 0.082716881198487409903608110081016
absolute error = 1.144e-30
relative error = 1.3830308679734404540617629751142e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 0.08231910419733219238087159484695
y[1] (numeric) = 0.082319104197332192380871594845802
absolute error = 1.148e-30
relative error = 1.3945729988121087021214413543670e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 0.08192224487699630412050825664344
y[1] (numeric) = 0.08192224487699630412050825664229
absolute error = 1.150e-30
relative error = 1.4037701258390674430787938745936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 0.08152630363433903238679743023126
y[1] (numeric) = 0.081526303634339032386797430230112
absolute error = 1.148e-30
relative error = 1.4081344901260312277741453671856e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 0.08113128086530158684190839438537
y[1] (numeric) = 0.081131280865301586841908394384214
absolute error = 1.156e-30
relative error = 1.4248511642744207479507661115971e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 0.08073717696490670360472370482644
y[1] (numeric) = 0.080737176964906703604723704825287
absolute error = 1.153e-30
relative error = 1.4280905567222941816054653972815e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 0.08034399232725825022813599389861
y[1] (numeric) = 0.080343992327258250228135993897455
absolute error = 1.155e-30
relative error = 1.4375685929265727510269378108136e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 0.07995172734554083159521325966467
y[1] (numeric) = 0.07995172734554083159521325966351
absolute error = 1.160e-30
relative error = 1.4508754701279096011385235266697e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 0.07956038241201939673462674822072
y[1] (numeric) = 0.079560382412019396734626748219564
absolute error = 1.156e-30
relative error = 1.4529844690959655721398917262985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 0.07916995791803884655573461376962
y[1] (numeric) = 0.079169957918038846555734613768463
absolute error = 1.157e-30
relative error = 1.4614129278656316733959639067277e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 0.07878045425402364250371362133679
y[1] (numeric) = 0.078780454254023642503713621335624
absolute error = 1.166e-30
relative error = 1.4800625498303058771249471644163e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 0.07839187180947741613513023696413
y[1] (numeric) = 0.078391871809477416135130236962971
absolute error = 1.159e-30
relative error = 1.4784696081971591381234573905130e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 0.07800421097298257961434152977852
y[1] (numeric) = 0.078004210972982579614341529777351
absolute error = 1.169e-30
relative error = 1.4986370420500671043334621132215e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=690.4MB, alloc=4.5MB, time=30.73
x[1] = 2.745
y[1] (analytic) = 0.07761747213219993713111538950123
y[1] (numeric) = 0.077617472132199937131115389500066
absolute error = 1.164e-30
relative error = 1.4996623415117762755045910229150e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 0.07723165567386829723985864174609
y[1] (numeric) = 0.077231655673868297239858641744921
absolute error = 1.169e-30
relative error = 1.5136280451327120540395440462681e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 0.07684676198380408612084072184554
y[1] (numeric) = 0.076846761983804086120840721844371
absolute error = 1.169e-30
relative error = 1.5212091828233097565931611573004e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 0.07646279144690096176379964594903
y[1] (numeric) = 0.076462791446900961763799645947863
absolute error = 1.167e-30
relative error = 1.5262325346968463702662598834681e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 0.07607974444712942907431609575542
y[1] (numeric) = 0.076079744447129429074316095754249
absolute error = 1.171e-30
relative error = 1.5391744655685197884548895123185e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 0.07569762136753645590334051047329
y[1] (numeric) = 0.075697621367536455903340510472113
absolute error = 1.177e-30
relative error = 1.5548705213408014394246612007409e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 0.0753164225902450900002571564501
y[1] (numeric) = 0.075316422590245090000257156448922
absolute error = 1.178e-30
relative error = 1.5640679143894620100869567416793e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 0.07493614849645407688986822137419
y[1] (numeric) = 0.074936148496454076889868221373012
absolute error = 1.178e-30
relative error = 1.5720049984364249632231684525571e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 0.07455679946643747867368005603365
y[1] (numeric) = 0.074556799466437478673680056032468
absolute error = 1.182e-30
relative error = 1.5853684820954387063034222630214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 0.07417837587954429375587276231407
y[1] (numeric) = 0.07417837587954429375587276231289
absolute error = 1.180e-30
relative error = 1.5907600914802466190986111439232e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 0.07380087811419807749433340143395
y[1] (numeric) = 0.073800878114198077494333401432774
absolute error = 1.176e-30
relative error = 1.5934769748678056775775807073444e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 0.07342430654789656377713217135286
y[1] (numeric) = 0.073424306547896563777132171351677
absolute error = 1.183e-30
relative error = 1.6111830749512066156724763743273e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 0.07304866155721128752481997684465
y[1] (numeric) = 0.073048661557211287524819976843462
absolute error = 1.188e-30
relative error = 1.6263131653268763849024665367869e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 0.07267394351778720811892488990678
y[1] (numeric) = 0.072673943517787208118924889905592
absolute error = 1.188e-30
relative error = 1.6346986863444843096240888129004e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 0.07230015280434233375702407197781
y[1] (numeric) = 0.072300152804342333757024071976628
absolute error = 1.182e-30
relative error = 1.6348513165645886427554872243801e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=694.2MB, alloc=4.5MB, time=30.90
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 0.0719272897906673467347668028599
y[1] (numeric) = 0.071927289790667346734766802858709
absolute error = 1.191e-30
relative error = 1.6558388387303502952919094835631e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 0.07155535484962522965522333429195
y[1] (numeric) = 0.071555354849625229655223334290761
absolute error = 1.189e-30
relative error = 1.6616506234910068002697367121990e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 0.07118434835315089256593335879362
y[1] (numeric) = 0.071184348353150892565933358792425
absolute error = 1.195e-30
relative error = 1.6787398180166170080178183137310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 0.07081427067225080102402695670036
y[1] (numeric) = 0.070814270672250801024026956699169
absolute error = 1.191e-30
relative error = 1.6818643879173691687955516824521e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 0.07044512217700260508978995623783
y[1] (numeric) = 0.070445122177002605089789956236639
absolute error = 1.191e-30
relative error = 1.6906777406212120058891412858607e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 0.07007690323655476924904471303917
y[1] (numeric) = 0.070076903236554769249044713037977
absolute error = 1.193e-30
relative error = 1.7024154106422984384668568164683e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 0.06970961421912620326471638669367
y[1] (numeric) = 0.069709614219126203264716386692477
absolute error = 1.193e-30
relative error = 1.7113851702720756037286320006084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 0.06934325549200589395795386272975
y[1] (numeric) = 0.069343255492005893957953862728553
absolute error = 1.197e-30
relative error = 1.7261952752391238406673966270214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 0.0689778274215525379191735388806
y[1] (numeric) = 0.068977827421552537919173538879399
absolute error = 1.201e-30
relative error = 1.7411392108078201247681594388633e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 0.06861333037319417514939326455816
y[1] (numeric) = 0.068613330373194175149393264556958
absolute error = 1.202e-30
relative error = 1.7518461696323617252715572083532e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 0.06824976471142782363222279217093
y[1] (numeric) = 0.068249764711427823632222792169723
absolute error = 1.207e-30
relative error = 1.7685042653310399642002448440588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 0.06788713079981911483687616826468
y[1] (numeric) = 0.067887130799819114836876168263471
absolute error = 1.209e-30
relative error = 1.7808971829506475162070747035536e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 0.06752542900100193015257056144337
y[1] (numeric) = 0.067525429001001930152570561442163
absolute error = 1.207e-30
relative error = 1.7874747600375715516144225937536e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.773
y[1] (analytic) = 0.06716465967667803825467509264109
y[1] (numeric) = 0.067164659676678038254675092639883
absolute error = 1.207e-30
relative error = 1.7970760304754635485213230115804e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=698.1MB, alloc=4.5MB, time=31.07
x[1] = 2.774
y[1] (analytic) = 0.06680482318761673340297230156598
y[1] (numeric) = 0.066804823187616733402972301564769
absolute error = 1.211e-30
relative error = 1.8127433652492277588105995142911e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 0.06644591989365447467239395102454
y[1] (numeric) = 0.066445919893654474672393951023327
absolute error = 1.213e-30
relative error = 1.8255447466772755211222355345556e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 0.06608795015369452611659193836047
y[1] (numeric) = 0.066087950153694526116591938359256
absolute error = 1.214e-30
relative error = 1.8369460653216122604598366820782e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 0.06573091432570659786470415040711
y[1] (numeric) = 0.065730914325706597864704150405893
absolute error = 1.217e-30
relative error = 1.8514880136454231883687221946027e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 0.06537481276672648815167416515773
y[1] (numeric) = 0.06537481276672648815167416515651
absolute error = 1.220e-30
relative error = 1.8661621324305156224374499049272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 0.06501964583285572628248276980415
y[1] (numeric) = 0.065019645832855726282482769802929
absolute error = 1.221e-30
relative error = 1.8778939570645958541834626223714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 0.06466541387926121653064833088241
y[1] (numeric) = 0.064665413879261216530648330881188
absolute error = 1.222e-30
relative error = 1.8897273313391820096392991963295e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 0.06431211726017488297135211799543
y[1] (numeric) = 0.064312117260174882971352117994211
absolute error = 1.219e-30
relative error = 1.8954437389590696732552273866521e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 0.06395975632889331524954374795778
y[1] (numeric) = 0.063959756328893315249543747956561
absolute error = 1.219e-30
relative error = 1.9058859351053005317240565242903e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 0.06360833143777741528338098122753
y[1] (numeric) = 0.063608331437777415283380981226312
absolute error = 1.218e-30
relative error = 1.9148435000082734743377456305504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 0.06325784293825204490335716715603
y[1] (numeric) = 0.063257842938252044903357167154802
absolute error = 1.228e-30
relative error = 1.9412612617832845363292969210230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 0.06290829118080567442746869889869
y[1] (numeric) = 0.062908291180805674427468698897462
absolute error = 1.228e-30
relative error = 1.9520479366870522089456985344729e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.786
y[1] (analytic) = 0.0625596765149900321727739027902
y[1] (numeric) = 0.062559676514990032172773902788974
absolute error = 1.226e-30
relative error = 1.9597288034349666463923953678344e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 0.0622119992894197549036938505959
y[1] (numeric) = 0.062211999289419754903693850594667
absolute error = 1.233e-30
relative error = 1.9819327687314709793867630212398e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 0.06186525985177203921740464630944
y[1] (numeric) = 0.061865259851772039217404646308208
absolute error = 1.232e-30
relative error = 1.9914245942744733742590349259834e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=701.9MB, alloc=4.5MB, time=31.24
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 0.06151945854878629386666980207548
y[1] (numeric) = 0.061519458548786293866669802074248
absolute error = 1.232e-30
relative error = 2.0026184057244208343531929917433e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 0.06117459572626379302046038037591
y[1] (numeric) = 0.061174595726263793020460380374677
absolute error = 1.233e-30
relative error = 2.0155425391240339317602258297715e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 0.06083067172906733046270964183068
y[1] (numeric) = 0.060830671729067330462709641829446
absolute error = 1.234e-30
relative error = 2.0285819060096707656006946494230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 0.06048768690112087472954799982974
y[1] (numeric) = 0.060487686901120874729547999828501
absolute error = 1.239e-30
relative error = 2.0483507693481341470405520294153e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 0.06014564158540922518536314473236
y[1] (numeric) = 0.060145641585409225185363144731122
absolute error = 1.238e-30
relative error = 2.0583370089119264094718226792720e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 0.05980453612397766903802926154513
y[1] (numeric) = 0.059804536123977669038029261543896
absolute error = 1.234e-30
relative error = 2.0633886323302614879267184114302e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 0.05946437085793163929364832582075
y[1] (numeric) = 0.059464370857931639293648325819514
absolute error = 1.236e-30
relative error = 2.0785555823889398279691343072192e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 0.05912514612743637365114552300784
y[1] (numeric) = 0.059125146127436373651145523006599
absolute error = 1.241e-30
relative error = 2.0989377300230089438815191706835e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 0.05878686227171657433705989662796
y[1] (numeric) = 0.058786862271716574337059896626719
absolute error = 1.241e-30
relative error = 2.1110158835557848920240103267798e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 0.05844951962905606888087039046083
y[1] (numeric) = 0.058449519629056068880870390459584
absolute error = 1.246e-30
relative error = 2.1317540467528429024158343622119e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 0.05811311853679747183119650938337
y[1] (numeric) = 0.058113118536797471831196509382125
absolute error = 1.245e-30
relative error = 2.1423734112834793876427711102708e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 0.05777765933134184741321188263385
y[1] (numeric) = 0.057777659331341847413211882632598
absolute error = 1.252e-30
relative error = 2.1669275191991809944742691749454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 0.05744314234814837312760807205929
y[1] (numeric) = 0.057443142348148373127608072058037
absolute error = 1.253e-30
relative error = 2.1812873543823274194849650642888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 0.05710956792173400429144502635447
y[1] (numeric) = 0.057109567921734004291445026353222
absolute error = 1.248e-30
relative error = 2.1852730556643778428975160571148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=705.7MB, alloc=4.5MB, time=31.41
x[1] = 2.803
y[1] (analytic) = 0.05677693638567313952122364041399
y[1] (numeric) = 0.05677693638567313952122364041274
absolute error = 1.250e-30
relative error = 2.2015981832993368413315287735361e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 0.05644524807259728715851493669697
y[1] (numeric) = 0.05644524807259728715851493669572
absolute error = 1.250e-30
relative error = 2.2145353996713901880165260703518e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 0.0561145033141947326384794429475
y[1] (numeric) = 0.056114503314194732638479442946244
absolute error = 1.256e-30
relative error = 2.2382805261011408856590413189763e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 0.05578470244121020680160939772361
y[1] (numeric) = 0.055784702441210206801609397722352
absolute error = 1.258e-30
relative error = 2.2550985215449840522789559826672e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 0.05545584578344455514902547196505
y[1] (numeric) = 0.05545584578344455514902547196379
absolute error = 1.260e-30
relative error = 2.2720778706005284637430719512143e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 0.05512793366975440804165875127547
y[1] (numeric) = 0.055127933669754408041658751274212
absolute error = 1.258e-30
relative error = 2.2819647250631375276376090802042e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 0.05480096642805185184364777970964
y[1] (numeric) = 0.054800966428051851843647779708379
absolute error = 1.261e-30
relative error = 2.3010543101563107727842555662940e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 0.05447494438530410101027952164116
y[1] (numeric) = 0.054474944385304101010279521639902
absolute error = 1.258e-30
relative error = 2.3093185577246318815776188264156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 0.0541498678675331711208021537425
y[1] (numeric) = 0.054149867867533171120802153741238
absolute error = 1.262e-30
relative error = 2.3305689370973734706361939947327e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 0.05382573719981555285643665423718
y[1] (numeric) = 0.053825737199815552856436654235909
absolute error = 1.271e-30
relative error = 2.3613239058514100471895094709958e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 0.05350255270628188692391321138544
y[1] (numeric) = 0.053502552706281886923913211384176
absolute error = 1.264e-30
relative error = 2.3625040975878337184773541820171e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 0.05318031471011663992485752763994
y[1] (numeric) = 0.053180314710116639924857527638675
absolute error = 1.265e-30
relative error = 2.3786997254443767213796081401810e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 0.05285902353355778117135115005797
y[1] (numeric) = 0.052859023533557781171351150056702
absolute error = 1.268e-30
relative error = 2.3988335675459549129544787560924e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 0.05253867949789646044798901138315
y[1] (numeric) = 0.05253867949789646044798901138188
absolute error = 1.270e-30
relative error = 2.4172666921536316133469615386245e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 0.05221928292347668672075641971209
y[1] (numeric) = 0.052219282923476686720756419710815
absolute error = 1.275e-30
relative error = 2.4416267873084617334979197358161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=709.5MB, alloc=4.5MB, time=31.58
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 0.05190083412969500779304678784225
y[1] (numeric) = 0.051900834129695007793046787840979
absolute error = 1.271e-30
relative error = 2.4489009113493200748595013320271e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 0.05158333343500019090914044625667
y[1] (numeric) = 0.051583333435000190909140446255393
absolute error = 1.277e-30
relative error = 2.4756058109527548291572046453068e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 0.05126678115689290430546393623996
y[1] (numeric) = 0.051266781156892904305463936238684
absolute error = 1.276e-30
relative error = 2.4889411256287536007925730380287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 0.05095117761192539970994823183996
y[1] (numeric) = 0.050951177611925399709948231838679
absolute error = 1.281e-30
relative error = 2.5141715266266485586705352622530e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 0.05063652311570119578980339129015
y[1] (numeric) = 0.050636523115701195789803391288865
absolute error = 1.285e-30
relative error = 2.5376939823926254116734074993996e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 0.05032281798287476254802619009196
y[1] (numeric) = 0.050322817982874762548026190090674
absolute error = 1.286e-30
relative error = 2.5555007679371921790950943067029e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 0.05001006252715120666895633922295
y[1] (numeric) = 0.050010062527151206668956339221668
absolute error = 1.282e-30
relative error = 2.5634840974333578063015596801970e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 0.04969825706128595781319594288847
y[1] (numeric) = 0.04969825706128595781319594288718
absolute error = 1.290e-30
relative error = 2.5956644684927726315782114212223e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.826
y[1] (analytic) = 0.0493874018970844558622059008711
y[1] (numeric) = 0.049387401897084455862205900869814
absolute error = 1.286e-30
relative error = 2.6039029197766281747479347899216e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 0.04907749734540183911289201085562
y[1] (numeric) = 0.049077497345401839112892010854335
absolute error = 1.285e-30
relative error = 2.6183079201376473828851828909365e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 0.04876854371614263342249257611716
y[1] (numeric) = 0.048768543716142633422492576115865
absolute error = 1.295e-30
relative error = 2.6554001848764421527215006679081e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 0.04846054131826044230407837365917
y[1] (numeric) = 0.048460541318260442304078373657876
absolute error = 1.294e-30
relative error = 2.6702136724015651326525729162589e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 0.04815349045975763797297488727547
y[1] (numeric) = 0.048153490459757637972974887274177
absolute error = 1.293e-30
relative error = 2.6851636042470758348016830114138e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 0.04784739144768505334441575908823
y[1] (numeric) = 0.04784739144768505334441575908693
absolute error = 1.300e-30
relative error = 2.7169715227242475752530939558966e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=713.3MB, alloc=4.5MB, time=31.75
x[1] = 2.832
y[1] (analytic) = 0.04754224458814167498273546188286
y[1] (numeric) = 0.047542244588141674982735461881563
absolute error = 1.297e-30
relative error = 2.7281000534070429041736380155272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 0.04723805018627433700240824302162
y[1] (numeric) = 0.047238050186274337002408243020326
absolute error = 1.294e-30
relative error = 2.7393171286650384175167969960322e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 0.04693480854627741592123943887134
y[1] (numeric) = 0.046934808546277415921239438870041
absolute error = 1.299e-30
relative error = 2.7676686881958716201892780376516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 0.0466325199713925264660143065286
y[1] (numeric) = 0.046632519971392526466014306527296
absolute error = 1.304e-30
relative error = 2.7963318319489486923443399489034e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 0.04633118476390821833090856716821
y[1] (numeric) = 0.046331184763908218330908567166906
absolute error = 1.304e-30
relative error = 2.8145190040894660090606114779194e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 0.04603080322515967388896390257913
y[1] (numeric) = 0.046030803225159673888963902577827
absolute error = 1.303e-30
relative error = 2.8307131501190094434373024867693e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 0.04573137565552840685693069338714
y[1] (numeric) = 0.045731375655528406856930693385835
absolute error = 1.305e-30
relative error = 2.8536206954059564525791468670526e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 0.04543290235444196191377933409643
y[1] (numeric) = 0.045432902354441961913779334095121
absolute error = 1.309e-30
relative error = 2.8811718648038769706617388886595e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 0.04513538362037361527318050641376
y[1] (numeric) = 0.045135383620373615273180506412454
absolute error = 1.306e-30
relative error = 2.8935170042744158214821787215009e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 0.04483881975084207621025383835
y[1] (numeric) = 0.044838819750842076210253838348688
absolute error = 1.312e-30
relative error = 2.9260359824153501433066001956861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 0.04454321104241118954288342232539
y[1] (numeric) = 0.044543211042411189542883422324081
absolute error = 1.309e-30
relative error = 2.9387194352774750122323169637650e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 0.04424855779068963906789771093843
y[1] (numeric) = 0.044248557790689639067897710937113
absolute error = 1.317e-30
relative error = 2.9763681931281173223876667071493e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 0.04395486029033065195241035419351
y[1] (numeric) = 0.043954860290330651952410354192196
absolute error = 1.314e-30
relative error = 2.9894305005652775098012495251603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 0.04366211883503170408061758682212
y[1] (numeric) = 0.043662118835031704080617586820803
absolute error = 1.317e-30
relative error = 3.0163446830787402295566410810952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 0.04337033371753422635634681887539
y[1] (numeric) = 0.043370333717534226356346818874073
absolute error = 1.317e-30
relative error = 3.0366379206981961343823252176230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=717.1MB, alloc=4.5MB, time=31.92
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 0.04307950522962331196165012701515
y[1] (numeric) = 0.043079505229623311961650127013831
absolute error = 1.319e-30
relative error = 3.0617807539093999057529920255210e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 0.04278963366212742457173538788545
y[1] (numeric) = 0.042789633662127424571735387884132
absolute error = 1.318e-30
relative error = 3.0801852860136671274562328413951e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 0.04250071930491810752652683860921
y[1] (numeric) = 0.042500719304918107526526838607884
absolute error = 1.326e-30
relative error = 3.1199471954503076896321973579244e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 0.04221276244690969395914589282507
y[1] (numeric) = 0.04221276244690969395914589282375
absolute error = 1.320e-30
relative error = 3.1270163890840893696838918577117e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 0.04192576337605901788160208375968
y[1] (numeric) = 0.041925763376059017881602083758358
absolute error = 1.322e-30
relative error = 3.1531924371707570089033283659250e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 0.04163972237936512622798304862013
y[1] (numeric) = 0.041639722379365126227983048618804
absolute error = 1.326e-30
relative error = 3.1844592716523709366197819109492e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 0.04135463974286899185543151109279
y[1] (numeric) = 0.041354639742868991855431511091462
absolute error = 1.328e-30
relative error = 3.2112478992855797981902120216560e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 0.04107051575165322750319626094753
y[1] (numeric) = 0.041070515751653227503196260946204
absolute error = 1.326e-30
relative error = 3.2285934951927746472749556315880e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 0.04078735068984180071004317167254
y[1] (numeric) = 0.040787350689841800710043171671212
absolute error = 1.328e-30
relative error = 3.2559113978705706141882653531663e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 0.04050514484059974969031133870494
y[1] (numeric) = 0.040505144840599749690311338703611
absolute error = 1.329e-30
relative error = 3.2810646776601473936534590169295e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 0.04022389848613290016889846217744
y[1] (numeric) = 0.040223898486132900168898462176105
absolute error = 1.335e-30
relative error = 3.3189224571562557280486031135585e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 0.03994361190768758317545863917197
y[1] (numeric) = 0.039943611907687583175458639170637
absolute error = 1.333e-30
relative error = 3.3372044648357141458973446540132e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 0.0396642853855503537980947712591
y[1] (numeric) = 0.039664285385550353798094771257763
absolute error = 1.337e-30
relative error = 3.3707905915962053729392535083003e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 0.03938591919904771089682683360723
y[1] (numeric) = 0.039385919199047710896826833605894
absolute error = 1.336e-30
relative error = 3.3920752064923302908793484351787e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=721.0MB, alloc=4.5MB, time=32.09
x[1] = 2.861
y[1] (analytic) = 0.03910851362654581777711629217013
y[1] (numeric) = 0.039108513626545817777116292168786
absolute error = 1.344e-30
relative error = 3.4365918705939480765357914516802e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 0.03883206894545022382372599540492
y[1] (numeric) = 0.038832068945450223823725995403575
absolute error = 1.345e-30
relative error = 3.4636320868955078107507170139141e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 0.03855658543220558709519390663762
y[1] (numeric) = 0.038556585432205587095193906636273
absolute error = 1.347e-30
relative error = 3.4935666239647776438999656235045e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 0.03828206336229539787919808257922
y[1] (numeric) = 0.038282063362295397879198082577875
absolute error = 1.345e-30
relative error = 3.5133947386041670552269388759830e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 0.03800850301024170320908934260441
y[1] (numeric) = 0.038008503010241703209089342603063
absolute error = 1.347e-30
relative error = 3.5439438370857168205463607882335e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.866
y[1] (analytic) = 0.03773590464960483234186711223722
y[1] (numeric) = 0.037735904649604832341867112235874
absolute error = 1.346e-30
relative error = 3.5668947451988413226835607221241e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 0.03746426855298312319787296284497
y[1] (numeric) = 0.037464268552983123197872962843621
absolute error = 1.349e-30
relative error = 3.6007642804828889831567029508284e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 0.03719359499201264976247540782407
y[1] (numeric) = 0.037193594992012649762475407822724
absolute error = 1.346e-30
relative error = 3.6189026639910834930801273748161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 0.03692388423736695045001855357029
y[1] (numeric) = 0.036923884237366950450018553568941
absolute error = 1.349e-30
relative error = 3.6534617845941915971026819673873e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 0.03665513655875675743030624126206
y[1] (numeric) = 0.036655136558756757430306241260711
absolute error = 1.349e-30
relative error = 3.6802481906938349493277405374082e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 0.03638735222492972691789235295026
y[1] (numeric) = 0.036387352224929726917892352948911
absolute error = 1.349e-30
relative error = 3.7073321292000252336336514337781e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 0.0361205315036701704244469926416
y[1] (numeric) = 0.036120531503670170424446992640244
absolute error = 1.356e-30
relative error = 3.7540975825956996807167500258677e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 0.03585467466179878697446728998704
y[1] (numeric) = 0.035854674661798786974467289985687
absolute error = 1.353e-30
relative error = 3.7735665230886844056217202444057e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 0.03558978196517239628460061084223
y[1] (numeric) = 0.03558978196517239628460061084087
absolute error = 1.360e-30
relative error = 3.8213215279904628762821957083415e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 0.03532585367868367290684699535431
y[1] (numeric) = 0.035325853678683672906846995352947
absolute error = 1.363e-30
relative error = 3.8583639404656807430358909363631e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=724.8MB, alloc=4.5MB, time=32.26
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 0.03506289006626088133590668035073
y[1] (numeric) = 0.035062890066260881335906680349368
absolute error = 1.362e-30
relative error = 3.8844487645659841888584773108067e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 0.03480089139086761208093759866031
y[1] (numeric) = 0.034800891390867612080937598658949
absolute error = 1.361e-30
relative error = 3.9108193658428852638601908629126e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 0.03453985791450251870198678358712
y[1] (numeric) = 0.034539857914502518701986783585754
absolute error = 1.366e-30
relative error = 3.9548512428201013498502495547084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 0.03427978989819905581135864208382
y[1] (numeric) = 0.034279789898199055811358642082459
absolute error = 1.361e-30
relative error = 3.9702693745841841801223567332503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 0.03402068760202521804018209523448
y[1] (numeric) = 0.034020687602025218040182095233108
absolute error = 1.372e-30
relative error = 4.0328403001423351323145616645983e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 0.03376255128508327997043761945772
y[1] (numeric) = 0.033762551285083279970437619456355
absolute error = 1.365e-30
relative error = 4.0429409154369035414582228460632e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 0.03350538120550953703270425638185
y[1] (numeric) = 0.033505381205509537032704256380482
absolute error = 1.368e-30
relative error = 4.0829262368608707754745736834603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 0.03324917762047404736988569362297
y[1] (numeric) = 0.033249177620474047369885693621594
absolute error = 1.376e-30
relative error = 4.1384482218071226841081854062137e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 0.03299394078618037466717355271877
y[1] (numeric) = 0.032993940786180374667173552717393
absolute error = 1.377e-30
relative error = 4.1734935784838444513304042587578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 0.0327396709578653319485050542332
y[1] (numeric) = 0.032739670957865331948505054231822
absolute error = 1.378e-30
relative error = 4.2089610545366560609168039041949e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 0.03248636838979872633977126355293
y[1] (numeric) = 0.032486368389798726339771263551553
absolute error = 1.377e-30
relative error = 4.2387009328885203487461108685087e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 0.03223403333528310479903115414619
y[1] (numeric) = 0.032234033335283104799031154144807
absolute error = 1.383e-30
relative error = 4.2904962764500826596266744900321e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.888
y[1] (analytic) = 0.03198266604665350081398575804864
y[1] (numeric) = 0.031982666046653500813985758047261
absolute error = 1.379e-30
relative error = 4.3117105934459499504825006799843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 0.03173226677527718206696570608115
y[1] (numeric) = 0.031732266775277182066965706079767
absolute error = 1.383e-30
relative error = 4.3583397612095723462998369068438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=728.6MB, alloc=4.5MB, time=32.43
x[1] = 2.89
y[1] (analytic) = 0.03148283577155339906768449279072
y[1] (numeric) = 0.031482835771553399067684492789334
absolute error = 1.386e-30
relative error = 4.4023988501452999108475484077798e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 0.03123437328491313475400883334053
y[1] (numeric) = 0.031234373284913134754008833339146
absolute error = 1.384e-30
relative error = 4.4310157510619922551523266155865e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.892
y[1] (analytic) = 0.03098687956381885506099651155778
y[1] (numeric) = 0.030986879563818855060996511556398
absolute error = 1.382e-30
relative error = 4.4599521457257727559480946160226e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 0.0307403548557642604584511500807
y[1] (numeric) = 0.030740354855764260458451150079316
absolute error = 1.384e-30
relative error = 4.5022251906128533632951096956297e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 0.03049479940727403845724236502928
y[1] (numeric) = 0.030494799407274038457242365027889
absolute error = 1.391e-30
relative error = 4.5614335133753972883505245907555e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 0.03025021346390361708463879885892
y[1] (numeric) = 0.030250213463903617084638798857525
absolute error = 1.395e-30
relative error = 4.6115377058895743284726376674466e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 0.03000659727023891932890055604345
y[1] (numeric) = 0.030006597270238919328900556042061
absolute error = 1.389e-30
relative error = 4.6289820451505678743119913545888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 0.02976395106989611855337659697462
y[1] (numeric) = 0.029763951069896118553376596973231
absolute error = 1.389e-30
relative error = 4.6667191352994246652200272114187e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 0.0295222751055213948803516759602
y[1] (numeric) = 0.029522275105521394880351675958807
absolute error = 1.393e-30
relative error = 4.7184710359245808321580998510153e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 0.02928156961879069254488643945358
y[1] (numeric) = 0.029281569618790692544886439452181
absolute error = 1.399e-30
relative error = 4.7777493427204387651544118421337e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 0.02904183485040947821889333065447
y[1] (numeric) = 0.02904183485040947821889333065307
absolute error = 1.400e-30
relative error = 4.8206320544525118450772640522708e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 0.02880307104011250030568997638469
y[1] (numeric) = 0.028803071040112500305689976383288
absolute error = 1.402e-30
relative error = 4.8675365138929435718334402255676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 0.02856527842666354920527076166556
y[1] (numeric) = 0.028565278426663549205270761664158
absolute error = 1.402e-30
relative error = 4.9080564840262083507619160323535e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 0.0283284572478552185505363267054
y[1] (numeric) = 0.028328457247855218550536326703995
absolute error = 1.405e-30
relative error = 4.9596770756246326611072317405774e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 0.02809260774050866741471975004768
y[1] (numeric) = 0.028092607740508667414719750046276
absolute error = 1.404e-30
relative error = 4.9977560394846350549582455262001e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=732.4MB, alloc=4.5MB, time=32.60
TOP MAIN SOLVE Loop
x[1] = 2.905
y[1] (analytic) = 0.0278577301404733834902472104339
y[1] (numeric) = 0.027857730140473383490247210432492
absolute error = 1.408e-30
relative error = 5.0542524207827436563882032185621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.906
y[1] (analytic) = 0.0276238246826269472392699485007
y[1] (numeric) = 0.027623824682626947239269948499288
absolute error = 1.412e-30
relative error = 5.1115296893989801123363838207123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 0.02739089160087479701610337775969
y[1] (numeric) = 0.027390891600874797016103377758276
absolute error = 1.414e-30
relative error = 5.1623000105437982659369091048396e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 0.02715893112814999516180822240125
y[1] (numeric) = 0.027158931128149995161808222399835
absolute error = 1.415e-30
relative error = 5.2100724926297443473319386696061e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 0.02692794349641299507114758732168
y[1] (numeric) = 0.026927943496412995071147587320268
absolute error = 1.412e-30
relative error = 5.2436235993591156968948622787669e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 0.02669792893665140923215289339725
y[1] (numeric) = 0.026697928936651409232152893395834
absolute error = 1.416e-30
relative error = 5.3037821898465280758812295338467e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 0.02646888767887977823853063841981
y[1] (numeric) = 0.026468887678879778238530638418395
absolute error = 1.415e-30
relative error = 5.3458989934400066329900513324992e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 0.02624081995213934077514097126808
y[1] (numeric) = 0.026240819952139340775140971266662
absolute error = 1.418e-30
relative error = 5.4037945559105687155197192427083e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 0.02601372598449780457677809381672
y[1] (numeric) = 0.026013725984497804576778093815298
absolute error = 1.422e-30
relative error = 5.4663449628377091334265170382438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 0.02578760600304911836048153178382
y[1] (numeric) = 0.025787606003049118360481531782396
absolute error = 1.424e-30
relative error = 5.5220325602602532834313360125862e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 0.02556246023391324473160634218647
y[1] (numeric) = 0.025562460233913244731606342185049
absolute error = 1.421e-30
relative error = 5.5589328530858133015981822226229e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 0.0253382889022359340638793513153
y[1] (numeric) = 0.02533828890223593406387935131388
absolute error = 1.420e-30
relative error = 5.6041669012412851732008400126646e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.917
y[1] (analytic) = 0.02511509223218849935366754315288
y[1] (numeric) = 0.025115092232188499353667543151457
absolute error = 1.423e-30
relative error = 5.6659158837419147614452599990556e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 0.02489287044696759204868374394886
y[1] (numeric) = 0.024892870446967592048683743947435
absolute error = 1.425e-30
relative error = 5.7245306564217109915536825155430e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=736.2MB, alloc=4.5MB, time=32.77
x[1] = 2.919
y[1] (analytic) = 0.02467162376879497885135377422749
y[1] (numeric) = 0.024671623768794978851353774226063
absolute error = 1.427e-30
relative error = 5.7839727671467247535611084432730e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 0.02445135241891731949706826484173
y[1] (numeric) = 0.024451352418917319497068264840306
absolute error = 1.424e-30
relative error = 5.8238087431854750625303157190712e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 0.02423205661760594550754135880367
y[1] (numeric) = 0.024232056617605945507541358802244
absolute error = 1.426e-30
relative error = 5.8847667059507082056930392131347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 0.02401373658415663991949754551404
y[1] (numeric) = 0.02401373658415663991949754551261
absolute error = 1.430e-30
relative error = 5.9549249863241200376418798613139e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 0.02379639253688941798890689868571
y[1] (numeric) = 0.023796392536889417988906898684278
absolute error = 1.432e-30
relative error = 6.0177188528895652522133968200786e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 0.02358002469314830887098801370762
y[1] (numeric) = 0.023580024693148308870988013706187
absolute error = 1.433e-30
relative error = 6.0771776902184052618697638698368e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.925
y[1] (analytic) = 0.02336463326930113827619696442801
y[1] (numeric) = 0.023364633269301138276196964426574
absolute error = 1.436e-30
relative error = 6.1460412558101851596748849598774e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 0.02315021848073931210241962334988
y[1] (numeric) = 0.023150218480739312102419623348439
absolute error = 1.441e-30
relative error = 6.2245632852186414886465904547334e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 0.02293678054187760104358371302834
y[1] (numeric) = 0.022936780541877601043583713026898
absolute error = 1.442e-30
relative error = 6.2868456947007878535851408296217e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 0.02272431966615392617490598003987
y[1] (numeric) = 0.022724319666153926174905980038427
absolute error = 1.443e-30
relative error = 6.3500250885364642153755809967645e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 0.02251283606602914551498890625839
y[1] (numeric) = 0.022512836066029145514988906256942
absolute error = 1.448e-30
relative error = 6.4318862170589280283463407084813e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 0.02230232995298684156498039532367
y[1] (numeric) = 0.02230232995298684156498039532223
absolute error = 1.440e-30
relative error = 6.4567244903806468399282301596790e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 0.02209280153753310982500889512478
y[1] (numeric) = 0.022092801537533109825008895123331
absolute error = 1.449e-30
relative error = 6.5586973998671780118870360028923e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.932
y[1] (analytic) = 0.02188425102919634828810543984558
y[1] (numeric) = 0.021884251029196348288105439844133
absolute error = 1.447e-30
relative error = 6.6120608745966205470373192266593e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 0.02167667863652704791182311763304
y[1] (numeric) = 0.021676678636527047911823117631587
absolute error = 1.453e-30
relative error = 6.7030564246663295003395592263004e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=740.0MB, alloc=4.5MB, time=32.94
TOP MAIN SOLVE Loop
x[1] = 2.934
y[1] (analytic) = 0.02147008456709758406776349225107
y[1] (numeric) = 0.02147008456709758406776349224962
absolute error = 1.450e-30
relative error = 6.7535830865896634495744256621521e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 0.02126446902750200896921852917639
y[1] (numeric) = 0.021264469027502008969218529174942
absolute error = 1.448e-30
relative error = 6.8094811026189080780738381170406e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 0.02105983222335584507713559847698
y[1] (numeric) = 0.021059832223355845077135598475524
absolute error = 1.456e-30
relative error = 6.9136353250965695931438861178535e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 0.02085617435929587948461214849098
y[1] (numeric) = 0.020856174359295879484612148489529
absolute error = 1.451e-30
relative error = 6.9571723701728147517715805461985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 0.02065349563897995928012566579434
y[1] (numeric) = 0.020653495638979959280125665792887
absolute error = 1.453e-30
relative error = 7.0351287036258874067893691319091e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 0.02045179626508678788970355820996
y[1] (numeric) = 0.020451796265086787889703558208499
absolute error = 1.461e-30
relative error = 7.1436268045270408772481151641098e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 0.02025107643931572239823661867168
y[1] (numeric) = 0.020251076439315722398236618670219
absolute error = 1.461e-30
relative error = 7.2144313137033753528919861344125e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 0.02005133636238657185013874861272
y[1] (numeric) = 0.020051336362386571850138748611256
absolute error = 1.464e-30
relative error = 7.3012589961148614839405134121922e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 0.01985257623403939652955464020194
y[1] (numeric) = 0.019852576234039396529554640200473
absolute error = 1.467e-30
relative error = 7.3894691686647161099879445474169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 0.01965479625303430822031613720362
y[1] (numeric) = 0.019654796253034308220316137202158
absolute error = 1.462e-30
relative error = 7.4383879699302219038236055832199e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 0.01945799661715127144584701448775
y[1] (numeric) = 0.019457996617151271445847014486282
absolute error = 1.468e-30
relative error = 7.5444560346260409275058763975293e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.945
y[1] (analytic) = 0.01926217752318990568921493626935
y[1] (numeric) = 0.019262177523189905689214936267882
absolute error = 1.468e-30
relative error = 7.6211528952667050812753517867849e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 0.01906733916696928859352837300861
y[1] (numeric) = 0.019067339166969288593528373007141
absolute error = 1.469e-30
relative error = 7.7042737171465246575951862866609e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 0.01887348174332776014287527655832
y[1] (numeric) = 0.018873481743327760142875276556844
absolute error = 1.476e-30
relative error = 7.8204966103925275571567404109063e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=743.8MB, alloc=4.5MB, time=33.11
x[1] = 2.948
y[1] (analytic) = 0.01868060544612272782399933260369
y[1] (numeric) = 0.018680605446122727823999332602218
absolute error = 1.472e-30
relative error = 7.8798302562807056451312924770942e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 0.01848871046823047276890862870214
y[1] (numeric) = 0.018488710468230472768908628700662
absolute error = 1.478e-30
relative error = 7.9940675286125414769969726351030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 0.01829779700154595687861059529803
y[1] (numeric) = 0.018297797001545956878610595296555
absolute error = 1.475e-30
relative error = 8.0610797019738451785045645936018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 0.01810786523698263092816609596159
y[1] (numeric) = 0.018107865236982630928166095960115
absolute error = 1.475e-30
relative error = 8.1456316396011779122277302814292e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 0.01791891536447224365325456178172
y[1] (numeric) = 0.017918915364472243653254561780237
absolute error = 1.483e-30
relative error = 8.2761705707943557523178544994340e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 0.01773094757296465181844108333175
y[1] (numeric) = 0.017730947572964651818441083330264
absolute error = 1.486e-30
relative error = 8.3808267656590767691920435302148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 0.01754396205042763126733539192525
y[1] (numeric) = 0.017543962050427631267335391923766
absolute error = 1.484e-30
relative error = 8.4587506273352189421293577656789e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.955
y[1] (analytic) = 0.01735795898384668895483167998709
y[1] (numeric) = 0.017357958983846688954831679985609
absolute error = 1.481e-30
relative error = 8.5321091113201622579284371076089e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 0.01717293855922487596161722828431
y[1] (numeric) = 0.017172938559224875961617228282821
absolute error = 1.489e-30
relative error = 8.6706185715673348849662414533011e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 0.01698890096158260149113682549254
y[1] (numeric) = 0.016988900961582601491136825491052
absolute error = 1.488e-30
relative error = 8.7586595705328387707143889187330e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 0.0168058463749574478491989831182
y[1] (numeric) = 0.016805846374957447849198983116706
absolute error = 1.494e-30
relative error = 8.8897635184040695812810860817407e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 0.0166237749824039864064089661546
y[1] (numeric) = 0.016623774982403986406408966153109
absolute error = 1.491e-30
relative error = 8.9690819418465473558661443495076e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 0.01644268696599359454361267702384
y[1] (numeric) = 0.01644268696599359454361267702235
absolute error = 1.490e-30
relative error = 9.0617792765962485472246862708139e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 0.01626258250681427358053444734515
y[1] (numeric) = 0.016262582506814273580534447343655
absolute error = 1.495e-30
relative error = 9.1928818769932258850420060712467e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.962
y[1] (analytic) = 0.01608346178497046768779080887682
y[1] (numeric) = 0.016083461784970467687790808875329
absolute error = 1.491e-30
relative error = 9.2703922820477405150358374570283e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=747.7MB, alloc=4.5MB, time=33.28
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 0.0159053249795828837824613316029
y[1] (numeric) = 0.015905324979582883782461331601404
absolute error = 1.496e-30
relative error = 9.4056550364130473272644905538252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 0.01572817226878831240739663337865
y[1] (numeric) = 0.01572817226878831240739663337715
absolute error = 1.500e-30
relative error = 9.5370267718688903329134042278815e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 0.015552003829739449594442681812
y[1] (numeric) = 0.015552003829739449594442681810504
absolute error = 1.496e-30
relative error = 9.6193391949869602577410925930039e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 0.01537681983860471971175952514179
y[1] (numeric) = 0.015376819838604719711759525140284
absolute error = 1.506e-30
relative error = 9.7939627036473962553860291238308e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 0.01520262047056809929541160477918
y[1] (numeric) = 0.015202620470568099295411604777678
absolute error = 1.502e-30
relative error = 9.8798756629347893993128465220910e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 0.01502940589982894186540581790753
y[1] (numeric) = 0.01502940589982894186540581790603
absolute error = 1.500e-30
relative error = 9.9804344230071818404238567143525e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 0.01485717629960180372635251408776
y[1] (numeric) = 0.014857176299601803726352514086252
absolute error = 1.508e-30
relative error = 1.0149977153063848551084174873811e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 0.01468593184211627075292362519386
y[1] (numeric) = 0.014685931842116270752923625192349
absolute error = 1.511e-30
relative error = 1.0288758086611561052798506953752e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 0.01451567269861678616028114320601
y[1] (numeric) = 0.014515672698616786160281143204503
absolute error = 1.507e-30
relative error = 1.0381881923692063045702173343611e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 0.01434639903936247925964817541838
y[1] (numeric) = 0.01434639903936247925964817541687
absolute error = 1.510e-30
relative error = 1.0525289278912326295749634198950e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 0.01417811103362699519919382147629
y[1] (numeric) = 0.014178111033626995199193821474777
absolute error = 1.513e-30
relative error = 1.0671379257868243585262384213384e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 0.01401080884969832569040213134376
y[1] (numeric) = 0.014010808849698325690402131342247
absolute error = 1.513e-30
relative error = 1.0798805523869360490268550033050e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 0.01384449265487864072009441781831
y[1] (numeric) = 0.013844492654878640720094417816792
absolute error = 1.518e-30
relative error = 1.0964648816257446444126023321967e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 0.01367916261548412124827321155665
y[1] (numeric) = 0.013679162615484121248273211555132
absolute error = 1.518e-30
relative error = 1.1097170511605006163575102049707e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=751.5MB, alloc=4.5MB, time=33.45
x[1] = 2.977
y[1] (analytic) = 0.01351481889684479289195516075347
y[1] (numeric) = 0.013514818896844792891955160751952
absolute error = 1.518e-30
relative error = 1.1232114996038877670338512508159e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 0.01335146166330436059515919162645
y[1] (numeric) = 0.013351461663304360595159191624929
absolute error = 1.521e-30
relative error = 1.1392011139726905922169412890157e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 0.01318909107822004428521525970561
y[1] (numeric) = 0.013189091078220044285215259704091
absolute error = 1.519e-30
relative error = 1.1517093869405587352313649548690e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 0.0130277073039624155155580356046
y[1] (numeric) = 0.013027707303962415515558035603073
absolute error = 1.527e-30
relative error = 1.1721172147731308456807496736852e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 0.01286731050191523509516888246648
y[1] (numeric) = 0.012867310501915235095168882464956
absolute error = 1.524e-30
relative error = 1.1843966925125185941458455383454e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 0.01270790083247529170482849562872
y[1] (numeric) = 0.012707900832475291704828495627189
absolute error = 1.531e-30
relative error = 1.2047623129757978950486518399796e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 0.01254947845505224150034158824103
y[1] (numeric) = 0.012549478455052241500341588239505
absolute error = 1.525e-30
relative error = 1.2151899423247001107515706384189e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 0.01239204352806844870289401959831
y[1] (numeric) = 0.01239204352806844870289401959678
absolute error = 1.530e-30
relative error = 1.2346631905661822095961534693037e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.985
y[1] (analytic) = 0.01223559620895882717670177581795
y[1] (numeric) = 0.012235596208958827176701775816416
absolute error = 1.534e-30
relative error = 1.2537190454820785719772727347589e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 0.01208013665417068299411022519961
y[1] (numeric) = 0.012080136654170682994110225198075
absolute error = 1.535e-30
relative error = 1.2706809897469489639525932454515e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 0.01192566501916355798830108315492
y[1] (numeric) = 0.011925665019163557988301083153382
absolute error = 1.538e-30
relative error = 1.2896555433416594554884921024403e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 0.01177218145840907429376353398713
y[1] (numeric) = 0.011772181458409074293763533985596
absolute error = 1.534e-30
relative error = 1.3030719968253947333246766920305e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 0.01161968612539077987468496903671
y[1] (numeric) = 0.011619686125390779874684969035174
absolute error = 1.536e-30
relative error = 1.3218945704941259939063598824859e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 0.01146817917260399504141581278916
y[1] (numeric) = 0.01146817917260399504141581278762
absolute error = 1.540e-30
relative error = 1.3428461282492533067613837936960e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 0.01131766075155565995516192046753
y[1] (numeric) = 0.011317660751555659955161920465993
absolute error = 1.537e-30
relative error = 1.3580544900046883816491726618031e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=755.3MB, alloc=4.5MB, time=33.62
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 0.01116813101276418312105704240452
y[1] (numeric) = 0.011168131012764183121057042402979
absolute error = 1.541e-30
relative error = 1.3798190567775160306919377138336e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 0.01101959010575929086976686210898
y[1] (numeric) = 0.011019590105759290869766862107431
absolute error = 1.549e-30
relative error = 1.4056784191913172082982588364223e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 0.01087203817908187782777512641035
y[1] (numeric) = 0.010872038179081877827775126408799
absolute error = 1.551e-30
relative error = 1.4265954317417407098065220701113e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 0.0107254753802838583765013973824
y[1] (numeric) = 0.010725475380283858376501397380853
absolute error = 1.547e-30
relative error = 1.4423603105217863027648136136326e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 0.01057990185592801910039896691613
y[1] (numeric) = 0.010579901855928019100398966914581
absolute error = 1.549e-30
relative error = 1.4640967573173475572262112007440e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 0.01043531775158787222418048583158
y[1] (numeric) = 0.010435317751587872224180485830033
absolute error = 1.547e-30
relative error = 1.4824656391173171500545481881819e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.998
y[1] (analytic) = 0.01029172321184751003931787029084
y[1] (numeric) = 0.010291723211847510039317870289289
absolute error = 1.551e-30
relative error = 1.5070362543510082788624192626876e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 0.01014911838030146031996205900005
y[1] (numeric) = 0.010149118380301460319962058998497
absolute error = 1.553e-30
relative error = 1.5301821713048843946027744899085e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 0.01000750339955454272842720526874
y[1] (numeric) = 0.010007503399554542728427205267183
absolute error = 1.557e-30
relative error = 1.5558325966387437793448774937106e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.001
y[1] (analytic) = 0.00986687841122172621038289843023
y[1] (numeric) = 0.0098668784112217262103828984286745
absolute error = 1.5555e-30
relative error = 1.5764864379304705750870980641201e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.002
y[1] (analytic) = 0.00972724355592798737989701941909
y[1] (numeric) = 0.0097272435559279873798970194175291
absolute error = 1.5609e-30
relative error = 1.6046683636791993545992487807804e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.003
y[1] (analytic) = 0.00958859897330816989447084545087
y[1] (numeric) = 0.0095885989733081698944708454493143
absolute error = 1.5557e-30
relative error = 1.6224476634496966019657350855224e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.004
y[1] (analytic) = 0.00945094480200684482020702875748
y[1] (numeric) = 0.0094509448020068448202070287559141
absolute error = 1.5659e-30
relative error = 1.6568713846127760945170902452883e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.005
y[1] (analytic) = 0.00931428117967817198725008419831
y[1] (numeric) = 0.0093142811796781719872500841967469
absolute error = 1.5631e-30
relative error = 1.6781756636361372911520037667515e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=759.1MB, alloc=4.5MB, time=33.79
x[1] = 3.006
y[1] (analytic) = 0.00917860824298576233563803029542
y[1] (numeric) = 0.0091786082429857623356380302938542
absolute error = 1.5658e-30
relative error = 1.7059231187871810731548417453217e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.007
y[1] (analytic) = 0.00904392612760254125170283782931
y[1] (numeric) = 0.0090439261276025412517028378277474
absolute error = 1.5626e-30
relative error = 1.7277894334307553540791649228584e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.008
y[1] (analytic) = 0.00891023496821061289515634958374
y[1] (numeric) = 0.0089102349682106128951563495821758
absolute error = 1.5642e-30
relative error = 1.7555092605084561123742670468329e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.009
y[1] (analytic) = 0.00877753489850112551699734414216
y[1] (numeric) = 0.0087775348985011255169973441405897
absolute error = 1.5703e-30
relative error = 1.7889988683134127730822924986478e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 0.00864582605117413776837442581758
y[1] (numeric) = 0.0086458260511741377683744258160111
absolute error = 1.5689e-30
relative error = 1.8146328537189770352499151211500e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.011
y[1] (analytic) = 0.00851510855793848600053843184186
y[1] (numeric) = 0.008515108557938486000538431840282
absolute error = 1.5780e-30
relative error = 1.8531766086867540209355188460460e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.012
y[1] (analytic) = 0.0083853825495116525560170568508
y[1] (numeric) = 0.0083853825495116525560170568492239
absolute error = 1.5761e-30
relative error = 1.8795803181236958884024145137996e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.013
y[1] (analytic) = 0.00825664815561963505114340347968
y[1] (numeric) = 0.0082566481556196350511434034781083
absolute error = 1.5717e-30
relative error = 1.9035569523817851713285863376059e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.014
y[1] (analytic) = 0.00812890550499681665006917652957
y[1] (numeric) = 0.0081289055049968166500691765279953
absolute error = 1.5747e-30
relative error = 1.9371611578361146986709610557355e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.015
y[1] (analytic) = 0.00800215472538583733039224668051
y[1] (numeric) = 0.008002154725385837330392246678935
absolute error = 1.5750e-30
relative error = 1.9682198783329058032577693078710e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.016
y[1] (analytic) = 0.00787639594353746614052731811332
y[1] (numeric) = 0.0078763959435374661405273181117399
absolute error = 1.5801e-30
relative error = 2.0061205801829480367371936098007e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.017
y[1] (analytic) = 0.0077516292852104744489474426586
y[1] (numeric) = 0.0077516292852104744489474426570161
absolute error = 1.5839e-30
relative error = 2.0433123692098666912788334934628e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.018
y[1] (analytic) = 0.00762785487517151018542313122096
y[1] (numeric) = 0.0076278548751715101854231312193761
absolute error = 1.5839e-30
relative error = 2.0764684513801613865757384882262e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.019
y[1] (analytic) = 0.00750507283719497307438482122883
y[1] (numeric) = 0.0075050728371949730743848212272423
absolute error = 1.5877e-30
relative error = 2.1155024533957809452759602307322e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 0.00738328329406289086053346673696
y[1] (numeric) = 0.0073832832940628908605334667353759
absolute error = 1.5841e-30
relative error = 2.1455224415861437819772736459055e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=762.9MB, alloc=4.5MB, time=33.96
TOP MAIN SOLVE Loop
x[1] = 3.021
y[1] (analytic) = 0.00726248636756479652682302556082
y[1] (numeric) = 0.0072624863675647965268230255592274
absolute error = 1.5926e-30
relative error = 2.1929128942847419204914493912263e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.022
y[1] (analytic) = 0.00714268217849760650493762544998
y[1] (numeric) = 0.0071426821784976065049376254483888
absolute error = 1.5912e-30
relative error = 2.2277345683812763350841988866001e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.023
y[1] (analytic) = 0.00702387084666549987838519881343
y[1] (numeric) = 0.0070238708466654998783851988118333
absolute error = 1.5967e-30
relative error = 2.2732479495377033540122778972736e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.024
y[1] (analytic) = 0.00690605249087979857832838289283
y[1] (numeric) = 0.00690605249087979857832838289124
absolute error = 1.5900e-30
relative error = 2.3023282868176425989505644016704e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.025
y[1] (analytic) = 0.00678922722895884857227248954312
y[1] (numeric) = 0.0067892272289588485722724895415212
absolute error = 1.5988e-30
relative error = 2.3549071876405313628864526302646e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.026
y[1] (analytic) = 0.00667339517772790204572935592228
y[1] (numeric) = 0.0066733951777279020457293559206803
absolute error = 1.5997e-30
relative error = 2.3971306320041001385888272921928e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.027
y[1] (analytic) = 0.00655855645301900057697489441693
y[1] (numeric) = 0.0065585564530190005769748944153326
absolute error = 1.5974e-30
relative error = 2.4355969357627365463407749601201e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.028
y[1] (analytic) = 0.0064447111696708593050171670362
y[1] (numeric) = 0.0064447111696708593050171670346023
absolute error = 1.5977e-30
relative error = 2.4790870497329003550165348697993e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.029
y[1] (analytic) = 0.00633185944152875209089081629627
y[1] (numeric) = 0.00633185944152875209089081629467
absolute error = 1.6000e-30
relative error = 2.5269038499276905072837481780066e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 0.00622000138144439767239269129157
y[1] (numeric) = 0.006220001381444397672392691289969
absolute error = 1.6010e-30
relative error = 2.5739544122548387984592718990972e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.031
y[1] (analytic) = 0.00610913710127584681237251420752
y[1] (numeric) = 0.0061091371012758468123725142059174
absolute error = 1.6026e-30
relative error = 2.6232837362011554475048687922707e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.032
y[1] (analytic) = 0.00599926671188737044069143897472
y[1] (numeric) = 0.0059992667118873704406914389731156
absolute error = 1.6044e-30
relative error = 2.6743268420137558061051020364572e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.033
y[1] (analytic) = 0.00589039032314934878996036009674
y[1] (numeric) = 0.0058903903231493487899603600951285
absolute error = 1.6115e-30
relative error = 2.7358119098946186764774937636340e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.034
y[1] (analytic) = 0.00578250804393816152516883590392
y[1] (numeric) = 0.0057825080439381615251688359023052
absolute error = 1.6148e-30
relative error = 2.7925598853127488436542555225647e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.035
memory used=766.7MB, alloc=4.5MB, time=34.13
y[1] (analytic) = 0.00567561998213607886731449659517
y[1] (numeric) = 0.0056756199821360788673144965935569
absolute error = 1.6131e-30
relative error = 2.8421564605755950642352739405125e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.036
y[1] (analytic) = 0.00556972624463115371114181342923
y[1] (numeric) = 0.0055697262446311537111418134276123
absolute error = 1.6177e-30
relative error = 2.9044515456380919801879839302970e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.037
y[1] (analytic) = 0.00546482693731711473709811131761
y[1] (numeric) = 0.0054648269373171147370981113159904
absolute error = 1.6196e-30
relative error = 2.9636803115216699308201636815620e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.038
y[1] (analytic) = 0.00536092216509326051761371285439
y[1] (numeric) = 0.0053609221650932605176137128527717
absolute error = 1.6183e-30
relative error = 3.0186970639814306554652424256932e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.039
y[1] (analytic) = 0.00525801203186435461781210749382
y[1] (numeric) = 0.0052580120318643546178121074921986
absolute error = 1.6214e-30
relative error = 3.0836749520048048203872810823331e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 0.00515609664054052169075504515681
y[1] (numeric) = 0.0051560966405405216907550451551942
absolute error = 1.6158e-30
relative error = 3.1337659331199291756097601225218e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.041
y[1] (analytic) = 0.00505517609303714456732645901267
y[1] (numeric) = 0.0050551760930371445673264590110477
absolute error = 1.6223e-30
relative error = 3.2091859316918945116353922688606e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.042
y[1] (analytic) = 0.00495525049027476234085812754339
y[1] (numeric) = 0.0049552504902747623408581275417675
absolute error = 1.6225e-30
relative error = 3.2743047060574216045899386232313e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.043
y[1] (analytic) = 0.00485631993217896944659899125657
y[1] (numeric) = 0.0048563199321789694465989912549467
absolute error = 1.6233e-30
relative error = 3.3426545669771097284404605651642e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.044
y[1] (analytic) = 0.00475838451768031573612904456904
y[1] (numeric) = 0.0047583845176803157361290445674146
absolute error = 1.6254e-30
relative error = 3.4158651827330105537352517791986e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.045
y[1] (analytic) = 0.00466144434471420754681772843908
y[1] (numeric) = 0.0046614443447142075468177284374552
absolute error = 1.6248e-30
relative error = 3.4856149292920845634361284806450e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.046
y[1] (analytic) = 0.00456549951022080976642575428059
y[1] (numeric) = 0.0045654995102208097664257542789557
absolute error = 1.6343e-30
relative error = 3.5796740232723347757058231872152e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.047
y[1] (analytic) = 0.00447055011014494889294829454913
y[1] (numeric) = 0.0044705501101449488929482945474996
absolute error = 1.6304e-30
relative error = 3.6469784698311712936356520316892e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.048
y[1] (analytic) = 0.00437659623943601708979648014877
y[1] (numeric) = 0.0043765962394360170897964801471359
absolute error = 1.6341e-30
relative error = 3.7337234476319333071242087426538e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.049
y[1] (analytic) = 0.00428363799204787723641314946997
y[1] (numeric) = 0.0042836379920478772364131494683317
absolute error = 1.6383e-30
relative error = 3.8245528754795139042193079667377e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=770.5MB, alloc=4.5MB, time=34.30
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 0.00419167546093876897441779843508
y[1] (numeric) = 0.0041916754609387689744177984334458
absolute error = 1.6342e-30
relative error = 3.8986796931888520927718970537710e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.051
y[1] (analytic) = 0.00410070873807121574937468539858
y[1] (numeric) = 0.0041007087380712157493746853969448
absolute error = 1.6352e-30
relative error = 3.9876033740672902766660171383661e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.052
y[1] (analytic) = 0.00401073791441193284827704912615
y[1] (numeric) = 0.0040107379144119328482770491245098
absolute error = 1.6402e-30
relative error = 4.0895217663218748156546938087356e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.053
y[1] (analytic) = 0.00392176307993173643283940236079
y[1] (numeric) = 0.0039217630799317364328394023591521
absolute error = 1.6379e-30
relative error = 4.1764379097283710850128174188361e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.054
y[1] (analytic) = 0.00383378432360545356868886767611
y[1] (numeric) = 0.0038337843236054535686888676744641
absolute error = 1.6459e-30
relative error = 4.2931470867201151042525901204517e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.055
y[1] (analytic) = 0.00374680173341183325054552641782
y[1] (numeric) = 0.0037468017334118332505455264161717
absolute error = 1.6483e-30
relative error = 4.3992186330581734815502726239211e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.056
y[1] (analytic) = 0.00366081539633345842348075554587
y[1] (numeric) = 0.0036608153963334584234807555442247
absolute error = 1.6453e-30
relative error = 4.4943539126498253586680512081370e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.057
y[1] (analytic) = 0.00357582539835665900034153111141
y[1] (numeric) = 0.0035758253983566590003415311097572
absolute error = 1.6528e-30
relative error = 4.6221496182659723750080788095774e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.058
y[1] (analytic) = 0.00349183182447142587542768093702
y[1] (numeric) = 0.0034918318244714258754276809353651
absolute error = 1.6549e-30
relative error = 4.7393462319752744064675708297263e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.059
y[1] (analytic) = 0.00340883475867132593450807281594
y[1] (numeric) = 0.0034088347586713259345080728142838
absolute error = 1.6562e-30
relative error = 4.8585517258851912417235197518250e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 0.00332683428395341806126072820685
y[1] (numeric) = 0.0033268342839534180612607282051938
absolute error = 1.6562e-30
relative error = 4.9783062774977399980538771940662e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.061
y[1] (analytic) = 0.0032458304823181701402208549772
y[1] (numeric) = 0.0032458304823181701402208549755427
absolute error = 1.6573e-30
relative error = 5.1059351652165067973887090100552e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.062
y[1] (analytic) = 0.00316582343476937705631979624009
y[1] (numeric) = 0.003165823434769377056319796238433
absolute error = 1.6570e-30
relative error = 5.2340253148726490254857298089033e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.063
y[1] (analytic) = 0.00308681322131407969109689573895
y[1] (numeric) = 0.0030868132213140796910968957372946
absolute error = 1.6554e-30
relative error = 5.3628123288110179959464451856407e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.064
y[1] (analytic) = 0.00300879992096248491566528356139
y[1] (numeric) = 0.0030087999209624849156652835597255
memory used=774.4MB, alloc=4.5MB, time=34.46
absolute error = 1.6645e-30
relative error = 5.5321059682411289926204282475172e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.065
y[1] (analytic) = 0.00293178361172788658051158920971
y[1] (numeric) = 0.002931783611727886580511589208048
absolute error = 1.6620e-30
relative error = 5.6689040533263560880776036572994e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.066
y[1] (analytic) = 0.00285576437062658750220859222195
y[1] (numeric) = 0.0028557643706265875022085922202838
absolute error = 1.6662e-30
relative error = 5.8345149800801548035396777494571e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.067
y[1] (analytic) = 0.00278074227367782244711882362406
y[1] (numeric) = 0.0027807422736778224471188236223949
absolute error = 1.6651e-30
relative error = 5.9879695279984761972434421331342e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.068
y[1] (analytic) = 0.00270671739590368211216613450344
y[1] (numeric) = 0.0027067173959036821121661345017719
absolute error = 1.6681e-30
relative error = 6.1628155289668775509136440965784e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.069
y[1] (analytic) = 0.00263368981132903810275125092574
y[1] (numeric) = 0.0026336898113290381027512509240663
absolute error = 1.6737e-30
relative error = 6.3549625046975492872114015380483e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 0.00256165959298146890788633727323
y[1] (numeric) = 0.0025616595929814689078863372715587
absolute error = 1.6713e-30
relative error = 6.5242860705578932657776418915632e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.071
y[1] (analytic) = 0.00249062681289118687262259286401
y[1] (numeric) = 0.0024906268128911868726225928623329
absolute error = 1.6771e-30
relative error = 6.7336462906427038098132406167916e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.072
y[1] (analytic) = 0.00242059154209096616784390941825
y[1] (numeric) = 0.0024205915420909661678439094165715
absolute error = 1.6785e-30
relative error = 6.9342554115927822069356440754576e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.073
y[1] (analytic) = 0.00235155385061607175749861957199
y[1] (numeric) = 0.0023515538506160717574986195703147
absolute error = 1.6753e-30
relative error = 7.1242255394708336579583973247458e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.074
y[1] (analytic) = 0.00228351380750418936334036920069
y[1] (numeric) = 0.0022835138075041893633403691990132
absolute error = 1.6768e-30
relative error = 7.3430692404382307265371397866748e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.075
y[1] (analytic) = 0.00221647148079535642724814880585
y[1] (numeric) = 0.0022164714807953564272481488041676
absolute error = 1.6824e-30
relative error = 7.5904428032445933077288939184540e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.076
y[1] (analytic) = 0.00215042693753189407119452163895
y[1] (numeric) = 0.0021504269375318940711945216372689
absolute error = 1.6811e-30
relative error = 7.8175173992632649224816947699000e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.077
y[1] (analytic) = 0.00208538024375834005493008858882
y[1] (numeric) = 0.0020853802437583400549300885871426
absolute error = 1.6774e-30
relative error = 8.0436170095144624591939263095464e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.078
y[1] (analytic) = 0.00202133146452138273145123214233
y[1] (numeric) = 0.0020213314645213827314512321406443
absolute error = 1.6857e-30
relative error = 8.3395525651659777975398065923441e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=778.2MB, alloc=4.6MB, time=34.64
TOP MAIN SOLVE Loop
x[1] = 3.079
y[1] (analytic) = 0.00195828066386979600031718394514
y[1] (numeric) = 0.0019582806638697960003171839434594
absolute error = 1.6806e-30
relative error = 8.5820180478059467144769025530990e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 0.00189622790485437525888146264021
y[1] (numeric) = 0.0018962279048543752588814626385182
absolute error = 1.6918e-30
relative error = 8.9219233387978502386251263553610e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.081
y[1] (analytic) = 0.00183517324952787435150173074694
y[1] (numeric) = 0.0018351732495278743515017307452522
absolute error = 1.6878e-30
relative error = 9.1969518432889738629419100140441e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.082
y[1] (analytic) = 0.00177511675894494351679112136627
y[1] (numeric) = 0.0017751167589449435167911213645795
absolute error = 1.6905e-30
relative error = 9.5233172211430405151612263835435e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.083
y[1] (analytic) = 0.00171605849316206833297308745481
y[1] (numeric) = 0.0017160584931620683329730874531219
absolute error = 1.6881e-30
relative error = 9.8370772717044682259833724400767e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.084
y[1] (analytic) = 0.00165799851123750966140082830841
y[1] (numeric) = 0.0016579985112375096614008283067166
absolute error = 1.6934e-30
relative error = 1.0213519424309175667179802922236e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.085
y[1] (analytic) = 0.00160093687123124458830134973049
y[1] (numeric) = 0.0016009368712312445883013497287915
absolute error = 1.6985e-30
relative error = 1.0609412716528427512397070232025e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.086
y[1] (analytic) = 0.00154487363020490836480321613632
y[1] (numeric) = 0.0015448736302049083648032161346219
absolute error = 1.6981e-30
relative error = 1.0991837563922740100492248420643e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.087
y[1] (analytic) = 0.00148980884422173734530605456058
y[1] (numeric) = 0.0014898088442217373453060545588783
absolute error = 1.7017e-30
relative error = 1.1422270760440764308023463333767e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.088
y[1] (analytic) = 0.00143574256834651292424887219391
y[1] (numeric) = 0.0014357425683465129242488721922068
absolute error = 1.7032e-30
relative error = 1.1862850886712282009400588231362e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.089
y[1] (analytic) = 0.00138267485664550647133325067555
y[1] (numeric) = 0.0013826748566455064713332506738517
absolute error = 1.6983e-30
relative error = 1.2282714130784358852217627420019e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 0.00133060576218642526525648191424
y[1] (numeric) = 0.0013306057621864252652564819125377
absolute error = 1.7023e-30
relative error = 1.2793421224952566419594620714819e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.091
y[1] (analytic) = 0.00127953533703835942600871169968
y[1] (numeric) = 0.0012795353370383594260087116979706
absolute error = 1.7094e-30
relative error = 1.3359537251676180803503436099401e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.092
y[1] (analytic) = 0.0012294636322717298457871588031
y[1] (numeric) = 0.0012294636322717298457871588013903
absolute error = 1.7097e-30
relative error = 1.3906064035752874847182560774807e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.093
y[1] (analytic) = 0.00118039069795823711857947864833
y[1] (numeric) = 0.0011803906979582371185794786466176
absolute error = 1.7124e-30
relative error = 1.4507061119356479945157904335840e-25 %
Correct digits = 26
h = 0.001
memory used=782.0MB, alloc=4.6MB, time=34.81
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.094
y[1] (analytic) = 0.00113231658317081146846734196569
y[1] (numeric) = 0.0011323165831708114684673419639761
absolute error = 1.7139e-30
relative error = 1.5136226259272720521129808678511e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.095
y[1] (analytic) = 0.00108524133598356367670030012105
y[1] (numeric) = 0.0010852413359835636767003001193369
absolute error = 1.7131e-30
relative error = 1.5785428947446077020424759135524e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.096
y[1] (analytic) = 0.00103916500347173700758901004205
y[1] (numeric) = 0.0010391650034717370075890100403325
absolute error = 1.7175e-30
relative error = 1.6527692852068917905633834983645e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.097
y[1] (analytic) = 0.00099408763171166013326589284422
y[1] (numeric) = 0.00099408763171166013326589284250741
absolute error = 1.71259e-30
relative error = 1.7227756843239197560308438488999e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.098
y[1] (analytic) = 0.00095000926578070105736030139254
y[1] (numeric) = 0.00095000926578070105736030139082529
absolute error = 1.71471e-30
relative error = 1.8049402903358855209296982895421e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.099
y[1] (analytic) = 0.00090692994975722203763427311924
y[1] (numeric) = 0.00090692994975722203763427311752445
absolute error = 1.71555e-30
relative error = 1.8916014411689007993341251202062e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 0.00086484972672053550762394545853
y[1] (numeric) = 0.00086484972672053550762394545681278
absolute error = 1.71722e-30
relative error = 1.9855703793901948218493347853565e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.101
y[1] (analytic) = 0.00082376863875086099733071225304
y[1] (numeric) = 0.00082376863875086099733071225131346
absolute error = 1.72654e-30
relative error = 2.0959040181695620932436558134776e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.102
y[1] (analytic) = 0.00078368672692928305300520043724
y[1] (numeric) = 0.00078368672692928305300520043551504
absolute error = 1.72496e-30
relative error = 2.2010835972160772758314842394358e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.103
y[1] (analytic) = 0.00074460403133771015606614721047
y[1] (numeric) = 0.0007446040313377101560661472087426
absolute error = 1.72740e-30
relative error = 2.3198907436703755031090708330821e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.104
y[1] (analytic) = 0.00070652059105883464119525877708
y[1] (numeric) = 0.00070652059105883464119525877534934
absolute error = 1.73066e-30
relative error = 2.4495535188950797297105590556591e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.105
y[1] (analytic) = 0.00066943644417609361364813255566
y[1] (numeric) = 0.00066943644417609361364813255392966
absolute error = 1.73034e-30
relative error = 2.5847711385501419007885797254306e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.106
y[1] (analytic) = 0.00063335162777363086582032554311
y[1] (numeric) = 0.00063335162777363086582032554137477
absolute error = 1.73523e-30
relative error = 2.7397577015783664785470319023552e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.107
y[1] (analytic) = 0.00059826617793625979310665226426
y[1] (numeric) = 0.00059826617793625979310665226252869
absolute error = 1.73131e-30
relative error = 2.8938791191108524503226465705071e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
memory used=785.8MB, alloc=4.6MB, time=34.98
TOP MAIN SOLVE Loop
x[1] = 3.108
y[1] (analytic) = 0.00056418012974942730909079644479
y[1] (numeric) = 0.00056418012974942730909079644305645
absolute error = 1.73355e-30
relative error = 3.0726888605061860581721824167453e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.109
y[1] (analytic) = 0.00053109351729917876010132121464
y[1] (numeric) = 0.0005310935172991787601013212129057
absolute error = 1.73430e-30
relative error = 3.2655265852605461292871485231466e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 0.00049900637367212383916916328317
y[1] (numeric) = 0.00049900637367212383916916328142775
absolute error = 1.74225e-30
relative error = 3.4914383701735228908919075483132e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.111
y[1] (analytic) = 0.00046791873095540349942069712556
y[1] (numeric) = 0.00046791873095540349942069712382338
absolute error = 1.73662e-30
relative error = 3.7113709819954058606569566787612e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.112
y[1] (analytic) = 0.00043783062023665786693945578483
y[1] (numeric) = 0.00043783062023665786693945578309199
absolute error = 1.73801e-30
relative error = 3.9695944496996675219274839072510e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.113
y[1] (analytic) = 0.00040874207160399515312859542483
y[1] (numeric) = 0.0004087420716039951531285954230894
absolute error = 1.74060e-30
relative error = 4.2584312233127775613477453308386e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.114
y[1] (analytic) = 0.00038065311414596156660519126938
y[1] (numeric) = 0.00038065311414596156660519126763901
absolute error = 1.74099e-30
relative error = 4.5736917295583106407595609134990e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.115
y[1] (analytic) = 0.00035356377595151222465645303064
y[1] (numeric) = 0.0003535637759515122246564530288932
absolute error = 1.74680e-30
relative error = 4.9405513766194089555791304097739e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.116
y[1] (analytic) = 0.00032747408410998306428694836805
y[1] (numeric) = 0.00032747408410998306428694836630536
absolute error = 1.74464e-30
relative error = 5.3275666217729092044564655861582e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.117
y[1] (analytic) = 0.0003023840647110637528849233284
y[1] (numeric) = 0.00030238406471106375288492332664838
absolute error = 1.75162e-30
relative error = 5.7926994323385421604327376693591e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.118
y[1] (analytic) = 0.00027829374284477159853480909825
y[1] (numeric) = 0.00027829374284477159853480909650177
absolute error = 1.74823e-30
relative error = 6.2819594221891597439746158969727e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.119
y[1] (analytic) = 0.00025520314260142646000200475428
y[1] (numeric) = 0.00025520314260142646000200475252645
absolute error = 1.75355e-30
relative error = 6.8711928157510021127861643045461e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 0.00023311228707162665641502602441
y[1] (numeric) = 0.00023311228707162665641502602265363
absolute error = 1.75637e-30
relative error = 7.5344376826449024577789358821318e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.121
y[1] (analytic) = 0.00021202119834622587666911037579
y[1] (numeric) = 0.00021202119834622587666911037403156
absolute error = 1.75844e-30
relative error = 8.2936989966847880655928003187440e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.122
y[1] (analytic) = 0.00019192989751631108857436902396
y[1] (numeric) = 0.00019192989751631108857436902220078
absolute error = 1.75922e-30
relative error = 9.1659508120692523395737693310727e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
memory used=789.6MB, alloc=4.6MB, time=35.15
TOP MAIN SOLVE Loop
x[1] = 3.123
y[1] (analytic) = 0.00017283840467318144777057671327
y[1] (numeric) = 0.00017283840467318144777057671150493
absolute error = 1.76507e-30
relative error = 1.0212255796606978954958700671527e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.124
y[1] (analytic) = 0.00015474673890832820642969035195
y[1] (numeric) = 0.00015474673890832820642969035018988
absolute error = 1.76012e-30
relative error = 1.1374197688538645732183137537151e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.125
y[1] (analytic) = 0.00013765491831341562176618779776
y[1] (numeric) = 0.0001376549183134156217661877959981
absolute error = 1.76190e-30
relative error = 1.2799397374153162575326768314827e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.126
y[1] (analytic) = 0.00012156295998026286437431828209
y[1] (numeric) = 0.00012156295998026286437431828032868
absolute error = 1.76132e-30
relative error = 1.4488952887343072496849393486758e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.127
y[1] (analytic) = 0.00010647088000082692641035613397
y[1] (numeric) = 0.0001064708800008269264103561322048
absolute error = 1.76520e-30
relative error = 1.6579181086756212001791329023338e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.128
y[1] (analytic) = 9.237869346718652963694962014e-05
y[1] (numeric) = 9.2378693467186529636949618370761e-05
absolute error = 1.769239e-30
relative error = 1.9152024493921256724892954970301e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.129
y[1] (analytic) = 7.928641447152703334565685560e-05
y[1] (numeric) = 7.9286414471527033345656853828570e-05
absolute error = 1.771430e-30
relative error = 2.2342163052866360397595748346705e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 6.719405610612634217276086079e-05
y[1] (numeric) = 6.7194056106126342172760859020639e-05
absolute error = 1.769361e-30
relative error = 2.6332105881589733488941926076718e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.131
y[1] (analytic) = 5.610163046334181382245594844e-05
y[1] (numeric) = 5.6101630463341813822455946669114e-05
absolute error = 1.770886e-30
relative error = 3.1565677955779565075624057415740e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.132
y[1] (analytic) = 4.600914863559816671049771577e-05
y[1] (numeric) = 4.6009148635598166710497713994446e-05
absolute error = 1.775554e-30
relative error = 3.8591324826780636954392446682790e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.133
y[1] (analytic) = 3.691662071537638754040899743e-05
y[1] (numeric) = 3.6916620715376387540408995655519e-05
absolute error = 1.774481e-30
relative error = 4.8067265248384424892206001293171e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.134
y[1] (analytic) = 2.882405579520363882333420206e-05
y[1] (numeric) = 2.8824055795203638823334200281003e-05
absolute error = 1.778997e-30
relative error = 6.1719176948582907759009740324724e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.135
y[1] (analytic) = 2.173146196764416635163451168e-05
y[1] (numeric) = 2.1731461967644166351634509896566e-05
absolute error = 1.783434e-30
relative error = 8.2066913061594447122601452535586e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.136
y[1] (analytic) = 1.563884632529120663531646968e-05
y[1] (numeric) = 1.5638846325291206635316467895029e-05
absolute error = 1.784971e-30
relative error = 1.1413699980626688256183120140816e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
memory used=793.4MB, alloc=4.6MB, time=35.32
TOP MAIN SOLVE Loop
x[1] = 3.137
y[1] (analytic) = 1.054621496075989430938652023e-05
y[1] (numeric) = 1.0546214960759894309386518446495e-05
absolute error = 1.783505e-30
relative error = 1.6911327965872333984226365210544e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.138
y[1] (analytic) = 6.45357296668116951922409119e-06
y[1] (numeric) = 6.4535729666811695192240894028683e-06
absolute error = 1.7871317e-30
relative error = 2.7692128209081903226369717407745e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.139
y[1] (analytic) = 3.36092443569668529006583460e-06
y[1] (numeric) = 3.3609244356966852900658328159593e-06
absolute error = 1.7840407e-30
relative error = 5.3081845014173506524870992662658e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 1.26827246045471488569365495e-06
y[1] (numeric) = 1.2682724604547148856936531605493e-06
absolute error = 1.7894507e-30
relative error = 1.4109355487845463452019770982955e-22 %
Correct digits = 23
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.141
y[1] (analytic) = 1.7561913360705916041916602e-07
y[1] (numeric) = 1.7561913360705916041916423333400e-07
absolute error = 1.78666600e-30
relative error = 1.0173527014417428151897614417404e-21 %
Correct digits = 22
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.142
y[1] (analytic) = 8.296554780695390745722428e-08
y[1] (numeric) = 8.2965547806953907457222485567690e-08
absolute error = 1.794432310e-30
relative error = 2.1628644147270927923345097418922e-21 %
Correct digits = 22
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.143
y[1] (analytic) = 9.9031179570797720578119004e-07
y[1] (numeric) = 9.9031179570797720578118824148815e-07
absolute error = 1.79851185e-30
relative error = 1.8161066623610575897270973234918e-22 %
Correct digits = 23
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.144
y[1] (analytic) = 2.89765696996395676655256965e-06
y[1] (numeric) = 2.8976569699639567665525678562054e-06
absolute error = 1.7937946e-30
relative error = 6.1905001820222790702575774795170e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.145
y[1] (analytic) = 5.80499916322987727921769217e-06
y[1] (numeric) = 5.8049991632298772792176903756914e-06
absolute error = 1.7943086e-30
relative error = 3.0909713327187702679595933581271e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.146
y[1] (analytic) = 9.71233546816378775636407448e-06
y[1] (numeric) = 9.7123354681637877563640726778072e-06
absolute error = 1.8021928e-30
relative error = 1.8555709961908082837403549329129e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.147
y[1] (analytic) = 1.461966197742970887542913020e-05
y[1] (numeric) = 1.4619661977429708875429128396946e-05
absolute error = 1.803054e-30
relative error = 1.2333075845280220041296955307998e-23 %
Correct digits = 24
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.148
y[1] (analytic) = 2.052697378370154031435388097e-05
y[1] (numeric) = 2.0526973783701540314353879165863e-05
absolute error = 1.804137e-30
relative error = 8.7891036399748730301928884234276e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.149
y[1] (analytic) = 2.743426497966796807727433465e-05
y[1] (numeric) = 2.7434264979667968077274332846591e-05
absolute error = 1.803409e-30
relative error = 6.5735641225909976296651028509765e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 3.534152865803837180534320527e-05
y[1] (numeric) = 3.5341528658038371805343203468012e-05
absolute error = 1.801988e-30
relative error = 5.0987834098402555430150699197950e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.151
y[1] (analytic) = 4.424875691154973206677466435e-05
y[1] (numeric) = 4.4248756911549732066774662540628e-05
absolute error = 1.809372e-30
relative error = 4.0890911435474042186122128861980e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
memory used=797.2MB, alloc=4.6MB, time=35.50
TOP MAIN SOLVE Loop
x[1] = 3.152
y[1] (analytic) = 5.415594083297453761920483409e-05
y[1] (numeric) = 5.4155940832974537619204832279407e-05
absolute error = 1.810593e-30
relative error = 3.3432952546871161520327735037534e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.153
y[1] (analytic) = 6.506307051512969263646076085e-05
y[1] (numeric) = 6.5063070515129692636460759033128e-05
absolute error = 1.816872e-30
relative error = 2.7924781071890953032132607628040e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.154
y[1] (analytic) = 7.697013505088642389083064271e-05
y[1] (numeric) = 7.6970135050886423890830640893541e-05
absolute error = 1.816459e-30
relative error = 2.3599529854002520850780827309527e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.155
y[1] (analytic) = 8.987712253318118788092812986e-05
y[1] (numeric) = 8.9877122533181187880928128039692e-05
absolute error = 1.820308e-30
relative error = 2.0253296375036612545887742769102e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.156
y[1] (analytic) = 0.00010378402005502757789424357068
y[1] (numeric) = 0.00010378402005502757789424356886206
absolute error = 1.81794e-30
relative error = 1.7516569497270443056156619791753e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.157
y[1] (analytic) = 0.00011869081370952923099247514213
y[1] (numeric) = 0.0001186908137095292309924751403075
absolute error = 1.82250e-30
relative error = 1.5355021530648403103331510327797e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.158
y[1] (analytic) = 0.00013459748858989373490673288001
y[1] (numeric) = 0.00013459748858989373490673287818946
absolute error = 1.82054e-30
relative error = 1.3525809575444748804700174984644e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.159
y[1] (analytic) = 0.00015150402878944753482870871524
y[1] (numeric) = 0.00015150402878944753482870871341831
absolute error = 1.82169e-30
relative error = 1.2024036684408508800860017304682e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 0.00016941041740165184008290572605
y[1] (numeric) = 0.00016941041740165184008290572422405
absolute error = 1.82595e-30
relative error = 1.0778262801105618629336084687788e-24 %
Correct digits = 25
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.161
y[1] (analytic) = 0.00018831663652011953066401993529
y[1] (numeric) = 0.00018831663652011953066401993346763
absolute error = 1.82237e-30
relative error = 9.6771588197163881821249773820114e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.162
y[1] (analytic) = 0.0002082226672386330636225681169
y[1] (numeric) = 0.000208222667238633063622568115068
absolute error = 1.83200e-30
relative error = 8.7982736187911809416898953449460e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.163
y[1] (analytic) = 0.00022912848965116337928085522724
y[1] (numeric) = 0.00022912848965116337928085522540926
absolute error = 1.83074e-30
relative error = 7.9900146978108646667232029234924e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.164
y[1] (analytic) = 0.00025103408285188980726037524717
y[1] (numeric) = 0.00025103408285188980726037524533606
absolute error = 1.83394e-30
relative error = 7.3055418577644901414478245030585e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.165
y[1] (analytic) = 0.00027393942493522097230073940883
y[1] (numeric) = 0.00027393942493522097230073940699513
absolute error = 1.83487e-30
relative error = 6.6980866315021853442020152178649e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
memory used=801.1MB, alloc=4.6MB, time=35.67
TOP MAIN SOLVE Loop
x[1] = 3.166
y[1] (analytic) = 0.00029784449299581669984922599017
y[1] (numeric) = 0.00029784449299581669984922598833697
absolute error = 1.83303e-30
relative error = 6.1543189251638953864678285849315e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.167
y[1] (analytic) = 0.00032274926312861092139904608939
y[1] (numeric) = 0.0003227492631286109213990460875533
absolute error = 1.83670e-30
relative error = 5.6907953319419402326119540214923e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.168
y[1] (analytic) = 0.00034865371042883557955342004293
y[1] (numeric) = 0.00034865371042883557955342004109336
absolute error = 1.83664e-30
relative error = 5.2678056910422019989608397990579e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.169
y[1] (analytic) = 0.00037555780899204553279155942501
y[1] (numeric) = 0.0003755578089920455327915594231746
absolute error = 1.83540e-30
relative error = 4.8871304391885897886412938974353e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 0.00040346153191414445991164986472
y[1] (numeric) = 0.00040346153191414445991164986288129
absolute error = 1.83871e-30
relative error = 4.5573365849195075030416071413763e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.171
y[1] (analytic) = 0.00043236485129141176412493023987
y[1] (numeric) = 0.00043236485129141176412493023802685
absolute error = 1.84315e-30
relative error = 4.2629505948385384518240609114754e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.172
y[1] (analytic) = 0.00046226773822053047677396415579
y[1] (numeric) = 0.00046226773822053047677396415394276
absolute error = 1.84724e-30
relative error = 3.9960391938897357603702146742689e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.173
y[1] (analytic) = 0.00049317016279861616064719999309
y[1] (numeric) = 0.00049317016279861616064719999124783
absolute error = 1.84217e-30
relative error = 3.7353638540218052775885047409518e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.174
y[1] (analytic) = 0.0005250720941232468128609162123
y[1] (numeric) = 0.00052507209412324681286091621044647
absolute error = 1.85353e-30
relative error = 3.5300485795097934938648889171327e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.175
y[1] (analytic) = 0.00055797350029249376727864903575
y[1] (numeric) = 0.0005579735002924937672786490339025
absolute error = 1.84750e-30
relative error = 3.3110891449710910324450259381346e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.176
y[1] (analytic) = 0.00059187434840495359643720009019
y[1] (numeric) = 0.00059187434840495359643720008833602
absolute error = 1.85398e-30
relative error = 3.1323878201451100678486512119146e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.177
y[1] (analytic) = 0.00062677460455978101294732208635
y[1] (numeric) = 0.00062677460455978101294732208449421
absolute error = 1.85579e-30
relative error = 2.9608570393553604276497572391738e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.178
y[1] (analytic) = 0.00066267423385672277033618113791
y[1] (numeric) = 0.0006626742338567227703361811360522
absolute error = 1.85780e-30
relative error = 2.8034891128748430461616298307054e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.179
y[1] (analytic) = 0.00069957320039615256329769487996
y[1] (numeric) = 0.00069957320039615256329769487810667
absolute error = 1.85333e-30
relative error = 2.6492295573222372156377320272955e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 0.00073747146727910692731584613969
y[1] (numeric) = 0.00073747146727910692731584613783252
absolute error = 1.85748e-30
relative error = 2.5187143942709438609763111488099e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
memory used=804.9MB, alloc=4.6MB, time=35.84
TOP MAIN SOLVE Loop
x[1] = 3.181
y[1] (analytic) = 0.00077636899660732213762507253884
y[1] (numeric) = 0.00077636899660732213762507253698047
absolute error = 1.85953e-30
relative error = 2.3951626199990148984034506115045e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.182
y[1] (analytic) = 0.00081626574948327210747083307076
y[1] (numeric) = 0.000816265749483272107470833068901
absolute error = 1.85900e-30
relative error = 2.2774445714239745251395175468428e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.183
y[1] (analytic) = 0.00085716168601020728563245339455
y[1] (numeric) = 0.00085716168601020728563245339268616
absolute error = 1.86384e-30
relative error = 2.1744322342212166364805183802774e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.184
y[1] (analytic) = 0.00089905676529219455316935232669
y[1] (numeric) = 0.00089905676529219455316935232482549
absolute error = 1.86451e-30
relative error = 2.0738512538683049223663308815544e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.185
y[1] (analytic) = 0.00094195094543415811935075278734
y[1] (numeric) = 0.0009419509454341581193507527854742
absolute error = 1.86580e-30
relative error = 1.9807825545947375967167471927875e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.186
y[1] (analytic) = 0.0009858441835419214167279812749
y[1] (numeric) = 0.00098584418354192141672798127303074
absolute error = 1.86926e-30
relative error = 1.8961008556992848209769332090870e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.187
y[1] (analytic) = 0.00103073643572224999530746080009
y[1] (numeric) = 0.0010307364357222499953074607982155
absolute error = 1.8745e-30
relative error = 1.8186026369452189336842252870121e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.188
y[1] (analytic) = 0.00107662765708289541578150311011
y[1] (numeric) = 0.0010766276570828954157815031082322
absolute error = 1.8778e-30
relative error = 1.7441498810163094021537790142687e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.189
y[1] (analytic) = 0.00112351780173264014177300697575
y[1] (numeric) = 0.0011235178017326401417730069738777
absolute error = 1.8723e-30
relative error = 1.6664622466262845294894933191562e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 0.00117140682278134343104917030052
y[1] (numeric) = 0.0011714068227813434310491702986425
absolute error = 1.8775e-30
relative error = 1.6027736594039430391554343093618e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.191
y[1] (analytic) = 0.00122029467233998822565832484179
y[1] (numeric) = 0.0012202946723399882256583248399145
absolute error = 1.8755e-30
relative error = 1.5369238615158552321789399833410e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.192
y[1] (analytic) = 0.00127018130152072904094300341124
y[1] (numeric) = 0.0012701813015207290409430034093591
absolute error = 1.8809e-30
relative error = 1.4808122255839271483299904101554e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.193
y[1] (analytic) = 0.00132106666043694085338135054528
y[1] (numeric) = 0.0013210666604369408533813505433982
absolute error = 1.8818e-30
relative error = 1.4244549925872759667824712751268e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.194
y[1] (analytic) = 0.00137295069820326898720798880834
y[1] (numeric) = 0.0013729506982032689872079888064524
absolute error = 1.8876e-30
relative error = 1.3748490768606869673500029779504e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=808.7MB, alloc=4.6MB, time=36.01
x[1] = 3.195
y[1] (analytic) = 0.00142583336293567999976445411212
y[1] (numeric) = 0.0014258333629356799997644541102366
absolute error = 1.8834e-30
relative error = 1.3209117200920491030391578249440e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.196
y[1] (analytic) = 0.0014797146017515135655283147048
y[1] (numeric) = 0.001479714601751513565528314702915
absolute error = 1.8850e-30
relative error = 1.2738943021639151554703026242294e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.197
y[1] (analytic) = 0.00153459436076953535876908980521
y[1] (numeric) = 0.0015345943607695353587690898033189
absolute error = 1.8911e-30
relative error = 1.2323126217221936515701348319796e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.198
y[1] (analytic) = 0.00159047258510999093477808523061
y[1] (numeric) = 0.0015904725851099909347780852287171
absolute error = 1.8929e-30
relative error = 1.1901494044734473398523773203232e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.199
y[1] (analytic) = 0.00164734921889466060961826479268
y[1] (numeric) = 0.0016473492188946606096182647907917
absolute error = 1.8883e-30
relative error = 1.1462657573401544412263869157585e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 0.00170522420524691533833927771642
y[1] (numeric) = 0.0017052242052469153383392777145228
absolute error = 1.8972e-30
relative error = 1.1125809697999722525707392994107e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.201
y[1] (analytic) = 0.00176409748629177359160176387151
y[1] (numeric) = 0.0017640974862917735916017638696101
absolute error = 1.8999e-30
relative error = 1.0769812976683564633181361908028e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.202
y[1] (analytic) = 0.00182396900315595923065406019676
y[1] (numeric) = 0.0018239690031559592306540601948663
absolute error = 1.8937e-30
relative error = 1.0382303628643838260260089237115e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.203
y[1] (analytic) = 0.0018848386959679603806034333456
y[1] (numeric) = 0.001884838695967960380603433343699
absolute error = 1.9010e-30
relative error = 1.0085743698209357746240768202033e-25 %
Correct digits = 26
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.204
y[1] (analytic) = 0.00194670650385808930192296528626
y[1] (numeric) = 0.0019467065038580893019229652843538
absolute error = 1.9062e-30
relative error = 9.7919229027189702216361183636178e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.205
y[1] (analytic) = 0.00200957236495854326013422035493
y[1] (numeric) = 0.0020095723649585432601342203530233
absolute error = 1.9067e-30
relative error = 9.4880882781214724793300165613574e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.206
y[1] (analytic) = 0.00207343621640346639360482408413
y[1] (numeric) = 0.0020734362164034663936048240822269
absolute error = 1.9031e-30
relative error = 9.1784834515000052372297014996279e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.207
y[1] (analytic) = 0.00213829799432901257939908601394
y[1] (numeric) = 0.0021382979943290125793990860120378
absolute error = 1.9022e-30
relative error = 8.8958601890140248119406199312238e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.208
y[1] (analytic) = 0.00220415763387340929711880064068
y[1] (numeric) = 0.002204157633873409297118800638774
absolute error = 1.9060e-30
relative error = 8.6472944162825094378789214127243e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.209
y[1] (analytic) = 0.00227101506917702249067036266758
y[1] (numeric) = 0.0022710150691770224906703626656742
absolute error = 1.9058e-30
relative error = 8.3918421584522102525063595251060e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=812.5MB, alloc=4.6MB, time=36.18
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 0.00233887023338242242789333479576
y[1] (numeric) = 0.0023388702333824224278933347938477
absolute error = 1.9123e-30
relative error = 8.1761697280420470945102551476055e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.211
y[1] (analytic) = 0.00240772305863445055798460843233
y[1] (numeric) = 0.00240772305863445055798460843042
absolute error = 1.9100e-30
relative error = 7.9328060307868791392301388475853e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.212
y[1] (analytic) = 0.0024775734760802873666512998972
y[1] (numeric) = 0.0024775734760802873666512998952837
absolute error = 1.9163e-30
relative error = 7.7345839326296576093574992796122e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.213
y[1] (analytic) = 0.00254842141586952122892452698113
y[1] (numeric) = 0.0025484214158695212289245269792142
absolute error = 1.9158e-30
relative error = 7.5175949631797029884318212324224e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.214
y[1] (analytic) = 0.00262026680715421825956521304723
y[1] (numeric) = 0.0026202668071542182595652130453104
absolute error = 1.9196e-30
relative error = 7.3259715184684249686018628670879e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.215
y[1] (analytic) = 0.0026931095780889931609920682757
y[1] (numeric) = 0.0026931095780889931609920682737777
absolute error = 1.9223e-30
relative error = 7.1378454691919634058884530405362e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.216
y[1] (analytic) = 0.0027669496558310810686609001299
y[1] (numeric) = 0.0027669496558310810686609001279759
absolute error = 1.9241e-30
relative error = 6.9538670352933374037058899180842e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.217
y[1] (analytic) = 0.00284178696654041039382340767033
y[1] (numeric) = 0.0028417869665404103938234076684086
absolute error = 1.9214e-30
relative error = 6.7612386946059898053293817053412e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.218
y[1] (analytic) = 0.00291762143537967666359261696386
y[1] (numeric) = 0.0029176214353796766635926169619305
absolute error = 1.9295e-30
relative error = 6.6132637243560345907859073201265e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.219
y[1] (analytic) = 0.00299445298651441735824111752882
y[1] (numeric) = 0.0029944529865144173582411175268896
absolute error = 1.9304e-30
relative error = 6.4465864339617199242841562425961e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 0.00307228154311308774565726252414
y[1] (numeric) = 0.003072281543113087745657262522205
absolute error = 1.9350e-30
relative error = 6.2982509019642100567451305124364e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.221
y[1] (analytic) = 0.00315110702734713771288349823243
y[1] (numeric) = 0.0031511070273471377128834982304994
absolute error = 1.9306e-30
relative error = 6.1267357257152214692876562428938e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.222
y[1] (analytic) = 0.00323092936039108959465999130529
y[1] (numeric) = 0.00323092936039108959465999130336
absolute error = 1.9300e-30
relative error = 5.9735134530034482230118693813990e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.223
y[1] (analytic) = 0.00331174846242261699889572523352
y[1] (numeric) = 0.0033117484624226169988957252315848
absolute error = 1.9352e-30
relative error = 5.8434389627053938259973733395879e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=816.3MB, alloc=4.6MB, time=36.35
x[1] = 3.224
y[1] (analytic) = 0.00339356425262262462898824057783
y[1] (numeric) = 0.0033935642526226246289882405758887
absolute error = 1.9413e-30
relative error = 5.7205340918467025929318886073138e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.225
y[1] (analytic) = 0.00347637664917532910291219664692
y[1] (numeric) = 0.0034763766491753291029121966449789
absolute error = 1.9411e-30
relative error = 5.5836872579974049647671108479482e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.226
y[1] (analytic) = 0.00356018556926834076899593554112
y[1] (numeric) = 0.0035601855692683407689959355391748
absolute error = 1.9452e-30
relative error = 5.4637601387720951134366435914098e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.227
y[1] (analytic) = 0.00364499092909274651830423279177
y[1] (numeric) = 0.0036449909290927465183042327898247
absolute error = 1.9453e-30
relative error = 5.3369131442096436249821075224040e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.228
y[1] (analytic) = 0.00373079264384319359354442222062
y[1] (numeric) = 0.0037307926438431935935444222186707
absolute error = 1.9493e-30
relative error = 5.2248950453380643623267031964004e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.229
y[1] (analytic) = 0.00381759062771797439441208611997
y[1] (numeric) = 0.0038175906277179743944120861180207
absolute error = 1.9493e-30
relative error = 5.1061001298749130786373300145532e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 0.00390538479391911227929150541505
y[1] (numeric) = 0.0039053847939191122792915054131045
absolute error = 1.9455e-30
relative error = 4.9815833846366302325246788218237e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.231
y[1] (analytic) = 0.00399417505465244836322506811526
y[1] (numeric) = 0.0039941750546524483632250681133136
absolute error = 1.9464e-30
relative error = 4.8730963800217445960286166807012e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.232
y[1] (analytic) = 0.0040839613211277293120648380921
y[1] (numeric) = 0.0040839613211277293120648380901502
absolute error = 1.9498e-30
relative error = 4.7742861567101956677916164129183e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.233
y[1] (analytic) = 0.00417474350355869613271849003959
y[1] (numeric) = 0.0041747435035586961327184900376321
absolute error = 1.9579e-30
relative error = 4.6898689663952243883565188727275e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.234
y[1] (analytic) = 0.00426652151116317395940082037857
y[1] (numeric) = 0.0042665215111631739594008203766179
absolute error = 1.9521e-30
relative error = 4.5753900335259356184285556718522e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.235
y[1] (analytic) = 0.00435929525216316283580104786098
y[1] (numeric) = 0.004359295252163162835801047859024
absolute error = 1.9560e-30
relative error = 4.4869638023012932324960742796440e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.236
y[1] (analytic) = 0.00445306463378492949307512171416
y[1] (numeric) = 0.0044530646337849294930751217121979
absolute error = 1.9621e-30
relative error = 4.4061790280647516775225081205569e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.237
y[1] (analytic) = 0.00454782956225910012357125934075
y[1] (numeric) = 0.0045478295622591001235712593387872
absolute error = 1.9628e-30
relative error = 4.3159049237214462921735075010481e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.238
y[1] (analytic) = 0.00464358994282075415019593985626
y[1] (numeric) = 0.0046435899428207541501959398542992
absolute error = 1.9608e-30
relative error = 4.2225950700739732913393132987085e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=820.1MB, alloc=4.6MB, time=36.52
TOP MAIN SOLVE Loop
x[1] = 3.239
y[1] (analytic) = 0.00474034567970951899132658410613
y[1] (numeric) = 0.0047403456797095189913265841041698
absolute error = 1.9602e-30
relative error = 4.1351414695143456426308130300117e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 0.00483809667616966582117615625753
y[1] (numeric) = 0.0048380966761696658211761562555606
absolute error = 1.9694e-30
relative error = 4.0706090262734875488193396556593e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.241
y[1] (analytic) = 0.00493684283445020632551392660923
y[1] (numeric) = 0.004936842834450206325513926607261
absolute error = 1.9690e-30
relative error = 3.9883789418207771472770658280968e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.242
y[1] (analytic) = 0.00503658405580499045264563990697
y[1] (numeric) = 0.0050365840558049904526456399049968
absolute error = 1.9732e-30
relative error = 3.9177346752026480357157667479653e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.243
y[1] (analytic) = 0.00513732024049280515955533819209
y[1] (numeric) = 0.0051373202404928051595553381901221
absolute error = 1.9679e-30
relative error = 3.8305963184635463507891968538783e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.244
y[1] (analytic) = 0.00523905128777747415311009205007
y[1] (numeric) = 0.0052390512877774741531100920481006
absolute error = 1.9694e-30
relative error = 3.7590775348860245614712027823570e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.245
y[1] (analytic) = 0.00534177709592795862622789906233
y[1] (numeric) = 0.0053417770959279586262278990603571
absolute error = 1.9729e-30
relative error = 3.6933401835579088530037785757953e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.246
y[1] (analytic) = 0.00544549756221845898890801330197
y[1] (numeric) = 0.0054454975622184589889080132999954
absolute error = 1.9746e-30
relative error = 3.6261149278626456208474697404879e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.247
y[1] (analytic) = 0.00555021258292851759402197485151
y[1] (numeric) = 0.0055502125829285175940219748495302
absolute error = 1.9798e-30
relative error = 3.5670705768811779559775627300787e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.248
y[1] (analytic) = 0.00565592205334312245776261356015
y[1] (numeric) = 0.0056559220533431224577626135581648
absolute error = 1.9852e-30
relative error = 3.5099493615308594049411690612476e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.249
y[1] (analytic) = 0.00576262586775281197464730660024
y[1] (numeric) = 0.0057626258677528119746473065982532
absolute error = 1.9868e-30
relative error = 3.4477338032961189127779931523340e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 0.0058703239194537806269707748284
y[1] (numeric) = 0.0058703239194537806269707748264162
absolute error = 1.9838e-30
relative error = 3.3793705887776423901724876790334e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.251
y[1] (analytic) = 0.00597901610074798568860170850731
y[1] (numeric) = 0.0059790161007479856886017085053239
absolute error = 1.9861e-30
relative error = 3.3217839967875907057311149380912e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.252
y[1] (analytic) = 0.0060887023029432549230165186004
y[1] (numeric) = 0.0060887023029432549230165185984107
absolute error = 1.9893e-30
relative error = 3.2671986591270526499630855422901e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=824.0MB, alloc=4.6MB, time=36.69
x[1] = 3.253
y[1] (analytic) = 0.00619938241635339527546251561474
y[1] (numeric) = 0.0061993824163533952754625156127465
absolute error = 1.9935e-30
relative error = 3.2156428916876172580515597984951e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.254
y[1] (analytic) = 0.00631105633029830255914182383793
y[1] (numeric) = 0.006311056330298302559141823835943
absolute error = 1.9870e-30
relative error = 3.1484428216252050865465015647099e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.255
y[1] (analytic) = 0.00642372393310407213530634479431
y[1] (numeric) = 0.0064237239331040721353063447923213
absolute error = 1.9887e-30
relative error = 3.0958677874549012672729750119450e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.256
y[1] (analytic) = 0.0065373851121031105871530898346
y[1] (numeric) = 0.0065373851121031105871530898326007
absolute error = 1.9993e-30
relative error = 3.0582564216670644543630186392768e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.257
y[1] (analytic) = 0.00665203975363424838740820797308
y[1] (numeric) = 0.0066520397536342483874082079710822
absolute error = 1.9978e-30
relative error = 3.0032893277712750594472864749806e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.258
y[1] (analytic) = 0.00676768774304285355948704139769
y[1] (numeric) = 0.0067676877430428535594870413956881
absolute error = 2.0019e-30
relative error = 2.9580265461537323226114088498956e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.259
y[1] (analytic) = 0.00688432896468094633211654750227
y[1] (numeric) = 0.0068843289646809463321165475002733
absolute error = 1.9967e-30
relative error = 2.9003553000499837381966477148286e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 0.00700196330190731478730543282834
y[1] (numeric) = 0.0070019633019073147873054328263418
absolute error = 1.9982e-30
relative error = 2.8537710265572172195566369991531e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.261
y[1] (analytic) = 0.00712059063708763150154635095568
y[1] (numeric) = 0.0071205906370876315015463509536708
absolute error = 2.0092e-30
relative error = 2.8216760412192099299347205770378e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.262
y[1] (analytic) = 0.00724021085159457118013352314937
y[1] (numeric) = 0.0072402108515945711801335231473654
absolute error = 2.0046e-30
relative error = 2.7687038970122126428819336867278e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.263
y[1] (analytic) = 0.00736082382580792928447814745553
y[1] (numeric) = 0.0073608238258079292844781474535256
absolute error = 2.0044e-30
relative error = 2.7230647648057187719722202079629e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.264
y[1] (analytic) = 0.00748242943911474165230296894001
y[1] (numeric) = 0.0074824294391147416523029689380023
absolute error = 2.0077e-30
relative error = 2.6832194226980030689933530138905e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.265
y[1] (analytic) = 0.00760502756990940511059639088565
y[1] (numeric) = 0.0076050275699094051105963908836404
absolute error = 2.0096e-30
relative error = 2.6424624783101731209076599024129e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.266
y[1] (analytic) = 0.00772861809559379908120551400396
y[1] (numeric) = 0.0077286180955937990812055140019489
absolute error = 2.0111e-30
relative error = 2.6021469493318064556694908242978e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.267
y[1] (analytic) = 0.00785320089257740817894649807831
y[1] (numeric) = 0.0078532008925774081789464980762926
absolute error = 2.0174e-30
relative error = 2.5688888232908715182562791337765e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=827.8MB, alloc=4.6MB, time=36.86
TOP MAIN SOLVE Loop
x[1] = 3.268
y[1] (analytic) = 0.00797877583627744580210964793848
y[1] (numeric) = 0.0079787758362774458021096479364602
absolute error = 2.0198e-30
relative error = 2.5314660311880023315977413115382e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.269
y[1] (analytic) = 0.00810534280111897871523563327184
y[1] (numeric) = 0.0081053428011189787152356332698218
absolute error = 2.0182e-30
relative error = 2.4899625463359532318504960792987e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 0.00823290166053505262403825950526
y[1] (numeric) = 0.0082329016605350526240382595032388
absolute error = 2.0212e-30
relative error = 2.4550275022581079989276472485233e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.271
y[1] (analytic) = 0.00836145228696681874234821484544
y[1] (numeric) = 0.0083614522869668187423482148434187
absolute error = 2.0213e-30
relative error = 2.4174030187921363513264935653982e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.272
y[1] (analytic) = 0.00849099455186366135095122654454
y[1] (numeric) = 0.0084909945518636613509512265425156
absolute error = 2.0244e-30
relative error = 2.3841730054527839634235095143131e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.273
y[1] (analytic) = 0.00862152832568332634819306756348
y[1] (numeric) = 0.0086215283256833263481930675614503
absolute error = 2.0297e-30
relative error = 2.3542229675840330103802745724512e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.274
y[1] (analytic) = 0.00875305347789205079222286303868
y[1] (numeric) = 0.0087530534778920507922228630366552
absolute error = 2.0248e-30
relative error = 2.3132498905828932824302541166704e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.275
y[1] (analytic) = 0.00888556987696469343474515431976
y[1] (numeric) = 0.0088855698769646934347451543177332
absolute error = 2.0268e-30
relative error = 2.2810017005823760892120915824589e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.276
y[1] (analytic) = 0.00901907739038486624615018683688
y[1] (numeric) = 0.0090190773903848662461501868348447
absolute error = 2.0353e-30
relative error = 2.2566609775073110178460448931667e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.277
y[1] (analytic) = 0.00915357588464506693189089667853
y[1] (numeric) = 0.0091535758846450669318908966764941
absolute error = 2.0359e-30
relative error = 2.2241581057029088321603907001564e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.278
y[1] (analytic) = 0.00928906522524681243997407951381
y[1] (numeric) = 0.0092890652252468124399740795117736
absolute error = 2.0364e-30
relative error = 2.1922550338706362335877483240695e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.279
y[1] (analytic) = 0.00942554527670077345943223437906
y[1] (numeric) = 0.0094255452767007734594322343770199
absolute error = 2.0401e-30
relative error = 2.1644371122411040357439885212291e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 0.00956301590252690990964158386829
y[1] (numeric) = 0.0095630159025269099096415838662492
absolute error = 2.0408e-30
relative error = 2.1340548011226704930319026733155e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.281
y[1] (analytic) = 0.00970147696525460742035078142068
y[1] (numeric) = 0.0097014769652546074203507814186402
absolute error = 2.0398e-30
relative error = 2.1025664517943501584753332338134e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=831.6MB, alloc=4.6MB, time=37.03
x[1] = 3.282
y[1] (analytic) = 0.00984092832642281480228382568777
y[1] (numeric) = 0.0098409283264228148022838256857315
absolute error = 2.0385e-30
relative error = 2.0714509164004818594124857493529e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.283
y[1] (analytic) = 0.00998136984658018250817971138892
y[1] (numeric) = 0.0099813698465801825081797113868756
absolute error = 2.0444e-30
relative error = 2.0482158575663363898622642482120e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.284
y[1] (analytic) = 0.01012280138528520208413035562688
y[1] (numeric) = 0.010122801385285202084130355624835
absolute error = 2.045e-30
relative error = 2.0201917652683291383378742787186e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.285
y[1] (analytic) = 0.01026522280110634661107734833727
y[1] (numeric) = 0.010265222801106346611077348335219
absolute error = 2.051e-30
relative error = 1.9980082651288884179864193696219e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.286
y[1] (analytic) = 0.01040863395162221213632708538676
y[1] (numeric) = 0.010408633951622212136327085384709
absolute error = 2.051e-30
relative error = 1.9704795168441353645058785198611e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.287
y[1] (analytic) = 0.01055303469342166009494285281678
y[1] (numeric) = 0.010553034693421660094942852814728
absolute error = 2.052e-30
relative error = 1.9444643741000252359735124469138e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.288
y[1] (analytic) = 0.01069842488210396072087144085239
y[1] (numeric) = 0.010698424882103960720871440850341
absolute error = 2.049e-30
relative error = 1.9152352075935144905175223872178e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.289
y[1] (analytic) = 0.01084480437227893744766087656177
y[1] (numeric) = 0.010844804372278937447660876559717
absolute error = 2.053e-30
relative error = 1.8930724147019174291478712805405e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 0.01099217301756711229862487446052
y[1] (numeric) = 0.01099217301756711229862487445846
absolute error = 2.060e-30
relative error = 1.8740607491419725986279425837878e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.291
y[1] (analytic) = 0.01114053067059985226630861490853
y[1] (numeric) = 0.011140530670599852266308614906469
absolute error = 2.061e-30
relative error = 1.8500016390054309974955564790204e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.292
y[1] (analytic) = 0.01128987718301951668110947084581
y[1] (numeric) = 0.011289877183019516681109470843749
absolute error = 2.061e-30
relative error = 1.8255291590769798128410919232809e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.293
y[1] (analytic) = 0.01144021240547960556890531425879
y[1] (numeric) = 0.01144021240547960556890531425673
absolute error = 2.060e-30
relative error = 1.8006658678935944653049045532459e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.294
y[1] (analytic) = 0.01159153618764490899754204476121
y[1] (numeric) = 0.011591536187644908997542044759144
absolute error = 2.066e-30
relative error = 1.7823349438378073156495769851282e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.295
y[1] (analytic) = 0.01174384837819165741203099381445
y[1] (numeric) = 0.01174384837819165741203099381238
absolute error = 2.070e-30
relative error = 1.7626249363402824976696685886765e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.296
y[1] (analytic) = 0.01189714882480767295830586940251
y[1] (numeric) = 0.011897148824807672958305869400446
absolute error = 2.064e-30
relative error = 1.7348694467839156671577976526087e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=835.4MB, alloc=4.6MB, time=37.20
TOP MAIN SOLVE Loop
x[1] = 3.297
y[1] (analytic) = 0.01205143737419252179538791741727
y[1] (numeric) = 0.012051437374192521795387917415196
absolute error = 2.074e-30
relative error = 1.7209565428613144910811994135146e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.298
y[1] (analytic) = 0.01220671387205766739580698760143
y[1] (numeric) = 0.012206713872057667395806987599356
absolute error = 2.074e-30
relative error = 1.6990649750114843477986147420136e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.299
y[1] (analytic) = 0.01236297816312662483412520364113
y[1] (numeric) = 0.012362978163126624834125203639058
absolute error = 2.072e-30
relative error = 1.6759715763147369054485476537850e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 0.01252023009113511606340894889715
y[1] (numeric) = 0.012520230091135116063408948895072
absolute error = 2.078e-30
relative error = 1.6597139069123954161772529419604e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.301
y[1] (analytic) = 0.01267846949883122617949389131576
y[1] (numeric) = 0.012678469498831226179493891313684
absolute error = 2.076e-30
relative error = 1.6374216148024629878639497070800e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.302
y[1] (analytic) = 0.01283769622797556067288678326731
y[1] (numeric) = 0.012837696227975560672886783265227
absolute error = 2.083e-30
relative error = 1.6225652663916308398341927735319e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.303
y[1] (analytic) = 0.01299791011934140366814678442363
y[1] (numeric) = 0.012997910119341403668146784421554
absolute error = 2.076e-30
relative error = 1.5971798396350117847786383876024e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.304
y[1] (analytic) = 0.01315911101271487715058806830642
y[1] (numeric) = 0.013159111012714877150588068304335
absolute error = 2.085e-30
relative error = 1.5844535379216626346955676844320e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.305
y[1] (analytic) = 0.01332129874689510118014448581691
y[1] (numeric) = 0.013321298746895101180144485814824
absolute error = 2.086e-30
relative error = 1.5659133839980882207879031858274e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.306
y[1] (analytic) = 0.01348447315969435509223607189588
y[1] (numeric) = 0.013484473159694355092236071893797
absolute error = 2.083e-30
relative error = 1.5447396241079500802632588259493e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.307
y[1] (analytic) = 0.01364863408793823968547619446067
y[1] (numeric) = 0.013648634087938239685476194458578
absolute error = 2.092e-30
relative error = 1.5327541104268970549273048201034e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.308
y[1] (analytic) = 0.01381378136746584039605715792561
y[1] (numeric) = 0.013813781367465840396057157923524
absolute error = 2.086e-30
relative error = 1.5100861556365286049179330760774e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.309
y[1] (analytic) = 0.01397991483312989145865108693405
y[1] (numeric) = 0.013979914833129891458651086931962
absolute error = 2.088e-30
relative error = 1.4935713306720684684774545742243e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 0.01414703431879694105366192941447
y[1] (numeric) = 0.014147034318796941053661929412377
absolute error = 2.093e-30
relative error = 1.4794620220996169903583266712189e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=839.2MB, alloc=4.6MB, time=37.37
x[1] = 3.311
y[1] (analytic) = 0.0143151396573475174406634317227
y[1] (numeric) = 0.014315139657347517440663431720608
absolute error = 2.092e-30
relative error = 1.4613898642101205408154977451936e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.312
y[1] (analytic) = 0.01448423068067629607785695244602
y[1] (numeric) = 0.014484230680676296077856952443919
absolute error = 2.101e-30
relative error = 1.4505430397508004499313754503204e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.313
y[1] (analytic) = 0.01465430721969226772738199542516
y[1] (numeric) = 0.014654307219692267727381995423064
absolute error = 2.096e-30
relative error = 1.4302962047795902767769140691614e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.314
y[1] (analytic) = 0.01482536910431890754631135669792
y[1] (numeric) = 0.014825369104318907546311356695816
absolute error = 2.104e-30
relative error = 1.4191889491554482874797936787461e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.315
y[1] (analytic) = 0.01499741616349434516316179438301
y[1] (numeric) = 0.014997416163494345163161794380905
absolute error = 2.105e-30
relative error = 1.4035751072400343468818890954570e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.316
y[1] (analytic) = 0.01517044822517153573975014500798
y[1] (numeric) = 0.015170448225171535739750145005872
absolute error = 2.108e-30
relative error = 1.3895436500698148358151202666970e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.317
y[1] (analytic) = 0.01534446511631843201822382443908
y[1] (numeric) = 0.015344465116318432018223824436974
absolute error = 2.106e-30
relative error = 1.3724818584652552076506883317043e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.318
y[1] (analytic) = 0.01551946666291815735309366639708
y[1] (numeric) = 0.015519466662918157353093666394976
absolute error = 2.104e-30
relative error = 1.3557166916226878487091923592367e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.319
y[1] (analytic) = 0.01569545268996917972809606654053
y[1] (numeric) = 0.015695452689969179728096066538417
absolute error = 2.113e-30
relative error = 1.3462497971469143898135430692540e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 0.01587242302148548675771041526881
y[1] (numeric) = 0.015872423021485486757710415266694
absolute error = 2.116e-30
relative error = 1.3331297919263528642890316277180e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.321
y[1] (analytic) = 0.01605037748049676167315681774225
y[1] (numeric) = 0.016050377480496761673156817740132
absolute error = 2.118e-30
relative error = 1.3195951326214214193066685364166e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.322
y[1] (analytic) = 0.01622931588904856029269811513609
y[1] (numeric) = 0.016229315889048560292698115133972
absolute error = 2.118e-30
relative error = 1.3050457668577472221741750133295e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.323
y[1] (analytic) = 0.01640923806820248897606923684113
y[1] (numeric) = 0.016409238068202488976069236839009
absolute error = 2.121e-30
relative error = 1.2925645853783020341882329718681e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.324
y[1] (analytic) = 0.01659014383803638356285592919648
y[1] (numeric) = 0.016590143838036383562855929194357
absolute error = 2.123e-30
relative error = 1.2796754631702332349211881204183e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.325
y[1] (analytic) = 0.01677203301764448929464392239064
y[1] (numeric) = 0.01677203301764448929464392238852
absolute error = 2.120e-30
relative error = 1.2640089593013087590081686704664e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
memory used=843.0MB, alloc=4.6MB, time=37.54
TOP MAIN SOLVE Loop
x[1] = 3.326
y[1] (analytic) = 0.01695490542513764172075861339673
y[1] (numeric) = 0.016954905425137641720758613394604
absolute error = 2.126e-30
relative error = 1.2539143962713911195298341146690e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.327
y[1] (analytic) = 0.01713876087764344858741435921718
y[1] (numeric) = 0.017138760877643448587414359215052
absolute error = 2.128e-30
relative error = 1.2416300193416296135399640252562e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.328
y[1] (analytic) = 0.0173235991913064727100914913039
y[1] (numeric) = 0.017323599191306472710091491301777
absolute error = 2.123e-30
relative error = 1.2254959125730571138834246361061e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.329
y[1] (analytic) = 0.01750942018128841582895817879203
y[1] (numeric) = 0.017509420181288415828958178789906
absolute error = 2.124e-30
relative error = 1.2130612995796570472229646671748e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 0.01769622366176830344715328514073
y[1] (numeric) = 0.017696223661768303447153285138603
absolute error = 2.127e-30
relative error = 1.2019513545114509067245164485077e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.331
y[1] (analytic) = 0.01788400944594267065174537991365
y[1] (numeric) = 0.017884009445942670651745379911517
absolute error = 2.133e-30
relative error = 1.1926855700045002026331991715112e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.332
y[1] (analytic) = 0.01807277734602574891718208475545
y[1] (numeric) = 0.018072777346025748917182084753317
absolute error = 2.133e-30
relative error = 1.1802281183246316525458560990022e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.333
y[1] (analytic) = 0.01826252717324965389104295013069
y[1] (numeric) = 0.018262527173249653891042950128552
absolute error = 2.138e-30
relative error = 1.1707032546578064646484856395066e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.334
y[1] (analytic) = 0.01845325873786457416190807708773
y[1] (numeric) = 0.018453258737864574161908077085593
absolute error = 2.137e-30
relative error = 1.1580610397095073445159572038324e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.335
y[1] (analytic) = 0.01864497184913896100915371619492
y[1] (numeric) = 0.018644971849138961009153716192778
absolute error = 2.142e-30
relative error = 1.1488352019683629558792563088592e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.336
y[1] (analytic) = 0.0188376663153597191344850938691
y[1] (numeric) = 0.01883766631535971913448509386696
absolute error = 2.140e-30
relative error = 1.1360218214796077946994452674945e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.337
y[1] (analytic) = 0.01903134194383239837501573457969
y[1] (numeric) = 0.019031341943832398375015734577543
absolute error = 2.147e-30
relative error = 1.1281390489102063678313968017140e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.338
y[1] (analytic) = 0.01922599854088138639770156586479
y[1] (numeric) = 0.019225998540881386397701565862641
absolute error = 2.149e-30
relative error = 1.1177572886164810834257792606827e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.339
y[1] (analytic) = 0.01942163591185010237493711174148
y[1] (numeric) = 0.019421635911850102374937111739332
absolute error = 2.148e-30
relative error = 1.1059830437298017571659502012753e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=846.8MB, alloc=4.6MB, time=37.71
x[1] = 3.34
y[1] (analytic) = 0.01961825386110119164112009893009
y[1] (numeric) = 0.019618253861101191641120098927937
absolute error = 2.153e-30
relative error = 1.0974473137331244724522785116980e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.341
y[1] (analytic) = 0.0198158521920167213299898193441
y[1] (numeric) = 0.019815852192016721329989819341947
absolute error = 2.153e-30
relative error = 1.0865038652576275842628072120075e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.342
y[1] (analytic) = 0.02001443070699837699254361152369
y[1] (numeric) = 0.020014430706998376992543611521539
absolute error = 2.151e-30
relative error = 1.0747245482470142130111284729046e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.343
y[1] (analytic) = 0.02021398920746766019533484311274
y[1] (numeric) = 0.020213989207467660195334843110583
absolute error = 2.157e-30
relative error = 1.0670827899735589214714532259023e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.344
y[1] (analytic) = 0.02041452749386608709895479609778
y[1] (numeric) = 0.020414527493866087098954796095624
absolute error = 2.156e-30
relative error = 1.0561106548499881160960321343609e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.345
y[1] (analytic) = 0.02061604536565538801649987634366
y[1] (numeric) = 0.020616045365655388016499876341498
absolute error = 2.162e-30
relative error = 1.0486977311379570722089150634107e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.346
y[1] (analytic) = 0.02081854262131770795182458897517
y[1] (numeric) = 0.020818542621317707951824588973012
absolute error = 2.158e-30
relative error = 1.0365759214049199216085586327205e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.347
y[1] (analytic) = 0.02102201905835580811737974136858
y[1] (numeric) = 0.021022019058355808117379741366414
absolute error = 2.166e-30
relative error = 1.0303482239205090981418937811451e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.348
y[1] (analytic) = 0.02122647447329326843143435593142
y[1] (numeric) = 0.021226474473293268431434355929251
absolute error = 2.169e-30
relative error = 1.0218371415041122464750683705341e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.349
y[1] (analytic) = 0.02143190866167469099447879546574
y[1] (numeric) = 0.02143190866167469099447879546357
absolute error = 2.170e-30
relative error = 1.0125089810038580263193384277396e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 0.02163832141806590454460562472847
y[1] (numeric) = 0.021638321418065904544605624726298
absolute error = 2.172e-30
relative error = 1.0037747189514387074006105551711e-26 %
Correct digits = 27
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.351
y[1] (analytic) = 0.02184571253605416989166375282515
y[1] (numeric) = 0.021845712536054169891663752822978
absolute error = 2.172e-30
relative error = 9.9424543668023215593995817673287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.352
y[1] (analytic) = 0.0220540818082483863299804223
y[1] (numeric) = 0.022054081808248386329980422297832
absolute error = 2.168e-30
relative error = 9.8303797857009503681585332535405e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.353
y[1] (analytic) = 0.02226342902627929902944463221754
y[1] (numeric) = 0.02226342902627929902944463221537
absolute error = 2.170e-30
relative error = 9.7469262144594892095142352977002e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.354
y[1] (analytic) = 0.02247375398079970740474460416958
y[1] (numeric) = 0.022473753980799707404744604167401
absolute error = 2.179e-30
relative error = 9.6957544425449047021076025822949e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=850.7MB, alloc=4.6MB, time=37.88
TOP MAIN SOLVE Loop
x[1] = 3.355
y[1] (analytic) = 0.02268505646148467446255092198752
y[1] (numeric) = 0.022685056461484674462550921985343
absolute error = 2.177e-30
relative error = 9.5966258831939506058679985466310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.356
y[1] (analytic) = 0.02289733625703173712643599799432
y[1] (numeric) = 0.022897336257031737126435997992142
absolute error = 2.178e-30
relative error = 9.5120234753557393114148934537993e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.357
y[1] (analytic) = 0.02311059315516111753931954089404
y[1] (numeric) = 0.023110593155161117539319540891855
absolute error = 2.185e-30
relative error = 9.4545388139985500069648672367859e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.358
y[1] (analytic) = 0.02332482694261593534322872287123
y[1] (numeric) = 0.023324826942615935343228722869046
absolute error = 2.184e-30
relative error = 9.3634135223086853751261729252515e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.359
y[1] (analytic) = 0.02354003740516242093616076615769
y[1] (numeric) = 0.023540037405162420936160766155505
absolute error = 2.185e-30
relative error = 9.2820583178887433632142813456953e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 0.02375622432759012970583469222168
y[1] (numeric) = 0.023756224327590129705834692219493
absolute error = 2.187e-30
relative error = 9.2060083700255783069868757201209e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.361
y[1] (analytic) = 0.02397338749371215724011799984578
y[1] (numeric) = 0.023973387493712157240117999843596
absolute error = 2.184e-30
relative error = 9.1101017767006388854480935703621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.362
y[1] (analytic) = 0.02419152668636535551391306168465
y[1] (numeric) = 0.024191526686365355513913061682462
absolute error = 2.188e-30
relative error = 9.0444891236781014635025457407741e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.363
y[1] (analytic) = 0.02441064168741055005228705243422
y[1] (numeric) = 0.024410641687410550052287052432027
absolute error = 2.193e-30
relative error = 8.9837867766131250029816453502803e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.364
y[1] (analytic) = 0.0246307322777327580696282455006
y[1] (numeric) = 0.024630732277732758069628245498409
absolute error = 2.191e-30
relative error = 8.8953912343919968908725800629231e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.365
y[1] (analytic) = 0.02485179823724140758461053903054
y[1] (numeric) = 0.024851798237241407584610539028343
absolute error = 2.197e-30
relative error = 8.8404065533885920710394861125109e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.366
y[1] (analytic) = 0.02507383934487055751074709635709
y[1] (numeric) = 0.025073839344870557510747096354896
absolute error = 2.194e-30
relative error = 8.7501557692194203513637619036712e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.367
y[1] (analytic) = 0.02529685537857911872231301032536
y[1] (numeric) = 0.025296855378579118722313010323161
absolute error = 2.199e-30
relative error = 8.6927800593826776440000205664772e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.368
y[1] (analytic) = 0.02552084611535107609541592559389
y[1] (numeric) = 0.025520846115351076095415925591687
absolute error = 2.203e-30
relative error = 8.6321589419203100486098812838077e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=854.5MB, alloc=4.6MB, time=38.06
x[1] = 3.369
y[1] (analytic) = 0.02574581133119571152399257785973
y[1] (numeric) = 0.025745811331195711523992577857526
absolute error = 2.204e-30
relative error = 8.5606158285229682447673641467069e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 0.02597175080114782791050823402915
y[1] (numeric) = 0.025971750801147827910508234026946
absolute error = 2.204e-30
relative error = 8.4861433365616371086434836218867e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.371
y[1] (analytic) = 0.02619866429926797413113504265324
y[1] (numeric) = 0.026198664299267974131135042651029
absolute error = 2.211e-30
relative error = 8.4393615443279614437119293987150e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.372
y[1] (analytic) = 0.02642655159864267097518432946876
y[1] (numeric) = 0.026426551598642670975184329466556
absolute error = 2.204e-30
relative error = 8.3400968596795752775181274162269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.373
y[1] (analytic) = 0.02665541247138463805856689863092
y[1] (numeric) = 0.026655412471384638058566898628713
absolute error = 2.207e-30
relative error = 8.2797443197297314566634848187649e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.374
y[1] (analytic) = 0.02688524668863302171105442619643
y[1] (numeric) = 0.026885246688633021711054426194219
absolute error = 2.211e-30
relative error = 8.2238412226836744864231039324672e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.375
y[1] (analytic) = 0.0271160540205536238371140586147
y[1] (numeric) = 0.027116054020553623837114058612482
absolute error = 2.218e-30
relative error = 8.1796562225417615293496359479489e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.376
y[1] (analytic) = 0.02734783423633913175008735541146
y[1] (numeric) = 0.027347834236339131750087355409246
absolute error = 2.214e-30
relative error = 8.0957050597377509047623612467494e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.377
y[1] (analytic) = 0.02758058710420934897948374190517
y[1] (numeric) = 0.027580587104209348979483741902953
absolute error = 2.217e-30
relative error = 8.0382625345261104976068518895071e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.378
y[1] (analytic) = 0.02781431239141142705115766468181
y[1] (numeric) = 0.027814312391411427051157664679586
absolute error = 2.224e-30
relative error = 7.9958834455556495533786949775195e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.379
y[1] (analytic) = 0.02804900986422009824013766967039
y[1] (numeric) = 0.028049009864220098240137669668165
absolute error = 2.225e-30
relative error = 7.9325438251503358330548973368201e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 0.02828467928793790929587465000943
y[1] (numeric) = 0.028284679287937909295874650007204
absolute error = 2.226e-30
relative error = 7.8699849389817360302931950844028e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.381
y[1] (analytic) = 0.02852132042689545613967553847559
y[1] (numeric) = 0.028521320426895456139675538473367
absolute error = 2.223e-30
relative error = 7.7941692976588931524225485223293e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.382
y[1] (analytic) = 0.02875893304445161953408774706041
y[1] (numeric) = 0.028758933044451619534087747058185
absolute error = 2.225e-30
relative error = 7.7367265209766292876811712655968e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.383
y[1] (analytic) = 0.02899751690299380172399868433026
y[1] (numeric) = 0.028997516902993801723998684328028
absolute error = 2.232e-30
relative error = 7.6972107903817128930020195043037e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=858.3MB, alloc=4.6MB, time=38.23
TOP MAIN SOLVE Loop
x[1] = 3.384
y[1] (analytic) = 0.02923707176393816404921370948978
y[1] (numeric) = 0.029237071763938164049213709487546
absolute error = 2.234e-30
relative error = 7.6409840836231730472470906379202e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.385
y[1] (analytic) = 0.02947759738772986552827491059065
y[1] (numeric) = 0.029477597387729865528274910588417
absolute error = 2.233e-30
relative error = 7.5752442460914153592349223140081e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.386
y[1] (analytic) = 0.02971909353384330241328212308675
y[1] (numeric) = 0.029719093533843302413282123084509
absolute error = 2.241e-30
relative error = 7.5406068406763807352106940285402e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.387
y[1] (analytic) = 0.02996155996078234871547663393464
y[1] (numeric) = 0.029961559960782348715476633932401
absolute error = 2.239e-30
relative error = 7.4729086300269386752058877867764e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.388
y[1] (analytic) = 0.03020499642608059770134704567584
y[1] (numeric) = 0.030204996426080597701347045673599
absolute error = 2.241e-30
relative error = 7.4193023180264362163234993788018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.389
y[1] (analytic) = 0.03044940268630160435901580441496
y[1] (numeric) = 0.030449402686301604359015804412716
absolute error = 2.244e-30
relative error = 7.3696026917779813588539421210674e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 0.03069477849703912883466392532752
y[1] (numeric) = 0.030694778497039128834663925325281
absolute error = 2.239e-30
relative error = 7.2944002518733855458247436992955e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.391
y[1] (analytic) = 0.030941123612917380838750479293
y[1] (numeric) = 0.030941123612917380838750479290752
absolute error = 2.248e-30
relative error = 7.2654116512481760924329305986087e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.392
y[1] (analytic) = 0.03118843778759126502178243445384
y[1] (numeric) = 0.031188437787591265021782434451598
absolute error = 2.242e-30
relative error = 7.1885613998018507129198324418030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.393
y[1] (analytic) = 0.03143672077374662731938947695132
y[1] (numeric) = 0.031436720773746627319389476949073
absolute error = 2.247e-30
relative error = 7.1476920769564179194728195224357e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.394
y[1] (analytic) = 0.03168597232310050226645746578363
y[1] (numeric) = 0.031685972323100502266457465781377
absolute error = 2.253e-30
relative error = 7.1104019691308681475009921882490e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.395
y[1] (analytic) = 0.03193619218640136128007320767362
y[1] (numeric) = 0.031936192186401361280073207671364
absolute error = 2.256e-30
relative error = 7.0640857458285822172659485478269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.396
y[1] (analytic) = 0.03218738011342936191103226902197
y[1] (numeric) = 0.032187380113429361911032269019713
absolute error = 2.257e-30
relative error = 7.0120649523082011266828125529358e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.397
y[1] (analytic) = 0.03243953585299659806366057345877
y[1] (numeric) = 0.032439535852996598063660573456519
absolute error = 2.251e-30
relative error = 6.9390635248317344737184798802200e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=862.1MB, alloc=4.6MB, time=38.39
x[1] = 3.398
y[1] (analytic) = 0.03269265915294735118369956519282
y[1] (numeric) = 0.03269265915294735118369956519056
absolute error = 2.260e-30
relative error = 6.9128668592755127317184543549095e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.399
y[1] (analytic) = 0.03294674976015834241400375029427
y[1] (numeric) = 0.032946749760158342414003750292006
absolute error = 2.264e-30
relative error = 6.8716945267171604395717863504410e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 0.03320180742053898571779846023431
y[1] (numeric) = 0.033201807420538985717798460232045
absolute error = 2.265e-30
relative error = 6.8219177688466661118473564516112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.401
y[1] (analytic) = 0.03345783187903164196924471444502
y[1] (numeric) = 0.033457831879031641969244714442753
absolute error = 2.267e-30
relative error = 6.7756930819559517976107744474472e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.402
y[1] (analytic) = 0.03371482287961187401105709135579
y[1] (numeric) = 0.033714822879611874011057091353526
absolute error = 2.264e-30
relative error = 6.7151472457210880998002961027658e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.403
y[1] (analytic) = 0.03397278016528870267891955030971
y[1] (numeric) = 0.033972780165288702678919550307445
absolute error = 2.265e-30
relative error = 6.6671022771172483967346690745609e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.404
y[1] (analytic) = 0.03423170347810486379244317996537
y[1] (numeric) = 0.034231703478104863792443179963104
absolute error = 2.266e-30
relative error = 6.6195946148264846279249732781214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.405
y[1] (analytic) = 0.03449159255913706611240888224783
y[1] (numeric) = 0.034491592559137066112408882245555
absolute error = 2.275e-30
relative error = 6.5958102575270519253559566708151e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.406
y[1] (analytic) = 0.03475244714849625026403703462746
y[1] (numeric) = 0.034752447148496250264037034625188
absolute error = 2.272e-30
relative error = 6.5376691036801135942011556244038e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.407
y[1] (analytic) = 0.03501426698532784862602520747874
y[1] (numeric) = 0.035014266985327848626025207476461
absolute error = 2.279e-30
relative error = 6.5087754113344065747343349721175e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.408
y[1] (analytic) = 0.0352770518078120461850940475027
y[1] (numeric) = 0.03527705180781204618509404750042
absolute error = 2.280e-30
relative error = 6.4631251285434733521517374537148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.409
y[1] (analytic) = 0.03554080135316404235578047268914
y[1] (numeric) = 0.03554080135316404235578047268686
absolute error = 2.280e-30
relative error = 6.4151620481034020230555502036959e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 0.03580551535763431376521635904704
y[1] (numeric) = 0.035805515357634313765216359044758
absolute error = 2.282e-30
relative error = 6.3733198006140156537656548335085e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.411
y[1] (analytic) = 0.03607119355650887800262993434646
y[1] (numeric) = 0.036071193556508878002629934344179
absolute error = 2.281e-30
relative error = 6.3236055564022339620260520258684e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.412
y[1] (analytic) = 0.03633783568410955833330612939254
y[1] (numeric) = 0.036337835684109558333306129390251
absolute error = 2.289e-30
relative error = 6.2992194138875854579882486012504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=865.9MB, alloc=4.6MB, time=38.57
TOP MAIN SOLVE Loop
x[1] = 3.413
y[1] (analytic) = 0.0366054414737942493767411728932
y[1] (numeric) = 0.036605441473794249376741172890909
absolute error = 2.291e-30
relative error = 6.2586323447024169471616185086851e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.414
y[1] (analytic) = 0.03687401065795718374872575178825
y[1] (numeric) = 0.036874010657957183748725751785961
absolute error = 2.289e-30
relative error = 6.2076241752835962202076402155504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.415
y[1] (analytic) = 0.03714354296802919966709009497882
y[1] (numeric) = 0.037143542968029199667090094976527
absolute error = 2.293e-30
relative error = 6.1733475505383765335450329870558e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.416
y[1] (analytic) = 0.03741403813447800952084337473437
y[1] (numeric) = 0.037414038134478009520843374732076
absolute error = 2.294e-30
relative error = 6.1313884156386191264829795210239e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.417
y[1] (analytic) = 0.03768549588680846940243885666033
y[1] (numeric) = 0.037685495886808469402438856658034
absolute error = 2.296e-30
relative error = 6.0925296217309373636665154976314e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.418
y[1] (analytic) = 0.03795791595356284960289526598358
y[1] (numeric) = 0.037957915953562849602895265981278
absolute error = 2.302e-30
relative error = 6.0646111414974220312219671315599e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.419
y[1] (analytic) = 0.03823129806232110606950387505699
y[1] (numeric) = 0.038231298062321106069503875054687
absolute error = 2.303e-30
relative error = 6.0238603362246911166412332883080e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 0.03850564193970115282584985439859
y[1] (numeric) = 0.038505641939701152825849854396291
absolute error = 2.299e-30
relative error = 5.9705536232850630168829397794874e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.421
y[1] (analytic) = 0.03878094731135913535387546726666
y[1] (numeric) = 0.038780947311359135353875467264362
absolute error = 2.298e-30
relative error = 5.9255901655783023963832549632926e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.422
y[1] (analytic) = 0.03905721390198970493771172573034
y[1] (numeric) = 0.039057213901989704937711725728034
absolute error = 2.306e-30
relative error = 5.9041589750530686402672953492696e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.423
y[1] (analytic) = 0.03933444143532629396900416442697
y[1] (numeric) = 0.039334441435326293969004164424665
absolute error = 2.305e-30
relative error = 5.8600044029858210163997433016924e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.424
y[1] (analytic) = 0.03961262963414139221345742670341
y[1] (numeric) = 0.039612629634141392213457426701101
absolute error = 2.309e-30
relative error = 5.8289490531825628708838054059123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.425
y[1] (analytic) = 0.03989177822024682403832239661959
y[1] (numeric) = 0.039891778220246824038322396617283
absolute error = 2.307e-30
relative error = 5.7831465603333182376187454113698e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.426
y[1] (analytic) = 0.04017188691449402660054864935048
y[1] (numeric) = 0.040171886914494026600548649348169
absolute error = 2.311e-30
relative error = 5.7527793128537127194892183991863e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.427
y[1] (analytic) = 0.04045295543677432899532403185701
y[1] (numeric) = 0.040452955436774328995324031854694
memory used=869.7MB, alloc=4.6MB, time=38.74
absolute error = 2.316e-30
relative error = 5.7251688411734871040079347645023e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.428
y[1] (analytic) = 0.04073498350601923236472222530978
y[1] (numeric) = 0.04073498350601923236472222530746
absolute error = 2.320e-30
relative error = 5.6953502869522056692215738982523e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.429
y[1] (analytic) = 0.04101797084020069096617818064125
y[1] (numeric) = 0.041017970840200690966178180638932
absolute error = 2.318e-30
relative error = 5.6511815492544696273627711408847e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 0.04130191715633139420051035877444
y[1] (numeric) = 0.041301917156331394200510358772124
absolute error = 2.316e-30
relative error = 5.6074878830291001089269640960347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.431
y[1] (analytic) = 0.04158682217046504959920774752936
y[1] (numeric) = 0.04158682217046504959920774752704
absolute error = 2.320e-30
relative error = 5.5786902651284170561594479928708e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.432
y[1] (analytic) = 0.04187268559769666677069866794376
y[1] (numeric) = 0.041872685597696666770698667941439
absolute error = 2.321e-30
relative error = 5.5429929245514493532485894497086e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.433
y[1] (analytic) = 0.0421595071521628423053174237631
y[1] (numeric) = 0.04215950715216284230531742376077
absolute error = 2.330e-30
relative error = 5.5266300708652086478884109789538e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.434
y[1] (analytic) = 0.04244728654704204563868388915671
y[1] (numeric) = 0.04244728654704204563868388915438
absolute error = 2.330e-30
relative error = 5.4891612386525255623398519248551e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.435
y[1] (analytic) = 0.04273602349455490587321017130455
y[1] (numeric) = 0.04273602349455490587321017130222
absolute error = 2.330e-30
relative error = 5.4520748761214777244491977875934e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.436
y[1] (analytic) = 0.04302571770596449955744752637163
y[1] (numeric) = 0.043025717705964499557447526369299
absolute error = 2.331e-30
relative error = 5.4176899870210925143969137975754e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.437
y[1] (analytic) = 0.04331636889157663942298574954727
y[1] (numeric) = 0.04331636889157663942298574954494
absolute error = 2.330e-30
relative error = 5.3790288974408817530715034875413e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.438
y[1] (analytic) = 0.04360797676074016407861630227385
y[1] (numeric) = 0.043607976760740164078616302271519
absolute error = 2.331e-30
relative error = 5.3453523257666394477531689749758e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.439
y[1] (analytic) = 0.04390054102184722866146948252603
y[1] (numeric) = 0.043900541021847228661469482523693
absolute error = 2.337e-30
relative error = 5.3233968092488548752190371892597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 0.04419406138233359644483498702751
y[1] (numeric) = 0.044194061382333596444834987025176
absolute error = 2.334e-30
relative error = 5.2812525642483887909148371872185e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.441
y[1] (analytic) = 0.04448853754867893140237425760913
y[1] (numeric) = 0.044488537548678931402374257606791
absolute error = 2.339e-30
relative error = 5.2575340275923626782557850963520e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=873.5MB, alloc=4.6MB, time=38.90
TOP MAIN SOLVE Loop
x[1] = 3.442
y[1] (analytic) = 0.04478396922640709172843204752019
y[1] (numeric) = 0.044783969226407091728432047517845
absolute error = 2.345e-30
relative error = 5.2362486856507998099716803079120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.443
y[1] (analytic) = 0.04508035612008642431415368740605
y[1] (numeric) = 0.045080356120086424314153687403707
absolute error = 2.343e-30
relative error = 5.1973857388318879035095186420673e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.444
y[1] (analytic) = 0.04537769793333006017911357485922
y[1] (numeric) = 0.045377697933330060179113574856874
absolute error = 2.346e-30
relative error = 5.1699405365313953221714641174112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.445
y[1] (analytic) = 0.04567599436879621085815945594
y[1] (numeric) = 0.045675994368796210858159455937647
absolute error = 2.353e-30
relative error = 5.1515025179341557659285034040421e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.446
y[1] (analytic) = 0.04597524512818846574317611184719
y[1] (numeric) = 0.045975245128188465743176111844841
absolute error = 2.349e-30
relative error = 5.1092712903444093060318107668036e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.447
y[1] (analytic) = 0.04627544991225609037947110899997
y[1] (numeric) = 0.046275449912256090379471108997612
absolute error = 2.358e-30
relative error = 5.0955744449185393888035446842222e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.448
y[1] (analytic) = 0.04657660842079432571648431616987
y[1] (numeric) = 0.046576608420794325716484316167519
absolute error = 2.351e-30
relative error = 5.0475980963662996358973397459404e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.449
y[1] (analytic) = 0.04687872035264468831252193797859
y[1] (numeric) = 0.046878720352644688312521937976236
absolute error = 2.354e-30
relative error = 5.0214681251793124497613729026865e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 0.04718178540569527149321486005225
y[1] (numeric) = 0.047181785405695271493214860049894
absolute error = 2.356e-30
relative error = 4.9934524091061830153144753360120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.451
y[1] (analytic) = 0.04748580327688104746340014739918
y[1] (numeric) = 0.047485803276881047463400147396816
absolute error = 2.364e-30
relative error = 4.9783300204820116300960586030250e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.452
y[1] (analytic) = 0.04779077366218417037212358415467
y[1] (numeric) = 0.047790773662184170372123584152307
absolute error = 2.363e-30
relative error = 4.9444690238814693683733781208087e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.453
y[1] (analytic) = 0.04809669625663428033046018971559
y[1] (numeric) = 0.048096696256634280330460189713228
absolute error = 2.362e-30
relative error = 4.9109402180075818805872019443862e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.454
y[1] (analytic) = 0.04840357075430880838184869346953
y[1] (numeric) = 0.048403570754308808381848693467168
absolute error = 2.362e-30
relative error = 4.8798052771545548449027795615814e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.455
y[1] (analytic) = 0.04871139684833328242463499780952
y[1] (numeric) = 0.048711396848333282424634997807149
absolute error = 2.371e-30
relative error = 4.8674440755256776133239731143435e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.456
y[1] (analytic) = 0.04902017423088163408651870691627
y[1] (numeric) = 0.049020174230881634086518706913902
absolute error = 2.368e-30
relative error = 4.8306641850085713535410935721110e-27 %
Correct digits = 28
h = 0.001
memory used=877.4MB, alloc=4.6MB, time=39.08
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.457
y[1] (analytic) = 0.04932990259317650655059584688712
y[1] (numeric) = 0.049329902593176506550595846884753
absolute error = 2.367e-30
relative error = 4.7983066569594486497525567523055e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.458
y[1] (analytic) = 0.04964058162548956333268995119443
y[1] (numeric) = 0.049640581625489563332689951192055
absolute error = 2.375e-30
relative error = 4.7843919676808931249787125896972e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.459
y[1] (analytic) = 0.04995221101714179800966273416818
y[1] (numeric) = 0.049952211017141798009662734165805
absolute error = 2.375e-30
relative error = 4.7545442967178882639983242936323e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 0.05026479045650384489839462421797
y[1] (numeric) = 0.050264790456503844898394624215593
absolute error = 2.377e-30
relative error = 4.7289563497870625534400601310784e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.461
y[1] (analytic) = 0.05057831963099629068512447783961
y[1] (numeric) = 0.050578319630996290685124477837231
absolute error = 2.379e-30
relative error = 4.7035963578000317754356049122942e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.462
y[1] (analytic) = 0.0508927982270899870048368450927
y[1] (numeric) = 0.050892798227089987004836845090324
absolute error = 2.376e-30
relative error = 4.6686369835629648044186062436492e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.463
y[1] (analytic) = 0.05120822593030636397038420718794
y[1] (numeric) = 0.051208225930306363970384207185557
absolute error = 2.383e-30
relative error = 4.6535492232111841915473028065842e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.464
y[1] (analytic) = 0.05152460242521774465103065708798
y[1] (numeric) = 0.0515246024252177446510306570856
absolute error = 2.380e-30
relative error = 4.6191525756153217757577928731156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.465
y[1] (analytic) = 0.05184192739544766050010254460453
y[1] (numeric) = 0.051841927395447660500102544602145
absolute error = 2.385e-30
relative error = 4.6005233983824286669299029046879e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.466
y[1] (analytic) = 0.05216020052367116773143065836711
y[1] (numeric) = 0.052160200523671167731430658364723
absolute error = 2.387e-30
relative error = 4.5762860879277863286903726473211e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.467
y[1] (analytic) = 0.05247942149161516464426756824787
y[1] (numeric) = 0.052479421491615164644267568245483
absolute error = 2.387e-30
relative error = 4.5484495296530279098064992610375e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.468
y[1] (analytic) = 0.05279958998005870989636280335142
y[1] (numeric) = 0.05279958998005870989636280334903
absolute error = 2.390e-30
relative error = 4.5265503025736611354809404185122e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.469
y[1] (analytic) = 0.05312070566883334172487759252106
y[1] (numeric) = 0.053120705668833341724877592518669
absolute error = 2.391e-30
relative error = 4.5010697239340949109106713035857e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 0.05344276823682339811481994647332
y[1] (numeric) = 0.053442768236823398114819946470922
absolute error = 2.398e-30
relative error = 4.4870430165099836397458592438890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=881.2MB, alloc=4.6MB, time=39.24
TOP MAIN SOLVE Loop
x[1] = 3.471
y[1] (analytic) = 0.05376577736196633791467991315231
y[1] (numeric) = 0.053765777361966337914679913149906
absolute error = 2.404e-30
relative error = 4.4712456844352788519757760788031e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.472
y[1] (analytic) = 0.05408973272125306289894389069548
y[1] (numeric) = 0.054089732721253062898943890693084
absolute error = 2.396e-30
relative error = 4.4296761685763666894085741620642e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.473
y[1] (analytic) = 0.05441463399072824077716593552331
y[1] (numeric) = 0.054414633990728240777165935520911
absolute error = 2.399e-30
relative error = 4.4087404877312375247843080816395e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.474
y[1] (analytic) = 0.05474048084549062914927305650839
y[1] (numeric) = 0.054740480845490629149273056505989
absolute error = 2.401e-30
relative error = 4.3861507296163764013963133309451e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.475
y[1] (analytic) = 0.05506727295969340040678053994583
y[1] (numeric) = 0.055067272959693400406780539943426
absolute error = 2.404e-30
relative error = 4.3655693677796838878061011300823e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.476
y[1] (analytic) = 0.05539501000654446757959240413656
y[1] (numeric) = 0.055395010006544467579592404134152
absolute error = 2.408e-30
relative error = 4.3469619370328022060717495722065e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.477
y[1] (analytic) = 0.05572369165830681112806113681031
y[1] (numeric) = 0.055723691658306811128061136807899
absolute error = 2.411e-30
relative error = 4.3267054429632153611730509310794e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.478
y[1] (analytic) = 0.05605331758629880667997992335574
y[1] (numeric) = 0.056053317586298806679979923353324
absolute error = 2.416e-30
relative error = 4.3101819910665668913782915849751e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.479
y[1] (analytic) = 0.05638388746089455371217962889279
y[1] (numeric) = 0.056383887460894553712179628890376
absolute error = 2.414e-30
relative error = 4.2813649585162904459862773272133e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 0.05671540095152420517640185261772
y[1] (numeric) = 0.056715400951524205176401852615299
absolute error = 2.421e-30
relative error = 4.2686818031477507010241775313048e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.481
y[1] (analytic) = 0.05704785772667429806911842857512
y[1] (numeric) = 0.057047857726674298069118428572701
absolute error = 2.419e-30
relative error = 4.2402994545208485269340903610352e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.482
y[1] (analytic) = 0.05738125745388808494496680306514
y[1] (numeric) = 0.057381257453888084944966803062722
absolute error = 2.418e-30
relative error = 4.2139195048890641383764040367810e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.483
y[1] (analytic) = 0.05771559979976586637346977527798
y[1] (numeric) = 0.057715599799765866373469775275557
absolute error = 2.423e-30
relative error = 4.1981717393671257172681193643747e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.484
y[1] (analytic) = 0.05805088442996532433870714446372
y[1] (numeric) = 0.058050884429965324338707144461297
absolute error = 2.423e-30
relative error = 4.1739243489445787516485905979535e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.485
y[1] (analytic) = 0.05838711100920185658160586399365
y[1] (numeric) = 0.058387111009201856581605863991225
absolute error = 2.425e-30
relative error = 4.1533139045324883622363602283142e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=885.0MB, alloc=4.6MB, time=39.41
TOP MAIN SOLVE Loop
x[1] = 3.486
y[1] (analytic) = 0.0587242792012489118845143600507
y[1] (numeric) = 0.058724279201248911884514360048271
absolute error = 2.429e-30
relative error = 4.1362789514636418399810765469718e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.487
y[1] (analytic) = 0.05906238866893832629772573040268
y[1] (numeric) = 0.059062388668938326297725730400254
absolute error = 2.426e-30
relative error = 4.1075209700684943021533540976879e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.488
y[1] (analytic) = 0.05940143907416066030761359676315
y[1] (numeric) = 0.059401439074160660307613596760722
absolute error = 2.428e-30
relative error = 4.0874430617223351032438428001934e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.489
y[1] (analytic) = 0.05974143007786553694604344263208
y[1] (numeric) = 0.059741430077865536946043442629645
absolute error = 2.435e-30
relative error = 4.0758984122513970889635389238938e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 0.06008236134006198084072132723323
y[1] (numeric) = 0.060082361340061980840721327230792
absolute error = 2.438e-30
relative error = 4.0577632863014317809112078017506e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.491
y[1] (analytic) = 0.06042423251981875820614092522778
y[1] (numeric) = 0.060424232519818758206140925225337
absolute error = 2.443e-30
relative error = 4.0430799004335086431623267314989e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.492
y[1] (analytic) = 0.06076704327526471777478890128542
y[1] (numeric) = 0.06076704327526471777478890128298
absolute error = 2.440e-30
relative error = 4.0153344123511177960851528942736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.493
y[1] (analytic) = 0.06111079326358913266826768833607
y[1] (numeric) = 0.061110793263589132668267688333627
absolute error = 2.443e-30
relative error = 3.9976571560159760574642712698764e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.494
y[1] (analytic) = 0.06145548214104204320799379840778
y[1] (numeric) = 0.061455482141042043207993798405337
absolute error = 2.443e-30
relative error = 3.9752352676905974899430770917429e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.495
y[1] (analytic) = 0.06180110956293460066512885538124
y[1] (numeric) = 0.061801109562934600665128855378792
absolute error = 2.448e-30
relative error = 3.9610939306956962524208527753242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.496
y[1] (analytic) = 0.06214767518363941194939959975835
y[1] (numeric) = 0.062147675183639411949399599755901
absolute error = 2.449e-30
relative error = 3.9406140177624980992214743335851e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.497
y[1] (analytic) = 0.06249517865659088523646217665371
y[1] (numeric) = 0.062495178656590885236462176651264
absolute error = 2.446e-30
relative error = 3.9139019242439420019249708649769e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.498
y[1] (analytic) = 0.06284361963428557653346507967345
y[1] (numeric) = 0.062843619634285576533465079671004
absolute error = 2.446e-30
relative error = 3.8922010129816527036228708272716e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.499
y[1] (analytic) = 0.06319299776828253718246418514736
y[1] (numeric) = 0.063192997768282537182464185144906
absolute error = 2.454e-30
relative error = 3.8833416464880820115211253985822e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=888.8MB, alloc=4.6MB, time=39.58
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 0.06354331270920366230134237332824
y[1] (numeric) = 0.063543312709203662301342373325785
absolute error = 2.455e-30
relative error = 3.8635064735056155030898184461888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.501
y[1] (analytic) = 0.06389456410673404016188529566796
y[1] (numeric) = 0.063894564106734040161885295665506
absolute error = 2.454e-30
relative error = 3.8407023106076179709084617912567e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.502
y[1] (analytic) = 0.06424675160962230250466391012345
y[1] (numeric) = 0.064246751609622302504663910120992
absolute error = 2.458e-30
relative error = 3.8258743647233096765283530896928e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.503
y[1] (analytic) = 0.06459987486568097579037346963935
y[1] (numeric) = 0.064599874865680975790373469636889
absolute error = 2.461e-30
relative error = 3.8096049026674186776754123932256e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.504
y[1] (analytic) = 0.06495393352178683338727771249762
y[1] (numeric) = 0.064953933521786833387277712495162
absolute error = 2.458e-30
relative error = 3.7842203954831129779518471330099e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.505
y[1] (analytic) = 0.06530892722388124869440606711925
y[1] (numeric) = 0.065308927223881248694406067116785
absolute error = 2.465e-30
relative error = 3.7743691479572083939106624472027e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.506
y[1] (analytic) = 0.06566485561697054920015074815021
y[1] (numeric) = 0.065664855616970549200150748147747
absolute error = 2.463e-30
relative error = 3.7508648680611088287149451688612e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.507
y[1] (analytic) = 0.06602171834512637147590968526425
y[1] (numeric) = 0.066021718345126371475909685261779
absolute error = 2.471e-30
relative error = 3.7427077966721926054685429408439e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.508
y[1] (analytic) = 0.06637951505148601710442029106893
y[1] (numeric) = 0.066379515051486017104420291066461
absolute error = 2.469e-30
relative error = 3.7195209969294996857364409222078e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.509
y[1] (analytic) = 0.06673824537825280954242813981107
y[1] (numeric) = 0.066738245378252809542428139808602
absolute error = 2.468e-30
relative error = 3.6980294971977455043083598227194e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 0.06709790896669645191733369424242
y[1] (numeric) = 0.067097908966696451917333694239944
absolute error = 2.476e-30
relative error = 3.6901298984278991243017434342696e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.511
y[1] (analytic) = 0.06745850545715338575745928402877
y[1] (numeric) = 0.067458505457153385757459284026291
absolute error = 2.479e-30
relative error = 3.6748516487287870762515941079524e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.512
y[1] (analytic) = 0.06782003448902715065557760546545
y[1] (numeric) = 0.067820034489027150655577605462974
absolute error = 2.476e-30
relative error = 3.6508386034522011630130099084445e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.513
y[1] (analytic) = 0.0681824957007887448653420790006
y[1] (numeric) = 0.068182495700788744865342078998119
absolute error = 2.481e-30
relative error = 3.6387638418041940888295252718147e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.514
y[1] (analytic) = 0.06854588872997698683025846816591
y[1] (numeric) = 0.068545888729976986830258468163423
absolute error = 2.487e-30
relative error = 3.6282263547519912211219587008831e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=892.6MB, alloc=4.6MB, time=39.76
TOP MAIN SOLVE Loop
x[1] = 3.515
y[1] (analytic) = 0.06891021321319887764483623097342
y[1] (numeric) = 0.068910213213198877644836230970931
absolute error = 2.489e-30
relative error = 3.6119464502299110684468880244671e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.516
y[1] (analytic) = 0.06927546878612996444755714265717
y[1] (numeric) = 0.069275468786129964447557142654679
absolute error = 2.491e-30
relative error = 3.5957894528152760411149599747120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.517
y[1] (analytic) = 0.06964165508351470474529779682135
y[1] (numeric) = 0.06964165508351470474529779681886
absolute error = 2.490e-30
relative error = 3.5754463288013137470311315274883e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.518
y[1] (analytic) = 0.07000877173916683166884166060286
y[1] (numeric) = 0.07000877173916683166884166060037
absolute error = 2.490e-30
relative error = 3.5566971654309918541895809535569e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.519
y[1] (analytic) = 0.07037681838596972015911542836661
y[1] (numeric) = 0.070376818385969720159115428364119
absolute error = 2.491e-30
relative error = 3.5395177803272281055515521019455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 0.07074579465587675408378348772776
y[1] (numeric) = 0.070745794655876754083783487725268
absolute error = 2.492e-30
relative error = 3.5224708579805217439925193209757e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.521
y[1] (analytic) = 0.07111570017991169428383338133702
y[1] (numeric) = 0.071115700179911694283833381334521
absolute error = 2.499e-30
relative error = 3.5139919788146885904469623201638e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.522
y[1] (analytic) = 0.07148653458816904754978421787417
y[1] (numeric) = 0.071486534588169047549784217871674
absolute error = 2.496e-30
relative error = 3.4915666487113303013245101441125e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.523
y[1] (analytic) = 0.07185829750981443652714905607227
y[1] (numeric) = 0.07185829750981443652714905606977
absolute error = 2.500e-30
relative error = 3.4790693443002166137712271627389e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.524
y[1] (analytic) = 0.07223098857308497055078135634079
y[1] (numeric) = 0.072230988573084970550781356338287
absolute error = 2.503e-30
relative error = 3.4652716921732383660658693118772e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.525
y[1] (analytic) = 0.07260460740528961740773466567233
y[1] (numeric) = 0.072604607405289617407734665669826
absolute error = 2.504e-30
relative error = 3.4488169408069422034202388990232e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.526
y[1] (analytic) = 0.07297915363280957602826377300408
y[1] (numeric) = 0.072979153632809576028263773001578
absolute error = 2.502e-30
relative error = 3.4283762902878669101240894563229e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.527
y[1] (analytic) = 0.07335462688109865010459464406399
y[1] (numeric) = 0.073354626881098650104594644061485
absolute error = 2.505e-30
relative error = 3.4149175130566515195271378091157e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.528
y[1] (analytic) = 0.0737310267746836226370895169628
y[1] (numeric) = 0.073731026774683622637089516960289
absolute error = 2.511e-30
relative error = 3.4056219068716130961268064017322e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=896.4MB, alloc=4.6MB, time=39.92
x[1] = 3.529
y[1] (analytic) = 0.0741083529371646314074326123981
y[1] (numeric) = 0.074108352937164631407432612395587
absolute error = 2.513e-30
relative error = 3.3909807739631391730198522561623e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 0.07448660499121554537846098531599
y[1] (numeric) = 0.074486604991215545378460985313471
absolute error = 2.519e-30
relative error = 3.3818161000854772488233410242014e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.531
y[1] (analytic) = 0.07486578255858434202026411823078
y[1] (numeric) = 0.074865782558584342020264118228267
absolute error = 2.513e-30
relative error = 3.3566736553291416212177761300018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.532
y[1] (analytic) = 0.07524588526009348556217493013475
y[1] (numeric) = 0.075245885260093485562174930132227
absolute error = 2.523e-30
relative error = 3.3530072658179866329979620219446e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.533
y[1] (analytic) = 0.0756269127156403061702739490382
y[1] (numeric) = 0.075626912715640306170273949035683
absolute error = 2.517e-30
relative error = 3.3281802861158742149112980436823e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.534
y[1] (analytic) = 0.07600886454419738005002747066761
y[1] (numeric) = 0.076008864544197380050027470665087
absolute error = 2.523e-30
relative error = 3.3193496773431399016825095019457e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.535
y[1] (analytic) = 0.07639174036381291047367960071498
y[1] (numeric) = 0.076391740363812910473679600712457
absolute error = 2.523e-30
relative error = 3.3027130786447637192026499551636e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.536
y[1] (analytic) = 0.07677553979161110973201715327847
y[1] (numeric) = 0.076775539791611109732017153275942
absolute error = 2.528e-30
relative error = 3.2927153711477027991180400810206e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.537
y[1] (analytic) = 0.07716026244379258201012545376095
y[1] (numeric) = 0.077160262443792582010125453758424
absolute error = 2.526e-30
relative error = 3.2737058169547641343166783279466e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.538
y[1] (analytic) = 0.07754590793563470718675217050281
y[1] (numeric) = 0.077545907935634707186752170500278
absolute error = 2.532e-30
relative error = 3.2651626209620647962635892533128e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.539
y[1] (analytic) = 0.07793247588149202555689537581696
y[1] (numeric) = 0.077932475881492025556895375814427
absolute error = 2.533e-30
relative error = 3.2502496184668956074100022203260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 0.07831996589479662347723111387023
y[1] (numeric) = 0.078319965894796623477231113867699
absolute error = 2.531e-30
relative error = 3.2316152989644663670270119383003e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.541
y[1] (analytic) = 0.07870837758805851993399483001559
y[1] (numeric) = 0.078708377588058519933994830013054
absolute error = 2.536e-30
relative error = 3.2220204223657596093804159003745e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.542
y[1] (analytic) = 0.079097710572866054032930093726
y[1] (numeric) = 0.079097710572866054032930093723464
absolute error = 2.536e-30
relative error = 3.2061610653873438545507469194558e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.543
y[1] (analytic) = 0.07948796445988627341091712521355
y[1] (numeric) = 0.079487964459886273410917125211012
absolute error = 2.538e-30
relative error = 3.1929362102118059665852788094742e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=900.3MB, alloc=4.6MB, time=40.10
TOP MAIN SOLVE Loop
x[1] = 3.544
y[1] (analytic) = 0.0798791388588653235688927141376
y[1] (numeric) = 0.079879138858865323568892714135059
absolute error = 2.541e-30
relative error = 3.1810558254634828329343602783462e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.545
y[1] (analytic) = 0.08027123337862883812567219751454
y[1] (numeric) = 0.080271233378628838125672197511996
absolute error = 2.544e-30
relative error = 3.1692549035596438158751438399761e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.546
y[1] (analytic) = 0.08066424762708232999228324303967
y[1] (numeric) = 0.080664247627082329992283243037128
absolute error = 2.542e-30
relative error = 3.1513341719269260008558777416128e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.547
y[1] (analytic) = 0.08105818121121158346642026352005
y[1] (numeric) = 0.081058181211211583466420263517506
absolute error = 2.544e-30
relative error = 3.1384864081407812007124593408007e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.548
y[1] (analytic) = 0.08145303373708304724662736799651
y[1] (numeric) = 0.081453033737083047246627367993962
absolute error = 2.548e-30
relative error = 3.1281830560473948306298046397252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.549
y[1] (analytic) = 0.08184880480984422836581683540471
y[1] (numeric) = 0.081848804809844228365816835402155
absolute error = 2.555e-30
relative error = 3.1216094186542130669436873011835e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 0.08224549403372408704372917728953
y[1] (numeric) = 0.082245494033724087043729177286972
absolute error = 2.558e-30
relative error = 3.1102007837062942080062675555803e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.551
y[1] (analytic) = 0.08264310101203343245793993714569
y[1] (numeric) = 0.082643101012033432457939937143138
absolute error = 2.552e-30
relative error = 3.0879770588816728528891888196077e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.552
y[1] (analytic) = 0.08304162534716531943301745541076
y[1] (numeric) = 0.083041625347165319433017455408201
absolute error = 2.559e-30
relative error = 3.0815870827453079832922917998058e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.553
y[1] (analytic) = 0.08344106664059544604743491098576
y[1] (numeric) = 0.083441066640595446047434910983201
absolute error = 2.559e-30
relative error = 3.0668351964175450418733873453386e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.554
y[1] (analytic) = 0.08384142449288255215783903240467
y[1] (numeric) = 0.083841424492882552157839032402106
absolute error = 2.564e-30
relative error = 3.0581541469606859152814245009130e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.555
y[1] (analytic) = 0.08424269850366881884027695441708
y[1] (numeric) = 0.084242698503668818840276954414512
absolute error = 2.568e-30
relative error = 3.0483353995220868863163279448097e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.556
y[1] (analytic) = 0.08464488827168026874798177879061
y[1] (numeric) = 0.084644888271680268747981778788043
absolute error = 2.567e-30
relative error = 3.0326698426972157150485072206192e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.557
y[1] (analytic) = 0.08504799339472716738531648158082
y[1] (numeric) = 0.085047993394727167385316481578254
absolute error = 2.566e-30
relative error = 3.0171199784698126531564807389117e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=904.1MB, alloc=4.6MB, time=40.27
x[1] = 3.558
y[1] (analytic) = 0.08545201346970442529747489295813
y[1] (numeric) = 0.085452013469704425297474892955563
absolute error = 2.567e-30
relative error = 3.0040251783067542252548393991611e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.559
y[1] (analytic) = 0.08585694809259200117553755992432
y[1] (numeric) = 0.085856948092592001175537559921751
absolute error = 2.569e-30
relative error = 2.9921864881913513297486278513992e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 0.08626279685845530587647938689634
y[1] (numeric) = 0.086262796858455305876479386893764
absolute error = 2.576e-30
relative error = 2.9862236025419406051282660747675e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.561
y[1] (analytic) = 0.08666955936144560735772503418341
y[1] (numeric) = 0.086669559361445607357725034180838
absolute error = 2.572e-30
relative error = 2.9675932575978199291041300248409e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.562
y[1] (analytic) = 0.08707723519480043652584713983587
y[1] (numeric) = 0.087077235194800436525847139833294
absolute error = 2.576e-30
relative error = 2.9582932832412877723220723184664e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.563
y[1] (analytic) = 0.08748582395084399399900151620119
y[1] (numeric) = 0.087485823950843993999001516198606
absolute error = 2.584e-30
relative error = 2.9536213792212579519360482254575e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.564
y[1] (analytic) = 0.08789532522098755778269255878602
y[1] (numeric) = 0.087895325220987557782692558783442
absolute error = 2.578e-30
relative error = 2.9330342581000288969806194350778e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.565
y[1] (analytic) = 0.08830573859572989185846119169282
y[1] (numeric) = 0.088305738595729891858461191690233
absolute error = 2.587e-30
relative error = 2.9295944308256959081759557953065e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.566
y[1] (analytic) = 0.08871706366465765568508676097697
y[1] (numeric) = 0.088717063664657655685086760974387
absolute error = 2.583e-30
relative error = 2.9115030336931602335109532055619e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.567
y[1] (analytic) = 0.08912930001644581461189337475696
y[1] (numeric) = 0.089129300016445814611893374754372
absolute error = 2.588e-30
relative error = 2.9036467239420388612904812344713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.568
y[1] (analytic) = 0.08954244723885805120375027680512
y[1] (numeric) = 0.089542447238858051203750276802527
absolute error = 2.593e-30
relative error = 2.8958332946642267060846268160748e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.569
y[1] (analytic) = 0.08995650491874717747735492865311
y[1] (numeric) = 0.089956504918747177477354928650514
absolute error = 2.596e-30
relative error = 2.8858391089614094383652365436317e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 0.09037147264205554804838656396326
y[1] (numeric) = 0.090371472642055548048386563960669
absolute error = 2.591e-30
relative error = 2.8670551936920016786836090205557e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.571
y[1] (analytic) = 0.09078734999381547418911706804673
y[1] (numeric) = 0.090787349993815474189117068044138
absolute error = 2.592e-30
relative error = 2.8550233046526522177186206231203e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.572
y[1] (analytic) = 0.09120413655814963879606512495201
y[1] (numeric) = 0.091204136558149638796065124949416
absolute error = 2.594e-30
relative error = 2.8441692426375045595190849826831e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=907.9MB, alloc=4.6MB, time=40.44
TOP MAIN SOLVE Loop
x[1] = 3.573
y[1] (analytic) = 0.09162183191827151226727866450433
y[1] (numeric) = 0.091621831918271512267278664501728
absolute error = 2.602e-30
relative error = 2.8399344845244259106299777157952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.574
y[1] (analytic) = 0.09204043565648576928882973204806
y[1] (numeric) = 0.092040435656485769288829732045456
absolute error = 2.604e-30
relative error = 2.8291913020910447846263937241870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.575
y[1] (analytic) = 0.09245994735418870653010499443208
y[1] (numeric) = 0.092459947354188706530104994429476
absolute error = 2.604e-30
relative error = 2.8163546211256102019335594943203e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.576
y[1] (analytic) = 0.09288036659186866124747418698232
y[1] (numeric) = 0.092880366591868661247474186979711
absolute error = 2.609e-30
relative error = 2.8089897744098788624732644984626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.577
y[1] (analytic) = 0.09330169294910643079591789782794
y[1] (numeric) = 0.093301692949106430795917897825334
absolute error = 2.606e-30
relative error = 2.7930897260583503588339107079510e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.578
y[1] (analytic) = 0.0937239260045756930481951779884
y[1] (numeric) = 0.093723926004575693048195177985792
absolute error = 2.608e-30
relative error = 2.7826405819498800213890543756188e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.579
y[1] (analytic) = 0.09414706533604342772113055808869
y[1] (numeric) = 0.094147065336043427721130558086081
absolute error = 2.609e-30
relative error = 2.7711963093991054665525467747184e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 0.09457111052037033860859914545098
y[1] (numeric) = 0.094571110520370338608599145448367
absolute error = 2.613e-30
relative error = 2.7630002287402213571862920935790e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.581
y[1] (analytic) = 0.09499606113351127672078756861265
y[1] (numeric) = 0.094996061133511276720787568610034
absolute error = 2.616e-30
relative error = 2.7537983878335425024485722674531e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.582
y[1] (analytic) = 0.09542191675051566432930763004511
y[1] (numeric) = 0.095421916750515664329307630042486
absolute error = 2.624e-30
relative error = 2.7498923615845515762991139802628e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.583
y[1] (analytic) = 0.095848676945527919917738621995
y[1] (numeric) = 0.095848676945527919917738621992381
absolute error = 2.619e-30
relative error = 2.7324320830097765381263302864410e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.584
y[1] (analytic) = 0.09627634129178788403717335494102
y[1] (numeric) = 0.096276341291787884037173354938394
absolute error = 2.626e-30
relative error = 2.7275652198303788459545441966789e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.585
y[1] (analytic) = 0.0967049093616312460663420431556
y[1] (numeric) = 0.096704909361631246066342043152972
absolute error = 2.628e-30
relative error = 2.7175455903407199516933763155743e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.586
y[1] (analytic) = 0.09713438072648997187588728728338
y[1] (numeric) = 0.097134380726489971875887287280757
absolute error = 2.623e-30
relative error = 2.7003826867294469565131432311635e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=911.7MB, alloc=4.6MB, time=40.61
x[1] = 3.587
y[1] (analytic) = 0.09756475495689273239636248969696
y[1] (numeric) = 0.097564754956892732396362489694331
absolute error = 2.629e-30
relative error = 2.6946206149562691152065944848272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.588
y[1] (analytic) = 0.09799603162246533308952513466721
y[1] (numeric) = 0.097996031622465333089525134664582
absolute error = 2.628e-30
relative error = 2.6817412465481284819331188803645e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.589
y[1] (analytic) = 0.09842821029193114432249546209084
y[1] (numeric) = 0.098428210291931144322495462088207
absolute error = 2.633e-30
relative error = 2.6750460992744938785676301957429e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 0.09886129053311153264435016065217
y[1] (numeric) = 0.098861290533111532644350160649531
absolute error = 2.639e-30
relative error = 2.6693966726199288783694921143997e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.591
y[1] (analytic) = 0.09929527191292629296471980386154
y[1] (numeric) = 0.099295271912926292964719803858901
absolute error = 2.639e-30
relative error = 2.6577297681547051224276413886573e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.592
y[1] (analytic) = 0.09973015399739408163395785040886
y[1] (numeric) = 0.099730153997394081633957850406223
absolute error = 2.637e-30
relative error = 2.6441350928515602232075009661621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.593
y[1] (analytic) = 0.10016593635163285042444812869938
y[1] (numeric) = 0.10016593635163285042444812869674
absolute error = 2.64e-30
relative error = 2.6356265374810367465764456697369e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.594
y[1] (analytic) = 0.10060261853986028141261682430036
y[1] (numeric) = 0.10060261853986028141261682429772
absolute error = 2.64e-30
relative error = 2.6241861676333921753640688790319e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.595
y[1] (analytic) = 0.10104020012539422276121408832296
y[1] (numeric) = 0.10104020012539422276121408832032
absolute error = 2.64e-30
relative error = 2.6128214282272529923099745486788e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.596
y[1] (analytic) = 0.10147868067065312540142948449399
y[1] (numeric) = 0.10147868067065312540142948449135
absolute error = 2.64e-30
relative error = 2.6015316542871336641507620119744e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.597
y[1] (analytic) = 0.10191805973715648061440459283844
y[1] (numeric) = 0.1019180597371564806144045928358
absolute error = 2.64e-30
relative error = 2.5903161881304238248812885011015e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.598
y[1] (analytic) = 0.10235833688552525851170518849675
y[1] (numeric) = 0.10235833688552525851170518849411
absolute error = 2.64e-30
relative error = 2.5791743792716202522941728175222e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.599
y[1] (analytic) = 0.1027995116754823474143145152411
y[1] (numeric) = 0.10279951167548234741431451523846
absolute error = 2.64e-30
relative error = 2.5681055843280228394306009324596e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 0.10324158366585299412970827473406
y[1] (numeric) = 0.10324158366585299412970827473142
absolute error = 2.64e-30
relative error = 2.5571091669268690396312525793690e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.601
y[1] (analytic) = 0.10368455241456524512657105449137
y[1] (numeric) = 0.10368455241456524512657105448873
absolute error = 2.64e-30
relative error = 2.5461844976138817633047778863138e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=915.5MB, alloc=4.6MB, time=40.78
TOP MAIN SOLVE Loop
x[1] = 3.602
y[1] (analytic) = 0.10412841747865038860671301986911
y[1] (numeric) = 0.10412841747865038860671301986646
absolute error = 2.65e-30
relative error = 2.5449344801032183377950649031112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.603
y[1] (analytic) = 0.10457317841424339747374479819544
y[1] (numeric) = 0.10457317841424339747374479819279
absolute error = 2.65e-30
relative error = 2.5341106010019262785217136612700e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.604
y[1] (analytic) = 0.10501883477658337319806758640897
y[1] (numeric) = 0.10501883477658337319806758640632
absolute error = 2.65e-30
relative error = 2.5233568870170754028530203144052e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.605
y[1] (analytic) = 0.10546538612001399057773461725058
y[1] (numeric) = 0.10546538612001399057773461724793
absolute error = 2.65e-30
relative error = 2.5126727331983985558351505764521e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.606
y[1] (analytic) = 0.1059128319979839433947392231843
y[1] (numeric) = 0.10591283199798394339473922318165
absolute error = 2.65e-30
relative error = 2.5020575411017646061289414875584e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.607
y[1] (analytic) = 0.10636117196304739096628384179641
y[1] (numeric) = 0.10636117196304739096628384179375
absolute error = 2.66e-30
relative error = 2.5009126459457897590025744600172e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.608
y[1] (analytic) = 0.10681040556686440559058341144081
y[1] (numeric) = 0.10681040556686440559058341143815
absolute error = 2.66e-30
relative error = 2.4903940640266671511001760464605e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.609
y[1] (analytic) = 0.10726053236020142088675571136471
y[1] (numeric) = 0.10726053236020142088675571136205
absolute error = 2.66e-30
relative error = 2.4799429403046502620757668517176e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 0.10771155189293168102835030646159
y[1] (numeric) = 0.10771155189293168102835030645892
absolute error = 2.67e-30
relative error = 2.4788427546323492463792476508631e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.611
y[1] (analytic) = 0.10816346371403569087006686315983
y[1] (numeric) = 0.10816346371403569087006686315716
absolute error = 2.67e-30
relative error = 2.4684860380016944025945805029955e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.612
y[1] (analytic) = 0.10861626737160166696721270976645
y[1] (numeric) = 0.10861626737160166696721270976378
absolute error = 2.67e-30
relative error = 2.4581953188147270960568780210788e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.613
y[1] (analytic) = 0.1090699624128259894874486218457
y[1] (numeric) = 0.10906996241282598948744862184302
absolute error = 2.68e-30
relative error = 2.4571384648105899400322313486894e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.614
y[1] (analytic) = 0.10952454838401365501437092092455
y[1] (numeric) = 0.10952454838401365501437092092187
absolute error = 2.68e-30
relative error = 2.4469400144006220547844644747088e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.615
y[1] (analytic) = 0.10998002483057873024247708298072
y[1] (numeric) = 0.10998002483057873024247708297804
absolute error = 2.68e-30
relative error = 2.4368061419593857223044800399061e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=919.3MB, alloc=4.6MB, time=40.95
x[1] = 3.616
y[1] (analytic) = 0.11043639129704480656306116178531
y[1] (numeric) = 0.11043639129704480656306116178263
absolute error = 2.68e-30
relative error = 2.4267363036080252216427109206956e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.617
y[1] (analytic) = 0.11089364732704545554058444124267
y[1] (numeric) = 0.11089364732704545554058444123999
absolute error = 2.68e-30
relative error = 2.4167299611818109735963113984006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.618
y[1] (analytic) = 0.11135179246332468527906584039466
y[1] (numeric) = 0.11135179246332468527906584039197
absolute error = 2.69e-30
relative error = 2.4157671291066016719261362659742e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.619
y[1] (analytic) = 0.11181082624773739767803570473698
y[1] (numeric) = 0.11181082624773739767803570473429
absolute error = 2.69e-30
relative error = 2.4058493173458995009593093573169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 0.112270748221249846577595727932
y[1] (numeric) = 0.1122707482212498465775957279293
absolute error = 2.70e-30
relative error = 2.4049006912104664256385856126603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.621
y[1] (analytic) = 0.11273155792394009679212685889608
y[1] (numeric) = 0.11273155792394009679212685889338
absolute error = 2.70e-30
relative error = 2.3950702445021544985024595272276e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.622
y[1] (analytic) = 0.11319325489499848403218616059201
y[1] (numeric) = 0.11319325489499848403218616058931
absolute error = 2.70e-30
relative error = 2.3853011405181363129292434675829e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.623
y[1] (analytic) = 0.11365583867272807571413269866786
y[1] (numeric) = 0.11365583867272807571413269866516
absolute error = 2.70e-30
relative error = 2.3755928701337099797261249830901e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.624
y[1] (analytic) = 0.11411930879454513265702165035482
y[1] (numeric) = 0.11411930879454513265702165035212
absolute error = 2.70e-30
relative error = 2.3659449294956290142829091567723e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.625
y[1] (analytic) = 0.11458366479697957166630493676837
y[1] (numeric) = 0.11458366479697957166630493676567
absolute error = 2.70e-30
relative error = 2.3563568199567413984763117695330e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.626
y[1] (analytic) = 0.11504890621567542900387579495071
y[1] (numeric) = 0.11504890621567542900387579494801
absolute error = 2.70e-30
relative error = 2.3468280480115721738959929799928e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.627
y[1] (analytic) = 0.11551503258539132474399381964851
y[1] (numeric) = 0.11551503258539132474399381964581
absolute error = 2.70e-30
relative error = 2.3373581252328340321008046658187e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.628
y[1] (analytic) = 0.11598204344000092801462611893961
y[1] (numeric) = 0.11598204344000092801462611893691
absolute error = 2.70e-30
relative error = 2.3279465682088506547486975264394e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.629
y[1] (analytic) = 0.1164499383124934231237393424063
y[1] (numeric) = 0.1164499383124934231237393424036
absolute error = 2.70e-30
relative error = 2.3185928984818778376936991625122e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 0.11691871673497397657007645560199
y[1] (numeric) = 0.11691871673497397657007645559929
absolute error = 2.70e-30
relative error = 2.3092966424873077086407387416239e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=923.1MB, alloc=4.6MB, time=41.12
TOP MAIN SOLVE Loop
x[1] = 3.631
y[1] (analytic) = 0.11738837823866420493795125007342
y[1] (numeric) = 0.11738837823866420493795125007072
absolute error = 2.70e-30
relative error = 2.3000573314937416178230214279433e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.632
y[1] (analytic) = 0.11785892235390264367559269418291
y[1] (numeric) = 0.1178589223539026436755926941802
absolute error = 2.71e-30
relative error = 2.2993592219200061290451647328274e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.633
y[1] (analytic) = 0.11833034861014521675657034642527
y[1] (numeric) = 0.11833034861014521675657034642256
absolute error = 2.71e-30
relative error = 2.2901986107794280484190715698801e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.634
y[1] (analytic) = 0.11880265653596570722383116985325
y[1] (numeric) = 0.11880265653596570722383116985054
absolute error = 2.71e-30
relative error = 2.2810937726628936889328048664602e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.635
y[1] (analytic) = 0.11927584565905622861587720361379
y[1] (numeric) = 0.11927584565905622861587720361108
absolute error = 2.71e-30
relative error = 2.2720442559228574858816940139783e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.636
y[1] (analytic) = 0.11974991550622769727461266545678
y[1] (numeric) = 0.11974991550622769727461266545407
absolute error = 2.71e-30
relative error = 2.2630496134747286071350103513042e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.637
y[1] (analytic) = 0.12022486560341030553438817740847
y[1] (numeric) = 0.12022486560341030553438817740576
absolute error = 2.71e-30
relative error = 2.2541094027416637696679086570555e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.638
y[1] (analytic) = 0.12070069547565399579176892560491
y[1] (numeric) = 0.1207006954756539957917689256022
absolute error = 2.71e-30
relative error = 2.2452231856001377649479984365149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.639
y[1] (analytic) = 0.12117740464712893545555268455658
y[1] (numeric) = 0.12117740464712893545555268455387
absolute error = 2.71e-30
relative error = 2.2363905283262791975749365076738e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 0.12165499264112599277656275586591
y[1] (numeric) = 0.12165499264112599277656275586319
absolute error = 2.72e-30
relative error = 2.2358309683383206399249981430343e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.641
y[1] (analytic) = 0.1221334589800572135567399916443
y[1] (numeric) = 0.12213345898005721355673999164159
absolute error = 2.71e-30
relative error = 2.2188841801676208429289710597741e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.642
y[1] (analytic) = 0.12261280318545629873705719357646
y[1] (numeric) = 0.12261280318545629873705719357374
absolute error = 2.72e-30
relative error = 2.2183653985023910100757556629349e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.643
y[1] (analytic) = 0.12309302477797908286377829975728
y[1] (numeric) = 0.12309302477797908286377829975456
absolute error = 2.72e-30
relative error = 2.2097109116507782891079519488728e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.644
y[1] (analytic) = 0.12357412327740401343258389308216
y[1] (numeric) = 0.12357412327740401343258389307944
absolute error = 2.72e-30
relative error = 2.2011080700884584660059651687166e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=927.0MB, alloc=4.6MB, time=41.29
x[1] = 3.645
y[1] (analytic) = 0.12405609820263263111008368710502
y[1] (numeric) = 0.1240560982026326311100836871023
absolute error = 2.72e-30
relative error = 2.1925564638968131567637048990357e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.646
y[1] (analytic) = 0.12453894907169005083223576789167
y[1] (numeric) = 0.12453894907169005083223576788894
absolute error = 2.73e-30
relative error = 2.1920853037136943651914733057085e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.647
y[1] (analytic) = 0.12502267540172544377919149348927
y[1] (numeric) = 0.12502267540172544377919149348654
absolute error = 2.73e-30
relative error = 2.1836038872371812502146170052826e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.648
y[1] (analytic) = 0.12550727670901252022608407620728
y[1] (numeric) = 0.12550727670901252022608407620455
absolute error = 2.73e-30
relative error = 2.1751726844726941014565432603034e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.649
y[1] (analytic) = 0.12599275250895001326927799696144
y[1] (numeric) = 0.12599275250895001326927799695871
absolute error = 2.73e-30
relative error = 2.1667913000043965950597398792316e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 0.12647910231606216342759552547173
y[1] (numeric) = 0.12647910231606216342759552546899
absolute error = 2.74e-30
relative error = 2.1663657867787023239238228004330e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.651
y[1] (analytic) = 0.12696632564399920411803574512812
y[1] (numeric) = 0.12696632564399920411803574512538
absolute error = 2.74e-30
relative error = 2.1580525277881035751766941255767e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.652
y[1] (analytic) = 0.12745442200553784800550060684568
y[1] (numeric) = 0.12745442200553784800550060684294
absolute error = 2.74e-30
relative error = 2.1497881021977785929310094636260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.653
y[1] (analytic) = 0.12794339091258177422604166222334
y[1] (numeric) = 0.1279433909125817742260416622206
absolute error = 2.74e-30
relative error = 2.1415721284674441358020872013308e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.654
y[1] (analytic) = 0.12843323187616211648314025280029
y[1] (numeric) = 0.12843323187616211648314025279754
absolute error = 2.75e-30
relative error = 2.1411903755965627674973429886183e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.655
y[1] (analytic) = 0.12892394440643795201653305917047
y[1] (numeric) = 0.12892394440643795201653305916772
absolute error = 2.75e-30
relative error = 2.1330405400338308866847114003907e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.656
y[1] (analytic) = 0.12941552801269679144309404117036
y[1] (numeric) = 0.12941552801269679144309404116761
absolute error = 2.75e-30
relative error = 2.1249382065884713831363721565487e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.657
y[1] (analytic) = 0.12990798220335506946928292829895
y[1] (numeric) = 0.1299079822033550694692829282962
absolute error = 2.75e-30
relative error = 2.1168830070004559770090011510795e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.658
y[1] (analytic) = 0.13040130648595863647466954796223
y[1] (numeric) = 0.13040130648595863647466954795948
absolute error = 2.75e-30
relative error = 2.1088745765719109153171983853330e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.659
y[1] (analytic) = 0.13089550036718325096604240805897
y[1] (numeric) = 0.13089550036718325096604240805621
absolute error = 2.76e-30
relative error = 2.1085522361408523219062802537350e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=930.8MB, alloc=4.6MB, time=41.46
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 0.13139056335283507290160907984007
y[1] (numeric) = 0.13139056335283507290160907983732
absolute error = 2.75e-30
relative error = 2.0929965819654597143281774187057e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.661
y[1] (analytic) = 0.13188649494785115788479505688244
y[1] (numeric) = 0.13188649494785115788479505687969
absolute error = 2.75e-30
relative error = 2.0851263058339439721496494383069e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.662
y[1] (analytic) = 0.13238329465629995222714689641944
y[1] (numeric) = 0.13238329465629995222714689641669
absolute error = 2.75e-30
relative error = 2.0773013748748932543423567549189e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.663
y[1] (analytic) = 0.13288096198138178887984458016626
y[1] (numeric) = 0.13288096198138178887984458016351
absolute error = 2.75e-30
relative error = 2.0695214415931966771678739770831e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.664
y[1] (analytic) = 0.13337949642542938423332716316905
y[1] (numeric) = 0.1333794964254293842333271631663
absolute error = 2.75e-30
relative error = 2.0617861618164727714792305976248e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.665
y[1] (analytic) = 0.13387889748990833578453491109365
y[1] (numeric) = 0.13387889748990833578453491109089
absolute error = 2.76e-30
relative error = 2.0615646317284964049086446324008e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.666
y[1] (analytic) = 0.1343791646754176206712702587531
y[1] (numeric) = 0.13437916467541762067127025875034
absolute error = 2.76e-30
relative error = 2.0538898323014319120637822704604e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.667
y[1] (analytic) = 0.13488029748169009507317905555476
y[1] (numeric) = 0.134880297481690095073179055552
absolute error = 2.76e-30
relative error = 2.0462588321134656799794292940860e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.668
y[1] (analytic) = 0.13538229540759299447885269692714
y[1] (numeric) = 0.13538229540759299447885269692438
absolute error = 2.76e-30
relative error = 2.0386712987030679351648232421297e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.669
y[1] (analytic) = 0.13588515795112843481855087466624
y[1] (numeric) = 0.13588515795112843481855087466348
absolute error = 2.76e-30
relative error = 2.0311269027575796822483875290553e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 0.13638888460943391446204381352019
y[1] (numeric) = 0.13638888460943391446204381351743
absolute error = 2.76e-30
relative error = 2.0236253180774915718170682955730e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.671
y[1] (analytic) = 0.13689347487878281708107199621201
y[1] (numeric) = 0.13689347487878281708107199620924
absolute error = 2.77e-30
relative error = 2.0234711716192424448378366506997e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.672
y[1] (analytic) = 0.13739892825458491537592051448244
y[1] (numeric) = 0.13739892825458491537592051447967
absolute error = 2.77e-30
relative error = 2.0160273702190008539022669085232e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.673
y[1] (analytic) = 0.1379052442313868756656043196207
y[1] (numeric) = 0.13790524423138687566560431961793
absolute error = 2.77e-30
relative error = 2.0086255714483954260689078780860e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.674
y[1] (analytic) = 0.13841242230287276334115978233976
y[1] (numeric) = 0.13841242230287276334115978233699
absolute error = 2.77e-30
relative error = 2.0012654600746109328827806498802e-27 %
Correct digits = 28
h = 0.001
memory used=934.6MB, alloc=4.6MB, time=41.63
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.675
y[1] (analytic) = 0.13892046196186454918153710874685
y[1] (numeric) = 0.13892046196186454918153710874408
absolute error = 2.77e-30
relative error = 1.9939467238169713056436374287165e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.676
y[1] (analytic) = 0.13942936270032261653158729655888
y[1] (numeric) = 0.13942936270032261653158729655611
absolute error = 2.77e-30
relative error = 1.9866690533138258955881182948029e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.677
y[1] (analytic) = 0.13993912400934626934163645361813
y[1] (numeric) = 0.13993912400934626934163645361536
absolute error = 2.77e-30
relative error = 1.9794321420898682634067059890579e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.678
y[1] (analytic) = 0.14044974537917424106813943917625
y[1] (numeric) = 0.14044974537917424106813943917347
absolute error = 2.78e-30
relative error = 1.9793556709517651004844938313311e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.679
y[1] (analytic) = 0.14096122629918520443490392733521
y[1] (numeric) = 0.14096122629918520443490392733243
absolute error = 2.78e-30
relative error = 1.9721735352241818447496047827360e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 0.14147356625789828205437513146384
y[1] (numeric) = 0.14147356625789828205437513146106
absolute error = 2.78e-30
relative error = 1.9650314002350218393200368660286e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.681
y[1] (analytic) = 0.14198676474297355790847056834754
y[1] (numeric) = 0.14198676474297355790847056834476
absolute error = 2.78e-30
relative error = 1.9579289696700922578399321419439e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.682
y[1] (analytic) = 0.14250082124121258968845338127921
y[1] (numeric) = 0.14250082124121258968845338127643
absolute error = 2.78e-30
relative error = 1.9508659499542572605705121862930e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.683
y[1] (analytic) = 0.14301573523855892199333188226066
y[1] (numeric) = 0.14301573523855892199333188225787
absolute error = 2.79e-30
relative error = 1.9508342878118346579974530625386e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.684
y[1] (analytic) = 0.14353150622009860038627211495777
y[1] (numeric) = 0.14353150622009860038627211495498
absolute error = 2.79e-30
relative error = 1.9438240937301043686735245905528e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.685
y[1] (analytic) = 0.1440481336700606863085093820397
y[1] (numeric) = 0.14404813367006068630850938203691
absolute error = 2.79e-30
relative error = 1.9368525845606845033587317586759e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.686
y[1] (analytic) = 0.14456561707181777285024382303346
y[1] (numeric) = 0.14456561707181777285024382303067
absolute error = 2.79e-30
relative error = 1.9299194763675894070093510688940e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.687
y[1] (analytic) = 0.14508395590788650137800427184128
y[1] (numeric) = 0.14508395590788650137800427183849
absolute error = 2.79e-30
relative error = 1.9230244878154309047683448580719e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.688
y[1] (analytic) = 0.14560314965992807901796376660002
y[1] (numeric) = 0.14560314965992807901796376659722
absolute error = 2.80e-30
relative error = 1.9230353234388838191905366660961e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=938.4MB, alloc=4.6MB, time=41.80
TOP MAIN SOLVE Loop
x[1] = 3.689
y[1] (analytic) = 0.14612319780874879699468922861014
y[1] (numeric) = 0.14612319780874879699468922860733
absolute error = 2.81e-30
relative error = 1.9230348378207731680930331485512e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 0.14664409983430054982480697162784
y[1] (numeric) = 0.14664409983430054982480697162503
absolute error = 2.81e-30
relative error = 1.9162039271782085822544158479326e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.691
y[1] (analytic) = 0.14716585521568135536506484789808
y[1] (numeric) = 0.14716585521568135536506484789526
absolute error = 2.82e-30
relative error = 1.9162053561045816751281544603698e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.692
y[1] (analytic) = 0.14768846343113587571427098290962
y[1] (numeric) = 0.1476884634311358757142709829068
absolute error = 2.82e-30
relative error = 1.9094247001323218442458308239286e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.693
y[1] (analytic) = 0.1482119239580559389685881969769
y[1] (numeric) = 0.14821192395805593896858819697408
absolute error = 2.82e-30
relative error = 1.9026809211369941104028371471242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.694
y[1] (analytic) = 0.14873623627298106182966235839766
y[1] (numeric) = 0.14873623627298106182966235839483
absolute error = 2.83e-30
relative error = 1.9026970635494617145756423613914e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.695
y[1] (analytic) = 0.14926139985159897306506206010156
y[1] (numeric) = 0.14926139985159897306506206009873
absolute error = 2.83e-30
relative error = 1.8960025852723392030740189913323e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.696
y[1] (analytic) = 0.14978741416874613782050615939381
y[1] (numeric) = 0.14978741416874613782050615939098
absolute error = 2.83e-30
relative error = 1.8893443188836976862105464502936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.697
y[1] (analytic) = 0.15031427869840828278335486860986
y[1] (numeric) = 0.15031427869840828278335486860703
absolute error = 2.83e-30
relative error = 1.8827220038610793734773934126240e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.698
y[1] (analytic) = 0.15084199291372092219683923323385
y[1] (numeric) = 0.15084199291372092219683923323102
absolute error = 2.83e-30
relative error = 1.8761353820210478828309881710764e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.699
y[1] (analytic) = 0.15137055628696988472450298329524
y[1] (numeric) = 0.15137055628696988472450298329241
absolute error = 2.83e-30
relative error = 1.8695841974940333730582638781830e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 0.1518999682895918411643298936456
y[1] (numeric) = 0.15189996828959184116432989364276
absolute error = 2.84e-30
relative error = 1.8696514765464873999927028520347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.701
y[1] (analytic) = 0.15243022839217483301202893903217
y[1] (numeric) = 0.15243022839217483301202893902933
absolute error = 2.84e-30
relative error = 1.8631475068666855081905379672713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.702
y[1] (analytic) = 0.1529613360644588018729486807272
y[1] (numeric) = 0.15296133606445880187294868072436
absolute error = 2.84e-30
relative error = 1.8566783430835145068384150481895e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.703
y[1] (analytic) = 0.15349329077533611972209147284263
y[1] (numeric) = 0.15349329077533611972209147283978
absolute error = 2.85e-30
relative error = 1.8567586802028149219502542126683e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=942.2MB, alloc=4.6MB, time=41.97
TOP MAIN SOLVE Loop
x[1] = 3.704
y[1] (analytic) = 0.15402609199285212001169722836019
y[1] (numeric) = 0.15402609199285212001169722835734
absolute error = 2.85e-30
relative error = 1.8503358509753398054196285840743e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.705
y[1] (analytic) = 0.15455973918420562962586563733747
y[1] (numeric) = 0.15455973918420562962586563733462
absolute error = 2.85e-30
relative error = 1.8439472109896261082764704579854e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.706
y[1] (analytic) = 0.15509423181574950168168488271192
y[1] (numeric) = 0.15509423181574950168168488270906
absolute error = 2.86e-30
relative error = 1.8440402112424485769427726052809e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.707
y[1] (analytic) = 0.15562956935299114917633405261855
y[1] (numeric) = 0.15562956935299114917633405261569
absolute error = 2.86e-30
relative error = 1.8376970468337492318069677294631e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.708
y[1] (analytic) = 0.15616575126059307947962560216348
y[1] (numeric) = 0.15616575126059307947962560216062
absolute error = 2.86e-30
relative error = 1.8313874693482125901097920005260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.709
y[1] (analytic) = 0.15670277700237342967145337215518
y[1] (numeric) = 0.15670277700237342967145337215232
absolute error = 2.86e-30
relative error = 1.8251112422574886903499033249617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 0.15724064604130650272361082739025
y[1] (numeric) = 0.15724064604130650272361082738739
absolute error = 2.86e-30
relative error = 1.8188681311120339621876892673736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.711
y[1] (analytic) = 0.15777935783952330452544333272003
y[1] (numeric) = 0.15777935783952330452544333271717
absolute error = 2.86e-30
relative error = 1.8126579035192255655052359975033e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.712
y[1] (analytic) = 0.15831891185831208175279744129053
y[1] (numeric) = 0.15831891185831208175279744128766
absolute error = 2.87e-30
relative error = 1.8127966939088830383407441592471e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.713
y[1] (analytic) = 0.15885930755811886057972932605126
y[1] (numeric) = 0.15885930755811886057972932604839
absolute error = 2.87e-30
relative error = 1.8066300578264872491026945804225e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.714
y[1] (analytic) = 0.15940054439854798623243364286944
y[1] (numeric) = 0.15940054439854798623243364286657
absolute error = 2.87e-30
relative error = 1.8004957328277126297726139771853e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.715
y[1] (analytic) = 0.15994262183836266338485327136558
y[1] (numeric) = 0.15994262183836266338485327136271
absolute error = 2.87e-30
relative error = 1.7943934937495334118583007817558e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.716
y[1] (analytic) = 0.16048553933548549739542953790584
y[1] (numeric) = 0.16048553933548549739542953790297
absolute error = 2.87e-30
relative error = 1.7883231173871904400035276067274e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.717
y[1] (analytic) = 0.161029296346999036384451684046
y[1] (numeric) = 0.16102929634699903638445168404312
absolute error = 2.88e-30
relative error = 1.7884944325869384370492166818989e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=946.0MB, alloc=4.6MB, time=42.14
x[1] = 3.718
y[1] (analytic) = 0.1615738923291463141514635031227
y[1] (numeric) = 0.16157389232914631415146350311982
absolute error = 2.88e-30
relative error = 1.7824661883697635011384395039534e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.719
y[1] (analytic) = 0.16211932673733139393218422763069
y[1] (numeric) = 0.16211932673733139393218422762781
absolute error = 2.88e-30
relative error = 1.7764692575279608926405000958460e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 0.16266559902611991299439991051033
y[1] (numeric) = 0.16266559902611991299439991050745
absolute error = 2.88e-30
relative error = 1.7705034237371517293936159149123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.721
y[1] (analytic) = 0.16321270864923962807228070449954
y[1] (numeric) = 0.16321270864923962807228070449666
absolute error = 2.88e-30
relative error = 1.7645684725381323933505867496150e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.722
y[1] (analytic) = 0.16376065505958096163857860527819
y[1] (numeric) = 0.1637606550595809616385786052753
absolute error = 2.89e-30
relative error = 1.7647706642041292931758540362518e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.723
y[1] (analytic) = 0.16430943770919754901415938625283
y[1] (numeric) = 0.16430943770919754901415938624994
absolute error = 2.89e-30
relative error = 1.7588764469603114445399384593601e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.724
y[1] (analytic) = 0.16485905604930678631432161549541
y[1] (numeric) = 0.16485905604930678631432161549252
absolute error = 2.89e-30
relative error = 1.7530125849656968984875166214418e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.725
y[1] (analytic) = 0.16540950953029037923135480856257
y[1] (numeric) = 0.16540950953029037923135480855967
absolute error = 2.90e-30
relative error = 1.7532244719394090571755399743167e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.726
y[1] (analytic) = 0.16596079760169489265278793468309
y[1] (numeric) = 0.16596079760169489265278793468019
absolute error = 2.90e-30
relative error = 1.7474006162346760349268575588601e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.727
y[1] (analytic) = 0.16651291971223230111477865811091
y[1] (numeric) = 0.16651291971223230111477865810801
absolute error = 2.90e-30
relative error = 1.7416066002636799818368010909314e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.728
y[1] (analytic) = 0.16706587530978054009009286130018
y[1] (numeric) = 0.16706587530978054009009286129727
absolute error = 2.91e-30
relative error = 1.7418278835244816902183207723594e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.729
y[1] (analytic) = 0.16761966384138405811012316196886
y[1] (numeric) = 0.16761966384138405811012316196595
absolute error = 2.91e-30
relative error = 1.7360731630828760040476404685028e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 0.16817428475325436972039430207837
y[1] (numeric) = 0.16817428475325436972039430207546
absolute error = 2.91e-30
relative error = 1.7303477783595497562201175365796e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.731
y[1] (analytic) = 0.16872973749077060926900245326993
y[1] (numeric) = 0.16872973749077060926900245326701
absolute error = 2.92e-30
relative error = 1.7305781680361600876866157088092e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.732
y[1] (analytic) = 0.16928602149848008552743465036443
y[1] (numeric) = 0.16928602149848008552743465036151
absolute error = 2.92e-30
relative error = 1.7248913845058476217950087573215e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=949.8MB, alloc=4.6MB, time=42.31
TOP MAIN SOLVE Loop
x[1] = 3.733
y[1] (analytic) = 0.16984313622009883714321373215271
y[1] (numeric) = 0.16984313622009883714321373214978
absolute error = 2.93e-30
relative error = 1.7251212296286311118729419872685e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.734
y[1] (analytic) = 0.17040108109851218892381333687744
y[1] (numeric) = 0.17040108109851218892381333687452
absolute error = 2.92e-30
relative error = 1.7136041515557586402947070682545e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.735
y[1] (analytic) = 0.17095985557577530895128666853817
y[1] (numeric) = 0.17095985557577530895128666853524
absolute error = 2.93e-30
relative error = 1.7138526410963905302548783481378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.736
y[1] (analytic) = 0.17151945909311376652705191943691
y[1] (numeric) = 0.17151945909311376652705191943398
absolute error = 2.93e-30
relative error = 1.7082609842008502694137468121942e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.737
y[1] (analytic) = 0.1720798910909240909462764042257
y[1] (numeric) = 0.17207989109092409094627640422277
absolute error = 2.93e-30
relative error = 1.7026974979033650006591250315072e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.738
y[1] (analytic) = 0.17264115100877433110130063111823
y[1] (numeric) = 0.1726411510087743311013006311153
absolute error = 2.93e-30
relative error = 1.6971619934641685674164786314585e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.739
y[1] (analytic) = 0.17320323828540461591354270688833
y[1] (numeric) = 0.1732032382854046159135427068854
absolute error = 2.93e-30
relative error = 1.6916542837218439235868554283501e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 0.17376615235872771559332264379747
y[1] (numeric) = 0.17376615235872771559332264379453
absolute error = 2.94e-30
relative error = 1.6919290437706082090266631423588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.741
y[1] (analytic) = 0.17432989266582960372704530867383
y[1] (numeric) = 0.17432989266582960372704530867089
absolute error = 2.94e-30
relative error = 1.6864577583579670837524160414630e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.742
y[1] (analytic) = 0.17489445864297002019117992700684
y[1] (numeric) = 0.17489445864297002019117992700389
absolute error = 2.95e-30
relative error = 1.6867315424910844577328308665804e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.743
y[1] (analytic) = 0.17545984972558303489247322812444
y[1] (numeric) = 0.17545984972558303489247322812149
absolute error = 2.95e-30
relative error = 1.6812963219869174294067675126413e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.744
y[1] (analytic) = 0.17602606534827761233383249128714
y[1] (numeric) = 0.17602606534827761233383249128419
absolute error = 2.95e-30
relative error = 1.6758881669957552630639969196426e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.745
y[1] (analytic) = 0.17659310494483817700531392686265
y[1] (numeric) = 0.1765931049448381770053139268597
absolute error = 2.95e-30
relative error = 1.6705068982854580071777122135365e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.746
y[1] (analytic) = 0.17716096794822517959965100163996
y[1] (numeric) = 0.17716096794822517959965100163701
absolute error = 2.95e-30
relative error = 1.6651523381053831408542959859315e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=953.7MB, alloc=4.6MB, time=42.49
x[1] = 3.747
y[1] (analytic) = 0.17772965379057566405175649280168
y[1] (numeric) = 0.17772965379057566405175649279872
absolute error = 2.96e-30
relative error = 1.6654508332570429401123182347133e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.748
y[1] (analytic) = 0.17829916190320383540163123109981
y[1] (numeric) = 0.17829916190320383540163123109685
absolute error = 2.96e-30
relative error = 1.6601311909738214698753772026174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.749
y[1] (analytic) = 0.17886949171660162848011167037361
y[1] (numeric) = 0.17886949171660162848011167037065
absolute error = 2.96e-30
relative error = 1.6548378214714130441792619984402e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 0.17944064266043927741688759770929
y[1] (numeric) = 0.17944064266043927741688759770632
absolute error = 2.97e-30
relative error = 1.6551434256843456451728408622506e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.751
y[1] (analytic) = 0.18001261416356588597022047627128
y[1] (numeric) = 0.18001261416356588597022047626831
absolute error = 2.97e-30
relative error = 1.6498843782699316833422142742008e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.752
y[1] (analytic) = 0.18058540565400999867779209113439
y[1] (numeric) = 0.18058540565400999867779209113142
absolute error = 2.97e-30
relative error = 1.6446511772331860692302059113006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.753
y[1] (analytic) = 0.18115901655898017282811234731561
y[1] (numeric) = 0.18115901655898017282811234731264
absolute error = 2.97e-30
relative error = 1.6394436536549939260984920243252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.754
y[1] (analytic) = 0.18173344630486555125191424864561
y[1] (numeric) = 0.18173344630486555125191424864263
absolute error = 2.98e-30
relative error = 1.6397642044386941404866163029943e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.755
y[1] (analytic) = 0.18230869431723643593296326613252
y[1] (numeric) = 0.18230869431723643593296326612954
absolute error = 2.98e-30
relative error = 1.6345901719939282743454723390721e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.756
y[1] (analytic) = 0.18288476002084486243770748505661
y[1] (numeric) = 0.18288476002084486243770748505363
absolute error = 2.98e-30
relative error = 1.6294414032423178295398087496344e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.757
y[1] (analytic) = 0.18346164283962517516319410119339
y[1] (numeric) = 0.1834616428396251751631941011904
absolute error = 2.99e-30
relative error = 1.6297684647977006946704456884438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.758
y[1] (analytic) = 0.18403934219669460340267701829671
y[1] (numeric) = 0.18403934219669460340267701829372
absolute error = 2.99e-30
relative error = 1.6246526228095273057940025021841e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.759
y[1] (analytic) = 0.18461785751435383822833948128228
y[1] (numeric) = 0.18461785751435383822833948127929
absolute error = 2.99e-30
relative error = 1.6195616395166598346292346164873e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 0.18519718821408761019055486243691
y[1] (numeric) = 0.18519718821408761019055486243391
absolute error = 3.00e-30
relative error = 1.6198950043085997059952838851339e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.761
y[1] (analytic) = 0.18577733371656526783310790144095
y[1] (numeric) = 0.18577733371656526783310790143795
absolute error = 3.00e-30
relative error = 1.6148363957989660963518257632063e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=957.5MB, alloc=4.6MB, time=42.66
TOP MAIN SOLVE Loop
x[1] = 3.762
y[1] (analytic) = 0.18635829344164135702379788403092
y[1] (numeric) = 0.18635829344164135702379788402792
absolute error = 3.00e-30
relative error = 1.6098022495250305280474050321968e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.763
y[1] (analytic) = 0.18694006680835620109984442874728
y[1] (numeric) = 0.18694006680835620109984442874428
absolute error = 3.00e-30
relative error = 1.6047924081868897241331611776599e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.764
y[1] (analytic) = 0.18752265323493648182751573641007
y[1] (numeric) = 0.18752265323493648182751573640706
absolute error = 3.01e-30
relative error = 1.6051394047997720861683250602789e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.765
y[1] (analytic) = 0.18810605213879582117539834274242
y[1] (numeric) = 0.18810605213879582117539834273941
absolute error = 3.01e-30
relative error = 1.6001611674775052784956410596669e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.766
y[1] (analytic) = 0.18869026293653536390072660092088
y[1] (numeric) = 0.18869026293653536390072660091786
absolute error = 3.02e-30
relative error = 1.6005065407194623772466074862233e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.767
y[1] (analytic) = 0.18927528504394436094818930777132
y[1] (numeric) = 0.1892752850439443609481893077683
absolute error = 3.02e-30
relative error = 1.5955596100668090531781365788923e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.768
y[1] (analytic) = 0.18986111787600075366063007485276
y[1] (numeric) = 0.18986111787600075366063007484973
absolute error = 3.03e-30
relative error = 1.5959033813226087529646569298212e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.769
y[1] (analytic) = 0.19044776084687175880105723377708
y[1] (numeric) = 0.19044776084687175880105723377405
absolute error = 3.03e-30
relative error = 1.5909874637151817819915066280516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 0.19103521336991445438537825380378
y[1] (numeric) = 0.19103521336991445438537825380075
absolute error = 3.03e-30
relative error = 1.5860950170128086656900246102876e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.771
y[1] (analytic) = 0.19162347485767636632527283902394
y[1] (numeric) = 0.19162347485767636632527283902091
absolute error = 3.03e-30
relative error = 1.5812258922089050657271183555060e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.772
y[1] (analytic) = 0.19221254472189605588061806230931
y[1] (numeric) = 0.19221254472189605588061806230628
absolute error = 3.03e-30
relative error = 1.5763799414777920928920350198560e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.773
y[1] (analytic) = 0.19280242237350370792087808365031
y[1] (numeric) = 0.19280242237350370792087808364728
absolute error = 3.03e-30
relative error = 1.5715570181634835816889278235932e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.774
y[1] (analytic) = 0.19339310722262171999487019154226
y[1] (numeric) = 0.19339310722262171999487019153922
absolute error = 3.04e-30
relative error = 1.5719277918734442343149050845666e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.775
y[1] (analytic) = 0.19398459867856529220831809770282
y[1] (numeric) = 0.19398459867856529220831809769978
absolute error = 3.04e-30
relative error = 1.5671347213689448162502097049461e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=961.3MB, alloc=4.6MB, time=42.83
x[1] = 3.776
y[1] (analytic) = 0.19457689614984301790860260761667
y[1] (numeric) = 0.19457689614984301790860260761362
absolute error = 3.05e-30
relative error = 1.5675036761051040643056741451342e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.777
y[1] (analytic) = 0.19516999904415747517611898220569
y[1] (numeric) = 0.19516999904415747517611898220264
absolute error = 3.05e-30
relative error = 1.5627401828853487833830268799140e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.778
y[1] (analytic) = 0.19576390676840581912164949931696
y[1] (numeric) = 0.1957639067684058191216494993139
absolute error = 3.06e-30
relative error = 1.5631073421619367482941034939720e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.779
y[1] (analytic) = 0.19635861872868037498915891770495
y[1] (numeric) = 0.1963586187286803749891589177019
absolute error = 3.05e-30
relative error = 1.5532804313592950262757827186448e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 0.19695413433026923206341974076229
y[1] (numeric) = 0.19695413433026923206341974075923
absolute error = 3.06e-30
relative error = 1.5536612168134206466380303758396e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.781
y[1] (analytic) = 0.19755045297765683838187337242291
y[1] (numeric) = 0.19755045297765683838187337241985
absolute error = 3.06e-30
relative error = 1.5489713912962220245457293368064e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.782
y[1] (analytic) = 0.19814757407452459625013245342639
y[1] (numeric) = 0.19814757407452459625013245342333
absolute error = 3.06e-30
relative error = 1.5443035395674912589446200638649e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.783
y[1] (analytic) = 0.19874549702375145856052886249046
y[1] (numeric) = 0.1987454970237514585605288624874
absolute error = 3.06e-30
relative error = 1.5396575247359233910282167224230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.784
y[1] (analytic) = 0.19934422122741452591311106389352
y[1] (numeric) = 0.19934422122741452591311106389045
absolute error = 3.07e-30
relative error = 1.5400496593767337595916157162573e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.785
y[1] (analytic) = 0.19994374608678964453849368051954
y[1] (numeric) = 0.19994374608678964453849368051647
absolute error = 3.07e-30
relative error = 1.5354318702558489314660550739067e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.786
y[1] (analytic) = 0.20054407100235200502196136956567
y[1] (numeric) = 0.2005440710023520050219613695626
absolute error = 3.07e-30
relative error = 1.5308355837475717096579162721897e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.787
y[1] (analytic) = 0.20114519537377674182822827685841
y[1] (numeric) = 0.20114519537377674182822827685534
absolute error = 3.07e-30
relative error = 1.5262606667264373917080785904292e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.788
y[1] (analytic) = 0.20174711859993953362625354506903
y[1] (numeric) = 0.20174711859993953362625354506596
absolute error = 3.07e-30
relative error = 1.5217069870959337314838574086074e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.789
y[1] (analytic) = 0.20234984007891720441351255106264
y[1] (numeric) = 0.20234984007891720441351255105957
absolute error = 3.07e-30
relative error = 1.5171744137789722821468688645900e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 0.20295335920798832543912274815984
y[1] (numeric) = 0.20295335920798832543912274815677
absolute error = 3.07e-30
relative error = 1.5126628167084625280766119882148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=965.1MB, alloc=4.6MB, time=43.00
TOP MAIN SOLVE Loop
x[1] = 3.791
y[1] (analytic) = 0.20355767538363381792522219023519
y[1] (numeric) = 0.20355767538363381792522219023211
absolute error = 3.08e-30
relative error = 1.5130846794134858712276192624381e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.792
y[1] (analytic) = 0.20416278800153755658599801632427
y[1] (numeric) = 0.20416278800153755658599801632119
absolute error = 3.08e-30
relative error = 1.5086000882672137196649545988314e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.793
y[1] (analytic) = 0.20476869645658697394376137676112
y[1] (numeric) = 0.20476869645658697394376137675804
absolute error = 3.08e-30
relative error = 1.5041361562083250461166197990252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.794
y[1] (analytic) = 0.20537540014287366544146448482149
y[1] (numeric) = 0.20537540014287366544146448481841
absolute error = 3.08e-30
relative error = 1.4996927567066620384588649586026e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.795
y[1] (analytic) = 0.20598289845369399535105468140523
y[1] (numeric) = 0.20598289845369399535105468140215
absolute error = 3.08e-30
relative error = 1.4952697641995748916624400507950e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.796
y[1] (analytic) = 0.20659119078154970347705960445438
y[1] (numeric) = 0.20659119078154970347705960445129
absolute error = 3.09e-30
relative error = 1.4957075315313795435480358053408e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.797
y[1] (analytic) = 0.20720027651814851265479675957212
y[1] (numeric) = 0.20720027651814851265479675956903
absolute error = 3.09e-30
relative error = 1.4913107510883795947137072596380e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.798
y[1] (analytic) = 0.20781015505440473704259999368395
y[1] (numeric) = 0.20781015505440473704259999368086
absolute error = 3.09e-30
relative error = 1.4869340717209115349937604756353e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.799
y[1] (analytic) = 0.20842082578043989120745457956499
y[1] (numeric) = 0.20842082578043989120745457956189
absolute error = 3.10e-30
relative error = 1.4873753562735054847098718860463e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 0.20903228808558330000343182564927
y[1] (numeric) = 0.20903228808558330000343182564618
absolute error = 3.09e-30
relative error = 1.4782405284368666403228387735964e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.801
y[1] (analytic) = 0.20964454135837270924231333273727
y[1] (numeric) = 0.20964454135837270924231333273417
absolute error = 3.10e-30
relative error = 1.4786934016568389420142660128774e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.802
y[1] (analytic) = 0.21025758498655489715579422702805
y[1] (numeric) = 0.21025758498655489715579422702495
absolute error = 3.10e-30
relative error = 1.4743820063367664843427373763835e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.803
y[1] (analytic) = 0.21087141835708628664865390732412
y[1] (numeric) = 0.21087141835708628664865390732102
absolute error = 3.10e-30
relative error = 1.4700901735058800567467609868847e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.804
y[1] (analytic) = 0.21148604085613355834228205328893
y[1] (numeric) = 0.21148604085613355834228205328582
absolute error = 3.11e-30
relative error = 1.4705462296282819599890014737329e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.805
y[1] (analytic) = 0.21210145186907426440794685128228
y[1] (numeric) = 0.21210145186907426440794685127916
absolute error = 3.12e-30
relative error = 1.4709941740172103785731174718060e-27 %
memory used=968.9MB, alloc=4.6MB, time=43.17
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.806
y[1] (analytic) = 0.21271765078049744318919160455653
y[1] (numeric) = 0.21271765078049744318919160455341
absolute error = 3.12e-30
relative error = 1.4667330090155595298376334465700e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.807
y[1] (analytic) = 0.21333463697420423461274510546823
y[1] (numeric) = 0.2133346369742042346127451054651
absolute error = 3.13e-30
relative error = 1.4671785343410830809114184190174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.808
y[1] (analytic) = 0.21395240983320849638733035884598
y[1] (numeric) = 0.21395240983320849638733035884285
absolute error = 3.13e-30
relative error = 1.4629421572956636576970850825620e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.809
y[1] (analytic) = 0.21457096873973742098975545775732
y[1] (numeric) = 0.21457096873973742098975545775419
absolute error = 3.13e-30
relative error = 1.4587248304762583536919794846451e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 0.21519031307523215343766962563504
y[1] (numeric) = 0.21519031307523215343766962563191
absolute error = 3.13e-30
relative error = 1.4545264400009160434963618534449e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.811
y[1] (analytic) = 0.21581044222034840984836665205846
y[1] (numeric) = 0.21581044222034840984836665205532
absolute error = 3.14e-30
relative error = 1.4549805689170375976471931710468e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.812
y[1] (analytic) = 0.21643135555495709678301716343765
y[1] (numeric) = 0.2164313555549570967830171634345
absolute error = 3.15e-30
relative error = 1.4554268220161563756498258347148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.813
y[1] (analytic) = 0.2170530524581449313757103844201
y[1] (numeric) = 0.21705305245814493137571038441695
absolute error = 3.15e-30
relative error = 1.4512580976521512281831963173721e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.814
y[1] (analytic) = 0.21767553230821506224668526102968
y[1] (numeric) = 0.21767553230821506224668526102653
absolute error = 3.15e-30
relative error = 1.4471079806708800126412448844241e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.815
y[1] (analytic) = 0.21829879448268769119913003235841
y[1] (numeric) = 0.21829879448268769119913003235526
absolute error = 3.15e-30
relative error = 1.4429763606641504030301609732813e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.816
y[1] (analytic) = 0.21892283835830069569892855406348
y[1] (numeric) = 0.21892283835830069569892855406033
absolute error = 3.15e-30
relative error = 1.4388631280417365145207431134383e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.817
y[1] (analytic) = 0.2195476633110102521367308939749
y[1] (numeric) = 0.21954766331101025213673089397175
absolute error = 3.15e-30
relative error = 1.4347681740241178902414557052117e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.818
y[1] (analytic) = 0.22017326871599145987172493779519
y[1] (numeric) = 0.22017326871599145987172493779204
absolute error = 3.15e-30
relative error = 1.4306913906352935752088116922861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.819
y[1] (analytic) = 0.22079965394763896605648496117154
y[1] (numeric) = 0.22079965394763896605648496116838
absolute error = 3.16e-30
relative error = 1.4311616633010534718988459198227e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=972.7MB, alloc=4.6MB, time=43.35
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 0.2214268183795675912422723433438
y[1] (numeric) = 0.22142681837956759124227234334065
absolute error = 3.15e-30
relative error = 1.4225919078150245388519397277967e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.821
y[1] (analytic) = 0.22205476138461295576416281711999
y[1] (numeric) = 0.22205476138461295576416281711684
absolute error = 3.15e-30
relative error = 1.4185689963855356622808782249673e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.822
y[1] (analytic) = 0.22268348233483210690537387010391
y[1] (numeric) = 0.22268348233483210690537387010075
absolute error = 3.16e-30
relative error = 1.4190545104052890122646065526797e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.823
y[1] (analytic) = 0.22331298060150414684016513290004
y[1] (numeric) = 0.22331298060150414684016513289688
absolute error = 3.16e-30
relative error = 1.4150543293490550925092422840578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.824
y[1] (analytic) = 0.22394325555513086135468381144753
y[1] (numeric) = 0.22394325555513086135468381144436
absolute error = 3.17e-30
relative error = 1.4155371601354621598870566534657e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.825
y[1] (analytic) = 0.22457430656543734934512644269017
y[1] (numeric) = 0.224574306565437349345126442687
absolute error = 3.17e-30
relative error = 1.4115595183086150894069475819065e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.826
y[1] (analytic) = 0.22520613300137265309258747547322
y[1] (numeric) = 0.22520613300137265309258747547005
absolute error = 3.17e-30
relative error = 1.4075993214539492778302010296971e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.827
y[1] (analytic) = 0.22583873423111038931396440187089
y[1] (numeric) = 0.22583873423111038931396440186772
absolute error = 3.17e-30
relative error = 1.4036564678741088198207422835385e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.828
y[1] (analytic) = 0.22647210962204938098828838809201
y[1] (numeric) = 0.22647210962204938098828838808884
absolute error = 3.17e-30
relative error = 1.3997308566120090624240758499802e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.829
y[1] (analytic) = 0.22710625854081428995784857868584
y[1] (numeric) = 0.22710625854081428995784857868266
absolute error = 3.18e-30
relative error = 1.4002256126413653450208601298660e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 0.22774118035325625030347747297652
y[1] (numeric) = 0.22774118035325625030347747297334
absolute error = 3.18e-30
relative error = 1.3963219102787671415346755477648e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.831
y[1] (analytic) = 0.22837687442445350249336399849352
y[1] (numeric) = 0.22837687442445350249336399849034
absolute error = 3.18e-30
relative error = 1.3924352051905921094348073142504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.832
y[1] (analytic) = 0.22901334011871202830476013263783
y[1] (numeric) = 0.22901334011871202830476013263465
absolute error = 3.18e-30
relative error = 1.3885653990075887502885228296544e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.833
y[1] (analytic) = 0.22965057679956618651794615093024
y[1] (numeric) = 0.22965057679956618651794615092706
absolute error = 3.18e-30
relative error = 1.3847123940713773417586087501413e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.834
y[1] (analytic) = 0.23028858382977934938181880792939
y[1] (numeric) = 0.2302885838297793493818188079262
absolute error = 3.19e-30
relative error = 1.3852184710805846519758848644021e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=976.5MB, alloc=4.6MB, time=43.52
TOP MAIN SOLVE Loop
x[1] = 3.835
y[1] (analytic) = 0.23092736057134453985046598528447
y[1] (numeric) = 0.23092736057134453985046598528128
absolute error = 3.19e-30
relative error = 1.3813867668636241861110771186988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.836
y[1] (analytic) = 0.23156690638548506959009057040104
y[1] (numeric) = 0.23156690638548506959009057039785
absolute error = 3.19e-30
relative error = 1.3775716270483257460025045905934e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.837
y[1] (analytic) = 0.2322072206326551777556455588492
y[1] (numeric) = 0.23220722063265517775564555884601
absolute error = 3.19e-30
relative error = 1.3737729564605072401908048553821e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.838
y[1] (analytic) = 0.23284830267254067053654160393234
y[1] (numeric) = 0.23284830267254067053654160392914
absolute error = 3.20e-30
relative error = 1.3742853021781418932769316541942e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.839
y[1] (analytic) = 0.23349015186405956147078746776205
y[1] (numeric) = 0.23349015186405956147078746775885
absolute error = 3.20e-30
relative error = 1.3705074815588256075599857017701e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 0.23413276756536271252692305975232
y[1] (numeric) = 0.23413276756536271252692305974912
absolute error = 3.20e-30
relative error = 1.3667458994634989768188531347568e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.841
y[1] (analytic) = 0.23477614913383447595310398065324
y[1] (numeric) = 0.23477614913383447595310398065004
absolute error = 3.20e-30
relative error = 1.3630004631244869226213275439255e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.842
y[1] (analytic) = 0.23542029592609333689269572309318
y[1] (numeric) = 0.23542029592609333689269572308998
absolute error = 3.20e-30
relative error = 1.3592710804358991622934561805841e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.843
y[1] (analytic) = 0.23606520729799255676573491308887
y[1] (numeric) = 0.23606520729799255676573491308566
absolute error = 3.21e-30
relative error = 1.3597937776353106348633434063273e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.844
y[1] (analytic) = 0.23671088260462081741561421111565
y[1] (numeric) = 0.23671088260462081741561421111244
absolute error = 3.21e-30
relative error = 1.3560846737079158705425863147100e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.845
y[1] (analytic) = 0.23735732120030286602034672610679
y[1] (numeric) = 0.23735732120030286602034672610358
absolute error = 3.21e-30
relative error = 1.3523914003440918787999308144242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.846
y[1] (analytic) = 0.2380045224386001607677650311711
y[1] (numeric) = 0.23800452243860016076776503116789
absolute error = 3.21e-30
relative error = 1.3487138677493441942898187950225e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.847
y[1] (analytic) = 0.23865248567231151729400910588366
y[1] (numeric) = 0.23865248567231151729400910588044
absolute error = 3.22e-30
relative error = 1.3492421798704042107680219409035e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.848
y[1] (analytic) = 0.23930121025347375588465676671558
y[1] (numeric) = 0.23930121025347375588465676671236
absolute error = 3.22e-30
relative error = 1.3455845027232818514981248429778e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=980.4MB, alloc=4.6MB, time=43.69
x[1] = 3.849
y[1] (analytic) = 0.2399506955333623494378493845264
y[1] (numeric) = 0.23995069553336234943784938452318
absolute error = 3.22e-30
relative error = 1.3419423489657259627670344878298e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 0.24060094086249207218876492604721
y[1] (numeric) = 0.24060094086249207218876492604399
absolute error = 3.22e-30
relative error = 1.3383156310433092162434679649371e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.851
y[1] (analytic) = 0.24125194559061764919478959493572
y[1] (numeric) = 0.2412519455906176491947895949325
absolute error = 3.22e-30
relative error = 1.3347042620182817858587457774032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.852
y[1] (analytic) = 0.24190370906673440658073858728557
y[1] (numeric) = 0.24190370906673440658073858728234
absolute error = 3.23e-30
relative error = 1.3352420318238833426261086276723e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.853
y[1] (analytic) = 0.24255623063907892254347571642347
y[1] (numeric) = 0.24255623063907892254347571642025
absolute error = 3.22e-30
relative error = 1.3275272259616062254320471169149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.854
y[1] (analytic) = 0.24320950965512967911528090242875
y[1] (numeric) = 0.24320950965512967911528090242553
absolute error = 3.22e-30
relative error = 1.3239613880912592141237021482798e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.855
y[1] (analytic) = 0.24386354546160771468531376306203
y[1] (numeric) = 0.2438635454616077146853137630588
absolute error = 3.23e-30
relative error = 1.3245112113358124383051963406945e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.856
y[1] (analytic) = 0.24451833740447727727852078469398
y[1] (numeric) = 0.24451833740447727727852078469075
absolute error = 3.23e-30
relative error = 1.3209643228748932122072233875072e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.857
y[1] (analytic) = 0.24517388482894647859133279438131
y[1] (numeric) = 0.24517388482894647859133279437809
absolute error = 3.22e-30
relative error = 1.3133535825997689564627951805707e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.858
y[1] (analytic) = 0.24583018707946794878349869744711
y[1] (numeric) = 0.24583018707946794878349869744388
absolute error = 3.23e-30
relative error = 1.3139151209919791520930865438064e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.859
y[1] (analytic) = 0.24648724349973949202540068878619
y[1] (numeric) = 0.24648724349973949202540068878296
absolute error = 3.23e-30
relative error = 1.3104126421063302326364993090306e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 0.24714505343270474280019539063516
y[1] (numeric) = 0.24714505343270474280019539063193
absolute error = 3.23e-30
relative error = 1.3069248019076774307569981063379e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.861
y[1] (analytic) = 0.24780361622055382296012461472043
y[1] (numeric) = 0.24780361622055382296012461471719
absolute error = 3.24e-30
relative error = 1.3074869727148321745925758479458e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.862
y[1] (analytic) = 0.2484629312047239995363386925284
y[1] (numeric) = 0.24846293120472399953633869252516
absolute error = 3.24e-30
relative error = 1.3040174581738164011976742345677e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.863
y[1] (analytic) = 0.24912299772590034330157456392924
y[1] (numeric) = 0.249122997725900343301574563926
absolute error = 3.24e-30
relative error = 1.3005623846758768660713667677642e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=984.2MB, alloc=4.6MB, time=43.86
TOP MAIN SOLVE Loop
x[1] = 3.864
y[1] (analytic) = 0.24978381512401638808503006153098
y[1] (numeric) = 0.24978381512401638808503006152773
absolute error = 3.25e-30
relative error = 1.3011251343031939855553420657731e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.865
y[1] (analytic) = 0.25044538273825479083877507594465
y[1] (numeric) = 0.2504453827382547908387750759414
absolute error = 3.25e-30
relative error = 1.2976881284318331817777159356597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.866
y[1] (analytic) = 0.25110769990704799245503953560437
y[1] (numeric) = 0.25110769990704799245503953560112
absolute error = 3.25e-30
relative error = 1.2942653694821168940230935678683e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.867
y[1] (analytic) = 0.25177076596807887933371738390926
y[1] (numeric) = 0.251770765968078879333717383906
absolute error = 3.26e-30
relative error = 1.2948286459967015449721436176000e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.868
y[1] (analytic) = 0.25243458025828144569942498623857
y[1] (numeric) = 0.25243458025828144569942498623531
absolute error = 3.26e-30
relative error = 1.2914237014059215634814217705172e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.869
y[1] (analytic) = 0.25309914211384145666745164983668
y[1] (numeric) = 0.25309914211384145666745164983342
absolute error = 3.26e-30
relative error = 1.2880328130601425283605186337737e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 0.25376445087019711205793919067272
y[1] (numeric) = 0.25376445087019711205793919066946
absolute error = 3.26e-30
relative error = 1.2846559038592527143715233166553e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.871
y[1] (analytic) = 0.25443050586203971095762673315058
y[1] (numeric) = 0.25443050586203971095762673314732
absolute error = 3.26e-30
relative error = 1.2812928972313073906710346805326e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.872
y[1] (analytic) = 0.25509730642331431702849618097992
y[1] (numeric) = 0.25509730642331431702849618097665
absolute error = 3.27e-30
relative error = 1.2818637898801201188041445544801e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.873
y[1] (analytic) = 0.25576485188722042456265305061803
y[1] (numeric) = 0.25576485188722042456265305061476
absolute error = 3.27e-30
relative error = 1.2785181293956322498221546704625e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.874
y[1] (analytic) = 0.25643314158621262528277661245743
y[1] (numeric) = 0.25643314158621262528277661245415
absolute error = 3.28e-30
relative error = 1.2790858387925129087718760067227e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.875
y[1] (analytic) = 0.25710217485200127588747253936436
y[1] (numeric) = 0.25710217485200127588747253936108
absolute error = 3.28e-30
relative error = 1.2757573917405034253588884876235e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.876
y[1] (analytic) = 0.25777195101555316634086051727142
y[1] (numeric) = 0.25777195101555316634086051726814
absolute error = 3.28e-30
relative error = 1.2724425551646210307821081131887e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.877
y[1] (analytic) = 0.25844246940709218890572852829219
y[1] (numeric) = 0.2584424694070921889057285282889
absolute error = 3.29e-30
relative error = 1.2730105882163172382587414130051e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=988.0MB, alloc=4.6MB, time=44.03
x[1] = 3.878
y[1] (analytic) = 0.25911372935610000791958477325947
y[1] (numeric) = 0.25911372935610000791958477325618
absolute error = 3.29e-30
relative error = 1.2697127273709811328738819411712e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.879
y[1] (analytic) = 0.25978573019131673031293745769102
y[1] (numeric) = 0.25978573019131673031293745768772
absolute error = 3.30e-30
relative error = 1.2702776236284211548406537937746e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 0.26045847124074157686913192295872
y[1] (numeric) = 0.26045847124074157686913192295542
absolute error = 3.30e-30
relative error = 1.2669966095861064865131486434214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.881
y[1] (analytic) = 0.26113195183163355422507386288021
y[1] (numeric) = 0.26113195183163355422507386287691
absolute error = 3.30e-30
relative error = 1.2637289220461598166580956211761e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.882
y[1] (analytic) = 0.26180617129051212761216662506563
y[1] (numeric) = 0.26180617129051212761216662506232
absolute error = 3.31e-30
relative error = 1.2642941087615051997233752410516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.883
y[1] (analytic) = 0.26248112894315789433678985613818
y[1] (numeric) = 0.26248112894315789433678985613487
absolute error = 3.31e-30
relative error = 1.2610430370088828045063549551292e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.884
y[1] (analytic) = 0.2631568241146132579996460104062
y[1] (numeric) = 0.26315682411461325799964601040289
absolute error = 3.31e-30
relative error = 1.2578051172096485614523739626051e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.885
y[1] (analytic) = 0.26383325612918310345330050269618
y[1] (numeric) = 0.26383325612918310345330050269287
absolute error = 3.31e-30
relative error = 1.2545802786815071791731072859086e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.886
y[1] (analytic) = 0.26451042431043547249724054786296
y[1] (numeric) = 0.26451042431043547249724054785964
absolute error = 3.32e-30
relative error = 1.2551490205556406380013250806665e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.887
y[1] (analytic) = 0.26518832798120224030977699197455
y[1] (numeric) = 0.26518832798120224030977699197123
absolute error = 3.32e-30
relative error = 1.2519404701082231496386190867044e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.888
y[1] (analytic) = 0.26586696646357979261611270332611
y[1] (numeric) = 0.26586696646357979261611270332279
absolute error = 3.32e-30
relative error = 1.2487448306048940671995347507637e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.889
y[1] (analytic) = 0.2665463390789297035919003552711
y[1] (numeric) = 0.26654633907892970359190035526777
absolute error = 3.33e-30
relative error = 1.2493137259011163455572062509956e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 0.26722644514787941450161169736831
y[1] (numeric) = 0.26722644514787941450161169736499
absolute error = 3.32e-30
relative error = 1.2423920088308468016801749748132e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.891
y[1] (analytic) = 0.26790728399032291307103967653217
y[1] (numeric) = 0.26790728399032291307103967652885
absolute error = 3.32e-30
relative error = 1.2392346899085886064211251623640e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.892
y[1] (analytic) = 0.2685888549254214135932540357406
y[1] (numeric) = 0.26858885492542141359325403573728
absolute error = 3.32e-30
relative error = 1.2360900086199996850739842139050e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=991.8MB, alloc=4.6MB, time=44.20
TOP MAIN SOLVE Loop
x[1] = 3.893
y[1] (analytic) = 0.26927115727160403776733028440172
y[1] (numeric) = 0.2692711572716040377673302843984
absolute error = 3.32e-30
relative error = 1.2329578977711439646253611289957e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.894
y[1] (analytic) = 0.26995419034656849626917120170704
y[1] (numeric) = 0.26995419034656849626917120170371
absolute error = 3.33e-30
relative error = 1.2335426228149783047526824181142e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.895
y[1] (analytic) = 0.27063795346728177105373930220644
y[1] (numeric) = 0.27063795346728177105373930220311
absolute error = 3.33e-30
relative error = 1.2304260941001290960775068563378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.896
y[1] (analytic) = 0.27132244594998079838801796142943
y[1] (numeric) = 0.2713224459499807983880179614261
absolute error = 3.33e-30
relative error = 1.2273219741701343252258302313313e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.897
y[1] (analytic) = 0.27200766711017315261401816864832
y[1] (numeric) = 0.27200766711017315261401816864499
absolute error = 3.33e-30
relative error = 1.2242301973977913630919952851168e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.898
y[1] (analytic) = 0.27269361626263773064114714383367
y[1] (numeric) = 0.27269361626263773064114714383034
absolute error = 3.33e-30
relative error = 1.2211506985894372816986617969310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.899
y[1] (analytic) = 0.27338029272142543716725432649041
y[1] (numeric) = 0.27338029272142543716725432648707
absolute error = 3.34e-30
relative error = 1.2217413211286083976364134972919e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 0.27406769579985987062766951538565
y[1] (numeric) = 0.27406769579985987062766951538231
absolute error = 3.34e-30
relative error = 1.2186770097994554396675333727467e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.901
y[1] (analytic) = 0.27475582481053800987154721018736
y[1] (numeric) = 0.27475582481053800987154721018402
absolute error = 3.34e-30
relative error = 1.2156248197115191191745836060047e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.902
y[1] (analytic) = 0.27544467906533090156483047872668
y[1] (numeric) = 0.27544467906533090156483047872334
absolute error = 3.34e-30
relative error = 1.2125846871806180331506141921171e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.903
y[1] (analytic) = 0.27613425787538434831914694697731
y[1] (numeric) = 0.27613425787538434831914694697397
absolute error = 3.34e-30
relative error = 1.2095565489405145724116051289290e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.904
y[1] (analytic) = 0.27682456055111959754594878291335
y[1] (numeric) = 0.27682456055111959754594878291
absolute error = 3.35e-30
relative error = 1.2101527383735789550552354032025e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.905
y[1] (analytic) = 0.27751558640223403103520782016299
y[1] (numeric) = 0.27751558640223403103520782015964
absolute error = 3.35e-30
relative error = 1.2071394055483696360204964081667e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.906
y[1] (analytic) = 0.27820733473770185525797624282045
y[1] (numeric) = 0.2782073347377018552579762428171
absolute error = 3.35e-30
relative error = 1.2041379150403893597148427232200e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=995.6MB, alloc=4.6MB, time=44.37
x[1] = 3.907
y[1] (analytic) = 0.27889980486577479239212252891286
y[1] (numeric) = 0.27889980486577479239212252890951
absolute error = 3.35e-30
relative error = 1.2011482050380937598327381802163e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.908
y[1] (analytic) = 0.27959299609398277207055162684394
y[1] (numeric) = 0.27959299609398277207055162684058
absolute error = 3.36e-30
relative error = 1.2017468416378230751382884162836e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.909
y[1] (analytic) = 0.28028690772913462385121761665173
y[1] (numeric) = 0.28028690772913462385121761664837
absolute error = 3.36e-30
relative error = 1.1987716540963295189060358792969e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 0.28098153907731877040823638612561
y[1] (numeric) = 0.28098153907731877040823638612225
absolute error = 3.36e-30
relative error = 1.1958080986507145160455389110290e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.911
y[1] (analytic) = 0.28167688944390392144340513072754
y[1] (numeric) = 0.28167688944390392144340513072418
absolute error = 3.36e-30
relative error = 1.1928561149029393493366797544990e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.912
y[1] (analytic) = 0.28237295813353976831743476585592
y[1] (numeric) = 0.28237295813353976831743476585256
absolute error = 3.36e-30
relative error = 1.1899156428467167197255411271032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.913
y[1] (analytic) = 0.2830697444501576794002006202776
y[1] (numeric) = 0.28306974445015767940020062027424
absolute error = 3.36e-30
relative error = 1.1869866228644657140476694671319e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.914
y[1] (analytic) = 0.28376724769697139613931606053513
y[1] (numeric) = 0.28376724769697139613931606053177
absolute error = 3.36e-30
relative error = 1.1840689957242943507316075395043e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.915
y[1] (analytic) = 0.28446546717647772984633297781382
y[1] (numeric) = 0.28446546717647772984633297781045
absolute error = 3.37e-30
relative error = 1.1846780677632505178647970022609e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.916
y[1] (analytic) = 0.28516440219045725919987235112603
y[1] (numeric) = 0.28516440219045725919987235112266
absolute error = 3.37e-30
relative error = 1.1817744340155139010125282899422e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.917
y[1] (analytic) = 0.28586405203997502846498738374039
y[1] (numeric) = 0.28586405203997502846498738373702
absolute error = 3.37e-30
relative error = 1.1788820510837583609535628093025e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.918
y[1] (analytic) = 0.28656441602538124642806099355087
y[1] (numeric) = 0.2865644160253812464280609935475
absolute error = 3.37e-30
relative error = 1.1760008610774326996181610999220e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.919
y[1] (analytic) = 0.28726549344631198604653872254654
y[1] (numeric) = 0.28726549344631198604653872254317
absolute error = 3.37e-30
relative error = 1.1731308064780953689706949287633e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 0.28796728360168988481279741570741
y[1] (numeric) = 0.28796728360168988481279741570403
absolute error = 3.38e-30
relative error = 1.1737444468431847481064838522860e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.921
y[1] (analytic) = 0.28866978578972484583144930551593
y[1] (numeric) = 0.28866978578972484583144930551255
absolute error = 3.38e-30
relative error = 1.1708880410719834162018037814773e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=999.4MB, alloc=4.6MB, time=44.55
TOP MAIN SOLVE Loop
x[1] = 3.922
y[1] (analytic) = 0.28937299930791473960938042483872
y[1] (numeric) = 0.28937299930791473960938042483533
absolute error = 3.39e-30
relative error = 1.1714983803284230442950301086381e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.923
y[1] (analytic) = 0.29007692345304610655782155819827
y[1] (numeric) = 0.29007692345304610655782155819488
absolute error = 3.39e-30
relative error = 1.1686555275220744235102325117642e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.924
y[1] (analytic) = 0.29078155752119486020574922942256
y[1] (numeric) = 0.29078155752119486020574922941917
absolute error = 3.39e-30
relative error = 1.1658235924239814690930298986933e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.925
y[1] (analytic) = 0.2914869008077269911239135123299
y[1] (numeric) = 0.29148690080772699112391351232651
absolute error = 3.39e-30
relative error = 1.1630025193606006800557110515895e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.926
y[1] (analytic) = 0.29219295260729927155878874048005
y[1] (numeric) = 0.29219295260729927155878874047665
absolute error = 3.40e-30
relative error = 1.1636146490396444307906794512299e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.927
y[1] (analytic) = 0.29289971221385996077574248209951
y[1] (numeric) = 0.29289971221385996077574248209611
absolute error = 3.40e-30
relative error = 1.1608068762858663615527640529220e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.928
y[1] (analytic) = 0.29360717892064951111071743707088
y[1] (numeric) = 0.29360717892064951111071743706748
absolute error = 3.40e-30
relative error = 1.1580098322183349826235718674675e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.929
y[1] (analytic) = 0.29431535202020127472972020436315
y[1] (numeric) = 0.29431535202020127472972020435974
absolute error = 3.41e-30
relative error = 1.1586211784718398762495344729480e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 0.29502423080434221109541016047305
y[1] (numeric) = 0.29502423080434221109541016046963
absolute error = 3.42e-30
relative error = 1.1592268169552885160960810920174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.931
y[1] (analytic) = 0.29573381456419359514008098234761
y[1] (numeric) = 0.2957338145641935951400809823442
absolute error = 3.41e-30
relative error = 1.1530639487490216635452832737657e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.932
y[1] (analytic) = 0.29644410259017172614432664186541
y[1] (numeric) = 0.29644410259017172614432664186199
absolute error = 3.42e-30
relative error = 1.1536744938144660155081591144667e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.933
y[1] (analytic) = 0.29715509417198863732068299326942
y[1] (numeric) = 0.297155094171988637320682993266
absolute error = 3.42e-30
relative error = 1.1509141411590805345202850431756e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.934
y[1] (analytic) = 0.29786678859865280610153536996932
y[1] (numeric) = 0.2978667885986528061015353699659
absolute error = 3.42e-30
relative error = 1.1481642569451154981210001043866e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.935
y[1] (analytic) = 0.29857918515846986513058190286453
y[1] (numeric) = 0.29857918515846986513058190286111
absolute error = 3.42e-30
relative error = 1.1454247884643555720564655795357e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.936
y[1] (analytic) = 0.29929228313904331395714156878414
y[1] (numeric) = 0.29929228313904331395714156878072
absolute error = 3.42e-30
relative error = 1.1426956833401407992329236848153e-27 %
Correct digits = 28
h = 0.001
memory used=1003.3MB, alloc=4.6MB, time=44.72
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.937
y[1] (analytic) = 0.30000608182727523143259527479488
y[1] (numeric) = 0.30000608182727523143259527479145
absolute error = 3.43e-30
relative error = 1.1433101552837118214561486224231e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.938
y[1] (analytic) = 0.30072058050936698880824758199538
y[1] (numeric) = 0.30072058050936698880824758199195
absolute error = 3.43e-30
relative error = 1.1405937013656305826549521892530e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.939
y[1] (analytic) = 0.3014357784708199635338959709946
y[1] (numeric) = 0.30143577847081996353389597099117
absolute error = 3.43e-30
relative error = 1.1378874854870739848847645600701e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 0.30215167499643625375639385056441
y[1] (numeric) = 0.30215167499643625375639385056097
absolute error = 3.44e-30
relative error = 1.1385010525063524100907637229067e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.941
y[1] (analytic) = 0.30286826937031939351749281096301
y[1] (numeric) = 0.30286826937031939351749281095958
absolute error = 3.43e-30
relative error = 1.1325055632705162212106011369469e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.942
y[1] (analytic) = 0.30358556087587506865024892414655
y[1] (numeric) = 0.30358556087587506865024892414311
absolute error = 3.44e-30
relative error = 1.1331237197432090781283909763960e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.943
y[1] (analytic) = 0.30430354879581183337327719452213
y[1] (numeric) = 0.30430354879581183337327719451869
absolute error = 3.44e-30
relative error = 1.1304501750350093639665584477690e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.944
y[1] (analytic) = 0.30502223241214182758213756604769
y[1] (numeric) = 0.30502223241214182758213756604424
absolute error = 3.45e-30
relative error = 1.1310650940808824879726889046071e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.945
y[1] (analytic) = 0.30574161100618149483713519435236
y[1] (numeric) = 0.30574161100618149483713519434891
absolute error = 3.45e-30
relative error = 1.1284038141377647730413239224604e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.946
y[1] (analytic) = 0.30646168385855230104681699613695
y[1] (numeric) = 0.3064616838585523010468169961335
absolute error = 3.45e-30
relative error = 1.1257524779483855397617766335608e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.947
y[1] (analytic) = 0.30718245024918145384644579241785
y[1] (numeric) = 0.30718245024918145384644579241439
absolute error = 3.46e-30
relative error = 1.1263664305019065226014809361958e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.948
y[1] (analytic) = 0.30790390945730262267073266720016
y[1] (numeric) = 0.3079039094573026226707326671967
absolute error = 3.46e-30
relative error = 1.1237272063542285244834474921953e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.949
y[1] (analytic) = 0.30862606076145665952010746890776
y[1] (numeric) = 0.3086260607614566595201074689043
absolute error = 3.46e-30
relative error = 1.1210978073152105452353656570115e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 0.30934890343949232041980668835977
y[1] (numeric) = 0.30934890343949232041980668835631
absolute error = 3.46e-30
relative error = 1.1184781848359663561099090237688e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=1007.1MB, alloc=4.6MB, time=44.89
TOP MAIN SOLVE Loop
x[1] = 3.951
y[1] (analytic) = 0.31007243676856698757105725426577
y[1] (numeric) = 0.3100724367685669875710572542623
absolute error = 3.47e-30
relative error = 1.1190933435305478109376499188872e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.952
y[1] (analytic) = 0.310796660025147392193634095116
y[1] (numeric) = 0.31079666002514739219363409511253
absolute error = 3.47e-30
relative error = 1.1164856146521114427992653724691e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.953
y[1] (analytic) = 0.31152157248501033805906862496946
y[1] (numeric) = 0.31152157248501033805906862496598
absolute error = 3.48e-30
relative error = 1.1170975968822991073348299126133e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.954
y[1] (analytic) = 0.3122471734232434257137846199914
y[1] (numeric) = 0.31224717342324342571378461998793
absolute error = 3.47e-30
relative error = 1.1112990910237959647515324021658e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.955
y[1] (analytic) = 0.31297346211424577739143726266503
y[1] (numeric) = 0.31297346211424577739143726266155
absolute error = 3.48e-30
relative error = 1.1119153606479528453734978291345e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.956
y[1] (analytic) = 0.31370043783172876261373044139844
y[1] (numeric) = 0.31370043783172876261373044139496
absolute error = 3.48e-30
relative error = 1.1093385855797554751129787767346e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.957
y[1] (analytic) = 0.31442809984871672447898670477028
y[1] (numeric) = 0.3144280998487167244789867047668
absolute error = 3.48e-30
relative error = 1.1067713100942186434473780246889e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.958
y[1] (analytic) = 0.31515644743754770663774358190442
y[1] (numeric) = 0.31515644743754770663774358190094
absolute error = 3.48e-30
relative error = 1.1042134877121962249214730128081e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.959
y[1] (analytic) = 0.31588547986987418095464929343813
y[1] (numeric) = 0.31588547986987418095464929343464
absolute error = 3.49e-30
relative error = 1.1048307764692666775775009066367e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 0.31661519641666377585593019124849
y[1] (numeric) = 0.316615196416663775855930191245
absolute error = 3.49e-30
relative error = 1.1022844258578100877220647242147e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.961
y[1] (analytic) = 0.31734559634820000536170157953049
y[1] (numeric) = 0.31734559634820000536170157952699
absolute error = 3.50e-30
relative error = 1.1028985561090651368277081400075e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.962
y[1] (analytic) = 0.31807667893408299880239288497652
y[1] (numeric) = 0.31807667893408299880239288497302
absolute error = 3.50e-30
relative error = 1.1003636015469485860702585123302e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.963
y[1] (analytic) = 0.31880844344323023121855745969315
y[1] (numeric) = 0.31880844344323023121855745968964
absolute error = 3.51e-30
relative error = 1.1009746047158944638928969475371e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.964
y[1] (analytic) = 0.31954088914387725444333661710601
y[1] (numeric) = 0.3195408891438772544433366171025
absolute error = 3.51e-30
relative error = 1.0984509711430323088677509830783e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.965
y[1] (analytic) = 0.32027401530357842886684681844985
y[1] (numeric) = 0.32027401530357842886684681844635
absolute error = 3.50e-30
relative error = 1.0928142255569661945945762837333e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=1010.9MB, alloc=4.6MB, time=45.06
TOP MAIN SOLVE Loop
x[1] = 3.966
y[1] (analytic) = 0.32100782118920765588175824551751
y[1] (numeric) = 0.321007821189207655881758245514
absolute error = 3.51e-30
relative error = 1.0934313023890917175105898487170e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.967
y[1] (analytic) = 0.32174230606695911100933231415015
y[1] (numeric) = 0.32174230606695911100933231414664
absolute error = 3.51e-30
relative error = 1.0909351781886959879614879635895e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.968
y[1] (analytic) = 0.32247746920234797770518500249256
y[1] (numeric) = 0.32247746920234797770518500248905
absolute error = 3.51e-30
relative error = 1.0884481352083382948022733692915e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.969
y[1] (analytic) = 0.32321330986021118184404218831116
y[1] (numeric) = 0.32321330986021118184404218830765
absolute error = 3.51e-30
relative error = 1.0859701296082345153750241007842e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 0.32394982730470812688275251068066
y[1] (numeric) = 0.32394982730470812688275251067715
absolute error = 3.51e-30
relative error = 1.0835011178130630824995408864256e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.971
y[1] (analytic) = 0.32468702079932142970082259308773
y[1] (numeric) = 0.32468702079932142970082259308422
absolute error = 3.51e-30
relative error = 1.0810410565100530262808062536956e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.972
y[1] (analytic) = 0.32542488960685765711773878747785
y[1] (numeric) = 0.32542488960685765711773878747434
absolute error = 3.51e-30
relative error = 1.0785899026470881232711679170784e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.973
y[1] (analytic) = 0.32616343298944806308633892198491
y[1] (numeric) = 0.3261634329894480630863389219814
absolute error = 3.51e-30
relative error = 1.0761476134308269980918094380663e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.974
y[1] (analytic) = 0.32690265020854932656149685903324
y[1] (numeric) = 0.32690265020854932656149685902973
absolute error = 3.51e-30
relative error = 1.0737141463248390242917955047611e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.975
y[1] (analytic) = 0.32764254052494429004338199518907
y[1] (numeric) = 0.32764254052494429004338199518556
absolute error = 3.51e-30
relative error = 1.0712894590477558728766326956839e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.976
y[1] (analytic) = 0.32838310319874269879455515956337
y[1] (numeric) = 0.32838310319874269879455515955986
absolute error = 3.51e-30
relative error = 1.0688735095714385585721337043872e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.977
y[1] (analytic) = 0.32912433748938194073016169373189
y[1] (numeric) = 0.32912433748938194073016169372837
absolute error = 3.52e-30
relative error = 1.0695046215212087239239127358643e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.978
y[1] (analytic) = 0.3298662426556277869804818230408
y[1] (numeric) = 0.32986624265562778698048182303728
absolute error = 3.52e-30
relative error = 1.0670991889505932536729706447507e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.979
y[1] (analytic) = 0.33060881795557513312509775680952
y[1] (numeric) = 0.330608817955575133125097756806
absolute error = 3.52e-30
relative error = 1.0647023941366841041756844185953e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1014.7MB, alloc=4.6MB, time=45.23
x[1] = 3.98
y[1] (analytic) = 0.33135206264664874109793628332516
y[1] (numeric) = 0.33135206264664874109793628332164
absolute error = 3.52e-30
relative error = 1.0623141959293310887916901582095e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.981
y[1] (analytic) = 0.33209597598560398176244495464798
y[1] (numeric) = 0.33209597598560398176244495464446
absolute error = 3.52e-30
relative error = 1.0599345534233719145145487237422e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.982
y[1] (analytic) = 0.33284055722852757815615928611346
y[1] (numeric) = 0.33284055722852757815615928610994
absolute error = 3.52e-30
relative error = 1.0575634259568841892051712141478e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.983
y[1] (analytic) = 0.33358580563083834940391772602577
y[1] (numeric) = 0.33358580563083834940391772602225
absolute error = 3.52e-30
relative error = 1.0552007731094519624475490824311e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.984
y[1] (analytic) = 0.33433172044728795529898048238966
y[1] (numeric) = 0.33433172044728795529898048238614
absolute error = 3.52e-30
relative error = 1.0528465547004466620889606410095e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.985
y[1] (analytic) = 0.33507830093196164155130762562397
y[1] (numeric) = 0.33507830093196164155130762562045
absolute error = 3.52e-30
relative error = 1.0505007307873222899978865626664e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.986
y[1] (analytic) = 0.33582554633827898570225121904077
y[1] (numeric) = 0.33582554633827898570225121903725
absolute error = 3.52e-30
relative error = 1.0481632616639247420265169430965e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.987
y[1] (analytic) = 0.33657345591899464370491556246016
y[1] (numeric) = 0.33657345591899464370491556245664
absolute error = 3.52e-30
relative error = 1.0458341078588151186011979682021e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.988
y[1] (analytic) = 0.33732202892619909716943896866273
y[1] (numeric) = 0.33732202892619909716943896865921
absolute error = 3.52e-30
relative error = 1.0435132301336068937836704222733e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.989
y[1] (analytic) = 0.3380712646113194012724498274601
y[1] (numeric) = 0.33807126461131940127244982745657
absolute error = 3.53e-30
relative error = 1.0441585457014341893556717997328e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 0.33882116222511993332994904798987
y[1] (numeric) = 0.33882116222511993332994904798635
absolute error = 3.52e-30
relative error = 1.0388961471247293834100597998051e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.991
y[1] (analytic) = 0.33957172101770314203287030641496
y[1] (numeric) = 0.33957172101770314203287030641143
absolute error = 3.53e-30
relative error = 1.0395447504935100047170555401676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.992
y[1] (analytic) = 0.34032294023851029734456886352932
y[1] (numeric) = 0.34032294023851029734456886352579
absolute error = 3.53e-30
relative error = 1.0372500888497412865784708284853e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.993
y[1] (analytic) = 0.34107481913632224105948905484399
y[1] (numeric) = 0.34107481913632224105948905484046
absolute error = 3.53e-30
relative error = 1.0349635334964773570660830246553e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.994
y[1] (analytic) = 0.3418273569592601380222598945483
y[1] (numeric) = 0.34182735695926013802225989454476
absolute error = 3.54e-30
relative error = 1.0356104998412711268929590883933e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=1018.5MB, alloc=4.6MB, time=45.40
TOP MAIN SOLVE Loop
x[1] = 3.995
y[1] (analytic) = 0.34258055295478622800646757431334
y[1] (numeric) = 0.3425805529547862280064675743098
absolute error = 3.54e-30
relative error = 1.0333336114578602781977210489929e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.996
y[1] (analytic) = 0.34333440636970457825235297822789
y[1] (numeric) = 0.34333440636970457825235297822434
absolute error = 3.55e-30
relative error = 1.0339773509845495634124473828509e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.997
y[1] (analytic) = 0.34408891645016183666268167623182
y[1] (numeric) = 0.34408891645016183666268167622827
absolute error = 3.55e-30
relative error = 1.0317100697761607063395788923890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.998
y[1] (analytic) = 0.34484408244164798565603320024001
y[1] (numeric) = 0.34484408244164798565603320023646
absolute error = 3.55e-30
relative error = 1.0294507520223158390673952853383e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.999
y[1] (analytic) = 0.34559990358899709667675574973008
y[1] (numeric) = 0.34559990358899709667675574972653
absolute error = 3.55e-30
relative error = 1.0271993606288210065886639435511e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 0.34635637913638808536083181690225
y[1] (numeric) = 0.3463563791363880853608318168987
absolute error = 3.55e-30
relative error = 1.0249558587174403762032662497674e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.001
y[1] (analytic) = 0.34711350832734546735689956560858
y[1] (numeric) = 0.34711350832734546735689956560503
absolute error = 3.55e-30
relative error = 1.0227202096243894230850789913837e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.002
y[1] (analytic) = 0.34787129040474011480167414309322
y[1] (numeric) = 0.34787129040474011480167414308967
absolute error = 3.55e-30
relative error = 1.0204923768988403677110865668773e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.003
y[1] (analytic) = 0.34862972461079001344901244918537
y[1] (numeric) = 0.34862972461079001344901244918182
absolute error = 3.55e-30
relative error = 1.0182723243014397514342937896783e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.004
y[1] (analytic) = 0.34938881018706102045186423394329
y[1] (numeric) = 0.34938881018706102045186423393974
absolute error = 3.55e-30
relative error = 1.0160600158028380376680747648955e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.005
y[1] (analytic) = 0.35014854637446762279635174186145
y[1] (numeric) = 0.3501485463744676227963517418579
absolute error = 3.55e-30
relative error = 1.0138554155822311273219299277136e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.006
y[1] (analytic) = 0.35090893241327369638721946862427
y[1] (numeric) = 0.35090893241327369638721946862072
absolute error = 3.55e-30
relative error = 1.0116584880259136782874054862604e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.007
y[1] (analytic) = 0.35166996754309326578389494502008
y[1] (numeric) = 0.35166996754309326578389494501653
absolute error = 3.55e-30
relative error = 1.0094691977258441199183293942805e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.008
y[1] (analytic) = 0.35243165100289126458640081201777
y[1] (numeric) = 0.35243165100289126458640081201421
absolute error = 3.56e-30
relative error = 1.0101249390823852581157383675275e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1022.3MB, alloc=4.6MB, time=45.58
x[1] = 4.009
y[1] (analytic) = 0.35319398203098429647035780115734
y[1] (numeric) = 0.35319398203098429647035780115378
absolute error = 3.56e-30
relative error = 1.0079446936011767686000300630346e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 0.35395695986504139687031758531497
y[1] (numeric) = 0.35395695986504139687031758531141
absolute error = 3.56e-30
relative error = 1.0057720015895084656661781245146e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.011
y[1] (analytic) = 0.35472058374208479531066381657309
y[1] (numeric) = 0.35472058374208479531066381656953
absolute error = 3.56e-30
relative error = 1.0036068283504107575601298478246e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.012
y[1] (analytic) = 0.35548485289849067838331902035794
y[1] (numeric) = 0.35548485289849067838331902035437
absolute error = 3.57e-30
relative error = 1.0042621987664323197535985560640e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.013
y[1] (analytic) = 0.35624976656998995337149436820138
y[1] (numeric) = 0.35624976656998995337149436819781
absolute error = 3.57e-30
relative error = 1.0021059197799155705588518142457e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.014
y[1] (analytic) = 0.35701532399166901251871870544083
y[1] (numeric) = 0.35701532399166901251871870543726
absolute error = 3.57e-30
relative error = 9.9995707749600863041508514411208e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.015
y[1] (analytic) = 0.35778152439797049794238256489187
y[1] (numeric) = 0.35778152439797049794238256488829
absolute error = 3.58e-30
relative error = 1.0006106396980591023278146358795e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.016
y[1] (analytic) = 0.35854836702269406719103225301331
y[1] (numeric) = 0.35854836702269406719103225300973
absolute error = 3.58e-30
relative error = 9.9847059121410150311664223124550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.017
y[1] (analytic) = 0.35931585109899715944464845133455
y[1] (numeric) = 0.35931585109899715944464845133097
absolute error = 3.58e-30
relative error = 9.9633789855089186754639272677155e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.018
y[1] (analytic) = 0.36008397585939576235714313293024
y[1] (numeric) = 0.36008397585939576235714313292666
absolute error = 3.58e-30
relative error = 9.9421252819034217335230824913762e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.019
y[1] (analytic) = 0.36085274053576517954030795150943
y[1] (numeric) = 0.36085274053576517954030795150584
absolute error = 3.59e-30
relative error = 9.9486566034384447480540991995865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 0.36162214435934079868844661923465
y[1] (numeric) = 0.36162214435934079868844661923106
absolute error = 3.59e-30
relative error = 9.9274893863597247931100692557595e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.021
y[1] (analytic) = 0.3623921865607188603429231487027
y[1] (numeric) = 0.36239218656071886034292314869911
absolute error = 3.59e-30
relative error = 9.9063945999246730717945149093615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.022
y[1] (analytic) = 0.36316286636985722729585719460278
y[1] (numeric) = 0.36316286636985722729585719459919
absolute error = 3.59e-30
relative error = 9.8853719155961935615665490287499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.023
y[1] (analytic) = 0.36393418301607615463219709142087
y[1] (numeric) = 0.36393418301607615463219709141729
absolute error = 3.58e-30
relative error = 9.8369435108596539144310949632561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1026.1MB, alloc=4.6MB, time=45.74
TOP MAIN SOLVE Loop
x[1] = 4.024
y[1] (analytic) = 0.36470613572805906040940054518151
y[1] (numeric) = 0.36470613572805906040940054517792
absolute error = 3.59e-30
relative error = 9.8435415484121768041059544748597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.025
y[1] (analytic) = 0.36547872373385329697395229961031
y[1] (numeric) = 0.36547872373385329697395229960672
absolute error = 3.59e-30
relative error = 9.8227332177461801048850836461360e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.026
y[1] (analytic) = 0.36625194626087092291394746026417
y[1] (numeric) = 0.36625194626087092291394746026057
absolute error = 3.60e-30
relative error = 9.8292993027150267190752639513550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.027
y[1] (analytic) = 0.36702580253588947564696852410975
y[1] (numeric) = 0.36702580253588947564696852410615
absolute error = 3.60e-30
relative error = 9.8085746972734305165662938692062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.028
y[1] (analytic) = 0.36780029178505274464248352673801
y[1] (numeric) = 0.36780029178505274464248352673441
absolute error = 3.60e-30
relative error = 9.7879204568545764989729261958968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.029
y[1] (analytic) = 0.3685754132338715452779920848807
y[1] (numeric) = 0.3685754132338715452779920848771
absolute error = 3.60e-30
relative error = 9.7673362648194278072935622016227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 0.36935116610722449332814547814755
y[1] (numeric) = 0.36935116610722449332814547814395
absolute error = 3.60e-30
relative error = 9.7468218063102093205756066377946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.031
y[1] (analytic) = 0.37012754962935878008606628092846
y[1] (numeric) = 0.37012754962935878008606628092485
absolute error = 3.61e-30
relative error = 9.7533944814835048861368878685855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.032
y[1] (analytic) = 0.37090456302389094811609242320565
y[1] (numeric) = 0.37090456302389094811609242320204
absolute error = 3.61e-30
relative error = 9.7329619527152334089019518526682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.033
y[1] (analytic) = 0.37168220551380766763716992759649
y[1] (numeric) = 0.37168220551380766763716992759288
absolute error = 3.61e-30
relative error = 9.7125984145772931526532635197592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.034
y[1] (analytic) = 0.37246047632146651353611793929878
y[1] (numeric) = 0.37246047632146651353611793929517
absolute error = 3.61e-30
relative error = 9.6923035583626568929140467737895e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.035
y[1] (analytic) = 0.37323937466859674300998903573835
y[1] (numeric) = 0.37323937466859674300998903573474
absolute error = 3.61e-30
relative error = 9.6720770770912309163695799464803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.036
y[1] (analytic) = 0.37401889977630007383674717362341
y[1] (numeric) = 0.3740188997763000738367471736198
absolute error = 3.61e-30
relative error = 9.6519186654982769394960690665427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.037
y[1] (analytic) = 0.37479905086505146327348500279258
y[1] (numeric) = 0.37479905086505146327348500278896
absolute error = 3.62e-30
relative error = 9.6585089840673093229357785811919e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1030.0MB, alloc=4.6MB, time=45.91
x[1] = 4.038
y[1] (analytic) = 0.37557982715469988758140164870416
y[1] (numeric) = 0.37557982715469988758140164870053
absolute error = 3.63e-30
relative error = 9.6650558351335971749006170391972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.039
y[1] (analytic) = 0.37636122786446912217676143865387
y[1] (numeric) = 0.37636122786446912217676143865024
absolute error = 3.63e-30
relative error = 9.6449892583175274919006299093729e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 0.37714325221295852240705342082732
y[1] (numeric) = 0.37714325221295852240705342082369
absolute error = 3.63e-30
relative error = 9.6249899174923494825993658148083e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.041
y[1] (analytic) = 0.37792589941814380495157090009274
y[1] (numeric) = 0.3779258994181438049515709000891
absolute error = 3.64e-30
relative error = 9.6315177276925404095794266201247e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.042
y[1] (analytic) = 0.37870916869737782984562959001953
y[1] (numeric) = 0.37870916869737782984562959001589
absolute error = 3.64e-30
relative error = 9.6115972383776174559100471110930e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.043
y[1] (analytic) = 0.3794930592673913831276423569698
y[1] (numeric) = 0.37949305926739138312764235696616
absolute error = 3.64e-30
relative error = 9.5917432772736180623649880182130e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.044
y[1] (analytic) = 0.38027757034429396010826790925312
y[1] (numeric) = 0.38027757034429396010826790924948
absolute error = 3.64e-30
relative error = 9.5719555500063638192176187531067e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.045
y[1] (analytic) = 0.38106270114357454926085016226129
y[1] (numeric) = 0.38106270114357454926085016225764
absolute error = 3.65e-30
relative error = 9.5784761642803098750608434343709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.046
y[1] (analytic) = 0.38184845088010241673236438920896
y[1] (numeric) = 0.38184845088010241673236438920531
absolute error = 3.65e-30
relative error = 9.5587660276932037253208403781711e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.047
y[1] (analytic) = 0.38263481876812789147408564659943
y[1] (numeric) = 0.38263481876812789147408564659577
absolute error = 3.66e-30
relative error = 9.5652560103734733030541910820389e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.048
y[1] (analytic) = 0.38342180402128315099119434381244
y[1] (numeric) = 0.38342180402128315099119434380878
absolute error = 3.66e-30
relative error = 9.5456230230371537866314959276177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.049
y[1] (analytic) = 0.38420940585258300771053320727417
y[1] (numeric) = 0.3842094058525830077105332072705
absolute error = 3.67e-30
relative error = 9.5520826510117747989557349001598e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 0.38499762347442569596572927151763
y[1] (numeric) = 0.38499762347442569596572927151396
absolute error = 3.67e-30
relative error = 9.5325263747862789800402205776361e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.051
y[1] (analytic) = 0.38578645609859365959889391207744
y[1] (numeric) = 0.38578645609859365959889391207377
absolute error = 3.67e-30
relative error = 9.5130348460498444264620463683011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.052
y[1] (analytic) = 0.38657590293625434017811331858424
y[1] (numeric) = 0.38657590293625434017811331858056
absolute error = 3.68e-30
relative error = 9.5194759219299431444437116192090e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1033.8MB, alloc=4.6MB, time=46.09
TOP MAIN SOLVE Loop
x[1] = 4.053
y[1] (analytic) = 0.38736596319796096582994119063414
y[1] (numeric) = 0.38736596319796096582994119063046
absolute error = 3.68e-30
relative error = 9.5000602779324700036637671624179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.054
y[1] (analytic) = 0.38815663609365334068610482400629
y[1] (numeric) = 0.38815663609365334068610482400261
absolute error = 3.68e-30
relative error = 9.4807087083063548535990098207874e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.055
y[1] (analytic) = 0.38894792083265863494363514058807
y[1] (numeric) = 0.38894792083265863494363514058438
absolute error = 3.69e-30
relative error = 9.4871313159367408082323733087806e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.056
y[1] (analytic) = 0.38973981662369217553763060194388
y[1] (numeric) = 0.38973981662369217553763060194019
absolute error = 3.69e-30
relative error = 9.4678548164937118763010923213903e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.057
y[1] (analytic) = 0.39053232267485823742586433382949
y[1] (numeric) = 0.3905323226748582374258643338258
absolute error = 3.69e-30
relative error = 9.4486417275943328901908783355944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.058
y[1] (analytic) = 0.39132543819365083548444317711067
y[1] (numeric) = 0.39132543819365083548444317710698
absolute error = 3.69e-30
relative error = 9.4294917729676725998352471530356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.059
y[1] (analytic) = 0.39211916238695451701372676949312
y[1] (numeric) = 0.39211916238695451701372676948943
absolute error = 3.69e-30
relative error = 9.4104046778479073740845338916403e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 0.39291349446104515485371415221066
y[1] (numeric) = 0.39291349446104515485371415220697
absolute error = 3.69e-30
relative error = 9.3913801689644939394971879283355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.061
y[1] (analytic) = 0.39370843362159074110810478635112
y[1] (numeric) = 0.39370843362159074110810478634742
absolute error = 3.70e-30
relative error = 9.3978174812384668098747043271231e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.062
y[1] (analytic) = 0.39450397907365218147624025482507
y[1] (numeric) = 0.39450397907365218147624025482138
absolute error = 3.69e-30
relative error = 9.3535178242425103848385841632117e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.063
y[1] (analytic) = 0.39530013002168409019213231810199
y[1] (numeric) = 0.3953001300216840901921323180983
absolute error = 3.69e-30
relative error = 9.3346794492518531904044119121052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.064
y[1] (analytic) = 0.39609688566953558556978238475184
y[1] (numeric) = 0.39609688566953558556978238474814
absolute error = 3.70e-30
relative error = 9.3411489306354135575503752017869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.065
y[1] (analytic) = 0.39689424522045108615399685153905
y[1] (numeric) = 0.39689424522045108615399685153535
absolute error = 3.70e-30
relative error = 9.3223825856806531257302418235018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.066
y[1] (analytic) = 0.39769220787707110747590216231996
y[1] (numeric) = 0.39769220787707110747590216231625
absolute error = 3.71e-30
relative error = 9.3288224574588140113857720343087e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1037.6MB, alloc=4.6MB, time=46.26
x[1] = 4.067
y[1] (analytic) = 0.39849077284143305941236283029479
y[1] (numeric) = 0.39849077284143305941236283029108
absolute error = 3.71e-30
relative error = 9.3101277441028188445970972248851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.068
y[1] (analytic) = 0.3992899393149720441485050642629
y[1] (numeric) = 0.39928993931497204414850506425919
absolute error = 3.71e-30
relative error = 9.2914938111511975790317206564055e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.069
y[1] (analytic) = 0.40008970649852165474254803642395
y[1] (numeric) = 0.40008970649852165474254803642024
absolute error = 3.71e-30
relative error = 9.2729203969502988897605168802098e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 0.40089007359231477429214422696039
y[1] (numeric) = 0.40089007359231477429214422695667
absolute error = 3.72e-30
relative error = 9.2793517351668193375475488823537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.071
y[1] (analytic) = 0.40169103979598437570142967912743
y[1] (numeric) = 0.40169103979598437570142967912371
absolute error = 3.72e-30
relative error = 9.2608488401667058783818065087124e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.072
y[1] (analytic) = 0.40249260430856432204798439786698
y[1] (numeric) = 0.40249260430856432204798439786326
absolute error = 3.72e-30
relative error = 9.2424058484019331329018195819543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.073
y[1] (analytic) = 0.40329476632849016754890252505181
y[1] (numeric) = 0.40329476632849016754890252504809
absolute error = 3.72e-30
relative error = 9.2240225031088038035161154963306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.074
y[1] (analytic) = 0.40409752505359995912517132535646
y[1] (numeric) = 0.40409752505359995912517132535274
absolute error = 3.72e-30
relative error = 9.2056985488999838196492588861273e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.075
y[1] (analytic) = 0.40490087968113503856355741844278
y[1] (numeric) = 0.40490087968113503856355741843906
absolute error = 3.72e-30
relative error = 9.1874337317556600582743616210077e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.076
y[1] (analytic) = 0.40570482940774084527519809564071
y[1] (numeric) = 0.40570482940774084527519809563698
absolute error = 3.73e-30
relative error = 9.1938762608400727762831018158705e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.077
y[1] (analytic) = 0.40650937342946771965009496259981
y[1] (numeric) = 0.40650937342946771965009496259608
absolute error = 3.73e-30
relative error = 9.1756801781279999112364642225879e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.078
y[1] (analytic) = 0.40731451094177170700670655348496
y[1] (numeric) = 0.40731451094177170700670655348122
absolute error = 3.74e-30
relative error = 9.1820936881245992278531652458699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.079
y[1] (analytic) = 0.40812024113951536213583596719046
y[1] (numeric) = 0.40812024113951536213583596718671
absolute error = 3.75e-30
relative error = 9.1884685491942250491943338129443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 0.40892656321696855443800898175208
y[1] (numeric) = 0.40892656321696855443800898174833
absolute error = 3.75e-30
relative error = 9.1703507116272176782232550048439e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.081
y[1] (analytic) = 0.40973347636780927365353750964601
y[1] (numeric) = 0.40973347636780927365353750964225
absolute error = 3.76e-30
relative error = 9.1766970893652968424332952828971e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1041.4MB, alloc=4.6MB, time=46.43
TOP MAIN SOLVE Loop
x[1] = 4.082
y[1] (analytic) = 0.41054097978512443618446266397826
y[1] (numeric) = 0.4105409797851244361844626639745
absolute error = 3.76e-30
relative error = 9.1586472121929691002042316190768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.083
y[1] (analytic) = 0.41134907266141069200757111368889
y[1] (numeric) = 0.41134907266141069200757111368513
absolute error = 3.76e-30
relative error = 9.1406551026673350150216504267341e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.084
y[1] (analytic) = 0.4121577541885752321776778148217
y[1] (numeric) = 0.41215775418857523217767781481794
absolute error = 3.76e-30
relative error = 9.1227205160858889496642557715015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.085
y[1] (analytic) = 0.41296702355793659692036761464414
y[1] (numeric) = 0.41296702355793659692036761464038
absolute error = 3.76e-30
relative error = 9.1048432090425650390328431066952e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.086
y[1] (analytic) = 0.41377687996022548431338763594305
y[1] (numeric) = 0.41377687996022548431338763593928
absolute error = 3.77e-30
relative error = 9.1111905536200891446585334235688e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.087
y[1] (analytic) = 0.41458732258558555955588176017126
y[1] (numeric) = 0.41458732258558555955588176016749
absolute error = 3.77e-30
relative error = 9.0933798373001094320014985350565e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.088
y[1] (analytic) = 0.41539835062357426482465794027812
y[1] (numeric) = 0.41539835062357426482465794027435
absolute error = 3.77e-30
relative error = 9.0756258284142758299903953875256e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.089
y[1] (analytic) = 0.41620996326316362971667848702393
y[1] (numeric) = 0.41620996326316362971667848702016
absolute error = 3.77e-30
relative error = 9.0579282880267878498850132503360e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 0.41702215969274108227696288635572
y[1] (numeric) = 0.41702215969274108227696288635194
absolute error = 3.78e-30
relative error = 9.0642665195179956881434306002453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.091
y[1] (analytic) = 0.41783493910011026061109212000896
y[1] (numeric) = 0.41783493910011026061109212000518
absolute error = 3.78e-30
relative error = 9.0466345589504161992785419402342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.092
y[1] (analytic) = 0.41864830067249182508150287689876
y[1] (numeric) = 0.41864830067249182508150287689498
absolute error = 3.78e-30
relative error = 9.0290585054998001111404791139448e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.093
y[1] (analytic) = 0.41946224359652427108675945907373
y[1] (numeric) = 0.41946224359652427108675945906995
absolute error = 3.78e-30
relative error = 9.0115381245992116359634112254763e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.094
y[1] (analytic) = 0.4202767670582647424229906030286
y[1] (numeric) = 0.42027676705826474242299060302482
absolute error = 3.78e-30
relative error = 8.9940731829127319870718964175683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.095
y[1] (analytic) = 0.42109187024318984522667785500638
y[1] (numeric) = 0.42109187024318984522667785500259
absolute error = 3.79e-30
relative error = 9.0004112352280545922875142449871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.096
y[1] (analytic) = 0.42190755233619646249798155756957
y[1] (numeric) = 0.42190755233619646249798155756578
memory used=1045.2MB, alloc=4.6MB, time=46.60
absolute error = 3.79e-30
relative error = 8.9830105647882397363112344306347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.097
y[1] (analytic) = 0.42272381252160256920378992418235
y[1] (numeric) = 0.42272381252160256920378992417856
absolute error = 3.79e-30
relative error = 8.9656647856957871423650268065427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.098
y[1] (analytic) = 0.42354064998314804795967609882256
y[1] (numeric) = 0.42354064998314804795967609881877
absolute error = 3.79e-30
relative error = 8.9483736688575171330224952648269e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.099
y[1] (analytic) = 0.42435806390399550528994751873434
y[1] (numeric) = 0.42435806390399550528994751873055
absolute error = 3.79e-30
relative error = 8.9311369863762723113076387645912e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 0.42517605346673108846497132034021
y[1] (numeric) = 0.42517605346673108846497132033641
absolute error = 3.80e-30
relative error = 8.9374741804393272065018565961804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.101
y[1] (analytic) = 0.42599461785336530291495895105509
y[1] (numeric) = 0.42599461785336530291495895105129
absolute error = 3.80e-30
relative error = 8.9203004938152189538181834874253e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.102
y[1] (analytic) = 0.42681375624533383021939257328598
y[1] (numeric) = 0.42681375624533383021939257328217
absolute error = 3.81e-30
relative error = 8.9266101297119405542368246913264e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.103
y[1] (analytic) = 0.42763346782349834667127527125881
y[1] (numeric) = 0.427633467823498346671275271255
absolute error = 3.81e-30
relative error = 8.9094991077090844602496152797662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.104
y[1] (analytic) = 0.42845375176814734241538649649069
y[1] (numeric) = 0.42845375176814734241538649648688
absolute error = 3.81e-30
relative error = 8.8924416795905109399747866333969e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.105
y[1] (analytic) = 0.42927460725899694115972361372023
y[1] (numeric) = 0.42927460725899694115972361371642
absolute error = 3.81e-30
relative error = 8.8754376233143667035205084280508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.106
y[1] (analytic) = 0.43009603347519172045930983592279
y[1] (numeric) = 0.43009603347519172045930983591897
absolute error = 3.82e-30
relative error = 8.8817373392966680840600159240361e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.107
y[1] (analytic) = 0.43091802959530553257154826467095
y[1] (numeric) = 0.43091802959530553257154826466714
absolute error = 3.81e-30
relative error = 8.8415887438688560975770734788820e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.108
y[1] (analytic) = 0.4317405947973423258823011805548
y[1] (numeric) = 0.43174059479734232588230118055098
absolute error = 3.82e-30
relative error = 8.8479055387253912439973191557747e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.109
y[1] (analytic) = 0.43256372825873696690187315765089
y[1] (numeric) = 0.43256372825873696690187315764706
absolute error = 3.83e-30
relative error = 8.8541866776890146337738497683049e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 0.43338742915635606283007600612553
y[1] (numeric) = 0.4333874291563560628300760061217
absolute error = 3.83e-30
relative error = 8.8373583134508164247887993530278e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1049.0MB, alloc=4.6MB, time=46.77
TOP MAIN SOLVE Loop
x[1] = 4.111
y[1] (analytic) = 0.43421169666649878468955297797585
y[1] (numeric) = 0.43421169666649878468955297797203
absolute error = 3.82e-30
relative error = 8.7975520450661519115789049123184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.112
y[1] (analytic) = 0.43503652996489769102653910265312
y[1] (numeric) = 0.4350365299648976910265391026493
absolute error = 3.82e-30
relative error = 8.7808718047383949001852289133983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.113
y[1] (analytic) = 0.43586192822671955217823395187651
y[1] (numeric) = 0.43586192822671955217823395187268
absolute error = 3.83e-30
relative error = 8.7871863816648217062038867820775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.114
y[1] (analytic) = 0.43668789062656617510596256633334
y[1] (numeric) = 0.43668789062656617510596256632951
absolute error = 3.83e-30
relative error = 8.7705660775357428832851867407285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.115
y[1] (analytic) = 0.43751441633847522879329971117363
y[1] (numeric) = 0.43751441633847522879329971116979
absolute error = 3.84e-30
relative error = 8.7768536455019403389291385254575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.116
y[1] (analytic) = 0.43834150453592107020833206224331
y[1] (numeric) = 0.43834150453592107020833206223948
absolute error = 3.83e-30
relative error = 8.7374797055890936698914798043561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.117
y[1] (analytic) = 0.439169154391815570829232360863
y[1] (numeric) = 0.43916915439181557082923236085916
absolute error = 3.84e-30
relative error = 8.7437834866108321487131612390073e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.118
y[1] (analytic) = 0.43999736507850894373231901164676
y[1] (numeric) = 0.43999736507850894373231901164292
absolute error = 3.84e-30
relative error = 8.7273249904913110863467468823821e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.119
y[1] (analytic) = 0.44082613576779057124177403537049
y[1] (numeric) = 0.44082613576779057124177403536665
absolute error = 3.84e-30
relative error = 8.7109172719803462916425633415243e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 0.4416554656308898331401917272407
y[1] (numeric) = 0.44165546563088983314019172723686
absolute error = 3.84e-30
relative error = 8.6945601239524805023577708351390e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.121
y[1] (analytic) = 0.44248535383847693543912981008417
y[1] (numeric) = 0.44248535383847693543912981008032
absolute error = 3.85e-30
relative error = 8.7008529584131465606348748473372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.122
y[1] (analytic) = 0.44331579956066373970883431197634
y[1] (numeric) = 0.4433157995606637397088343119725
absolute error = 3.84e-30
relative error = 8.6619967161231998586919856198650e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.123
y[1] (analytic) = 0.44414680196700459296630883865279
y[1] (numeric) = 0.44414680196700459296630883864895
absolute error = 3.84e-30
relative error = 8.6457900473305025885101518841537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.124
y[1] (analytic) = 0.44497836022649715812089835270345
y[1] (numeric) = 0.4449783602264971581208983526996
absolute error = 3.85e-30
relative error = 8.6521061339709251229547271152859e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.125
y[1] (analytic) = 0.44581047350758324497655701403521
y[1] (numeric) = 0.44581047350758324497655701403136
absolute error = 3.85e-30
relative error = 8.6359568219846037865952513962834e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1052.8MB, alloc=4.6MB, time=46.95
TOP MAIN SOLVE Loop
x[1] = 4.126
y[1] (analytic) = 0.44664314097814964178996907940425
y[1] (numeric) = 0.4466431409781496417899690794004
absolute error = 3.85e-30
relative error = 8.6198569882176853196359612400372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.127
y[1] (analytic) = 0.44747636180552894738369130296642
y[1] (numeric) = 0.44747636180552894738369130296257
absolute error = 3.85e-30
relative error = 8.6038064322896933121002359426867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.128
y[1] (analytic) = 0.4483101351565004038134847247727
y[1] (numeric) = 0.44831013515650040381348472476885
absolute error = 3.85e-30
relative error = 8.5878049548355739419024906257582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.129
y[1] (analytic) = 0.44914446019729072958900317994733
y[1] (numeric) = 0.44914446019729072958900317994348
absolute error = 3.85e-30
relative error = 8.5718523574995292037214507101674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 0.44997933609357495344700530792948
y[1] (numeric) = 0.44997933609357495344700530792563
absolute error = 3.85e-30
relative error = 8.5559484429288937898204979192986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.131
y[1] (analytic) = 0.45081476201047724867625628863602
y[1] (numeric) = 0.45081476201047724867625628863216
absolute error = 3.86e-30
relative error = 8.5622750745466735954166994402285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.132
y[1] (analytic) = 0.45165073711257176799328498071305
y[1] (numeric) = 0.45165073711257176799328498070919
absolute error = 3.86e-30
relative error = 8.5464268799320338894979300046101e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.133
y[1] (analytic) = 0.45248726056388347896816158618881
y[1] (numeric) = 0.45248726056388347896816158618495
absolute error = 3.86e-30
relative error = 8.5306269069094241945121424564368e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.134
y[1] (analytic) = 0.45332433152788899999946041581973
y[1] (numeric) = 0.45332433152788899999946041581587
absolute error = 3.86e-30
relative error = 8.5148749615760005862407617347947e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.135
y[1] (analytic) = 0.45416194916751743683757178023665
y[1] (numeric) = 0.45416194916751743683757178023279
absolute error = 3.86e-30
relative error = 8.4991708510046064730867724879086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.136
y[1] (analytic) = 0.45500011264515121965552648364898
y[1] (numeric) = 0.45500011264515121965552648364512
absolute error = 3.86e-30
relative error = 8.4835143832378888484512603588231e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.137
y[1] (analytic) = 0.45583882112262694066649584935209
y[1] (numeric) = 0.45583882112262694066649584934823
absolute error = 3.86e-30
relative error = 8.4679053672824558989387885798962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.138
y[1] (analytic) = 0.45667807376123619228712965960763
y[1] (numeric) = 0.45667807376123619228712965960376
absolute error = 3.87e-30
relative error = 8.4742408763494566614845789880592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.139
y[1] (analytic) = 0.4575178697217264058458938466288
y[1] (numeric) = 0.45751786972172640584589384662493
absolute error = 3.87e-30
relative error = 8.4586860013879435035559323382323e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1056.7MB, alloc=4.6MB, time=47.12
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 0.45835820816430169083556922640269
y[1] (numeric) = 0.45835820816430169083556922639882
absolute error = 3.87e-30
relative error = 8.4431781324460792830685068028929e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.141
y[1] (analytic) = 0.45919908824862367470907202292094
y[1] (numeric) = 0.45919908824862367470907202291707
absolute error = 3.87e-30
relative error = 8.4277170818437470627197554702278e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.142
y[1] (analytic) = 0.4600405091338123432177563870681
y[1] (numeric) = 0.46004050913381234321775638706423
absolute error = 3.87e-30
relative error = 8.4123026628386111728882418337355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.143
y[1] (analytic) = 0.46088246997844688129135857193532
y[1] (numeric) = 0.46088246997844688129135857193145
absolute error = 3.87e-30
relative error = 8.3969346896205015785349784198993e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.144
y[1] (analytic) = 0.46172496994056651445874188468517
y[1] (numeric) = 0.4617249699405665144587418846813
absolute error = 3.87e-30
relative error = 8.3816129773058374419280981780391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.145
y[1] (analytic) = 0.4625680081776713508086009942928
y[1] (numeric) = 0.46256800817767135080860099428893
absolute error = 3.87e-30
relative error = 8.3663373419320895688455941481950e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.146
y[1] (analytic) = 0.4634115838467232234892836345293
y[1] (numeric) = 0.46341158384672322348928363452543
absolute error = 3.87e-30
relative error = 8.3511076004522814287082412695898e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.147
y[1] (analytic) = 0.46425569610414653374688720243571
y[1] (numeric) = 0.46425569610414653374688720243184
absolute error = 3.87e-30
relative error = 8.3359235707295284418643830631533e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.148
y[1] (analytic) = 0.46510034410582909450078721426143
y[1] (numeric) = 0.46510034410582909450078721425755
absolute error = 3.88e-30
relative error = 8.3422858081505599721866865618023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.149
y[1] (analytic) = 0.46594552700712297445575404340875
y[1] (numeric) = 0.46594552700712297445575404340487
absolute error = 3.88e-30
relative error = 8.3271536587595268345596052219201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 0.46679124396284534274981382833728
y[1] (numeric) = 0.4667912439628453427498138283334
absolute error = 3.88e-30
relative error = 8.3120667968416990976748188185337e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.151
y[1] (analytic) = 0.46763749412727931413700890263753
y[1] (numeric) = 0.46763749412727931413700890263365
absolute error = 3.88e-30
relative error = 8.2970250433853371541254725674624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.152
y[1] (analytic) = 0.46848427665417479470421256458385
y[1] (numeric) = 0.46848427665417479470421256457997
absolute error = 3.88e-30
relative error = 8.2820282202643358072365339425096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.153
y[1] (analytic) = 0.46933159069674932812115246942232
y[1] (numeric) = 0.46933159069674932812115246941844
absolute error = 3.88e-30
relative error = 8.2670761502329733372491975094338e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.154
y[1] (analytic) = 0.47017943540768894242279639444074
y[1] (numeric) = 0.47017943540768894242279639443685
absolute error = 3.89e-30
relative error = 8.2734371328405955592479810445201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1060.5MB, alloc=4.6MB, time=47.30
TOP MAIN SOLVE Loop
x[1] = 4.155
y[1] (analytic) = 0.47102780993914899732325359450555
y[1] (numeric) = 0.47102780993914899732325359450166
absolute error = 3.89e-30
relative error = 8.2585357338084564052470367319393e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.156
y[1] (analytic) = 0.47187671344275503206034443423491
y[1] (numeric) = 0.47187671344275503206034443423103
absolute error = 3.88e-30
relative error = 8.2224866993159983248179264902801e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.157
y[1] (analytic) = 0.47272614506960361376999045230898
y[1] (numeric) = 0.4727261450696036137699904523051
absolute error = 3.88e-30
relative error = 8.2077118866118851791218500825629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.158
y[1] (analytic) = 0.47357610397026318638957648359795
y[1] (numeric) = 0.47357610397026318638957648359407
absolute error = 3.88e-30
relative error = 8.1929809537932960138054202326174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.159
y[1] (analytic) = 0.47442658929477492008943593581661
y[1] (numeric) = 0.47442658929477492008943593581272
absolute error = 3.89e-30
relative error = 8.1993718054091416686532849591804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 0.47527760019265356123160978929078
y[1] (numeric) = 0.47527760019265356123160978928689
absolute error = 3.89e-30
relative error = 8.1846903755261982714455641101707e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.161
y[1] (analytic) = 0.47612913581288828285502936114759
y[1] (numeric) = 0.4761291358128882828550293611437
absolute error = 3.89e-30
relative error = 8.1700524236112123542599648918897e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.162
y[1] (analytic) = 0.47698119530394353568627234881759
y[1] (numeric) = 0.4769811953039435356862723488137
absolute error = 3.89e-30
relative error = 8.1554577796745243327792173414963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.163
y[1] (analytic) = 0.47783377781375989967504114216365
y[1] (numeric) = 0.47783377781375989967504114215976
absolute error = 3.89e-30
relative error = 8.1409062745584369326645852041804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.164
y[1] (analytic) = 0.47868688248975493605351186882927
y[1] (numeric) = 0.47868688248975493605351186882538
absolute error = 3.89e-30
relative error = 8.1263977399323355481758023804774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.165
y[1] (analytic) = 0.47954050847882403991870211352825
y[1] (numeric) = 0.47954050847882403991870211352436
absolute error = 3.89e-30
relative error = 8.1119320082878419610920230263107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.166
y[1] (analytic) = 0.48039465492734129333700472897908
y[1] (numeric) = 0.48039465492734129333700472897518
absolute error = 3.90e-30
relative error = 8.1183251312191785404108563317338e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.167
y[1] (analytic) = 0.48124932098116031897003463402126
y[1] (numeric) = 0.48124932098116031897003463401737
absolute error = 3.89e-30
relative error = 8.0831282879925009986041491923657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.168
y[1] (analytic) = 0.48210450578561513422093497313805
y[1] (numeric) = 0.48210450578561513422093497313416
absolute error = 3.89e-30
relative error = 8.0687899683929244469110675517638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1064.3MB, alloc=4.6MB, time=47.47
x[1] = 4.169
y[1] (analytic) = 0.48296020848552100590028849115041
y[1] (numeric) = 0.48296020848552100590028849114651
absolute error = 3.90e-30
relative error = 8.0751994294306769268605707793209e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 0.48381642822517530541077945724221
y[1] (numeric) = 0.48381642822517530541077945723831
absolute error = 3.90e-30
relative error = 8.0609085853217089342237258922870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.171
y[1] (analytic) = 0.484673164148358364449750953726
y[1] (numeric) = 0.4846731641483583644497509537221
absolute error = 3.90e-30
relative error = 8.0466596636371860956159807586572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.172
y[1] (analytic) = 0.48553041539833433122880182706323
y[1] (numeric) = 0.48553041539833433122880182705933
absolute error = 3.90e-30
relative error = 8.0324525020752786505840791844267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.173
y[1] (analytic) = 0.4863881811178520272095670816135
y[1] (numeric) = 0.4863881811178520272095670816096
absolute error = 3.90e-30
relative error = 8.0182869391208102350591819223188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.174
y[1] (analytic) = 0.4872464604491458043548249804037
y[1] (numeric) = 0.4872464604491458043548249803998
absolute error = 3.90e-30
relative error = 8.0041628140406886787863281367151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.175
y[1] (analytic) = 0.4881052525339364028940736018815
y[1] (numeric) = 0.48810525253393640289407360187759
absolute error = 3.91e-30
relative error = 8.0105673514098276558751926500323e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.176
y[1] (analytic) = 0.48896455651343180960271908714795
y[1] (numeric) = 0.48896455651343180960271908714404
absolute error = 3.91e-30
relative error = 7.9964896185529403989703640715528e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.177
y[1] (analytic) = 0.48982437152832811659401729855267
y[1] (numeric) = 0.48982437152832811659401729854876
absolute error = 3.91e-30
relative error = 7.9824529510448667866999826378757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.178
y[1] (analytic) = 0.49068469671881038062291009778137
y[1] (numeric) = 0.49068469671881038062291009777746
absolute error = 3.91e-30
relative error = 7.9684571908315442014132284017430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.179
y[1] (analytic) = 0.4915455312245534829008969396711
y[1] (numeric) = 0.49154553122455348290089693966718
absolute error = 3.92e-30
relative error = 7.9748461759674110750640078757876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 0.49240687418472298942108196695328
y[1] (numeric) = 0.49240687418472298942108196694936
absolute error = 3.92e-30
relative error = 7.9608961724799955992260291865572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.181
y[1] (analytic) = 0.49326872473797601179253628094914
y[1] (numeric) = 0.49326872473797601179253628094522
absolute error = 3.92e-30
relative error = 7.9469867100986407601896048517754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.182
y[1] (analytic) = 0.49413108202246206858311455392697
y[1] (numeric) = 0.49413108202246206858311455392304
absolute error = 3.93e-30
relative error = 7.9533551783762333544471176572271e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.183
y[1] (analytic) = 0.49499394517582394716986464037636
y[1] (numeric) = 0.49499394517582394716986464037243
absolute error = 3.93e-30
relative error = 7.9394910549947178529446372321098e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1068.1MB, alloc=4.6MB, time=47.63
TOP MAIN SOLVE Loop
x[1] = 4.184
y[1] (analytic) = 0.49585731333519856609616833686172
y[1] (numeric) = 0.49585731333519856609616833685779
absolute error = 3.93e-30
relative error = 7.9256671108999611528786141498825e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.185
y[1] (analytic) = 0.49672118563721783793475093338609
y[1] (numeric) = 0.49672118563721783793475093338216
absolute error = 3.93e-30
relative error = 7.9118831924964241218846621003094e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.186
y[1] (analytic) = 0.49758556121800953265569669332762
y[1] (numeric) = 0.49758556121800953265569669332369
absolute error = 3.93e-30
relative error = 7.8981391469237797592150866551031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.187
y[1] (analytic) = 0.49845043921319814149860689400521
y[1] (numeric) = 0.49845043921319814149860689400128
absolute error = 3.93e-30
relative error = 7.8844348220526958933453078449194e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.188
y[1] (analytic) = 0.49931581875790574134803655578723
y[1] (numeric) = 0.49931581875790574134803655578329
absolute error = 3.94e-30
relative error = 7.8907974712299606994229942068478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.189
y[1] (analytic) = 0.50018169898675285961134548437864
y[1] (numeric) = 0.5001816989867528596113454843747
absolute error = 3.94e-30
relative error = 7.8771374642084806582439550194376e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 0.50104807903385933959809874850755
y[1] (numeric) = 0.50104807903385933959809874850361
absolute error = 3.94e-30
relative error = 7.8635168257650310507648075564192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.191
y[1] (analytic) = 0.50191495803284520640015121368284
y[1] (numeric) = 0.5019149580328452064001512136789
absolute error = 3.94e-30
relative error = 7.8499354062728834858775264265791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.192
y[1] (analytic) = 0.50278233511683153327155025201043
y[1] (numeric) = 0.50278233511683153327155025200649
absolute error = 3.94e-30
relative error = 7.8363930568174440413732662307499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.193
y[1] (analytic) = 0.50365020941844130850739024823778
y[1] (numeric) = 0.50365020941844130850739024823383
absolute error = 3.95e-30
relative error = 7.8427446790124764034886900163192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.194
y[1] (analytic) = 0.50451858006980030282075202324424
y[1] (numeric) = 0.50451858006980030282075202324029
absolute error = 3.95e-30
relative error = 7.8292458514679801657838220111326e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.195
y[1] (analytic) = 0.50538744620253793721685979811026
y[1] (numeric) = 0.50538744620253793721685979810631
absolute error = 3.95e-30
relative error = 7.8157857494881399894720447821691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.196
y[1] (analytic) = 0.50625680694778815136358782468059
y[1] (numeric) = 0.50625680694778815136358782467664
absolute error = 3.95e-30
relative error = 7.8023642265957242921677359377702e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.197
y[1] (analytic) = 0.50712666143619027245744831218748
y[1] (numeric) = 0.50712666143619027245744831218353
absolute error = 3.95e-30
relative error = 7.7889811370073524800993205540055e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1071.9MB, alloc=4.6MB, time=47.81
x[1] = 4.198
y[1] (analytic) = 0.50799700879788988458419178401811
y[1] (numeric) = 0.50799700879788988458419178401415
absolute error = 3.96e-30
relative error = 7.7953214909096311750746464208854e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.199
y[1] (analytic) = 0.50886784816253969857315050409848
y[1] (numeric) = 0.50886784816253969857315050409452
absolute error = 3.96e-30
relative error = 7.7819811455942469572044383762213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 0.50973917865930042234445511862287
y[1] (numeric) = 0.5097391786593004223444551186189
absolute error = 3.97e-30
relative error = 7.7882967725607558626908935581687e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.201
y[1] (analytic) = 0.51061099941684163174825416598451
y[1] (numeric) = 0.51061099941684163174825416598054
absolute error = 3.97e-30
relative error = 7.7749989806997023541283394321412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.202
y[1] (analytic) = 0.51148330956334264189506561576087
y[1] (numeric) = 0.5114833095633426418950656157569
absolute error = 3.97e-30
relative error = 7.7617390944569051281171578220253e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.203
y[1] (analytic) = 0.51235610822649337897638910647431
y[1] (numeric) = 0.51235610822649337897638910647033
absolute error = 3.98e-30
relative error = 7.7680346464037695924771726652325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.204
y[1] (analytic) = 0.51322939453349525257470706158873
y[1] (numeric) = 0.51322939453349525257470706158475
absolute error = 3.98e-30
relative error = 7.7548169344775330246776414701789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.205
y[1] (analytic) = 0.51410316761106202846200237381374
y[1] (numeric) = 0.51410316761106202846200237380976
absolute error = 3.98e-30
relative error = 7.7416367973266729847036395516028e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.206
y[1] (analytic) = 0.51497742658542070188591985927128
y[1] (numeric) = 0.5149774265854207018859198592673
absolute error = 3.98e-30
relative error = 7.7284940941772068332672763740799e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.207
y[1] (analytic) = 0.51585217058231237134269819543621
y[1] (numeric) = 0.51585217058231237134269819543223
absolute error = 3.98e-30
relative error = 7.7153886849157457630857506522746e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.208
y[1] (analytic) = 0.51672739872699311283599856999159
y[1] (numeric) = 0.51672739872699311283599856998761
absolute error = 3.98e-30
relative error = 7.7023204300857801514748234727100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.209
y[1] (analytic) = 0.51760311014423485462075578184293
y[1] (numeric) = 0.51760311014423485462075578183894
absolute error = 3.99e-30
relative error = 7.7086090129716374766098065903267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 0.51847930395832625243117705051315
y[1] (numeric) = 0.51847930395832625243117705050916
absolute error = 3.99e-30
relative error = 7.6955820020941544500886170669235e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.211
y[1] (analytic) = 0.51935597929307356519201330599247
y[1] (numeric) = 0.51935597929307356519201330598848
absolute error = 3.99e-30
relative error = 7.6825918234946043133421319503179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.212
y[1] (analytic) = 0.52023313527180153121222724784482
y[1] (numeric) = 0.52023313527180153121222724784083
absolute error = 3.99e-30
relative error = 7.6696383399634484169370142087959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1075.7MB, alloc=4.6MB, time=47.98
TOP MAIN SOLVE Loop
x[1] = 4.213
y[1] (analytic) = 0.52111077101735424486018197997575
y[1] (numeric) = 0.52111077101735424486018197997176
absolute error = 3.99e-30
relative error = 7.6567214149314203711576729255399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.214
y[1] (analytic) = 0.5219888856520960337194735459463
y[1] (numeric) = 0.52198888565209603371947354594231
absolute error = 3.99e-30
relative error = 7.6438409124659458191304497945599e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.215
y[1] (analytic) = 0.52286747829791233622453020907338
y[1] (numeric) = 0.52286747829791233622453020906938
absolute error = 4.00e-30
relative error = 7.6501220022732687189622639199047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.216
y[1] (analytic) = 0.52374654807621057977510084179043
y[1] (numeric) = 0.52374654807621057977510084178643
absolute error = 4.00e-30
relative error = 7.6372818392646634171683199029556e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.217
y[1] (analytic) = 0.52462609410792105932875430985334
y[1] (numeric) = 0.52462609410792105932875430984934
absolute error = 4.00e-30
relative error = 7.6244777850816514677697938522721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.218
y[1] (analytic) = 0.52550611551349781647051125896523
y[1] (numeric) = 0.52550611551349781647051125896123
absolute error = 4.00e-30
relative error = 7.6117097059686996913017376163615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.219
y[1] (analytic) = 0.52638661141291951895872923426171
y[1] (numeric) = 0.52638661141291951895872923425771
absolute error = 4.00e-30
relative error = 7.5989774687909641360703477246168e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 0.52726758092569034074636158684479
y[1] (numeric) = 0.52726758092569034074636158684079
absolute error = 4.00e-30
relative error = 7.5862809410308386696173019400105e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.221
y[1] (analytic) = 0.52814902317084084247671014617977
y[1] (numeric) = 0.52814902317084084247671014617577
absolute error = 4.00e-30
relative error = 7.5736199907845259427393049526756e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.222
y[1] (analytic) = 0.52903093726692885245279116267593
y[1] (numeric) = 0.52903093726692885245279116267193
absolute error = 4.00e-30
relative error = 7.5609944867586305604801294612250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.223
y[1] (analytic) = 0.52991332233204034807943355115842
y[1] (numeric) = 0.52991332233204034807943355115441
absolute error = 4.01e-30
relative error = 7.5672753090124412316295870114620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.224
y[1] (analytic) = 0.53079617748379033777722799320656
y[1] (numeric) = 0.53079617748379033777722799320255
absolute error = 4.01e-30
relative error = 7.5546889184642987666700464381946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.225
y[1] (analytic) = 0.53167950183932374336744498448302
y[1] (numeric) = 0.53167950183932374336744498447901
absolute error = 4.01e-30
relative error = 7.5421376715249828233325592122603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.226
y[1] (analytic) = 0.53256329451531628292703944220922
y[1] (numeric) = 0.5325632945153162829270394422052
absolute error = 4.02e-30
relative error = 7.5483985498072785265246955453648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1079.5MB, alloc=4.6MB, time=48.15
x[1] = 4.227
y[1] (analytic) = 0.53344755462797535411285901785604
y[1] (numeric) = 0.53344755462797535411285901785202
absolute error = 4.02e-30
relative error = 7.5358860775049111424451095846665e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.228
y[1] (analytic) = 0.53433228129304091795417279091514
y[1] (numeric) = 0.53433228129304091795417279091111
absolute error = 4.03e-30
relative error = 7.5421233960406169746285916464827e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.229
y[1] (analytic) = 0.53521747362578638311263655129569
y[1] (numeric) = 0.53521747362578638311263655129166
absolute error = 4.03e-30
relative error = 7.5296495323650389363045460449775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 0.53610313074101949060881041045516
y[1] (numeric) = 0.53610313074101949060881041045113
absolute error = 4.03e-30
relative error = 7.5172103442664112404872987838613e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.231
y[1] (analytic) = 0.53698925175308319901434401482004
y[1] (numeric) = 0.536989251753083199014344014816
absolute error = 4.04e-30
relative error = 7.5234280515127717806264037762285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.232
y[1] (analytic) = 0.5378758357758565701089441693852
y[1] (numeric) = 0.53787583577585657010894416938116
absolute error = 4.04e-30
relative error = 7.5110271391398727660478425333877e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.233
y[1] (analytic) = 0.53876288192275565500123921459807
y[1] (numeric) = 0.53876288192275565500123921459403
absolute error = 4.04e-30
relative error = 7.4986606085072303237700588000636e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.234
y[1] (analytic) = 0.53965038930673438071265403573697
y[1] (numeric) = 0.53965038930673438071265403573293
absolute error = 4.04e-30
relative error = 7.4863283341461386672216208229852e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.235
y[1] (analytic) = 0.54053835704028543722340912098266
y[1] (numeric) = 0.54053835704028543722340912097862
absolute error = 4.04e-30
relative error = 7.4740301911616337449445674245568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.236
y[1] (analytic) = 0.54142678423544116497975662225776
y[1] (numeric) = 0.54142678423544116497975662225372
absolute error = 4.04e-30
relative error = 7.4617660552293495460882093146633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.237
y[1] (analytic) = 0.54231567000377444286156591167214
y[1] (numeric) = 0.5423156700037744428615659116681
absolute error = 4.04e-30
relative error = 7.4495358025923944863476385479981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.238
y[1] (analytic) = 0.54320501345639957660937066606258
y[1] (numeric) = 0.54320501345639957660937066605854
absolute error = 4.04e-30
relative error = 7.4373393100582477278964043591798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.239
y[1] (analytic) = 0.5440948137039731877099890526537
y[1] (numeric) = 0.54409481370397318770998905264966
absolute error = 4.04e-30
relative error = 7.4251764549956752880633295049919e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 0.54498506985669510273982813029406
y[1] (numeric) = 0.54498506985669510273982813029002
absolute error = 4.04e-30
relative error = 7.4130471153316657926930325182566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.241
y[1] (analytic) = 0.54587578102430924316498312303713
y[1] (numeric) = 0.54587578102430924316498312303308
absolute error = 4.05e-30
relative error = 7.4192703556116243098513400012915e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1083.4MB, alloc=4.6MB, time=48.32
TOP MAIN SOLVE Loop
x[1] = 4.242
y[1] (analytic) = 0.54676694631610451559724176604196
y[1] (numeric) = 0.54676694631610451559724176603791
absolute error = 4.05e-30
relative error = 7.4071778246422336616501241728157e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.243
y[1] (analytic) = 0.54765856484091570250510346786353
y[1] (numeric) = 0.54765856484091570250510346785947
absolute error = 4.06e-30
relative error = 7.4133780801535570688012400237439e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.244
y[1] (analytic) = 0.54855063570712435337892257818761
y[1] (numeric) = 0.54855063570712435337892257818355
absolute error = 4.06e-30
relative error = 7.4013222038588011523262260745032e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.245
y[1] (analytic) = 0.54944315802265967634928459594144
y[1] (numeric) = 0.54944315802265967634928459593737
absolute error = 4.07e-30
relative error = 7.4074996486390835271888106842632e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.246
y[1] (analytic) = 0.55033613089499943025772369947795
y[1] (numeric) = 0.55033613089499943025772369947388
absolute error = 4.07e-30
relative error = 7.3954802738120235145310275953808e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.247
y[1] (analytic) = 0.55122955343117081717888952819071
y[1] (numeric) = 0.55122955343117081717888952818664
absolute error = 4.07e-30
relative error = 7.3834938178948706273427790726907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.248
y[1] (analytic) = 0.55212342473775137539327069346692
y[1] (numeric) = 0.55212342473775137539327069346285
absolute error = 4.07e-30
relative error = 7.3715401622982692118089125255470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.249
y[1] (analytic) = 0.55301774392086987280958204632945
y[1] (numeric) = 0.55301774392086987280958204632538
absolute error = 4.07e-30
relative error = 7.3596191889683156396083078326980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 0.55391251008620720083592227945516
y[1] (numeric) = 0.55391251008620720083592227945109
absolute error = 4.07e-30
relative error = 7.3477307803836614864090680218572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.251
y[1] (analytic) = 0.5548077223389972686988079924863
y[1] (numeric) = 0.55480772233899726869880799248222
absolute error = 4.08e-30
relative error = 7.3538990820085382605983882151850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.252
y[1] (analytic) = 0.55570337978402789820918990167548
y[1] (numeric) = 0.55570337978402789820918990167139
absolute error = 4.09e-30
relative error = 7.3600416135485151386804559511839e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.253
y[1] (analytic) = 0.55659948152564171897455642792261
y[1] (numeric) = 0.55659948152564171897455642791852
absolute error = 4.09e-30
relative error = 7.3481922562868569959192114138339e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.254
y[1] (analytic) = 0.55749602666773706405622945117477
y[1] (numeric) = 0.55749602666773706405622945117068
absolute error = 4.09e-30
relative error = 7.3363751566925615933539383155023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.255
y[1] (analytic) = 0.55839301431376886607095657396791
y[1] (numeric) = 0.55839301431376886607095657396381
absolute error = 4.10e-30
relative error = 7.3424987327942331643921997459414e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.256
memory used=1087.2MB, alloc=4.6MB, time=48.49
y[1] (analytic) = 0.55929044356674955373590379259276
y[1] (numeric) = 0.55929044356674955373590379258865
absolute error = 4.11e-30
relative error = 7.3485968646082979937459530111320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.257
y[1] (analytic) = 0.56018831352924994885615203096707
y[1] (numeric) = 0.56018831352924994885615203096297
absolute error = 4.10e-30
relative error = 7.3189673918213943213747171355845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.258
y[1] (analytic) = 0.56108662330340016375380054979237
y[1] (numeric) = 0.56108662330340016375380054978826
absolute error = 4.11e-30
relative error = 7.3250721533911385179338416599682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.259
y[1] (analytic) = 0.56198537199089049913777980196648
y[1] (numeric) = 0.56198537199089049913777980196237
absolute error = 4.11e-30
relative error = 7.3133576154124898423571863498074e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 0.56288455869297234241347586451402
y[1] (numeric) = 0.5628845586929723424134758645099
absolute error = 4.12e-30
relative error = 7.3194404365376642923229392302549e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.261
y[1] (analytic) = 0.56378418251045906643126813748506
y[1] (numeric) = 0.56378418251045906643126813748094
absolute error = 4.12e-30
relative error = 7.3077608911519394096793742895987e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.262
y[1] (analytic) = 0.56468424254372692867308156135934
y[1] (numeric) = 0.56468424254372692867308156135521
absolute error = 4.13e-30
relative error = 7.3138219359471307185966332593562e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.263
y[1] (analytic) = 0.56558473789271597087605416647856
y[1] (numeric) = 0.56558473789271597087605416647443
absolute error = 4.13e-30
relative error = 7.3021772394137816986523468446532e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.264
y[1] (analytic) = 0.56648566765693091909242033091438
y[1] (numeric) = 0.56648566765693091909242033091025
absolute error = 4.13e-30
relative error = 7.2905639732816101564843723736047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.265
y[1] (analytic) = 0.56738703093544208418470968696369
y[1] (numeric) = 0.56738703093544208418470968695956
absolute error = 4.13e-30
relative error = 7.2789820260624108429075962409610e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.266
y[1] (analytic) = 0.56828882682688626275536118114738
y[1] (numeric) = 0.56828882682688626275536118114325
absolute error = 4.13e-30
relative error = 7.2674312867637853281607687150783e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.267
y[1] (analytic) = 0.56919105442946763850985135817363
y[1] (numeric) = 0.5691910544294676385098513581695
absolute error = 4.13e-30
relative error = 7.2559116448865002025039971429538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.268
y[1] (analytic) = 0.5700937128409586840524355058125
y[1] (numeric) = 0.57009371284095868405243550580837
absolute error = 4.13e-30
relative error = 7.2444229904218616872862853235737e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.269
y[1] (analytic) = 0.57099680115870106311359986501588
y[1] (numeric) = 0.57099680115870106311359986501174
absolute error = 4.14e-30
relative error = 7.2504784468124215680301619810494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 0.57190031847960653320832267790571
y[1] (numeric) = 0.57190031847960653320832267790157
absolute error = 4.14e-30
relative error = 7.2390237707965689668940140231521e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1091.0MB, alloc=4.6MB, time=48.66
TOP MAIN SOLVE Loop
x[1] = 4.271
y[1] (analytic) = 0.57280426390015784872424141544473
y[1] (numeric) = 0.57280426390015784872424141544059
absolute error = 4.14e-30
relative error = 7.2275998293225329682948506524890e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.272
y[1] (analytic) = 0.5737086365164096644388230966977
y[1] (numeric) = 0.57370863651640966443882309669356
absolute error = 4.14e-30
relative error = 7.2162065140561719129411935441104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.273
y[1] (analytic) = 0.57461343542398943946463418258814
y[1] (numeric) = 0.574613435423989439464634182584
absolute error = 4.14e-30
relative error = 7.2048437171421554926549988136438e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.274
y[1] (analytic) = 0.57551865971809834162180609895597
y[1] (numeric) = 0.57551865971809834162180609895182
absolute error = 4.15e-30
relative error = 7.2108869624362153489314600093420e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.275
y[1] (analytic) = 0.57642430849351215223679201652589
y[1] (numeric) = 0.57642430849351215223679201652174
absolute error = 4.15e-30
relative error = 7.1995575808488125783942317021935e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.276
y[1] (analytic) = 0.57733038084458217136651008910521
y[1] (numeric) = 0.57733038084458217136651008910106
absolute error = 4.15e-30
relative error = 7.1882584698364999486113680802132e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.277
y[1] (analytic) = 0.57823687586523612344696792594319
y[1] (numeric) = 0.57823687586523612344696792593904
absolute error = 4.15e-30
relative error = 7.1769895231780391157964989261797e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.278
y[1] (analytic) = 0.57914379264897906336546264970299
y[1] (numeric) = 0.57914379264897906336546264969883
absolute error = 4.16e-30
relative error = 7.1830175041198957167420467284788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.279
y[1] (analytic) = 0.58005113028889428295545046792163
y[1] (numeric) = 0.58005113028889428295545046791746
absolute error = 4.17e-30
relative error = 7.1890214194102730424610920539024e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 0.58095888787764421791317926316396
y[1] (numeric) = 0.58095888787764421791317926315979
absolute error = 4.17e-30
relative error = 7.1777884580332712294030967059951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.281
y[1] (analytic) = 0.58186706450747135513517728531364
y[1] (numeric) = 0.58186706450747135513517728530946
absolute error = 4.18e-30
relative error = 7.1837714401969343503894861056482e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.282
y[1] (analytic) = 0.58277565927019914047569060858792
y[1] (numeric) = 0.58277565927019914047569060858374
absolute error = 4.18e-30
relative error = 7.1725713548753026847199422486656e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.283
y[1] (analytic) = 0.58368467125723288692316159591463
y[1] (numeric) = 0.58368467125723288692316159591045
absolute error = 4.18e-30
relative error = 7.1614010198288249054513164508517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.284
y[1] (analytic) = 0.5845940995595606831948401942684
y[1] (numeric) = 0.58459409955956068319484019426422
absolute error = 4.18e-30
relative error = 7.1502603313123683172687769228047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.285
y[1] (analytic) = 0.58550394326775430274861946643063
y[1] (numeric) = 0.58550394326775430274861946642645
absolute error = 4.18e-30
relative error = 7.1391491860345372387610859852479e-28 %
Correct digits = 29
h = 0.001
memory used=1094.8MB, alloc=4.6MB, time=48.83
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.286
y[1] (analytic) = 0.58641420147197011321118634741344
y[1] (numeric) = 0.58641420147197011321118634740925
absolute error = 4.19e-30
relative error = 7.1451202741724134598358800409514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.287
y[1] (analytic) = 0.58732487326194998622157819747251
y[1] (numeric) = 0.58732487326194998622157819746831
absolute error = 4.20e-30
relative error = 7.1510678181796974288168057814934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.288
y[1] (analytic) = 0.58823595772702220768923530822825
y[1] (numeric) = 0.58823595772702220768923530822405
absolute error = 4.20e-30
relative error = 7.1399919451184914443722061087145e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.289
y[1] (analytic) = 0.58914745395610238846563910391855
y[1] (numeric) = 0.58914745395610238846563910391435
absolute error = 4.20e-30
relative error = 7.1289453460201894947835661864769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 0.59005936103769437542862536622075
y[1] (numeric) = 0.59005936103769437542862536621655
absolute error = 4.20e-30
relative error = 7.1179279193431763092296473156832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.291
y[1] (analytic) = 0.59097167805989116297846139840566
y[1] (numeric) = 0.59097167805989116297846139840145
absolute error = 4.21e-30
relative error = 7.1238608486637894157709477518063e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.292
y[1] (analytic) = 0.59188440411037580494477563282229
y[1] (numeric) = 0.59188440411037580494477563281808
absolute error = 4.21e-30
relative error = 7.1128753701962903140504365945516e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.293
y[1] (analytic) = 0.59279753827642232690342777485981
y[1] (numeric) = 0.5927975382764223269034277748556
absolute error = 4.21e-30
relative error = 7.1019188309059257113205362216826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.294
y[1] (analytic) = 0.59371107964489663890240716659251
y[1] (numeric) = 0.59371107964489663890240716658829
absolute error = 4.22e-30
relative error = 7.1078343401036340172322389881538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.295
y[1] (analytic) = 0.59462502730225744859584664428544
y[1] (numeric) = 0.59462502730225744859584664428122
absolute error = 4.22e-30
relative error = 7.0969094912564220817049226601261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.296
y[1] (analytic) = 0.59553938033455717478523875582317
y[1] (numeric) = 0.59553938033455717478523875581894
absolute error = 4.23e-30
relative error = 7.1028048516685927230788143504981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.297
y[1] (analytic) = 0.59645413782744286136694079692127
y[1] (numeric) = 0.59645413782744286136694079691704
absolute error = 4.23e-30
relative error = 7.0919115682684055209942856633162e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.298
y[1] (analytic) = 0.59736929886615709168505471869192
y[1] (numeric) = 0.59736929886615709168505471868769
absolute error = 4.23e-30
relative error = 7.0810468633536989086305220228972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.299
y[1] (analytic) = 0.59828486253553890328876755375979
y[1] (numeric) = 0.59828486253553890328876755375555
absolute error = 4.24e-30
relative error = 7.0869250845338552332268150914659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1098.6MB, alloc=4.6MB, time=49.00
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 0.59920082792002470309323760366397
y[1] (numeric) = 0.59920082792002470309323760365972
absolute error = 4.25e-30
relative error = 7.0927805870242342744923303361184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.301
y[1] (analytic) = 0.60011719410364918294311122673613
y[1] (numeric) = 0.60011719410364918294311122673189
absolute error = 4.24e-30
relative error = 7.0652866501066936793308572118470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.302
y[1] (analytic) = 0.60103396017004623557775466301442
y[1] (numeric) = 0.60103396017004623557775466301017
absolute error = 4.25e-30
relative error = 7.0711478579306532455257418012186e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.303
y[1] (analytic) = 0.60195112520244987099728493103741
y[1] (numeric) = 0.60195112520244987099728493103316
absolute error = 4.25e-30
relative error = 7.0603738776476715103367046971819e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.304
y[1] (analytic) = 0.60286868828369513322848343056386
y[1] (numeric) = 0.60286868828369513322848343055961
absolute error = 4.25e-30
relative error = 7.0496280244696583717528050130397e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.305
y[1] (analytic) = 0.60378664849621901748967548538083
y[1] (numeric) = 0.60378664849621901748967548537657
absolute error = 4.26e-30
relative error = 7.0554723437656084863457461450426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.306
y[1] (analytic) = 0.60470500492206138775365866139718
y[1] (numeric) = 0.60470500492206138775365866139292
absolute error = 4.26e-30
relative error = 7.0447573036857179772499853671498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.307
y[1] (analytic) = 0.60562375664286589470776229717057
y[1] (numeric) = 0.60562375664286589470776229716631
absolute error = 4.26e-30
relative error = 7.0340701686048725400769256164658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.308
y[1] (analytic) = 0.60654290273988089411012028688487
y[1] (numeric) = 0.60654290273988089411012028688061
absolute error = 4.26e-30
relative error = 7.0234108432506436380538171758743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.309
y[1] (analytic) = 0.60746244229396036554123875958183
y[1] (numeric) = 0.60746244229396036554123875957756
absolute error = 4.27e-30
relative error = 7.0292411558403502094235663160908e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 0.60838237438556483154993990315575
y[1] (numeric) = 0.60838237438556483154993990315148
absolute error = 4.27e-30
relative error = 7.0186122737570795253751236120254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.311
y[1] (analytic) = 0.60930269809476227719276278724413
y[1] (numeric) = 0.60930269809476227719276278723985
absolute error = 4.28e-30
relative error = 7.0244231863459591358911301100979e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.312
y[1] (analytic) = 0.61022341250122906996590164568984
y[1] (numeric) = 0.61022341250122906996590164568556
absolute error = 4.28e-30
relative error = 7.0138246293383237222186702378340e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.313
y[1] (analytic) = 0.61114451668425088012876168671345
y[1] (numeric) = 0.61114451668425088012876168670917
absolute error = 4.28e-30
relative error = 7.0032535401299708323018011100243e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.314
y[1] (analytic) = 0.61206600972272360141821210731642
y[1] (numeric) = 0.61206600972272360141821210731214
absolute error = 4.28e-30
relative error = 6.9927098254302887963388020697856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1102.4MB, alloc=4.6MB, time=49.16
TOP MAIN SOLVE Loop
x[1] = 4.315
y[1] (analytic) = 0.61298789069515427215261559773893
y[1] (numeric) = 0.61298789069515427215261559773465
absolute error = 4.28e-30
relative error = 6.9821933923462964893396316099413e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.316
y[1] (analytic) = 0.61391015867966199672471323201962
y[1] (numeric) = 0.61391015867966199672471323201533
absolute error = 4.29e-30
relative error = 6.9879931767646799621475650418565e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.317
y[1] (analytic) = 0.61483281275397886748244325184909
y[1] (numeric) = 0.6148328127539788674824432518448
absolute error = 4.29e-30
relative error = 6.9775065855449293860711269211936e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.318
y[1] (analytic) = 0.61575585199545088699677186297529
y[1] (numeric) = 0.615755851995450886996771862971
absolute error = 4.29e-30
relative error = 6.9670470627239672330180956158048e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.319
y[1] (analytic) = 0.61667927548103889071561377640673
y[1] (numeric) = 0.61667927548103889071561377640243
absolute error = 4.30e-30
relative error = 6.9728304014202478242076419177769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 0.61760308228731947000291984056992
y[1] (numeric) = 0.61760308228731947000291984056562
absolute error = 4.30e-30
relative error = 6.9624004855590516346242934248106e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.321
y[1] (analytic) = 0.61852727149048589556200872541046
y[1] (numeric) = 0.61852727149048589556200872540615
absolute error = 4.31e-30
relative error = 6.9681648629882536201924144352157e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.322
y[1] (analytic) = 0.61945184216634904124221923518272
y[1] (numeric) = 0.61945184216634904124221923517841
absolute error = 4.31e-30
relative error = 6.9577644404560226590478596827618e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.323
y[1] (analytic) = 0.62037679339033830822795944335318
y[1] (numeric) = 0.62037679339033830822795944334887
absolute error = 4.31e-30
relative error = 6.9473907565851955482093147579017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.324
y[1] (analytic) = 0.62130212423750254960922846064497
y[1] (numeric) = 0.62130212423750254960922846064066
absolute error = 4.31e-30
relative error = 6.9370437213448741234786157270692e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.325
y[1] (analytic) = 0.6222278337825109953326862657791
y[1] (numeric) = 0.62222783378251099533268626577479
absolute error = 4.31e-30
relative error = 6.9267232450846712591443001927986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.326
y[1] (analytic) = 0.62315392109965417753234664791956
y[1] (numeric) = 0.62315392109965417753234664791524
absolute error = 4.32e-30
relative error = 6.9324766381581505644768975297049e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.327
y[1] (analytic) = 0.62408038526284485623896793020641
y[1] (numeric) = 0.62408038526284485623896793020209
absolute error = 4.32e-30
relative error = 6.9221851896219094099141030677269e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.328
y[1] (analytic) = 0.62500722534561894546721576506342
y[1] (numeric) = 0.6250072253456189454672157650591
absolute error = 4.32e-30
relative error = 6.9119200943814840953657983785255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1106.3MB, alloc=4.6MB, time=49.34
TOP MAIN SOLVE Loop
x[1] = 4.329
y[1] (analytic) = 0.62593444042113643967967191419444
y[1] (numeric) = 0.62593444042113643967967191419012
absolute error = 4.32e-30
relative error = 6.9016812640848625051521426027543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 0.62686202956218234062676254933714
y[1] (numeric) = 0.62686202956218234062676254933281
absolute error = 4.33e-30
relative error = 6.9074210843878850525881325399100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.331
y[1] (analytic) = 0.62778999184116758456167923392282
y[1] (numeric) = 0.62778999184116758456167923391849
absolute error = 4.33e-30
relative error = 6.8972109403991592676603393729217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.332
y[1] (analytic) = 0.62871832633012996982936537079885
y[1] (numeric) = 0.62871832633012996982936537079452
absolute error = 4.33e-30
relative error = 6.8870268587119027780962290123524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.333
y[1] (analytic) = 0.62964703210073508482864052710433
y[1] (numeric) = 0.62964703210073508482864052709999
absolute error = 4.34e-30
relative error = 6.8927506662266902846847467485076e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.334
y[1] (analytic) = 0.63057610822427723634653467425214
y[1] (numeric) = 0.6305761082242772363465346742478
absolute error = 4.34e-30
relative error = 6.8825950482354631230167157245676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.335
y[1] (analytic) = 0.63150555377168037826390400876047
y[1] (numeric) = 0.63150555377168037826390400875613
absolute error = 4.34e-30
relative error = 6.8724652919982373992921146138441e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.336
y[1] (analytic) = 0.63243536781349904063139964839534
y[1] (numeric) = 0.63243536781349904063139964839099
absolute error = 4.35e-30
relative error = 6.8781732037522384440763786150520e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.337
y[1] (analytic) = 0.63336554941991925911486012773289
y[1] (numeric) = 0.63336554941991925911486012772854
absolute error = 4.35e-30
relative error = 6.8680716909595668961535419387075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.338
y[1] (analytic) = 0.63429609766075950480919824782645
y[1] (numeric) = 0.6342960976607595048091982478221
absolute error = 4.35e-30
relative error = 6.8579958414414050285818428262466e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.339
y[1] (analytic) = 0.63522701160547161441985246616885
y[1] (numeric) = 0.6352270116054716144198524661645
absolute error = 4.35e-30
relative error = 6.8479455698929076873553548239692e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 0.63615829032314172081087264557633
y[1] (numeric) = 0.63615829032314172081087264557197
absolute error = 4.36e-30
relative error = 6.8536401495063483779642832515270e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.341
y[1] (analytic) = 0.63708993288249118391870961398561
y[1] (numeric) = 0.63708993288249118391870961398125
absolute error = 4.36e-30
relative error = 6.8436177923473567498540148561409e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.342
y[1] (analytic) = 0.63802193835187752203077762145238
y[1] (numeric) = 0.63802193835187752203077762144801
absolute error = 4.37e-30
relative error = 6.8492942598313716732901867894652e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.343
y[1] (analytic) = 0.63895430579929534342785841586609
y[1] (numeric) = 0.63895430579929534342785841586172
absolute error = 4.37e-30
relative error = 6.8392997125723718027589042176274e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1110.1MB, alloc=4.6MB, time=49.51
TOP MAIN SOLVE Loop
x[1] = 4.344
y[1] (analytic) = 0.63988703429237727838941529505488
y[1] (numeric) = 0.6398870342923772783894152950505
absolute error = 4.38e-30
relative error = 6.8449581961660591358624812802054e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.345
y[1] (analytic) = 0.640820122898394911560885130044
y[1] (numeric) = 0.64082012289839491156088513003963
absolute error = 4.37e-30
relative error = 6.8193863517186777753027414802608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.346
y[1] (analytic) = 0.64175357068425971468201599225365
y[1] (numeric) = 0.64175357068425971468201599224928
absolute error = 4.37e-30
relative error = 6.8094673713159956388973720466189e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.347
y[1] (analytic) = 0.64268737671652397967531765637609
y[1] (numeric) = 0.64268737671652397967531765637171
absolute error = 4.38e-30
relative error = 6.8151330781963169053967494913755e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.348
y[1] (analytic) = 0.64362154006138175209369189055945
y[1] (numeric) = 0.64362154006138175209369189055507
absolute error = 4.38e-30
relative error = 6.8052414771299952992764925441631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.349
y[1] (analytic) = 0.64455605978466976492630908634576
y[1] (numeric) = 0.64455605978466976492630908634137
absolute error = 4.39e-30
relative error = 6.8108893452442141398412008131167e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 0.64549093495186837276179742256413
y[1] (numeric) = 0.64549093495186837276179742255974
absolute error = 4.39e-30
relative error = 6.8010250218732264631888140564341e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.351
y[1] (analytic) = 0.64642616462810248630781040006813
y[1] (numeric) = 0.64642616462810248630781040006374
absolute error = 4.39e-30
relative error = 6.7911855061213758337720966589640e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.352
y[1] (analytic) = 0.64736174787814250726603822782743
y[1] (numeric) = 0.64736174787814250726603822782303
absolute error = 4.40e-30
relative error = 6.7968180301382948003928672413114e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.353
y[1] (analytic) = 0.64829768376640526356172818544028
y[1] (numeric) = 0.64829768376640526356172818543588
absolute error = 4.40e-30
relative error = 6.7870055842824957256295683316061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.354
y[1] (analytic) = 0.64923397135695494492677873262456
y[1] (numeric) = 0.64923397135695494492677873262015
absolute error = 4.41e-30
relative error = 6.7926205259757433645471113828798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.355
y[1] (analytic) = 0.65017060971350403883547178267101
y[1] (numeric) = 0.6501706097135040388354717826666
absolute error = 4.41e-30
relative error = 6.7828350499313631648938063090364e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.356
y[1] (analytic) = 0.65110759789941426679190720420458
y[1] (numeric) = 0.65110759789941426679190720420017
absolute error = 4.41e-30
relative error = 6.7730740882573368821908584855403e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.357
y[1] (analytic) = 0.65204493497769752096820326389726
y[1] (numeric) = 0.65204493497769752096820326389285
absolute error = 4.41e-30
relative error = 6.7633375607017623626391858100196e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1113.9MB, alloc=4.6MB, time=49.68
x[1] = 4.358
y[1] (analytic) = 0.65298262001101680119252637201012
y[1] (numeric) = 0.65298262001101680119252637200571
absolute error = 4.41e-30
relative error = 6.7536253873427697842537459768187e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.359
y[1] (analytic) = 0.6539206520616871522860131428128
y[1] (numeric) = 0.65392065206168715228601314280838
absolute error = 4.42e-30
relative error = 6.7592298638444628264361021295822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 0.65485903019167660174764743303657
y[1] (numeric) = 0.65485903019167660174764743303215
absolute error = 4.42e-30
relative error = 6.7495442472653546448596636836161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.361
y[1] (analytic) = 0.65579775346260709778615467356208
y[1] (numeric) = 0.65579775346260709778615467355765
absolute error = 4.43e-30
relative error = 6.7551314053908145449044364262139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.362
y[1] (analytic) = 0.65673682093575544769797546252547
y[1] (numeric) = 0.65673682093575544769797546252104
absolute error = 4.43e-30
relative error = 6.7454722482103068264722773929288e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.363
y[1] (analytic) = 0.65767623167205425659038004194775
y[1] (numeric) = 0.65767623167205425659038004194332
absolute error = 4.43e-30
relative error = 6.7358371591707287433954086335152e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.364
y[1] (analytic) = 0.65861598473209286644878493485086
y[1] (numeric) = 0.65861598473209286644878493484643
absolute error = 4.43e-30
relative error = 6.7262260599429634908372329107578e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.365
y[1] (analytic) = 0.65955607917611829554733267562227
y[1] (numeric) = 0.65955607917611829554733267561784
absolute error = 4.43e-30
relative error = 6.7166388725181881159875389871724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.366
y[1] (analytic) = 0.6604965140640361782017952231266
y[1] (numeric) = 0.66049651406403617820179522312216
absolute error = 4.44e-30
relative error = 6.7222156445318271597658487921082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.367
y[1] (analytic) = 0.66143728845541170486386130373908
y[1] (numeric) = 0.66143728845541170486386130373464
absolute error = 4.44e-30
relative error = 6.7126545138818641317224409658075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.368
y[1] (analytic) = 0.66237840140947056255586759009205
y[1] (numeric) = 0.66237840140947056255586759008761
absolute error = 4.44e-30
relative error = 6.7031171163675532703294064781156e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.369
y[1] (analytic) = 0.66331985198509987564503328088143
y[1] (numeric) = 0.66331985198509987564503328087699
absolute error = 4.44e-30
relative error = 6.6936033750724160787990466139164e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 0.66426163924084914695625730757717
y[1] (numeric) = 0.66426163924084914695625730757273
absolute error = 4.44e-30
relative error = 6.6841132133932199483751839962315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.371
y[1] (analytic) = 0.66520376223493119922253705531886
y[1] (numeric) = 0.66520376223493119922253705531442
absolute error = 4.44e-30
relative error = 6.6746465550384504296267662416096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.372
y[1] (analytic) = 0.66614622002522311687206714765617
y[1] (numeric) = 0.66614622002522311687206714765173
absolute error = 4.44e-30
relative error = 6.6652033240267921922336837430301e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1117.7MB, alloc=4.6MB, time=49.84
TOP MAIN SOLVE Loop
x[1] = 4.373
y[1] (analytic) = 0.66708901166926718815107650811389
y[1] (numeric) = 0.66708901166926718815107650810944
absolute error = 4.45e-30
relative error = 6.6707739479394150551689001772365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.374
y[1] (analytic) = 0.66803213622427184758146157582296
y[1] (numeric) = 0.66803213622427184758146157581851
absolute error = 4.45e-30
relative error = 6.6613561813829347601970147506574e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.375
y[1] (analytic) = 0.66897559274711261875227321766289
y[1] (numeric) = 0.66897559274711261875227321765843
absolute error = 4.46e-30
relative error = 6.6669098967949603279697379754834e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.376
y[1] (analytic) = 0.66991938029433305744411454550711
y[1] (numeric) = 0.66991938029433305744411454550265
absolute error = 4.46e-30
relative error = 6.6575175031366796976586550095731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.377
y[1] (analytic) = 0.67086349792214569508550651425216
y[1] (numeric) = 0.6708634979221456950855065142477
absolute error = 4.46e-30
relative error = 6.6481482653533595029008142564221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.378
y[1] (analytic) = 0.67180794468643298254027784434362
y[1] (numeric) = 0.67180794468643298254027784433916
absolute error = 4.46e-30
relative error = 6.6388021089594428312569686550614e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.379
y[1] (analytic) = 0.67275271964274823422503548148759
y[1] (numeric) = 0.67275271964274823422503548148313
absolute error = 4.46e-30
relative error = 6.6294789597705276680947435997805e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 0.67369782184631657255577147615592
y[1] (numeric) = 0.67369782184631657255577147615145
absolute error = 4.47e-30
relative error = 6.6350221940003436020348270605686e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.381
y[1] (analytic) = 0.67464325035203587272266183635695
y[1] (numeric) = 0.67464325035203587272266183635248
absolute error = 4.47e-30
relative error = 6.6257240366186239265707392686022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.382
y[1] (analytic) = 0.67558900421447770779211257895175
y[1] (numeric) = 0.67558900421447770779211257894728
absolute error = 4.47e-30
relative error = 6.6164487167717715629112366907542e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.383
y[1] (analytic) = 0.67653508248788829413510787754849
y[1] (numeric) = 0.67653508248788829413510787754402
absolute error = 4.47e-30
relative error = 6.6071961613018411598741181725592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.384
y[1] (analytic) = 0.67748148422618943718091487870557
y[1] (numeric) = 0.6774814842261894371809148787011
absolute error = 4.47e-30
relative error = 6.5979662973454927908624261659667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.385
y[1] (analytic) = 0.67842820848297947749519943281759
y[1] (numeric) = 0.67842820848297947749519943281311
absolute error = 4.48e-30
relative error = 6.6034990054697806738279612169807e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.386
y[1] (analytic) = 0.67937525431153423718160666164711
y[1] (numeric) = 0.67937525431153423718160666164263
absolute error = 4.48e-30
relative error = 6.5942937596983061791369856969665e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1121.5MB, alloc=4.6MB, time=50.01
x[1] = 4.387
y[1] (analytic) = 0.68032262076480796660585996100074
y[1] (numeric) = 0.68032262076480796660585996099626
absolute error = 4.48e-30
relative error = 6.5851110388827797853880842043858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.388
y[1] (analytic) = 0.68127030689543429144143171452921
y[1] (numeric) = 0.68127030689543429144143171452472
absolute error = 4.49e-30
relative error = 6.5906292327065324682714695129908e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.389
y[1] (analytic) = 0.68221831175572716003583867305972
y[1] (numeric) = 0.68221831175572716003583867305523
absolute error = 4.49e-30
relative error = 6.5814709494453948342017706429765e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 0.68316663439768179109661463324426
y[1] (numeric) = 0.68316663439768179109661463323977
absolute error = 4.49e-30
relative error = 6.5723350262248054038949210160569e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.391
y[1] (analytic) = 0.68411527387297562169601272962994
y[1] (numeric) = 0.68411527387297562169601272962544
absolute error = 4.50e-30
relative error = 6.5778388114684103451410636915159e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.392
y[1] (analytic) = 0.68506422923296925559348933552827
y[1] (numeric) = 0.68506422923296925559348933552377
absolute error = 4.50e-30
relative error = 6.5687271469981955901642696589792e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.393
y[1] (analytic) = 0.6860134995287074118750212502784
y[1] (numeric) = 0.6860134995287074118750212502739
absolute error = 4.50e-30
relative error = 6.5596376792752746396795011543182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.394
y[1] (analytic) = 0.68696308381091987390830753366623
y[1] (numeric) = 0.68696308381091987390830753366173
absolute error = 4.50e-30
relative error = 6.5505703378357703213212079527573e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.395
y[1] (analytic) = 0.68791298113002243861290703237658
y[1] (numeric) = 0.68791298113002243861290703237207
absolute error = 4.51e-30
relative error = 6.5560617748359728370047481269126e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.396
y[1] (analytic) = 0.68886319053611786604436232842004
y[1] (numeric) = 0.68886319053611786604436232841553
absolute error = 4.51e-30
relative error = 6.5470184239195978139216596591960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.397
y[1] (analytic) = 0.68981371107899682929136052548976
y[1] (numeric) = 0.68981371107899682929136052548524
absolute error = 4.52e-30
relative error = 6.5524937057714902006238250404452e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.398
y[1] (analytic) = 0.69076454180813886468498097616634
y[1] (numeric) = 0.69076454180813886468498097616182
absolute error = 4.52e-30
relative error = 6.5434742613865064323093478531362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.399
y[1] (analytic) = 0.69171568177271332231907974080253
y[1] (numeric) = 0.69171568177271332231907974079801
absolute error = 4.52e-30
relative error = 6.5344766919498573659584795912362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 0.69266713002158031688086025778229
y[1] (numeric) = 0.69266713002158031688086025777777
absolute error = 4.52e-30
relative error = 6.5255009283595969425597719736369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.401
y[1] (analytic) = 0.69361888560329167879067939466289
y[1] (numeric) = 0.69361888560329167879067939465837
absolute error = 4.52e-30
relative error = 6.5165469017883235398095046550861e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1125.3MB, alloc=4.6MB, time=50.18
TOP MAIN SOLVE Loop
x[1] = 4.402
y[1] (analytic) = 0.69457094756609190565013774047324
y[1] (numeric) = 0.69457094756609190565013774046871
absolute error = 4.53e-30
relative error = 6.5220119209909046814383141590842e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.403
y[1] (analytic) = 0.69552331495791911399750269115737
y[1] (numeric) = 0.69552331495791911399750269115284
absolute error = 4.53e-30
relative error = 6.5130814490008523121620802258028e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.404
y[1] (analytic) = 0.69647598682640599136951257281944
y[1] (numeric) = 0.6964759868264059913695125728149
absolute error = 4.54e-30
relative error = 6.5185305536335423566951449522046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.405
y[1] (analytic) = 0.6974289622188807486686097410453
y[1] (numeric) = 0.69742896221888074866860974104076
absolute error = 4.54e-30
relative error = 6.5096235544275672378172296953422e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.406
y[1] (analytic) = 0.69838224018236807283465028914709
y[1] (numeric) = 0.69838224018236807283465028914254
absolute error = 4.55e-30
relative error = 6.5150568531236728432379015247446e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.407
y[1] (analytic) = 0.6993358197635900798201376937003
y[1] (numeric) = 0.69933581976359007982013769369575
absolute error = 4.55e-30
relative error = 6.5061732452630896235073483321999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.408
y[1] (analytic) = 0.70028970000896726786802742221932
y[1] (numeric) = 0.70028970000896726786802742221477
absolute error = 4.55e-30
relative error = 6.4973110413329467382862767739346e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.409
y[1] (analytic) = 0.70124387996461947109114922524613
y[1] (numeric) = 0.70124387996461947109114922524158
absolute error = 4.55e-30
relative error = 6.4884701742132359238172138006742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 0.70219835867636681335229353350936
y[1] (numeric) = 0.70219835867636681335229353350481
absolute error = 4.55e-30
relative error = 6.4796505770487423833668266293635e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.411
y[1] (analytic) = 0.70315313518973066244400808014686
y[1] (numeric) = 0.7031531351897306624440080801423
absolute error = 4.56e-30
relative error = 6.4850738363977892881355674526231e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.412
y[1] (analytic) = 0.70410820854993458456715056827456
y[1] (numeric) = 0.70410820854993458456715056827
absolute error = 4.56e-30
relative error = 6.4762772889568007131595171819134e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.413
y[1] (analytic) = 0.70506357780190529910724290542864
y[1] (numeric) = 0.70506357780190529910724290542408
absolute error = 4.56e-30
relative error = 6.4675018587914887956964506598388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.414
y[1] (analytic) = 0.70601924199027363370767222860622
y[1] (numeric) = 0.70601924199027363370767222860166
absolute error = 4.56e-30
relative error = 6.4587474799487407508641674819829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.415
y[1] (analytic) = 0.70697520015937547963878364678316
y[1] (numeric) = 0.7069752001593754796387836467786
absolute error = 4.56e-30
relative error = 6.4500140867346208342948362807122e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1129.1MB, alloc=4.6MB, time=50.36
x[1] = 4.416
y[1] (analytic) = 0.70793145135325274746190933189589
y[1] (numeric) = 0.70793145135325274746190933189133
absolute error = 4.56e-30
relative error = 6.4413016137131510318009578063799e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.417
y[1] (analytic) = 0.70888799461565432298737829433777
y[1] (numeric) = 0.70888799461565432298737829433321
absolute error = 4.56e-30
relative error = 6.4326099957050984390805400251217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.418
y[1] (analytic) = 0.7098448289900370235255508850399
y[1] (numeric) = 0.70984482899003702352555088503534
absolute error = 4.56e-30
relative error = 6.4239391677867692895484229952223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.419
y[1] (analytic) = 0.71080195351956655442992177318152
y[1] (numeric) = 0.71080195351956655442992177317696
absolute error = 4.56e-30
relative error = 6.4152890652888095886758765515498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 0.71175936724711846593133485650678
y[1] (numeric) = 0.71175936724711846593133485650222
absolute error = 4.56e-30
relative error = 6.4066596237950123135134709944935e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.421
y[1] (analytic) = 0.7127170692152791102623532701127
y[1] (numeric) = 0.71271706921527911026235327010813
absolute error = 4.57e-30
relative error = 6.4120815922532827397320265711989e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.422
y[1] (analytic) = 0.71367505846634659907082736941801
y[1] (numeric) = 0.71367505846634659907082736941345
absolute error = 4.56e-30
relative error = 6.3894624674137006318510343201179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.423
y[1] (analytic) = 0.71463333404233176112170327382483
y[1] (numeric) = 0.71463333404233176112170327382027
absolute error = 4.56e-30
relative error = 6.3808946249488629269480792671324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.424
y[1] (analytic) = 0.7155918949849591002861142693442
y[1] (numeric) = 0.71559189498495910028611426933963
absolute error = 4.57e-30
relative error = 6.3863216339196463694385530470438e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.425
y[1] (analytic) = 0.71655074033566775381679708117414
y[1] (numeric) = 0.71655074033566775381679708116957
absolute error = 4.57e-30
relative error = 6.3777758402136132179117709381795e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.426
y[1] (analytic) = 0.71750986913561245090887474089372
y[1] (numeric) = 0.71750986913561245090887474088914
absolute error = 4.58e-30
relative error = 6.3831874612645367025148447536186e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.427
y[1] (analytic) = 0.71846928042566447154504748757007
y[1] (numeric) = 0.71846928042566447154504748756549
absolute error = 4.58e-30
relative error = 6.3746636422458204050784261826768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.428
y[1] (analytic) = 0.71942897324641260562423285766753
y[1] (numeric) = 0.71942897324641260562423285766295
absolute error = 4.58e-30
relative error = 6.3661600662714732094186973461547e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.429
y[1] (analytic) = 0.72038894663816411237269583519855
y[1] (numeric) = 0.72038894663816411237269583519397
absolute error = 4.58e-30
relative error = 6.3576766708782326465298050065063e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 0.72134919964094568003670965106636
y[1] (numeric) = 0.72134919964094568003670965106177
absolute error = 4.59e-30
relative error = 6.3630763051857408806067745756292e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1133.0MB, alloc=4.6MB, time=50.53
TOP MAIN SOLVE Loop
x[1] = 4.431
y[1] (analytic) = 0.72230973129450438585578753901835
y[1] (numeric) = 0.72230973129450438585578753901376
absolute error = 4.59e-30
relative error = 6.3546146495547325185941499428858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.432
y[1] (analytic) = 0.7232705406383086563155254750587
y[1] (numeric) = 0.72327054063830865631552547505411
absolute error = 4.59e-30
relative error = 6.3461730322227458884970969763086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.433
y[1] (analytic) = 0.72423162671154922767909564755722
y[1] (numeric) = 0.72423162671154922767909564755262
absolute error = 4.60e-30
relative error = 6.3515591287925239091251312042505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.434
y[1] (analytic) = 0.72519298855314010679643012664118
y[1] (numeric) = 0.72519298855314010679643012663658
absolute error = 4.60e-30
relative error = 6.3431390989833389858476462616161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.435
y[1] (analytic) = 0.72615462520171953219013392376652
y[1] (numeric) = 0.72615462520171953219013392376192
absolute error = 4.60e-30
relative error = 6.3347389665419529884871900513628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.436
y[1] (analytic) = 0.72711653569565093541716635563537
y[1] (numeric) = 0.72711653569565093541716635563077
absolute error = 4.60e-30
relative error = 6.3263586704145885956803205070774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.437
y[1] (analytic) = 0.72807871907302390270532935085868
y[1] (numeric) = 0.72807871907302390270532935085408
absolute error = 4.60e-30
relative error = 6.3179981497833548377861177966681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.438
y[1] (analytic) = 0.72904117437165513686360106295584
y[1] (numeric) = 0.72904117437165513686360106295124
absolute error = 4.60e-30
relative error = 6.3096573440651562379781841735748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.439
y[1] (analytic) = 0.73000390062908941946535287943776
y[1] (numeric) = 0.73000390062908941946535287943316
absolute error = 4.60e-30
relative error = 6.3013361929106078372264159891010e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 0.73096689688260057330348764383661
y[1] (numeric) = 0.73096689688260057330348764383201
absolute error = 4.60e-30
relative error = 6.2930346362029560669305141510949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.441
y[1] (analytic) = 0.73193016216919242511653663562424
y[1] (numeric) = 0.73193016216919242511653663561964
absolute error = 4.60e-30
relative error = 6.2847526140570054332180974352889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.442
y[1] (analytic) = 0.73289369552559976858475258200246
y[1] (numeric) = 0.73289369552559976858475258199785
absolute error = 4.61e-30
relative error = 6.2901346104415684792935335255251e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.443
y[1] (analytic) = 0.73385749598828932759523570555243
y[1] (numeric) = 0.73385749598828932759523570554782
absolute error = 4.61e-30
relative error = 6.2818735588326878156404910916616e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.444
y[1] (analytic) = 0.73482156259346071977512954269749
y[1] (numeric) = 0.73482156259346071977512954269288
absolute error = 4.61e-30
relative error = 6.2736319055875035600899019206837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1136.8MB, alloc=4.6MB, time=50.70
x[1] = 4.445
y[1] (analytic) = 0.73578589437704742029192299986374
y[1] (numeric) = 0.73578589437704742029192299985913
absolute error = 4.61e-30
relative error = 6.2654095916082396061969658287364e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.446
y[1] (analytic) = 0.73675049037471772591989484711676
y[1] (numeric) = 0.73675049037471772591989484711214
absolute error = 4.62e-30
relative error = 6.2707796742018151908367196486241e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.447
y[1] (analytic) = 0.73771534962187571937173658291021
y[1] (numeric) = 0.73771534962187571937173658290559
absolute error = 4.62e-30
relative error = 6.2625781100637703183838761508008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.448
y[1] (analytic) = 0.73868047115366223389438933840395
y[1] (numeric) = 0.73868047115366223389438933839933
absolute error = 4.62e-30
relative error = 6.2543957508238167261211320890406e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.449
y[1] (analytic) = 0.73964585400495581812813022559501
y[1] (numeric) = 0.73964585400495581812813022559039
absolute error = 4.62e-30
relative error = 6.2462325381587886350200183832724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 0.74061149721037370122794327025554
y[1] (numeric) = 0.74061149721037370122794327025092
absolute error = 4.62e-30
relative error = 6.2380884139686400949380168912875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.451
y[1] (analytic) = 0.74157739980427275824620980838723
y[1] (numeric) = 0.74157739980427275824620980838261
absolute error = 4.62e-30
relative error = 6.2299633203754234378291004535728e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.452
y[1] (analytic) = 0.74254356082075047577575296358225
y[1] (numeric) = 0.74254356082075047577575296357762
absolute error = 4.63e-30
relative error = 6.2353244230982954227303535700834e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.453
y[1] (analytic) = 0.74350997929364591785227056232668
y[1] (numeric) = 0.74350997929364591785227056232205
absolute error = 4.63e-30
relative error = 6.2272197131753659377003017208108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.454
y[1] (analytic) = 0.74447665425654069211519058489405
y[1] (numeric) = 0.74447665425654069211519058488942
absolute error = 4.63e-30
relative error = 6.2191339023567810688289834296983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.455
y[1] (analytic) = 0.74544358474275991622598299105401
y[1] (numeric) = 0.74544358474275991622598299104938
absolute error = 4.63e-30
relative error = 6.2110669335195035293040774108252e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.456
y[1] (analytic) = 0.74641076978537318454296150236487
y[1] (numeric) = 0.74641076978537318454296150236023
absolute error = 4.64e-30
relative error = 6.2164161984616186771144347722008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.457
y[1] (analytic) = 0.74737820841719553505160866632873
y[1] (numeric) = 0.74737820841719553505160866632409
absolute error = 4.64e-30
relative error = 6.2083694008507885287632311587506e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.458
y[1] (analytic) = 0.74834589967078841654945727216482
y[1] (numeric) = 0.74834589967078841654945727216018
absolute error = 4.64e-30
relative error = 6.2003413154815496181692210071262e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.459
y[1] (analytic) = 0.74931384257846065608456093340012
y[1] (numeric) = 0.74931384257846065608456093339548
absolute error = 4.64e-30
relative error = 6.1923318859735940051490043725932e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1140.6MB, alloc=4.6MB, time=50.88
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 0.75028203617226942664658639888734
y[1] (numeric) = 0.7502820361722694266465863988827
absolute error = 4.64e-30
relative error = 6.1843410561606823704736210307934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.461
y[1] (analytic) = 0.75125047948402121510955990123862
y[1] (numeric) = 0.75125047948402121510955990123398
absolute error = 4.64e-30
relative error = 6.1763687700896713610434307043054e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.462
y[1] (analytic) = 0.75221917154527279042529960000925
y[1] (numeric) = 0.7522191715452727904252996000046
absolute error = 4.65e-30
relative error = 6.1817089698040709739340452338109e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.463
y[1] (analytic) = 0.75318811138733217206656592627957
y[1] (numeric) = 0.75318811138733217206656592627491
absolute error = 4.66e-30
relative error = 6.1870333978274424931424747474234e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.464
y[1] (analytic) = 0.75415729804125959871896138556553
y[1] (numeric) = 0.75415729804125959871896138556087
absolute error = 4.66e-30
relative error = 6.1790822844295455515077356322092e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.465
y[1] (analytic) = 0.7551267305378684972206111272388
y[1] (numeric) = 0.75512673053786849722061112723414
absolute error = 4.66e-30
relative error = 6.1711495720469768744108357437147e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.466
y[1] (analytic) = 0.75609640790772645174865534085652
y[1] (numeric) = 0.75609640790772645174865534085185
absolute error = 4.67e-30
relative error = 6.1764610321623482373080953410769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.467
y[1] (analytic) = 0.75706632918115617325158429298914
y[1] (numeric) = 0.75706632918115617325158429298447
absolute error = 4.67e-30
relative error = 6.1685480122343803875405911488362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.468
y[1] (analytic) = 0.75803649338823646912644657229214
y[1] (numeric) = 0.75803649338823646912644657228746
absolute error = 4.68e-30
relative error = 6.1738452446814959887053266163207e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.469
y[1] (analytic) = 0.75900689955880321313996086569402
y[1] (numeric) = 0.75900689955880321313996086568934
absolute error = 4.68e-30
relative error = 6.1659518546147579767584858355424e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 0.75997754672245031559256134466984
y[1] (numeric) = 0.75997754672245031559256134466516
absolute error = 4.68e-30
relative error = 6.1580766697429447033965664532946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.471
y[1] (analytic) = 0.7609484339085306937244064976356
y[1] (numeric) = 0.76094843390853069372440649763091
absolute error = 4.69e-30
relative error = 6.1633611306751941708428794828976e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.472
y[1] (analytic) = 0.7619195601461572423623810025355
y[1] (numeric) = 0.76191956014615724236238100253082
absolute error = 4.68e-30
relative error = 6.1423806984325833235954433602353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.473
y[1] (analytic) = 0.76289092446420380480711999270128
y[1] (numeric) = 0.76289092446420380480711999269659
absolute error = 4.69e-30
relative error = 6.1476678376976329043998412854229e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1144.4MB, alloc=4.6MB, time=51.05
x[1] = 4.474
y[1] (analytic) = 0.76386252589130614395908482903997
y[1] (numeric) = 0.76386252589130614395908482903528
absolute error = 4.69e-30
relative error = 6.1398482593808558986937478608691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.475
y[1] (analytic) = 0.76483436345586291368271925255553
y[1] (numeric) = 0.76483436345586291368271925255083
absolute error = 4.70e-30
relative error = 6.1451213812665305967716608157559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.476
y[1] (analytic) = 0.76580643618603663040771455312893
y[1] (numeric) = 0.76580643618603663040771455312423
absolute error = 4.70e-30
relative error = 6.1373211008874747334465194561545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.477
y[1] (analytic) = 0.76677874310975464496641215337262
y[1] (numeric) = 0.76677874310975464496641215336792
absolute error = 4.70e-30
relative error = 6.1295387257850139089518180066726e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.478
y[1] (analytic) = 0.7677512832547101146663717702377
y[1] (numeric) = 0.767751283254710114666371770233
absolute error = 4.70e-30
relative error = 6.1217742028061478222780247125517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.479
y[1] (analytic) = 0.76872405564836297559713308188667
y[1] (numeric) = 0.76872405564836297559713308188197
absolute error = 4.70e-30
relative error = 6.1140274789968566169494461272102e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 0.76969705931794091517019859315115
y[1] (numeric) = 0.76969705931794091517019859314644
absolute error = 4.71e-30
relative error = 6.1192906260727015953870596023676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.481
y[1] (analytic) = 0.77067029329044034489126515967265
y[1] (numeric) = 0.77067029329044034489126515966794
absolute error = 4.71e-30
relative error = 6.1115629355457140387989885465158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.482
y[1] (analytic) = 0.77164375659262737336373139857611
y[1] (numeric) = 0.77164375659262737336373139857139
absolute error = 4.72e-30
relative error = 6.1168122720803945828053299650329e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.483
y[1] (analytic) = 0.77261744825103877952250798224964
y[1] (numeric) = 0.77261744825103877952250798224492
absolute error = 4.72e-30
relative error = 6.1091035553035790352743563365902e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.484
y[1] (analytic) = 0.77359136729198298609715758150151
y[1] (numeric) = 0.77359136729198298609715758149678
absolute error = 4.73e-30
relative error = 6.1143391718003970313268745053040e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.485
y[1] (analytic) = 0.77456551274154103330339099503537
y[1] (numeric) = 0.77456551274154103330339099503064
absolute error = 4.73e-30
relative error = 6.1066493694747267762913384276514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.486
y[1] (analytic) = 0.77553988362556755276194577382888
y[1] (numeric) = 0.77553988362556755276194577382415
absolute error = 4.73e-30
relative error = 6.0989771124184438796080271052906e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.487
y[1] (analytic) = 0.77651447896969174164387342161815
y[1] (numeric) = 0.77651447896969174164387342161341
absolute error = 4.74e-30
relative error = 6.1042004088438995907619314280443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.488
y[1] (analytic) = 0.77748929779931833704126102628201
y[1] (numeric) = 0.77748929779931833704126102627727
absolute error = 4.74e-30
relative error = 6.0965469407959171399230467757465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1148.2MB, alloc=4.6MB, time=51.22
TOP MAIN SOLVE Loop
x[1] = 4.489
y[1] (analytic) = 0.77846433913962859056241295148579
y[1] (numeric) = 0.77846433913962859056241295148105
absolute error = 4.74e-30
relative error = 6.0889109001945096844644639994286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 0.7794396020155812431505179934839
y[1] (numeric) = 0.77943960201558124315051799347916
absolute error = 4.74e-30
relative error = 6.0812922357840959523184335202821e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.491
y[1] (analytic) = 0.78041508545191350012482718449552
y[1] (numeric) = 0.78041508545191350012482718449078
absolute error = 4.74e-30
relative error = 6.0736908964992867715860564553833e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.492
y[1] (analytic) = 0.78139078847314200644336720155671
y[1] (numeric) = 0.78139078847314200644336720155196
absolute error = 4.75e-30
relative error = 6.0789045252013067192296990544678e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.493
y[1] (analytic) = 0.78236671010356382218621411821685
y[1] (numeric) = 0.7823667101035638221862141182121
absolute error = 4.75e-30
relative error = 6.0713217199275141921134748266812e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.494
y[1] (analytic) = 0.78334284936725739825835201588697
y[1] (numeric) = 0.78334284936725739825835201588222
absolute error = 4.75e-30
relative error = 6.0637561239459794982394106956951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.495
y[1] (analytic) = 0.78431920528808355231114075206261
y[1] (numeric) = 0.78431920528808355231114075205786
absolute error = 4.75e-30
relative error = 6.0562076868375372448540331346855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.496
y[1] (analytic) = 0.7852957768896864448814169640348
y[1] (numeric) = 0.78529577688968644488141696403005
absolute error = 4.75e-30
relative error = 6.0486763583694287367261063132061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.497
y[1] (analytic) = 0.78627256319549455574725216906953
y[1] (numeric) = 0.78627256319549455574725216906478
absolute error = 4.75e-30
relative error = 6.0411620884944775839935165211044e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.498
y[1] (analytic) = 0.78724956322872166049939160537893
y[1] (numeric) = 0.78724956322872166049939160537418
absolute error = 4.75e-30
relative error = 6.0336648273502695634925000009707e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.499
y[1] (analytic) = 0.78822677601236780732739724252669
y[1] (numeric) = 0.78822677601236780732739724252194
absolute error = 4.75e-30
relative error = 6.0261845252583367085112344241418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 0.78920420056922029401951817520617
y[1] (numeric) = 0.78920420056922029401951817520141
absolute error = 4.76e-30
relative error = 6.0313921245817105401854074408981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.501
y[1] (analytic) = 0.79018183592185464517531140060216
y[1] (numeric) = 0.7901818359218546451753114005974
absolute error = 4.76e-30
relative error = 6.0239299153805683539863992564990e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.502
y[1] (analytic) = 0.79115968109263558963003576679699
y[1] (numeric) = 0.79115968109263558963003576679223
absolute error = 4.76e-30
relative error = 6.0164845526836944639019641523771e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1152.0MB, alloc=4.6MB, time=51.39
x[1] = 4.503
y[1] (analytic) = 0.79213773510371803808984166790846
y[1] (numeric) = 0.7921377351037180380898416679037
absolute error = 4.76e-30
relative error = 6.0090559874372762991918185058022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.504
y[1] (analytic) = 0.79311599697704806097677885085139
y[1] (numeric) = 0.79311599697704806097677885084663
absolute error = 4.76e-30
relative error = 6.0016441707678093536758323863129e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.505
y[1] (analytic) = 0.79409446573436386648264448879646
y[1] (numeric) = 0.7940944657343638664826444887917
absolute error = 4.76e-30
relative error = 5.9942490539813044636425658652323e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.506
y[1] (analytic) = 0.79507314039719677883069346755978
y[1] (numeric) = 0.79507314039719677883069346755502
absolute error = 4.76e-30
relative error = 5.9868705885624991518978460223091e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.507
y[1] (analytic) = 0.79605201998687221674423262329438
y[1] (numeric) = 0.79605201998687221674423262328961
absolute error = 4.77e-30
relative error = 5.9920707192962874532447663197950e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.508
y[1] (analytic) = 0.797031103524510672121120462971
y[1] (numeric) = 0.79703110352451067212112046296623
absolute error = 4.77e-30
relative error = 5.9847099804597660045132146121901e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.509
y[1] (analytic) = 0.79801039003102868891319369322998
y[1] (numeric) = 0.7980103900310286889131936932252
absolute error = 4.78e-30
relative error = 5.9898969483519398174345818089882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 0.79898987852713984220964167825923
y[1] (numeric) = 0.79898987852713984220964167825445
absolute error = 4.78e-30
relative error = 5.9825538826742902621306993047015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.511
y[1] (analytic) = 0.79996956803335571752334974340556
y[1] (numeric) = 0.79996956803335571752334974340077
absolute error = 4.79e-30
relative error = 5.9877277729148254847113596982357e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.512
y[1] (analytic) = 0.80094945756998689027923203825748
y[1] (numeric) = 0.80094945756998689027923203825268
absolute error = 4.80e-30
relative error = 5.9928875094850494226321261914237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.513
y[1] (analytic) = 0.80192954615714390550357447094842
y[1] (numeric) = 0.80192954615714390550357447094362
absolute error = 4.80e-30
relative error = 5.9855632243526356095709421700722e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.514
y[1] (analytic) = 0.80290983281473825771340802441898
y[1] (numeric) = 0.80290983281473825771340802441418
absolute error = 4.80e-30
relative error = 5.9782553455258804896791649276063e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.515
y[1] (analytic) = 0.80389031656248337100493256534651
y[1] (numeric) = 0.8038903165624833710049325653417
absolute error = 4.81e-30
relative error = 5.9834033336389079263552614370433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.516
y[1] (analytic) = 0.80487099641989557934001105739999
y[1] (numeric) = 0.80487099641989557934001105739518
absolute error = 4.81e-30
relative error = 5.9761129689044684904020379407937e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.517
y[1] (analytic) = 0.80585187140629510702975389240762
y[1] (numeric) = 0.80585187140629510702975389240281
absolute error = 4.81e-30
relative error = 5.9688389028693959055352494094052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1155.8MB, alloc=4.6MB, time=51.56
TOP MAIN SOLVE Loop
x[1] = 4.518
y[1] (analytic) = 0.80683294054080704941421285593452
y[1] (numeric) = 0.80683294054080704941421285592971
absolute error = 4.81e-30
relative error = 5.9615810886153643177016964610831e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.519
y[1] (analytic) = 0.80781420284236235373720404765826
y[1] (numeric) = 0.80781420284236235373720404765345
absolute error = 4.81e-30
relative error = 5.9543394793946548877173124121658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 0.80879565732969880021527888180112
y[1] (numeric) = 0.8087956573296988002152788817963
absolute error = 4.82e-30
relative error = 5.9594780910589968999655597969119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.521
y[1] (analytic) = 0.80977730302136198329986209872971
y[1] (numeric) = 0.80977730302136198329986209872489
absolute error = 4.82e-30
relative error = 5.9522537641103137395473952446568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.522
y[1] (analytic) = 0.81075913893570629313157552566587
y[1] (numeric) = 0.81075913893570629313157552566105
absolute error = 4.82e-30
relative error = 5.9450455363688833053471585173163e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.523
y[1] (analytic) = 0.81174116409089589718576613226673
y[1] (numeric) = 0.8117411640908958971857661322619
absolute error = 4.83e-30
relative error = 5.9501725595120290422933728357904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.524
y[1] (analytic) = 0.81272337750490572210825673562774
y[1] (numeric) = 0.81272337750490572210825673562291
absolute error = 4.83e-30
relative error = 5.9429815035323570278980445113970e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.525
y[1] (analytic) = 0.81370577819552243574033751903983
y[1] (numeric) = 0.813705778195522435740337519035
absolute error = 4.83e-30
relative error = 5.9358064418702169599222742785327e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.526
y[1] (analytic) = 0.81468836518034542933201633959093
y[1] (numeric) = 0.8146883651803454293320163395861
absolute error = 4.83e-30
relative error = 5.9286473287620789234375417314321e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.527
y[1] (analytic) = 0.81567113747678779994254561144344
y[1] (numeric) = 0.81567113747678779994254561143861
absolute error = 4.83e-30
relative error = 5.9215041186098743603542212183489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.528
y[1] (analytic) = 0.81665409410207733302724336434265
y[1] (numeric) = 0.81665409410207733302724336433781
absolute error = 4.84e-30
relative error = 5.9266218524522896072577450994815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.529
y[1] (analytic) = 0.81763723407325748520962589061686
y[1] (numeric) = 0.81763723407325748520962589061202
absolute error = 4.84e-30
relative error = 5.9194955883899394917784263954047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 0.8186205564071883672378692086186
y[1] (numeric) = 0.81862055640718836723786920861375
absolute error = 4.85e-30
relative error = 5.9246007958631953476089904445448e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.531
y[1] (analytic) = 0.81960406012054772712461638622715
y[1] (numeric) = 0.8196040601205477271246163862223
absolute error = 4.85e-30
relative error = 5.9174914278568359679580620249504e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1159.7MB, alloc=4.6MB, time=51.73
x[1] = 4.532
y[1] (analytic) = 0.8205877442298319334691475846873
y[1] (numeric) = 0.82058774422983193346914758468244
absolute error = 4.86e-30
relative error = 5.9225841894109510665734204743761e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.533
y[1] (analytic) = 0.82157160775135695896092950069589
y[1] (numeric) = 0.82157160775135695896092950069103
absolute error = 4.86e-30
relative error = 5.9154916676123085274344178826278e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.534
y[1] (analytic) = 0.82255564970125936406356070326895
y[1] (numeric) = 0.82255564970125936406356070326409
absolute error = 4.86e-30
relative error = 5.9084148309784068761582012968832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.535
y[1] (analytic) = 0.8235398690954972808781291815259
y[1] (numeric) = 0.82353986909549728087812918152104
absolute error = 4.86e-30
relative error = 5.9013536349342629996745355717401e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.536
y[1] (analytic) = 0.82452426494985139718499824011528
y[1] (numeric) = 0.82452426494985139718499824011042
absolute error = 4.86e-30
relative error = 5.8943080350650339108209869985948e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.537
y[1] (analytic) = 0.82550883627992594066303670057818
y[1] (numeric) = 0.82550883627992594066303670057331
absolute error = 4.87e-30
relative error = 5.8993917278295579882170680892936e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.538
y[1] (analytic) = 0.8264935821011496632853091895011
y[1] (numeric) = 0.82649358210114966328530918949624
absolute error = 4.86e-30
relative error = 5.8802634469885252325022883356790e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.539
y[1] (analytic) = 0.82747850142877682589024211785012
y[1] (numeric) = 0.82747850142877682589024211784525
absolute error = 4.87e-30
relative error = 5.8853492768587332975471232921344e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 0.8284635932778881829272807804022
y[1] (numeric) = 0.82846359327788818292728078039733
absolute error = 4.87e-30
relative error = 5.8783512510566962865144841125882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.541
y[1] (analytic) = 0.82944885666339196737605282969891
y[1] (numeric) = 0.82944885666339196737605282969404
absolute error = 4.87e-30
relative error = 5.8713686333723525096007467836612e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.542
y[1] (analytic) = 0.83043429060002487583805320544088
y[1] (numeric) = 0.83043429060002487583805320543601
absolute error = 4.87e-30
relative error = 5.8644013802479342344500555453426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.543
y[1] (analytic) = 0.83141989410235305379986542772033
y[1] (numeric) = 0.83141989410235305379986542771546
absolute error = 4.87e-30
relative error = 5.8574494482813904877407982400223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.544
y[1] (analytic) = 0.83240566618477308106693399095241
y[1] (numeric) = 0.83240566618477308106693399094754
absolute error = 4.87e-30
relative error = 5.8505127942257215788694502278754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.545
y[1] (analytic) = 0.8333916058615129573669024248151
y[1] (numeric) = 0.83339160586151295736690242481022
absolute error = 4.88e-30
relative error = 5.8555905359225845336751251639459e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.546
y[1] (analytic) = 0.83437771214663308812153141894171
y[1] (numeric) = 0.83437771214663308812153141893683
absolute error = 4.88e-30
relative error = 5.8486701273995576691713599723173e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1163.5MB, alloc=4.6MB, time=51.90
TOP MAIN SOLVE Loop
x[1] = 4.547
y[1] (analytic) = 0.83536398405402727038621123953006
y[1] (numeric) = 0.83536398405402727038621123952518
absolute error = 4.88e-30
relative error = 5.8417648990770775057317825663779e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.548
y[1] (analytic) = 0.83635042059742367895608249843806
y[1] (numeric) = 0.83635042059742367895608249843317
absolute error = 4.89e-30
relative error = 5.8468315189068290343398193934603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.549
y[1] (analytic) = 0.83733702079038585263777916872703
y[1] (numeric) = 0.83733702079038585263777916872214
absolute error = 4.89e-30
relative error = 5.8399424348683306982665669095925e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 0.83832378364631368068580757499206
y[1] (numeric) = 0.83832378364631368068580757498717
absolute error = 4.89e-30
relative error = 5.8330684341684817387798817939495e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.551
y[1] (analytic) = 0.83931070817844438940257492218254
y[1] (numeric) = 0.83931070817844438940257492217764
absolute error = 4.90e-30
relative error = 5.8381240132566252511077355235355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.552
y[1] (analytic) = 0.84029779339985352890108076296652
y[1] (numeric) = 0.84029779339985352890108076296162
absolute error = 4.90e-30
relative error = 5.8312660564947451782126567596300e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.553
y[1] (analytic) = 0.84128503832345596002928464102979
y[1] (numeric) = 0.84128503832345596002928464102488
absolute error = 4.91e-30
relative error = 5.8363096647776242210445220560205e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.554
y[1] (analytic) = 0.84227244196200684145516298602408
y[1] (numeric) = 0.84227244196200684145516298601918
absolute error = 4.90e-30
relative error = 5.8175950629298029574800609103629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.555
y[1] (analytic) = 0.84326000332810261691146817519002
y[1] (numeric) = 0.84326000332810261691146817518511
absolute error = 4.91e-30
relative error = 5.8226406809544556985749388521451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.556
y[1] (analytic) = 0.84424772143418200259920251697773
y[1] (numeric) = 0.84424772143418200259920251697281
absolute error = 4.92e-30
relative error = 5.8276734127775384153463642137951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.557
y[1] (analytic) = 0.84523559529252697474881975327365
y[1] (numeric) = 0.84523559529252697474881975326873
absolute error = 4.92e-30
relative error = 5.8208622866826151173238716241819e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.558
y[1] (analytic) = 0.84622362391526375733816651911422
y[1] (numeric) = 0.8462236239152637573381665191093
absolute error = 4.92e-30
relative error = 5.8140659997606756809328169917699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.559
y[1] (analytic) = 0.84721180631436380996617604202733
y[1] (numeric) = 0.8472118063143638099661760420224
absolute error = 4.93e-30
relative error = 5.8190879343939281063509156355567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 0.8482001415016448158813262073901
y[1] (numeric) = 0.84820014150164481588132620738517
absolute error = 4.93e-30
relative error = 5.8123074481831359425705516411567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1167.3MB, alloc=4.6MB, time=52.07
x[1] = 4.561
y[1] (analytic) = 0.8491886284887716701638739614274
y[1] (numeric) = 0.84918862848877167016387396142247
absolute error = 4.93e-30
relative error = 5.8055417072335260753744352572210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.562
y[1] (analytic) = 0.85017726628725746806087786969886
y[1] (numeric) = 0.85017726628725746806087786969393
absolute error = 4.93e-30
relative error = 5.7987906704791304948668488676743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.563
y[1] (analytic) = 0.85116605390846449347302049613434
y[1] (numeric) = 0.8511660539084644934730204961294
absolute error = 4.94e-30
relative error = 5.8038028858364857169665604623331e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.564
y[1] (analytic) = 0.85215499036360520759224211587776
y[1] (numeric) = 0.85215499036360520759224211587282
absolute error = 4.94e-30
relative error = 5.7970675004697866852430719119557e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.565
y[1] (analytic) = 0.85314407466374323768919712438802
y[1] (numeric) = 0.85314407466374323768919712438308
absolute error = 4.94e-30
relative error = 5.7903467265444505875807586392126e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.566
y[1] (analytic) = 0.85413330581979436604954435542295
y[1] (numeric) = 0.854133305819794366049544355418
absolute error = 4.95e-30
relative error = 5.7953482978268902840016272471754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.567
y[1] (analytic) = 0.8551226828425275190580823716984
y[1] (numeric) = 0.85512268284252751905808237169345
absolute error = 4.95e-30
relative error = 5.7886430793130440056244966855426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.568
y[1] (analytic) = 0.85611220474256575642974064416965
y[1] (numeric) = 0.8561122047425657564297406441647
absolute error = 4.95e-30
relative error = 5.7819523802822931806902959771454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.569
y[1] (analytic) = 0.85710187053038726058643738902631
y[1] (numeric) = 0.85710187053038726058643738902136
absolute error = 4.95e-30
relative error = 5.7752761605068801192775343844651e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 0.85809167921632632617881468562541
y[1] (numeric) = 0.85809167921632632617881468562045
absolute error = 4.96e-30
relative error = 5.7802681463242295670568461270005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.571
y[1] (analytic) = 0.85908162981057434975186135370992
y[1] (numeric) = 0.85908162981057434975186135370496
absolute error = 4.96e-30
relative error = 5.7736073358868927553226788183036e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.572
y[1] (analytic) = 0.86007172132318081955343392437242
y[1] (numeric) = 0.86007172132318081955343392436746
absolute error = 4.96e-30
relative error = 5.7669609138750288541590683237869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.573
y[1] (analytic) = 0.86106195276405430548468589632535
y[1] (numeric) = 0.86106195276405430548468589632038
absolute error = 4.97e-30
relative error = 5.7719424067525428798775671183963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.574
y[1] (analytic) = 0.86205232314296344919141532713104
y[1] (numeric) = 0.86205232314296344919141532712607
absolute error = 4.97e-30
relative error = 5.7653113002234450342729519895904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.575
y[1] (analytic) = 0.8630428314695379542953406681266
y[1] (numeric) = 0.86304283146953795429534066812163
absolute error = 4.97e-30
relative error = 5.7586944920652198416602695378430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1171.1MB, alloc=4.6MB, time=52.24
TOP MAIN SOLVE Loop
x[1] = 4.576
y[1] (analytic) = 0.86403347675326957676431461185014
y[1] (numeric) = 0.86403347675326957676431461184517
absolute error = 4.97e-30
relative error = 5.7520919428671813830127736100170e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.577
y[1] (analytic) = 0.86502425800351311542048558183719
y[1] (numeric) = 0.86502425800351311542048558183221
absolute error = 4.98e-30
relative error = 5.7570639827996300766692539148443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.578
y[1] (analytic) = 0.86601517422948740258541635670823
y[1] (numeric) = 0.86601517422948740258541635670325
absolute error = 4.98e-30
relative error = 5.7504766061758844655307345167024e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.579
y[1] (analytic) = 0.8670062244402762948611691835114
y[1] (numeric) = 0.86700622444027629486116918350642
absolute error = 4.98e-30
relative error = 5.7439033995574817156126414491715e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 0.8679974076448296640463665993177
y[1] (numeric) = 0.86799740764482966404636659931272
absolute error = 4.98e-30
relative error = 5.7373443240025602830344639176237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.581
y[1] (analytic) = 0.86898872285196438818623704509051
y[1] (numeric) = 0.86898872285196438818623704508553
absolute error = 4.98e-30
relative error = 5.7307993407048648047681903433994e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.582
y[1] (analytic) = 0.86998016907036534275565422186642
y[1] (numeric) = 0.86998016907036534275565422186144
absolute error = 4.98e-30
relative error = 5.7242684109931819506050149983521e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.583
y[1] (analytic) = 0.87097174530858639197417900629059
y[1] (numeric) = 0.8709717453085863919741790062856
absolute error = 4.99e-30
relative error = 5.7292329250382705387104929791455e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.584
y[1] (analytic) = 0.87196345057505138025211261054726
y[1] (numeric) = 0.87196345057505138025211261054227
absolute error = 4.99e-30
relative error = 5.7227169289138710243370263535031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.585
y[1] (analytic) = 0.87295528387805512376656954071507
y[1] (numeric) = 0.87295528387805512376656954071007
absolute error = 5.00e-30
relative error = 5.7276702396344736925587231733107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.586
y[1] (analytic) = 0.87394724422576440216657877755658
y[1] (numeric) = 0.87394724422576440216657877755157
absolute error = 5.01e-30
relative error = 5.7326114740923428070199078536519e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.587
y[1] (analytic) = 0.87493933062621895040622147472371
y[1] (numeric) = 0.87493933062621895040622147471871
absolute error = 5.00e-30
relative error = 5.7146819499145819258337733971156e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.588
y[1] (analytic) = 0.87593154208733245070481334132397
y[1] (numeric) = 0.87593154208733245070481334131896
absolute error = 5.01e-30
relative error = 5.7196250611791430685739108781071e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.589
y[1] (analytic) = 0.8769238776168935246331397487476
y[1] (numeric) = 0.87692387761689352463313974874259
absolute error = 5.01e-30
relative error = 5.7131526782176933558019940370999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1174.9MB, alloc=4.6MB, time=52.41
x[1] = 4.59
y[1] (analytic) = 0.8779163362225667253247514756035
y[1] (numeric) = 0.87791633622256672532475147559848
absolute error = 5.02e-30
relative error = 5.7180847341327347229071553150747e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.591
y[1] (analytic) = 0.87890891691189352981132887955057
y[1] (numeric) = 0.87890891691189352981132887954555
absolute error = 5.02e-30
relative error = 5.7116271133510769739878203442344e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.592
y[1] (analytic) = 0.87990161869229333148112216074327
y[1] (numeric) = 0.87990161869229333148112216073825
absolute error = 5.02e-30
relative error = 5.7051832765812003118116967011788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.593
y[1] (analytic) = 0.88089444057106443265947525853355
y[1] (numeric) = 0.88089444057106443265947525852853
absolute error = 5.02e-30
relative error = 5.6987531863019191548060146985324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.594
y[1] (analytic) = 0.88188738155538503731044080098825
y[1] (numeric) = 0.88188738155538503731044080098322
absolute error = 5.03e-30
relative error = 5.7036761214664252288158085644620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.595
y[1] (analytic) = 0.88288044065231424385849340568951
y[1] (numeric) = 0.88288044065231424385849340568448
absolute error = 5.03e-30
relative error = 5.6972606577212150288365690922729e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.596
y[1] (analytic) = 0.88387361686879303812934851018785
y[1] (numeric) = 0.88387361686879303812934851018282
absolute error = 5.03e-30
relative error = 5.6908588558387531335368443810302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.597
y[1] (analytic) = 0.88486690921164528640889379137157
y[1] (numeric) = 0.88486690921164528640889379136654
absolute error = 5.03e-30
relative error = 5.6844706787389973186525003449648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.598
y[1] (analytic) = 0.88586031668757872861924011490407
y[1] (numeric) = 0.88586031668757872861924011489904
absolute error = 5.03e-30
relative error = 5.6780960894695523417313188812755e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.599
y[1] (analytic) = 0.88685383830318597161089883876072
y[1] (numeric) = 0.88685383830318597161089883875568
absolute error = 5.04e-30
relative error = 5.6830108664162885753788455940575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 0.88784747306494548257009217877081
y[1] (numeric) = 0.88784747306494548257009217876577
absolute error = 5.04e-30
relative error = 5.6766507231263214727927691316350e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.601
y[1] (analytic) = 0.88884121997922258254020322893709
y[1] (numeric) = 0.88884121997922258254020322893204
absolute error = 5.05e-30
relative error = 5.6815546877068190352008538182588e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.602
y[1] (analytic) = 0.88983507805227044005637211516544
y[1] (numeric) = 0.88983507805227044005637211516039
absolute error = 5.05e-30
relative error = 5.6752089511393192466526766312706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.603
y[1] (analytic) = 0.89082904629023106489224464789163
y[1] (numeric) = 0.89082904629023106489224464788658
absolute error = 5.05e-30
relative error = 5.6688766728366374871209777919998e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.604
y[1] (analytic) = 0.89182312369913630191787972693903
y[1] (numeric) = 0.89182312369913630191787972693397
absolute error = 5.06e-30
relative error = 5.6737708022325642967181545719800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1178.7MB, alloc=4.6MB, time=52.58
TOP MAIN SOLVE Loop
x[1] = 4.605
y[1] (analytic) = 0.89281730928490882506782164078289
y[1] (numeric) = 0.89281730928490882506782164077782
absolute error = 5.07e-30
relative error = 5.6786533451740030585126343924251e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.606
y[1] (analytic) = 0.89381160205336313141834329223164
y[1] (numeric) = 0.89381160205336313141834329222657
absolute error = 5.07e-30
relative error = 5.6723363048237836280812213689905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.607
y[1] (analytic) = 0.89480600101020653537286627336486
y[1] (numeric) = 0.89480600101020653537286627335978
absolute error = 5.08e-30
relative error = 5.6772082376122278300452334601072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.608
y[1] (analytic) = 0.89580050516104016295456360439061
y[1] (numeric) = 0.89580050516104016295456360438553
absolute error = 5.08e-30
relative error = 5.6709054870277802045547154447099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.609
y[1] (analytic) = 0.8967951135113599462051508439024
y[1] (numeric) = 0.89679511351135994620515084389731
absolute error = 5.09e-30
relative error = 5.6757668761935371468919855661300e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 0.89778982506655761768887117182731
y[1] (numeric) = 0.89778982506655761768887117182222
absolute error = 5.09e-30
relative error = 5.6694783766597633535342835038542e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.611
y[1] (analytic) = 0.89878463883192170510067994116339
y[1] (numeric) = 0.89878463883192170510067994115829
absolute error = 5.10e-30
relative error = 5.6743292883021019137322946567274e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.612
y[1] (analytic) = 0.89977955381263852597763409040428
y[1] (numeric) = 0.89977955381263852597763409039918
absolute error = 5.10e-30
relative error = 5.6680550012386424373807399035074e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.613
y[1] (analytic) = 0.90077456901379318251249170534491
y[1] (numeric) = 0.90077456901379318251249170533981
absolute error = 5.10e-30
relative error = 5.6617939442758689191840213330624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.614
y[1] (analytic) = 0.9017696834403705564685269167513
y[1] (numeric) = 0.9017696834403705564685269167462
absolute error = 5.10e-30
relative error = 5.6555460819472504097917119775795e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.615
y[1] (analytic) = 0.90276489609725630419456521916272
y[1] (numeric) = 0.90276489609725630419456521915762
absolute error = 5.10e-30
relative error = 5.6493113789069716486220182746968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.616
y[1] (analytic) = 0.90376020598923785173924419587363
y[1] (numeric) = 0.90376020598923785173924419586852
absolute error = 5.11e-30
relative error = 5.6541546818900884987358557175592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.617
y[1] (analytic) = 0.90475561212100539006350453591768
y[1] (numeric) = 0.90475561212100539006350453591257
absolute error = 5.11e-30
relative error = 5.6479340183596115025318667171285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.618
y[1] (analytic) = 0.90575111349715287035031613064575
y[1] (numeric) = 0.90575111349715287035031613064064
absolute error = 5.11e-30
relative error = 5.6417264343954491054641938790754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1182.5MB, alloc=4.6MB, time=52.75
x[1] = 4.619
y[1] (analytic) = 0.90674670912217899941064394025472
y[1] (numeric) = 0.90674670912217899941064394024961
absolute error = 5.11e-30
relative error = 5.6355318950613983997538040991762e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 0.90774239800048823518465822438418
y[1] (numeric) = 0.90774239800048823518465822437907
absolute error = 5.11e-30
relative error = 5.6293503655397745926204659278400e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.621
y[1] (analytic) = 0.90873817913639178233719363565377
y[1] (numeric) = 0.90873817913639178233719363564866
absolute error = 5.11e-30
relative error = 5.6231818111309310471633257529514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.622
y[1] (analytic) = 0.90973405153410858794646158076501
y[1] (numeric) = 0.9097340515341085879464615807599
absolute error = 5.11e-30
relative error = 5.6170261972527815926800282513155e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.623
y[1] (analytic) = 0.91073001419776633728502016053827
y[1] (numeric) = 0.91073001419776633728502016053315
absolute error = 5.12e-30
relative error = 5.6218636919636916774818183031127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.624
y[1] (analytic) = 0.91172606613140244969200590799782
y[1] (numeric) = 0.9117260661314024496920059079927
absolute error = 5.12e-30
relative error = 5.6157218601031862905995858890450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.625
y[1] (analytic) = 0.91272220633896507453563145235642
y[1] (numeric) = 0.9127222063389650745356314523513
absolute error = 5.12e-30
relative error = 5.6095928908500161194045452816896e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.626
y[1] (analytic) = 0.91371843382431408726495314648451
y[1] (numeric) = 0.91371843382431408726495314647939
absolute error = 5.12e-30
relative error = 5.6034767500208405856864056122928e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.627
y[1] (analytic) = 0.9147147475912220855499126061796
y[1] (numeric) = 0.91471474759122208554991260617448
absolute error = 5.12e-30
relative error = 5.5973734035477501957808564073429e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.628
y[1] (analytic) = 0.91571114664337538550865602127722
y[1] (numeric) = 0.9157111466433753855086560212721
absolute error = 5.12e-30
relative error = 5.5912828174778013041869157123826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.629
y[1] (analytic) = 0.91670762998437501802113501136721
y[1] (numeric) = 0.91670762998437501802113501136208
absolute error = 5.13e-30
relative error = 5.5961135614060932094005284731345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 0.91770419661773772512799271259738
y[1] (numeric) = 0.91770419661773772512799271259224
absolute error = 5.14e-30
relative error = 5.6009333061174019094115909595802e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.631
y[1] (analytic) = 0.91870084554689695651373869676168
y[1] (numeric) = 0.91870084554689695651373869675654
absolute error = 5.14e-30
relative error = 5.5948571560747717057053494076466e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.632
y[1] (analytic) = 0.91969757577520386607321623958089
y[1] (numeric) = 0.91969757577520386607321623957575
absolute error = 5.14e-30
relative error = 5.5887936810832033907871717577108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.633
y[1] (analytic) = 0.92069438630592830856036537179157
y[1] (numeric) = 0.92069438630592830856036537178642
absolute error = 5.15e-30
relative error = 5.5936042150351051708684797051224e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1186.4MB, alloc=4.6MB, time=52.92
TOP MAIN SOLVE Loop
x[1] = 4.634
y[1] (analytic) = 0.92169127614225983631828506436335
y[1] (numeric) = 0.9216912761422598363182850643582
absolute error = 5.15e-30
relative error = 5.5875542421919543568363266476954e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.635
y[1] (analytic) = 0.92268824428730869608959781786549
y[1] (numeric) = 0.92268824428730869608959781786033
absolute error = 5.16e-30
relative error = 5.5923547654881228163314052654545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.636
y[1] (analytic) = 0.92368528974410682590611984570096
y[1] (numeric) = 0.9236852897441068259061198456958
absolute error = 5.16e-30
relative error = 5.5863182593602856995658154709392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.637
y[1] (analytic) = 0.92468241151560885205683996162123
y[1] (numeric) = 0.92468241151560885205683996161606
absolute error = 5.17e-30
relative error = 5.5911088343575887399376812637865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.638
y[1] (analytic) = 0.9256796086046930861332102036257
y[1] (numeric) = 0.92567960860469308613321020362053
absolute error = 5.17e-30
relative error = 5.5850857596322217521392641419784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.639
y[1] (analytic) = 0.92667688001416252215075114903845
y[1] (numeric) = 0.92667688001416252215075114903328
absolute error = 5.17e-30
relative error = 5.5790752003233168220347901863855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 0.92767422474674583374597479923988
y[1] (numeric) = 0.92767422474674583374597479923471
absolute error = 5.17e-30
relative error = 5.5730771235035715262890677382583e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.641
y[1] (analytic) = 0.92867164180509837144762783721367
y[1] (numeric) = 0.92867164180509837144762783720849
absolute error = 5.18e-30
relative error = 5.5778595650141903579927466930448e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.642
y[1] (analytic) = 0.92966913019180316002125798674868
y[1] (numeric) = 0.9296691301918031600212579867435
absolute error = 5.18e-30
relative error = 5.5718748012330976353712778827639e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.643
y[1] (analytic) = 0.93066668890937189588610612881281
y[1] (numeric) = 0.93066668890937189588610612880762
absolute error = 5.19e-30
relative error = 5.5766474311894072572745884631043e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.644
y[1] (analytic) = 0.93166431696024594460332675828949
y[1] (numeric) = 0.9316643169602459446033267582843
absolute error = 5.19e-30
relative error = 5.5706759457456574030666540664886e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.645
y[1] (analytic) = 0.93266201334679733843453929293986
y[1] (numeric) = 0.93266201334679733843453929293466
absolute error = 5.20e-30
relative error = 5.5754388251968536589440108140999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.646
y[1] (analytic) = 0.93365977707132977396971267612205
y[1] (numeric) = 0.93365977707132977396971267611685
absolute error = 5.20e-30
relative error = 5.5694805835067372821500063019760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.647
y[1] (analytic) = 0.93465760713607960982338564546646
y[1] (numeric) = 0.93465760713607960982338564546126
absolute error = 5.20e-30
relative error = 5.5635346679876927093167662793419e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.648
y[1] (analytic) = 0.93565550254321686439822497136965
y[1] (numeric) = 0.93565550254321686439822497136445
memory used=1190.2MB, alloc=4.6MB, time=53.09
absolute error = 5.20e-30
relative error = 5.5576010463956181449362954639916e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.649
y[1] (analytic) = 0.93665346229484621371492390183187
y[1] (numeric) = 0.93665346229484621371492390182667
absolute error = 5.20e-30
relative error = 5.5516796865937471596616788859250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 0.93765148539300798930744298382293
y[1] (numeric) = 0.93765148539300798930744298381772
absolute error = 5.21e-30
relative error = 5.5564354999302074975713736554351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.651
y[1] (analytic) = 0.9386495708396791761825953660187
y[1] (numeric) = 0.93864957083967917618259536601349
absolute error = 5.21e-30
relative error = 5.5505272274714171234934197599386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.652
y[1] (analytic) = 0.93964771763677441084297862340619
y[1] (numeric) = 0.93964771763677441084297862340098
absolute error = 5.21e-30
relative error = 5.5446311444284824135478879628803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.653
y[1] (analytic) = 0.94064592478614697937225508090842
y[1] (numeric) = 0.94064592478614697937225508090321
absolute error = 5.21e-30
relative error = 5.5387472190287517838158076969050e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.654
y[1] (analytic) = 0.94164419128958981558178255083206
y[1] (numeric) = 0.94164419128958981558178255082684
absolute error = 5.22e-30
relative error = 5.5434951420994432323970177589418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.655
y[1] (analytic) = 0.94264251614883649921759733759018
y[1] (numeric) = 0.94264251614883649921759733758497
absolute error = 5.21e-30
relative error = 5.5270157145950101935769588983866e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.656
y[1] (analytic) = 0.94364089836556225422675130280043
y[1] (numeric) = 0.94364089836556225422675130279521
absolute error = 5.22e-30
relative error = 5.5317653241199338079784471537330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.657
y[1] (analytic) = 0.94463933694138494708200472450452
y[1] (numeric) = 0.9446393369413849470820047244993
absolute error = 5.22e-30
relative error = 5.5259185128809663428753100926556e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.658
y[1] (analytic) = 0.94563783087786608516387662589968
y[1] (numeric) = 0.94563783087786608516387662589445
absolute error = 5.23e-30
relative error = 5.5306585980647817231877618752115e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.659
y[1] (analytic) = 0.94663637917651181519905419161462
y[1] (numeric) = 0.94663637917651181519905419160938
absolute error = 5.24e-30
relative error = 5.5353883658668674001056037277038e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 0.94763498083877392175416283320404
y[1] (numeric) = 0.94763498083877392175416283319881
absolute error = 5.23e-30
relative error = 5.5190026811492379449318282914075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.661
y[1] (analytic) = 0.94863363486605082578389841017475
y[1] (numeric) = 0.94863363486605082578389841016951
absolute error = 5.24e-30
relative error = 5.5237341449946581614843526243391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.662
y[1] (analytic) = 0.94963234025968858323252305849424
y[1] (numeric) = 0.949632340259688583232523058489
absolute error = 5.24e-30
relative error = 5.5179249672215858643555253498976e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1194.0MB, alloc=4.6MB, time=53.27
TOP MAIN SOLVE Loop
x[1] = 4.663
y[1] (analytic) = 0.95063109602098188368772602516938
y[1] (numeric) = 0.95063109602098188368772602516414
absolute error = 5.24e-30
relative error = 5.5121277033045268462976641663750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.664
y[1] (analytic) = 0.95162990115117504908585085511741
y[1] (numeric) = 0.95162990115117504908585085511217
absolute error = 5.24e-30
relative error = 5.5063423224314789885137532766733e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.665
y[1] (analytic) = 0.9526287546514630324674902251853
y[1] (numeric) = 0.95262875465146303246749022518006
absolute error = 5.24e-30
relative error = 5.5005687938919622126324113374655e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.666
y[1] (analytic) = 0.95362765552299241678244966980596
y[1] (numeric) = 0.95362765552299241678244966980072
absolute error = 5.24e-30
relative error = 5.4948070870766196076564771429036e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.667
y[1] (analytic) = 0.95462660276686241374308139341071
y[1] (numeric) = 0.95462660276686241374308139340546
absolute error = 5.25e-30
relative error = 5.4995324714223868386464414017285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.668
y[1] (analytic) = 0.95562559538412586272498931634749
y[1] (numeric) = 0.95562559538412586272498931634224
absolute error = 5.25e-30
relative error = 5.4937833659527460908256708109112e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.669
y[1] (analytic) = 0.95662463237579022971410645368303
y[1] (numeric) = 0.95662463237579022971410645367777
absolute error = 5.26e-30
relative error = 5.4984994343462793403004568355829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 0.95762371274281860629914567989472
y[1] (numeric) = 0.95762371274281860629914567988946
absolute error = 5.26e-30
relative error = 5.4927628984189914452167918738734e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.671
y[1] (analytic) = 0.95862283548613070870842488708488
y[1] (numeric) = 0.95862283548613070870842488707961
absolute error = 5.27e-30
relative error = 5.4974697085402844117355221721549e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.672
y[1] (analytic) = 0.95962199960660387689006749997525
y[1] (numeric) = 0.95962199960660387689006749996998
absolute error = 5.27e-30
relative error = 5.4917457104572753350793270781771e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.673
y[1] (analytic) = 0.96062120410507407363457926756472
y[1] (numeric) = 0.96062120410507407363457926755945
absolute error = 5.27e-30
relative error = 5.4860333891022044561403565630876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.674
y[1] (analytic) = 0.9616204479823368837388022089566
y[1] (numeric) = 0.96162044798233688373880220895132
absolute error = 5.28e-30
relative error = 5.4907318278000921155885113587782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.675
y[1] (analytic) = 0.96261973023914851321024654948472
y[1] (numeric) = 0.96261973023914851321024654947944
absolute error = 5.28e-30
relative error = 5.4850319748674409138692691108706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.676
y[1] (analytic) = 0.96361904987622678851080144288988
y[1] (numeric) = 0.9636190498762267885108014428846
absolute error = 5.28e-30
relative error = 5.4793437309880870147156210534324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.677
y[1] (analytic) = 0.96461840589425215583882523591896
y[1] (numeric) = 0.96461840589425215583882523591367
absolute error = 5.29e-30
relative error = 5.4840338601002444048455015001026e-28 %
Correct digits = 29
h = 0.001
memory used=1197.8MB, alloc=4.6MB, time=53.44
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.678
y[1] (analytic) = 0.96561779729386868044861599333988
y[1] (numeric) = 0.96561779729386868044861599333459
absolute error = 5.29e-30
relative error = 5.4783580157958523613178338033230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.679
y[1] (analytic) = 0.9666172230756850460062629639851
y[1] (numeric) = 0.96661722307568504600626296397981
absolute error = 5.29e-30
relative error = 5.4726937134098622661541263204907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 0.96761668224027555398087963205543
y[1] (numeric) = 0.96761668224027555398087963205014
absolute error = 5.29e-30
relative error = 5.4670409234288126023513537424025e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.681
y[1] (analytic) = 0.96861617378818112307021896253447
y[1] (numeric) = 0.96861617378818112307021896252918
absolute error = 5.29e-30
relative error = 5.4613996164355062000215018618539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.682
y[1] (analytic) = 0.96961569671991028865967141518161
y[1] (numeric) = 0.96961569671991028865967141517632
absolute error = 5.29e-30
relative error = 5.4557697631086359961109321029573e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.683
y[1] (analytic) = 0.970615250035940202313646268189
y[1] (numeric) = 0.9706152500359402023136462681837
absolute error = 5.30e-30
relative error = 5.4604540777653660147218354468657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.684
y[1] (analytic) = 0.97161483273671763129833676020431
y[1] (numeric) = 0.97161483273671763129833676019901
absolute error = 5.30e-30
relative error = 5.4548364448818189873071287247392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.685
y[1] (analytic) = 0.97261444382265995813486952803756
y[1] (numeric) = 0.97261444382265995813486952803226
absolute error = 5.30e-30
relative error = 5.4492301997587511786509621470109e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.686
y[1] (analytic) = 0.97361408229415618018183878698583
y[1] (numeric) = 0.97361408229415618018183878698052
absolute error = 5.31e-30
relative error = 5.4539063234252806840889994526133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.687
y[1] (analytic) = 0.97461374715156790924622567132486
y[1] (numeric) = 0.97461374715156790924622567131955
absolute error = 5.31e-30
relative error = 5.4483122319166412353998504484014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.688
y[1] (analytic) = 0.97561343739523037122170312413176
y[1] (numeric) = 0.97561343739523037122170312412644
absolute error = 5.32e-30
relative error = 5.4529794241085436361669046797446e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.689
y[1] (analytic) = 0.97661315202545340575332669821693
y[1] (numeric) = 0.97661315202545340575332669821161
absolute error = 5.32e-30
relative error = 5.4473974561642450441304437653580e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 0.97761289004252246592761160355799
y[1] (numeric) = 0.97761289004252246592761160355267
absolute error = 5.32e-30
relative error = 5.4418267743673061700352597292214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.691
y[1] (analytic) = 0.97861265044669961798699631124172
y[1] (numeric) = 0.97861265044669961798699631123639
absolute error = 5.33e-30
relative error = 5.4464858977319134696568571785126e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1201.6MB, alloc=4.6MB, time=53.61
TOP MAIN SOLVE Loop
x[1] = 4.692
y[1] (analytic) = 0.97961243223822454106769299953388
y[1] (numeric) = 0.97961243223822454106769299952855
absolute error = 5.33e-30
relative error = 5.4409272734748609206030953012275e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.693
y[1] (analytic) = 0.98061223441731552695992510430979
y[1] (numeric) = 0.98061223441731552695992510430446
absolute error = 5.33e-30
relative error = 5.4353798707876732292479970452735e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.694
y[1] (analytic) = 0.98161205598417047988955221369128
y[1] (numeric) = 0.98161205598417047988955221368595
absolute error = 5.33e-30
relative error = 5.4298436612579173736558810567553e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.695
y[1] (analytic) = 0.98261189593896791632008252534857
y[1] (numeric) = 0.98261189593896791632008252534324
absolute error = 5.33e-30
relative error = 5.4243186165650262672097050141119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.696
y[1] (analytic) = 0.98361175328186796477407306453789
y[1] (numeric) = 0.98361175328186796477407306453256
absolute error = 5.33e-30
relative error = 5.4188047084799448764949778268913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.697
y[1] (analytic) = 0.98461162701301336567291784155795
y[1] (numeric) = 0.98461162701301336567291784155261
absolute error = 5.34e-30
relative error = 5.4234581976243741383957170173812e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.698
y[1] (analytic) = 0.98561151613253047119402410892039
y[1] (numeric) = 0.98561151613253047119402410891505
absolute error = 5.34e-30
relative error = 5.4179561750189165963602341173811e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.699
y[1] (analytic) = 0.98661141964053024514437686114136
y[1] (numeric) = 0.98661141964053024514437686113601
absolute error = 5.35e-30
relative error = 5.4226009282856882260401271408078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 0.98761133653710926284949170367289
y[1] (numeric) = 0.98761133653710926284949170366754
absolute error = 5.35e-30
relative error = 5.4171107621737744328147280888366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.701
y[1] (analytic) = 0.98861126582235071105675620210474
y[1] (numeric) = 0.98861126582235071105675620209939
absolute error = 5.35e-30
relative error = 5.4116316341486771119086932906518e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.702
y[1] (analytic) = 0.98961120649632538785215980837846
y[1] (numeric) = 0.98961120649632538785215980837311
absolute error = 5.35e-30
relative error = 5.4061635164191782564768726269029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.703
y[1] (analytic) = 0.99061115755909270258941244736724
y[1] (numeric) = 0.99061115755909270258941244736189
absolute error = 5.35e-30
relative error = 5.4007063812834731412139114518676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.704
y[1] (analytic) = 0.99161111801070167583045183478621
y[1] (numeric) = 0.99161111801070167583045183478086
absolute error = 5.35e-30
relative error = 5.3952602011288276764829303980220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.705
y[1] (analytic) = 0.99261108685119193929633958600923
y[1] (numeric) = 0.99261108685119193929633958600387
absolute error = 5.36e-30
relative error = 5.3998993875871835349162610162070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.706
y[1] (analytic) = 0.99361106308059473582754616497931
y[1] (numeric) = 0.99361106308059473582754616497395
absolute error = 5.36e-30
relative error = 5.3944648959340688488099315847821e-28 %
Correct digits = 29
h = 0.001
memory used=1205.4MB, alloc=4.6MB, time=53.78
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.707
y[1] (analytic) = 0.99461104569893391935262471301123
y[1] (numeric) = 0.99461104569893391935262471300587
absolute error = 5.36e-30
relative error = 5.3890412972775867822185939012805e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.708
y[1] (analytic) = 0.99561103370622695486427378889562
y[1] (numeric) = 0.99561103370622695486427378889025
absolute error = 5.37e-30
relative error = 5.3936726474493006051863977978789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.709
y[1] (analytic) = 0.99661102610248591840178904432528
y[1] (numeric) = 0.99661102610248591840178904431991
absolute error = 5.37e-30
relative error = 5.3882606747798304573011472186982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 0.9976110218877184970389038522753
y[1] (numeric) = 0.99761102188771849703890385226993
absolute error = 5.37e-30
relative error = 5.3828595336072735959225295317239e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.711
y[1] (analytic) = 0.99861102006192898887601890057976
y[1] (numeric) = 0.99861102006192898887601890057438
absolute error = 5.38e-30
relative error = 5.3874831059508622473060925123076e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.712
y[1] (analytic) = 0.99961101962511930303582075855859
y[1] (numeric) = 0.99961101962511930303582075855321
absolute error = 5.38e-30
relative error = 5.3820935287584594387398511735171e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.713
y[1] (analytic) = 1.0006110195772899596612894211596
y[1] (numeric) = 1.0006110195772899596612894211542
absolute error = 5.4e-30
relative error = 5.3967025091141214248506386255420e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.714
y[1] (analytic) = 1.0016110189184410899150948326913
y[1] (numeric) = 1.0016110189184410899150948326859
absolute error = 5.4e-30
relative error = 5.3913144903607632273450256585169e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.715
y[1] (analytic) = 1.0026110166485734359793823908331
y[1] (numeric) = 1.0026110166485734359793823908277
absolute error = 5.4e-30
relative error = 5.3859372282289228167809164415870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.716
y[1] (analytic) = 1.0036110117676893510549474312217
y[1] (numeric) = 1.0036110117676893510549474312163
absolute error = 5.4e-30
relative error = 5.3805706959002198254669142357422e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.717
y[1] (analytic) = 1.0046110032757937993587986935207
y[1] (numeric) = 1.0046110032757937993587986935153
absolute error = 5.4e-30
relative error = 5.3752148666418190420306936281721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.718
y[1] (analytic) = 1.0056109901728953561191107714954
y[1] (numeric) = 1.00561099017289535611911077149
absolute error = 5.4e-30
relative error = 5.3698697138061055433754417726315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.719
y[1] (analytic) = 1.0066109714590072075665655522221
y[1] (numeric) = 1.0066109714590072075665655522167
absolute error = 5.4e-30
relative error = 5.3645352108303612687172260802889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 1.0076109461341481509210826531746
y[1] (numeric) = 1.0076109461341481509210826531692
absolute error = 5.4e-30
relative error = 5.3592113312364430283981029353182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1209.3MB, alloc=4.6MB, time=53.95
TOP MAIN SOLVE Loop
x[1] = 4.721
y[1] (analytic) = 1.0086109131983435943729388705404
y[1] (numeric) = 1.008610913198343594372938870535
absolute error = 5.4e-30
relative error = 5.3538980486304619402113991499649e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.722
y[1] (analytic) = 1.0096108716516265570572766577307
y[1] (numeric) = 1.0096108716516265570572766577252
absolute error = 5.5e-30
relative error = 5.4476433984932506616839323605248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.723
y[1] (analytic) = 1.0106108204940386690210016596588
y[1] (numeric) = 1.0106108204940386690210016596533
absolute error = 5.5e-30
relative error = 5.4422532279154862588997247962333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.724
y[1] (analytic) = 1.0116107587256311711810693359734
y[1] (numeric) = 1.011610758725631171181069335968
absolute error = 5.4e-30
relative error = 5.3380215200583752516897306124835e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.725
y[1] (analytic) = 1.0126106853464659152731607150427
y[1] (numeric) = 1.0126106853464659152731607150373
absolute error = 5.4e-30
relative error = 5.3327503631391997058688917539904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.726
y[1] (analytic) = 1.0136105993566163637897473300967
y[1] (numeric) = 1.0136105993566163637897473300912
absolute error = 5.5e-30
relative error = 5.4261468886484554481075792445474e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.727
y[1] (analytic) = 1.0146104997561685899065453995472
y[1] (numeric) = 1.0146104997561685899065453995417
absolute error = 5.5e-30
relative error = 5.4207994115197518302290681741941e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.728
y[1] (analytic) = 1.0156103855452222773963593251139
y[1] (numeric) = 1.0156103855452222773963593251085
absolute error = 5.4e-30
relative error = 5.3169995865107793049271468946065e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.729
y[1] (analytic) = 1.0166102557238917205293145939965
y[1] (numeric) = 1.0166102557238917205293145939911
absolute error = 5.4e-30
relative error = 5.3117701396341448223577100143960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 1.0176101092923068239584801849428
y[1] (numeric) = 1.0176101092923068239584801849374
absolute error = 5.4e-30
relative error = 5.3065510559396957746463859185396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.731
y[1] (analytic) = 1.0186099452506141025898805926749
y[1] (numeric) = 1.0186099452506141025898805926695
absolute error = 5.4e-30
relative error = 5.3013423098587642932280433371490e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.732
y[1] (analytic) = 1.0196097625989776814358976007435
y[1] (numeric) = 1.0196097625989776814358976007381
absolute error = 5.4e-30
relative error = 5.2961438759035027958671032289075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.733
y[1] (analytic) = 1.0206095603375802954510619494928
y[1] (numeric) = 1.0206095603375802954510619494874
absolute error = 5.4e-30
relative error = 5.2909557286665800013653087482794e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.734
y[1] (analytic) = 1.0216093374666242893492350634271
y[1] (numeric) = 1.0216093374666242893492350634217
absolute error = 5.4e-30
relative error = 5.2857778428208782810251223825316e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.735
y[1] (analytic) = 1.0226090929863326174011810208808
y[1] (numeric) = 1.0226090929863326174011810208754
absolute error = 5.4e-30
relative error = 5.2806101931191923401609957894385e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1213.1MB, alloc=4.6MB, time=54.12
TOP MAIN SOLVE Loop
x[1] = 4.736
y[1] (analytic) = 1.0236088258969498432115289685032
y[1] (numeric) = 1.0236088258969498432115289684979
absolute error = 5.3e-30
relative error = 5.1777591848681157188591936677864e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.737
y[1] (analytic) = 1.0246085351987431394741262036796
y[1] (numeric) = 1.0246085351987431394741262036742
absolute error = 5.4e-30
relative error = 5.2703055015568096342598203388740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.738
y[1] (analytic) = 1.025608219892003287704782169617
y[1] (numeric) = 1.0256082198920032877047821696116
absolute error = 5.4e-30
relative error = 5.2651684095985705710483545617994e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.739
y[1] (analytic) = 1.0266078789770456779504036304367
y[1] (numeric) = 1.0266078789770456779504036304313
absolute error = 5.4e-30
relative error = 5.2600414535886692581285958838360e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 1.027607511454211308473521317219
y[1] (numeric) = 1.0276075114542113084735213172136
absolute error = 5.4e-30
relative error = 5.2549246086749883804265289748893e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.741
y[1] (analytic) = 1.0286071163238677854112083605585
y[1] (numeric) = 1.0286071163238677854112083605532
absolute error = 5.3e-30
relative error = 5.1525990010079214466872888382658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.742
y[1] (analytic) = 1.0296066925864103224073908507946
y[1] (numeric) = 1.0296066925864103224073908507892
absolute error = 5.4e-30
relative error = 5.2447211531181863935118067396705e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.743
y[1] (analytic) = 1.0306062392422627402175508936887
y[1] (numeric) = 1.0306062392422627402175508936833
absolute error = 5.4e-30
relative error = 5.2396344931603230765504629412597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.744
y[1] (analytic) = 1.0316057552918784662848225569306
y[1] (numeric) = 1.0316057552918784662848225569252
absolute error = 5.4e-30
relative error = 5.2345578456686152204793193453034e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.745
y[1] (analytic) = 1.032605239735741534286481131459
y[1] (numeric) = 1.0326052397357415342864811314536
absolute error = 5.4e-30
relative error = 5.2294911861786962434182031840109e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.746
y[1] (analytic) = 1.033604691574367583649826161192
y[1] (numeric) = 1.0336046915743675836498261611866
absolute error = 5.4e-30
relative error = 5.2244344903028832962871312800068e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.747
y[1] (analytic) = 1.034604109808304859036458725367
y[1] (numeric) = 1.0346041098083048590364587253616
absolute error = 5.4e-30
relative error = 5.2193877337298913952320658797265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.748
y[1] (analytic) = 1.035603493438135209793953489296
y[1] (numeric) = 1.0356034934381352097939534892906
absolute error = 5.4e-30
relative error = 5.2143508922245488002577727411865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.749
y[1] (analytic) = 1.0366028414644750893739260719479
y[1] (numeric) = 1.0366028414644750893739260719425
absolute error = 5.4e-30
relative error = 5.2093239416275136338689889439181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1216.9MB, alloc=4.6MB, time=54.29
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 1.0376021528879765547154963123733
y[1] (numeric) = 1.0376021528879765547154963123679
absolute error = 5.4e-30
relative error = 5.2043068578549917335557860750122e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.751
y[1] (analytic) = 1.0386014267093282655931480515925
y[1] (numeric) = 1.0386014267093282655931480515871
absolute error = 5.4e-30
relative error = 5.1992996168984557319934772331391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.752
y[1] (analytic) = 1.0396006619292564839279860821691
y[1] (numeric) = 1.0396006619292564839279860821637
absolute error = 5.4e-30
relative error = 5.1943021948243653588616651529233e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.753
y[1] (analytic) = 1.0405998575485260730613909542965
y[1] (numeric) = 1.0405998575485260730613909542911
absolute error = 5.4e-30
relative error = 5.1893145677738889582210651450710e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.754
y[1] (analytic) = 1.0415990125679414969900723648257
y[1] (numeric) = 1.0415990125679414969900723648202
absolute error = 5.5e-30
relative error = 5.2803429473693415157061278837333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.755
y[1] (analytic) = 1.0425981259883478195615218942632
y[1] (numeric) = 1.0425981259883478195615218942578
absolute error = 5.4e-30
relative error = 5.1793686036803320875405751747900e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.756
y[1] (analytic) = 1.0435971968106317036288658963716
y[1] (numeric) = 1.0435971968106317036288658963661
absolute error = 5.5e-30
relative error = 5.2702326307589871523642944846459e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.757
y[1] (analytic) = 1.0445962240357224101641193856004
y[1] (numeric) = 1.0445962240357224101641193855949
absolute error = 5.5e-30
relative error = 5.2651923044017385237161226476697e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.758
y[1] (analytic) = 1.0455952066645927973288418091794
y[1] (numeric) = 1.0455952066645927973288418091739
absolute error = 5.5e-30
relative error = 5.2601618340856608061787532843099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.759
y[1] (analytic) = 1.0465941436982603195011956333001
y[1] (numeric) = 1.0465941436982603195011956332946
absolute error = 5.5e-30
relative error = 5.2551411959607569000933598342030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 1.0475930341377880262584087164105
y[1] (numeric) = 1.047593034137788026258408716405
absolute error = 5.5e-30
relative error = 5.2501303662511704895843310362447e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.761
y[1] (analytic) = 1.0485918769842855613136414872442
y[1] (numeric) = 1.0485918769842855613136414872387
absolute error = 5.5e-30
relative error = 5.2451293212549120892349632023423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.762
y[1] (analytic) = 1.0495906712389101614062599907995
y[1] (numeric) = 1.049590671238910161406259990794
absolute error = 5.5e-30
relative error = 5.2401380373435862747937489622870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.763
y[1] (analytic) = 1.0505894159028676551445159120795
y[1] (numeric) = 1.050589415902867655144515912074
absolute error = 5.5e-30
relative error = 5.2351564909621200920727328320470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.764
y[1] (analytic) = 1.0515881099774134617996347349953
y[1] (numeric) = 1.0515881099774134617996347349899
absolute error = 5.4e-30
relative error = 5.1350903921079745902639346268605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1220.7MB, alloc=4.6MB, time=54.47
TOP MAIN SOLVE Loop
x[1] = 4.765
y[1] (analytic) = 1.0525867524638535900503132424287
y[1] (numeric) = 1.0525867524638535900503132424233
absolute error = 5.4e-30
relative error = 5.1302184711710391585898318969203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.766
y[1] (analytic) = 1.0535853423635456366766276130382
y[1] (numeric) = 1.0535853423635456366766276130328
absolute error = 5.4e-30
relative error = 5.1253560417668559160739238699079e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.767
y[1] (analytic) = 1.054583878677899785202353420986
y[1] (numeric) = 1.0545838786778997852023534209805
absolute error = 5.5e-30
relative error = 5.2153272121845682180057872283812e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.768
y[1] (analytic) = 1.0555823604083798044846988963465
y[1] (numeric) = 1.055582360408379804484698896341
absolute error = 5.5e-30
relative error = 5.2103940026737281929378349804864e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.769
y[1] (analytic) = 1.056580786556504047250452856549
y[1] (numeric) = 1.0565807865565040472504528565435
absolute error = 5.5e-30
relative error = 5.2054703908870198398903845013256e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 1.0575791561238464485775487727873
y[1] (numeric) = 1.0575791561238464485775487727817
absolute error = 5.6e-30
relative error = 5.2951119238437592593885412349884e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.771
y[1] (analytic) = 1.0585774681120375243210464899166
y[1] (numeric) = 1.058577468112037524321046489911
absolute error = 5.6e-30
relative error = 5.2901182659664434177391468074004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.772
y[1] (analytic) = 1.0595757215227653694825331739402
y[1] (numeric) = 1.0595757215227653694825331739346
absolute error = 5.6e-30
relative error = 5.2851343101293228005178418910754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.773
y[1] (analytic) = 1.0605739153577766565219451177657
y[1] (numeric) = 1.0605739153577766565219451177601
absolute error = 5.6e-30
relative error = 5.2801600330806570869354253153261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.774
y[1] (analytic) = 1.0615720486188776336108120934944
y[1] (numeric) = 1.0615720486188776336108120934888
absolute error = 5.6e-30
relative error = 5.2751954116403972486748983716499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.775
y[1] (analytic) = 1.0625701203079351228259259980819
y[1] (numeric) = 1.0625701203079351228259259980763
absolute error = 5.6e-30
relative error = 5.2702404226999229642498690546306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.776
y[1] (analytic) = 1.0635681294268775182824355987836
y[1] (numeric) = 1.063568129426877518282435598778
absolute error = 5.6e-30
relative error = 5.2652950432217811586235267653107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.777
y[1] (analytic) = 1.0645660749776957842053692453754
y[1] (numeric) = 1.0645660749776957842053692453698
absolute error = 5.6e-30
relative error = 5.2603592502394256625870988722509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.778
y[1] (analytic) = 1.0655639559624444529385874777083
y[1] (numeric) = 1.0655639559624444529385874777027
absolute error = 5.6e-30
relative error = 5.2554330208569579864269497339137e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1224.5MB, alloc=4.6MB, time=54.64
x[1] = 4.779
y[1] (analytic) = 1.0665617713832426228901675197281
y[1] (numeric) = 1.0665617713832426228901675197225
absolute error = 5.6e-30
relative error = 5.2505163322488692024395473195262e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 1.0675595202422749564132217146596
y[1] (numeric) = 1.0675595202422749564132217146539
absolute error = 5.7e-30
relative error = 5.3392807538322790546491787291706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.781
y[1] (analytic) = 1.0685572015417926776211520206183
y[1] (numeric) = 1.0685572015417926776211520206127
absolute error = 5.6e-30
relative error = 5.2407114864041994239867942837239e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.782
y[1] (analytic) = 1.0695548142841145701363427514807
y[1] (numeric) = 1.069554814284114570136342751475
absolute error = 5.7e-30
relative error = 5.3293201282209950416356435182858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.783
y[1] (analytic) = 1.0705523574716279747712938144005
y[1] (numeric) = 1.0705523574716279747712938143948
absolute error = 5.7e-30
relative error = 5.3243542552761719673829821868078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.784
y[1] (analytic) = 1.0715498301067897871411967629237
y[1] (numeric) = 1.0715498301067897871411967629181
absolute error = 5.6e-30
relative error = 5.2260752068262738104107919757524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.785
y[1] (analytic) = 1.072547231192127455206956053208
y[1] (numeric) = 1.0725472311921274552069560532023
absolute error = 5.7e-30
relative error = 5.3144512747140251586438813272949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.786
y[1] (analytic) = 1.0735445597302399767476579604077
y[1] (numeric) = 1.073544559730239976747657960402
absolute error = 5.7e-30
relative error = 5.3095141215491741236039085605261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.787
y[1] (analytic) = 1.0745418147237988967614896828408
y[1] (numeric) = 1.0745418147237988967614896828351
absolute error = 5.7e-30
relative error = 5.3045864962129301989779850972388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.788
y[1] (analytic) = 1.0755389951755493047941112330996
y[1] (numeric) = 1.0755389951755493047941112330938
absolute error = 5.8e-30
relative error = 5.3926450142826526868430746944610e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.789
y[1] (analytic) = 1.0765361000883108321934827878174
y[1] (numeric) = 1.0765361000883108321934827878116
absolute error = 5.8e-30
relative error = 5.3876502604271348837574935488615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 1.0775331284649786492901502413476
y[1] (numeric) = 1.0775331284649786492901502413418
absolute error = 5.8e-30
relative error = 5.3826651327764798308645645666872e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.791
y[1] (analytic) = 1.0785300793085244625019917831509
y[1] (numeric) = 1.0785300793085244625019917831451
absolute error = 5.8e-30
relative error = 5.3776896085443818243490064023471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.792
y[1] (analytic) = 1.0795269516219975113624283942289
y[1] (numeric) = 1.0795269516219975113624283942232
absolute error = 5.7e-30
relative error = 5.2800904983758917291188509487921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.793
y[1] (analytic) = 1.0805237444085255654711012344762
y[1] (numeric) = 1.0805237444085255654711012344705
absolute error = 5.7e-30
relative error = 5.2752195678218598619442798935981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1228.3MB, alloc=4.6MB, time=54.81
TOP MAIN SOLVE Loop
x[1] = 4.794
y[1] (analytic) = 1.0815204566713159213660189703556
y[1] (numeric) = 1.0815204566713159213660189703499
absolute error = 5.7e-30
relative error = 5.2703580083388868954534166037506e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.795
y[1] (analytic) = 1.0825170874136563993161781708338
y[1] (numeric) = 1.0825170874136563993161781708281
absolute error = 5.7e-30
relative error = 5.2655057978053789659039043348320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.796
y[1] (analytic) = 1.0835136356389163400336599790395
y[1] (numeric) = 1.0835136356389163400336599790338
absolute error = 5.7e-30
relative error = 5.2606629141670898352188756818053e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.797
y[1] (analytic) = 1.0845101003505476013042063476299
y[1] (numeric) = 1.0845101003505476013042063476241
absolute error = 5.8e-30
relative error = 5.3480368676375245416001238456603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.798
y[1] (analytic) = 1.0855064805520855545352792073727
y[1] (numeric) = 1.085506480552085554535279207367
absolute error = 5.7e-30
relative error = 5.2510050396944622300115030298615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.799
y[1] (analytic) = 1.0865027752471500812206060209687
y[1] (numeric) = 1.0865027752471500812206060209629
absolute error = 5.8e-30
relative error = 5.3382284262280475177650514508629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 1.0874989834394465693202152576495
y[1] (numeric) = 1.0874989834394465693202152576437
absolute error = 5.8e-30
relative error = 5.3333383187690601939559624310334e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.801
y[1] (analytic) = 1.0884951041327669095549654086017
y[1] (numeric) = 1.0884951041327669095549654085959
absolute error = 5.8e-30
relative error = 5.3284575906485263832614337626624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.802
y[1] (analytic) = 1.0894911363309904916145712487684
y[1] (numeric) = 1.0894911363309904916145712487626
absolute error = 5.8e-30
relative error = 5.3235862198312952405199583194465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.803
y[1] (analytic) = 1.0904870790380852002781311370861
y[1] (numeric) = 1.0904870790380852002781311370803
absolute error = 5.8e-30
relative error = 5.3187241843490337442273604186410e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.804
y[1] (analytic) = 1.0914829312581084114461592347131
y[1] (numeric) = 1.0914829312581084114461592347073
absolute error = 5.8e-30
relative error = 5.3138714622999863277171773734753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.805
y[1] (analytic) = 1.0924786919952079880831266092996
y[1] (numeric) = 1.0924786919952079880831266092938
absolute error = 5.8e-30
relative error = 5.3090280318487355226106634433517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.806
y[1] (analytic) = 1.0934743602536232760695152828408
y[1] (numeric) = 1.0934743602536232760695152828351
absolute error = 5.7e-30
relative error = 5.2127422527565504439901987220436e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.807
y[1] (analytic) = 1.0944699350376860999623893711438
y[1] (numeric) = 1.094469935037686099962389371138
absolute error = 5.8e-30
relative error = 5.2993689587282152722484653774499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1232.1MB, alloc=4.6MB, time=54.98
x[1] = 4.808
y[1] (analytic) = 1.0954654153518217586634875544174
y[1] (numeric) = 1.0954654153518217586634875544117
absolute error = 5.7e-30
relative error = 5.2032678714639084673105323133031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.809
y[1] (analytic) = 1.0964608002005500209938412109789
y[1] (numeric) = 1.0964608002005500209938412109731
absolute error = 5.8e-30
relative error = 5.2897467916218629702841462200154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 1.0974560885884861211739226395384
y[1] (numeric) = 1.0974560885884861211739226395326
absolute error = 5.8e-30
relative error = 5.2849494939335382061454897168041e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.811
y[1] (analytic) = 1.0984512795203417542083278899997
y[1] (numeric) = 1.0984512795203417542083278899939
absolute error = 5.8e-30
relative error = 5.2801613582103276665817518943798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.812
y[1] (analytic) = 1.0994463720009260711739988181744
y[1] (numeric) = 1.0994463720009260711739988181686
absolute error = 5.8e-30
relative error = 5.2753823630745626040064234075636e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.813
y[1] (analytic) = 1.1004413650351466744109890762722
y[1] (numeric) = 1.1004413650351466744109890762665
absolute error = 5.7e-30
relative error = 5.1797398581231534945734457852318e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.814
y[1] (analytic) = 1.1014362576280106126147788484838
y[1] (numeric) = 1.101436257628010612614778848478
absolute error = 5.8e-30
relative error = 5.2658517093767590057240336406155e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.815
y[1] (analytic) = 1.1024310487846253758291432394236
y[1] (numeric) = 1.1024310487846253758291432394178
absolute error = 5.8e-30
relative error = 5.2611000083807576404991991750026e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.816
y[1] (analytic) = 1.1034257375101998903385793226488
y[1] (numeric) = 1.103425737510199890338579322643
absolute error = 5.8e-30
relative error = 5.2563573631038180594513793291086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.817
y[1] (analytic) = 1.1044203228100455134592969569087
y[1] (numeric) = 1.1044203228100455134592969569029
absolute error = 5.8e-30
relative error = 5.2516237524882720701336368710152e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.818
y[1] (analytic) = 1.1054148036895770282277785792174
y[1] (numeric) = 1.1054148036895770282277785792116
absolute error = 5.8e-30
relative error = 5.2468991555397678828732365840885e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.819
y[1] (analytic) = 1.1064091791543136379859132862726
y[1] (numeric) = 1.1064091791543136379859132862668
absolute error = 5.8e-30
relative error = 5.2421835513270444272089767122619e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 1.1074034482098799608617106191698
y[1] (numeric) = 1.107403448209879960861710619164
absolute error = 5.8e-30
relative error = 5.2374769189817066103536339153100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.821
y[1] (analytic) = 1.10839760986200702414459957078
y[1] (numeric) = 1.1083976098620070241445995707742
absolute error = 5.8e-30
relative error = 5.2327792376980015131973272536206e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.822
y[1] (analytic) = 1.1093916631165332585543184405762
y[1] (numeric) = 1.1093916631165332585543184405704
absolute error = 5.8e-30
relative error = 5.2280904867325955193916198589030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1236.0MB, alloc=4.6MB, time=55.16
TOP MAIN SOLVE Loop
x[1] = 4.823
y[1] (analytic) = 1.1103856069794054924024012681001
y[1] (numeric) = 1.1103856069794054924024012680943
absolute error = 5.8e-30
relative error = 5.2234106454043523730780473189832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.824
y[1] (analytic) = 1.1113794404566799456452666836665
y[1] (numeric) = 1.1113794404566799456452666836607
absolute error = 5.8e-30
relative error = 5.2187396930941121608484903444663e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.825
y[1] (analytic) = 1.1123731625545232238279151232993
y[1] (numeric) = 1.1123731625545232238279151232935
absolute error = 5.8e-30
relative error = 5.2140776092444712135483969191471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.826
y[1] (analytic) = 1.1133667722792133119172404642841
y[1] (numeric) = 1.1133667722792133119172404642783
absolute error = 5.8e-30
relative error = 5.2094243733595629235573067845494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.827
y[1] (analytic) = 1.1143602686371405680239622481092
y[1] (numeric) = 1.1143602686371405680239622481035
absolute error = 5.7e-30
relative error = 5.1150423794013077581491907251361e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.828
y[1] (analytic) = 1.1153536506348087170121847689456
y[1] (numeric) = 1.1153536506348087170121847689399
absolute error = 5.7e-30
relative error = 5.1104867023619087032761364673297e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.829
y[1] (analytic) = 1.1163469172788358439955894181887
y[1] (numeric) = 1.116346917278835843995589418183
absolute error = 5.7e-30
relative error = 5.1059396606693732691400462425832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 1.1173400675759553877192667889538
y[1] (numeric) = 1.1173400675759553877192667889481
absolute error = 5.7e-30
relative error = 5.1014012344209799773675513161107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.831
y[1] (analytic) = 1.1183331005330171338261951587748
y[1] (numeric) = 1.1183331005330171338261951587691
absolute error = 5.7e-30
relative error = 5.0968714037734197555987531278202e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.832
y[1] (analytic) = 1.1193260151569882080073720841106
y[1] (numeric) = 1.1193260151569882080073720841049
absolute error = 5.7e-30
relative error = 5.0923501489425858431168770074412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.833
y[1] (analytic) = 1.120318810454954069034605956611
y[1] (numeric) = 1.1203188104549540690346059566053
absolute error = 5.7e-30
relative error = 5.0878374502033645667730285906836e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.834
y[1] (analytic) = 1.1213114854341195016749744884326
y[1] (numeric) = 1.1213114854341195016749744884269
absolute error = 5.7e-30
relative error = 5.0833332878894269830952746634867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.835
y[1] (analytic) = 1.1223040391018096094859572122291
y[1] (numeric) = 1.1223040391018096094859572122234
absolute error = 5.7e-30
relative error = 5.0788376423930213824931150289286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.836
y[1] (analytic) = 1.1232964704654708074902492007666
y[1] (numeric) = 1.1232964704654708074902492007609
absolute error = 5.7e-30
relative error = 5.0743504941647666514901279816096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1239.8MB, alloc=4.6MB, time=55.32
x[1] = 4.837
y[1] (analytic) = 1.1242887785326718147292633314326
y[1] (numeric) = 1.1242887785326718147292633314269
absolute error = 5.7e-30
relative error = 5.0698718237134464889391599232411e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.838
y[1] (analytic) = 1.1252809623111046466943285422189
y[1] (numeric) = 1.1252809623111046466943285422132
absolute error = 5.7e-30
relative error = 5.0654016116058044721958903907882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.839
y[1] (analytic) = 1.1262730208085856076345916480637
y[1] (numeric) = 1.126273020808585607634591648058
absolute error = 5.7e-30
relative error = 5.0609398384663399692479381189951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.84
y[1] (analytic) = 1.1272649530330562827406304097327
y[1] (numeric) = 1.1272649530330562827406304097269
absolute error = 5.8e-30
relative error = 5.1451967741872295400603015327696e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.841
y[1] (analytic) = 1.1282567579925845302027856717093
y[1] (numeric) = 1.1282567579925845302027856717035
absolute error = 5.8e-30
relative error = 5.1406738394542995607687759820994e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.842
y[1] (analytic) = 1.1292484346953654731432205108453
y[1] (numeric) = 1.1292484346953654731432205108395
absolute error = 5.8e-30
relative error = 5.1361594329459057419162691463069e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.843
y[1] (analytic) = 1.1302399821497224914207144637936
y[1] (numeric) = 1.1302399821497224914207144637878
absolute error = 5.8e-30
relative error = 5.1316535351796429792243775492559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.844
y[1] (analytic) = 1.1312313993641082133072010285133
y[1] (numeric) = 1.1312313993641082133072010285075
absolute error = 5.8e-30
relative error = 5.1271561267308496476316081881928e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.845
y[1] (analytic) = 1.1322226853471055070350567633913
y[1] (numeric) = 1.1322226853471055070350567633855
absolute error = 5.8e-30
relative error = 5.1226671882324050133801571838769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.846
y[1] (analytic) = 1.1332138391074284722141504367743
y[1] (numeric) = 1.1332138391074284722141504367685
absolute error = 5.8e-30
relative error = 5.1181867003745274789853504143740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.847
y[1] (analytic) = 1.1342048596539234311176608099443
y[1] (numeric) = 1.1342048596539234311176608099384
absolute error = 5.9e-30
relative error = 5.2018821377649973409283733297337e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.848
y[1] (analytic) = 1.1351957459955699198356717678025
y[1] (numeric) = 1.1351957459955699198356717677966
absolute error = 5.9e-30
relative error = 5.1973415341031630677353416430693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.849
y[1] (analytic) = 1.13618649714148167929555364375
y[1] (numeric) = 1.1361864971414816792955536437442
absolute error = 5.8e-30
relative error = 5.1047957484023548689077866074598e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 1.1371771121009076461481397184653
y[1] (numeric) = 1.1371771121009076461481397184594
absolute error = 5.9e-30
relative error = 5.1882859206512611205311941221985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.851
y[1] (analytic) = 1.1381675898832329435187070064845
y[1] (numeric) = 1.1381675898832329435187070064786
absolute error = 5.9e-30
relative error = 5.1837708720956407361837399709538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1243.6MB, alloc=4.6MB, time=55.49
TOP MAIN SOLVE Loop
x[1] = 4.852
y[1] (analytic) = 1.1391579294979798716217705796881
y[1] (numeric) = 1.1391579294979798716217705796822
absolute error = 5.9e-30
relative error = 5.1792643032385289460405084052560e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.853
y[1] (analytic) = 1.1401481299548088982387008129798
y[1] (numeric) = 1.1401481299548088982387008129739
absolute error = 5.9e-30
relative error = 5.1747661948398348780363635328226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.854
y[1] (analytic) = 1.1411381902635196490571730746249
y[1] (numeric) = 1.1411381902635196490571730746189
absolute error = 6.0e-30
relative error = 5.2579083332706951480098309628052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.855
y[1] (analytic) = 1.1421281094340518978714595218794
y[1] (numeric) = 1.1421281094340518978714595218735
absolute error = 5.9e-30
relative error = 5.1657952827407181461033093637987e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.856
y[1] (analytic) = 1.1431178864764865566425728017023
y[1] (numeric) = 1.1431178864764865566425728016964
absolute error = 5.9e-30
relative error = 5.1613224408429029186240254751478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.857
y[1] (analytic) = 1.144107520401046665417271596488
y[1] (numeric) = 1.144107520401046665417271596482
absolute error = 6.0e-30
relative error = 5.2442623556016886155180738492604e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.858
y[1] (analytic) = 1.1450970102180983821049380958968
y[1] (numeric) = 1.1450970102180983821049380958908
absolute error = 6.0e-30
relative error = 5.2397307358764505060054513864308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.859
y[1] (analytic) = 1.1460863549381519721113376179893
y[1] (numeric) = 1.1460863549381519721113376179833
absolute error = 6.0e-30
relative error = 5.2352076038142756405852530041949e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 1.1470755535718627978282707459854
y[1] (numeric) = 1.1470755535718627978282707459794
absolute error = 6.0e-30
relative error = 5.2306929402485149996121488203185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.861
y[1] (analytic) = 1.1480646051300323079781284910802
y[1] (numeric) = 1.1480646051300323079781284910742
absolute error = 6.0e-30
relative error = 5.2261867260688059258517198065288e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.862
y[1] (analytic) = 1.149053508623609026812361136843
y[1] (numeric) = 1.149053508623609026812361136837
absolute error = 6.0e-30
relative error = 5.2216889422208766629732717912681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.863
y[1] (analytic) = 1.1500422630636895431628715668137
y[1] (numeric) = 1.1500422630636895431628715668077
absolute error = 6.0e-30
relative error = 5.2171995697063516898038314513501e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.864
y[1] (analytic) = 1.1510308674615194993453440239848
y[1] (numeric) = 1.1510308674615194993453440239788
absolute error = 6.0e-30
relative error = 5.2127185895825578466504235544958e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.865
y[1] (analytic) = 1.1520193208284945799135193989235
y[1] (numeric) = 1.1520193208284945799135193989176
absolute error = 5.9e-30
relative error = 5.1214418832462923958500620609249e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1247.4MB, alloc=4.6MB, time=55.67
x[1] = 4.866
y[1] (analytic) = 1.1530076221761615002634282923409
y[1] (numeric) = 1.153007622176161500263428292335
absolute error = 5.9e-30
relative error = 5.1170520354969279088606334075498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.867
y[1] (analytic) = 1.1539957705162189950865932479566
y[1] (numeric) = 1.1539957705162189950865932479507
absolute error = 5.9e-30
relative error = 5.1126703847109789941392179659685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.868
y[1] (analytic) = 1.1549837648605188066712117025404
y[1] (numeric) = 1.1549837648605188066712117025345
absolute error = 5.9e-30
relative error = 5.1082969124786886932824482868698e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.869
y[1] (analytic) = 1.1559716042210666730503313520294
y[1] (numeric) = 1.1559716042210666730503313520235
absolute error = 5.9e-30
relative error = 5.1039316004441323816578478461478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 1.156959287610023315996029785628
y[1] (numeric) = 1.1569592876100233159960297856222
absolute error = 5.8e-30
relative error = 5.0131409653846074574450810279555e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.871
y[1] (analytic) = 1.1579468140397054288586103937932
y[1] (numeric) = 1.1579468140397054288586103937874
absolute error = 5.8e-30
relative error = 5.0088656315445597331246414762941e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.872
y[1] (analytic) = 1.1589341825225866642498267109915
y[1] (numeric) = 1.1589341825225866642498267109857
absolute error = 5.8e-30
relative error = 5.0045982657750823733820390531865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.873
y[1] (analytic) = 1.1599213920712986215691475100859
y[1] (numeric) = 1.1599213920712986215691475100801
absolute error = 5.8e-30
relative error = 5.0003388502412262887200416785353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.874
y[1] (analytic) = 1.1609084416986318343720751221702
y[1] (numeric) = 1.1609084416986318343720751221643
absolute error = 5.9e-30
relative error = 5.0822268045248837714841379061873e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.875
y[1] (analytic) = 1.1618953304175367575795296136132
y[1] (numeric) = 1.1618953304175367575795296136073
absolute error = 5.9e-30
relative error = 5.0779100711935780769455326315878e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.876
y[1] (analytic) = 1.1628820572411247545273116110133
y[1] (numeric) = 1.1628820572411247545273116110074
absolute error = 5.9e-30
relative error = 5.0736013710603061741399386317840e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.877
y[1] (analytic) = 1.1638686211826690838546567246804
y[1] (numeric) = 1.1638686211826690838546567246745
absolute error = 5.9e-30
relative error = 5.0693006861931674055067693317325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.878
y[1] (analytic) = 1.1648550212556058862308946821748
y[1] (numeric) = 1.1648550212556058862308946821689
absolute error = 5.9e-30
relative error = 5.0650079987124458999284641401277e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.879
y[1] (analytic) = 1.1658412564735351709192264453253
y[1] (numeric) = 1.1658412564735351709192264453194
absolute error = 5.9e-30
relative error = 5.0607232907904311901625164743911e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 1.1668273258502218021766327470316
y[1] (numeric) = 1.1668273258502218021766327470257
absolute error = 5.9e-30
relative error = 5.0564465446512395535447505926820e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1251.2MB, alloc=4.6MB, time=55.83
TOP MAIN SOLVE Loop
x[1] = 4.881
y[1] (analytic) = 1.1678132283995964854889276480252
y[1] (numeric) = 1.1678132283995964854889276480193
absolute error = 5.9e-30
relative error = 5.0521777425706360726403670947957e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.882
y[1] (analytic) = 1.1687989631357567536399708786165
y[1] (numeric) = 1.1687989631357567536399708786107
absolute error = 5.8e-30
relative error = 4.9623589538779615241883868487771e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.883
y[1] (analytic) = 1.1697845290729679526140528962995
y[1] (numeric) = 1.1697845290729679526140528962936
absolute error = 5.9e-30
relative error = 5.0436638999454353114868150627162e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.884
y[1] (analytic) = 1.1707699252256642273304667569088
y[1] (numeric) = 1.1707699252256642273304667569029
absolute error = 5.9e-30
relative error = 5.0394188242090207816367182846309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.885
y[1] (analytic) = 1.1717551506084495072092810648421
y[1] (numeric) = 1.1717551506084495072092810648361
absolute error = 6.0e-30
relative error = 5.1205236835395345931246109844395e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.886
y[1] (analytic) = 1.1727402042360984915673284366544
y[1] (numeric) = 1.1727402042360984915673284366485
absolute error = 5.9e-30
relative error = 5.0309522762913650024574337495795e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.887
y[1] (analytic) = 1.1737250851235576348434240821206
y[1] (numeric) = 1.1737250851235576348434240821147
absolute error = 5.9e-30
relative error = 5.0267307692234498295314909595254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.888
y[1] (analytic) = 1.1747097922859461316518292776266
y[1] (numeric) = 1.1747097922859461316518292776207
absolute error = 5.9e-30
relative error = 5.0225170835758477007708973132190e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.889
y[1] (analytic) = 1.1756943247385569016629746785111
y[1] (numeric) = 1.1756943247385569016629746785052
absolute error = 5.9e-30
relative error = 5.0183112020311936345175750530582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 1.1766786814968575743104585897138
y[1] (numeric) = 1.1766786814968575743104585897079
absolute error = 5.9e-30
relative error = 5.0141131073222018579068780328972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.891
y[1] (analytic) = 1.177662861576491473323335487816
y[1] (numeric) = 1.17766286157649147332333548781
absolute error = 6.0e-30
relative error = 5.0948367276930456487498884482564e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.892
y[1] (analytic) = 1.1786468639932786010827102622654
y[1] (numeric) = 1.1786468639932786010827102622594
absolute error = 6.0e-30
relative error = 5.0905832639912880986878562661553e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.893
y[1] (analytic) = 1.1796306877632166228016538192747
y[1] (numeric) = 1.1796306877632166228016538192686
absolute error = 6.1e-30
relative error = 5.1711099611749273858082336571521e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.894
y[1] (analytic) = 1.1806143319024818505274558685582
y[1] (numeric) = 1.1806143319024818505274558685522
absolute error = 6.0e-30
relative error = 5.0820999185495208603748480761727e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1255.0MB, alloc=4.6MB, time=56.01
x[1] = 4.895
y[1] (analytic) = 1.1815977954274302269652308907383
y[1] (numeric) = 1.1815977954274302269652308907322
absolute error = 6.1e-30
relative error = 5.1625011688460293324192196225270e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.896
y[1] (analytic) = 1.1825810773545983091218934618947
y[1] (numeric) = 1.1825810773545983091218934618886
absolute error = 6.1e-30
relative error = 5.1582086985913338078735978575335e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.897
y[1] (analytic) = 1.1835641767007042517695192913665
y[1] (numeric) = 1.1835641767007042517695192913604
absolute error = 6.1e-30
relative error = 5.1539241555995045856083748342486e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.898
y[1] (analytic) = 1.1845470924826487907271085095249
y[1] (numeric) = 1.1845470924826487907271085095188
absolute error = 6.1e-30
relative error = 5.1496475224258360263066011077212e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.899
y[1] (analytic) = 1.1855298237175162259597679238374
y[1] (numeric) = 1.1855298237175162259597679238313
absolute error = 6.1e-30
relative error = 5.1453787816758340928201911942517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 1.1865123694225754044943291441219
y[1] (numeric) = 1.1865123694225754044943291441158
absolute error = 6.1e-30
relative error = 5.1411179160050458918487054111485e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.901
y[1] (analytic) = 1.1874947286152807031504196614552
y[1] (numeric) = 1.1874947286152807031504196614491
absolute error = 6.1e-30
relative error = 5.1368649081188898948475108830111e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.902
y[1] (analytic) = 1.1884769003132730110860041497461
y[1] (numeric) = 1.18847690031327301108600414974
absolute error = 6.1e-30
relative error = 5.1326197407724868350817226539623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.903
y[1] (analytic) = 1.1894588835343807121564134445145
y[1] (numeric) = 1.1894588835343807121564134445084
absolute error = 6.1e-30
relative error = 5.1283823967704912777580815418026e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.904
y[1] (analytic) = 1.1904406772966206670858788399283
y[1] (numeric) = 1.1904406772966206670858788399223
absolute error = 6.0e-30
relative error = 5.0401503530822201903435328226041e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.905
y[1] (analytic) = 1.191422280618199195450589532647
y[1] (numeric) = 1.191422280618199195450589532641
absolute error = 6.0e-30
relative error = 5.0359978133754139661383459710031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.906
y[1] (analytic) = 1.1924036925175130574722912294946
y[1] (numeric) = 1.1924036925175130574722912294887
absolute error = 5.9e-30
relative error = 4.9479887030065915277027690210136e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.907
y[1] (analytic) = 1.1933849120131504356214441254473
y[1] (numeric) = 1.1933849120131504356214441254414
absolute error = 5.9e-30
relative error = 4.9439203903182792151720907266059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.908
y[1] (analytic) = 1.1943659381238919160289586488572
y[1] (numeric) = 1.1943659381238919160289586488513
absolute error = 5.9e-30
relative error = 4.9398595620264510037848806133656e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.909
y[1] (analytic) = 1.1953467698687114697055275622608
y[1] (numeric) = 1.1953467698687114697055275622549
absolute error = 5.9e-30
relative error = 4.9358062017836169349004166631192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1258.8MB, alloc=4.6MB, time=56.18
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 1.1963274062667774335675731995194
y[1] (numeric) = 1.1963274062667774335675731995135
absolute error = 5.9e-30
relative error = 4.9317602932890744508998388875146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.911
y[1] (analytic) = 1.1973078463374534912688288134277
y[1] (numeric) = 1.1973078463374534912688288134218
absolute error = 5.9e-30
relative error = 4.9277218202887505906663647431751e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.912
y[1] (analytic) = 1.1982880891002996538365732022902
y[1] (numeric) = 1.1982880891002996538365732022844
absolute error = 5.8e-30
relative error = 4.8402383807008915081765491561590e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.913
y[1] (analytic) = 1.1992681335750732401115379793131
y[1] (numeric) = 1.1992681335750732401115379793073
absolute error = 5.8e-30
relative error = 4.8362829275801186545331031326791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.914
y[1] (analytic) = 1.2002479787817298569905070449846
y[1] (numeric) = 1.2002479787817298569905070449788
absolute error = 5.8e-30
relative error = 4.8323347362659915746915149801018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.915
y[1] (analytic) = 1.2012276237404243794706280199282
y[1] (numeric) = 1.2012276237404243794706280199224
absolute error = 5.8e-30
relative error = 4.8283937909617480745256841799174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.916
y[1] (analytic) = 1.2022070674715119304944555939973
y[1] (numeric) = 1.2022070674715119304944555939915
absolute error = 5.8e-30
relative error = 4.8244600759156987354588235001551e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.917
y[1] (analytic) = 1.2031863089955488605947469466498
y[1] (numeric) = 1.203186308995548860594746946644
absolute error = 5.8e-30
relative error = 4.8205335754210754296007387002965e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.918
y[1] (analytic) = 1.20416534733329372733802959389
y[1] (numeric) = 1.2041653473332937273380295938841
absolute error = 5.9e-30
relative error = 4.8996593475023611299655844175844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.919
y[1] (analytic) = 1.2051441815057082745659622182898
y[1] (numeric) = 1.2051441815057082745659622182839
absolute error = 5.9e-30
relative error = 4.8956797788531281355526978919982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 1.2061228105339584114335092408118
y[1] (numeric) = 1.2061228105339584114335092408059
absolute error = 5.9e-30
relative error = 4.8917075014840583549781233751005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.921
y[1] (analytic) = 1.2071012334394151912429500963398
y[1] (numeric) = 1.2071012334394151912429500963339
absolute error = 5.9e-30
relative error = 4.8877424995988316539085868486220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.922
y[1] (analytic) = 1.2080794492436557900727443789899
y[1] (numeric) = 1.208079449243655790072744378984
absolute error = 5.9e-30
relative error = 4.8837847574460622799479915856836e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.923
y[1] (analytic) = 1.2090574569684644852002742284184
y[1] (numeric) = 1.2090574569684644852002742284125
absolute error = 5.9e-30
relative error = 4.8798342593191483748526004519466e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1262.7MB, alloc=4.6MB, time=56.35
x[1] = 4.924
y[1] (analytic) = 1.2100352556358336333174855344652
y[1] (numeric) = 1.2100352556358336333174855344593
absolute error = 5.9e-30
relative error = 4.8758909895561220788154151627772e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.925
y[1] (analytic) = 1.211012844267964648538449744574
y[1] (numeric) = 1.2110128442679646485384497445681
absolute error = 5.9e-30
relative error = 4.8719549325395002241668100650907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.926
y[1] (analytic) = 1.2119902218872689801978682665079
y[1] (numeric) = 1.211990221887268980197868266502
absolute error = 5.9e-30
relative error = 4.8680260726961356158518592716119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.927
y[1] (analytic) = 1.2129673875163690904395416679384
y[1] (numeric) = 1.2129673875163690904395416679324
absolute error = 6.0e-30
relative error = 4.9465468418614259959912904920835e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.928
y[1] (analytic) = 1.2139443401780994315938260845188
y[1] (numeric) = 1.2139443401780994315938260845128
absolute error = 6.0e-30
relative error = 4.9425659821600484647939580267954e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.929
y[1] (analytic) = 1.2149210788955074233430994590692
y[1] (numeric) = 1.2149210788955074233430994590632
absolute error = 6.0e-30
relative error = 4.9385923943756401351782641715741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 1.2158976026918544296742604464858
y[1] (numeric) = 1.2158976026918544296742604464798
absolute error = 6.0e-30
relative error = 4.9346260628499513231470339245464e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.931
y[1] (analytic) = 1.2168739105906167356172830319588
y[1] (numeric) = 1.2168739105906167356172830319528
absolute error = 6.0e-30
relative error = 4.9306669719690724313414467581004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.932
y[1] (analytic) = 1.2178500016154865237688501240247
y[1] (numeric) = 1.2178500016154865237688501240187
absolute error = 6.0e-30
relative error = 4.9267151061632862335630753638621e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.933
y[1] (analytic) = 1.2188258747903728506000895989016
y[1] (numeric) = 1.2188258747903728506000895988956
absolute error = 6.0e-30
relative error = 4.9227704499069207376025736364764e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.934
y[1] (analytic) = 1.2198015291394026225474364884517
y[1] (numeric) = 1.2198015291394026225474364884458
absolute error = 5.9e-30
relative error = 4.8368524379228992467335939020519e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.935
y[1] (analytic) = 1.2207769636869215718856452209917
y[1] (numeric) = 1.2207769636869215718856452209857
absolute error = 6.0e-30
relative error = 4.9149027041591112567497024187964e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.936
y[1] (analytic) = 1.2217521774574952323819760420181
y[1] (numeric) = 1.2217521774574952323819760420121
absolute error = 6.0e-30
relative error = 4.9109795838352332676630540291407e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.937
y[1] (analytic) = 1.2227271694759099147305799607448
y[1] (numeric) = 1.2227271694759099147305799607388
absolute error = 6.0e-30
relative error = 4.9070636113956177047401322752276e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.938
y[1] (analytic) = 1.223701938767173681766106788147
y[1] (numeric) = 1.2237019387671736817661067881409
absolute error = 6.1e-30
relative error = 4.9848740177248422782851126621220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1266.5MB, alloc=4.6MB, time=56.52
TOP MAIN SOLVE Loop
x[1] = 4.939
y[1] (analytic) = 1.2246764843565173234555610529859
y[1] (numeric) = 1.2246764843565173234555610529798
absolute error = 6.1e-30
relative error = 4.9809072664648472771520920426280e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 1.2256508052693953316674308040397
y[1] (numeric) = 1.2256508052693953316674308040337
absolute error = 6.0e-30
relative error = 4.8953584285217462836141418821301e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.941
y[1] (analytic) = 1.2266249005314868747171145294925
y[1] (numeric) = 1.2266249005314868747171145294865
absolute error = 6.0e-30
relative error = 4.8914708949738811117079106798788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.942
y[1] (analytic) = 1.2275987691686967716876716481357
y[1] (numeric) = 1.2275987691686967716876716481297
absolute error = 6.0e-30
relative error = 4.8875904332024295737846260197211e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.943
y[1] (analytic) = 1.2285724102071564665249222517129
y[1] (numeric) = 1.2285724102071564665249222517069
absolute error = 6.0e-30
relative error = 4.8837170281142048737267890745100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.944
y[1] (analytic) = 1.2295458226732250019059220033897
y[1] (numeric) = 1.2295458226732250019059220033837
absolute error = 6.0e-30
relative error = 4.8798506646584843805720947729436e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.945
y[1] (analytic) = 1.2305190055934899928798383239541
y[1] (numeric) = 1.2305190055934899928798383239482
absolute error = 5.9e-30
relative error = 4.7947248056964214130170599553599e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.946
y[1] (analytic) = 1.2314919579947686002802542249534
y[1] (numeric) = 1.2314919579947686002802542249474
absolute error = 6.0e-30
relative error = 4.8721390026531444930581041764685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.947
y[1] (analytic) = 1.2324646789041085039079263765432
y[1] (numeric) = 1.2324646789041085039079263765373
absolute error = 5.9e-30
relative error = 4.7871554463095875040261050539174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.948
y[1] (analytic) = 1.2334371673487888754830242273744
y[1] (numeric) = 1.2334371673487888754830242273685
absolute error = 5.9e-30
relative error = 4.7833810721641809378305142063051e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.949
y[1] (analytic) = 1.2344094223563213513658772243566
y[1] (numeric) = 1.2344094223563213513658772243507
absolute error = 5.9e-30
relative error = 4.7796135489128838172823869762608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 1.2353814429544510050452574116347
y[1] (numeric) = 1.2353814429544510050452574116289
absolute error = 5.8e-30
relative error = 4.6949062033254519745673892988306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.951
y[1] (analytic) = 1.2363532281711573193932249205761
y[1] (numeric) = 1.2363532281711573193932249205702
absolute error = 5.9e-30
relative error = 4.7720989969245426096038775357102e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.952
y[1] (analytic) = 1.2373247770346551586855640960026
y[1] (numeric) = 1.2373247770346551586855640959967
absolute error = 5.9e-30
relative error = 4.7683519392053296018966102232839e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=1270.3MB, alloc=4.6MB, time=56.70
x[1] = 4.953
y[1] (analytic) = 1.2382960885733957403868382383149
y[1] (numeric) = 1.238296088573395740386838238309
absolute error = 5.9e-30
relative error = 4.7646116744156200235792737985581e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.954
y[1] (analytic) = 1.2392671618160676066990911765331
y[1] (numeric) = 1.2392671618160676066990911765272
absolute error = 5.9e-30
relative error = 4.7608781881655956598028476964099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.955
y[1] (analytic) = 1.2402379957915975958732241236342
y[1] (numeric) = 1.2402379957915975958732241236283
absolute error = 5.9e-30
relative error = 4.7571514661057052491170779597304e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.956
y[1] (analytic) = 1.24120858952915181328207650289
y[1] (numeric) = 1.2412085895291518132820765028841
absolute error = 5.9e-30
relative error = 4.7534314939265322032642215814588e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.957
y[1] (analytic) = 1.2421789420581366022542396722059
y[1] (numeric) = 1.2421789420581366022542396722
absolute error = 5.9e-30
relative error = 4.7497182573586628381696065127015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.958
y[1] (analytic) = 1.2431490524081995146676327127274
y[1] (numeric) = 1.2431490524081995146676327127216
absolute error = 5.8e-30
relative error = 4.6655708651865796034757310448341e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.959
y[1] (analytic) = 1.2441189196092302813018696882201
y[1] (numeric) = 1.2441189196092302813018696882143
absolute error = 5.8e-30
relative error = 4.6619337658025026628901032086939e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 1.2450885426913617819484480229353
y[1] (numeric) = 1.2450885426913617819484480229295
absolute error = 5.8e-30
relative error = 4.6583032460188097747157615484126e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.961
y[1] (analytic) = 1.2460579206849710152777878878557
y[1] (numeric) = 1.2460579206849710152777878878498
absolute error = 5.9e-30
relative error = 4.7349323832047137569693320509806e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.962
y[1] (analytic) = 1.2470270526206800684621527283608
y[1] (numeric) = 1.2470270526206800684621527283549
absolute error = 5.9e-30
relative error = 4.7312526120430992902352452017105e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.963
y[1] (analytic) = 1.2479959375293570865534813104739
y[1] (numeric) = 1.247995937529357086553481310468
absolute error = 5.9e-30
relative error = 4.7275794917090521696297061672423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.964
y[1] (analytic) = 1.2489645744421172416151619079376
y[1] (numeric) = 1.2489645744421172416151619079317
absolute error = 5.9e-30
relative error = 4.7239130082095319792316383445952e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.965
y[1] (analytic) = 1.2499329623903237016067794984262
y[1] (numeric) = 1.2499329623903237016067794984203
absolute error = 5.9e-30
relative error = 4.7202531475904651908135194510299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.966
y[1] (analytic) = 1.2509011004055885990208670842274
y[1] (numeric) = 1.2509011004055885990208670842214
absolute error = 6.0e-30
relative error = 4.7965422670541876905865046453353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.967
y[1] (analytic) = 1.2518689875197739992706925007226
y[1] (numeric) = 1.2518689875197739992706925007167
absolute error = 5.9e-30
relative error = 4.7129532393714690260923655261453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1274.1MB, alloc=4.6MB, time=56.87
TOP MAIN SOLVE Loop
x[1] = 4.968
y[1] (analytic) = 1.2528366227649928688281123249614
y[1] (numeric) = 1.2528366227649928688281123249555
absolute error = 5.9e-30
relative error = 4.7093131640570840628076535216553e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.969
y[1] (analytic) = 1.253804005173610043110524746554
y[1] (numeric) = 1.2538040051736100431105247465481
absolute error = 5.9e-30
relative error = 4.7056796561939892288219658879440e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 1.2547711337782431941159535140125
y[1] (numeric) = 1.2547711337782431941159535140066
absolute error = 5.9e-30
relative error = 4.7020527020210461649802643678391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.971
y[1] (analytic) = 1.2557380076117637978052953215359
y[1] (numeric) = 1.2557380076117637978052953215299
absolute error = 6.0e-30
relative error = 4.7780667333715190711954759644200e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.972
y[1] (analytic) = 1.256704625707298101230763254072
y[1] (numeric) = 1.256704625707298101230763254066
absolute error = 6.0e-30
relative error = 4.7743915931104987312836740964170e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.973
y[1] (analytic) = 1.2576709870982280894095591622945
y[1] (numeric) = 1.2576709870982280894095591622886
absolute error = 5.9e-30
relative error = 4.6912110246041569089929823021272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.974
y[1] (analytic) = 1.2586370908181924519418080939029
y[1] (numeric) = 1.258637090818192451941808093897
absolute error = 5.9e-30
relative error = 4.6876101483427862109006441111342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.975
y[1] (analytic) = 1.2596029359010875493717881633902
y[1] (numeric) = 1.2596029359010875493717881633844
absolute error = 5.8e-30
relative error = 4.6046256599511886246121923059816e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.976
y[1] (analytic) = 1.2605685213810683792914894991317
y[1] (numeric) = 1.2605685213810683792914894991259
absolute error = 5.8e-30
relative error = 4.6010985532508524630627997086005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.977
y[1] (analytic) = 1.2615338462925495421855361643133
y[1] (numeric) = 1.2615338462925495421855361643075
absolute error = 5.8e-30
relative error = 4.5975777955108314396829267924140e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.978
y[1] (analytic) = 1.2624989096702062070165052068604
y[1] (numeric) = 1.2624989096702062070165052068547
absolute error = 5.7e-30
relative error = 4.5148553843020516207502528771501e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.979
y[1] (analytic) = 1.2634637105489750765496772531281
y[1] (numeric) = 1.2634637105489750765496772531223
absolute error = 5.8e-30
relative error = 4.5905552740251633875867406512438e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 1.2644282479640553524162533206808
y[1] (numeric) = 1.264428247964055352416253320675
absolute error = 5.8e-30
relative error = 4.5870534839276067968133334830151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.981
y[1] (analytic) = 1.2653925209509096999140727870283
y[1] (numeric) = 1.2653925209509096999140727870225
absolute error = 5.8e-30
relative error = 4.5835579900863095406224440019622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.982
y[1] (analytic) = 1.2663565285452652125448677136775
y[1] (numeric) = 1.2663565285452652125448677136717
memory used=1277.9MB, alloc=4.6MB, time=57.04
absolute error = 5.8e-30
relative error = 4.5800687794161612467492519588756e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.983
y[1] (analytic) = 1.2673202697831143762870889883272
y[1] (numeric) = 1.2673202697831143762870889883214
absolute error = 5.8e-30
relative error = 4.5765858388681778712010980561884e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.984
y[1] (analytic) = 1.268283743700716033603340012461
y[1] (numeric) = 1.2682837437007160336033400124551
absolute error = 5.9e-30
relative error = 4.6519558650057536358213602684106e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.985
y[1] (analytic) = 1.2692469493345963471814539269828
y[1] (numeric) = 1.2692469493345963471814539269769
absolute error = 5.9e-30
relative error = 4.6484255905386098172618008908803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.986
y[1] (analytic) = 1.2702098857215497634082506349003
y[1] (numeric) = 1.2702098857215497634082506348945
absolute error = 5.8e-30
relative error = 4.5661745080068227181737700170388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.987
y[1] (analytic) = 1.2711725518986399755750101473784
y[1] (numeric) = 1.2711725518986399755750101473725
absolute error = 5.9e-30
relative error = 4.6413840443515577105548075702538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.988
y[1] (analytic) = 1.2721349469032008868136990477691
y[1] (numeric) = 1.2721349469032008868136990477632
absolute error = 5.9e-30
relative error = 4.6378727464115031256377768109067e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.989
y[1] (analytic) = 1.2730970697728375727629871374734
y[1] (numeric) = 1.2730970697728375727629871374675
absolute error = 5.9e-30
relative error = 4.6343677478204817691582852868424e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 1.274058919545427243963091597697
y[1] (numeric) = 1.274058919545427243963091597691
absolute error = 6.0e-30
relative error = 4.7093583412459025053139247812774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.991
y[1] (analytic) = 1.2750204952591202079784862723363
y[1] (numeric) = 1.2750204952591202079784862723304
absolute error = 5.9e-30
relative error = 4.6273765966412588637514701453802e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.992
y[1] (analytic) = 1.2759817959523408312475139493669
y[1] (numeric) = 1.275981795952340831247513949361
absolute error = 5.9e-30
relative error = 4.6238904181203309061395105782237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.993
y[1] (analytic) = 1.2769428206637885006579397911999
y[1] (numeric) = 1.276942820663788500657939791194
absolute error = 5.9e-30
relative error = 4.6204104870827533611529432926380e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.994
y[1] (analytic) = 1.2779035684324385848474843385356
y[1] (numeric) = 1.2779035684324385848474843385297
absolute error = 5.9e-30
relative error = 4.6169367906510598207521161181460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.995
y[1] (analytic) = 1.2788640382975433952283747872595
y[1] (numeric) = 1.2788640382975433952283747872535
absolute error = 6.0e-30
relative error = 4.6916637111692919854463307232138e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.996
y[1] (analytic) = 1.27982422929863314673495351391
y[1] (numeric) = 1.279824229298633146734953513904
absolute error = 6.0e-30
relative error = 4.6881437799377408650788193638333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=1281.7MB, alloc=4.6MB, time=57.21
TOP MAIN SOLVE Loop
x[1] = 4.997
y[1] (analytic) = 1.2807841404755169182933831021907
y[1] (numeric) = 1.2807841404755169182933831021846
absolute error = 6.1e-30
relative error = 4.7627073190766182448974938417232e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.998
y[1] (analytic) = 1.2817437708682836130124874008996
y[1] (numeric) = 1.2817437708682836130124874008935
absolute error = 6.1e-30
relative error = 4.7591415216067056871917409146286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.999
y[1] (analytic) = 1.2827031195173029180947684225171
y[1] (numeric) = 1.282703119517302918094768422511
absolute error = 6.1e-30
relative error = 4.7555821040612309451551794092479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
Finished!
diff ( y , x , 3 ) = sin(x);
Iterations = 4900
Total Elapsed Time = 57 Seconds
Elapsed Time(since restart) = 57 Seconds
Time to Timeout = 2 Minutes 2 Seconds
Percent Done = 100 %
> quit
memory used=1282.6MB, alloc=4.6MB, time=57.24