|\^/| 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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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 diff $eq_no = 1 i = 1 order_d = 1
> array_tmp1[1] := array_y_higher[2,1];
> # emit pre mult FULL FULL $eq_no = 1 i = 1
> array_tmp2[1] := (array_m1[1] * (array_tmp1[1]));
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp3[1] := array_const_0D0[1] + array_tmp2[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_tmp3[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 diff $eq_no = 1 i = 2 order_d = 1
> array_tmp1[2] := array_y_higher[2,2];
> # emit pre mult FULL FULL $eq_no = 1 i = 2
> array_tmp2[2] := ats(2,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp3[2] := array_tmp2[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_tmp3[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 diff $eq_no = 1 i = 3 order_d = 1
> array_tmp1[3] := array_y_higher[2,3];
> # emit pre mult FULL FULL $eq_no = 1 i = 3
> array_tmp2[3] := ats(3,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp3[3] := array_tmp2[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_tmp3[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 diff $eq_no = 1 i = 4 order_d = 1
> array_tmp1[4] := array_y_higher[2,4];
> # emit pre mult FULL FULL $eq_no = 1 i = 4
> array_tmp2[4] := ats(4,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp3[4] := array_tmp2[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_tmp3[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 diff $eq_no = 1 i = 5 order_d = 1
> array_tmp1[5] := array_y_higher[2,5];
> # emit pre mult FULL FULL $eq_no = 1 i = 5
> array_tmp2[5] := ats(5,array_m1,array_tmp1,1);
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp3[5] := array_tmp2[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_tmp3[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 diff $eq_no = 1
> array_tmp1[kkk] := array_y_higher[2,kkk];
> #emit mult FULL FULL $eq_no = 1
> array_tmp2[kkk] := ats(kkk,array_m1,array_tmp1,1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp3[kkk] := array_tmp2[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_tmp3[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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_y_higher[2, 1];
array_tmp2[1] := array_m1[1]*array_tmp1[1];
array_tmp3[1] := array_const_0D0[1] + array_tmp2[1];
if not array_y_set_initial[1, 4] then
if 1 <= glob_max_terms then
temporary := array_tmp3[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_y_higher[2, 2];
array_tmp2[2] := ats(2, array_m1, array_tmp1, 1);
array_tmp3[2] := array_tmp2[2];
if not array_y_set_initial[1, 5] then
if 2 <= glob_max_terms then
temporary := array_tmp3[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] := array_y_higher[2, 3];
array_tmp2[3] := ats(3, array_m1, array_tmp1, 1);
array_tmp3[3] := array_tmp2[3];
if not array_y_set_initial[1, 6] then
if 3 <= glob_max_terms then
temporary := array_tmp3[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] := array_y_higher[2, 4];
array_tmp2[4] := ats(4, array_m1, array_tmp1, 1);
array_tmp3[4] := array_tmp2[4];
if not array_y_set_initial[1, 7] then
if 4 <= glob_max_terms then
temporary := array_tmp3[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] := array_y_higher[2, 5];
array_tmp2[5] := ats(5, array_m1, array_tmp1, 1);
array_tmp3[5] := array_tmp2[5];
if not array_y_set_initial[1, 8] then
if 5 <= glob_max_terms then
temporary := array_tmp3[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_y_higher[2, kkk];
array_tmp2[kkk] := ats(kkk, array_m1, array_tmp1, 1);
array_tmp3[kkk] := array_tmp2[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_tmp3[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( - cos(x));
> end;
exact_soln_y := proc(x) return -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,
> array_const_1,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_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/diff2postode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := -1.0;");
> omniout_str(ALWAYS,"x_end := 1.0 ;");
> 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 := 1000000000;");
> omniout_str(ALWAYS,"glob_display_interval := 0.1;");
> omniout_str(ALWAYS,"glob_max_minutes := 10;");
> 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( - 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:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= 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[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_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_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_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_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #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 := -1.0;
> x_end := 1.0 ;
> 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 := 1000000000;
> glob_display_interval := 0.1;
> glob_max_minutes := 10;
> #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 ) = m1 * diff ( y , x , 1 ) ;");
> 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,"2013-01-28T12:43:08-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"diff2")
> ;
> logitem_str(html_log_file,"diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;")
> ;
> 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,"diff2 diffeq.mxt")
> ;
> logitem_str(html_log_file,"diff2 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_const_1, array_y_init, array_norms, array_fact_1,
array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole,
array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_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/diff2postode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := -1.0;");
omniout_str(ALWAYS, "x_end := 1.0 ;");
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 := 1000000000;");
omniout_str(ALWAYS, "glob_display_interval := 0.1;");
omniout_str(ALWAYS, "glob_max_minutes := 10;");
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( \t\t- cos(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_yp := proc(x)");
omniout_str(ALWAYS, "return(\t\tsin(x));");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "exact_soln_ypp := proc(x)");
omniout_str(ALWAYS, "return(\t\tcos(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 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := 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[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_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_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
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 := -1.0;
x_end := 1.0;
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 := 1000000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
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 ) = m1 * diff ( y , x , 1 ) ;")
;
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, "2013-01-28T12:43:08-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"diff2");
logitem_str(html_log_file,
"diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;");
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,
"diff2 diffeq.mxt");
logitem_str(html_log_file,
"diff2 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/diff2postode.ode#################
diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := -1.0;
x_end := 1.0 ;
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 := 1000000000;
glob_display_interval := 0.1;
glob_max_minutes := 10;
#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( - 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 = 2
estimated_steps = 2000
step_error = 5.0000000000000000000000000000000e-14
est_needed_step_err = 5.0000000000000000000000000000000e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.3397702172421171622915571805648e-105
max_value3 = 1.3397702172421171622915571805648e-105
value3 = 1.3397702172421171622915571805648e-105
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = -1
y[1] (analytic) = -0.54030230586813971740093660744298
y[1] (numeric) = -0.54030230586813971740093660744298
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.999
y[1] (analytic) = -0.54114350656157203531066645059386
y[1] (numeric) = -0.54114350656157203531066645059386
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.998
y[1] (analytic) = -0.5419841661115428869390712710343
y[1] (numeric) = -0.5419841661115428869390712710343
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) = -0.54282428367739279237025960276506
y[1] (numeric) = -0.54282428367739279237025960276506
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.996
y[1] (analytic) = -0.54366385841900425576412083509674
y[1] (numeric) = -0.54366385841900425576412083509674
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.995
y[1] (analytic) = -0.54450288949680260547375104297137
y[1] (numeric) = -0.54450288949680260547375104297137
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.994
y[1] (analytic) = -0.54534137607175683362005466931271
y[1] (numeric) = -0.54534137607175683362005466931271
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.993
y[1] (analytic) = -0.54617931730538043512268248487347
y[1] (numeric) = -0.54617931730538043512268248487348
absolute error = 1e-32
relative error = 1.8309005271997123251325957699038e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=3.8MB, alloc=3.0MB, time=0.35
TOP MAIN SOLVE Loop
x[1] = -0.992
y[1] (analytic) = -0.54701671235973224618646679471148
y[1] (numeric) = -0.54701671235973224618646679471149
absolute error = 1e-32
relative error = 1.8280977114687755718969658900926e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.991
y[1] (analytic) = -0.54785356039741728224251540492934
y[1] (numeric) = -0.54785356039741728224251540492935
absolute error = 1e-32
relative error = 1.8253052864612071404476973904094e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.99
y[1] (analytic) = -0.54868986058158757534312640865361
y[1] (numeric) = -0.54868986058158757534312640865362
absolute error = 1e-32
relative error = 1.8225231990619311821271370478539e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.989
y[1] (analytic) = -0.54952561207594301100968639640836
y[1] (numeric) = -0.54952561207594301100968639640836
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.988
y[1] (analytic) = -0.55036081404473216453271524305467
y[1] (numeric) = -0.55036081404473216453271524305467
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) = -0.55119546565275313672322117132106
y[1] (numeric) = -0.55119546565275313672322117132107
absolute error = 1e-32
relative error = 1.8142384368415479789693951387736e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.986
y[1] (analytic) = -0.55202956606535438911453034063932
y[1] (numeric) = -0.55202956606535438911453034063933
absolute error = 1e-32
relative error = 1.8114971760074363637967484305947e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.985
y[1] (analytic) = -0.55286311444843557861375575952576
y[1] (numeric) = -0.55286311444843557861375575952577
absolute error = 1e-32
relative error = 1.8087659926411458434050701952102e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.984
y[1] (analytic) = -0.55369610996844839160207087010861
y[1] (numeric) = -0.55369610996844839160207087010862
absolute error = 1e-32
relative error = 1.8060448357800158997101014235917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.983
y[1] (analytic) = -0.55452855179239737748295370459744
y[1] (numeric) = -0.55452855179239737748295370459745
absolute error = 1e-32
relative error = 1.8033336548094944550514342946892e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.982
y[1] (analytic) = -0.55536043908784078167756806551989
y[1] (numeric) = -0.5553604390878407816775680655199
absolute error = 1e-32
relative error = 1.8006323994601838077945311914900e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.981
y[1] (analytic) = -0.55619177102289137806644873441393
y[1] (numeric) = -0.55619177102289137806644873441395
absolute error = 2e-32
relative error = 3.5958820396098332507492969073544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.98
y[1] (analytic) = -0.55702254676621730087665826735994
y[1] (numeric) = -0.55702254676621730087665826735996
absolute error = 2e-32
relative error = 3.5905189325117232773273185710517e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.979
y[1] (analytic) = -0.55785276548704287601358349026492
y[1] (numeric) = -0.55785276548704287601358349026494
absolute error = 2e-32
relative error = 3.5851753791233173727097865209547e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.978
y[1] (analytic) = -0.55868242635514945183654036217185
y[1] (numeric) = -0.55868242635514945183654036217186
absolute error = 1e-32
relative error = 1.7899256408045827628021436809745e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=7.6MB, alloc=4.2MB, time=0.78
TOP MAIN SOLVE Loop
x[1] = -0.977
y[1] (analytic) = -0.55951152854087622937735643105834
y[1] (numeric) = -0.55951152854087622937735643105836
absolute error = 2e-32
relative error = 3.5745465427954734548363390886868e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.976
y[1] (analytic) = -0.56034007121512109200110066361155
y[1] (numeric) = -0.56034007121512109200110066361157
absolute error = 2e-32
relative error = 3.5692610661645446766730882997937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.975
y[1] (analytic) = -0.5611680535493414345081309883184
y[1] (numeric) = -0.56116805354934143450813098831842
absolute error = 2e-32
relative error = 3.5639947558492785551395265421550e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.974
y[1] (analytic) = -0.56199547471555499167663044989289
y[1] (numeric) = -0.56199547471555499167663044989291
absolute error = 2e-32
relative error = 3.5587475166277236787145725296284e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.973
y[1] (analytic) = -0.56282233388634066624480343257325
y[1] (numeric) = -0.56282233388634066624480343257326
absolute error = 1e-32
relative error = 1.7767596269588429577907860359642e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.972
y[1] (analytic) = -0.5636486302348393563319039701617
y[1] (numeric) = -0.56364863023483935633190397016171
absolute error = 1e-32
relative error = 1.7741549368856952541314499667518e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.971
y[1] (analytic) = -0.56447436293475478229726872184762
y[1] (numeric) = -0.56447436293475478229726872184763
absolute error = 1e-32
relative error = 1.7715596414350987884968047397766e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.97
y[1] (analytic) = -0.56529953116035431303652775484986
y[1] (numeric) = -0.56529953116035431303652775484987
absolute error = 1e-32
relative error = 1.7689736942596852047933142508645e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.969
y[1] (analytic) = -0.56612413408646979171416683773636
y[1] (numeric) = -0.56612413408646979171416683773637
absolute error = 1e-32
relative error = 1.7663970493214479619069825912346e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.968
y[1] (analytic) = -0.56694817088849836093161551192762
y[1] (numeric) = -0.56694817088849836093161551192763
absolute error = 1e-32
relative error = 1.7638296608891783482384250810092e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.967
y[1] (analytic) = -0.56777164074240328733003577336466
y[1] (numeric) = -0.56777164074240328733003577336467
absolute error = 1e-32
relative error = 1.7612714835359269806823722839970e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.966
y[1] (analytic) = -0.56859454282471478562698676162152
y[1] (numeric) = -0.56859454282471478562698676162153
absolute error = 1e-32
relative error = 1.7587224721364904931053489516757e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.965
y[1] (analytic) = -0.56941687631253084208614141986634
y[1] (numeric) = -0.56941687631253084208614141986635
absolute error = 1e-32
relative error = 1.7561825818649231232703078243025e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.964
y[1] (analytic) = -0.57023864038351803741923165602284
y[1] (numeric) = -0.57023864038351803741923165602285
absolute error = 1e-32
relative error = 1.7536517681920729109942651787821e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.3MB, time=1.21
x[1] = -0.963
y[1] (analytic) = -0.57105983421591236911939910325581
y[1] (numeric) = -0.57105983421591236911939910325581
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.962
y[1] (analytic) = -0.57188045698852007322512914649815
y[1] (numeric) = -0.57188045698852007322512914649816
absolute error = 1e-32
relative error = 1.7486171939952723324908895571614e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.961
y[1] (analytic) = -0.57270050788071844551394645115419
y[1] (numeric) = -0.57270050788071844551394645115419
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.96
y[1] (analytic) = -0.57351998607245666212505080035186
y[1] (numeric) = -0.57351998607245666212505080035186
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.959
y[1] (analytic) = -0.5743388907442565996100726181766
y[1] (numeric) = -0.5743388907442565996100726181766
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.958
y[1] (analytic) = -0.57515722107721365441112812819955
y[1] (numeric) = -0.57515722107721365441112812819955
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.957
y[1] (analytic) = -0.57597497625299756176535466931334
y[1] (numeric) = -0.57597497625299756176535466931334
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.956
y[1] (analytic) = -0.57679215545385321403510726440825
y[1] (numeric) = -0.57679215545385321403510726440825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.955
y[1] (analytic) = -0.57760875786260147846299811176052
y[1] (numeric) = -0.57760875786260147846299811176053
absolute error = 1e-32
relative error = 1.7312756885827460392908796679797e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.954
y[1] (analytic) = -0.57842478266264001435096124416137
y[1] (numeric) = -0.57842478266264001435096124416138
absolute error = 1e-32
relative error = 1.7288332553746044491713238218463e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.953
y[1] (analytic) = -0.57924022903794408966252517679013
y[1] (numeric) = -0.57924022903794408966252517679014
absolute error = 1e-32
relative error = 1.7263994278520550500580812701109e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.952
y[1] (analytic) = -0.58005509617306739704747694162704
y[1] (numeric) = -0.58005509617306739704747694162704
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.951
y[1] (analytic) = -0.58086938325314286928810148380949
y[1] (numeric) = -0.58086938325314286928810148380949
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) = -0.58168308946388349416618097376046
y[1] (numeric) = -0.58168308946388349416618097376045
absolute error = 1e-32
relative error = 1.7191491692180088054618740078576e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.949
y[1] (analytic) = -0.58249621399158312874993916815753
y[1] (numeric) = -0.58249621399158312874993916815752
absolute error = 1e-32
relative error = 1.7167493555837079797647800191361e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=15.2MB, alloc=4.3MB, time=1.64
x[1] = -0.948
y[1] (analytic) = -0.58330875602311731310011653286618
y[1] (numeric) = -0.58330875602311731310011653286618
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.947
y[1] (analytic) = -0.58412071474594408339436242182994
y[1] (numeric) = -0.58412071474594408339436242182993
absolute error = 1e-32
relative error = 1.7119748962077767631677092327008e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.946
y[1] (analytic) = -0.5849320893481047844691311875929
y[1] (numeric) = -0.58493208934810478446913118759289
absolute error = 1e-32
relative error = 1.7096001710463178246484126828327e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.945
y[1] (analytic) = -0.58574287901822488177826968162643
y[1] (numeric) = -0.58574287901822488177826968162642
absolute error = 1e-32
relative error = 1.7072337297145115905166277079109e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.944
y[1] (analytic) = -0.58655308294551477276748418593998
y[1] (numeric) = -0.58655308294551477276748418593997
absolute error = 1e-32
relative error = 1.7048755331371952414171125025530e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.943
y[1] (analytic) = -0.58736270031977059766387540157688
y[1] (numeric) = -0.58736270031977059766387540157687
absolute error = 1e-32
relative error = 1.7025255424894743737389641614597e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.942
y[1] (analytic) = -0.58817173033137504967973070452754
y[1] (numeric) = -0.58817173033137504967973070452753
absolute error = 1e-32
relative error = 1.7001837191947350743756000427159e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.941
y[1] (analytic) = -0.58898017217129818462976346533545
y[1] (numeric) = -0.58898017217129818462976346533544
absolute error = 1e-32
relative error = 1.6978500249226749401627515688467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.94
y[1] (analytic) = -0.58978802503109822996098981522402
y[1] (numeric) = -0.58978802503109822996098981522401
absolute error = 1e-32
relative error = 1.6955244215873528317788450478026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.939
y[1] (analytic) = -0.59059528810292239319443382893499
y[1] (numeric) = -0.59059528810292239319443382893498
absolute error = 1e-32
relative error = 1.6932068713452571545540104432364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.938
y[1] (analytic) = -0.59140196057950766977785268264058
y[1] (numeric) = -0.59140196057950766977785268264057
absolute error = 1e-32
relative error = 1.6908973365933924612579669242815e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.937
y[1] (analytic) = -0.59220804165418165034867393427147
y[1] (numeric) = -0.59220804165418165034867393427146
absolute error = 1e-32
relative error = 1.6885957799673841745237808085262e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.936
y[1] (analytic) = -0.59301353052086332740633766339073
y[1] (numeric) = -0.59301353052086332740633766339072
absolute error = 1e-32
relative error = 1.6863021643396012291145641562708e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.935
y[1] (analytic) = -0.59381842637406390139323679833869
y[1] (numeric) = -0.59381842637406390139323679833868
absolute error = 1e-32
relative error = 1.6840164528172964367541576022749e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.934
y[1] (analytic) = -0.59462272840888758618344954977562
y[1] (numeric) = -0.5946227284088875861834495497756
absolute error = 2e-32
relative error = 3.3634772174815287574425717638432e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=4.3MB, time=2.08
x[1] = -0.933
y[1] (analytic) = -0.59542643582103241397845846195686
y[1] (numeric) = -0.59542643582103241397845846195685
absolute error = 1e-32
relative error = 1.6794685956815166338501460043086e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.932
y[1] (analytic) = -0.59622954780679103960905118608862
y[1] (numeric) = -0.59622954780679103960905118608861
absolute error = 1e-32
relative error = 1.6772063774404741519894336346405e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.931
y[1] (analytic) = -0.59703206356305154424259867393038
y[1] (numeric) = -0.59703206356305154424259867393037
absolute error = 1e-32
relative error = 1.6749519180461765853469710488708e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.93
y[1] (analytic) = -0.59783398228729823849490708443298
y[1] (numeric) = -0.59783398228729823849490708443297
absolute error = 1e-32
relative error = 1.6727051817530083924888988545676e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.929
y[1] (analytic) = -0.59863530317761246494584029162724
y[1] (numeric) = -0.59863530317761246494584029162722
absolute error = 2e-32
relative error = 3.3409322660788830641427066184148e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.928
y[1] (analytic) = -0.59943602543267340005791047820747
y[1] (numeric) = -0.59943602543267340005791047820746
absolute error = 1e-32
relative error = 1.6682347366062945656591823915080e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.927
y[1] (analytic) = -0.60023614825175885549703489628633
y[1] (numeric) = -0.60023614825175885549703489628631
absolute error = 2e-32
relative error = 3.3320219147500159824621178899777e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.926
y[1] (analytic) = -0.60103567083474607885465747463065
y[1] (numeric) = -0.60103567083474607885465747463063
absolute error = 2e-32
relative error = 3.3275895209718712623676436022782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.925
y[1] (analytic) = -0.60183459238211255377043455032378
y[1] (numeric) = -0.60183459238211255377043455032377
absolute error = 1e-32
relative error = 1.6615861112966519008315009804885e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.924
y[1] (analytic) = -0.60263291209493679945468460223509
y[1] (numeric) = -0.60263291209493679945468460223507
absolute error = 2e-32
relative error = 3.3187699507605495710934755804844e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.923
y[1] (analytic) = -0.60343062917489916960980246391359
y[1] (numeric) = -0.60343062917489916960980246391358
absolute error = 1e-32
relative error = 1.6571913185238043568146637151601e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.922
y[1] (analytic) = -0.60422774282428265074983909455821
y[1] (numeric) = -0.6042277428242826507498390945582
absolute error = 1e-32
relative error = 1.6550051067264766595622143135161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.921
y[1] (analytic) = -0.60502425224597365991744858855121
y[1] (numeric) = -0.60502425224597365991744858855119
absolute error = 2e-32
relative error = 3.3056526123962656103795579195981e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.92
y[1] (analytic) = -0.60582015664346284179740470667438
y[1] (numeric) = -0.60582015664346284179740470667436
absolute error = 2e-32
relative error = 3.3013097667152062135349392795197e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.919
y[1] (analytic) = -0.60661545522084586522588981555792
y[1] (numeric) = -0.6066154552208458652258898155579
absolute error = 2e-32
relative error = 3.2969816096622121897311400077020e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=22.8MB, alloc=4.3MB, time=2.51
TOP MAIN SOLVE Loop
x[1] = -0.918
y[1] (analytic) = -0.60741014718282421909475972613934
y[1] (numeric) = -0.60741014718282421909475972613932
absolute error = 2e-32
relative error = 3.2926680749013245089366600909660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.917
y[1] (analytic) = -0.60820423173470600764998852693391
y[1] (numeric) = -0.60820423173470600764998852693389
absolute error = 2e-32
relative error = 3.2883690965050446507452507416739e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.916
y[1] (analytic) = -0.60899770808240674518349811373816
y[1] (numeric) = -0.60899770808240674518349811373814
absolute error = 2e-32
relative error = 3.2840846089512200207970384729399e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.915
y[1] (analytic) = -0.60979057543245015011757772400305
y[1] (numeric) = -0.60979057543245015011757772400303
absolute error = 2e-32
relative error = 3.2798145471199578752757190765713e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.914
y[1] (analytic) = -0.61058283299196893848109939152343
y[1] (numeric) = -0.61058283299196893848109939152341
absolute error = 2e-32
relative error = 3.2755588462905674496802281523594e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.913
y[1] (analytic) = -0.61137447996870561677673584529461
y[1] (numeric) = -0.61137447996870561677673584529458
absolute error = 3e-32
relative error = 4.9069761632077949876462739010090e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.912
y[1] (analytic) = -0.61216551557101327423838798538397
y[1] (numeric) = -0.61216551557101327423838798538394
absolute error = 3e-32
relative error = 4.9006354060987446032711981092810e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.911
y[1] (analytic) = -0.61295593900785637447802967845642
y[1] (numeric) = -0.61295593900785637447802967845639
absolute error = 3e-32
relative error = 4.8943159027969682849485387134965e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.91
y[1] (analytic) = -0.61374574948881154652117822617468
y[1] (numeric) = -0.61374574948881154652117822617464
absolute error = 4e-32
relative error = 6.5173567447621389070714150901352e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.909
y[1] (analytic) = -0.61453494622406837523019947106989
y[1] (numeric) = -0.61453494622406837523019947106985
absolute error = 4e-32
relative error = 6.5089870390243712027588780697540e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.908
y[1] (analytic) = -0.61532352842443019111465711664343
y[1] (numeric) = -0.61532352842443019111465711664339
absolute error = 4e-32
relative error = 6.5006452950730170601302974463344e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.907
y[1] (analytic) = -0.61611149530131485952791645141623
y[1] (numeric) = -0.61611149530131485952791645141619
absolute error = 4e-32
relative error = 6.4923313888888959611900433679588e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.906
y[1] (analytic) = -0.61689884606675556924921328038782
y[1] (numeric) = -0.61689884606675556924921328038778
absolute error = 4e-32
relative error = 6.4840451972042655949837874509520e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.905
y[1] (analytic) = -0.61768557993340162045039948190176
y[1] (numeric) = -0.61768557993340162045039948190172
absolute error = 4e-32
relative error = 6.4757865974971876366327571104002e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.904
y[1] (analytic) = -0.61847169611451921204657722323764
y[1] (numeric) = -0.6184716961145192120465772232376
absolute error = 4e-32
relative error = 6.4675554679859442491588453591516e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=26.7MB, alloc=4.3MB, time=2.95
TOP MAIN SOLVE Loop
x[1] = -0.903
y[1] (analytic) = -0.61925719382399222842983448436099
y[1] (numeric) = -0.61925719382399222842983448436095
absolute error = 4e-32
relative error = 6.4593516876235047764767686309399e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.902
y[1] (analytic) = -0.62004207227632302558529515616121
y[1] (numeric) = -0.62004207227632302558529515616117
absolute error = 4e-32
relative error = 6.4511751360920421022888567619100e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.901
y[1] (analytic) = -0.62082633068663321658869759719283
y[1] (numeric) = -0.6208263306866332165886975971928
absolute error = 3e-32
relative error = 4.8322692703481236169190007339197e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.9
y[1] (analytic) = -0.62160996827066445648471615140713
y[1] (numeric) = -0.6216099682706644564847161514071
absolute error = 3e-32
relative error = 4.8261774313981485390720385869192e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.899
y[1] (analytic) = -0.62239298424477922654524074861785
y[1] (numeric) = -0.62239298424477922654524074861782
absolute error = 3e-32
relative error = 4.8201057465971342689198489971151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.898
y[1] (analytic) = -0.62317537782596161790683032948689
y[1] (numeric) = -0.62317537782596161790683032948686
absolute error = 3e-32
relative error = 4.8140541278539252424068688388742e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.897
y[1] (analytic) = -0.62395714823181811458655645764182
y[1] (numeric) = -0.62395714823181811458655645764179
absolute error = 3e-32
relative error = 4.8080224876042501752601409534548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.896
y[1] (analytic) = -0.62473829468057837587545410314681
y[1] (numeric) = -0.62473829468057837587545410314678
absolute error = 3e-32
relative error = 4.8020107388068248149462112592873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.895
y[1] (analytic) = -0.62551881639109601810879720394146
y[1] (numeric) = -0.62551881639109601810879720394143
absolute error = 3e-32
relative error = 4.7960187949394893126991302910858e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.894
y[1] (analytic) = -0.62629871258284939581241723503701
y[1] (numeric) = -0.62629871258284939581241723503699
absolute error = 2e-32
relative error = 3.1933643799969199050658447967655e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.893
y[1] (analytic) = -0.62707798247594238222428363921666
y[1] (numeric) = -0.62707798247594238222428363921663
absolute error = 3e-32
relative error = 4.7840939784791342189045159533429e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.892
y[1] (analytic) = -0.6278566252911051491905655977243
y[1] (numeric) = -0.62785662529110514919056559772427
absolute error = 3e-32
relative error = 4.7781609354031308470193161138245e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.891
y[1] (analytic) = -0.62863464024969494643539524494522
y[1] (numeric) = -0.62863464024969494643539524494519
absolute error = 3e-32
relative error = 4.7722473562837611875735477812097e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.89
y[1] (analytic) = -0.62941202657369688020355305738025
y[1] (numeric) = -0.62941202657369688020355305738022
absolute error = 3e-32
relative error = 4.7663531571377348671786039543246e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.889
y[1] (analytic) = -0.63018878348572469127529677429298
y[1] (numeric) = -0.63018878348572469127529677429295
absolute error = 3e-32
relative error = 4.7604782544784174134065903044712e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=30.5MB, alloc=4.3MB, time=3.39
TOP MAIN SOLVE Loop
x[1] = -0.888
y[1] (analytic) = -0.6309649102090215323525558352659
y[1] (numeric) = -0.63096491020902153235255583526587
absolute error = 3e-32
relative error = 4.7546225653122001755064381173546e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.887
y[1] (analytic) = -0.63174040596746074481571394853584
y[1] (numeric) = -0.63174040596746074481571394853581
absolute error = 3e-32
relative error = 4.7487860071349021162685127059364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.886
y[1] (analytic) = -0.63251526998554663485020303339089
y[1] (numeric) = -0.63251526998554663485020303339085
absolute error = 4e-32
relative error = 6.3239579972376041990670894161405e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.885
y[1] (analytic) = -0.63328950148841524894213241009944
y[1] (numeric) = -0.6332895014884152489421324100994
absolute error = 4e-32
relative error = 6.3162266082081449330345021143603e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.884
y[1] (analytic) = -0.63406309970183514874217774180693
y[1] (numeric) = -0.6340630997018351487421777418069
absolute error = 3e-32
relative error = 4.7313903007614451704715811683939e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.883
y[1] (analytic) = -0.63483606385220818529695486457581
y[1] (numeric) = -0.63483606385220818529695486457578
absolute error = 3e-32
relative error = 4.7256294511623859986023797046896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.882
y[1] (analytic) = -0.63560839316657027264710427425938
y[1] (numeric) = -0.63560839316657027264710427425935
absolute error = 3e-32
relative error = 4.7198873272490079926249816897128e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.881
y[1] (analytic) = -0.63638008687259216079131267218969
y[1] (numeric) = -0.63638008687259216079131267218966
absolute error = 3e-32
relative error = 4.7141638493798776417798219965526e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.88
y[1] (analytic) = -0.63715114419858020801549860572209
y[1] (numeric) = -0.63715114419858020801549860572206
absolute error = 3e-32
relative error = 4.7084589383786670947016781263549e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.879
y[1] (analytic) = -0.63792156437347715258638987451539
y[1] (numeric) = -0.63792156437347715258638987451535
absolute error = 4e-32
relative error = 6.2703633540410660092542308155579e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.878
y[1] (analytic) = -0.63869134662686288380872100903435
y[1] (numeric) = -0.63869134662686288380872100903431
absolute error = 4e-32
relative error = 6.2628060034401646142688266538942e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.877
y[1] (analytic) = -0.63946049018895521244527976414145
y[1] (numeric) = -0.63946049018895521244527976414141
absolute error = 4e-32
relative error = 6.2552730956341548847078972160655e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.876
y[1] (analytic) = -0.64022899429061064049903220779546
y[1] (numeric) = -0.64022899429061064049903220779542
absolute error = 4e-32
relative error = 6.2477645274908201814095901864384e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.875
y[1] (analytic) = -0.64099685816332513035655662279603
y[1] (numeric) = -0.64099685816332513035655662279599
absolute error = 4e-32
relative error = 6.2402801964761041362999965249265e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.874
memory used=34.3MB, alloc=4.3MB, time=3.83
y[1] (analytic) = -0.64176408103923487329201707820441
y[1] (numeric) = -0.64176408103923487329201707820437
absolute error = 4e-32
relative error = 6.2328200006498277316685073341029e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.873
y[1] (analytic) = -0.64253066215111705733090816653077
y[1] (numeric) = -0.64253066215111705733090816653072
absolute error = 5e-32
relative error = 7.7817297983268040396375852788673e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.872
y[1] (analytic) = -0.6432966007323906344728030430074
y[1] (numeric) = -0.64329660073239063447280304300736
absolute error = 4e-32
relative error = 6.2179716097458245972454681805393e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.871
y[1] (analytic) = -0.64406189601711708727233754426375
y[1] (numeric) = -0.6440618960171170872723375442637
absolute error = 5e-32
relative error = 7.7632290171488675234380262367865e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.87
y[1] (analytic) = -0.64482654724000119477766380548283
y[1] (numeric) = -0.64482654724000119477766380548278
absolute error = 5e-32
relative error = 7.7540231887181052587370355701947e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.869
y[1] (analytic) = -0.64559055363639179782560743764955
y[1] (numeric) = -0.6455905536363917978256074376495
absolute error = 5e-32
relative error = 7.7448469030977951058300354330129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.868
y[1] (analytic) = -0.64635391444228256369276296979723
y[1] (numeric) = -0.64635391444228256369276296979719
absolute error = 4e-32
relative error = 6.1885600297655315265387859976606e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.867
y[1] (analytic) = -0.64711662889431275010176290522087
y[1] (numeric) = -0.64711662889431275010176290522083
absolute error = 4e-32
relative error = 6.1812659749364607995270353083175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.866
y[1] (analytic) = -0.6478786962297679685819563854515
y[1] (numeric) = -0.64787869622976796858195638545146
absolute error = 4e-32
relative error = 6.1739952606520243581606487064597e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.865
y[1] (analytic) = -0.64864011568658094718373410137685
y[1] (numeric) = -0.64864011568658094718373410137681
absolute error = 4e-32
relative error = 6.1667477901301686547851418164149e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.864
y[1] (analytic) = -0.64940088650333229254573673724674
y[1] (numeric) = -0.6494008865033322925457367372467
absolute error = 4e-32
relative error = 6.1595234671418556276719106260013e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.863
y[1] (analytic) = -0.65016100791925125131418488041842
y[1] (numeric) = -0.65016100791925125131418488041838
absolute error = 4e-32
relative error = 6.1523221960071655340480596745694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.862
y[1] (analytic) = -0.6509204791742164709135689775753
y[1] (numeric) = -0.65092047917421647091356897757526
absolute error = 4e-32
relative error = 6.1451438815914327988028008911235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.861
y[1] (analytic) = -0.65167929950875675966793856679259
y[1] (numeric) = -0.65167929950875675966793856679255
absolute error = 4e-32
relative error = 6.1379884293014145533404652512523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.86
y[1] (analytic) = -0.65243746816405184627203066422386
y[1] (numeric) = -0.65243746816405184627203066422382
absolute error = 4e-32
relative error = 6.1308557450814915427142438904032e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=38.1MB, alloc=4.3MB, time=4.26
x[1] = -0.859
y[1] (analytic) = -0.65319498438193313861147783434356
y[1] (numeric) = -0.65319498438193313861147783434352
absolute error = 4e-32
relative error = 6.1237457354099010827925218464635e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.858
y[1] (analytic) = -0.65395184740488448193133712360054
y[1] (numeric) = -0.6539518474048844819313371236005
absolute error = 4e-32
relative error = 6.1166583072950017527817361565880e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.857
y[1] (analytic) = -0.65470805647604291635218168901687
y[1] (numeric) = -0.65470805647604291635218168901683
absolute error = 4e-32
relative error = 6.1095933682715695119567205355837e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.856
y[1] (analytic) = -0.65546361083919943373299760570348
y[1] (numeric) = -0.65546361083919943373299760570343
absolute error = 5e-32
relative error = 7.6281885329964061661651517523229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.855
y[1] (analytic) = -0.6562185097387997338801289904588
y[1] (numeric) = -0.65621850973879973388012899045875
absolute error = 5e-32
relative error = 7.6194132378103640590591312438154e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.854
y[1] (analytic) = -0.65697275241994498010151523256845
y[1] (numeric) = -0.6569727524199449801015152325684
absolute error = 5e-32
relative error = 7.6106657111464786280410420367162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.853
y[1] (analytic) = -0.65772633812839255410546477763153
y[1] (numeric) = -0.65772633812839255410546477763147
absolute error = 6e-32
relative error = 9.1223350080117364996195084037193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.852
y[1] (analytic) = -0.65847926611055681024321056570271
y[1] (numeric) = -0.65847926611055681024321056570266
absolute error = 5e-32
relative error = 7.5932535120407483146792336421549e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.851
y[1] (analytic) = -0.65923153561350982909449288125765
y[1] (numeric) = -0.6592315356135098290944928812576
absolute error = 5e-32
relative error = 7.5845886155109074609816212516969e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.85
y[1] (analytic) = -0.65998314588498217039541602946147
y[1] (numeric) = -0.65998314588498217039541602946141
absolute error = 6e-32
relative error = 9.0911412471821565802221293228952e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.849
y[1] (analytic) = -0.66073409617336362530782591094651
y[1] (numeric) = -0.66073409617336362530782591094645
absolute error = 6e-32
relative error = 9.0808088075807700778779879639856e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.848
y[1] (analytic) = -0.66148438572770396802945622578448
y[1] (numeric) = -0.66148438572770396802945622578442
absolute error = 6e-32
relative error = 9.0705088879752689705199108010706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.847
y[1] (analytic) = -0.66223401379771370674409169656935
y[1] (numeric) = -0.66223401379771370674409169656929
absolute error = 6e-32
relative error = 9.0602413572685540736446307081992e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.846
y[1] (analytic) = -0.66298297963376483391099736051039
y[1] (numeric) = -0.66298297963376483391099736051033
absolute error = 6e-32
relative error = 9.0500060850950208128740491982869e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.845
y[1] (analytic) = -0.66373128248689157589286364116858
y[1] (numeric) = -0.66373128248689157589286364116852
absolute error = 6e-32
relative error = 9.0398029418155344679060790348263e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=41.9MB, alloc=4.3MB, time=4.70
TOP MAIN SOLVE Loop
x[1] = -0.844
y[1] (analytic) = -0.6644789216087911419215175719538
y[1] (numeric) = -0.66447892160879114192151757195374
absolute error = 6e-32
relative error = 9.0296317985124469377302654202258e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.843
y[1] (analytic) = -0.66522589625182447240065120573399
y[1] (numeric) = -0.66522589625182447240065120573393
absolute error = 6e-32
relative error = 9.0194925269846546278626426776853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.842
y[1] (analytic) = -0.66597220566901698654481890789019
y[1] (numeric) = -0.66597220566901698654481890789013
absolute error = 6e-32
relative error = 9.0093849997426970647371788405440e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.841
y[1] (analytic) = -0.66671784911405932935395589388254
y[1] (numeric) = -0.66671784911405932935395589388248
absolute error = 6e-32
relative error = 8.9993090900038958467200066501589e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.84
y[1] (analytic) = -0.66746282584130811792267103687086
y[1] (numeric) = -0.6674628258413081179226710368708
absolute error = 6e-32
relative error = 8.9892646716875335454881757424295e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.839
y[1] (analytic) = -0.6682071351057866870835676361593
y[1] (numeric) = -0.66820713510578668708356763615924
absolute error = 6e-32
relative error = 8.9792516194100721757376157585988e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.838
y[1] (analytic) = -0.66895077616318583438384650320632
y[1] (numeric) = -0.66895077616318583438384650320626
absolute error = 6e-32
relative error = 8.9692698084804108553560912972270e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.837
y[1] (analytic) = -0.6696937482698645643944463886591
y[1] (numeric) = -0.66969374826986456439444638865904
absolute error = 6e-32
relative error = 8.9593191148951822823168638241001e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.836
y[1] (analytic) = -0.67043605068285083235097744133388
y[1] (numeric) = -0.67043605068285083235097744133382
absolute error = 6e-32
relative error = 8.9493994153340876586182490874151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.835
y[1] (analytic) = -0.67117768265984228712570405827083
y[1] (numeric) = -0.67117768265984228712570405827077
absolute error = 6e-32
relative error = 8.9395105871552696956139570507707e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.834
y[1] (analytic) = -0.67191864345920701352983415394244
y[1] (numeric) = -0.67191864345920701352983415394238
absolute error = 6e-32
relative error = 8.9296525083907233390497004215173e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.833
y[1] (analytic) = -0.67265893233998427394537254638808
y[1] (numeric) = -0.67265893233998427394537254638802
absolute error = 6e-32
relative error = 8.9198250577417438560437230099507e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.832
y[1] (analytic) = -0.67339854856188524928579682848309
y[1] (numeric) = -0.67339854856188524928579682848303
absolute error = 6e-32
relative error = 8.9100281145744119301232859901765e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.831
y[1] (analytic) = -0.67413749138529377928481476372833
y[1] (numeric) = -0.67413749138529377928481476372827
absolute error = 6e-32
relative error = 8.9002615589151154142564044829206e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.83
y[1] (analytic) = -0.67487576007126710211246291786445
y[1] (numeric) = -0.67487576007126710211246291786439
absolute error = 6e-32
relative error = 8.8905252714461073955988849908618e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=45.7MB, alloc=4.3MB, time=5.13
TOP MAIN SOLVE Loop
x[1] = -0.829
y[1] (analytic) = -0.67561335388153659331780691027389
y[1] (numeric) = -0.67561335388153659331780691027383
absolute error = 6e-32
relative error = 8.8808191335011002294116029001779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.828
y[1] (analytic) = -0.67635027207850850409750434253192
y[1] (numeric) = -0.67635027207850850409750434253186
absolute error = 6e-32
relative error = 8.8711430270608952032925960475233e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.827
y[1] (analytic) = -0.67708651392526469888949213560539
y[1] (numeric) = -0.67708651392526469888949213560533
absolute error = 6e-32
relative error = 8.8614968347490474965135436365565e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.826
y[1] (analytic) = -0.67782207868556339229106068207321
y[1] (numeric) = -0.67782207868556339229106068207315
absolute error = 6e-32
relative error = 8.8518804398275661028511489839350e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.825
y[1] (analytic) = -0.67855696562383988530057789535586
y[1] (numeric) = -0.6785569656238398853005778953558
absolute error = 6e-32
relative error = 8.8422937261926483888614402519764e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.824
y[1] (analytic) = -0.67929117400520730088212691429132
y[1] (numeric) = -0.67929117400520730088212691429126
absolute error = 6e-32
relative error = 8.8327365783704489630596273557481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.823
y[1] (analytic) = -0.68002470309545731885232189848084
y[1] (numeric) = -0.68002470309545731885232189848078
absolute error = 6e-32
relative error = 8.8232088815128825349404789287213e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.822
y[1] (analytic) = -0.68075755216106091008856702765017
y[1] (numeric) = -0.68075755216106091008856702765011
absolute error = 6e-32
relative error = 8.8137105213934604462047754837634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.821
y[1] (analytic) = -0.6814897204691690700580244968283
y[1] (numeric) = -0.68148972046916907005802449682824
absolute error = 6e-32
relative error = 8.8042413844031605599468103183481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.82
y[1] (analytic) = -0.68222120728761355166655797843693
y[1] (numeric) = -0.68222120728761355166655797843688
absolute error = 5e-32
relative error = 7.3290011312886084974222472773027e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.819
y[1] (analytic) = -0.68295201188490759742691870240827
y[1] (numeric) = -0.68295201188490759742691870240822
absolute error = 5e-32
relative error = 7.3211586070305181759999493179213e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.818
y[1] (analytic) = -0.683682133530246670945441986206
y[1] (numeric) = -0.68368213353024667094544198620595
absolute error = 5e-32
relative error = 7.3133401544108009176715579899255e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.817
y[1] (analytic) = -0.68441157149350918772652272811398
y[1] (numeric) = -0.68441157149350918772652272811393
absolute error = 5e-32
relative error = 7.3055456807796227121055524802352e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.816
y[1] (analytic) = -0.68514032504525724529413905937801
y[1] (numeric) = -0.68514032504525724529413905937796
absolute error = 5e-32
relative error = 7.2977750939849041909335382690143e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.815
y[1] (analytic) = -0.68586839345673735262969403373784
y[1] (numeric) = -0.68586839345673735262969403373779
absolute error = 5e-32
relative error = 7.2900283023690403132200055656696e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=49.5MB, alloc=4.3MB, time=5.57
TOP MAIN SOLVE Loop
x[1] = -0.814
y[1] (analytic) = -0.68659577599988115892544591656855
y[1] (numeric) = -0.6865957759998811589254459165685
absolute error = 5e-32
relative error = 7.2823052147656460924352577938117e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.813
y[1] (analytic) = -0.68732247194730618165279832026176
y[1] (numeric) = -0.68732247194730618165279832026171
absolute error = 5e-32
relative error = 7.2746057404963281244749176139161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.812
y[1] (analytic) = -0.68804848057231653394472211761713
y[1] (numeric) = -0.68804848057231653394472211761709
absolute error = 4e-32
relative error = 5.8135438314939853430439126306438e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.811
y[1] (analytic) = -0.68877380114890365129158175088298
y[1] (numeric) = -0.68877380114890365129158175088294
absolute error = 4e-32
relative error = 5.8074218173336904938528870939839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.81
y[1] (analytic) = -0.6894984329517470175496392406801
y[1] (numeric) = -0.68949843295174701754963924068006
absolute error = 4e-32
relative error = 5.8013184785293499263593399689646e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.809
y[1] (analytic) = -0.69022237525621489026150988636545
y[1] (numeric) = -0.69022237525621489026150988636541
absolute error = 4e-32
relative error = 5.7952337440744004020764734427682e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.808
y[1] (analytic) = -0.69094562733836502528784433744029
y[1] (numeric) = -0.69094562733836502528784433744025
absolute error = 4e-32
relative error = 5.7891675433400610809599530948271e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.807
y[1] (analytic) = -0.69166818847494540074951240438124
y[1] (numeric) = -0.69166818847494540074951240438119
absolute error = 5e-32
relative error = 7.2288997575910883263765883650134e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.806
y[1] (analytic) = -0.69239005794339494027956466677061
y[1] (numeric) = -0.69239005794339494027956466677056
absolute error = 5e-32
relative error = 7.2213630779903048352155685084775e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.805
y[1] (analytic) = -0.69311123502184423558424862682483
y[1] (numeric) = -0.69311123502184423558424862682479
absolute error = 4e-32
relative error = 5.7710794427880471178285309483133e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.804
y[1] (analytic) = -0.69383171898911626831235684736494
y[1] (numeric) = -0.6938317189891162683123568473649
absolute error = 4e-32
relative error = 5.7650866781181931761188974689848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.803
y[1] (analytic) = -0.69455150912472713123218520494112
y[1] (numeric) = -0.69455150912472713123218520494108
absolute error = 4e-32
relative error = 5.7591120996062546447819250298036e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.802
y[1] (analytic) = -0.69527060470888674871538008121325
y[1] (numeric) = -0.69527060470888674871538008121321
absolute error = 4e-32
relative error = 5.7531556388390961000988871409214e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.801
y[1] (analytic) = -0.69598900502249959652695400880021
y[1] (numeric) = -0.69598900502249959652695400880017
absolute error = 4e-32
relative error = 5.7472172277645247157640644813737e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.8
y[1] (analytic) = -0.69670670934716542092074998164232
y[1] (numeric) = -0.69670670934716542092074998164229
absolute error = 3e-32
relative error = 4.3059725990167194014908572244886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=53.4MB, alloc=4.3MB, time=6.01
TOP MAIN SOLVE Loop
x[1] = -0.799
y[1] (analytic) = -0.69742371696517995703963533447258
y[1] (numeric) = -0.69742371696517995703963533447254
absolute error = 4e-32
relative error = 5.7353942842751168947887809260109e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.798
y[1] (analytic) = -0.6981400271595356466197067912625
y[1] (numeric) = -0.69814002715953564661970679126246
absolute error = 4e-32
relative error = 5.7295096175397188311507198612762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.797
y[1] (analytic) = -0.69885563921392235499778897849759
y[1] (numeric) = -0.69885563921392235499778897849755
absolute error = 4e-32
relative error = 5.7236427318512126474183177879612e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.796
y[1] (analytic) = -0.69957055241272808742150939584346
y[1] (numeric) = -0.69957055241272808742150939584343
absolute error = 3e-32
relative error = 4.2883451706956348549896142354795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.795
y[1] (analytic) = -0.70028476604103970466123353418745
y[1] (numeric) = -0.70028476604103970466123353418742
absolute error = 3e-32
relative error = 4.2839715291253202467459699724589e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.794
y[1] (analytic) = -0.70099827938464363792314452918013
y[1] (numeric) = -0.7009982793846436379231445291801
absolute error = 3e-32
relative error = 4.2796110749850711505406748096469e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.793
y[1] (analytic) = -0.70171109173002660306275243725682
y[1] (numeric) = -0.70171109173002660306275243725679
absolute error = 3e-32
relative error = 4.2752637593395879794808998438727e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.792
y[1] (analytic) = -0.7024232023643763140981189206891
y[1] (numeric) = -0.70242320236437631409811892068907
absolute error = 3e-32
relative error = 4.2709295335090232950579323401102e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.791
y[1] (analytic) = -0.70313461057558219602208382850135
y[1] (numeric) = -0.70313461057558219602208382850133
absolute error = 2e-32
relative error = 2.8444055660449011291286563305203e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.79
y[1] (analytic) = -0.70384531565223609691278086108495
y[1] (numeric) = -0.70384531565223609691278086108493
absolute error = 2e-32
relative error = 2.8415334385605014942610583502002e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.789
y[1] (analytic) = -0.70455531688363299934173020805386
y[1] (numeric) = -0.70455531688363299934173020805384
absolute error = 2e-32
relative error = 2.8386699412706688961435438277752e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.788
y[1] (analytic) = -0.70526461355977173107879675130834
y[1] (numeric) = -0.70526461355977173107879675130832
absolute error = 2e-32
relative error = 2.8358150423925932956182598894706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.787
y[1] (analytic) = -0.70597320497135567509330312840764
y[1] (numeric) = -0.70597320497135567509330312840762
absolute error = 2e-32
relative error = 2.8329687103084152835355560757633e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.786
y[1] (analytic) = -0.70668109040979347885058765519795
y[1] (numeric) = -0.70668109040979347885058765519793
absolute error = 2e-32
relative error = 2.8301309135641804244796513657401e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=4.3MB, time=6.45
x[1] = -0.785
y[1] (analytic) = -0.70738826916719976290329781119664
y[1] (numeric) = -0.70738826916719976290329781119662
absolute error = 2e-32
relative error = 2.8273016208688015991605690222036e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.784
y[1] (analytic) = -0.7080947405363958287767106964985
y[1] (numeric) = -0.70809474053639582877671069649848
absolute error = 2e-32
relative error = 2.8244808010930292743507695129790e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.783
y[1] (analytic) = -0.70880050381091036614737257494236
y[1] (numeric) = -0.70880050381091036614737257494234
absolute error = 2e-32
relative error = 2.8216684232684296299672889359495e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.782
y[1] (analytic) = -0.70950555828498015931435032495762
y[1] (numeric) = -0.7095055582849801593143503249576
absolute error = 2e-32
relative error = 2.8188644565863704736143259180178e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.781
y[1] (analytic) = -0.71020990325355079296238832689801
y[1] (numeric) = -0.71020990325355079296238832689799
absolute error = 2e-32
relative error = 2.8160688703970148736072182251029e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.78
y[1] (analytic) = -0.71091353801227735721626502376456
y[1] (numeric) = -0.71091353801227735721626502376455
absolute error = 1e-32
relative error = 1.4066408171041612210983571067735e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.779
y[1] (analytic) = -0.71161646185752515198564410101998
y[1] (numeric) = -0.71161646185752515198564410101997
absolute error = 1e-32
relative error = 1.4052513588425291007012376227281e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.778
y[1] (analytic) = -0.71231867408637039059971594070188
y[1] (numeric) = -0.71231867408637039059971594070187
absolute error = 1e-32
relative error = 1.4038660453239044822734716730906e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.777
y[1] (analytic) = -0.71302017399660090273092571525215
y[1] (numeric) = -0.71302017399660090273092571525214
absolute error = 1e-32
relative error = 1.4024848615360035836275861896729e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.776
y[1] (analytic) = -0.71372096088671683660708519739286
y[1] (numeric) = -0.71372096088671683660708519739285
absolute error = 1e-32
relative error = 1.4011077925434810411765240829372e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.775
y[1] (analytic) = -0.71442103405593136051116607399548
y[1] (numeric) = -0.71442103405593136051116607399547
absolute error = 1e-32
relative error = 1.3997348234874491768778046227703e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.774
y[1] (analytic) = -0.71512039280417136356807326420846
y[1] (numeric) = -0.71512039280417136356807326420845
absolute error = 1e-32
relative error = 1.3983659395850008925445100075237e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.773
y[1] (analytic) = -0.71581903643207815581769745512838
y[1] (numeric) = -0.71581903643207815581769745512837
absolute error = 1e-32
relative error = 1.3970011261287361597171175564835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.772
y[1] (analytic) = -0.71651696424100816757354678202036
y[1] (numeric) = -0.71651696424100816757354678202035
absolute error = 1e-32
relative error = 1.3956403684862920736088101055900e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.771
y[1] (analytic) = -0.71721417553303364806625829451439
y[1] (numeric) = -0.71721417553303364806625829451438
absolute error = 1e-32
relative error = 1.3942836520998764399519253004247e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.3MB, time=6.89
x[1] = -0.77
y[1] (analytic) = -0.71791066961094336337129056532434
y[1] (numeric) = -0.71791066961094336337129056532433
absolute error = 1e-32
relative error = 1.3929309624858048638846923337441e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.769
y[1] (analytic) = -0.71860644577824329362009951385514
y[1] (numeric) = -0.71860644577824329362009951385513
absolute error = 1e-32
relative error = 1.3915822852340413103253964225039e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.768
y[1] (analytic) = -0.71930150333915732949410023358049
y[1] (numeric) = -0.71930150333915732949410023358048
absolute error = 1e-32
relative error = 1.3902376060077421055856505116853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.767
y[1] (analytic) = -0.71999584159862796800071832928725
y[1] (numeric) = -0.71999584159862796800071832928724
absolute error = 1e-32
relative error = 1.3888969105428033502755832836444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.766
y[1] (analytic) = -0.72068945986231700753083498819317
y[1] (numeric) = -0.72068945986231700753083498819316
absolute error = 1e-32
relative error = 1.3875601846474117138515149093921e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.765
y[1] (analytic) = -0.72138235743660624219693072755086
y[1] (numeric) = -0.72138235743660624219693072755085
absolute error = 1e-32
relative error = 1.3862274142015985814511288910417e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.764
y[1] (analytic) = -0.72207453362859815545123348065203
y[1] (numeric) = -0.72207453362859815545123348065201
absolute error = 2e-32
relative error = 2.7697971703135950479046020635785e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.763
y[1] (analytic) = -0.72276598774611661298317740314174
y[1] (numeric) = -0.72276598774611661298317740314172
absolute error = 2e-32
relative error = 2.7671473670708101249593113780586e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.762
y[1] (analytic) = -0.72345671909770755489547950224168
y[1] (numeric) = -0.72345671909770755489547950224166
absolute error = 2e-32
relative error = 2.7645053908606893977352502449302e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.761
y[1] (analytic) = -0.72414672699263968715814191286342
y[1] (numeric) = -0.7241467269926396871581419128634
absolute error = 2e-32
relative error = 2.7618712140092683677406590049004e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.76
y[1] (analytic) = -0.72483601074090517233968836666701
y[1] (numeric) = -0.72483601074090517233968836666699
absolute error = 2e-32
relative error = 2.7592448089819119903740240354306e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.759
y[1] (analytic) = -0.72552456965322031961494412288604
y[1] (numeric) = -0.72552456965322031961494412288602
absolute error = 2e-32
relative error = 2.7566261483824619952941880214766e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.758
y[1] (analytic) = -0.72621240304102627404866935319676
y[1] (numeric) = -0.72621240304102627404866935319674
absolute error = 2e-32
relative error = 2.7540152049523905163423942939769e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.757
y[1] (analytic) = -0.72689951021648970515435669705521
y[1] (numeric) = -0.72689951021648970515435669705519
absolute error = 2e-32
relative error = 2.7514119515699599767875015030357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.756
y[1] (analytic) = -0.72758589049250349472750442876228
y[1] (numeric) = -0.72758589049250349472750442876227
absolute error = 1e-32
relative error = 1.3744081806246945880990995775725e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=64.8MB, alloc=4.3MB, time=7.33
TOP MAIN SOLVE Loop
x[1] = -0.755
y[1] (analytic) = -0.72827154318268742395267740304088
y[1] (numeric) = -0.72827154318268742395267740304087
absolute error = 1e-32
relative error = 1.3731142035700127628863868634444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.754
y[1] (analytic) = -0.72895646760138885978366867212136
y[1] (numeric) = -0.72895646760138885978366867212135
absolute error = 1e-32
relative error = 1.3718240312627616897389455511273e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.753
y[1] (analytic) = -0.72964066306368344059607539423096
y[1] (numeric) = -0.72964066306368344059607539423096
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.752
y[1] (analytic) = -0.73032412888537576111160338096846
y[1] (numeric) = -0.73032412888537576111160338096846
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.751
y[1] (analytic) = -0.73100686438300005659341535931644
y[1] (numeric) = -0.73100686438300005659341535931644
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.75
y[1] (analytic) = -0.73168886887382088631183875300008
y[1] (numeric) = -0.73168886887382088631183875300008
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.749
y[1] (analytic) = -0.73237014167583381627974951754159
y[1] (numeric) = -0.73237014167583381627974951754158
absolute error = 1e-32
relative error = 1.3654297780515281578600353653620e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.748
y[1] (analytic) = -0.73305068210776610125694929368327
y[1] (numeric) = -0.73305068210776610125694929368326
absolute error = 1e-32
relative error = 1.3641621574168176857557590040692e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.747
y[1] (analytic) = -0.73373048948907736602285387485905
y[1] (numeric) = -0.73373048948907736602285387485904
absolute error = 1e-32
relative error = 1.3628982498687434451112711006440e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.746
y[1] (analytic) = -0.73440956313996028591681171608261
y[1] (numeric) = -0.73440956313996028591681171608259
absolute error = 2e-32
relative error = 2.7232760851438552148766754786112e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.745
y[1] (analytic) = -0.73508790238134126664537194399042
y[1] (numeric) = -0.73508790238134126664537194399041
absolute error = 1e-32
relative error = 1.3603815227545812432535559719891e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.744
y[1] (analytic) = -0.73576550653488112335582206082836
y[1] (numeric) = -0.73576550653488112335582206082835
absolute error = 1e-32
relative error = 1.3591286777081225741538994684563e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.743
y[1] (analytic) = -0.73644237492297575897531626890064
y[1] (numeric) = -0.73644237492297575897531626890063
absolute error = 1e-32
relative error = 1.3578794947867979996247963122112e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.742
y[1] (analytic) = -0.73711850686875684181491607640942
y[1] (numeric) = -0.73711850686875684181491607640941
absolute error = 1e-32
relative error = 1.3566339614073058751680970666261e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.741
y[1] (analytic) = -0.73779390169609248243786558070087
y[1] (numeric) = -0.73779390169609248243786558070086
absolute error = 1e-32
relative error = 1.3553920650484230185630908829954e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=68.6MB, alloc=4.3MB, time=7.76
TOP MAIN SOLVE Loop
x[1] = -0.74
y[1] (analytic) = -0.73846855872958790979142456069883
y[1] (numeric) = -0.73846855872958790979142456069882
absolute error = 1e-32
relative error = 1.3541537932506339212970812949552e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.739
y[1] (analytic) = -0.73914247729458614660158324674932
y[1] (numeric) = -0.7391424772945861466015832467493
absolute error = 2e-32
relative error = 2.7058382672315252848459416933983e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.738
y[1] (analytic) = -0.73981565671716868402998337321739
y[1] (numeric) = -0.73981565671716868402998337321738
absolute error = 1e-32
relative error = 1.3516880738066073623198538521736e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.737
y[1] (analytic) = -0.74048809632415615559237085697158
y[1] (numeric) = -0.74048809632415615559237085697157
absolute error = 1e-32
relative error = 1.3504606015465775740488080126309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.736
y[1] (analytic) = -0.74115979544310901033790618335927
y[1] (numeric) = -0.74115979544310901033790618335925
absolute error = 2e-32
relative error = 2.6984734092386677804198731738908e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.735
y[1] (analytic) = -0.74183075340232818528865932041883
y[1] (numeric) = -0.74183075340232818528865932041881
absolute error = 2e-32
relative error = 2.6960327417368608868365423949267e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.734
y[1] (analytic) = -0.74250096953085577713861672188964
y[1] (numeric) = -0.74250096953085577713861672188962
absolute error = 2e-32
relative error = 2.6935991763939197174508573636631e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.733
y[1] (analytic) = -0.74317044315847571321152872006884
y[1] (numeric) = -0.74317044315847571321152872006882
absolute error = 2e-32
relative error = 2.6911726891344015530419016497896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.732
y[1] (analytic) = -0.74383917361571442167692635072351
y[1] (numeric) = -0.74383917361571442167692635072349
absolute error = 2e-32
relative error = 2.6887532560005358093041402498227e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.731
y[1] (analytic) = -0.74450716023384150102363739409716
y[1] (numeric) = -0.74450716023384150102363739409714
absolute error = 2e-32
relative error = 2.6863408531515291574065288290331e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.73
y[1] (analytic) = -0.74517440234487038879013215855033
y[1] (numeric) = -0.74517440234487038879013215855032
absolute error = 1e-32
relative error = 1.3419677284314378095774142725353e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.729
y[1] (analytic) = -0.74584089928155902955103027654531
y[1] (numeric) = -0.7458408992815590295510302765453
absolute error = 1e-32
relative error = 1.3407685217628357977186854902920e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.728
y[1] (analytic) = -0.74650665037741054215910052652369
y[1] (numeric) = -0.74650665037741054215910052652368
absolute error = 1e-32
relative error = 1.3395727948229678935134498216290e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.727
y[1] (analytic) = -0.7471716549666738862420864387327
y[1] (numeric) = -0.74717165496667388624208643873269
absolute error = 1e-32
relative error = 1.3383805359219669835996559441072e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.726
y[1] (analytic) = -0.74783591238434452795369118823017
y[1] (numeric) = -0.74783591238434452795369118823016
absolute error = 1e-32
relative error = 1.3371917334267542830070937577669e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=72.4MB, alloc=4.3MB, time=8.20
TOP MAIN SOLVE Loop
x[1] = -0.725
y[1] (analytic) = -0.7484994219661651049780560241387
y[1] (numeric) = -0.74849942196616510497805602413869
absolute error = 1e-32
relative error = 1.3360063757607065132409832931862e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.724
y[1] (analytic) = -0.74916218304862609078706723072606
y[1] (numeric) = -0.74916218304862609078706723072605
absolute error = 1e-32
relative error = 1.3348244514033254466092887206807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.723
y[1] (analytic) = -0.74982419496896645814982736306022
y[1] (numeric) = -0.74982419496896645814982736306022
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.722
y[1] (analytic) = -0.75048545706517434189362724782304
y[1] (numeric) = -0.75048545706517434189362724782304
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.721
y[1] (analytic) = -0.75114596867598770091575598836582
y[1] (numeric) = -0.75114596867598770091575598836581
absolute error = 1e-32
relative error = 1.3312991638132019355029610069284e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.72
y[1] (analytic) = -0.75180572914089497944548696225195
y[1] (numeric) = -0.75180572914089497944548696225194
absolute error = 1e-32
relative error = 1.3301308585965713491100945769746e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.719
y[1] (analytic) = -0.75246473780013576755557854935575
y[1] (numeric) = -0.75246473780013576755557854935574
absolute error = 1e-32
relative error = 1.3289659299165893346188481696710e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.718
y[1] (analytic) = -0.75312299399470146092262907907173
y[1] (numeric) = -0.75312299399470146092262907907172
absolute error = 1e-32
relative error = 1.3278043665826984739805224579887e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.717
y[1] (analytic) = -0.75378049706633591983562623633442
y[1] (numeric) = -0.75378049706633591983562623633441
absolute error = 1e-32
relative error = 1.3266461574582178488608601920212e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.716
y[1] (analytic) = -0.75443724635753612745203191795418
y[1] (numeric) = -0.75443724635753612745203191795416
absolute error = 2e-32
relative error = 2.6509825829200616552804394068176e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.715
y[1] (analytic) = -0.75509324121155284730074428323906
y[1] (numeric) = -0.75509324121155284730074428323905
absolute error = 1e-32
relative error = 1.3243397575582750494981182512237e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.714
y[1] (analytic) = -0.75574848097239128003127949599547
y[1] (numeric) = -0.75574848097239128003127949599546
absolute error = 1e-32
relative error = 1.3231915447760345876562869823550e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.713
y[1] (analytic) = -0.75640296498481171940851640878051
y[1] (numeric) = -0.7564029649848117194085164087805
absolute error = 1e-32
relative error = 1.3220466421890342740216463339287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.712
y[1] (analytic) = -0.7570566925943302075523481947161
y[1] (numeric) = -0.75705669259433020755234819471609
absolute error = 1e-32
relative error = 1.3209050389253361676361251744967e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.711
y[1] (analytic) = -0.7577096631472191894215856872678
y[1] (numeric) = -0.75770966314721918942158568726779
absolute error = 1e-32
relative error = 1.3197667241650381495040292498364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=76.2MB, alloc=4.3MB, time=8.64
TOP MAIN SOLVE Loop
x[1] = -0.71
y[1] (analytic) = -0.75836187599050816654145794413955
y[1] (numeric) = -0.75836187599050816654145794413954
absolute error = 1e-32
relative error = 1.3186316871399746265297346929438e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.709
y[1] (analytic) = -0.75901333047198434997405630783822
y[1] (numeric) = -0.7590133304719843499740563078382
absolute error = 2e-32
relative error = 2.6349998342668386549177206880548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.708
y[1] (analytic) = -0.7596640259401933125310689925183
y[1] (numeric) = -0.75966402594019331253106899251828
absolute error = 2e-32
relative error = 2.6327428069595803477495560391548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.707
y[1] (analytic) = -0.76031396174443964022815398442661
y[1] (numeric) = -0.76031396174443964022815398442659
absolute error = 2e-32
relative error = 2.6304922711287124189187440693795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.706
y[1] (analytic) = -0.76096313723478758298029880162827
y[1] (numeric) = -0.76096313723478758298029880162825
absolute error = 2e-32
relative error = 2.6282482056458931417647546764652e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.705
y[1] (analytic) = -0.76161155176206170453751641770848
y[1] (numeric) = -0.76161155176206170453751641770845
absolute error = 3e-32
relative error = 3.9390158842249844515122853252545e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.704
y[1] (analytic) = -0.7622592046778475316602274138083
y[1] (numeric) = -0.76225920467784753166022741380827
absolute error = 3e-32
relative error = 3.9356691025697558036854726387850e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.703
y[1] (analytic) = -0.7629060953344922025336791836665
y[1] (numeric) = -0.76290609533449220253367918366647
absolute error = 3e-32
relative error = 3.9323319322605040019829248883277e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.702
y[1] (analytic) = -0.76355222308510511442075377730208
y[1] (numeric) = -0.76355222308510511442075377730205
absolute error = 3e-32
relative error = 3.9290043422028274756226987483300e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.701
y[1] (analytic) = -0.76419758728355857055251673058384
y[1] (numeric) = -0.76419758728355857055251673058381
absolute error = 3e-32
relative error = 3.9256863014497296546989991629641e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.7
y[1] (analytic) = -0.76484218728448842625585999019186
y[1] (numeric) = -0.76484218728448842625585999019184
absolute error = 2e-32
relative error = 2.6149185194671877397493456706106e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.699
y[1] (analytic) = -0.76548602244329473431759280638201
y[1] (numeric) = -0.76548602244329473431759280638199
absolute error = 2e-32
relative error = 2.6127191632008603191743078293746e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.698
y[1] (analytic) = -0.76612909211614238958433522951618
y[1] (numeric) = -0.76612909211614238958433522951615
absolute error = 3e-32
relative error = 3.9157891677414736379049419457942e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.697
y[1] (analytic) = -0.76677139565996177279756961051859
y[1] (numeric) = -0.76677139565996177279756961051856
absolute error = 3e-32
relative error = 3.9125090176556385656790277016540e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.696
y[1] (analytic) = -0.76741293243244939366320627026033
y[1] (numeric) = -0.7674129324324493936632062702603
absolute error = 3e-32
relative error = 3.9092382643213683593609540153350e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=80.1MB, alloc=4.3MB, time=9.08
TOP MAIN SOLVE Loop
x[1] = -0.695
y[1] (analytic) = -0.76805370179206853315502026835991
y[1] (numeric) = -0.76805370179206853315502026835988
absolute error = 3e-32
relative error = 3.9059768776587128560369208476327e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.694
y[1] (analytic) = -0.76869370309804988505131696801677
y[1] (numeric) = -0.76869370309804988505131696801674
absolute error = 3e-32
relative error = 3.9027248277293853144185479995245e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.693
y[1] (analytic) = -0.7693329357103921967041848602655
y[1] (numeric) = -0.76933293571039219670418486026547
absolute error = 3e-32
relative error = 3.8994820847359646130524800311685e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.692
y[1] (analytic) = -0.76997139898986290904069487845139
y[1] (numeric) = -0.76997139898986290904069487845136
absolute error = 3e-32
relative error = 3.8962486190211029210593884504322e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.691
y[1] (analytic) = -0.77060909229799879579540620178138
y[1] (numeric) = -0.77060909229799879579540620178135
absolute error = 3e-32
relative error = 3.8930244010667387979377478864992e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.69
y[1] (analytic) = -0.77124601499710660197353931549777
y[1] (numeric) = -0.77124601499710660197353931549774
absolute error = 3e-32
relative error = 3.8898094014933156793628152178482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.689
y[1] (analytic) = -0.77188216645026368154417786455494
y[1] (numeric) = -0.77188216645026368154417786455491
absolute error = 3e-32
relative error = 3.8866035910590057063022618920390e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.688
y[1] (analytic) = -0.77251754602131863436286160765029
y[1] (numeric) = -0.77251754602131863436286160765027
absolute error = 2e-32
relative error = 2.5889379604392925701046304157953e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.687
y[1] (analytic) = -0.77315215307489194232293354906961
y[1] (numeric) = -0.77315215307489194232293354906959
absolute error = 2e-32
relative error = 2.5868129475496248846789355899051e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.686
y[1] (analytic) = -0.77378598697637660473500509705261
y[1] (numeric) = -0.77378598697637660473500509705259
absolute error = 2e-32
relative error = 2.5846940028148367696758984306796e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.685
y[1] (analytic) = -0.77441904709193877293390386926657
y[1] (numeric) = -0.77441904709193877293390386926655
absolute error = 2e-32
relative error = 2.5825811071025486567231974471475e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.684
y[1] (analytic) = -0.77505133278851838411246953849312
y[1] (numeric) = -0.7750513327885183841124695384931
absolute error = 2e-32
relative error = 2.5804742413696653332780038338965e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.683
y[1] (analytic) = -0.77568284343382979438156388478507
y[1] (numeric) = -0.77568284343382979438156388478504
absolute error = 3e-32
relative error = 3.8675600799928189281071549937302e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.682
y[1] (analytic) = -0.77631357839636241105566199413604
y[1] (numeric) = -0.77631357839636241105566199413601
absolute error = 3e-32
relative error = 3.8644177861697661160157730060943e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.681
y[1] (analytic) = -0.77694353704538132416339231812446
y[1] (numeric) = -0.77694353704538132416339231812443
absolute error = 3e-32
relative error = 3.8612844524180266121162814090780e-30 %
Correct digits = 31
h = 0.001
memory used=83.9MB, alloc=4.3MB, time=9.53
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.68
y[1] (analytic) = -0.77757271875092793718239408404432
y[1] (numeric) = -0.77757271875092793718239408404429
absolute error = 3e-32
relative error = 3.8581600507012642280067478929050e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.679
y[1] (analytic) = -0.77820112288382059699786132071801
y[1] (numeric) = -0.77820112288382059699786132071798
absolute error = 3e-32
relative error = 3.8550445531133945366040812979950e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.678
y[1] (analytic) = -0.77882874881565522308414354149961
y[1] (numeric) = -0.77882874881565522308414354149958
absolute error = 3e-32
relative error = 3.8519379318778647688899713084837e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.677
y[1] (analytic) = -0.77945559591880593590877390292041
y[1] (numeric) = -0.77945559591880593590877390292037
absolute error = 4e-32
relative error = 5.1317868791292514278985734457875e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.676
y[1] (analytic) = -0.78008166356642568455829643500084
y[1] (numeric) = -0.78008166356642568455829643500081
absolute error = 3e-32
relative error = 3.8457512080009855831813678705139e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.675
y[1] (analytic) = -0.78070695113244687358526471745402
y[1] (numeric) = -0.78070695113244687358526471745398
absolute error = 4e-32
relative error = 5.1235614005970344061516915382928e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.674
y[1] (analytic) = -0.78133145799158198907578515483418
y[1] (numeric) = -0.78133145799158198907578515483415
absolute error = 3e-32
relative error = 3.8395996594217787041637636610821e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.673
y[1] (analytic) = -0.78195518351932422393697878313928
y[1] (numeric) = -0.78195518351932422393697878313925
absolute error = 3e-32
relative error = 3.8365370077834670428002678111667e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.672
y[1] (analytic) = -0.78257812709194810240373632045772
y[1] (numeric) = -0.78257812709194810240373632045769
absolute error = 3e-32
relative error = 3.8334830685186253694678845745553e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.671
y[1] (analytic) = -0.78320028808651010376414195495638
y[1] (numeric) = -0.78320028808651010376414195495635
absolute error = 3e-32
relative error = 3.8304378147376631546705350578442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.67
y[1] (analytic) = -0.78382166588084928530294214483812
y[1] (numeric) = -0.78382166588084928530294214483809
absolute error = 3e-32
relative error = 3.8274012196749325257317640201251e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.669
y[1] (analytic) = -0.78444225985358790446243648685181
y[1] (numeric) = -0.78444225985358790446243648685178
absolute error = 3e-32
relative error = 3.8243732566880505680934550474062e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.668
y[1] (analytic) = -0.78506206938413204022016849251592
y[1] (numeric) = -0.78506206938413204022016849251589
absolute error = 3e-32
relative error = 3.8213538992572261573307848911929e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.667
y[1] (analytic) = -0.78568109385267221368279489441666
y[1] (numeric) = -0.78568109385267221368279489441663
absolute error = 3e-32
relative error = 3.8183431209845912868741982319552e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=87.7MB, alloc=4.4MB, time=9.97
x[1] = -0.666
y[1] (analytic) = -0.78629933264018400789551288876302
y[1] (numeric) = -0.78629933264018400789551288876299
absolute error = 3e-32
relative error = 3.8153408955935368567390236377843e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.665
y[1] (analytic) = -0.78691678512842868686642550482327
y[1] (numeric) = -0.78691678512842868686642550482324
absolute error = 3e-32
relative error = 3.8123471969280528888701136121832e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.664
y[1] (analytic) = -0.78753345069995381380522607692892
y[1] (numeric) = -0.7875334506999538138052260769289
absolute error = 2e-32
relative error = 2.5395746659680487566750735365588e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.663
y[1] (analytic) = -0.78814932873809386857558358041344
y[1] (numeric) = -0.78814932873809386857558358041342
absolute error = 2e-32
relative error = 2.5375901838325493622137648175605e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.662
y[1] (analytic) = -0.78876441862697086436061137915158
y[1] (numeric) = -0.78876441862697086436061137915156
absolute error = 2e-32
relative error = 2.5356113343467853668090195248615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.661
y[1] (analytic) = -0.7893787197514949635408027192822
y[1] (numeric) = -0.78937871975149496354080271928218
absolute error = 2e-32
relative error = 2.5336381003906741095224809324396e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.66
y[1] (analytic) = -0.78999223149736509278381709123024
y[1] (numeric) = -0.78999223149736509278381709123022
absolute error = 2e-32
relative error = 2.5316704649223765395685680354113e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.659
y[1] (analytic) = -0.79060495325106955734550237029284
y[1] (numeric) = -0.79060495325106955734550237029282
absolute error = 2e-32
relative error = 2.5297084109778745960406231305611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.658
y[1] (analytic) = -0.79121688439988665458153843481859
y[1] (numeric) = -0.79121688439988665458153843481857
absolute error = 2e-32
relative error = 2.5277519216705513837734385615939e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.657
y[1] (analytic) = -0.79182802433188528666908875038748
y[1] (numeric) = -0.79182802433188528666908875038746
absolute error = 2e-32
relative error = 2.5258009801907741239786173237772e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.656
y[1] (analytic) = -0.79243837243592557253784719839097
y[1] (numeric) = -0.79243837243592557253784719839095
absolute error = 2e-32
relative error = 2.5238555698054798584762521022845e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.655
y[1] (analytic) = -0.7930479281016594590098682180164
y[1] (numeric) = -0.79304792810165945900986821801638
absolute error = 2e-32
relative error = 2.5219156738577638865315999749474e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.654
y[1] (analytic) = -0.79365669071953133114756912185648
y[1] (numeric) = -0.79365669071953133114756912185646
absolute error = 2e-32
relative error = 2.5199812757664709134888054865196e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.653
y[1] (analytic) = -0.7942646596807786218092942371924
y[1] (numeric) = -0.79426465968077862180929423719238
absolute error = 2e-32
relative error = 2.5180523590257888905753029010557e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.652
y[1] (analytic) = -0.7948718343774324204118313174373
y[1] (numeric) = -0.79487183437743242041183131743728
absolute error = 2e-32
relative error = 2.5161289072048455254303287275800e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=91.5MB, alloc=4.4MB, time=10.40
x[1] = -0.651
y[1] (analytic) = -0.79547821420231808089927146127429
y[1] (numeric) = -0.79547821420231808089927146127427
absolute error = 2e-32
relative error = 2.5142109039473074430890174239267e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.65
y[1] (analytic) = -0.79608379854905582891760457067991
y[1] (numeric) = -0.79608379854905582891760457067988
absolute error = 3e-32
relative error = 3.7684474994564729659947834233245e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.649
y[1] (analytic) = -0.79668858681206136819444317328799
y[1] (numeric) = -0.79668858681206136819444317328796
absolute error = 3e-32
relative error = 3.7655867671011323587017781401442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.648
y[1] (analytic) = -0.79729257838654648612326822942085
y[1] (numeric) = -0.79729257838654648612326822942082
absolute error = 3e-32
relative error = 3.7627341346522961637729913892442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.647
y[1] (analytic) = -0.79789577266851965855159133959223
y[1] (numeric) = -0.79789577266851965855159133959221
absolute error = 2e-32
relative error = 2.5065930520111758014700916621124e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.646
y[1] (analytic) = -0.79849816905478665377242856437044
y[1] (numeric) = -0.79849816905478665377242856437042
absolute error = 2e-32
relative error = 2.5047020488067966453269720151548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.645
y[1] (analytic) = -0.79909976694295113571848186517791
y[1] (numeric) = -0.79909976694295113571848186517789
absolute error = 2e-32
relative error = 2.5028163975710217332432126128341e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.644
y[1] (analytic) = -0.79970056573141526635842497189628
y[1] (numeric) = -0.79970056573141526635842497189626
absolute error = 2e-32
relative error = 2.5009360824582850821211781158201e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.643
y[1] (analytic) = -0.80030056481938030729469128104118
y[1] (numeric) = -0.80030056481938030729469128104116
absolute error = 2e-32
relative error = 2.4990610876944459557031118589693e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.642
y[1] (analytic) = -0.80089976360684722056216218676894
y[1] (numeric) = -0.80089976360684722056216218676892
absolute error = 2e-32
relative error = 2.4971913975764109961024094754236e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.641
y[1] (analytic) = -0.80149816149461726862715504607705
y[1] (numeric) = -0.80149816149461726862715504607703
absolute error = 2e-32
relative error = 2.4953269964717588125240078991833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.64
y[1] (analytic) = -0.80209575788429261358611077926032
y[1] (numeric) = -0.8020957578842926135861107792603
absolute error = 2e-32
relative error = 2.4934678688183670087530666488528e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.639
y[1] (analytic) = -0.80269255217827691556338190698517
y[1] (numeric) = -0.80269255217827691556338190698515
absolute error = 2e-32
relative error = 2.4916139991240416311494851261179e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.638
y[1] (analytic) = -0.80328854377977593030752262624373
y[1] (numeric) = -0.80328854377977593030752262624371
absolute error = 2e-32
relative error = 2.4897653719661490190426393697983e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.637
y[1] (analytic) = -0.80388373209279810598548332894764
y[1] (numeric) = -0.80388373209279810598548332894762
absolute error = 2e-32
relative error = 2.4879219719912500395760506478644e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=95.3MB, alloc=4.4MB, time=10.85
TOP MAIN SOLVE Loop
x[1] = -0.636
y[1] (analytic) = -0.80447811652215517917411276901668
y[1] (numeric) = -0.80447811652215517917411276901665
absolute error = 3e-32
relative error = 3.7291256758721050338082989165211e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.635
y[1] (analytic) = -0.80507169647346277004837188650966
y[1] (numeric) = -0.80507169647346277004837188650963
absolute error = 3e-32
relative error = 3.7263761887807065663100791714601e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.634
y[1] (analytic) = -0.80566447135314097676566410063355
y[1] (numeric) = -0.80566447135314097676566410063352
absolute error = 3e-32
relative error = 3.7236344739906398140481555386677e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.633
y[1] (analytic) = -0.80625644056841496904568768734982
y[1] (numeric) = -0.8062564405684149690456876873498
absolute error = 2e-32
relative error = 2.4806003392543315808404913188924e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.632
y[1] (analytic) = -0.80684760352731558094521666177536
y[1] (numeric) = -0.80684760352731558094521666177534
absolute error = 2e-32
relative error = 2.4787828472893154060031289089666e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.631
y[1] (analytic) = -0.8074379596386799028272173906462
y[1] (numeric) = -0.80743795963867990282721739064618
absolute error = 2e-32
relative error = 2.4769704918195562898706882817622e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.63
y[1] (analytic) = -0.80802750831215187252370896577706
y[1] (numeric) = -0.80802750831215187252370896577703
absolute error = 3e-32
relative error = 3.7127448869488979468457345546423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.629
y[1] (analytic) = -0.80861624895818286569177617570531
y[1] (numeric) = -0.80861624895818286569177617570529
absolute error = 2e-32
relative error = 2.4733611309156723050271539103242e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.628
y[1] (analytic) = -0.80920418098803228536214471955587
y[1] (numeric) = -0.80920418098803228536214471955585
absolute error = 2e-32
relative error = 2.4715640959220142410623103815636e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.627
y[1] (analytic) = -0.80979130381376815067972911460066
y[1] (numeric) = -0.80979130381376815067972911460064
absolute error = 2e-32
relative error = 2.4697721383038588825300690966643e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.626
y[1] (analytic) = -0.81037761684826768483556455701403
y[1] (numeric) = -0.810377616848267684835564557014
absolute error = 3e-32
relative error = 3.7019778651681462620770497746691e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.625
y[1] (analytic) = -0.81096311950521790218953480394108
y[1] (numeric) = -0.81096311950521790218953480394105
absolute error = 3e-32
relative error = 3.6993050951939096015130567756560e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.624
y[1] (analytic) = -0.81154781119911619458330895420011
y[1] (numeric) = -0.81154781119911619458330895420008
absolute error = 3e-32
relative error = 3.6966398758038657751798413961217e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.623
y[1] (analytic) = -0.81213169134527091684290081473111
y[1] (numeric) = -0.81213169134527091684290081473107
absolute error = 4e-32
relative error = 4.9253095804870319306504187397701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.622
y[1] (analytic) = -0.81271475935980197147026535027979
y[1] (numeric) = -0.81271475935980197147026535027976
absolute error = 3e-32
relative error = 3.6913320023413669397952868026448e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=99.1MB, alloc=4.4MB, time=11.29
TOP MAIN SOLVE Loop
x[1] = -0.621
y[1] (analytic) = -0.81329701465964139252334752476951
y[1] (numeric) = -0.81329701465964139252334752476948
absolute error = 3e-32
relative error = 3.6886893052908563243193711661485e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.62
y[1] (analytic) = -0.8138784566625339286839996543607
y[1] (numeric) = -0.81387845666253392868399965436067
absolute error = 3e-32
relative error = 3.6860540728674406805547345644555e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.619
y[1] (analytic) = -0.81445908478703762551318420432926
y[1] (numeric) = -0.81445908478703762551318420432924
absolute error = 2e-32
relative error = 2.4556175225462113157383137111260e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.618
y[1] (analytic) = -0.81503889845252440689287977460952
y[1] (numeric) = -0.8150388984525244068928797746095
absolute error = 2e-32
relative error = 2.4538706113257966946970493424155e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.617
y[1] (analytic) = -0.8156178970791806556541088321442
y[1] (numeric) = -0.81561789707918065565410883214417
absolute error = 3e-32
relative error = 3.6781929513113151690599163743205e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.616
y[1] (analytic) = -0.81619608008800779339050656206213
y[1] (numeric) = -0.81619608008800779339050656206211
absolute error = 2e-32
relative error = 2.4503915772106458099468058896330e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.615
y[1] (analytic) = -0.8167734469008228594568510241632
y[1] (numeric) = -0.81677344690082285945685102416318
absolute error = 2e-32
relative error = 2.4486594264160145255994929894904e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.614
y[1] (analytic) = -0.81734999694025908915197561622843
y[1] (numeric) = -0.81734999694025908915197561622841
absolute error = 2e-32
relative error = 2.4469321679659612900171302262335e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.613
y[1] (analytic) = -0.81792572962976649108548566129119
y[1] (numeric) = -0.81792572962976649108548566129116
absolute error = 3e-32
relative error = 3.6678146820958278202111483209412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.612
y[1] (analytic) = -0.81850064439361242372770175220081
y[1] (numeric) = -0.81850064439361242372770175220078
absolute error = 3e-32
relative error = 3.6652384094609418854803150622756e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.611
y[1] (analytic) = -0.81907474065688217114225330358349
y[1] (numeric) = -0.81907474065688217114225330358346
absolute error = 3e-32
relative error = 3.6626694135312459562155116100115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.61
y[1] (analytic) = -0.81964801784547951790074657865482
y[1] (numeric) = -0.81964801784547951790074657865479
absolute error = 3e-32
relative error = 3.6601076738839397795063336515175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.609
y[1] (analytic) = -0.82022047538612732317893227626382
y[1] (numeric) = -0.82022047538612732317893227626379
absolute error = 3e-32
relative error = 3.6575531701860024708740185247786e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.608
y[1] (analytic) = -0.82079211270636809403379858204876
y[1] (numeric) = -0.82079211270636809403379858204872
absolute error = 4e-32
relative error = 4.8733411762583157984222726012516e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.607
y[1] (analytic) = -0.82136292923456455786101640665948
y[1] (numeric) = -0.82136292923456455786101640665944
absolute error = 4e-32
relative error = 4.8699543863364221817292166246022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=102.9MB, alloc=4.4MB, time=11.73
TOP MAIN SOLVE Loop
x[1] = -0.606
y[1] (analytic) = -0.8219329243999002340321643536487
y[1] (numeric) = -0.82193292439990023403216435364866
absolute error = 4e-32
relative error = 4.8665771637271153446214060559863e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.605
y[1] (analytic) = -0.82250209763238000471116177985496
y[1] (numeric) = -0.82250209763238000471116177985492
absolute error = 4e-32
relative error = 4.8632094817924866214568455650686e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.604
y[1] (analytic) = -0.82307044836283068484933913189164
y[1] (numeric) = -0.82307044836283068484933913189161
absolute error = 3e-32
relative error = 3.6448884855085000143310702729332e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.603
y[1] (analytic) = -0.82363797602290159135857556371942
y[1] (numeric) = -0.82363797602290159135857556371939
absolute error = 3e-32
relative error = 3.6423769754839276266367575615022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.602
y[1] (analytic) = -0.82420468004506511146193466221171
y[1] (numeric) = -0.82420468004506511146193466221168
absolute error = 3e-32
relative error = 3.6398725615534829738000937523604e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.601
y[1] (analytic) = -0.82477055986261727022122993012494
y[1] (numeric) = -0.82477055986261727022122993012491
absolute error = 3e-32
relative error = 3.6373752240862143982377712690575e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.6
y[1] (analytic) = -0.82533561490967829724095249895538
y[1] (numeric) = -0.82533561490967829724095249895535
absolute error = 3e-32
relative error = 3.6348849435369501138436653641172e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.599
y[1] (analytic) = -0.82589984462119319254799436780206
y[1] (numeric) = -0.82589984462119319254799436780203
absolute error = 3e-32
relative error = 3.6324017004458676118641669116694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.598
y[1] (analytic) = -0.82646324843293229164660128855966
y[1] (numeric) = -0.82646324843293229164660128855963
absolute error = 3e-32
relative error = 3.6299254754380657534238225133609e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.597
y[1] (analytic) = -0.82702582578149182974799024253562
y[1] (numeric) = -0.82702582578149182974799024253559
absolute error = 3e-32
relative error = 3.6274562492231395294866722938616e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.596
y[1] (analytic) = -0.827587576104294505174067278921
y[1] (numeric) = -0.82758757610429450517406727892098
absolute error = 2e-32
relative error = 2.4166626683965049794644880878190e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.595
y[1] (analytic) = -0.82814849883959004193468231144419
y[1] (numeric) = -0.82814849883959004193468231144417
absolute error = 2e-32
relative error = 2.4150258109534944517984447723310e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.594
y[1] (analytic) = -0.82870859342645575147785829599953
y[1] (numeric) = -0.82870859342645575147785829599951
absolute error = 2e-32
relative error = 2.4133935811267669897912413862386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.593
y[1] (analytic) = -0.82926785930479709361243303906856
y[1] (numeric) = -0.82926785930479709361243303906854
absolute error = 2e-32
relative error = 2.4117659662785757900752173137760e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.592
y[1] (analytic) = -0.82982629591534823660255271433876
y[1] (numeric) = -0.82982629591534823660255271433873
absolute error = 3e-32
relative error = 3.6152144307391703535771892750049e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=106.8MB, alloc=4.4MB, time=12.17
TOP MAIN SOLVE Loop
x[1] = -0.591
y[1] (analytic) = -0.83038390269967261643345699307291
y[1] (numeric) = -0.83038390269967261643345699307288
absolute error = 3e-32
relative error = 3.6127867968618592141534731623787e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.59
y[1] (analytic) = -0.83094067910016349524799652249068
y[1] (numeric) = -0.83094067910016349524799652249065
absolute error = 3e-32
relative error = 3.6103660290753115474843505128974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.589
y[1] (analytic) = -0.83149662456004451895332431569136
y[1] (numeric) = -0.83149662456004451895332431569133
absolute error = 3e-32
relative error = 3.6079521087500966171672875997915e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.588
y[1] (analytic) = -0.83205173852337027399720344647288
y[1] (numeric) = -0.83205173852337027399720344647285
absolute error = 3e-32
relative error = 3.6055450173375695975852700506626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.587
y[1] (analytic) = -0.83260602043502684331337427278583
y[1] (numeric) = -0.8326060204350268433133742727858
absolute error = 3e-32
relative error = 3.6031447363694719854847896236394e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.586
y[1] (analytic) = -0.83315946974073236143542524350155
y[1] (numeric) = -0.83315946974073236143542524350151
absolute error = 4e-32
relative error = 4.8010016632767126369965511774018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.585
y[1] (analytic) = -0.83371208588703756877861217466974
y[1] (numeric) = -0.8337120858870375687786121746697
absolute error = 4e-32
relative error = 4.7978193763907763972587832988166e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.584
y[1] (analytic) = -0.8342638683213263650890717134926
y[1] (numeric) = -0.83426386832132636508907171349256
absolute error = 4e-32
relative error = 4.7946460968621906058704762738692e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.583
y[1] (analytic) = -0.83481481649181636205987554084799
y[1] (numeric) = -0.83481481649181636205987554084795
absolute error = 4e-32
relative error = 4.7914818004900752168812356409586e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.582
y[1] (analytic) = -0.83536492984755943511337269635362
y[1] (numeric) = -0.83536492984755943511337269635357
absolute error = 5e-32
relative error = 5.9854080789726461088515805178564e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.581
y[1] (analytic) = -0.83591420783844227434926824367577
y[1] (numeric) = -0.83591420783844227434926824367573
absolute error = 4e-32
relative error = 4.7851800609340555765188477563780e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.58
y[1] (analytic) = -0.83646264991518693465788732805002
y[1] (numeric) = -0.83646264991518693465788732804998
absolute error = 4e-32
relative error = 4.7820425698691743007856700863157e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.579
y[1] (analytic) = -0.83701025552935138499807451279544
y[1] (numeric) = -0.8370102555293513849980745127954
absolute error = 4e-32
relative error = 4.7789139661977920129623230861013e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.578
y[1] (analytic) = -0.83755702413333005683917911696904
y[1] (numeric) = -0.837557024133330056839179116969
absolute error = 4e-32
relative error = 4.7757942262367595932950224921858e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.577
y[1] (analytic) = -0.83810295518035439176657811222054
y[1] (numeric) = -0.8381029551803543917665781122205
memory used=110.6MB, alloc=4.4MB, time=12.61
absolute error = 4e-32
relative error = 4.7726833264049589248515951589103e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.576
y[1] (analytic) = -0.83864804812449338825018897337042
y[1] (numeric) = -0.83864804812449338825018897337039
absolute error = 3e-32
relative error = 3.5771859324171037751851814313089e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.575
y[1] (analytic) = -0.83919230242065414757542571424383
y[1] (numeric) = -0.8391923024206541475754257142438
absolute error = 3e-32
relative error = 3.5748659649838134535263316579768e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.574
y[1] (analytic) = -0.83973571752458241893605217784984
y[1] (numeric) = -0.83973571752458241893605217784981
absolute error = 3e-32
relative error = 3.5725525750453481406537447476106e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.573
y[1] (analytic) = -0.84027829289286314368838748809822
y[1] (numeric) = -0.84027829289286314368838748809819
absolute error = 3e-32
relative error = 3.5702457452182510507891862156843e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.572
y[1] (analytic) = -0.84082002798292099876631940889362
y[1] (numeric) = -0.84082002798292099876631940889359
absolute error = 3e-32
relative error = 3.5679454581937443394036232703444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.571
y[1] (analytic) = -0.84136092225302093925658219563904
y[1] (numeric) = -0.84136092225302093925658219563901
absolute error = 3e-32
relative error = 3.5656516967373669615590792006927e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.57
y[1] (analytic) = -0.84190097516226874013375636391601
y[1] (numeric) = -0.84190097516226874013375636391598
absolute error = 3e-32
relative error = 3.5633644436886147341559081380654e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.569
y[1] (analytic) = -0.84244018617061153715444864038683
y[1] (numeric) = -0.8424401861706115371544486403868
absolute error = 3e-32
relative error = 3.5610836819605825867916055211420e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.568
y[1] (analytic) = -0.84297855473883836691011120178398
y[1] (numeric) = -0.84297855473883836691011120178394
absolute error = 4e-32
relative error = 4.7450791927194786480795709218421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.567
y[1] (analytic) = -0.84351608032858070603796014921248
y[1] (numeric) = -0.84351608032858070603796014921244
absolute error = 4e-32
relative error = 4.7420554193132300243178810677542e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.566
y[1] (analytic) = -0.84405276240231300958945400689171
y[1] (numeric) = -0.84405276240231300958945400689167
absolute error = 4e-32
relative error = 4.7390402332377208205861240580421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.565
y[1] (analytic) = -0.84458860042335324855579387690292
y[1] (numeric) = -0.84458860042335324855579387690289
absolute error = 3e-32
relative error = 3.5520252090736704104064259198680e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.564
y[1] (analytic) = -0.84512359385586344654990772448725
y[1] (numeric) = -0.84512359385586344654990772448722
absolute error = 3e-32
relative error = 3.5497766501968617052679154851097e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.563
y[1] (analytic) = -0.8456577421648502156443821119545
y[1] (numeric) = -0.84565774216485021564438211195447
absolute error = 3e-32
relative error = 3.5475344816451620396740998825219e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=13.05
x[1] = -0.562
y[1] (analytic) = -0.84619104481616529136480554331576
y[1] (numeric) = -0.84619104481616529136480554331573
absolute error = 3e-32
relative error = 3.5452986868370238438524503589995e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.561
y[1] (analytic) = -0.84672350127650606683798842634102
y[1] (numeric) = -0.84672350127650606683798842634099
absolute error = 3e-32
relative error = 3.5430692492617136622407497417853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.56
y[1] (analytic) = -0.84725511101341612609452550386632
y[1] (numeric) = -0.84725511101341612609452550386629
absolute error = 3e-32
relative error = 3.5408461524789734334656927355966e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.559
y[1] (analytic) = -0.8477858734952857765251674518325
y[1] (numeric) = -0.84778587349528577652516745183247
absolute error = 3e-32
relative error = 3.5386293801186838125493814890052e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.558
y[1] (analytic) = -0.84831578819135258049046918772829
y[1] (numeric) = -0.84831578819135258049046918772826
absolute error = 3e-32
relative error = 3.5364189158805295213378171752085e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.557
y[1] (analytic) = -0.8488448545717018860831832798337
y[1] (numeric) = -0.84884485457170188608318327983367
absolute error = 3e-32
relative error = 3.5342147435336667132564237251442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.556
y[1] (analytic) = -0.84937307210726735704286769491463
y[1] (numeric) = -0.8493730721072673570428676949146
absolute error = 3e-32
relative error = 3.5320168469163923386075931227963e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.555
y[1] (analytic) = -0.84990044026983150182217796980501
y[1] (numeric) = -0.84990044026983150182217796980498
absolute error = 3e-32
relative error = 3.5298252099358154967342225002090e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.554
y[1] (analytic) = -0.85042695853202620180431474062843
y[1] (numeric) = -0.85042695853202620180431474062839
absolute error = 4e-32
relative error = 4.7035197554233743486416416335749e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.553
y[1] (analytic) = -0.85095262636733323867109841225574
y[1] (numeric) = -0.8509526263673332386710984122557
absolute error = 4e-32
relative error = 4.7006142011403912886588143020054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.552
y[1] (analytic) = -0.85147744325008482092114359996793
y[1] (numeric) = -0.8514774432500848209211435999679
absolute error = 3e-32
relative error = 3.5232876969106969369996803163473e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.551
y[1] (analytic) = -0.8520014086554641095376068251937
y[1] (numeric) = -0.85200140865546410953760682519367
absolute error = 3e-32
relative error = 3.5211209389128516548194080124485e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.55
y[1] (analytic) = -0.85252452205950574280498179761777
y[1] (numeric) = -0.85252452205950574280498179761774
absolute error = 3e-32
relative error = 3.5189603611080663434699154997634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.549
y[1] (analytic) = -0.85304678293909636027441746690851
y[1] (numeric) = -0.85304678293909636027441746690848
absolute error = 3e-32
relative error = 3.5168059478095309603086299692063e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.548
y[1] (analytic) = -0.8535681907719751258770348787904
y[1] (numeric) = -0.85356819077197512587703487879037
absolute error = 3e-32
relative error = 3.5146576833970015827849815996031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=118.2MB, alloc=4.4MB, time=13.49
TOP MAIN SOLVE Loop
x[1] = -0.547
y[1] (analytic) = -0.8540887450367342501847197221881
y[1] (numeric) = -0.85408874503673425018471972218807
absolute error = 3e-32
relative error = 3.5125155523164871759590827812059e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.546
y[1] (analytic) = -0.85460844521281951181786830669308
y[1] (numeric) = -0.85460844521281951181786830669305
absolute error = 3e-32
relative error = 3.5103795390799382285504725931094e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.545
y[1] (analytic) = -0.85512729078053077799956556265031
y[1] (numeric) = -0.85512729078053077799956556265028
absolute error = 3e-32
relative error = 3.5082496282649372448792762265882e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.544
y[1] (analytic) = -0.85564528122102252425567450973039
y[1] (numeric) = -0.85564528122102252425567450973036
absolute error = 3e-32
relative error = 3.5061258045143910801610225826950e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.543
y[1] (analytic) = -0.85616241601630435326031749394093
y[1] (numeric) = -0.8561624160163043532603174939409
absolute error = 3e-32
relative error = 3.5040080525362251067143926644727e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.542
y[1] (analytic) = -0.85667869464924151282623034763916
y[1] (numeric) = -0.85667869464924151282623034763914
absolute error = 2e-32
relative error = 2.3345975714020527991588966933654e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.541
y[1] (analytic) = -0.85719411660355541303947148223492
y[1] (numeric) = -0.8571941166035554130394714822349
absolute error = 2e-32
relative error = 2.3331938020346703489409272607728e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.54
y[1] (analytic) = -0.8577086813638241425379687789178
y[1] (numeric) = -0.85770868136382414253796877891777
absolute error = 3e-32
relative error = 3.4976910752841681261612782120289e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.539
y[1] (analytic) = -0.85822238841548298393338799890475
y[1] (numeric) = -0.85822238841548298393338799890472
absolute error = 3e-32
relative error = 3.4955974587645442980480007279868e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.538
y[1] (analytic) = -0.85873523724482492837580729138267
y[1] (numeric) = -0.85873523724482492837580729138264
absolute error = 3e-32
relative error = 3.4935098385216277132968801172133e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.537
y[1] (analytic) = -0.85924722733900118926068323451424
y[1] (numeric) = -0.85924722733900118926068323451422
absolute error = 2e-32
relative error = 2.3276187997647555500743254080838e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.536
y[1] (analytic) = -0.85975835818602171507759470258392
y[1] (numeric) = -0.8597583581860217150775947025839
absolute error = 2e-32
relative error = 2.3262350181971360053255906095231e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.535
y[1] (analytic) = -0.86026862927475570140025171058284
y[1] (numeric) = -0.86026862927475570140025171058282
absolute error = 2e-32
relative error = 2.3248552044564126232313799197224e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.534
y[1] (analytic) = -0.86077804009493210201725724626652
y[1] (numeric) = -0.8607780400949321020172572462665
absolute error = 2e-32
relative error = 2.3234793487290024515860882250105e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.533
y[1] (analytic) = -0.86128659013714013920311095896611
y[1] (numeric) = -0.86128659013714013920311095896609
absolute error = 2e-32
relative error = 2.3221074412426946787403215575548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=122.0MB, alloc=4.4MB, time=13.94
TOP MAIN SOLVE Loop
x[1] = -0.532
y[1] (analytic) = -0.86179427889282981312894443419202
y[1] (numeric) = -0.861794278892829813128944434192
absolute error = 2e-32
relative error = 2.3207394722664596418396870739559e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.531
y[1] (analytic) = -0.86230110585431241041247864333708
y[1] (numeric) = -0.86230110585431241041247864333706
absolute error = 2e-32
relative error = 2.3193754321102589610416890856729e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.53
y[1] (analytic) = -0.8628070705147610118066950185642
y[1] (numeric) = -0.86280707051476101180669501856419
absolute error = 1e-32
relative error = 1.1590076555624283961082735251395e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.529
y[1] (analytic) = -0.86331217236821099902671246424977
y[1] (numeric) = -0.86331217236821099902671246424976
absolute error = 1e-32
relative error = 1.1583295498508160953478006422419e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.528
y[1] (analytic) = -0.86381641090956056071436347814793
y[1] (numeric) = -0.86381641090956056071436347814792
absolute error = 1e-32
relative error = 1.1576533941361962893441620096906e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.527
y[1] (analytic) = -0.86431978563457119753996341774188
y[1] (numeric) = -0.86431978563457119753996341774187
absolute error = 1e-32
relative error = 1.1569791836545941545229060313051e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.526
y[1] (analytic) = -0.86482229603986822644076781005499
y[1] (numeric) = -0.86482229603986822644076781005497
absolute error = 2e-32
relative error = 2.3126138273241283181050074879062e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.525
y[1] (analytic) = -0.86532394162294128399561346650638
y[1] (numeric) = -0.86532394162294128399561346650637
absolute error = 1e-32
relative error = 1.1556365794345984302018895585229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.524
y[1] (analytic) = -0.86582472188214482893524002821195
y[1] (numeric) = -0.86582472188214482893524002821194
absolute error = 1e-32
relative error = 1.1549681762680356590562023602548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.523
y[1] (analytic) = -0.86632463631669864378778943145095
y[1] (numeric) = -0.86632463631669864378778943145094
absolute error = 1e-32
relative error = 1.1543016994779705390409632103976e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.522
y[1] (analytic) = -0.8668236844266883356589816478407
y[1] (numeric) = -0.8668236844266883356589816478407
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.521
y[1] (analytic) = -0.86732186571306583614646591908526
y[1] (numeric) = -0.86732186571306583614646591908526
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.52
y[1] (analytic) = -0.86781917967764990038784757198851
y[1] (numeric) = -0.86781917967764990038784757198851
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.519
y[1] (analytic) = -0.8683156258231266052418913657465
y[1] (numeric) = -0.86831562582312660524189136574649
absolute error = 1e-32
relative error = 1.1516549630810134964796350737039e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.518
y[1] (analytic) = -0.86881120365304984660240319035711
y[1] (numeric) = -0.86881120365304984660240319035711
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
memory used=125.8MB, alloc=4.4MB, time=14.39
TOP MAIN SOLVE Loop
x[1] = -0.517
y[1] (analytic) = -0.86930591267184183584429280230693
y[1] (numeric) = -0.86930591267184183584429280230692
absolute error = 1e-32
relative error = 1.1503430327840119704646595068108e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.516
y[1] (analytic) = -0.86979975238479359540132115151374
y[1] (numeric) = -0.86979975238479359540132115151373
absolute error = 1e-32
relative error = 1.1496899111068114968933501099848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.515
y[1] (analytic) = -0.87029272229806545347503672181887
y[1] (numeric) = -0.87029272229806545347503672181886
absolute error = 1e-32
relative error = 1.1490386790313883207150985132988e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.514
y[1] (analytic) = -0.87078482191868753787440617613407
y[1] (numeric) = -0.87078482191868753787440617613406
absolute error = 1e-32
relative error = 1.1483893320471522459167530789862e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.513
y[1] (analytic) = -0.87127605075456026898564546665356
y[1] (numeric) = -0.87127605075456026898564546665355
absolute error = 1e-32
relative error = 1.1477418656623920617578078515762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.512
y[1] (analytic) = -0.87176640831445485187175844034113
y[1] (numeric) = -0.87176640831445485187175844034111
absolute error = 2e-32
relative error = 2.2941925508083812530549569232593e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.511
y[1] (analytic) = -0.87225589410801376750129084019472
y[1] (numeric) = -0.8722558941080137675012908401947
absolute error = 2e-32
relative error = 2.2929051136366808891441284968662e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.51
y[1] (analytic) = -0.87274450764575126310580847357551
y[1] (numeric) = -0.87274450764575126310580847357549
absolute error = 2e-32
relative error = 2.2916214109385194667585986599469e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.509
y[1] (analytic) = -0.87323224843905384166560919016402
y[1] (numeric) = -0.87323224843905384166560919016401
absolute error = 1e-32
relative error = 1.1451707169399089775307668707659e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.508
y[1] (analytic) = -0.87371911600018075052317918387225
y[1] (numeric) = -0.87371911600018075052317918387224
absolute error = 1e-32
relative error = 1.1445325868317079663576166325875e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.507
y[1] (analytic) = -0.87420510984226446912390500529606
y[1] (numeric) = -0.87420510984226446912390500529605
absolute error = 1e-32
relative error = 1.1438963107644533121587879767423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.506
y[1] (analytic) = -0.87469022947931119588355354403665
y[1] (numeric) = -0.87469022947931119588355354403664
absolute error = 1e-32
relative error = 1.1432618843762364458647007360447e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.505
y[1] (analytic) = -0.87517447442620133418203311345153
y[1] (numeric) = -0.87517447442620133418203311345151
absolute error = 2e-32
relative error = 2.2852586066467241741058733747486e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.504
y[1] (analytic) = -0.87565784419868997748294964411447
y[1] (numeric) = -0.87565784419868997748294964411446
absolute error = 1e-32
relative error = 1.1419985632802671852457966089940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.503
y[1] (analytic) = -0.87614033831340739357847286646878
y[1] (numeric) = -0.87614033831340739357847286646877
absolute error = 1e-32
relative error = 1.1413696599394403294427839590974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=129.7MB, alloc=4.4MB, time=14.84
TOP MAIN SOLVE Loop
x[1] = -0.502
y[1] (analytic) = -0.87662195628785950795902823784783
y[1] (numeric) = -0.87662195628785950795902823784782
absolute error = 1e-32
relative error = 1.1407425890113416228640379023957e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.501
y[1] (analytic) = -0.87710269764042838630733124421144
y[1] (numeric) = -0.87710269764042838630733124421143
absolute error = 1e-32
relative error = 1.1401173462243230199035175602229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.5
y[1] (analytic) = -0.87758256189037271611628158260383
y[1] (numeric) = -0.87758256189037271611628158260382
absolute error = 1e-32
relative error = 1.1394939273245491223133277682049e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.499
y[1] (analytic) = -0.87806154855782828743023560647926
y[1] (numeric) = -0.87806154855782828743023560647925
absolute error = 1e-32
relative error = 1.1388723280759184316629760770956e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.498
y[1] (analytic) = -0.87853965716380847270917629266282
y[1] (numeric) = -0.87853965716380847270917629266281
absolute error = 1e-32
relative error = 1.1382525442599850551395629917733e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.497
y[1] (analytic) = -0.8790168872302047058153008658165
y[1] (numeric) = -0.87901688723020470581530086581648
absolute error = 2e-32
relative error = 2.2752691433517617235538685147681e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.496
y[1] (analytic) = -0.87949323827978696012154709386275
y[1] (numeric) = -0.87949323827978696012154709386273
absolute error = 2e-32
relative error = 2.2740368122804761724473341982522e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.495
y[1] (analytic) = -0.87996870983620422574158014587922
y[1] (numeric) = -0.87996870983620422574158014587919
absolute error = 3e-32
relative error = 3.4092121304613371315442702433781e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.494
y[1] (analytic) = -0.88044330142398498588076278251734
y[1] (numeric) = -0.88044330142398498588076278251731
absolute error = 3e-32
relative error = 3.4073744387037188630000510921209e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.493
y[1] (analytic) = -0.88091701256853769230763252801455
y[1] (numeric) = -0.88091701256853769230763252801452
absolute error = 3e-32
relative error = 3.4055421307538796128105328608899e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.492
y[1] (analytic) = -0.88138984279615123994541035236238
y[1] (numeric) = -0.88138984279615123994541035236235
absolute error = 3e-32
relative error = 3.4037151942694251378283571091403e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.491
y[1] (analytic) = -0.88186179163399544058306627216136
y[1] (numeric) = -0.88186179163399544058306627216133
absolute error = 3e-32
relative error = 3.4018936169593211885729090074835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.49
y[1] (analytic) = -0.88233285861012149570546815913666
y[1] (numeric) = -0.88233285861012149570546815913662
absolute error = 4e-32
relative error = 4.5334365154448922636755942153278e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.489
y[1] (analytic) = -0.88280304325346246844214092620495
y[1] (numeric) = -0.88280304325346246844214092620491
absolute error = 4e-32
relative error = 4.5310219879379776700334999756254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.488
y[1] (analytic) = -0.88327234509383375463416414237277
y[1] (numeric) = -0.88327234509383375463416414237273
absolute error = 4e-32
relative error = 4.5286145572406244563257319679010e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=133.5MB, alloc=4.4MB, time=15.28
TOP MAIN SOLVE Loop
x[1] = -0.487
y[1] (analytic) = -0.88374076366193355301873700960789
y[1] (numeric) = -0.88374076366193355301873700960785
absolute error = 4e-32
relative error = 4.5262142072357331649763055214631e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.486
y[1] (analytic) = -0.88420829848934333453094051715798
y[1] (numeric) = -0.88420829848934333453094051715793
absolute error = 5e-32
relative error = 5.6547761523415074098152888888162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.485
y[1] (analytic) = -0.88467494910852831072222747159347
y[1] (numeric) = -0.88467494910852831072222747159343
absolute error = 4e-32
relative error = 4.5214346851696558343234503053326e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.484
y[1] (analytic) = -0.88514071505283790129517198412375
y[1] (numeric) = -0.88514071505283790129517198412371
absolute error = 4e-32
relative error = 4.5190554812081179573086518003207e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.483
y[1] (analytic) = -0.88560559585650620075401088047591
y[1] (numeric) = -0.88560559585650620075401088047587
absolute error = 4e-32
relative error = 4.5166832941377620268184448659245e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.482
y[1] (analytic) = -0.88606959105465244417051038283381
y[1] (numeric) = -0.88606959105465244417051038283376
absolute error = 5e-32
relative error = 5.6428976352170084257314247263140e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.481
y[1] (analytic) = -0.88653270018328147206469229800935
y[1] (numeric) = -0.88653270018328147206469229800931
absolute error = 4e-32
relative error = 4.5119599075962357014455178968939e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.48
y[1] (analytic) = -0.88699492277928419439995483115874
y[1] (numeric) = -0.8869949227792841943999548311587
absolute error = 4e-32
relative error = 4.5096086767515149712194737237426e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.479
y[1] (analytic) = -0.88745625838043805369212402996133
y[1] (numeric) = -0.88745625838043805369212402996129
absolute error = 4e-32
relative error = 4.5072644000503122309032836998362e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.478
y[1] (analytic) = -0.88791670652540748723197275024844
y[1] (numeric) = -0.8879167065254074872319727502484
absolute error = 4e-32
relative error = 4.5049270619682175370715068286423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.477
y[1] (analytic) = -0.88837626675374438842074492060154
y[1] (numeric) = -0.8883762667537443884207449206015
absolute error = 4e-32
relative error = 4.5025966470452656644561568630259e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.476
y[1] (analytic) = -0.88883493860588856721822377043406
y[1] (numeric) = -0.88883493860588856721822377043402
absolute error = 4e-32
relative error = 4.5002731398856600247458098133273e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.475
y[1] (analytic) = -0.88929272162316820970288357352693
y[1] (numeric) = -0.88929272162316820970288357352689
absolute error = 4e-32
relative error = 4.4979565251574981517207298471747e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.474
y[1] (analytic) = -0.88974961534780033674366534690441
y[1] (numeric) = -0.88974961534780033674366534690437
absolute error = 4e-32
relative error = 4.4956467875924987429129166617067e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.473
y[1] (analytic) = -0.89020561932289126178291783331278
y[1] (numeric) = -0.89020561932289126178291783331274
absolute error = 4e-32
memory used=137.3MB, alloc=4.4MB, time=15.72
relative error = 4.4933439119857302480522036182514e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.472
y[1] (analytic) = -0.89066073309243704773004598439895
y[1] (numeric) = -0.89066073309243704773004598439891
absolute error = 4e-32
relative error = 4.4910478831953409946311737551678e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.471
y[1] (analytic) = -0.89111495620132396296541005097869
y[1] (numeric) = -0.89111495620132396296541005097866
absolute error = 3e-32
relative error = 3.3665690146067181307445367015998e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.47
y[1] (analytic) = -0.89156828819532893645401927653339
y[1] (numeric) = -0.89156828819532893645401927653336
absolute error = 3e-32
relative error = 3.3648572293575632605608883655706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.469
y[1] (analytic) = -0.89202072862112001196856508027942
y[1] (numeric) = -0.89202072862112001196856508027939
absolute error = 3e-32
relative error = 3.3631505454333790918010297634069e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.468
y[1] (analytic) = -0.892472277026256801421339506815
y[1] (numeric) = -0.89247227702625680142133950681497
absolute error = 3e-32
relative error = 3.3614489516650152510991238693811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.467
y[1] (analytic) = -0.89292293295919093730458561046372
y[1] (numeric) = -0.89292293295919093730458561046369
absolute error = 3e-32
relative error = 3.3597524369296362868078927554952e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.466
y[1] (analytic) = -0.89337269596926652423882733400213
y[1] (numeric) = -0.89337269596926652423882733400209
absolute error = 4e-32
relative error = 4.4774146535340347078696790235818e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.465
y[1] (analytic) = -0.89382156560672058962872733347906
y[1] (numeric) = -0.89382156560672058962872733347902
absolute error = 4e-32
relative error = 4.4751661337291907525830542586697e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.464
y[1] (analytic) = -0.89426954142268353342602209330656
y[1] (numeric) = -0.89426954142268353342602209330652
absolute error = 4e-32
relative error = 4.4729243418449030396325799201642e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.463
y[1] (analytic) = -0.8947166229691795769990845687246
y[1] (numeric) = -0.89471662296917957699908456872456
absolute error = 4e-32
relative error = 4.4706892632951433765866304928217e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.462
y[1] (analytic) = -0.89516280979912721110866548611451
y[1] (numeric) = -0.89516280979912721110866548611447
absolute error = 4e-32
relative error = 4.4684608835543471692388544100309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.461
y[1] (analytic) = -0.89560810146633964298936532545704
y[1] (numeric) = -0.895608101466339642989365325457
absolute error = 4e-32
relative error = 4.4662391881571598373580111841235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.46
y[1] (analytic) = -0.89605249752552524253638990350041
y[1] (numeric) = -0.89605249752552524253638990350036
absolute error = 5e-32
relative error = 5.5800302033727308211632209275467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.459
y[1] (analytic) = -0.89649599753228798759714337091984
y[1] (numeric) = -0.8964959975322879875971433709198
absolute error = 4e-32
relative error = 4.4618157928317320201090029076146e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=16.16
x[1] = -0.458
y[1] (analytic) = -0.89693860104312790836721333191287
y[1] (numeric) = -0.89693860104312790836721333191282
absolute error = 5e-32
relative error = 5.5745175803394626301780715449807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.457
y[1] (analytic) = -0.89738030761544153089030369028207
y[1] (numeric) = -0.89738030761544153089030369028202
absolute error = 5e-32
relative error = 5.5717737034883461757878705073603e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.456
y[1] (analytic) = -0.89782111680752231966167172210963
y[1] (numeric) = -0.89782111680752231966167172210958
absolute error = 5e-32
relative error = 5.5690380927762423456268059166611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.455
y[1] (analytic) = -0.89826102817856111933462677162328
y[1] (numeric) = -0.89826102817856111933462677162323
absolute error = 5e-32
relative error = 5.5663107305664755227315795750558e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.454
y[1] (analytic) = -0.89870004128864659552964886379195
y[1] (numeric) = -0.8987000412886465955296488637919
absolute error = 5e-32
relative error = 5.5635915992954630631267660292795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.453
y[1] (analytic) = -0.89913815569876567474568642456905
y[1] (numeric) = -0.899138155698765674745686424569
absolute error = 5e-32
relative error = 5.5608806814724122773220287707721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.452
y[1] (analytic) = -0.89957537097080398337319319752249
y[1] (numeric) = -0.89957537097080398337319319752245
absolute error = 4e-32
relative error = 4.4465423677432152874052304406947e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.451
y[1] (analytic) = -0.90001168666754628580846534385106
y[1] (numeric) = -0.90001168666754628580846534385102
absolute error = 4e-32
relative error = 4.4443867332553348018627645331229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.45
y[1] (analytic) = -0.90044710235267692166884061148645
y[1] (numeric) = -0.90044710235267692166884061148641
absolute error = 4e-32
relative error = 4.4422376278949091537778426840465e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.449
y[1] (analytic) = -0.90088161759078024210832235811838
y[1] (numeric) = -0.90088161759078024210832235811834
absolute error = 4e-32
relative error = 4.4400950378998349330571086364097e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.448
y[1] (analytic) = -0.90131523194734104523319211255506
y[1] (numeric) = -0.90131523194734104523319211255502
absolute error = 4e-32
relative error = 4.4379589495650488236529615785921e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.447
y[1] (analytic) = -0.9017479449887450106171752588427
y[1] (numeric) = -0.90174794498874501061717525884266
absolute error = 4e-32
relative error = 4.4358293492422932133543641076917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.446
y[1] (analytic) = -0.90217975628227913291572532801462
y[1] (numeric) = -0.90217975628227913291572532801458
absolute error = 4e-32
relative error = 4.4337062233398831126870935555340e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.445
y[1] (analytic) = -0.9026106653961321545789932832218
y[1] (numeric) = -0.90261066539613215457899328322177
absolute error = 3e-32
relative error = 3.3236921687418557812398125810110e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.444
y[1] (analytic) = -0.9030406718993949976630490853117
y[1] (numeric) = -0.90304067189939499766304908531167
absolute error = 3e-32
relative error = 3.3221095055331249073217456134151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=144.9MB, alloc=4.4MB, time=16.61
TOP MAIN SOLVE Loop
x[1] = -0.443
y[1] (analytic) = -0.90346977536206119473892372766962
y[1] (numeric) = -0.90346977536206119473892372766959
absolute error = 3e-32
relative error = 3.3205316678112052361506438085283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.442
y[1] (analytic) = -0.90389797535502731889904083131662
y[1] (numeric) = -0.90389797535502731889904083131659
absolute error = 3e-32
relative error = 3.3189586455503222147759288101638e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.441
y[1] (analytic) = -0.90432527145009341286060779386822
y[1] (numeric) = -0.90432527145009341286060779386819
absolute error = 3e-32
relative error = 3.3173904287662712238033586656906e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.44
y[1] (analytic) = -0.90475166321996341716553738899837
y[1] (numeric) = -0.90475166321996341716553738899834
absolute error = 3e-32
relative error = 3.3158270075162485340432559605432e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.439
y[1] (analytic) = -0.90517715023824559747647161652294
y[1] (numeric) = -0.90517715023824559747647161652291
absolute error = 3e-32
relative error = 3.3142683718986832042099443051006e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.438
y[1] (analytic) = -0.90560173207945297096848050711436
y[1] (numeric) = -0.90560173207945297096848050711433
absolute error = 3e-32
relative error = 3.3127145120530699140126902574826e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.437
y[1] (analytic) = -0.90602540831900373181600948998423
y[1] (numeric) = -0.90602540831900373181600948998419
absolute error = 4e-32
relative error = 4.4148872242130703026920048166110e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.436
y[1] (analytic) = -0.90644817853322167577464983662187
y[1] (numeric) = -0.90644817853322167577464983662183
absolute error = 4e-32
relative error = 4.4128281072533463702818479566285e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.435
y[1] (analytic) = -0.90687004229933662385730759885391
y[1] (numeric) = -0.90687004229933662385730759885387
absolute error = 4e-32
relative error = 4.4107753188738518362647178840453e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.434
y[1] (analytic) = -0.90729099919548484510434736509116
y[1] (numeric) = -0.90729099919548484510434736509112
absolute error = 4e-32
relative error = 4.4087288461440587094421958406503e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.433
y[1] (analytic) = -0.90771104880070947844728806465426
y[1] (numeric) = -0.90771104880070947844728806465422
absolute error = 4e-32
relative error = 4.4066886761870971613542145100025e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.432
y[1] (analytic) = -0.90813019069496095366562895651753
y[1] (numeric) = -0.90813019069496095366562895651749
absolute error = 4e-32
relative error = 4.4046547961795399647259611215123e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.431
y[1] (analytic) = -0.90854842445909741143638484567998
y[1] (numeric) = -0.90854842445909741143638484567994
absolute error = 4e-32
relative error = 4.4026271933511881277700981719052e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.43
y[1] (analytic) = -0.90896574967488512247591047766345
y[1] (numeric) = -0.9089657496748851224759104776634
absolute error = 5e-32
relative error = 5.5007573187310721465236633972823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.429
y[1] (analytic) = -0.90938216592499890577359496934819
y[1] (numeric) = -0.90938216592499890577359496934814
absolute error = 5e-32
relative error = 5.4982384605202098287649071770470e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=148.7MB, alloc=4.4MB, time=17.05
TOP MAIN SOLVE Loop
x[1] = -0.428
y[1] (analytic) = -0.90979767279302254591700804248653
y[1] (numeric) = -0.90979767279302254591700804248649
absolute error = 4e-32
relative error = 4.3965819210333299376143695848124e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.427
y[1] (analytic) = -0.91021226986344920950808073478303
y[1] (numeric) = -0.91021226986344920950808073478299
absolute error = 4e-32
relative error = 4.3945793002769379029929373614844e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.426
y[1] (analytic) = -0.91062595672168186066990417239512
y[1] (numeric) = -0.91062595672168186066990417239508
absolute error = 4e-32
relative error = 4.3925828936397598183235470572489e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.425
y[1] (analytic) = -0.91103873295403367564373089709014
y[1] (numeric) = -0.9110387329540336756437308970901
absolute error = 4e-32
relative error = 4.3905926886665305015560841005694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.424
y[1] (analytic) = -0.911450598147728456475764151092
y[1] (numeric) = -0.91145059814772845647576415109196
absolute error = 4e-32
relative error = 4.3886086729537453380094129490448e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.423
y[1] (analytic) = -0.91186155189090104379332143286255
y[1] (numeric) = -0.91186155189090104379332143286251
absolute error = 4e-32
relative error = 4.3866308341494552292185440107683e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.422
y[1] (analytic) = -0.91227159377259772866995954768862
y[1] (numeric) = -0.91227159377259772866995954768859
absolute error = 3e-32
relative error = 3.2884943699647970064779252554626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.421
y[1] (analytic) = -0.91268072338277666357914928798398
y[1] (numeric) = -0.91268072338277666357914928798395
absolute error = 3e-32
relative error = 3.2870202285863392381352492245702e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.42
y[1] (analytic) = -0.91308894031230827243608878966567
y[1] (numeric) = -0.91308894031230827243608878966564
absolute error = 3e-32
relative error = 3.2855506923278419507281472471636e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.419
y[1] (analytic) = -0.91349624415297565972724552282569
y[1] (numeric) = -0.91349624415297565972724552282566
absolute error = 3e-32
relative error = 3.2840857520784889132778370558822e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.418
y[1] (analytic) = -0.91390263449747501872721778719006
y[1] (numeric) = -0.91390263449747501872721778719003
absolute error = 3e-32
relative error = 3.2826253987653742425637375854634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.417
y[1] (analytic) = -0.91430811093941603880250749553771
y[1] (numeric) = -0.91430811093941603880250749553768
absolute error = 3e-32
relative error = 3.2811696233533536411377528211554e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.416
y[1] (analytic) = -0.9147126730733223118017969413405
y[1] (numeric) = -0.91471267307332231180179694134047
absolute error = 3e-32
relative error = 3.2797184168448964559366093621518e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.415
y[1] (analytic) = -0.91511632049463173753232316038139
y[1] (numeric) = -0.91511632049463173753232316038136
absolute error = 3e-32
relative error = 3.2782717702799385526894209777457e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.414
y[1] (analytic) = -0.91551905279969692832194441001016
y[1] (numeric) = -0.91551905279969692832194441001013
absolute error = 3e-32
relative error = 3.2768296747357360013515433773448e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=152.5MB, alloc=4.4MB, time=17.49
TOP MAIN SOLVE Loop
x[1] = -0.413
y[1] (analytic) = -0.91592086958578561266649420400396
y[1] (numeric) = -0.91592086958578561266649420400393
absolute error = 3e-32
relative error = 3.2753921213267195678294119765298e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.412
y[1] (analytic) = -0.91632177045108103796201925571231
y[1] (numeric) = -0.91632177045108103796201925571228
absolute error = 3e-32
relative error = 3.2739591012043500072944268824100e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.411
y[1] (analytic) = -0.91672175499468237232149859728209
y[1] (numeric) = -0.91672175499468237232149859728207
absolute error = 2e-32
relative error = 2.1816870703713161029447099224486e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.41
y[1] (analytic) = -0.91712082281660510547564205827702
y[1] (numeric) = -0.91712082281660510547564205827699
absolute error = 3e-32
relative error = 3.2711066256096818058852601338495e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.409
y[1] (analytic) = -0.91751897351778144875736720292634
y[1] (numeric) = -0.91751897351778144875736720292631
absolute error = 3e-32
relative error = 3.2696871526241633906037056593896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.408
y[1] (analytic) = -0.91791620670006073416955474155938
y[1] (numeric) = -0.91791620670006073416955474155935
absolute error = 3e-32
relative error = 3.2682721778985684230030889854165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.407
y[1] (analytic) = -0.91831252196620981253568334850355
y[1] (numeric) = -0.91831252196620981253568334850352
absolute error = 3e-32
relative error = 3.2668616927673647349203892092609e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.406
y[1] (analytic) = -0.9187079189199134507329457358444
y[1] (numeric) = -0.91870791891991345073294573584437
absolute error = 3e-32
relative error = 3.2654556886011984815432319025248e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.405
y[1] (analytic) = -0.91910239716577472800744874996453
y[1] (numeric) = -0.9191023971657747280074487499645
absolute error = 3e-32
relative error = 3.2640541568067549169429244038805e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.404
y[1] (analytic) = -0.91949595630931543137110117569449
y[1] (numeric) = -0.91949595630931543137110117569446
absolute error = 3e-32
relative error = 3.2626570888266199347521794745745e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.403
y[1] (analytic) = -0.91988859595697645007979385122064
y[1] (numeric) = -0.91988859595697645007979385122061
absolute error = 3e-32
relative error = 3.2612644761391423695746820045308e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.402
y[1] (analytic) = -0.92028031571611816919247761560285
y[1] (numeric) = -0.92028031571611816919247761560283
absolute error = 2e-32
relative error = 2.1732508735055313698297090249359e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.401
y[1] (analytic) = -0.92067111519502086221074552985688
y[1] (numeric) = -0.92067111519502086221074552985686
absolute error = 2e-32
relative error = 2.1723283884890324213896832446833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.4
y[1] (analytic) = -0.9210609940028850827985267320518
y[1] (numeric) = -0.92106099400288508279852673205178
absolute error = 2e-32
relative error = 2.1714088567664774062278599103175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.399
y[1] (analytic) = -0.92144995174983205558150020676146
y[1] (numeric) = -0.92144995174983205558150020676144
absolute error = 2e-32
relative error = 2.1704922727512254406741906904415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=156.4MB, alloc=4.4MB, time=17.94
TOP MAIN SOLVE Loop
x[1] = -0.398
y[1] (analytic) = -0.92183798804690406602583766948861
y[1] (numeric) = -0.92183798804690406602583766948859
absolute error = 2e-32
relative error = 2.1695786308800261121902873474963e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.397
y[1] (analytic) = -0.92222510250606484939588568735141
y[1] (numeric) = -0.92222510250606484939588568735139
absolute error = 2e-32
relative error = 2.1686679256129306625997742787701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.396
y[1] (analytic) = -0.92261129474019997879039807838253
y[1] (numeric) = -0.92261129474019997879039807838251
absolute error = 2e-32
relative error = 2.1677601514332036584482484402148e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.395
y[1] (analytic) = -0.92299656436311725225693055324085
y[1] (numeric) = -0.92299656436311725225693055324083
absolute error = 2e-32
relative error = 2.1668553028472351457114989502150e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.394
y[1] (analytic) = -0.92338091098954707898401048497331
y[1] (numeric) = -0.92338091098954707898401048497328
absolute error = 3e-32
relative error = 3.2489300615766799291350468331068e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.393
y[1] (analytic) = -0.92376433423514286457069561468935
y[1] (numeric) = -0.92376433423514286457069561468933
absolute error = 2e-32
relative error = 2.1650543605972374721471870564276e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.392
y[1] (analytic) = -0.92414683371648139537313642362145
y[1] (numeric) = -0.92414683371648139537313642362142
absolute error = 3e-32
relative error = 3.2462373840912478778508809816595e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.391
y[1] (analytic) = -0.92452840905106322192775782504114
y[1] (numeric) = -0.92452840905106322192775782504111
absolute error = 3e-32
relative error = 3.2448975830598895902433733407071e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.39
y[1] (analytic) = -0.9249090598573130414506767528811
y[1] (numeric) = -0.92490905985731304145067675288108
absolute error = 2e-32
relative error = 2.1623747531552374206082103360578e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.389
y[1] (analytic) = -0.92528878575458007941297314767738
y[1] (numeric) = -0.92528878575458007941297314767736
absolute error = 2e-32
relative error = 2.1614873440500899492438425199386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.388
y[1] (analytic) = -0.92566758636313847019143276459259
y[1] (numeric) = -0.92566758636313847019143276459257
absolute error = 2e-32
relative error = 2.1606028227236661566162223461015e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.387
y[1] (analytic) = -0.92604546130418763679438115280913
y[1] (numeric) = -0.92604546130418763679438115280911
absolute error = 2e-32
relative error = 2.1597211838642547128100109657835e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.386
y[1] (analytic) = -0.92642241019985266966222908048989
y[1] (numeric) = -0.92642241019985266966222908048987
absolute error = 2e-32
relative error = 2.1588424221825005059482037320620e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.385
y[1] (analytic) = -0.92679843267318470454235060479278
y[1] (numeric) = -0.92679843267318470454235060479276
absolute error = 2e-32
relative error = 2.1579665324113214916039086279442e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.384
y[1] (analytic) = -0.92717352834816129943791591209232
y[1] (numeric) = -0.9271735283481612994379159120923
absolute error = 2e-32
relative error = 2.1570935093058259972139643108382e-30 %
Correct digits = 31
h = 0.001
memory used=160.2MB, alloc=4.4MB, time=18.38
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.383
y[1] (analytic) = -0.92754769684968681063030197960704
y[1] (numeric) = -0.92754769684968681063030197960702
absolute error = 2e-32
relative error = 2.1562233476432304789363959907495e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.382
y[1] (analytic) = -0.9279209378035927677747050360532
y[1] (numeric) = -0.92792093780359276777470503605318
absolute error = 2e-32
relative error = 2.1553560422227777284114282620204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.381
y[1] (analytic) = -0.92829325083663824806857972574377
y[1] (numeric) = -0.92829325083663824806857972574375
absolute error = 2e-32
relative error = 2.1544915878656555269033631973377e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.38
y[1] (analytic) = -0.92866463557651024949253080772456
y[1] (numeric) = -0.92866463557651024949253080772454
absolute error = 2e-32
relative error = 2.1536299794149157443180906061186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.379
y[1] (analytic) = -0.92903509165182406312328414908702
y[1] (numeric) = -0.929035091651824063123284149087
absolute error = 2e-32
relative error = 2.1527712117353938806083264650535e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.378
y[1] (analytic) = -0.92940461869212364451836469951764
y[1] (numeric) = -0.92940461869212364451836469951762
absolute error = 2e-32
relative error = 2.1519152797136290470958762441867e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.377
y[1] (analytic) = -0.92977321632788198417211006243701
y[1] (numeric) = -0.92977321632788198417211006243699
absolute error = 2e-32
relative error = 2.1510621782577843852572932650619e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.376
y[1] (analytic) = -0.93014088419050147704264920674576
y[1] (numeric) = -0.93014088419050147704264920674574
absolute error = 2e-32
relative error = 2.1502119022975679205362494158054e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.375
y[1] (analytic) = -0.93050762191231429114947679222956
y[1] (numeric) = -0.93050762191231429114947679222954
absolute error = 2e-32
relative error = 2.1493644467841538487627575793853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.374
y[1] (analytic) = -0.93087342912658273524125451107944
y[1] (numeric) = -0.93087342912658273524125451107943
absolute error = 1e-32
relative error = 1.0742599033450521263880415318746e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.373
y[1] (analytic) = -0.93123830546749962553347177775691
y[1] (numeric) = -0.9312383054674996255334717777569
absolute error = 1e-32
relative error = 1.0738389885046456234323781022573e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.372
y[1] (analytic) = -0.93160225057018865151559902957351
y[1] (numeric) = -0.9316022505701886515155990295735
absolute error = 1e-32
relative error = 1.0734194763784097733267755906296e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.371
y[1] (analytic) = -0.93196526407070474082736783086223
y[1] (numeric) = -0.93196526407070474082736783086221
absolute error = 2e-32
relative error = 2.1460027289689494620836279766311e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.37
y[1] (analytic) = -0.93232734560603442320381290449088
y[1] (numeric) = -0.93232734560603442320381290449086
absolute error = 2e-32
relative error = 2.1451693007030203111482463335611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=164.0MB, alloc=4.4MB, time=18.81
x[1] = -0.369
y[1] (analytic) = -0.9326884948140961934887121457059
y[1] (numeric) = -0.93268849481409619348871214570588
absolute error = 2e-32
relative error = 2.1443386630373742520625535405678e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.368
y[1] (analytic) = -0.93304871133374087371606160489668
y[1] (numeric) = -0.93304871133374087371606160489666
absolute error = 2e-32
relative error = 2.1435108110712805315619229001641e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.367
y[1] (analytic) = -0.93340799480475197425922335783568
y[1] (numeric) = -0.93340799480475197425922335783567
absolute error = 1e-32
relative error = 1.0713428699624300735195889016065e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.366
y[1] (analytic) = -0.93376634486784605404738511427659
y[1] (numeric) = -0.93376634486784605404738511427657
absolute error = 2e-32
relative error = 2.1418634447390109202467784263031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.365
y[1] (analytic) = -0.93412376116467307984897134848078
y[1] (numeric) = -0.93412376116467307984897134848077
absolute error = 1e-32
relative error = 1.0705219603376664901528375822412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.364
y[1] (analytic) = -0.93448024333781678462164666829116
y[1] (numeric) = -0.93448024333781678462164666829115
absolute error = 1e-32
relative error = 1.0701135814580273268890229869095e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.363
y[1] (analytic) = -0.93483579103079502492855307277957
y[1] (numeric) = -0.93483579103079502492855307277955
absolute error = 2e-32
relative error = 2.1394131666639587595765347843993e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.362
y[1] (analytic) = -0.93519040388806013742042368226048
y[1] (numeric) = -0.93519040388806013742042368226046
absolute error = 2e-32
relative error = 2.1386019271423093064978960029775e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.361
y[1] (analytic) = -0.93554408155499929438321645858698
y[1] (numeric) = -0.93554408155499929438321645858695
absolute error = 3e-32
relative error = 3.2066901593921678867761901932676e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.36
y[1] (analytic) = -0.93589682367793485835091236812474
y[1] (numeric) = -0.93589682367793485835091236812472
absolute error = 2e-32
relative error = 2.1369876992853746943292352547215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.359
y[1] (analytic) = -0.93624862990412473578312337463565
y[1] (numeric) = -0.93624862990412473578312337463563
absolute error = 2e-32
relative error = 2.1361847014983693729647496396533e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.358
y[1] (analytic) = -0.93659949988176272980715658449232
y[1] (numeric) = -0.9365994998817627298071565844923
absolute error = 2e-32
relative error = 2.1353844415382263466719225378625e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.357
y[1] (analytic) = -0.9369494332599788920241818021889
y[1] (numeric) = -0.93694943325997889202418180218888
absolute error = 2e-32
relative error = 2.1345869147295299755833249527566e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.356
y[1] (analytic) = -0.93729842968883987337915069000988
y[1] (numeric) = -0.93729842968883987337915069000986
absolute error = 2e-32
relative error = 2.1337921164169143280511598573652e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.355
y[1] (analytic) = -0.93764648881934927409411666196697
y[1] (numeric) = -0.93764648881934927409411666196695
absolute error = 2e-32
relative error = 2.1330000419649926358741535716774e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=167.8MB, alloc=4.4MB, time=19.26
TOP MAIN SOLVE Loop
x[1] = -0.354
y[1] (analytic) = -0.93799361030344799266460557871336
y[1] (numeric) = -0.93799361030344799266460557871334
absolute error = 2e-32
relative error = 2.1322106867582871349893072961513e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.353
y[1] (analytic) = -0.93833979379401457391868824709369
y[1] (numeric) = -0.93833979379401457391868824709367
absolute error = 2e-32
relative error = 2.1314240462011592895491111435640e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.352
y[1] (analytic) = -0.93868503894486555613840666528628
y[1] (numeric) = -0.93868503894486555613840666528625
absolute error = 3e-32
relative error = 3.1959601735766105959785598826416e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.351
y[1] (analytic) = -0.93902934541075581724320689214026
y[1] (numeric) = -0.93902934541075581724320689214023
absolute error = 3e-32
relative error = 3.1947883361277938615163968850512e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.35
y[1] (analytic) = -0.93937271284737892003503235730367
y[1] (numeric) = -0.93937271284737892003503235730364
absolute error = 3e-32
relative error = 3.1936205501504851752727898897026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.349
y[1] (analytic) = -0.93971514091136745650473236707785
y[1] (numeric) = -0.93971514091136745650473236707782
absolute error = 3e-32
relative error = 3.1924568088692268575130525195615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.348
y[1] (analytic) = -0.94005662926029339119944149961845
y[1] (numeric) = -0.94005662926029339119944149961843
absolute error = 2e-32
relative error = 2.1275314036918701799290595057299e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.347
y[1] (analytic) = -0.94039717755266840365058652213218
y[1] (numeric) = -0.94039717755266840365058652213215
absolute error = 3e-32
relative error = 3.1901414334391495377294092058019e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.346
y[1] (analytic) = -0.94073678544794422986217840209091
y[1] (numeric) = -0.94073678544794422986217840209088
absolute error = 3e-32
relative error = 3.1889897858852308260947689817819e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.345
y[1] (analytic) = -0.9410754526065130028590479241997
y[1] (numeric) = -0.94107545260651300285904792419967
absolute error = 3e-32
relative error = 3.1878421562169621668042278568718e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.344
y[1] (analytic) = -0.94141317868970759229468436491135
y[1] (numeric) = -0.94141317868970759229468436491133
absolute error = 2e-32
relative error = 2.1244656918693992222276878524492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.343
y[1] (analytic) = -0.94174996335980194311833761667723
y[1] (numeric) = -0.9417499633598019431183376166772
absolute error = 3e-32
relative error = 3.1855589240451392608237331286135e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.342
y[1] (analytic) = -0.94208580628001141330104509486035
y[1] (numeric) = -0.94208580628001141330104509486032
absolute error = 3e-32
relative error = 3.1844233083672265081078009210880e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.341
y[1] (analytic) = -0.9424207071144931106202457013121
y[1] (numeric) = -0.94242070711449311062024570131207
absolute error = 3e-32
relative error = 3.1832916842260502591666829532513e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.34
y[1] (analytic) = -0.94275466552834622850264406002658
y[1] (numeric) = -0.94275466552834622850264406002655
absolute error = 3e-32
relative error = 3.1821640451057493608813482866853e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=171.6MB, alloc=4.4MB, time=19.71
TOP MAIN SOLVE Loop
x[1] = -0.339
y[1] (analytic) = -0.94308768118761238092498918203633
y[1] (numeric) = -0.9430876811876123809249891820363
absolute error = 3e-32
relative error = 3.1810403845188148944147665518905e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.338
y[1] (analytic) = -0.9434197537592759363724326587988
y[1] (numeric) = -0.94341975375927593637243265879876
absolute error = 4e-32
relative error = 4.2398942613413250364707614137440e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.337
y[1] (analytic) = -0.94375088291126435085413242574299
y[1] (numeric) = -0.94375088291126435085413242574295
absolute error = 4e-32
relative error = 4.2384066308482571917577422985958e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.336
y[1] (analytic) = -0.94408106831244849997576908040049
y[1] (numeric) = -0.94408106831244849997576908040046
absolute error = 3e-32
relative error = 3.1776932095063837497761824471090e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.335
y[1] (analytic) = -0.9444103096326430100686426826321
y[1] (numeric) = -0.94441030963264301006864268263207
absolute error = 3e-32
relative error = 3.1765853987415076507811320857704e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.334
y[1] (analytic) = -0.94473860654260658837501890788084
y[1] (numeric) = -0.94473860654260658837501890788081
absolute error = 3e-32
relative error = 3.1754815344943813994197393756431e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.333
y[1] (analytic) = -0.94506595871404235228939436813284
y[1] (numeric) = -0.94506595871404235228939436813281
absolute error = 3e-32
relative error = 3.1743816104456035097322015078697e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.332
y[1] (analytic) = -0.94539236581959815765535185934806
y[1] (numeric) = -0.94539236581959815765535185934803
absolute error = 3e-32
relative error = 3.1732856203034609359099943701136e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.331
y[1] (analytic) = -0.94571782753286692611767723853306
y[1] (numeric) = -0.94571782753286692611767723853303
absolute error = 3e-32
relative error = 3.1721935578038363125862609494092e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.33
y[1] (analytic) = -0.94604234352838697152941057836621
y[1] (numeric) = -0.94604234352838697152941057836618
absolute error = 3e-32
relative error = 3.1711054167101157040536740810076e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.329
y[1] (analytic) = -0.9463659134816423254135051923513
y[1] (numeric) = -0.94636591348164232541350519235128
absolute error = 2e-32
relative error = 2.1133474605420645731750844564699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.328
y[1] (analytic) = -0.94668853706906306147876906886782
y[1] (numeric) = -0.9466885370690630614787690688678
absolute error = 2e-32
relative error = 2.1126272492872653156470519384521e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.327
y[1] (analytic) = -0.94701021396802561918976419820327
y[1] (numeric) = -0.94701021396802561918976419820325
absolute error = 2e-32
relative error = 2.1119096399392446289541554882507e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.326
y[1] (analytic) = -0.94733094385685312639034022269541
y[1] (numeric) = -0.94733094385685312639034022269539
absolute error = 2e-32
relative error = 2.1111946284129940873533077614501e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.325
y[1] (analytic) = -0.94765072641481572098047978647747
y[1] (numeric) = -0.94765072641481572098047978647745
absolute error = 2e-32
relative error = 2.1104822106415384101929695933287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=175.4MB, alloc=4.4MB, time=20.16
TOP MAIN SOLVE Loop
x[1] = -0.324
y[1] (analytic) = -0.9479695613221308716461339080079
y[1] (numeric) = -0.94796956132213087164613390800788
absolute error = 2e-32
relative error = 2.1097723825758759604580725337327e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.323
y[1] (analytic) = -0.94828744825996369764172664557596
y[1] (numeric) = -0.94828744825996369764172664557594
absolute error = 2e-32
relative error = 2.1090651401849195704953185746421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.322
y[1] (analytic) = -0.94860438691042728762500927330517
y[1] (numeric) = -0.94860438691042728762500927330514
absolute error = 3e-32
relative error = 3.1625407191831565398543631218562e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.321
y[1] (analytic) = -0.94892037695658301754394513282693
y[1] (numeric) = -0.9489203769565830175439451328269
absolute error = 3e-32
relative error = 3.1614875945879938158702455916793e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.32
y[1] (analytic) = -0.94923541808244086757530727376609
y[1] (numeric) = -0.94923541808244086757530727376607
absolute error = 2e-32
relative error = 2.1069588870168985639438319667824e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.319
y[1] (analytic) = -0.94954950997295973811467194446714
y[1] (numeric) = -0.94954950997295973811467194446712
absolute error = 2e-32
relative error = 2.1062619473701312053291348712343e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.318
y[1] (analytic) = -0.94986265231404776481749194299381
y[1] (numeric) = -0.9498626523140477648174919429938
absolute error = 1e-32
relative error = 1.0527837867546513503023873639486e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.317
y[1] (analytic) = -0.95017484479256263269093478735519
y[1] (numeric) = -0.95017484479256263269093478735518
absolute error = 1e-32
relative error = 1.0524378807547940750211150800993e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.316
y[1] (analytic) = -0.95048608709631188923617161314611
y[1] (numeric) = -0.95048608709631188923617161314609
absolute error = 2e-32
relative error = 2.1041865074636719244906864546751e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.315
y[1] (analytic) = -0.95079637891405325664080365633916
y[1] (numeric) = -0.95079637891405325664080365633915
absolute error = 1e-32
relative error = 1.0517499037408455244599473898110e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.314
y[1] (analytic) = -0.95110571993549494302111412882791
y[1] (numeric) = -0.9511057199354949430211141288279
absolute error = 1e-32
relative error = 1.0514078288455894492020628698043e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.313
y[1] (analytic) = -0.95141410985129595271383424449514
y[1] (numeric) = -0.95141410985129595271383424449513
absolute error = 1e-32
relative error = 1.0510670271185046024822564097550e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.312
y[1] (analytic) = -0.95172154835306639561711310406623
y[1] (numeric) = -0.95172154835306639561711310406622
absolute error = 1e-32
relative error = 1.0507274966406701868489020065411e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.311
y[1] (analytic) = -0.95202803513336779558038209780341
y[1] (numeric) = -0.9520280351333677955803820978034
absolute error = 1e-32
relative error = 1.0503892355017800533150946208257e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.31
y[1] (analytic) = -0.95233356988571339784280543620221
y[1] (numeric) = -0.95233356988571339784280543620219
absolute error = 2e-32
relative error = 2.1001044836002303327454476474836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=179.2MB, alloc=4.4MB, time=20.60
TOP MAIN SOLVE Loop
x[1] = -0.309
y[1] (analytic) = -0.95263815230456847552000937026516
y[1] (numeric) = -0.95263815230456847552000937026515
absolute error = 1e-32
relative error = 1.0497165136425162213235815439948e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.308
y[1] (analytic) = -0.95294178208535063513878361464923
y[1] (numeric) = -0.95294178208535063513878361464921
absolute error = 2e-32
relative error = 2.0987640982887128263251887501811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.307
y[1] (analytic) = -0.95324445892443012121944943901075
y[1] (numeric) = -0.95324445892443012121944943901073
absolute error = 2e-32
relative error = 2.0980976928590287125069033337796e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.306
y[1] (analytic) = -0.95354618251913011990558984520543
y[1] (numeric) = -0.95354618251913011990558984520541
absolute error = 2e-32
relative error = 2.0974338072606943080840922951499e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.305
y[1] (analytic) = -0.95384695256772706164083820063833
y[1] (numeric) = -0.95384695256772706164083820063831
absolute error = 2e-32
relative error = 2.0967724377753272361165087769283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.304
y[1] (analytic) = -0.95414676876945092289242265100057
y[1] (numeric) = -0.95414676876945092289242265100055
absolute error = 2e-32
relative error = 2.0961135807013952709233206390883e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.303
y[1] (analytic) = -0.95444563082448552692116458887338
y[1] (numeric) = -0.95444563082448552692116458887335
absolute error = 3e-32
relative error = 3.1431858485312450531755995309892e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.302
y[1] (analytic) = -0.95474353843396884359763040822611
y[1] (numeric) = -0.95474353843396884359763040822608
absolute error = 3e-32
relative error = 3.1422050835984614891671359855017e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.301
y[1] (analytic) = -0.95504049129999328826413672868155
y[1] (numeric) = -0.95504049129999328826413672868152
absolute error = 3e-32
relative error = 3.1412280707767945954660669654768e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.3
y[1] (analytic) = -0.95533648912560601964231022756805
y[1] (numeric) = -0.95533648912560601964231022756802
absolute error = 3e-32
relative error = 3.1402548046142568027983725367611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.299
y[1] (analytic) = -0.95563153161480923678590417222355
y[1] (numeric) = -0.95563153161480923678590417222352
absolute error = 3e-32
relative error = 3.1392852796837428893337910524478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.298
y[1] (analytic) = -0.95592561847256047507857469975975
y[1] (numeric) = -0.95592561847256047507857469975972
absolute error = 3e-32
relative error = 3.1383194905829527110568233858523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.297
y[1] (analytic) = -0.95621874940477290127632084653473
y[1] (numeric) = -0.95621874940477290127632084653469
absolute error = 4e-32
relative error = 4.1831432425790858167400637634482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.296
y[1] (analytic) = -0.9565109241183156075942932849186
y[1] (numeric) = -0.95651092411831560759429328491856
absolute error = 4e-32
relative error = 4.1818654645132103548129764938873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.295
y[1] (analytic) = -0.95680214232101390483767768056805
y[1] (numeric) = -0.95680214232101390483767768056801
absolute error = 4e-32
relative error = 4.1805926461418515826507467564227e-30 %
Correct digits = 31
h = 0.001
memory used=183.1MB, alloc=4.4MB, time=21.05
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.294
y[1] (analytic) = -0.95709240372164961457635953935068
y[1] (numeric) = -0.95709240372164961457635953935064
absolute error = 4e-32
relative error = 4.1793247803932175638006877708347e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.293
y[1] (analytic) = -0.95738170802996136036307836927879
y[1] (numeric) = -0.95738170802996136036307836927875
absolute error = 4e-32
relative error = 4.1780618602280832202681616615659e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.292
y[1] (analytic) = -0.95767005495664485799477993932263
y[1] (numeric) = -0.95767005495664485799477993932259
absolute error = 4e-32
relative error = 4.1768038786396907077629964394732e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.291
y[1] (analytic) = -0.9579574442133532048168763737751
y[1] (numeric) = -0.95795744421335320481687637377506
absolute error = 4e-32
relative error = 4.1755508286536503481995802232022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.29
y[1] (analytic) = -0.95824387551269716807012477793186
y[1] (numeric) = -0.95824387551269716807012477793182
absolute error = 4e-32
relative error = 4.1743027033278421167433489946422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.289
y[1] (analytic) = -0.95852934856824547227983604823229
y[1] (numeric) = -0.95852934856824547227983604823225
absolute error = 4e-32
relative error = 4.1730594957523176807147377673185e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.288
y[1] (analytic) = -0.95881386309452508568712647767644
y[1] (numeric) = -0.9588138630945250856871264776764
absolute error = 4e-32
relative error = 4.1718211990492029876798969086336e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.287
y[1] (analytic) = -0.95909741880702150572192572529021
y[1] (numeric) = -0.95909741880702150572192572529017
absolute error = 4e-32
relative error = 4.1705878063726014000755864826485e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.286
y[1] (analytic) = -0.95938001542217904351745567665462
y[1] (numeric) = -0.95938001542217904351745567665458
absolute error = 4e-32
relative error = 4.1693593109084973737336528474035e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.285
y[1] (analytic) = -0.95966165265740110746589568104396
y[1] (numeric) = -0.95966165265740110746589568104391
absolute error = 5e-32
relative error = 5.2101696323433258471104553991626e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.284
y[1] (analytic) = -0.95994233023105048581495060953123
y[1] (numeric) = -0.95994233023105048581495060953118
absolute error = 5e-32
relative error = 5.2086462306506889408345468358862e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.283
y[1] (analytic) = -0.96022204786244962830503913751647
y[1] (numeric) = -0.96022204786244962830503913751641
absolute error = 6e-32
relative error = 6.2485547101908360085302352320525e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.282
y[1] (analytic) = -0.96050080527188092684682061451294
y[1] (numeric) = -0.96050080527188092684682061451288
absolute error = 6e-32
relative error = 6.2467412490108534572718690379400e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.281
y[1] (analytic) = -0.96077860218058699523877984368792
y[1] (numeric) = -0.96077860218058699523877984368786
absolute error = 6e-32
relative error = 6.2449350832568250076966332516198e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=21.49
x[1] = -0.28
y[1] (analytic) = -0.96105543831077094792459005359648
y[1] (numeric) = -0.96105543831077094792459005359642
absolute error = 6e-32
relative error = 6.2431362029916682539742867435587e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.279
y[1] (analytic) = -0.96133131338559667778997530476856
y[1] (numeric) = -0.96133131338559667778997530476851
absolute error = 5e-32
relative error = 5.2011204986042779769026940279216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.278
y[1] (analytic) = -0.96160622712918913299879453431011
y[1] (numeric) = -0.96160622712918913299879453431006
absolute error = 5e-32
relative error = 5.1996335495113883552536303871111e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.277
y[1] (analytic) = -0.96188017926663459286807040245721
y[1] (numeric) = -0.96188017926663459286807040245716
absolute error = 5e-32
relative error = 5.1981526470502233784855662626246e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.276
y[1] (analytic) = -0.96215316952398094278168706607751
y[1] (numeric) = -0.96215316952398094278168706607746
absolute error = 5e-32
relative error = 5.1966777830953024443877042822450e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.275
y[1] (analytic) = -0.96242519762823794814248196544391
y[1] (numeric) = -0.96242519762823794814248196544386
absolute error = 5e-32
relative error = 5.1952089495597158491239553752646e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.274
y[1] (analytic) = -0.96269626330737752736245767221169
y[1] (numeric) = -0.96269626330737752736245767221164
absolute error = 5e-32
relative error = 5.1937461383950122949961302968602e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.273
y[1] (analytic) = -0.96296636629033402389084080840986
y[1] (numeric) = -0.96296636629033402389084080840981
absolute error = 5e-32
relative error = 5.1922893415910870372499959619266e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.272
y[1] (analytic) = -0.96323550630700447727971600841062
y[1] (numeric) = -0.96323550630700447727971600841057
absolute error = 5e-32
relative error = 5.1908385511760706669307433629268e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.271
y[1] (analytic) = -0.9635036830882488932869638582654
y[1] (numeric) = -0.96350368308824889328696385826535
absolute error = 5e-32
relative error = 5.1893937592162185268147975643591e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.27
y[1] (analytic) = -0.9637708963658905130162327094922
y[1] (numeric) = -0.96377089636589051301623270949215
absolute error = 5e-32
relative error = 5.1879549578158007574651525227801e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.269
y[1] (analytic) = -0.96403714587271608109367522736473
y[1] (numeric) = -0.96403714587271608109367522736467
absolute error = 6e-32
relative error = 6.2238265669403915645730424053562e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.268
y[1] (analytic) = -0.96430243134247611288118149698917
y[1] (numeric) = -0.96430243134247611288118149698912
absolute error = 5e-32
relative error = 5.1850952952997675460046970492360e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.267
y[1] (analytic) = -0.96456675250988516072584147395786
y[1] (numeric) = -0.9645667525098851607258414739578
absolute error = 6e-32
relative error = 6.2204093022981426619991895641064e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.266
y[1] (analytic) = -0.96483010911062207924537053013933
y[1] (numeric) = -0.96483010911062207924537053013928
absolute error = 5e-32
relative error = 5.1822595012182892799691391532775e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=190.7MB, alloc=4.4MB, time=21.93
TOP MAIN SOLVE Loop
x[1] = -0.265
y[1] (analytic) = -0.96509250088133028964923280920166
y[1] (numeric) = -0.9650925008813302896492328092016
absolute error = 6e-32
relative error = 6.2170206426023944816688267525831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.264
y[1] (analytic) = -0.9653539275596180430951980707674
y[1] (numeric) = -0.96535392755961804309519807076734
absolute error = 6e-32
relative error = 6.2153370165155864763373990231598e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.263
y[1] (analytic) = -0.96561438888405868308106866666555
y[1] (numeric) = -0.96561438888405868308106866666549
absolute error = 6e-32
relative error = 6.2136605140423399209363197581858e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.262
y[1] (analytic) = -0.96587388459419090687131425757517
y[1] (numeric) = -0.96587388459419090687131425757512
absolute error = 5e-32
relative error = 5.1766592717233838499466927700399e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.261
y[1] (analytic) = -0.96613241443051902595835284344793
y[1] (numeric) = -0.96613241443051902595835284344788
absolute error = 5e-32
relative error = 5.1752740362688484053263346553919e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.26
y[1] (analytic) = -0.96638997813451322555821764645006
y[1] (numeric) = -0.96638997813451322555821764645002
absolute error = 4e-32
relative error = 4.1391157715868139793612044471777e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.259
y[1] (analytic) = -0.96664657544860982314035035077869
y[1] (numeric) = -0.96664657544860982314035035077865
absolute error = 4e-32
relative error = 4.1380170391061954654262478828780e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.258
y[1] (analytic) = -0.9669022061162115259912621695806
y[1] (numeric) = -0.96690220611621152599126216958056
absolute error = 4e-32
relative error = 4.1369230256149005644991806430083e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.257
y[1] (analytic) = -0.96715686988168768781180517533403
y[1] (numeric) = -0.96715686988168768781180517533399
absolute error = 4e-32
relative error = 4.1358337251839198028468997794081e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.256
y[1] (analytic) = -0.96741056649037456434779729644346
y[1] (numeric) = -0.96741056649037456434779729644342
absolute error = 4e-32
relative error = 4.1347491319134757059811731427827e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.255
y[1] (analytic) = -0.96766329568857556805374534944369
y[1] (numeric) = -0.96766329568857556805374534944365
absolute error = 4e-32
relative error = 4.1336692399329421242198512832083e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.254
y[1] (analytic) = -0.96791505722356152178941144311144
y[1] (numeric) = -0.9679150572235615217894114431114
absolute error = 4e-32
relative error = 4.1325940434007640266716794695347e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.253
y[1] (analytic) = -0.96816585084357091154896905793918
y[1] (numeric) = -0.96816585084357091154896905793914
absolute error = 4e-32
relative error = 4.1315235365043777615425928445204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.252
y[1] (analytic) = -0.96841567629781013822249607183617
y[1] (numeric) = -0.96841567629781013822249607183613
absolute error = 4e-32
relative error = 4.1304577134601317806758252855548e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.251
y[1] (analytic) = -0.9686645333364537683895529705847
y[1] (numeric) = -0.96866453333645376838955297058466
absolute error = 4e-32
relative error = 4.1293965685132078262525199413941e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=194.5MB, alloc=4.4MB, time=22.37
TOP MAIN SOLVE Loop
x[1] = -0.25
y[1] (analytic) = -0.96891242171064478414459544949419
y[1] (numeric) = -0.96891242171064478414459544949415
absolute error = 4e-32
relative error = 4.1283400959375425775937973919503e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.249
y[1] (analytic) = -0.96915934117249483195397158086133
y[1] (numeric) = -0.96915934117249483195397158086129
absolute error = 4e-32
relative error = 4.1272882900357497560194166535524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.248
y[1] (analytic) = -0.96940529147508447054425469025992
y[1] (numeric) = -0.96940529147508447054425469025988
absolute error = 4e-32
relative error = 4.1262411451390426857322555432144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.247
y[1] (analytic) = -0.96965027237246341782166405334813
y[1] (numeric) = -0.96965027237246341782166405334809
absolute error = 4e-32
relative error = 4.1251986556071573087118409336230e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.246
y[1] (analytic) = -0.96989428361965079682232649379306
y[1] (numeric) = -0.96989428361965079682232649379302
absolute error = 4e-32
relative error = 4.1241608158282756516140768814606e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.245
y[1] (analytic) = -0.97013732497263538069313293207151
y[1] (numeric) = -0.97013732497263538069313293207147
absolute error = 4e-32
relative error = 4.1231276202189497426881501954379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.244
y[1] (analytic) = -0.97037939618837583670294490431084
y[1] (numeric) = -0.9703793961883758367029449043108
absolute error = 4e-32
relative error = 4.1220990632240259767353394216018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.243
y[1] (analytic) = -0.97062049702480096928390703998371
y[1] (numeric) = -0.97062049702480096928390703998367
absolute error = 4e-32
relative error = 4.1210751393165699261481151512520e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.242
y[1] (analytic) = -0.9708606272408099621026224571645
y[1] (numeric) = -0.97086062724080996210262245716446
absolute error = 4e-32
relative error = 4.1200558429977915960814976848374e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.241
y[1] (analytic) = -0.97109978659627261916094900419216
y[1] (numeric) = -0.97109978659627261916094900419213
absolute error = 3e-32
relative error = 3.0892808765977283413665998189032e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.24
y[1] (analytic) = -0.97133797485202960492617524696338
y[1] (numeric) = -0.97133797485202960492617524696335
absolute error = 3e-32
relative error = 3.0885233334535386798254709489162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.239
y[1] (analytic) = -0.97157519176989268349033607170002
y[1] (numeric) = -0.97157519176989268349033607169999
absolute error = 3e-32
relative error = 3.0877692487546741475795102594162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.238
y[1] (analytic) = -0.97181143711264495675842874389526
y[1] (numeric) = -0.97181143711264495675842874389524
absolute error = 2e-32
relative error = 2.0580124123072810479872307770368e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.237
y[1] (analytic) = -0.97204671064404110166529123524216
y[1] (numeric) = -0.97204671064404110166529123524214
absolute error = 2e-32
relative error = 2.0575142923686005052687688307275e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.236
y[1] (analytic) = -0.97228101212880760642090560168606
y[1] (numeric) = -0.97228101212880760642090560168604
absolute error = 2e-32
relative error = 2.0570184700213402650641888651241e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=198.3MB, alloc=4.4MB, time=22.82
TOP MAIN SOLVE Loop
x[1] = -0.235
y[1] (analytic) = -0.97251434133264300578389016731721
y[1] (numeric) = -0.97251434133264300578389016731719
absolute error = 2e-32
relative error = 2.0565249426135828691285854870897e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.234
y[1] (analytic) = -0.97274669802221811536294524063099
y[1] (numeric) = -0.97274669802221811536294524063097
absolute error = 2e-32
relative error = 2.0560337075071919759901371534995e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.233
y[1] (analytic) = -0.97297808196517626494601806172955
y[1] (numeric) = -0.97297808196517626494601806172953
absolute error = 2e-32
relative error = 2.0555447620777769444000659864397e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.232
y[1] (analytic) = -0.97320849293013353085695365131938
y[1] (numeric) = -0.97320849293013353085695365131936
absolute error = 2e-32
relative error = 2.0550581037146576294729761161035e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.231
y[1] (analytic) = -0.97343793068667896733939920487326
y[1] (numeric) = -0.97343793068667896733939920487324
absolute error = 2e-32
relative error = 2.0545737298208293906155630166519e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.23
y[1] (analytic) = -0.9736663950053748369677306480716
y[1] (numeric) = -0.97366639500537483696773064807157
absolute error = 3e-32
relative error = 3.0811374567193924655219974185198e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.229
y[1] (analytic) = -0.97389388565775684008477094261565
y[1] (numeric) = -0.97389388565775684008477094261562
absolute error = 3e-32
relative error = 3.0804177376817949346928528285760e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.228
y[1] (analytic) = -0.97412040241633434326607070471358
y[1] (numeric) = -0.97412040241633434326607070471355
absolute error = 3e-32
relative error = 3.0797014337841725299475764343464e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.227
y[1] (analytic) = -0.97434594505459060681052267197768
y[1] (numeric) = -0.97434594505459060681052267197765
absolute error = 3e-32
relative error = 3.0789885412125527419037606315488e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.226
y[1] (analytic) = -0.9745705133469830112570825281373
y[1] (numeric) = -0.97457051334698301125708252813727
absolute error = 3e-32
relative error = 3.0782790561732185956250111910124e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.225
y[1] (analytic) = -0.97479410706894328292736956886549
y[1] (numeric) = -0.97479410706894328292736956886546
absolute error = 3e-32
relative error = 3.0775729748926580407223871677454e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.224
y[1] (analytic) = -0.97501672599687771849392166613751
y[1] (numeric) = -0.97501672599687771849392166613748
absolute error = 3e-32
relative error = 3.0768702936175136499292872395723e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.223
y[1] (analytic) = -0.97523836990816740857387996288501
y[1] (numeric) = -0.97523836990816740857387996288497
absolute error = 4e-32
relative error = 4.1015613448193768331612765339395e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.222
y[1] (analytic) = -0.97545903858116846034787970427966
y[1] (numeric) = -0.97545903858116846034787970427962
absolute error = 4e-32
relative error = 4.1006334882273561436784310515180e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.221
y[1] (analytic) = -0.97567873179521221920392458677419
y[1] (numeric) = -0.97567873179521221920392458677415
absolute error = 4e-32
relative error = 4.0997101501230330636651011060881e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=202.1MB, alloc=4.4MB, time=23.26
TOP MAIN SOLVE Loop
x[1] = -0.22
y[1] (analytic) = -0.9758974493306054894060229810447
y[1] (numeric) = -0.97589744933060548940602298104466
absolute error = 4e-32
relative error = 4.0987913256087598276158156673322e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.219
y[1] (analytic) = -0.97611519096863075378736536021661
y[1] (numeric) = -0.97611519096863075378736536021657
absolute error = 4e-32
relative error = 4.0978770098134322682310684096144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.218
y[1] (analytic) = -0.97633195649154639246782324021503
y[1] (numeric) = -0.976331956491546392467823240215
absolute error = 3e-32
relative error = 3.0727253984193188851873746788527e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.217
y[1] (analytic) = -0.97654774568258690059555091475888
y[1] (numeric) = -0.97654774568258690059555091475884
absolute error = 4e-32
relative error = 4.0960618850275280838946484772378e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.216
y[1] (analytic) = -0.97676255832596310511247224341507
y[1] (numeric) = -0.97676255832596310511247224341503
absolute error = 4e-32
relative error = 4.0951610664268813863069785436694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.215
y[1] (analytic) = -0.97697639420686238054343572724421
y[1] (numeric) = -0.97697639420686238054343572724417
absolute error = 4e-32
relative error = 4.0942647373249129393620987950015e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.214
y[1] (analytic) = -0.97718925311144886380882208290055
y[1] (numeric) = -0.97718925311144886380882208290051
absolute error = 4e-32
relative error = 4.0933728929822749922642614076807e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.213
y[1] (analytic) = -0.97740113482686366806038950259663
y[1] (numeric) = -0.97740113482686366806038950259658
absolute error = 5e-32
relative error = 5.1156069108572269216678802895831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.212
y[1] (analytic) = -0.97761203914122509554014276410505
y[1] (numeric) = -0.97761203914122509554014276410501
absolute error = 4e-32
relative error = 4.0916026397483460474132310618036e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.211
y[1] (analytic) = -0.97782196584362884946201333194623
y[1] (numeric) = -0.97782196584362884946201333194618
absolute error = 5e-32
relative error = 5.1134052768861495041457265487077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.21
y[1] (analytic) = -0.97803091472414824491613856809935
y[1] (numeric) = -0.9780309147241482449161385680993
absolute error = 5e-32
relative error = 5.1123128366655367622320430828974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.209
y[1] (analytic) = -0.97823888557383441879552914797525
y[1] (numeric) = -0.97823888557383441879552914797521
absolute error = 4e-32
relative error = 4.0889807786097176983926603985937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.208
y[1] (analytic) = -0.97844587818471653874491475500107
y[1] (numeric) = -0.97844587818471653874491475500102
absolute error = 5e-32
relative error = 5.1101446809468512698356534937618e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.207
y[1] (analytic) = -0.97865189234980201113155910498837
y[1] (numeric) = -0.97865189234980201113155910498833
absolute error = 4e-32
relative error = 4.0872551632182098963319853422517e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.206
y[1] (analytic) = -0.9788569278630766880378363294873
y[1] (numeric) = -0.97885692786307668803783632948725
memory used=206.0MB, alloc=4.4MB, time=23.71
absolute error = 5e-32
relative error = 5.1079987868251611448888014651441e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.205
y[1] (analytic) = -0.97906098451950507327536172556728
y[1] (numeric) = -0.97906098451950507327536172556723
absolute error = 5e-32
relative error = 5.1069341737214214103218764175905e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.204
y[1] (analytic) = -0.97926406211503052742047085791098
y[1] (numeric) = -0.97926406211503052742047085791093
absolute error = 5e-32
relative error = 5.1058751091109360993336594348707e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.203
y[1] (analytic) = -0.97946616044657547187084197775936
y[1] (numeric) = -0.97946616044657547187084197775931
absolute error = 5e-32
relative error = 5.1048215874250437511584887040190e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.202
y[1] (analytic) = -0.97966727931204159192305770210243
y[1] (numeric) = -0.97966727931204159192305770210238
absolute error = 5e-32
relative error = 5.1037736031269554732830723694888e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.201
y[1] (analytic) = -0.97986741851031003887090287557097
y[1] (numeric) = -0.97986741851031003887090287557092
absolute error = 5e-32
relative error = 5.1027311507116823718416101160343e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.2
y[1] (analytic) = -0.98006657784124163112419651674817
y[1] (numeric) = -0.98006657784124163112419651674812
absolute error = 5e-32
relative error = 5.1016942247059634489621638842459e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.199
y[1] (analytic) = -0.98026475710567705434795673008606
y[1] (numeric) = -0.98026475710567705434795673008601
absolute error = 5e-32
relative error = 5.1006628196681939652710803804265e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.198
y[1] (analytic) = -0.9804619561054370606216984442784
y[1] (numeric) = -0.98046195610543706062169844427836
absolute error = 4e-32
relative error = 4.0797095441506834126203084082503e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.197
y[1] (analytic) = -0.98065817464332266661866481780904
y[1] (numeric) = -0.98065817464332266661866481780899
absolute error = 5e-32
relative error = 5.0986165508879390673561159674887e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.196
y[1] (analytic) = -0.98085341252311535080479413246059
y[1] (numeric) = -0.98085341252311535080479413246055
absolute error = 4e-32
relative error = 4.0780813411359097648948212362699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.195
y[1] (analytic) = -0.98104766954957724965722497583334
y[1] (numeric) = -0.9810476695495772496572249758333
absolute error = 4e-32
relative error = 4.0772738411748094742864111318637e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.194
y[1] (analytic) = -0.98124094552845135290214349438516
y[1] (numeric) = -0.98124094552845135290214349438512
absolute error = 4e-32
relative error = 4.0764707365995448999307433710607e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.193
y[1] (analytic) = -0.98143324026646169777177747916177
y[1] (numeric) = -0.98143324026646169777177747916173
absolute error = 4e-32
relative error = 4.0756720232075994421537707336937e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.192
y[1] (analytic) = -0.98162455357131356228034302723921
y[1] (numeric) = -0.98162455357131356228034302723917
absolute error = 4e-32
relative error = 4.0748776968213906393315853488982e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=209.8MB, alloc=4.4MB, time=24.15
x[1] = -0.191
y[1] (analytic) = -0.98181488525169365751875050294814
y[1] (numeric) = -0.9818148852516936575187505029481
absolute error = 4e-32
relative error = 4.0740877532882157845086450518814e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.19
y[1] (analytic) = -0.98200423511727031896787750418991
y[1] (numeric) = -0.98200423511727031896787750418988
absolute error = 3e-32
relative error = 3.0549766413601484262726018432351e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.189
y[1] (analytic) = -0.98219260297869369683021752058749
y[1] (numeric) = -0.98219260297869369683021752058745
absolute error = 4e-32
relative error = 4.0725209982942320805229706096757e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.188
y[1] (analytic) = -0.98237998864759594537971395183828
y[1] (numeric) = -0.98237998864759594537971395183824
absolute error = 4e-32
relative error = 4.0717441786519321679031954066031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.187
y[1] (analytic) = -0.98256639193659141132959013645082
y[1] (numeric) = -0.98256639193659141132959013645079
absolute error = 3e-32
relative error = 3.0532287941246833615730911007569e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.186
y[1] (analytic) = -0.98275181265927682121798702305087
y[1] (numeric) = -0.98275181265927682121798702305084
absolute error = 3e-32
relative error = 3.0526527261060464108820013380787e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.185
y[1] (analytic) = -0.98293625063023146781122109863481
y[1] (numeric) = -0.98293625063023146781122109863477
absolute error = 4e-32
relative error = 4.0694399025728381846045128643588e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.184
y[1] (analytic) = -0.98311970566501739552447617052807
y[1] (numeric) = -0.98311970566501739552447617052804
absolute error = 3e-32
relative error = 3.0515103936104022099987724199232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.183
y[1] (analytic) = -0.98330217758017958485974358137227
y[1] (numeric) = -0.98330217758017958485974358137224
absolute error = 3e-32
relative error = 3.0509441231816824353295183452233e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.182
y[1] (analytic) = -0.98348366619324613586082641921602
y[1] (numeric) = -0.98348366619324613586082641921598
absolute error = 4e-32
relative error = 4.0671748169267858310912044432350e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.181
y[1] (analytic) = -0.98366417132272845058522426772069
y[1] (numeric) = -0.98366417132272845058522426772065
absolute error = 4e-32
relative error = 4.0664284789606795971929220890704e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.18
y[1] (analytic) = -0.98384369278812141459271602461153
y[1] (numeric) = -0.9838436927881214145927160246115
absolute error = 3e-32
relative error = 3.0492648598460588241391744893930e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.179
y[1] (analytic) = -0.98402223040990357745045929980641
y[1] (numeric) = -0.98402223040990357745045929980637
absolute error = 4e-32
relative error = 4.0649488155707243914037925528080e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.178
y[1] (analytic) = -0.98419978400953733225442588813777
y[1] (numeric) = -0.98419978400953733225442588813774
absolute error = 3e-32
relative error = 3.0481616118409234175799074925421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.177
y[1] (analytic) = -0.98437635340946909416699379524751
y[1] (numeric) = -0.98437635340946909416699379524748
absolute error = 3e-32
relative error = 3.0476148574772761784728770563123e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=213.6MB, alloc=4.4MB, time=24.60
TOP MAIN SOLVE Loop
x[1] = -0.176
y[1] (analytic) = -0.98455193843312947797051727907732
y[1] (numeric) = -0.98455193843312947797051727907729
absolute error = 3e-32
relative error = 3.0470713457477583865944833927719e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.175
y[1] (analytic) = -0.98472653890493347463669735339954
y[1] (numeric) = -0.98472653890493347463669735339951
absolute error = 3e-32
relative error = 3.0465310738310700932580949490088e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.174
y[1] (analytic) = -0.98490015465028062691157618403252
y[1] (numeric) = -0.98490015465028062691157618403248
absolute error = 4e-32
relative error = 4.0613253852318910109536923287446e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.173
y[1] (analytic) = -0.98507278549555520391597979276082
y[1] (numeric) = -0.98507278549555520391597979276078
absolute error = 4e-32
relative error = 4.0606136509879742278745861712474e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.172
y[1] (analytic) = -0.98524443126812637476123446853214
y[1] (numeric) = -0.9852444312681263747612344685321
absolute error = 4e-32
relative error = 4.0599062253531601661247956218782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.171
y[1] (analytic) = -0.98541509179634838117998327022891
y[1] (numeric) = -0.98541509179634838117998327022887
absolute error = 4e-32
relative error = 4.0592031046614651233528552148281e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.17
y[1] (analytic) = -0.9855847669095607091719299902125
y[1] (numeric) = -0.98558476690956070917192999021247
absolute error = 3e-32
relative error = 3.0438782139530431551778697272760e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.169
y[1] (analytic) = -0.98575345643808825966433893291046
y[1] (numeric) = -0.98575345643808825966433893291042
absolute error = 4e-32
relative error = 4.0578097635625445706090653596179e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.168
y[1] (analytic) = -0.98592116021324151818711984796102
y[1] (numeric) = -0.98592116021324151818711984796098
absolute error = 4e-32
relative error = 4.0571195359422589841656806951401e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.167
y[1] (analytic) = -0.98608787806731672356232834284434
y[1] (numeric) = -0.9860878780673167235623283428443
absolute error = 4e-32
relative error = 4.0564335988388797339804865016545e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.166
y[1] (analytic) = -0.98625360983359603560791308551389
y[1] (numeric) = -0.98625360983359603560791308551385
absolute error = 4e-32
relative error = 4.0557519487050528543621277384061e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.165
y[1] (analytic) = -0.98641835534634770185554209329493
y[1] (numeric) = -0.98641835534634770185554209329489
absolute error = 4e-32
relative error = 4.0550745820170126879538699543699e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.164
y[1] (analytic) = -0.98658211444082622328234139023756
y[1] (numeric) = -0.98658211444082622328234139023752
absolute error = 4e-32
relative error = 4.0544014952745367743083250858022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.163
y[1] (analytic) = -0.98674488695327251905638030119956
y[1] (numeric) = -0.98674488695327251905638030119952
absolute error = 4e-32
relative error = 4.0537326850009010655141179563658e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.162
y[1] (analytic) = -0.98690667272091409029573863718748
y[1] (numeric) = -0.98690667272091409029573863718744
absolute error = 4e-32
relative error = 4.0530681477428354677931890243363e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=217.4MB, alloc=4.4MB, time=25.04
TOP MAIN SOLVE Loop
x[1] = -0.161
y[1] (analytic) = -0.98706747158196518284099201290235
y[1] (numeric) = -0.98706747158196518284099201290231
absolute error = 4e-32
relative error = 4.0524078800704797079960772445990e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.16
y[1] (analytic) = -0.98722728337562694904095252401834
y[1] (numeric) = -0.9872272833756269490409525240183
absolute error = 4e-32
relative error = 4.0517518785773395239311331187804e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.159
y[1] (analytic) = -0.98738610794208760855150299846715
y[1] (numeric) = -0.98738610794208760855150299846711
absolute error = 4e-32
relative error = 4.0511001398802431774721764686955e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.158
y[1] (analytic) = -0.98754394512252260814736402290726
y[1] (numeric) = -0.98754394512252260814736402290722
absolute error = 4e-32
relative error = 4.0504526606192982893976365576205e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.157
y[1] (analytic) = -0.98770079475909478054663393262434
y[1] (numeric) = -0.9877007947590947805466339326243
absolute error = 4e-32
relative error = 4.0498094374578489949226942696466e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.156
y[1] (analytic) = -0.98785665669495450224794294033609
y[1] (numeric) = -0.98785665669495450224794294033604
absolute error = 5e-32
relative error = 5.0614630838530417736179843825611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.155
y[1] (analytic) = -0.98801153077423985038006356676048
y[1] (numeric) = -0.98801153077423985038006356676043
absolute error = 5e-32
relative error = 5.0606696827534268370350526667276e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.154
y[1] (analytic) = -0.98816541684207675856382052335014
y[1] (numeric) = -0.98816541684207675856382052335009
absolute error = 5e-32
relative error = 5.0598815894394661879646901034033e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.153
y[1] (analytic) = -0.98831831474457917178614418529584
y[1] (numeric) = -0.98831831474457917178614418529579
absolute error = 5e-32
relative error = 5.0590987998559949842424423907910e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.152
y[1] (analytic) = -0.98847022432884920028611278075862
y[1] (numeric) = -0.98847022432884920028611278075857
absolute error = 5e-32
relative error = 5.0583213099766322171217795840629e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.151
y[1] (analytic) = -0.98862114544297727245282941030121
y[1] (numeric) = -0.98862114544297727245282941030116
absolute error = 5e-32
relative error = 5.0575491158037295342140844254643e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.15
y[1] (analytic) = -0.98877107793604228673498099865434
y[1] (numeric) = -0.98877107793604228673498099865429
absolute error = 5e-32
relative error = 5.0567822133683204545008538115132e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.149
y[1] (analytic) = -0.98892002165811176256192726927181
y[1] (numeric) = -0.98892002165811176256192726927177
absolute error = 4e-32
relative error = 4.0448164789840559793624344781811e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.148
y[1] (analytic) = -0.98906797646024199027616882059779
y[1] (numeric) = -0.98906797646024199027616882059775
absolute error = 4e-32
relative error = 4.0442114143817796498421156218460e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.147
y[1] (analytic) = -0.98921494219447818007704437159081
y[1] (numeric) = -0.98921494219447818007704437159077
absolute error = 4e-32
relative error = 4.0436105737812500356173646832493e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=221.2MB, alloc=4.4MB, time=25.51
TOP MAIN SOLVE Loop
x[1] = -0.146
y[1] (analytic) = -0.98936091871385460997550823281966
y[1] (numeric) = -0.98936091871385460997550823281962
absolute error = 4e-32
relative error = 4.0430139540986758996592509131263e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.145
y[1] (analytic) = -0.98950590587239477275984004836598
y[1] (numeric) = -0.98950590587239477275984004836594
absolute error = 4e-32
relative error = 4.0424215522730130332120705488292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.144
y[1] (analytic) = -0.98964990352511152197213984283608
y[1] (numeric) = -0.98964990352511152197213984283604
absolute error = 4e-32
relative error = 4.0418333652659254896197711689099e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.143
y[1] (analytic) = -0.98979291152800721689546239699913
y[1] (numeric) = -0.9897929115280072168954623969991
absolute error = 3e-32
relative error = 3.0309370425463103438813767933555e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.142
y[1] (analytic) = -0.98993492973807386655144596492939
y[1] (numeric) = -0.98993492973807386655144596492935
absolute error = 4e-32
relative error = 4.0406696236674434460760339105421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.141
y[1] (analytic) = -0.99007595801329327270829133503572
y[1] (numeric) = -0.99007595801329327270829133503568
absolute error = 4e-32
relative error = 4.0400940631125737605799895332361e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.14
y[1] (analytic) = -0.9902159962126371718989482270114
y[1] (numeric) = -0.99021599621263717189894822701136
absolute error = 4e-32
relative error = 4.0395227054492536354580184431386e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.139
y[1] (analytic) = -0.99035504419606737644936700652949
y[1] (numeric) = -0.99035504419606737644936700652945
absolute error = 4e-32
relative error = 4.0389555477521176558541627711186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.138
y[1] (analytic) = -0.99049310182453591451667468944385
y[1] (numeric) = -0.99049310182453591451667468944381
absolute error = 4e-32
relative error = 4.0383925871182824876667839477660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.137
y[1] (analytic) = -0.99063016895998516913713519733158
y[1] (numeric) = -0.99063016895998516913713519733154
absolute error = 4e-32
relative error = 4.0378338206673102415744796368622e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.136
y[1] (analytic) = -0.99076624546534801628375481642801
y[1] (numeric) = -0.99076624546534801628375481642797
absolute error = 4e-32
relative error = 4.0372792455411721378374585906040e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.135
y[1] (analytic) = -0.9909013312045479619333948023605
y[1] (numeric) = -0.99090133120454796193339480236046
absolute error = 4e-32
relative error = 4.0367288589042124710128428612472e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.134
y[1] (analytic) = -0.99103542604249927814325406357971
y[1] (numeric) = -0.99103542604249927814325406357967
absolute error = 4e-32
relative error = 4.0361826579431128737300024335292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.133
y[1] (analytic) = -0.99116852984510713813658584701707
y[1] (numeric) = -0.99116852984510713813658584701703
absolute error = 4e-32
relative error = 4.0356406398668568786796301591924e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.132
y[1] (analytic) = -0.99130064247926775039751334026303
y[1] (numeric) = -0.99130064247926775039751334026299
absolute error = 4e-32
relative error = 4.0351028019066947779778351951589e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=225.0MB, alloc=4.4MB, time=25.95
TOP MAIN SOLVE Loop
x[1] = -0.131
y[1] (analytic) = -0.99143176381286849177481009546157
y[1] (numeric) = -0.99143176381286849177481009546154
absolute error = 3e-32
relative error = 3.0259268559870815843055534634153e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.13
y[1] (analytic) = -0.99156189371478803959451217115181
y[1] (numeric) = -0.99156189371478803959451217115178
absolute error = 3e-32
relative error = 3.0255297415280838422844168653683e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.129
y[1] (analytic) = -0.99169103205489650278122987945538
y[1] (numeric) = -0.99169103205489650278122987945535
absolute error = 3e-32
relative error = 3.0251357560264098733482327551372e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.128
y[1] (analytic) = -0.9918191787040555519880280173089
y[1] (numeric) = -0.99181917870405555198802801730886
absolute error = 4e-32
relative error = 4.0329931966293847453543965535545e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.127
y[1] (analytic) = -0.99194633353411854873474445187208
y[1] (numeric) = -0.99194633353411854873474445187204
absolute error = 4e-32
relative error = 4.0324762184953605291163345231161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.126
y[1] (analytic) = -0.9920724964179306735546179218037
y[1] (numeric) = -0.99207249641793067355461792180366
absolute error = 4e-32
relative error = 4.0319634043306032936130714855599e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.125
y[1] (analytic) = -0.99219766722932905314909690778825
y[1] (numeric) = -0.99219766722932905314909690778821
absolute error = 4e-32
relative error = 4.0314547515212715159712213438881e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.124
y[1] (analytic) = -0.99232184584314288655070241751501
y[1] (numeric) = -0.99232184584314288655070241751497
absolute error = 4e-32
relative error = 4.0309502574755199149826163636018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.123
y[1] (analytic) = -0.99244503213519357029381852225733
y[1] (numeric) = -0.99244503213519357029381852225729
absolute error = 4e-32
relative error = 4.0304499196234669503345043776604e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.122
y[1] (analytic) = -0.99256722598229482259328547427195
y[1] (numeric) = -0.99256722598229482259328547427191
absolute error = 4e-32
relative error = 4.0299537354171626112369871409354e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.121
y[1] (analytic) = -0.9926884272622528065306712264356
y[1] (numeric) = -0.99268842726225280653067122643556
absolute error = 4e-32
relative error = 4.0294617023305564936901953391436e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.12
y[1] (analytic) = -0.99280863585386625224809816785763
y[1] (numeric) = -0.99280863585386625224809816785759
absolute error = 4e-32
relative error = 4.0289738178594661656409001114964e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.119
y[1] (analytic) = -0.99292785163692657814950288165217
y[1] (numeric) = -0.99292785163692657814950288165213
absolute error = 4e-32
relative error = 4.0284900795215458192854367506876e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.118
y[1] (analytic) = -0.99304607449221801110920772362005
y[1] (numeric) = -0.99304607449221801110920772362
absolute error = 5e-32
relative error = 5.0350131060703190122287047377766e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.117
y[1] (analytic) = -0.99316330430151770568768401327901
y[1] (numeric) = -0.99316330430151770568768401327897
memory used=228.8MB, alloc=4.4MB, time=26.40
absolute error = 4e-32
relative error = 4.0275350314248288796502002677277e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.116
y[1] (analytic) = -0.99327954094759586235438762148898
y[1] (numeric) = -0.99327954094759586235438762148894
absolute error = 4e-32
relative error = 4.0270637168102456681158758525370e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.115
y[1] (analytic) = -0.99339478431421584471754873184649
y[1] (numeric) = -0.99339478431421584471754873184645
absolute error = 4e-32
relative error = 4.0265965386171985047201930335297e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.114
y[1] (analytic) = -0.99350903428613429576079854606851
y[1] (numeric) = -0.99350903428613429576079854606847
absolute error = 4e-32
relative error = 4.0261334944720644864516379647762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.113
y[1] (analytic) = -0.99362229074910125308651669674845
y[1] (numeric) = -0.99362229074910125308651669674841
absolute error = 4e-32
relative error = 4.0256745820228752377204871458148e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.112
y[1] (analytic) = -0.99373455358986026316578412414666
y[1] (numeric) = -0.99373455358986026316578412414662
absolute error = 4e-32
relative error = 4.0252197989392875524753411532016e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.111
y[1] (analytic) = -0.99384582269614849459482716707199
y[1] (numeric) = -0.99384582269614849459482716707195
absolute error = 4e-32
relative error = 4.0247691429125543177759744213018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.11
y[1] (analytic) = -0.99395609795669685035783961141985
y[1] (numeric) = -0.99395609795669685035783961141981
absolute error = 4e-32
relative error = 4.0243226116554957181427218728369e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.109
y[1] (analytic) = -0.99406537926123007909607043355394
y[1] (numeric) = -0.9940653792612300790960704335539
absolute error = 4e-32
relative error = 4.0238802029024707200095293016484e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.108
y[1] (analytic) = -0.99417366650046688538306596945332
y[1] (numeric) = -0.99417366650046688538306596945329
absolute error = 3e-32
relative error = 3.0175814358070116267110063161836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.107
y[1] (analytic) = -0.99428095956612003900595623439178
y[1] (numeric) = -0.99428095956612003900595623439175
absolute error = 3e-32
relative error = 3.0172558079651116242525197687373e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.106
y[1] (analytic) = -0.99438725835089648325267611187222
y[1] (numeric) = -0.99438725835089648325267611187219
absolute error = 3e-32
relative error = 3.0169332670002582901173925121058e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.105
y[1] (analytic) = -0.99449256274849744220501312460406
y[1] (numeric) = -0.99449256274849744220501312460403
absolute error = 3e-32
relative error = 3.0166138112776275124502938534078e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.104
y[1] (analytic) = -0.99459687265361852703737449448465
y[1] (numeric) = -0.99459687265361852703737449448462
absolute error = 3e-32
relative error = 3.0162974391784454663935236990182e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.103
y[1] (analytic) = -0.99470018796194984132116719282663
y[1] (numeric) = -0.9947001879619498413211671928266
absolute error = 3e-32
relative error = 3.0159841490999684775832156017356e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=26.84
x[1] = -0.102
y[1] (analytic) = -0.99480250857017608533468567645987
y[1] (numeric) = -0.99480250857017608533468567645983
absolute error = 4e-32
relative error = 4.0208985859406174564455415838067e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.101
y[1] (analytic) = -0.99490383437597665937840299982896
y[1] (numeric) = -0.99490383437597665937840299982893
absolute error = 3e-32
relative error = 3.0153668086741863540493335249064e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.1
y[1] (analytic) = -0.99500416527802576609556198780387
y[1] (numeric) = -0.99500416527802576609556198780384
absolute error = 3e-32
relative error = 3.0150627552013662853953423039349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.099
y[1] (analytic) = -0.99510350117599251179796414862088
y[1] (numeric) = -0.99510350117599251179796414862085
absolute error = 3e-32
relative error = 3.0147617774981825757897717771914e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.098
y[1] (analytic) = -0.9952018419705410067968550011736
y[1] (numeric) = -0.99520184197054100679685500117357
absolute error = 3e-32
relative error = 3.0144638740417474737516834104608e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.097
y[1] (analytic) = -0.99529918756333046473880548577688
y[1] (numeric) = -0.99529918756333046473880548577685
absolute error = 3e-32
relative error = 3.0141690433250868836712493755043e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.096
y[1] (analytic) = -0.99539553785701530094649012253066
y[1] (numeric) = -0.99539553785701530094649012253063
absolute error = 3e-32
relative error = 3.0138772838571216665595705178520e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.095
y[1] (analytic) = -0.99549089275524522976426357651361
y[1] (numeric) = -0.99549089275524522976426357651358
absolute error = 3e-32
relative error = 3.0135885941626491443446234831222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.094
y[1] (analytic) = -0.9955852521626653609084382842383
y[1] (numeric) = -0.99558525216266536090843828423827
absolute error = 3e-32
relative error = 3.0133029727823248072842014649506e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.093
y[1] (analytic) = -0.99567861598491629482216679109816
y[1] (numeric) = -0.99567861598491629482216679109813
absolute error = 3e-32
relative error = 3.0130204182726442240716117423516e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.092
y[1] (analytic) = -0.99577098412863421703483344493189
y[1] (numeric) = -0.99577098412863421703483344493186
absolute error = 3e-32
relative error = 3.0127409292059251542147759958985e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.091
y[1] (analytic) = -0.99586235650145099152586108632152
y[1] (numeric) = -0.99586235650145099152586108632149
absolute error = 3e-32
relative error = 3.0124645041702898622742465216120e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.09
y[1] (analytic) = -0.99595273301199425309283937182514
y[1] (numeric) = -0.99595273301199425309283937182511
absolute error = 3e-32
relative error = 3.0121911417696476335505030891292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.089
y[1] (analytic) = -0.99604211356988749872388236202374
y[1] (numeric) = -0.99604211356988749872388236202371
absolute error = 3e-32
relative error = 3.0119208406236774908157315059839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.088
y[1] (analytic) = -0.99613049808575017797412400203214
y[1] (numeric) = -0.99613049808575017797412400203211
absolute error = 3e-32
relative error = 3.0116535993678111116901061412130e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=236.5MB, alloc=4.4MB, time=27.28
TOP MAIN SOLVE Loop
x[1] = -0.087
y[1] (analytic) = -0.9962178864711977823462611179861
y[1] (numeric) = -0.99621788647119778234626111798607
absolute error = 3e-32
relative error = 3.0113894166532159462674049167291e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.086
y[1] (analytic) = -0.99630427863884193367505454897002
y[1] (numeric) = -0.99630427863884193367505454896999
absolute error = 3e-32
relative error = 3.0111282911467785345995767808623e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.085
y[1] (analytic) = -0.99638967450229047151570002989151
y[1] (numeric) = -0.99638967450229047151570002989148
absolute error = 3e-32
relative error = 3.0108702215310880236546586212544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.084
y[1] (analytic) = -0.99647407397614753953598143693918
y[1] (numeric) = -0.99647407397614753953598143693915
absolute error = 3e-32
relative error = 3.0106152065044198833672011391863e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.083
y[1] (analytic) = -0.99655747697601367091212000347765
y[1] (numeric) = -0.99655747697601367091212000347762
absolute error = 3e-32
relative error = 3.0103632447807198214051115789033e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.082
y[1] (analytic) = -0.99663988341848587272823411053763
y[1] (numeric) = -0.9966398834184858727282341105376
absolute error = 3e-32
relative error = 3.0101143350895878962815555673216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.081
y[1] (analytic) = -0.99672129322115770937932525244839
y[1] (numeric) = -0.99672129322115770937932525244836
absolute error = 3e-32
relative error = 3.0098684761762628284452808545720e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.08
y[1] (analytic) = -0.99680170630261938497770677463351
y[1] (numeric) = -0.99680170630261938497770677463348
absolute error = 3e-32
relative error = 3.0096256668016065089874326363733e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.079
y[1] (analytic) = -0.9968811225824578247627929771481
y[1] (numeric) = -0.99688112258245782476279297714806
absolute error = 4e-32
relative error = 4.0125145409894516074768314222168e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.078
y[1] (analytic) = -0.99695954198125675551416717417515
y[1] (numeric) = -0.99695954198125675551416717417512
absolute error = 3e-32
relative error = 3.0091491917897719654867017139491e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.077
y[1] (analytic) = -0.99703696442059678496784829641972
y[1] (numeric) = -0.99703696442059678496784829641969
absolute error = 3e-32
relative error = 3.0089155237522967147183267574834e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.076
y[1] (analytic) = -0.99711338982305548023567662014081
y[1] (numeric) = -0.99711338982305548023567662014078
absolute error = 3e-32
relative error = 3.0086849004528665539561188388077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.075
y[1] (analytic) = -0.99718881811220744522774020344191
y[1] (numeric) = -0.99718881811220744522774020344188
absolute error = 3e-32
relative error = 3.0084573207302337499377858591243e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.074
y[1] (analytic) = -0.99726324921262439707776460740017
y[1] (numeric) = -0.99726324921262439707776460740014
absolute error = 3e-32
relative error = 3.0082327834386849225522638210615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.073
y[1] (analytic) = -0.9973366830498752415713894766508
y[1] (numeric) = -0.99733668304987524157138947665076
absolute error = 4e-32
relative error = 4.0106817165973692361606949759823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=240.3MB, alloc=4.4MB, time=27.73
TOP MAIN SOLVE Loop
x[1] = -0.072
y[1] (analytic) = -0.99740911955052614757725655115641
y[1] (numeric) = -0.99740911955052614757725655115637
absolute error = 4e-32
relative error = 4.0103904421914305754203770553714e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.071
y[1] (analytic) = -0.9974805586421406204808346780796
y[1] (numeric) = -0.99748055864214062048083467807956
absolute error = 4e-32
relative error = 4.0101032199015049175326930056467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.07
y[1] (analytic) = -0.99755100025327957462090838993974
y[1] (numeric) = -0.9975510002532795746209083899397
absolute error = 4e-32
relative error = 4.0098200482826386659575128860210e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.069
y[1] (analytic) = -0.99762044431350140472865761257148
y[1] (numeric) = -0.99762044431350140472865761257144
absolute error = 4e-32
relative error = 4.0095409259104991711757823729141e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.068
y[1] (analytic) = -0.99768889075336205636925706381129
y[1] (numeric) = -0.99768889075336205636925706381125
absolute error = 4e-32
relative error = 4.0092658513813572021156821359650e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.067
y[1] (analytic) = -0.99775633950441509538592490131835
y[1] (numeric) = -0.99775633950441509538592490131831
absolute error = 4e-32
relative error = 4.0089948233120696753572449400250e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.066
y[1] (analytic) = -0.9978227904992117763463511754871
y[1] (numeric) = -0.99782279049921177634635117548706
absolute error = 4e-32
relative error = 4.0087278403400626417189421830770e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.065
y[1] (analytic) = -0.99788824367130110999143764102859
y[1] (numeric) = -0.99788824367130110999143764102855
absolute error = 4e-32
relative error = 4.0084649011233145298357830483527e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.064
y[1] (analytic) = -0.99795269895522992968628147848646
y[1] (numeric) = -0.99795269895522992968628147848642
absolute error = 4e-32
relative error = 4.0082060043403396463444864849190e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.063
y[1] (analytic) = -0.9980161562865429568733364747094
y[1] (numeric) = -0.99801615628654295687333647470936
absolute error = 4e-32
relative error = 4.0079511486901719322972890624896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.062
y[1] (analytic) = -0.99807861560178286552768620912431
y[1] (numeric) = -0.99807861560178286552768620912427
absolute error = 4e-32
relative error = 4.0077003328923489754319406002047e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.061
y[1] (analytic) = -0.99814007683849034561436479054242
y[1] (numeric) = -0.99814007683849034561436479054238
absolute error = 4e-32
relative error = 4.0074535556868962779314145719063e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.06
y[1] (analytic) = -0.99820053993520416554766168718284
y[1] (numeric) = -0.99820053993520416554766168718279
absolute error = 5e-32
relative error = 5.0090135197928897241410273344144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.059
y[1] (analytic) = -0.99826000483146123365234819061394
y[1] (numeric) = -0.9982600048314612336523481906139
absolute error = 4e-32
relative error = 4.0069721121155506340909647664555e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.058
y[1] (analytic) = -0.99831847146779665862676405239132
y[1] (numeric) = -0.99831847146779665862676405239127
absolute error = 5e-32
relative error = 5.0084218041650128048348789725113e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=244.1MB, alloc=4.4MB, time=28.17
TOP MAIN SOLVE Loop
x[1] = -0.057
y[1] (analytic) = -0.99837593978574380900770383031052
y[1] (numeric) = -0.99837593978574380900770383031047
absolute error = 5e-32
relative error = 5.0081335103818944293822844379314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.056
y[1] (analytic) = -0.99843240972783437163704347939343
y[1] (numeric) = -0.99843240972783437163704347939338
absolute error = 5e-32
relative error = 5.0078502573478806763080532049858e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.055
y[1] (analytic) = -0.99848788123759840913004872098633
y[1] (numeric) = -0.99848788123759840913004872098628
absolute error = 5e-32
relative error = 5.0075720436412676388074537909727e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.054
y[1] (analytic) = -0.99854235425956441634530772166625
y[1] (numeric) = -0.9985423542595644163453077216662
absolute error = 5e-32
relative error = 5.0072988678658325512508856922418e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.053
y[1] (analytic) = -0.99859582873925937585623161202751
y[1] (numeric) = -0.99859582873925937585623161202746
absolute error = 5e-32
relative error = 5.0070307286508166631801957499004e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.052
y[1] (analytic) = -0.99864830462320881242406737385262
y[1] (numeric) = -0.99864830462320881242406737385258
absolute error = 4e-32
relative error = 4.0054140997207267431021751539407e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.051
y[1] (analytic) = -0.9986997818589368464723686226592
y[1] (numeric) = -0.99869978185893684647236862265916
absolute error = 4e-32
relative error = 4.0052076436369816096990058608176e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.05
y[1] (analytic) = -0.99875026039496624656287081115652
y[1] (numeric) = -0.99875026039496624656287081115648
absolute error = 4e-32
relative error = 4.0050052136338448846124072439232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.049
y[1] (analytic) = -0.99879974018081848087271837774091
y[1] (numeric) = -0.99879974018081848087271837774087
absolute error = 4e-32
relative error = 4.0048068086960624525821950094701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.048
y[1] (analytic) = -0.99884822116701376767299236280714
y[1] (numeric) = -0.9988482211670137676729923628071
absolute error = 4e-32
relative error = 4.0046124278286866872822330688848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.047
y[1] (analytic) = -0.9988957033050711248084880143524
y[1] (numeric) = -0.99889570330507112480848801435236
absolute error = 4e-32
relative error = 4.0044220700570642607717348582656e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.046
y[1] (analytic) = -0.9989421865475084181786929030993
y[1] (numeric) = -0.99894218654750841817869290309926
absolute error = 4e-32
relative error = 4.0042357344268242036475300437639e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.045
y[1] (analytic) = -0.99898767084784240921991706616396
y[1] (numeric) = -0.99898767084784240921991706616392
absolute error = 4e-32
relative error = 4.0040534200038662156247369875346e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.044
y[1] (analytic) = -0.99903215616058880138852769714285
y[1] (numeric) = -0.99903215616058880138852769714281
absolute error = 4e-32
relative error = 4.0038751258743492262790566260743e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.043
y[1] (analytic) = -0.99907564244126228564524189938771
y[1] (numeric) = -0.99907564244126228564524189938767
absolute error = 4e-32
relative error = 4.0037008511446802056896688960317e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=247.9MB, alloc=4.4MB, time=28.61
TOP MAIN SOLVE Loop
x[1] = -0.042
y[1] (analytic) = -0.99911812964637658494043201817947
y[1] (numeric) = -0.99911812964637658494043201817943
absolute error = 4e-32
relative error = 4.0035305949415032247274687461222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.041
y[1] (analytic) = -0.99915961773344449770039906649961
y[1] (numeric) = -0.99915961773344449770039906649957
absolute error = 4e-32
relative error = 4.0033643564116887647391253112833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.04
y[1] (analytic) = -0.99920010666097794031457075812913
y[1] (numeric) = -0.99920010666097794031457075812909
absolute error = 4e-32
relative error = 4.0032021347223232763831852098487e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.039
y[1] (analytic) = -0.99923959638848798862358166088065
y[1] (numeric) = -0.99923959638848798862358166088061
absolute error = 4e-32
relative error = 4.0030439290606989873801693689660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.038
y[1] (analytic) = -0.99927808687648491840819398188693
y[1] (numeric) = -0.99927808687648491840819398188689
absolute error = 4e-32
relative error = 4.0028897386343039589443324999425e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.037
y[1] (analytic) = -0.99931557808647824487901849602845
y[1] (numeric) = -0.99931557808647824487901849602841
absolute error = 4e-32
relative error = 4.0027395626708123906704655453984e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.036
y[1] (analytic) = -0.99935206998097676116699612778233
y[1] (numeric) = -0.99935206998097676116699612778228
absolute error = 5e-32
relative error = 5.0032417505225939670685303941376e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.035
y[1] (analytic) = -0.99938756252348857581460169601424
y[1] (numeric) = -0.99938756252348857581460169601419
absolute error = 5e-32
relative error = 5.0030640639301383645437029125712e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.034
y[1] (analytic) = -0.99942205567852114926773233051278
y[1] (numeric) = -0.99942205567852114926773233051273
absolute error = 5e-32
relative error = 5.0028913926713698374236660072957e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.033
y[1] (analytic) = -0.99945554941158132936824406838078
y[1] (numeric) = -0.99945554941158132936824406838074
absolute error = 4e-32
relative error = 4.0021789887053574720400039612455e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.032
y[1] (analytic) = -0.99948804368917538584710113775004
y[1] (numeric) = -0.99948804368917538584710113775
absolute error = 4e-32
relative error = 4.0020488741773636435187036029866e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.031
y[1] (analytic) = -0.99951953847880904381810343567299
y[1] (numeric) = -0.99951953847880904381810343567294
absolute error = 5e-32
relative error = 5.0024034623771446290495918408940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.03
y[1] (analytic) = -0.99955003374898751627215870646661
y[1] (numeric) = -0.99955003374898751627215870646657
absolute error = 4e-32
relative error = 4.0018006752471401815564713147278e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.029
y[1] (analytic) = -0.99957952946921553557206692623928
y[1] (numeric) = -0.99957952946921553557206692623924
absolute error = 4e-32
relative error = 4.0016825896024811053631092639158e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.028
y[1] (analytic) = -0.99960802560999738394778539881849
y[1] (numeric) = -0.99960802560999738394778539881845
absolute error = 4e-32
memory used=251.7MB, alloc=4.4MB, time=29.06
relative error = 4.0015685123766925298167611631706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.027
y[1] (analytic) = -0.99963552214283692299214406781718
y[1] (numeric) = -0.99963552214283692299214406781714
absolute error = 4e-32
relative error = 4.0014584429988313165617090068823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.026
y[1] (analytic) = -0.99966201904023762215698154912569
y[1] (numeric) = -0.99966201904023762215698154912565
absolute error = 4e-32
relative error = 4.0013523809180501582902300796519e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.025
y[1] (analytic) = -0.99968751627570258624967338769563
y[1] (numeric) = -0.9996875162757025862496733876956
absolute error = 3e-32
relative error = 3.0009377442026931371113137928544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.024
y[1] (analytic) = -0.99971201382373458193002504208987
y[1] (numeric) = -0.99971201382373458193002504208983
absolute error = 4e-32
relative error = 4.0011522765447778031672202324215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.023
y[1] (analytic) = -0.99973551165983606320750309990763
y[1] (numeric) = -0.99973551165983606320750309990759
absolute error = 4e-32
relative error = 4.0010582332510118135712443326984e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.022
y[1] (analytic) = -0.99975800976050919593877922685587
y[1] (numeric) = -0.99975800976050919593877922685583
absolute error = 4e-32
relative error = 4.0009681952517640644901823036771e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.021
y[1] (analytic) = -0.99977950810325588132556235192481
y[1] (numeric) = -0.99977950810325588132556235192477
absolute error = 4e-32
relative error = 4.0008821620965703832699451682808e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.02
y[1] (analytic) = -0.99980000666657777841269559083748
y[1] (numeric) = -0.99980000666657777841269559083744
absolute error = 4e-32
relative error = 4.0008001333550257402528868179181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.019
y[1] (analytic) = -0.99981950542997632558649540967827
y[1] (numeric) = -0.99981950542997632558649540967824
absolute error = 3e-32
relative error = 3.0005415814625842451765591802287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.018
y[1] (analytic) = -0.99983800437395276107331153036308
y[1] (numeric) = -0.99983800437395276107331153036305
absolute error = 3e-32
relative error = 3.0004860656186459093626430745364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.017
y[1] (analytic) = -0.99985550348000814243828707939278
y[1] (numeric) = -0.99985550348000814243828707939275
absolute error = 3e-32
relative error = 3.0004335522067606843943344736849e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.016
y[1] (analytic) = -0.99987200273064336508429948113164
y[1] (numeric) = -0.99987200273064336508429948113161
absolute error = 3e-32
relative error = 3.0003840409642646517115307847914e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.015
y[1] (analytic) = -0.99988750210935917975106359667124
y[1] (numeric) = -0.99988750210935917975106359667121
absolute error = 3e-32
relative error = 3.0003375316435203813189914165817e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.014
y[1] (analytic) = -0.99990200160065620901437960917818
y[1] (numeric) = -0.99990200160065620901437960917815
absolute error = 3e-32
relative error = 3.0002940240119139091596895054167e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=255.5MB, alloc=4.4MB, time=29.50
x[1] = -0.013
y[1] (analytic) = -0.99991550119003496278550915647919
y[1] (numeric) = -0.99991550119003496278550915647916
absolute error = 3e-32
relative error = 3.0002535178518518980214613083574e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.012
y[1] (analytic) = -0.99992800086399585281066421150868
y[1] (numeric) = -0.99992800086399585281066421150865
absolute error = 3e-32
relative error = 3.0002160129607589819124559491817e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.011
y[1] (analytic) = -0.99993950061003920617059421113112
y[1] (numeric) = -0.99993950061003920617059421113109
absolute error = 3e-32
relative error = 3.0001815091510752938450603220422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.01
y[1] (analytic) = -0.99995000041666527778025793375221
y[1] (numeric) = -0.99995000041666527778025793375218
absolute error = 3e-32
relative error = 3.0001500062502541769721438744017e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.009
y[1] (analytic) = -0.99995950027337426188856762604806
y[1] (numeric) = -0.99995950027337426188856762604804
absolute error = 2e-32
relative error = 2.0000810027338400526824239055709e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.008
y[1] (analytic) = -0.99996800017066630257819387906919
y[1] (numeric) = -0.99996800017066630257819387906916
absolute error = 3e-32
relative error = 3.0000960025600666299956136097204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.007
y[1] (analytic) = -0.99997550010004150326542075391521
y[1] (numeric) = -0.99997550010004150326542075391519
absolute error = 2e-32
relative error = 2.0000490010004366020321630929594e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.006
y[1] (analytic) = -0.99998200005399993520004165712619
y[1] (numeric) = -0.99998200005399993520004165712617
absolute error = 2e-32
relative error = 2.0000360005400079057153919693873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.005
y[1] (analytic) = -0.99998750002604164496528746589513
y[1] (numeric) = -0.9999875000260416449652874658951
absolute error = 3e-32
relative error = 3.0000375003906289713944212133136e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.004
y[1] (analytic) = -0.99999200001066666097777940317431
y[1] (numeric) = -0.99999200001066666097777940317429
absolute error = 2e-32
relative error = 2.0000160001066673607156134895147e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.003
y[1] (analytic) = -0.9999955000033749989875001627232
y[1] (numeric) = -0.99999550000337499898750016272317
absolute error = 3e-32
relative error = 3.0000135000506251852881761174216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.002
y[1] (analytic) = -0.99999800000066666657777778412698
y[1] (numeric) = -0.99999800000066666657777778412696
absolute error = 2e-32
relative error = 2.0000040000066666775111286984412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = -0.001
y[1] (analytic) = -0.99999950000004166666527777780258
y[1] (numeric) = -0.99999950000004166666527777780256
absolute error = 2e-32
relative error = 2.0000010000004166668361111798115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = -1
y[1] (numeric) = -0.99999999999999999999999999999998
absolute error = 2e-32
relative error = 2.0000000000000000000000000000000e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.001
y[1] (analytic) = -0.99999950000004166666527777780258
y[1] (numeric) = -0.99999950000004166666527777780256
absolute error = 2e-32
relative error = 2.0000010000004166668361111798115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=259.4MB, alloc=4.4MB, time=29.95
TOP MAIN SOLVE Loop
x[1] = 0.002
y[1] (analytic) = -0.99999800000066666657777778412698
y[1] (numeric) = -0.99999800000066666657777778412696
absolute error = 2e-32
relative error = 2.0000040000066666775111286984412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.003
y[1] (analytic) = -0.9999955000033749989875001627232
y[1] (numeric) = -0.99999550000337499898750016272317
absolute error = 3e-32
relative error = 3.0000135000506251852881761174216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.004
y[1] (analytic) = -0.99999200001066666097777940317431
y[1] (numeric) = -0.99999200001066666097777940317429
absolute error = 2e-32
relative error = 2.0000160001066673607156134895147e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.005
y[1] (analytic) = -0.99998750002604164496528746589513
y[1] (numeric) = -0.9999875000260416449652874658951
absolute error = 3e-32
relative error = 3.0000375003906289713944212133136e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.006
y[1] (analytic) = -0.99998200005399993520004165712619
y[1] (numeric) = -0.99998200005399993520004165712617
absolute error = 2e-32
relative error = 2.0000360005400079057153919693873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.007
y[1] (analytic) = -0.99997550010004150326542075391521
y[1] (numeric) = -0.99997550010004150326542075391519
absolute error = 2e-32
relative error = 2.0000490010004366020321630929594e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.008
y[1] (analytic) = -0.99996800017066630257819387906919
y[1] (numeric) = -0.99996800017066630257819387906916
absolute error = 3e-32
relative error = 3.0000960025600666299956136097204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.009
y[1] (analytic) = -0.99995950027337426188856762604806
y[1] (numeric) = -0.99995950027337426188856762604804
absolute error = 2e-32
relative error = 2.0000810027338400526824239055709e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = -0.99995000041666527778025793375221
y[1] (numeric) = -0.99995000041666527778025793375218
absolute error = 3e-32
relative error = 3.0001500062502541769721438744017e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.011
y[1] (analytic) = -0.99993950061003920617059421113112
y[1] (numeric) = -0.99993950061003920617059421113109
absolute error = 3e-32
relative error = 3.0001815091510752938450603220422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.012
y[1] (analytic) = -0.99992800086399585281066421150868
y[1] (numeric) = -0.99992800086399585281066421150865
absolute error = 3e-32
relative error = 3.0002160129607589819124559491817e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.013
y[1] (analytic) = -0.99991550119003496278550915647919
y[1] (numeric) = -0.99991550119003496278550915647916
absolute error = 3e-32
relative error = 3.0002535178518518980214613083574e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.014
y[1] (analytic) = -0.99990200160065620901437960917818
y[1] (numeric) = -0.99990200160065620901437960917815
absolute error = 3e-32
relative error = 3.0002940240119139091596895054167e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.015
y[1] (analytic) = -0.99988750210935917975106359667124
y[1] (numeric) = -0.99988750210935917975106359667121
absolute error = 3e-32
relative error = 3.0003375316435203813189914165817e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.016
y[1] (analytic) = -0.99987200273064336508429948113164
y[1] (numeric) = -0.99987200273064336508429948113161
absolute error = 3e-32
relative error = 3.0003840409642646517115307847914e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=263.2MB, alloc=4.4MB, time=30.40
TOP MAIN SOLVE Loop
x[1] = 0.017
y[1] (analytic) = -0.99985550348000814243828707939278
y[1] (numeric) = -0.99985550348000814243828707939275
absolute error = 3e-32
relative error = 3.0004335522067606843943344736849e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.018
y[1] (analytic) = -0.99983800437395276107331153036308
y[1] (numeric) = -0.99983800437395276107331153036305
absolute error = 3e-32
relative error = 3.0004860656186459093626430745364e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.019
y[1] (analytic) = -0.99981950542997632558649540967827
y[1] (numeric) = -0.99981950542997632558649540967824
absolute error = 3e-32
relative error = 3.0005415814625842451765591802287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = -0.99980000666657777841269559083748
y[1] (numeric) = -0.99980000666657777841269559083744
absolute error = 4e-32
relative error = 4.0008001333550257402528868179181e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.021
y[1] (analytic) = -0.99977950810325588132556235192481
y[1] (numeric) = -0.99977950810325588132556235192477
absolute error = 4e-32
relative error = 4.0008821620965703832699451682808e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.022
y[1] (analytic) = -0.99975800976050919593877922685587
y[1] (numeric) = -0.99975800976050919593877922685583
absolute error = 4e-32
relative error = 4.0009681952517640644901823036771e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.023
y[1] (analytic) = -0.99973551165983606320750309990763
y[1] (numeric) = -0.99973551165983606320750309990759
absolute error = 4e-32
relative error = 4.0010582332510118135712443326984e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.024
y[1] (analytic) = -0.99971201382373458193002504208987
y[1] (numeric) = -0.99971201382373458193002504208983
absolute error = 4e-32
relative error = 4.0011522765447778031672202324215e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.025
y[1] (analytic) = -0.99968751627570258624967338769563
y[1] (numeric) = -0.9996875162757025862496733876956
absolute error = 3e-32
relative error = 3.0009377442026931371113137928544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.026
y[1] (analytic) = -0.99966201904023762215698154912569
y[1] (numeric) = -0.99966201904023762215698154912565
absolute error = 4e-32
relative error = 4.0013523809180501582902300796519e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.027
y[1] (analytic) = -0.99963552214283692299214406781718
y[1] (numeric) = -0.99963552214283692299214406781714
absolute error = 4e-32
relative error = 4.0014584429988313165617090068823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.028
y[1] (analytic) = -0.99960802560999738394778539881849
y[1] (numeric) = -0.99960802560999738394778539881845
absolute error = 4e-32
relative error = 4.0015685123766925298167611631706e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.029
y[1] (analytic) = -0.99957952946921553557206692623928
y[1] (numeric) = -0.99957952946921553557206692623924
absolute error = 4e-32
relative error = 4.0016825896024811053631092639158e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = -0.99955003374898751627215870646661
y[1] (numeric) = -0.99955003374898751627215870646657
absolute error = 4e-32
relative error = 4.0018006752471401815564713147278e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.031
y[1] (analytic) = -0.99951953847880904381810343567299
y[1] (numeric) = -0.99951953847880904381810343567294
absolute error = 5e-32
relative error = 5.0024034623771446290495918408940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=267.0MB, alloc=4.4MB, time=30.84
TOP MAIN SOLVE Loop
x[1] = 0.032
y[1] (analytic) = -0.99948804368917538584710113775004
y[1] (numeric) = -0.99948804368917538584710113775
absolute error = 4e-32
relative error = 4.0020488741773636435187036029866e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.033
y[1] (analytic) = -0.99945554941158132936824406838078
y[1] (numeric) = -0.99945554941158132936824406838074
absolute error = 4e-32
relative error = 4.0021789887053574720400039612455e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.034
y[1] (analytic) = -0.99942205567852114926773233051278
y[1] (numeric) = -0.99942205567852114926773233051273
absolute error = 5e-32
relative error = 5.0028913926713698374236660072957e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.035
y[1] (analytic) = -0.99938756252348857581460169601424
y[1] (numeric) = -0.99938756252348857581460169601419
absolute error = 5e-32
relative error = 5.0030640639301383645437029125712e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.036
y[1] (analytic) = -0.99935206998097676116699612778233
y[1] (numeric) = -0.99935206998097676116699612778228
absolute error = 5e-32
relative error = 5.0032417505225939670685303941376e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.037
y[1] (analytic) = -0.99931557808647824487901849602845
y[1] (numeric) = -0.99931557808647824487901849602841
absolute error = 4e-32
relative error = 4.0027395626708123906704655453984e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.038
y[1] (analytic) = -0.99927808687648491840819398188693
y[1] (numeric) = -0.99927808687648491840819398188689
absolute error = 4e-32
relative error = 4.0028897386343039589443324999425e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.039
y[1] (analytic) = -0.99923959638848798862358166088065
y[1] (numeric) = -0.99923959638848798862358166088061
absolute error = 4e-32
relative error = 4.0030439290606989873801693689660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = -0.99920010666097794031457075812913
y[1] (numeric) = -0.99920010666097794031457075812909
absolute error = 4e-32
relative error = 4.0032021347223232763831852098487e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.041
y[1] (analytic) = -0.99915961773344449770039906649961
y[1] (numeric) = -0.99915961773344449770039906649957
absolute error = 4e-32
relative error = 4.0033643564116887647391253112833e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.042
y[1] (analytic) = -0.99911812964637658494043201817947
y[1] (numeric) = -0.99911812964637658494043201817943
absolute error = 4e-32
relative error = 4.0035305949415032247274687461222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.043
y[1] (analytic) = -0.99907564244126228564524189938771
y[1] (numeric) = -0.99907564244126228564524189938767
absolute error = 4e-32
relative error = 4.0037008511446802056896688960317e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.044
y[1] (analytic) = -0.99903215616058880138852769714285
y[1] (numeric) = -0.99903215616058880138852769714281
absolute error = 4e-32
relative error = 4.0038751258743492262790566260743e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.045
y[1] (analytic) = -0.99898767084784240921991706616396
y[1] (numeric) = -0.99898767084784240921991706616392
absolute error = 4e-32
relative error = 4.0040534200038662156247369875346e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.046
y[1] (analytic) = -0.9989421865475084181786929030993
y[1] (numeric) = -0.99894218654750841817869290309926
absolute error = 4e-32
relative error = 4.0042357344268242036475300437639e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=270.8MB, alloc=4.4MB, time=31.29
TOP MAIN SOLVE Loop
x[1] = 0.047
y[1] (analytic) = -0.9988957033050711248084880143524
y[1] (numeric) = -0.99889570330507112480848801435236
absolute error = 4e-32
relative error = 4.0044220700570642607717348582656e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.048
y[1] (analytic) = -0.99884822116701376767299236280714
y[1] (numeric) = -0.9988482211670137676729923628071
absolute error = 4e-32
relative error = 4.0046124278286866872822330688848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.049
y[1] (analytic) = -0.99879974018081848087271837774091
y[1] (numeric) = -0.99879974018081848087271837774087
absolute error = 4e-32
relative error = 4.0048068086960624525821950094701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = -0.99875026039496624656287081115652
y[1] (numeric) = -0.99875026039496624656287081115648
absolute error = 4e-32
relative error = 4.0050052136338448846124072439232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.051
y[1] (analytic) = -0.9986997818589368464723686226592
y[1] (numeric) = -0.99869978185893684647236862265916
absolute error = 4e-32
relative error = 4.0052076436369816096990058608176e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.052
y[1] (analytic) = -0.99864830462320881242406737385262
y[1] (numeric) = -0.99864830462320881242406737385258
absolute error = 4e-32
relative error = 4.0054140997207267431021751539407e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.053
y[1] (analytic) = -0.99859582873925937585623161202751
y[1] (numeric) = -0.99859582873925937585623161202746
absolute error = 5e-32
relative error = 5.0070307286508166631801957499004e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.054
y[1] (analytic) = -0.99854235425956441634530772166625
y[1] (numeric) = -0.9985423542595644163453077216662
absolute error = 5e-32
relative error = 5.0072988678658325512508856922418e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.055
y[1] (analytic) = -0.99848788123759840913004872098633
y[1] (numeric) = -0.99848788123759840913004872098628
absolute error = 5e-32
relative error = 5.0075720436412676388074537909727e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.056
y[1] (analytic) = -0.99843240972783437163704347939343
y[1] (numeric) = -0.99843240972783437163704347939338
absolute error = 5e-32
relative error = 5.0078502573478806763080532049858e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.057
y[1] (analytic) = -0.99837593978574380900770383031052
y[1] (numeric) = -0.99837593978574380900770383031047
absolute error = 5e-32
relative error = 5.0081335103818944293822844379314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.058
y[1] (analytic) = -0.99831847146779665862676405239132
y[1] (numeric) = -0.99831847146779665862676405239127
absolute error = 5e-32
relative error = 5.0084218041650128048348789725113e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.059
y[1] (analytic) = -0.99826000483146123365234819061394
y[1] (numeric) = -0.9982600048314612336523481906139
absolute error = 4e-32
relative error = 4.0069721121155506340909647664555e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = -0.99820053993520416554766168718284
y[1] (numeric) = -0.99820053993520416554766168718279
absolute error = 5e-32
relative error = 5.0090135197928897241410273344144e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.061
y[1] (analytic) = -0.99814007683849034561436479054242
y[1] (numeric) = -0.99814007683849034561436479054238
absolute error = 4e-32
relative error = 4.0074535556868962779314145719063e-30 %
Correct digits = 31
h = 0.001
memory used=274.6MB, alloc=4.4MB, time=31.73
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.062
y[1] (analytic) = -0.99807861560178286552768620912431
y[1] (numeric) = -0.99807861560178286552768620912427
absolute error = 4e-32
relative error = 4.0077003328923489754319406002047e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.063
y[1] (analytic) = -0.9980161562865429568733364747094
y[1] (numeric) = -0.99801615628654295687333647470936
absolute error = 4e-32
relative error = 4.0079511486901719322972890624896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.064
y[1] (analytic) = -0.99795269895522992968628147848646
y[1] (numeric) = -0.99795269895522992968628147848642
absolute error = 4e-32
relative error = 4.0082060043403396463444864849190e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.065
y[1] (analytic) = -0.99788824367130110999143764102859
y[1] (numeric) = -0.99788824367130110999143764102855
absolute error = 4e-32
relative error = 4.0084649011233145298357830483527e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.066
y[1] (analytic) = -0.9978227904992117763463511754871
y[1] (numeric) = -0.99782279049921177634635117548706
absolute error = 4e-32
relative error = 4.0087278403400626417189421830770e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.067
y[1] (analytic) = -0.99775633950441509538592490131835
y[1] (numeric) = -0.99775633950441509538592490131831
absolute error = 4e-32
relative error = 4.0089948233120696753572449400250e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.068
y[1] (analytic) = -0.99768889075336205636925706381129
y[1] (numeric) = -0.99768889075336205636925706381125
absolute error = 4e-32
relative error = 4.0092658513813572021156821359650e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.069
y[1] (analytic) = -0.99762044431350140472865761257148
y[1] (numeric) = -0.99762044431350140472865761257144
absolute error = 4e-32
relative error = 4.0095409259104991711757823729141e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = -0.99755100025327957462090838993974
y[1] (numeric) = -0.9975510002532795746209083899397
absolute error = 4e-32
relative error = 4.0098200482826386659575128860210e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.071
y[1] (analytic) = -0.9974805586421406204808346780796
y[1] (numeric) = -0.99748055864214062048083467807956
absolute error = 4e-32
relative error = 4.0101032199015049175326930056467e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.072
y[1] (analytic) = -0.99740911955052614757725655115641
y[1] (numeric) = -0.99740911955052614757725655115637
absolute error = 4e-32
relative error = 4.0103904421914305754203770553714e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.073
y[1] (analytic) = -0.9973366830498752415713894766508
y[1] (numeric) = -0.99733668304987524157138947665076
absolute error = 4e-32
relative error = 4.0106817165973692361606949759823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.074
y[1] (analytic) = -0.99726324921262439707776460740017
y[1] (numeric) = -0.99726324921262439707776460740014
absolute error = 3e-32
relative error = 3.0082327834386849225522638210615e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.075
y[1] (analytic) = -0.99718881811220744522774020344191
y[1] (numeric) = -0.99718881811220744522774020344188
absolute error = 3e-32
relative error = 3.0084573207302337499377858591243e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.4MB, time=32.18
x[1] = 0.076
y[1] (analytic) = -0.99711338982305548023567662014081
y[1] (numeric) = -0.99711338982305548023567662014078
absolute error = 3e-32
relative error = 3.0086849004528665539561188388077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.077
y[1] (analytic) = -0.99703696442059678496784829641972
y[1] (numeric) = -0.99703696442059678496784829641969
absolute error = 3e-32
relative error = 3.0089155237522967147183267574834e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.078
y[1] (analytic) = -0.99695954198125675551416717417515
y[1] (numeric) = -0.99695954198125675551416717417512
absolute error = 3e-32
relative error = 3.0091491917897719654867017139491e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.079
y[1] (analytic) = -0.9968811225824578247627929771481
y[1] (numeric) = -0.99688112258245782476279297714806
absolute error = 4e-32
relative error = 4.0125145409894516074768314222168e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = -0.99680170630261938497770677463351
y[1] (numeric) = -0.99680170630261938497770677463348
absolute error = 3e-32
relative error = 3.0096256668016065089874326363733e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.081
y[1] (analytic) = -0.99672129322115770937932525244839
y[1] (numeric) = -0.99672129322115770937932525244836
absolute error = 3e-32
relative error = 3.0098684761762628284452808545720e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.082
y[1] (analytic) = -0.99663988341848587272823411053763
y[1] (numeric) = -0.9966398834184858727282341105376
absolute error = 3e-32
relative error = 3.0101143350895878962815555673216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.083
y[1] (analytic) = -0.99655747697601367091212000347765
y[1] (numeric) = -0.99655747697601367091212000347762
absolute error = 3e-32
relative error = 3.0103632447807198214051115789033e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.084
y[1] (analytic) = -0.99647407397614753953598143693918
y[1] (numeric) = -0.99647407397614753953598143693915
absolute error = 3e-32
relative error = 3.0106152065044198833672011391863e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.085
y[1] (analytic) = -0.99638967450229047151570002989151
y[1] (numeric) = -0.99638967450229047151570002989148
absolute error = 3e-32
relative error = 3.0108702215310880236546586212544e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.086
y[1] (analytic) = -0.99630427863884193367505454897002
y[1] (numeric) = -0.99630427863884193367505454896999
absolute error = 3e-32
relative error = 3.0111282911467785345995767808623e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.087
y[1] (analytic) = -0.9962178864711977823462611179861
y[1] (numeric) = -0.99621788647119778234626111798607
absolute error = 3e-32
relative error = 3.0113894166532159462674049167291e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.088
y[1] (analytic) = -0.99613049808575017797412400203214
y[1] (numeric) = -0.99613049808575017797412400203211
absolute error = 3e-32
relative error = 3.0116535993678111116901061412130e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.089
y[1] (analytic) = -0.99604211356988749872388236202374
y[1] (numeric) = -0.99604211356988749872388236202371
absolute error = 3e-32
relative error = 3.0119208406236774908157315059839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = -0.99595273301199425309283937182514
y[1] (numeric) = -0.99595273301199425309283937182511
absolute error = 3e-32
relative error = 3.0121911417696476335505030891292e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=282.2MB, alloc=4.4MB, time=32.62
x[1] = 0.091
y[1] (analytic) = -0.99586235650145099152586108632152
y[1] (numeric) = -0.99586235650145099152586108632149
absolute error = 3e-32
relative error = 3.0124645041702898622742465216120e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.092
y[1] (analytic) = -0.99577098412863421703483344493189
y[1] (numeric) = -0.99577098412863421703483344493186
absolute error = 3e-32
relative error = 3.0127409292059251542147759958985e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.093
y[1] (analytic) = -0.99567861598491629482216679109816
y[1] (numeric) = -0.99567861598491629482216679109813
absolute error = 3e-32
relative error = 3.0130204182726442240716117423516e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.094
y[1] (analytic) = -0.9955852521626653609084382842383
y[1] (numeric) = -0.99558525216266536090843828423827
absolute error = 3e-32
relative error = 3.0133029727823248072842014649506e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.095
y[1] (analytic) = -0.99549089275524522976426357651361
y[1] (numeric) = -0.99549089275524522976426357651358
absolute error = 3e-32
relative error = 3.0135885941626491443446234831222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.096
y[1] (analytic) = -0.99539553785701530094649012253066
y[1] (numeric) = -0.99539553785701530094649012253063
absolute error = 3e-32
relative error = 3.0138772838571216665595705178520e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.097
y[1] (analytic) = -0.99529918756333046473880548577688
y[1] (numeric) = -0.99529918756333046473880548577685
absolute error = 3e-32
relative error = 3.0141690433250868836712493755043e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.098
y[1] (analytic) = -0.9952018419705410067968550011736
y[1] (numeric) = -0.99520184197054100679685500117357
absolute error = 3e-32
relative error = 3.0144638740417474737516834104608e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.099
y[1] (analytic) = -0.99510350117599251179796414862088
y[1] (numeric) = -0.99510350117599251179796414862085
absolute error = 3e-32
relative error = 3.0147617774981825757897717771914e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = -0.99500416527802576609556198780387
y[1] (numeric) = -0.99500416527802576609556198780384
absolute error = 3e-32
relative error = 3.0150627552013662853953423039349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = -0.99490383437597665937840299982896
y[1] (numeric) = -0.99490383437597665937840299982893
absolute error = 3e-32
relative error = 3.0153668086741863540493335249064e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = -0.99480250857017608533468567645987
y[1] (numeric) = -0.99480250857017608533468567645983
absolute error = 4e-32
relative error = 4.0208985859406174564455415838067e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = -0.99470018796194984132116719282663
y[1] (numeric) = -0.9947001879619498413211671928266
absolute error = 3e-32
relative error = 3.0159841490999684775832156017356e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = -0.99459687265361852703737449448465
y[1] (numeric) = -0.99459687265361852703737449448462
absolute error = 3e-32
relative error = 3.0162974391784454663935236990182e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = -0.99449256274849744220501312460406
y[1] (numeric) = -0.99449256274849744220501312460403
absolute error = 3e-32
relative error = 3.0166138112776275124502938534078e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=286.1MB, alloc=4.4MB, time=33.07
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = -0.99438725835089648325267611187222
y[1] (numeric) = -0.99438725835089648325267611187219
absolute error = 3e-32
relative error = 3.0169332670002582901173925121058e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = -0.99428095956612003900595623439178
y[1] (numeric) = -0.99428095956612003900595623439175
absolute error = 3e-32
relative error = 3.0172558079651116242525197687373e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = -0.99417366650046688538306596945332
y[1] (numeric) = -0.99417366650046688538306596945329
absolute error = 3e-32
relative error = 3.0175814358070116267110063161836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = -0.99406537926123007909607043355394
y[1] (numeric) = -0.9940653792612300790960704335539
absolute error = 4e-32
relative error = 4.0238802029024707200095293016484e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = -0.99395609795669685035783961141985
y[1] (numeric) = -0.99395609795669685035783961141981
absolute error = 4e-32
relative error = 4.0243226116554957181427218728369e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = -0.99384582269614849459482716707199
y[1] (numeric) = -0.99384582269614849459482716707195
absolute error = 4e-32
relative error = 4.0247691429125543177759744213018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = -0.99373455358986026316578412414666
y[1] (numeric) = -0.99373455358986026316578412414662
absolute error = 4e-32
relative error = 4.0252197989392875524753411532016e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = -0.99362229074910125308651669674845
y[1] (numeric) = -0.99362229074910125308651669674841
absolute error = 4e-32
relative error = 4.0256745820228752377204871458148e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = -0.99350903428613429576079854606851
y[1] (numeric) = -0.99350903428613429576079854606847
absolute error = 4e-32
relative error = 4.0261334944720644864516379647762e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = -0.99339478431421584471754873184649
y[1] (numeric) = -0.99339478431421584471754873184645
absolute error = 4e-32
relative error = 4.0265965386171985047201930335297e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = -0.99327954094759586235438762148898
y[1] (numeric) = -0.99327954094759586235438762148894
absolute error = 4e-32
relative error = 4.0270637168102456681158758525370e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = -0.99316330430151770568768401327901
y[1] (numeric) = -0.99316330430151770568768401327897
absolute error = 4e-32
relative error = 4.0275350314248288796502002677277e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = -0.99304607449221801110920772362005
y[1] (numeric) = -0.99304607449221801110920772362
absolute error = 5e-32
relative error = 5.0350131060703190122287047377766e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = -0.99292785163692657814950288165217
y[1] (numeric) = -0.99292785163692657814950288165213
absolute error = 4e-32
relative error = 4.0284900795215458192854367506876e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = -0.99280863585386625224809816785763
y[1] (numeric) = -0.99280863585386625224809816785759
absolute error = 4e-32
relative error = 4.0289738178594661656409001114964e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=289.9MB, alloc=4.4MB, time=33.52
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = -0.9926884272622528065306712264356
y[1] (numeric) = -0.99268842726225280653067122643556
absolute error = 4e-32
relative error = 4.0294617023305564936901953391436e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = -0.99256722598229482259328547427195
y[1] (numeric) = -0.99256722598229482259328547427191
absolute error = 4e-32
relative error = 4.0299537354171626112369871409354e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = -0.99244503213519357029381852225733
y[1] (numeric) = -0.99244503213519357029381852225729
absolute error = 4e-32
relative error = 4.0304499196234669503345043776604e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = -0.99232184584314288655070241751501
y[1] (numeric) = -0.99232184584314288655070241751497
absolute error = 4e-32
relative error = 4.0309502574755199149826163636018e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = -0.99219766722932905314909690778825
y[1] (numeric) = -0.99219766722932905314909690778821
absolute error = 4e-32
relative error = 4.0314547515212715159712213438881e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = -0.9920724964179306735546179218037
y[1] (numeric) = -0.99207249641793067355461792180366
absolute error = 4e-32
relative error = 4.0319634043306032936130714855599e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = -0.99194633353411854873474445187208
y[1] (numeric) = -0.99194633353411854873474445187204
absolute error = 4e-32
relative error = 4.0324762184953605291163345231161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = -0.9918191787040555519880280173089
y[1] (numeric) = -0.99181917870405555198802801730886
absolute error = 4e-32
relative error = 4.0329931966293847453543965535545e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = -0.99169103205489650278122987945538
y[1] (numeric) = -0.99169103205489650278122987945534
absolute error = 4e-32
relative error = 4.0335143413685464977976436735163e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = -0.99156189371478803959451217115181
y[1] (numeric) = -0.99156189371478803959451217115177
absolute error = 4e-32
relative error = 4.0340396553707784563792224871577e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = -0.99143176381286849177481009546157
y[1] (numeric) = -0.99143176381286849177481009546153
absolute error = 4e-32
relative error = 4.0345691413161087790740712845537e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = -0.99130064247926775039751334026303
y[1] (numeric) = -0.99130064247926775039751334026298
absolute error = 5e-32
relative error = 5.0438785023833684724722939939486e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = -0.99116852984510713813658584701707
y[1] (numeric) = -0.99116852984510713813658584701702
absolute error = 5e-32
relative error = 5.0445507998335710983495376989904e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = -0.99103542604249927814325406357971
y[1] (numeric) = -0.99103542604249927814325406357966
absolute error = 5e-32
relative error = 5.0452283224288910921625030419115e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = -0.9909013312045479619333948023605
y[1] (numeric) = -0.99090133120454796193339480236045
absolute error = 5e-32
relative error = 5.0459110736302655887660535765590e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=293.7MB, alloc=4.4MB, time=33.97
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = -0.99076624546534801628375481642801
y[1] (numeric) = -0.99076624546534801628375481642796
absolute error = 5e-32
relative error = 5.0465990569264651722968232382550e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = -0.99063016895998516913713519733158
y[1] (numeric) = -0.99063016895998516913713519733153
absolute error = 5e-32
relative error = 5.0472922758341378019680995460777e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = -0.99049310182453591451667468944385
y[1] (numeric) = -0.9904931018245359145166746894438
absolute error = 5e-32
relative error = 5.0479907338978531095834799347075e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = -0.99035504419606737644936700652949
y[1] (numeric) = -0.99035504419606737644936700652944
absolute error = 5e-32
relative error = 5.0486944346901470698177034638983e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = -0.9902159962126371718989482270114
y[1] (numeric) = -0.99021599621263717189894822701135
absolute error = 5e-32
relative error = 5.0494033818115670443225230539232e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = -0.99007595801329327270829133503572
y[1] (numeric) = -0.99007595801329327270829133503567
absolute error = 5e-32
relative error = 5.0501175788907172007249869165451e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = -0.98993492973807386655144596492939
y[1] (numeric) = -0.98993492973807386655144596492934
absolute error = 5e-32
relative error = 5.0508370295843043075950423881777e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = -0.98979291152800721689546239699913
y[1] (numeric) = -0.98979291152800721689546239699909
absolute error = 4e-32
relative error = 4.0412493900617471251751690578074e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = -0.98964990352511152197213984283608
y[1] (numeric) = -0.98964990352511152197213984283603
absolute error = 5e-32
relative error = 5.0522917065824068620247139611373e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = -0.98950590587239477275984004836598
y[1] (numeric) = -0.98950590587239477275984004836593
absolute error = 5e-32
relative error = 5.0530269403412662915150881860365e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = -0.98936091871385460997550823281966
y[1] (numeric) = -0.98936091871385460997550823281961
absolute error = 5e-32
relative error = 5.0537674426233448745740636414079e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = -0.98921494219447818007704437159081
y[1] (numeric) = -0.98921494219447818007704437159076
absolute error = 5e-32
relative error = 5.0545132172265625445217058540616e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = -0.98906797646024199027616882059779
y[1] (numeric) = -0.98906797646024199027616882059774
absolute error = 5e-32
relative error = 5.0552642679772245623026445273075e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = -0.98892002165811176256192726927181
y[1] (numeric) = -0.98892002165811176256192726927176
absolute error = 5e-32
relative error = 5.0560205987300699742030430977264e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = -0.98877107793604228673498099865434
y[1] (numeric) = -0.98877107793604228673498099865428
absolute error = 6e-32
relative error = 6.0681386560419845454010245738159e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=297.5MB, alloc=4.4MB, time=34.41
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = -0.98862114544297727245282941030121
y[1] (numeric) = -0.98862114544297727245282941030115
absolute error = 6e-32
relative error = 6.0690589389644754410569013105572e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = -0.98847022432884920028611278075862
y[1] (numeric) = -0.98847022432884920028611278075856
absolute error = 6e-32
relative error = 6.0699855719719586605461355008755e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = -0.98831831474457917178614418529584
y[1] (numeric) = -0.98831831474457917178614418529578
absolute error = 6e-32
relative error = 6.0709185598271939810909308689492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = -0.98816541684207675856382052335014
y[1] (numeric) = -0.98816541684207675856382052335008
absolute error = 6e-32
relative error = 6.0718579073273594255576281240839e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = -0.98801153077423985038006356676048
y[1] (numeric) = -0.98801153077423985038006356676042
absolute error = 6e-32
relative error = 6.0728036193041122044420632000731e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = -0.98785665669495450224794294033609
y[1] (numeric) = -0.98785665669495450224794294033603
absolute error = 6e-32
relative error = 6.0737557006236501283415812590733e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = -0.98770079475909478054663393262434
y[1] (numeric) = -0.98770079475909478054663393262429
absolute error = 5e-32
relative error = 5.0622617968223112436533678370582e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = -0.98754394512252260814736402290726
y[1] (numeric) = -0.98754394512252260814736402290721
absolute error = 5e-32
relative error = 5.0630658257741228617470456970256e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = -0.98738610794208760855150299846715
y[1] (numeric) = -0.9873861079420876085515029984671
absolute error = 5e-32
relative error = 5.0638751748503039718402205858694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = -0.98722728337562694904095252401834
y[1] (numeric) = -0.98722728337562694904095252401829
absolute error = 5e-32
relative error = 5.0646898482216744049139163984754e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = -0.98706747158196518284099201290235
y[1] (numeric) = -0.9870674715819651828409920129023
absolute error = 5e-32
relative error = 5.0655098500880996349950965557487e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = -0.98690667272091409029573863718748
y[1] (numeric) = -0.98690667272091409029573863718743
absolute error = 5e-32
relative error = 5.0663351846785443347414862804204e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = -0.98674488695327251905638030119956
y[1] (numeric) = -0.98674488695327251905638030119951
absolute error = 5e-32
relative error = 5.0671658562511263318926474454572e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = -0.98658211444082622328234139023756
y[1] (numeric) = -0.98658211444082622328234139023751
absolute error = 5e-32
relative error = 5.0680018690931709678854063572528e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.165
memory used=301.3MB, alloc=4.4MB, time=34.86
y[1] (analytic) = -0.98641835534634770185554209329493
y[1] (numeric) = -0.98641835534634770185554209329488
absolute error = 5e-32
relative error = 5.0688432275212658599423374429623e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = -0.98625360983359603560791308551389
y[1] (numeric) = -0.98625360983359603560791308551384
absolute error = 5e-32
relative error = 5.0696899358813160679526596730076e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = -0.98608787806731672356232834284434
y[1] (numeric) = -0.98608787806731672356232834284429
absolute error = 5e-32
relative error = 5.0705419985485996674756081270682e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = -0.98592116021324151818711984796102
y[1] (numeric) = -0.98592116021324151818711984796097
absolute error = 5e-32
relative error = 5.0713994199278237302071008689252e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = -0.98575345643808825966433893291046
y[1] (numeric) = -0.98575345643808825966433893291041
absolute error = 5e-32
relative error = 5.0722622044531807132613316995223e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = -0.9855847669095607091719299902125
y[1] (numeric) = -0.98558476690956070917192999021246
absolute error = 4e-32
relative error = 4.0585042852707242069038263030347e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = -0.98541509179634838117998327022891
y[1] (numeric) = -0.98541509179634838117998327022886
absolute error = 5e-32
relative error = 5.0740038808268314041910690185351e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = -0.98524443126812637476123446853214
y[1] (numeric) = -0.98524443126812637476123446853209
absolute error = 5e-32
relative error = 5.0748827816914502076559945273478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = -0.98507278549555520391597979276082
y[1] (numeric) = -0.98507278549555520391597979276077
absolute error = 5e-32
relative error = 5.0757670637349677848432327140592e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = -0.98490015465028062691157618403252
y[1] (numeric) = -0.98490015465028062691157618403247
absolute error = 5e-32
relative error = 5.0766567315398637636921154109307e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = -0.98472653890493347463669735339954
y[1] (numeric) = -0.9847265389049334746366973533995
absolute error = 4e-32
relative error = 4.0620414317747601243441265986784e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = -0.98455193843312947797051727907732
y[1] (numeric) = -0.98455193843312947797051727907728
absolute error = 4e-32
relative error = 4.0627617943303445154593111903625e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = -0.98437635340946909416699379524751
y[1] (numeric) = -0.98437635340946909416699379524747
absolute error = 4e-32
relative error = 4.0634864766363682379638360750831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = -0.98419978400953733225442588813777
y[1] (numeric) = -0.98419978400953733225442588813773
absolute error = 4e-32
relative error = 4.0642154824545645567732099900561e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = -0.98402223040990357745045929980641
y[1] (numeric) = -0.98402223040990357745045929980636
absolute error = 5e-32
relative error = 5.0811860194634054892547406910100e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.4MB, time=35.30
x[1] = 0.18
y[1] (analytic) = -0.98384369278812141459271602461153
y[1] (numeric) = -0.98384369278812141459271602461149
absolute error = 4e-32
relative error = 4.0656864797947450988522326525241e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = -0.98366417132272845058522426772069
y[1] (numeric) = -0.98366417132272845058522426772064
absolute error = 5e-32
relative error = 5.0830355987008494964911526113379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = -0.98348366619324613586082641921602
y[1] (numeric) = -0.98348366619324613586082641921597
absolute error = 5e-32
relative error = 5.0839685211584822888640055540437e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = -0.98330217758017958485974358137227
y[1] (numeric) = -0.98330217758017958485974358137223
absolute error = 4e-32
relative error = 4.0679254975755765804393577936311e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = -0.98311970566501739552447617052807
y[1] (numeric) = -0.98311970566501739552447617052803
absolute error = 4e-32
relative error = 4.0686805248138696133316965598975e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = -0.98293625063023146781122109863481
y[1] (numeric) = -0.98293625063023146781122109863476
absolute error = 5e-32
relative error = 5.0867998782160477307556410804485e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = -0.98275181265927682121798702305087
y[1] (numeric) = -0.98275181265927682121798702305083
absolute error = 4e-32
relative error = 4.0702036348080618811760017841049e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = -0.98256639193659141132959013645082
y[1] (numeric) = -0.98256639193659141132959013645078
absolute error = 4e-32
relative error = 4.0709717254995778154307881343425e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = -0.98237998864759594537971395183828
y[1] (numeric) = -0.98237998864759594537971395183823
absolute error = 5e-32
relative error = 5.0896802233149152098789942582539e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = -0.98219260297869369683021752058749
y[1] (numeric) = -0.98219260297869369683021752058744
absolute error = 5e-32
relative error = 5.0906512478677901006537132620946e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = -0.98200423511727031896787750418991
y[1] (numeric) = -0.98200423511727031896787750418987
absolute error = 4e-32
relative error = 4.0733021884801979016968024576468e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = -0.98181488525169365751875050294814
y[1] (numeric) = -0.98181488525169365751875050294809
absolute error = 5e-32
relative error = 5.0926096916102697306358063148518e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = -0.98162455357131356228034302723921
y[1] (numeric) = -0.98162455357131356228034302723916
absolute error = 5e-32
relative error = 5.0935971210267382991644816861228e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = -0.98143324026646169777177747916177
y[1] (numeric) = -0.98143324026646169777177747916172
absolute error = 5e-32
relative error = 5.0945900290094993026922134171171e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = -0.98124094552845135290214349438516
y[1] (numeric) = -0.98124094552845135290214349438511
absolute error = 5e-32
relative error = 5.0955884207494311249134292138259e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=309.0MB, alloc=4.4MB, time=35.75
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = -0.98104766954957724965722497583334
y[1] (numeric) = -0.98104766954957724965722497583329
absolute error = 5e-32
relative error = 5.0965923014685118428580139148296e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = -0.98085341252311535080479413246059
y[1] (numeric) = -0.98085341252311535080479413246054
absolute error = 5e-32
relative error = 5.0976016764198872061185265453374e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = -0.98065817464332266661866481780904
y[1] (numeric) = -0.98065817464332266661866481780898
absolute error = 6e-32
relative error = 6.1183398610655268808273391609864e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = -0.9804619561054370606216984442784
y[1] (numeric) = -0.98046195610543706062169844427835
absolute error = 5e-32
relative error = 5.0996369301883542657753855103129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = -0.98026475710567705434795673008606
y[1] (numeric) = -0.980264757105677054347956730086
absolute error = 6e-32
relative error = 6.1207953836018327583252964565118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = -0.98006657784124163112419651674817
y[1] (numeric) = -0.98006657784124163112419651674811
absolute error = 6e-32
relative error = 6.1220330696471561387545966610951e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = -0.97986741851031003887090287557097
y[1] (numeric) = -0.97986741851031003887090287557091
absolute error = 6e-32
relative error = 6.1232773808540188462099321392412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = -0.97966727931204159192305770210243
y[1] (numeric) = -0.97966727931204159192305770210237
absolute error = 6e-32
relative error = 6.1245283237523465679396868433866e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = -0.97946616044657547187084197775936
y[1] (numeric) = -0.9794661604465754718708419777593
absolute error = 6e-32
relative error = 6.1257859049100525013901864448228e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = -0.97926406211503052742047085791098
y[1] (numeric) = -0.97926406211503052742047085791092
absolute error = 6e-32
relative error = 6.1270501309331233192003913218449e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = -0.97906098451950507327536172556728
y[1] (numeric) = -0.97906098451950507327536172556722
absolute error = 6e-32
relative error = 6.1283210084657056923862517011086e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = -0.9788569278630766880378363294873
y[1] (numeric) = -0.97885692786307668803783632948724
absolute error = 6e-32
relative error = 6.1295985441901933738665617581729e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = -0.97865189234980201113155910498837
y[1] (numeric) = -0.97865189234980201113155910498832
absolute error = 5e-32
relative error = 5.1090689540227623704149816778146e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = -0.97844587818471653874491475500107
y[1] (numeric) = -0.97844587818471653874491475500101
absolute error = 6e-32
relative error = 6.1321736171362215238027841925141e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = -0.97823888557383441879552914797525
y[1] (numeric) = -0.9782388855738344187955291479752
absolute error = 5e-32
relative error = 5.1112259732621471229908254982422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=312.8MB, alloc=4.4MB, time=36.20
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = -0.97803091472414824491613856809935
y[1] (numeric) = -0.97803091472414824491613856809929
absolute error = 6e-32
relative error = 6.1347754039986441146784516994769e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = -0.97782196584362884946201333194623
y[1] (numeric) = -0.97782196584362884946201333194617
absolute error = 6e-32
relative error = 6.1360863322633794049748718584492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = -0.97761203914122509554014276410505
y[1] (numeric) = -0.977612039141225095540142764105
absolute error = 5e-32
relative error = 5.1145032996854325592665388272546e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = -0.97740113482686366806038950259663
y[1] (numeric) = -0.97740113482686366806038950259657
absolute error = 6e-32
relative error = 6.1387282930286723060014563474998e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = -0.97718925311144886380882208290055
y[1] (numeric) = -0.9771892531114488638088220829005
absolute error = 5e-32
relative error = 5.1167161162278437403303267596009e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = -0.97697639420686238054343572724421
y[1] (numeric) = -0.97697639420686238054343572724416
absolute error = 5e-32
relative error = 5.1178309216561411742026234937518e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = -0.97676255832596310511247224341507
y[1] (numeric) = -0.97676255832596310511247224341502
absolute error = 5e-32
relative error = 5.1189513330336017328837231795867e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = -0.97654774568258690059555091475888
y[1] (numeric) = -0.97654774568258690059555091475883
absolute error = 5e-32
relative error = 5.1200773562844101048683105965473e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = -0.97633195649154639246782324021503
y[1] (numeric) = -0.97633195649154639246782324021499
absolute error = 4e-32
relative error = 4.0969671978924251802498329051369e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = -0.97611519096863075378736536021661
y[1] (numeric) = -0.97611519096863075378736536021656
absolute error = 5e-32
relative error = 5.1223462622667903352888355120180e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = -0.9758974493306054894060229810447
y[1] (numeric) = -0.97589744933060548940602298104465
absolute error = 5e-32
relative error = 5.1234891570109497845197695841652e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = -0.97567873179521221920392458677419
y[1] (numeric) = -0.97567873179521221920392458677414
absolute error = 5e-32
relative error = 5.1246376876537913295813763826101e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = -0.97545903858116846034787970427966
y[1] (numeric) = -0.97545903858116846034787970427961
absolute error = 5e-32
relative error = 5.1257918602841951795980388143975e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = -0.97523836990816740857387996288501
y[1] (numeric) = -0.97523836990816740857387996288496
absolute error = 5e-32
relative error = 5.1269516810242210414515956674244e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = -0.97501672599687771849392166613751
y[1] (numeric) = -0.97501672599687771849392166613747
absolute error = 4e-32
relative error = 4.1024937248233515332390496527631e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=316.6MB, alloc=4.4MB, time=36.64
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = -0.97479410706894328292736956886549
y[1] (numeric) = -0.97479410706894328292736956886545
absolute error = 4e-32
relative error = 4.1034306331902107209631828903272e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = -0.9745705133469830112570825281373
y[1] (numeric) = -0.97457051334698301125708252813726
absolute error = 4e-32
relative error = 4.1043720748976247941666815880166e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = -0.97434594505459060681052267197768
y[1] (numeric) = -0.97434594505459060681052267197764
absolute error = 4e-32
relative error = 4.1053180549500703225383475087318e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = -0.97412040241633434326607070471358
y[1] (numeric) = -0.97412040241633434326607070471354
absolute error = 4e-32
relative error = 4.1062685783788967065967685791285e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = -0.97389388565775684008477094261565
y[1] (numeric) = -0.97389388565775684008477094261561
absolute error = 4e-32
relative error = 4.1072236502423932462571371047681e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = -0.9736663950053748369677306480716
y[1] (numeric) = -0.97366639500537483696773064807156
absolute error = 4e-32
relative error = 4.1081832756258566206959965580264e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = -0.97343793068667896733939920487326
y[1] (numeric) = -0.97343793068667896733939920487323
absolute error = 3e-32
relative error = 3.0818605947312440859233445249779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = -0.97320849293013353085695365131938
y[1] (numeric) = -0.97320849293013353085695365131935
absolute error = 3e-32
relative error = 3.0825871555719864442094641741553e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = -0.97297808196517626494601806172955
y[1] (numeric) = -0.97297808196517626494601806172952
absolute error = 3e-32
relative error = 3.0833171431166654166000989796595e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = -0.97274669802221811536294524063099
y[1] (numeric) = -0.97274669802221811536294524063096
absolute error = 3e-32
relative error = 3.0840505612607879639852057302492e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = -0.97251434133264300578389016731721
y[1] (numeric) = -0.97251434133264300578389016731718
absolute error = 3e-32
relative error = 3.0847874139203743036928782306345e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = -0.97228101212880760642090560168606
y[1] (numeric) = -0.97228101212880760642090560168603
absolute error = 3e-32
relative error = 3.0855277050320103975962832976862e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = -0.97204671064404110166529123524216
y[1] (numeric) = -0.97204671064404110166529123524213
absolute error = 3e-32
relative error = 3.0862714385529007579031532460913e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = -0.97181143711264495675842874389526
y[1] (numeric) = -0.97181143711264495675842874389523
absolute error = 3e-32
relative error = 3.0870186184609215719808461655552e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = -0.97157519176989268349033607170002
y[1] (numeric) = -0.97157519176989268349033607169998
absolute error = 4e-32
relative error = 4.1170256650062321967726803458883e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=320.4MB, alloc=4.4MB, time=37.09
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = -0.97133797485202960492617524696338
y[1] (numeric) = -0.97133797485202960492617524696334
absolute error = 4e-32
relative error = 4.1180311112713849064339612652216e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = -0.97109978659627261916094900419216
y[1] (numeric) = -0.97109978659627261916094900419212
absolute error = 4e-32
relative error = 4.1190411687969711218221330918709e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = -0.9708606272408099621026224571645
y[1] (numeric) = -0.97086062724080996210262245716445
absolute error = 5e-32
relative error = 5.1500698037472394951018721060468e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = -0.97062049702480096928390703998371
y[1] (numeric) = -0.97062049702480096928390703998366
absolute error = 5e-32
relative error = 5.1513439241457124076851439390650e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = -0.97037939618837583670294490431084
y[1] (numeric) = -0.97037939618837583670294490431079
absolute error = 5e-32
relative error = 5.1526238290300324709191742770023e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = -0.97013732497263538069313293207151
y[1] (numeric) = -0.97013732497263538069313293207146
absolute error = 5e-32
relative error = 5.1539095252736871783601877442974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = -0.96989428361965079682232649379306
y[1] (numeric) = -0.96989428361965079682232649379301
absolute error = 5e-32
relative error = 5.1552010197853445645175961018258e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = -0.96965027237246341782166405334813
y[1] (numeric) = -0.96965027237246341782166405334808
absolute error = 5e-32
relative error = 5.1564983195089466358898011670287e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = -0.96940529147508447054425469025992
y[1] (numeric) = -0.96940529147508447054425469025987
absolute error = 5e-32
relative error = 5.1578014314238033571653194290180e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = -0.96915934117249483195397158086133
y[1] (numeric) = -0.96915934117249483195397158086128
absolute error = 5e-32
relative error = 5.1591103625446871950242708169405e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = -0.96891242171064478414459544949419
y[1] (numeric) = -0.96891242171064478414459544949414
absolute error = 5e-32
relative error = 5.1604251199219282219922467399379e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = -0.9686645333364537683895529705847
y[1] (numeric) = -0.96866453333645376838955297058465
absolute error = 5e-32
relative error = 5.1617457106415097828156499267426e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = -0.96841567629781013822249607183617
y[1] (numeric) = -0.96841567629781013822249607183612
absolute error = 5e-32
relative error = 5.1630721418251647258447816069435e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = -0.96816585084357091154896905793918
y[1] (numeric) = -0.96816585084357091154896905793913
absolute error = 5e-32
relative error = 5.1644044206304722019282410556505e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = -0.96791505722356152178941144311144
y[1] (numeric) = -0.96791505722356152178941144311139
absolute error = 5e-32
relative error = 5.1657425542509550333395993369184e-30 %
Correct digits = 31
h = 0.001
memory used=324.2MB, alloc=4.4MB, time=37.52
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = -0.96766329568857556805374534944369
y[1] (numeric) = -0.96766329568857556805374534944364
absolute error = 5e-32
relative error = 5.1670865499161776552748141040104e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = -0.96741056649037456434779729644346
y[1] (numeric) = -0.96741056649037456434779729644341
absolute error = 5e-32
relative error = 5.1684364148918446324764664284784e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = -0.96715686988168768781180517533403
y[1] (numeric) = -0.96715686988168768781180517533398
absolute error = 5e-32
relative error = 5.1697921564798997535586247242601e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = -0.9669022061162115259912621695806
y[1] (numeric) = -0.96690220611621152599126216958055
absolute error = 5e-32
relative error = 5.1711537820186257056239758037604e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = -0.96664657544860982314035035077869
y[1] (numeric) = -0.96664657544860982314035035077864
absolute error = 5e-32
relative error = 5.1725212988827443317828098535974e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = -0.96638997813451322555821764645006
y[1] (numeric) = -0.96638997813451322555821764645001
absolute error = 5e-32
relative error = 5.1738947144835174742015055589721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = -0.96613241443051902595835284344793
y[1] (numeric) = -0.96613241443051902595835284344787
absolute error = 6e-32
relative error = 6.2103288435226180863916015864702e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = -0.96587388459419090687131425757517
y[1] (numeric) = -0.96587388459419090687131425757511
absolute error = 6e-32
relative error = 6.2119911260680606199360313240478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = -0.96561438888405868308106866666555
y[1] (numeric) = -0.96561438888405868308106866666548
absolute error = 7e-32
relative error = 7.2492705997160632410923730512168e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = -0.9653539275596180430951980707674
y[1] (numeric) = -0.96535392755961804309519807076733
absolute error = 7e-32
relative error = 7.2512265192681842223936321936865e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = -0.96509250088133028964923280920166
y[1] (numeric) = -0.96509250088133028964923280920159
absolute error = 7e-32
relative error = 7.2531907497027935619469645446803e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = -0.96483010911062207924537053013933
y[1] (numeric) = -0.96483010911062207924537053013927
absolute error = 6e-32
relative error = 6.2187114014619471359629669839330e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = -0.96456675250988516072584147395786
y[1] (numeric) = -0.96456675250988516072584147395779
absolute error = 7e-32
relative error = 7.2571441860144997723323878247909e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = -0.96430243134247611288118149698917
y[1] (numeric) = -0.96430243134247611288118149698911
absolute error = 6e-32
relative error = 6.2221143543597210552056364590832e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=328.0MB, alloc=4.4MB, time=37.97
x[1] = 0.269
y[1] (analytic) = -0.96403714587271608109367522736473
y[1] (numeric) = -0.96403714587271608109367522736466
absolute error = 7e-32
relative error = 7.2611309947637901586685494729156e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = -0.9637708963658905130162327094922
y[1] (numeric) = -0.96377089636589051301623270949214
absolute error = 6e-32
relative error = 6.2255459493789609089581830273361e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = -0.9635036830882488932869638582654
y[1] (numeric) = -0.96350368308824889328696385826534
absolute error = 6e-32
relative error = 6.2272725110594622321777570772309e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = -0.96323550630700447727971600841062
y[1] (numeric) = -0.96323550630700447727971600841056
absolute error = 6e-32
relative error = 6.2290062614112848003168920355122e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = -0.96296636629033402389084080840986
y[1] (numeric) = -0.9629663662903340238908408084098
absolute error = 6e-32
relative error = 6.2307472099093044446999951543119e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = -0.96269626330737752736245767221169
y[1] (numeric) = -0.96269626330737752736245767221163
absolute error = 6e-32
relative error = 6.2324953660740147539953563562322e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = -0.96242519762823794814248196544391
y[1] (numeric) = -0.96242519762823794814248196544385
absolute error = 6e-32
relative error = 6.2342507394716590189487464503175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = -0.96215316952398094278168706607751
y[1] (numeric) = -0.96215316952398094278168706607745
absolute error = 6e-32
relative error = 6.2360133397143629332652451386940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = -0.96188017926663459286807040245721
y[1] (numeric) = -0.96188017926663459286807040245715
absolute error = 6e-32
relative error = 6.2377831764602680541826795151496e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = -0.96160622712918913299879453431011
y[1] (numeric) = -0.96160622712918913299879453431005
absolute error = 6e-32
relative error = 6.2395602594136660263043564645333e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = -0.96133131338559667778997530476856
y[1] (numeric) = -0.9613313133855966777899753047685
absolute error = 6e-32
relative error = 6.2413445983251335722832328335059e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = -0.96105543831077094792459005359648
y[1] (numeric) = -0.96105543831077094792459005359641
absolute error = 7e-32
relative error = 7.2836589034902796296366678674851e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = -0.96077860218058699523877984368792
y[1] (numeric) = -0.96077860218058699523877984368785
absolute error = 7e-32
relative error = 7.2857575971329625089794054602230e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = -0.96050080527188092684682061451294
y[1] (numeric) = -0.96050080527188092684682061451287
absolute error = 7e-32
relative error = 7.2878647905126623668171805442633e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = -0.96022204786244962830503913751647
y[1] (numeric) = -0.9602220478624496283050391375164
absolute error = 7e-32
relative error = 7.2899804952226420099519411040613e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=331.8MB, alloc=4.4MB, time=38.41
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = -0.95994233023105048581495060953123
y[1] (numeric) = -0.95994233023105048581495060953117
absolute error = 6e-32
relative error = 6.2503754767808267290014562030634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = -0.95966165265740110746589568104396
y[1] (numeric) = -0.9596616526574011074658956810439
absolute error = 6e-32
relative error = 6.2522035588119910165325464789951e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = -0.95938001542217904351745567665462
y[1] (numeric) = -0.95938001542217904351745567665457
absolute error = 5e-32
relative error = 5.2116991386356217171670660592543e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = -0.95909741880702150572192572529021
y[1] (numeric) = -0.95909741880702150572192572529016
absolute error = 5e-32
relative error = 5.2132347579657517500944831033106e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = -0.95881386309452508568712647767644
y[1] (numeric) = -0.95881386309452508568712647767639
absolute error = 5e-32
relative error = 5.2147764988115037345998711357920e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = -0.95852934856824547227983604823229
y[1] (numeric) = -0.95852934856824547227983604823224
absolute error = 5e-32
relative error = 5.2163243696903971008934222091481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = -0.95824387551269716807012477793186
y[1] (numeric) = -0.95824387551269716807012477793181
absolute error = 5e-32
relative error = 5.2178783791598026459291862433028e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = -0.9579574442133532048168763737751
y[1] (numeric) = -0.95795744421335320481687637377505
absolute error = 5e-32
relative error = 5.2194385358170629352494752790027e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = -0.95767005495664485799477993932263
y[1] (numeric) = -0.95767005495664485799477993932258
absolute error = 5e-32
relative error = 5.2210048482996133847037455493415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = -0.95738170802996136036307836927879
y[1] (numeric) = -0.95738170802996136036307836927874
absolute error = 5e-32
relative error = 5.2225773252851040253352020769574e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = -0.95709240372164961457635953935068
y[1] (numeric) = -0.95709240372164961457635953935063
absolute error = 5e-32
relative error = 5.2241559754915219547508597135434e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = -0.95680214232101390483767768056805
y[1] (numeric) = -0.956802142321013904837677680568
absolute error = 5e-32
relative error = 5.2257408076773144783134334455283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = -0.9565109241183156075942932849186
y[1] (numeric) = -0.95651092411831560759429328491855
absolute error = 5e-32
relative error = 5.2273318306415129435162206173591e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = -0.95621874940477290127632084653473
y[1] (numeric) = -0.95621874940477290127632084653468
absolute error = 5e-32
relative error = 5.2289290532238572709250797043103e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = -0.95592561847256047507857469975975
y[1] (numeric) = -0.95592561847256047507857469975971
absolute error = 4e-32
relative error = 4.1844259874439369480757645144697e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=335.7MB, alloc=4.4MB, time=38.86
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = -0.95563153161480923678590417222355
y[1] (numeric) = -0.95563153161480923678590417222351
absolute error = 4e-32
relative error = 4.1857137062449905191117214032638e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = -0.95533648912560601964231022756805
y[1] (numeric) = -0.95533648912560601964231022756801
absolute error = 4e-32
relative error = 4.1870064061523424037311633823481e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = -0.95504049129999328826413672868155
y[1] (numeric) = -0.95504049129999328826413672868151
absolute error = 4e-32
relative error = 4.1883040943690594606214226206358e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = -0.95474353843396884359763040822611
y[1] (numeric) = -0.95474353843396884359763040822607
absolute error = 4e-32
relative error = 4.1896067781312819855561813140022e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = -0.95444563082448552692116458887338
y[1] (numeric) = -0.95444563082448552692116458887334
absolute error = 4e-32
relative error = 4.1909144647083267375674660413190e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = -0.95414676876945092289242265100057
y[1] (numeric) = -0.95414676876945092289242265100054
absolute error = 3e-32
relative error = 3.1441703710520929063849809586324e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = -0.95384695256772706164083820063833
y[1] (numeric) = -0.9538469525677270616408382006383
absolute error = 3e-32
relative error = 3.1451586566629908541747631653925e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = -0.95354618251913011990558984520543
y[1] (numeric) = -0.9535461825191301199055898452054
absolute error = 3e-32
relative error = 3.1461507108910414621261384427249e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = -0.95324445892443012121944943901075
y[1] (numeric) = -0.95324445892443012121944943901072
absolute error = 3e-32
relative error = 3.1471465392885430687603550006694e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = -0.95294178208535063513878361464923
y[1] (numeric) = -0.9529417820853506351387836146492
absolute error = 3e-32
relative error = 3.1481461474330692394877831252717e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = -0.95263815230456847552000937026516
y[1] (numeric) = -0.95263815230456847552000937026514
absolute error = 2e-32
relative error = 2.0994330272850324426471630879896e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = -0.95233356988571339784280543620221
y[1] (numeric) = -0.95233356988571339784280543620218
absolute error = 3e-32
relative error = 3.1501567254003454991181714712254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = -0.95202803513336779558038209780341
y[1] (numeric) = -0.95202803513336779558038209780339
absolute error = 2e-32
relative error = 2.1007784710035601066301892416514e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = -0.95172154835306639561711310406623
y[1] (numeric) = -0.95172154835306639561711310406621
absolute error = 2e-32
relative error = 2.1014549932813403736978040130822e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = -0.95141410985129595271383424449514
y[1] (numeric) = -0.95141410985129595271383424449512
absolute error = 2e-32
relative error = 2.1021340542370092049645128195100e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=339.5MB, alloc=4.4MB, time=39.30
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = -0.95110571993549494302111412882791
y[1] (numeric) = -0.95110571993549494302111412882789
absolute error = 2e-32
relative error = 2.1028156576911788984041257396085e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = -0.95079637891405325664080365633916
y[1] (numeric) = -0.95079637891405325664080365633914
absolute error = 2e-32
relative error = 2.1034998074816910489198947796220e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = -0.95048608709631188923617161314611
y[1] (numeric) = -0.95048608709631188923617161314608
absolute error = 3e-32
relative error = 3.1562797611955078867360296820127e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = -0.95017484479256263269093478735519
y[1] (numeric) = -0.95017484479256263269093478735517
absolute error = 2e-32
relative error = 2.1048757615095881500422301601986e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = -0.94986265231404776481749194299381
y[1] (numeric) = -0.94986265231404776481749194299379
absolute error = 2e-32
relative error = 2.1055675735093027006047747278972e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = -0.94954950997295973811467194446714
y[1] (numeric) = -0.94954950997295973811467194446711
absolute error = 3e-32
relative error = 3.1593929210551968079937023068514e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = -0.94923541808244086757530727376609
y[1] (numeric) = -0.94923541808244086757530727376606
absolute error = 3e-32
relative error = 3.1604383305253478459157479501737e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = -0.94892037695658301754394513282693
y[1] (numeric) = -0.94892037695658301754394513282689
absolute error = 4e-32
relative error = 4.2153167927839917544936607889057e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = -0.94860438691042728762500927330517
y[1] (numeric) = -0.94860438691042728762500927330513
absolute error = 4e-32
relative error = 4.2167209589108753864724841624749e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = -0.94828744825996369764172664557596
y[1] (numeric) = -0.94828744825996369764172664557593
absolute error = 3e-32
relative error = 3.1635977102773793557429778619631e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = -0.9479695613221308716461339080079
y[1] (numeric) = -0.94796956132213087164613390800787
absolute error = 3e-32
relative error = 3.1646585738638139406871088005991e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = -0.94765072641481572098047978647747
y[1] (numeric) = -0.94765072641481572098047978647744
absolute error = 3e-32
relative error = 3.1657233159623076152894543899930e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = -0.94733094385685312639034022269541
y[1] (numeric) = -0.94733094385685312639034022269538
absolute error = 3e-32
relative error = 3.1667919426194911310299616421751e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = -0.94701021396802561918976419820327
y[1] (numeric) = -0.94701021396802561918976419820324
absolute error = 3e-32
relative error = 3.1678644599088669434312332323760e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = -0.94668853706906306147876906886782
y[1] (numeric) = -0.94668853706906306147876906886779
absolute error = 3e-32
relative error = 3.1689408739308979734705779076782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=343.3MB, alloc=4.4MB, time=39.75
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = -0.9463659134816423254135051923513
y[1] (numeric) = -0.94636591348164232541350519235127
absolute error = 3e-32
relative error = 3.1700211908130968597626266847048e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = -0.94604234352838697152941057836621
y[1] (numeric) = -0.94604234352838697152941057836617
absolute error = 4e-32
relative error = 4.2281405556134876054048987746768e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = -0.94571782753286692611767723853306
y[1] (numeric) = -0.94571782753286692611767723853302
absolute error = 4e-32
relative error = 4.2295914104051150834483479325457e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = -0.94539236581959815765535185934806
y[1] (numeric) = -0.94539236581959815765535185934802
absolute error = 4e-32
relative error = 4.2310474937379479145466591601514e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = -0.94506595871404235228939436813284
y[1] (numeric) = -0.9450659587140423522893943681328
absolute error = 4e-32
relative error = 4.2325088139274713463096020104930e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = -0.94473860654260658837501890788084
y[1] (numeric) = -0.9447386065426065883750189078808
absolute error = 4e-32
relative error = 4.2339753793258418658929858341907e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = -0.9444103096326430100686426826321
y[1] (numeric) = -0.94441030963264301006864268263206
absolute error = 4e-32
relative error = 4.2354471983220102010415094476938e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = -0.94408106831244849997576908040049
y[1] (numeric) = -0.94408106831244849997576908040045
absolute error = 4e-32
relative error = 4.2369242793418449997015765961453e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = -0.94375088291126435085413242574299
y[1] (numeric) = -0.94375088291126435085413242574294
absolute error = 5e-32
relative error = 5.2980082885603214896971778732447e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = -0.9434197537592759363724326587988
y[1] (numeric) = -0.94341975375927593637243265879875
absolute error = 5e-32
relative error = 5.2998678266766562955884517671800e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = -0.94308768118761238092498918203633
y[1] (numeric) = -0.94308768118761238092498918203629
absolute error = 4e-32
relative error = 4.2413871793584198592196887358540e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = -0.94275466552834622850264406002658
y[1] (numeric) = -0.94275466552834622850264406002654
absolute error = 4e-32
relative error = 4.2428853934743324811751310489138e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = -0.9424207071144931106202457013121
y[1] (numeric) = -0.94242070711449311062024570131206
absolute error = 4e-32
relative error = 4.2443889123014003455555772710017e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = -0.94208580628001141330104509486035
y[1] (numeric) = -0.94208580628001141330104509486031
absolute error = 4e-32
relative error = 4.2458977444896353441437345614507e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = -0.94174996335980194311833761667723
y[1] (numeric) = -0.94174996335980194311833761667719
absolute error = 4e-32
relative error = 4.2474118987268523477649775048180e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=347.1MB, alloc=4.4MB, time=40.19
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = -0.94141317868970759229468436491135
y[1] (numeric) = -0.94141317868970759229468436491132
absolute error = 3e-32
relative error = 3.1866985378040988333415317786738e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = -0.9410754526065130028590479241997
y[1] (numeric) = -0.94107545260651300285904792419966
absolute error = 4e-32
relative error = 4.2504562082892828890723038091625e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = -0.94073678544794422986217840209091
y[1] (numeric) = -0.94073678544794422986217840209087
absolute error = 4e-32
relative error = 4.2519863811803077681263586423758e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = -0.94039717755266840365058652213218
y[1] (numeric) = -0.94039717755266840365058652213214
absolute error = 4e-32
relative error = 4.2535219112521993836392122744026e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = -0.94005662926029339119944149961845
y[1] (numeric) = -0.94005662926029339119944149961842
absolute error = 3e-32
relative error = 3.1912971055378052698935892585948e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = -0.93971514091136745650473236707785
y[1] (numeric) = -0.93971514091136745650473236707781
absolute error = 4e-32
relative error = 4.2566090784923024766840700260820e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = -0.93937271284737892003503235730367
y[1] (numeric) = -0.93937271284737892003503235730363
absolute error = 4e-32
relative error = 4.2581607335339802336970531862701e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = -0.93902934541075581724320689214026
y[1] (numeric) = -0.93902934541075581724320689214022
absolute error = 4e-32
relative error = 4.2597177815037251486885291800682e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = -0.93868503894486555613840666528628
y[1] (numeric) = -0.93868503894486555613840666528624
absolute error = 4e-32
relative error = 4.2612802314354807946380798435222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = -0.93833979379401457391868824709369
y[1] (numeric) = -0.93833979379401457391868824709366
absolute error = 3e-32
relative error = 3.1971360693017389343236667153459e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = -0.93799361030344799266460557871336
y[1] (numeric) = -0.93799361030344799266460557871333
absolute error = 3e-32
relative error = 3.1983160301374307024839609442269e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = -0.93764648881934927409411666196697
y[1] (numeric) = -0.93764648881934927409411666196694
absolute error = 3e-32
relative error = 3.1995000629474889538112303575162e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = -0.93729842968883987337915069000988
y[1] (numeric) = -0.93729842968883987337915069000985
absolute error = 3e-32
relative error = 3.2006881746253714920767397860478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = -0.9369494332599788920241818021889
y[1] (numeric) = -0.93694943325997889202418180218887
absolute error = 3e-32
relative error = 3.2018803720942949633749874291349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=350.9MB, alloc=4.4MB, time=40.63
x[1] = 0.358
y[1] (analytic) = -0.93659949988176272980715658449232
y[1] (numeric) = -0.93659949988176272980715658449229
absolute error = 3e-32
relative error = 3.2030766623073395200078838067938e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = -0.93624862990412473578312337463565
y[1] (numeric) = -0.93624862990412473578312337463562
absolute error = 3e-32
relative error = 3.2042770522475540594471244594800e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = -0.93589682367793485835091236812474
y[1] (numeric) = -0.93589682367793485835091236812471
absolute error = 3e-32
relative error = 3.2054815489280620414938528820822e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = -0.93554408155499929438321645858698
y[1] (numeric) = -0.93554408155499929438321645858694
absolute error = 4e-32
relative error = 4.2755868791895571823682535910235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = -0.93519040388806013742042368226048
y[1] (numeric) = -0.93519040388806013742042368226045
absolute error = 3e-32
relative error = 3.2079028907134639597468440044662e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = -0.93483579103079502492855307277957
y[1] (numeric) = -0.93483579103079502492855307277954
absolute error = 3e-32
relative error = 3.2091197499959381393648021765990e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = -0.93448024333781678462164666829116
y[1] (numeric) = -0.93448024333781678462164666829114
absolute error = 2e-32
relative error = 2.1402271629160546537780459738189e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = -0.93412376116467307984897134848078
y[1] (numeric) = -0.93412376116467307984897134848076
absolute error = 2e-32
relative error = 2.1410439206753329803056751644823e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = -0.93376634486784605404738511427659
y[1] (numeric) = -0.93376634486784605404738511427656
absolute error = 3e-32
relative error = 3.2127951671085163803701676394546e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = -0.93340799480475197425922335783568
y[1] (numeric) = -0.93340799480475197425922335783566
absolute error = 2e-32
relative error = 2.1426857399248601470391778032130e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = -0.93304871133374087371606160489668
y[1] (numeric) = -0.93304871133374087371606160489665
absolute error = 3e-32
relative error = 3.2152662166069207973428843502462e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = -0.9326884948140961934887121457059
y[1] (numeric) = -0.93268849481409619348871214570587
absolute error = 3e-32
relative error = 3.2165079945560613780938303108517e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = -0.93232734560603442320381290449088
y[1] (numeric) = -0.93232734560603442320381290449085
absolute error = 3e-32
relative error = 3.2177539510545304667223695003417e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = -0.93196526407070474082736783086223
y[1] (numeric) = -0.9319652640707047408273678308622
absolute error = 3e-32
relative error = 3.2190040934534241931254419649466e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = -0.93160225057018865151559902957351
y[1] (numeric) = -0.93160225057018865151559902957349
absolute error = 2e-32
relative error = 2.1468389527568195466535511812591e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=354.7MB, alloc=4.4MB, time=41.07
x[1] = 0.373
y[1] (analytic) = -0.93123830546749962553347177775691
y[1] (numeric) = -0.93123830546749962553347177775689
absolute error = 2e-32
relative error = 2.1476779770092912468647562045146e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = -0.93087342912658273524125451107944
y[1] (numeric) = -0.93087342912658273524125451107942
absolute error = 2e-32
relative error = 2.1485198066901042527760830637491e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = -0.93050762191231429114947679222956
y[1] (numeric) = -0.93050762191231429114947679222953
absolute error = 3e-32
relative error = 3.2240466701762307731441363690779e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = -0.93014088419050147704264920674576
y[1] (numeric) = -0.93014088419050147704264920674573
absolute error = 3e-32
relative error = 3.2253178534463518808043741237081e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = -0.92977321632788198417211006243701
y[1] (numeric) = -0.92977321632788198417211006243698
absolute error = 3e-32
relative error = 3.2265932673866765778859398975929e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = -0.92940461869212364451836469951764
y[1] (numeric) = -0.92940461869212364451836469951761
absolute error = 3e-32
relative error = 3.2278729195704435706438143662800e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = -0.92903509165182406312328414908702
y[1] (numeric) = -0.92903509165182406312328414908699
absolute error = 3e-32
relative error = 3.2291568176030908209124896975803e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = -0.92866463557651024949253080772456
y[1] (numeric) = -0.92866463557651024949253080772453
absolute error = 3e-32
relative error = 3.2304449691223736164771359091780e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = -0.92829325083663824806857972574377
y[1] (numeric) = -0.92829325083663824806857972574374
absolute error = 3e-32
relative error = 3.2317373817984832903550447960065e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = -0.9279209378035927677747050360532
y[1] (numeric) = -0.92792093780359276777470503605317
absolute error = 3e-32
relative error = 3.2330340633341665926171423930305e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = -0.92754769684968681063030197960704
y[1] (numeric) = -0.92754769684968681063030197960701
absolute error = 3e-32
relative error = 3.2343350214648457184045939861242e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = -0.92717352834816129943791591209232
y[1] (numeric) = -0.92717352834816129943791591209229
absolute error = 3e-32
relative error = 3.2356402639587389958209464662573e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = -0.92679843267318470454235060479278
y[1] (numeric) = -0.92679843267318470454235060479275
absolute error = 3e-32
relative error = 3.2369497986169822374058629419163e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = -0.92642241019985266966222908048989
y[1] (numeric) = -0.92642241019985266966222908048986
absolute error = 3e-32
relative error = 3.2382636332737507589223055980931e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = -0.92604546130418763679438115280913
y[1] (numeric) = -0.9260454613041876367943811528091
absolute error = 3e-32
relative error = 3.2395817757963820692150164486753e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=358.5MB, alloc=4.4MB, time=41.52
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = -0.92566758636313847019143276459259
y[1] (numeric) = -0.92566758636313847019143276459256
absolute error = 3e-32
relative error = 3.2409042340854992349243335191523e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = -0.92528878575458007941297314767738
y[1] (numeric) = -0.92528878575458007941297314767735
absolute error = 3e-32
relative error = 3.2422310160751349238657637799078e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = -0.9249090598573130414506767528811
y[1] (numeric) = -0.92490905985731304145067675288107
absolute error = 3e-32
relative error = 3.2435621297328561309123155040867e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = -0.92452840905106322192775782504114
y[1] (numeric) = -0.9245284090510632219277578250411
absolute error = 4e-32
relative error = 4.3265301107465194536578311209427e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = -0.92414683371648139537313642362145
y[1] (numeric) = -0.92414683371648139537313642362141
absolute error = 4e-32
relative error = 4.3283165121216638371345079755460e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = -0.92376433423514286457069561468935
y[1] (numeric) = -0.92376433423514286457069561468932
absolute error = 3e-32
relative error = 3.2475815408958562082207805846414e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = -0.92338091098954707898401048497331
y[1] (numeric) = -0.92338091098954707898401048497327
absolute error = 4e-32
relative error = 4.3319067487689065721800624441423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = -0.92299656436311725225693055324085
y[1] (numeric) = -0.92299656436311725225693055324082
absolute error = 3e-32
relative error = 3.2502829542708527185672484253224e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = -0.92261129474019997879039807838253
y[1] (numeric) = -0.9226112947401999787903980783825
absolute error = 3e-32
relative error = 3.2516402271498054876723726603222e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = -0.92222510250606484939588568735141
y[1] (numeric) = -0.92222510250606484939588568735138
absolute error = 3e-32
relative error = 3.2530018884193959938996614181552e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = -0.92183798804690406602583766948861
y[1] (numeric) = -0.92183798804690406602583766948858
absolute error = 3e-32
relative error = 3.2543679463200391682854310212445e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = -0.92144995174983205558150020676146
y[1] (numeric) = -0.92144995174983205558150020676143
absolute error = 3e-32
relative error = 3.2557384091268381610112860356623e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = -0.9210609940028850827985267320518
y[1] (numeric) = -0.92106099400288508279852673205177
absolute error = 3e-32
relative error = 3.2571132851497161093417898654763e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = -0.92067111519502086221074552985688
y[1] (numeric) = -0.92067111519502086221074552985685
absolute error = 3e-32
relative error = 3.2584925827335486320845248670249e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = -0.92028031571611816919247761560285
y[1] (numeric) = -0.92028031571611816919247761560282
absolute error = 3e-32
relative error = 3.2598763102582970547445635374038e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=362.4MB, alloc=4.4MB, time=41.96
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = -0.91988859595697645007979385122064
y[1] (numeric) = -0.9198885959569764500797938512206
absolute error = 4e-32
relative error = 4.3483526348521898260995760060411e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = -0.91949595630931543137110117569449
y[1] (numeric) = -0.91949595630931543137110117569445
absolute error = 4e-32
relative error = 4.3502094517688265796695726327659e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = -0.91910239716577472800744874996453
y[1] (numeric) = -0.91910239716577472800744874996449
absolute error = 4e-32
relative error = 4.3520722090756732225905658718407e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = -0.9187079189199134507329457358444
y[1] (numeric) = -0.91870791891991345073294573584436
absolute error = 4e-32
relative error = 4.3539409181349313087243092033664e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = -0.91831252196620981253568334850355
y[1] (numeric) = -0.91831252196620981253568334850351
absolute error = 4e-32
relative error = 4.3558155903564863132271856123478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = -0.91791620670006073416955474155938
y[1] (numeric) = -0.91791620670006073416955474155934
absolute error = 4e-32
relative error = 4.3576962371980912306707853138887e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = -0.91751897351778144875736720292634
y[1] (numeric) = -0.9175189735177814487573672029263
absolute error = 4e-32
relative error = 4.3595828701655511874716075458529e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = -0.91712082281660510547564205827702
y[1] (numeric) = -0.91712082281660510547564205827698
absolute error = 4e-32
relative error = 4.3614755008129090745136801784660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = -0.91672175499468237232149859728209
y[1] (numeric) = -0.91672175499468237232149859728206
absolute error = 3e-32
relative error = 3.2725306055569741544170648836729e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = -0.91632177045108103796201925571231
y[1] (numeric) = -0.91632177045108103796201925571227
absolute error = 4e-32
relative error = 4.3652788016058000097259025098800e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = -0.91592086958578561266649420400396
y[1] (numeric) = -0.91592086958578561266649420400392
absolute error = 4e-32
relative error = 4.3671894951022927571058826353731e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = -0.91551905279969692832194441001016
y[1] (numeric) = -0.91551905279969692832194441001012
absolute error = 4e-32
relative error = 4.3691062329809813351353911697931e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = -0.91511632049463173753232316038139
y[1] (numeric) = -0.91511632049463173753232316038135
absolute error = 4e-32
relative error = 4.3710290270399180702525613036609e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = -0.9147126730733223118017969413405
y[1] (numeric) = -0.91471267307332231180179694134046
absolute error = 4e-32
relative error = 4.3729578891265286079154791495357e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = -0.91430811093941603880250749553771
y[1] (numeric) = -0.91430811093941603880250749553767
absolute error = 4e-32
relative error = 4.3748928311378048548503370948739e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=366.2MB, alloc=4.4MB, time=42.42
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = -0.91390263449747501872721778719006
y[1] (numeric) = -0.91390263449747501872721778719002
absolute error = 4e-32
relative error = 4.3768338650204989900849834472846e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = -0.91349624415297565972724552282569
y[1] (numeric) = -0.91349624415297565972724552282565
absolute error = 4e-32
relative error = 4.3787810027713185510371160745096e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = -0.91308894031230827243608878966567
y[1] (numeric) = -0.91308894031230827243608878966562
absolute error = 5e-32
relative error = 5.4759178205464032512135787452727e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = -0.91268072338277666357914928798398
y[1] (numeric) = -0.91268072338277666357914928798393
absolute error = 5e-32
relative error = 5.4783670476438987302254153742836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = -0.91227159377259772866995954768862
y[1] (numeric) = -0.91227159377259772866995954768857
absolute error = 5e-32
relative error = 5.4808239499413283441298754257709e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = -0.91186155189090104379332143286255
y[1] (numeric) = -0.91186155189090104379332143286249
absolute error = 6e-32
relative error = 6.5799462512241828438278160161524e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = -0.911450598147728456475764151092
y[1] (numeric) = -0.91145059814772845647576415109194
absolute error = 6e-32
relative error = 6.5829130094306180070141194235672e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = -0.91103873295403367564373089709014
y[1] (numeric) = -0.91103873295403367564373089709008
absolute error = 6e-32
relative error = 6.5858890329997957523341261508542e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = -0.91062595672168186066990417239512
y[1] (numeric) = -0.91062595672168186066990417239506
absolute error = 6e-32
relative error = 6.5888743404596397274853205858734e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = -0.91021226986344920950808073478303
y[1] (numeric) = -0.91021226986344920950808073478297
absolute error = 6e-32
relative error = 6.5918689504154068544894060422267e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = -0.90979767279302254591700804248653
y[1] (numeric) = -0.90979767279302254591700804248647
absolute error = 6e-32
relative error = 6.5948728815499949064215543772186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = -0.90938216592499890577359496934819
y[1] (numeric) = -0.90938216592499890577359496934812
absolute error = 7e-32
relative error = 7.6975338447282937602708700478658e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = -0.90896574967488512247591047766345
y[1] (numeric) = -0.90896574967488512247591047766338
absolute error = 7e-32
relative error = 7.7010602462235010051331287561952e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = -0.90854842445909741143638484567998
y[1] (numeric) = -0.90854842445909741143638484567992
absolute error = 6e-32
relative error = 6.6039407900267821916551472578578e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = -0.90813019069496095366562895651753
y[1] (numeric) = -0.90813019069496095366562895651747
absolute error = 6e-32
relative error = 6.6069821942693099470889416822684e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=370.0MB, alloc=4.4MB, time=42.90
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = -0.90771104880070947844728806465426
y[1] (numeric) = -0.9077110488007094784472880646542
absolute error = 6e-32
relative error = 6.6100330142806457420313217650038e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = -0.90729099919548484510434736509116
y[1] (numeric) = -0.9072909991954848451043473650911
absolute error = 6e-32
relative error = 6.6130932692160880641632937609755e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = -0.90687004229933662385730759885391
y[1] (numeric) = -0.90687004229933662385730759885385
absolute error = 6e-32
relative error = 6.6161629783107777543970768260680e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = -0.90644817853322167577464983662187
y[1] (numeric) = -0.90644817853322167577464983662181
absolute error = 6e-32
relative error = 6.6192421608800195554227719349428e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = -0.90602540831900373181600948998423
y[1] (numeric) = -0.90602540831900373181600948998417
absolute error = 6e-32
relative error = 6.6223308363196054540380072249165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = -0.90560173207945297096848050711436
y[1] (numeric) = -0.90560173207945297096848050711431
absolute error = 5e-32
relative error = 5.5211908534217831900211504291377e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = -0.90517715023824559747647161652294
y[1] (numeric) = -0.90517715023824559747647161652289
absolute error = 5e-32
relative error = 5.5237806198311386736832405085010e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = -0.90475166321996341716553738899837
y[1] (numeric) = -0.90475166321996341716553738899832
absolute error = 5e-32
relative error = 5.5263783458604142234054266009053e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = -0.90432527145009341286060779386822
y[1] (numeric) = -0.90432527145009341286060779386817
absolute error = 5e-32
relative error = 5.5289840479437853730055977761510e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = -0.90389797535502731889904083131662
y[1] (numeric) = -0.90389797535502731889904083131657
absolute error = 5e-32
relative error = 5.5315977425838703579598813502730e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = -0.90346977536206119473892372766962
y[1] (numeric) = -0.90346977536206119473892372766957
absolute error = 5e-32
relative error = 5.5342194463520087269177396808804e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = -0.9030406718993949976630490853117
y[1] (numeric) = -0.90304067189939499766304908531165
absolute error = 5e-32
relative error = 5.5368491758885415122029093556919e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = -0.9026106653961321545789932832218
y[1] (numeric) = -0.90261066539613215457899328322175
absolute error = 5e-32
relative error = 5.5394869479030929687330209683516e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = -0.90217975628227913291572532801462
y[1] (numeric) = -0.90217975628227913291572532801456
absolute error = 6e-32
relative error = 6.6505593350098246690306403333010e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = -0.9017479449887450106171752588427
y[1] (numeric) = -0.90174794498874501061717525884264
absolute error = 6e-32
relative error = 6.6537440238634398200315461615375e-30 %
Correct digits = 31
h = 0.001
memory used=373.8MB, alloc=4.4MB, time=43.39
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = -0.90131523194734104523319211255506
y[1] (numeric) = -0.901315231947341045233192112555
absolute error = 6e-32
relative error = 6.6569384243475732354794423678882e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = -0.90088161759078024210832235811838
y[1] (numeric) = -0.90088161759078024210832235811832
absolute error = 6e-32
relative error = 6.6601425568497523995856629546146e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = -0.90044710235267692166884061148645
y[1] (numeric) = -0.90044710235267692166884061148639
absolute error = 6e-32
relative error = 6.6633564418423637306667640260697e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = -0.90001168666754628580846534385106
y[1] (numeric) = -0.900011686667546285808465343851
absolute error = 6e-32
relative error = 6.6665800998830022027941467996843e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = -0.89957537097080398337319319752249
y[1] (numeric) = -0.89957537097080398337319319752243
absolute error = 6e-32
relative error = 6.6698135516148229311078456610421e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = -0.89913815569876567474568642456905
y[1] (numeric) = -0.89913815569876567474568642456898
absolute error = 7e-32
relative error = 7.7852329540613771882508402790809e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = -0.89870004128864659552964886379195
y[1] (numeric) = -0.89870004128864659552964886379188
absolute error = 7e-32
relative error = 7.7890282390136482883774724409913e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = -0.89826102817856111933462677162328
y[1] (numeric) = -0.89826102817856111933462677162321
absolute error = 7e-32
relative error = 7.7928350227930657318242114050782e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = -0.89782111680752231966167172210963
y[1] (numeric) = -0.89782111680752231966167172210955
absolute error = 8e-32
relative error = 8.9104609484419877530028894666577e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = -0.89738030761544153089030369028207
y[1] (numeric) = -0.89738030761544153089030369028199
absolute error = 8e-32
relative error = 8.9148379255813538812605928117764e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = -0.89693860104312790836721333191287
y[1] (numeric) = -0.89693860104312790836721333191279
absolute error = 8e-32
relative error = 8.9192281285431402082849144719692e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = -0.89649599753228798759714337091984
y[1] (numeric) = -0.89649599753228798759714337091977
absolute error = 7e-32
relative error = 7.8081776374555310351907550883255e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = -0.89605249752552524253638990350041
y[1] (numeric) = -0.89605249752552524253638990350033
absolute error = 8e-32
relative error = 8.9280483253963693138611534840747e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = -0.89560810146633964298936532545704
y[1] (numeric) = -0.89560810146633964298936532545697
absolute error = 7e-32
relative error = 7.8159185792750297153765195722161e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=377.6MB, alloc=4.4MB, time=43.84
x[1] = 0.462
y[1] (analytic) = -0.89516280979912721110866548611451
y[1] (numeric) = -0.89516280979912721110866548611444
absolute error = 7e-32
relative error = 7.8198065462201075461679952175541e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = -0.8947166229691795769990845687246
y[1] (numeric) = -0.89471662296917957699908456872453
absolute error = 7e-32
relative error = 7.8237062107665009090266033624380e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = -0.89426954142268353342602209330656
y[1] (numeric) = -0.89426954142268353342602209330649
absolute error = 7e-32
relative error = 7.8276175982285803193570148602873e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = -0.89382156560672058962872733347906
y[1] (numeric) = -0.89382156560672058962872733347899
absolute error = 7e-32
relative error = 7.8315407340260838170203449526721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = -0.89337269596926652423882733400213
y[1] (numeric) = -0.89337269596926652423882733400206
absolute error = 7e-32
relative error = 7.8354756436845607387719382912681e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = -0.89292293295919093730458561046372
y[1] (numeric) = -0.89292293295919093730458561046366
absolute error = 6e-32
relative error = 6.7195048738592725736157855109904e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = -0.892472277026256801421339506815
y[1] (numeric) = -0.89247227702625680142133950681494
absolute error = 6e-32
relative error = 6.7228979033300305021982477387622e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = -0.89202072862112001196856508027942
y[1] (numeric) = -0.89202072862112001196856508027936
absolute error = 6e-32
relative error = 6.7263010908667581836020595268139e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = -0.89156828819532893645401927653339
y[1] (numeric) = -0.89156828819532893645401927653333
absolute error = 6e-32
relative error = 6.7297144587151265211217767311412e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = -0.89111495620132396296541005097869
y[1] (numeric) = -0.89111495620132396296541005097863
absolute error = 6e-32
relative error = 6.7331380292134362614890734031997e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = -0.89066073309243704773004598439895
y[1] (numeric) = -0.89066073309243704773004598439888
absolute error = 7e-32
relative error = 7.8593337955918467406045540715436e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = -0.89020561932289126178291783331278
y[1] (numeric) = -0.89020561932289126178291783331271
absolute error = 7e-32
relative error = 7.8633518459750279340913563319400e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = -0.88974961534780033674366534690441
y[1] (numeric) = -0.88974961534780033674366534690434
absolute error = 7e-32
relative error = 7.8673818782868728000976041579868e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = -0.88929272162316820970288357352693
y[1] (numeric) = -0.88929272162316820970288357352686
absolute error = 7e-32
relative error = 7.8714239190256217655112772325557e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = -0.88883493860588856721822377043406
y[1] (numeric) = -0.88883493860588856721822377043399
absolute error = 7e-32
relative error = 7.8754779947999050433051671733229e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=381.4MB, alloc=4.4MB, time=44.28
x[1] = 0.477
y[1] (analytic) = -0.88837626675374438842074492060154
y[1] (numeric) = -0.88837626675374438842074492060147
absolute error = 7e-32
relative error = 7.8795441323292149127982745102954e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = -0.88791670652540748723197275024844
y[1] (numeric) = -0.88791670652540748723197275024837
absolute error = 7e-32
relative error = 7.8836223584443806898751369501239e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = -0.88745625838043805369212402996133
y[1] (numeric) = -0.88745625838043805369212402996126
absolute error = 7e-32
relative error = 7.8877127000880464040807464747133e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = -0.88699492277928419439995483115874
y[1] (numeric) = -0.88699492277928419439995483115867
absolute error = 7e-32
relative error = 7.8918151843151511996340790165496e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = -0.88653270018328147206469229800935
y[1] (numeric) = -0.88653270018328147206469229800928
absolute error = 7e-32
relative error = 7.8959298382934124775296563195643e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = -0.88606959105465244417051038283381
y[1] (numeric) = -0.88606959105465244417051038283373
absolute error = 8e-32
relative error = 9.0286362163472134811702795621024e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = -0.88560559585650620075401088047591
y[1] (numeric) = -0.88560559585650620075401088047584
absolute error = 7e-32
relative error = 7.9041957647410835469322785153679e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = -0.88514071505283790129517198412375
y[1] (numeric) = -0.88514071505283790129517198412368
absolute error = 7e-32
relative error = 7.9083470921142064252901406505612e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = -0.88467494910852831072222747159347
y[1] (numeric) = -0.8846749491085283107222274715934
absolute error = 7e-32
relative error = 7.9125106990468977100660380343320e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = -0.88420829848934333453094051715798
y[1] (numeric) = -0.8842082984893433345309405171579
absolute error = 8e-32
relative error = 9.0476418437464118557044622221059e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = -0.88374076366193355301873700960789
y[1] (numeric) = -0.88374076366193355301873700960782
absolute error = 7e-32
relative error = 7.9208748626625330387085346625605e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = -0.88327234509383375463416414237277
y[1] (numeric) = -0.8832723450938337546341641423727
absolute error = 7e-32
relative error = 7.9250754751710927985700309438268e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = -0.88280304325346246844214092620495
y[1] (numeric) = -0.88280304325346246844214092620488
absolute error = 7e-32
relative error = 7.9292884788914609225586249573444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = -0.88233285861012149570546815913666
y[1] (numeric) = -0.88233285861012149570546815913659
absolute error = 7e-32
relative error = 7.9335139020285614614322898768237e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = -0.88186179163399544058306627216136
y[1] (numeric) = -0.8818617916339954405830662721613
absolute error = 6e-32
relative error = 6.8037872339186423771458180149669e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=385.2MB, alloc=4.4MB, time=44.72
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = -0.88138984279615123994541035236238
y[1] (numeric) = -0.88138984279615123994541035236232
absolute error = 6e-32
relative error = 6.8074303885388502756567142182806e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = -0.88091701256853769230763252801455
y[1] (numeric) = -0.88091701256853769230763252801449
absolute error = 6e-32
relative error = 6.8110842615077592256210657217799e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = -0.88044330142398498588076278251734
y[1] (numeric) = -0.88044330142398498588076278251728
absolute error = 6e-32
relative error = 6.8147488774074377260001021842418e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = -0.87996870983620422574158014587922
y[1] (numeric) = -0.87996870983620422574158014587916
absolute error = 6e-32
relative error = 6.8184242609226742630885404867563e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = -0.87949323827978696012154709386275
y[1] (numeric) = -0.8794932382797869601215470938627
absolute error = 5e-32
relative error = 5.6850920307011904311183354956304e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = -0.8790168872302047058153008658165
y[1] (numeric) = -0.87901688723020470581530086581645
absolute error = 5e-32
relative error = 5.6881728583794043088846712869201e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = -0.87853965716380847270917629266282
y[1] (numeric) = -0.87853965716380847270917629266278
absolute error = 4e-32
relative error = 4.5530101770399402205582519670933e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = -0.87806154855782828743023560647926
y[1] (numeric) = -0.87806154855782828743023560647922
absolute error = 4e-32
relative error = 4.5554893123036737266519043083824e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = -0.87758256189037271611628158260383
y[1] (numeric) = -0.87758256189037271611628158260379
absolute error = 4e-32
relative error = 4.5579757092981964892533110728198e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = -0.87710269764042838630733124421144
y[1] (numeric) = -0.8771026976404283863073312442114
absolute error = 4e-32
relative error = 4.5604693848972920796140702408917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = -0.87662195628785950795902823784783
y[1] (numeric) = -0.87662195628785950795902823784779
absolute error = 4e-32
relative error = 4.5629703560453664914561516095828e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = -0.87614033831340739357847286646878
y[1] (numeric) = -0.87614033831340739357847286646874
absolute error = 4e-32
relative error = 4.5654786397577613177711358363898e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = -0.87565784419868997748294964411447
y[1] (numeric) = -0.87565784419868997748294964411443
absolute error = 4e-32
relative error = 4.5679942531210687409831864359761e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = -0.87517447442620133418203311345153
y[1] (numeric) = -0.87517447442620133418203311345148
absolute error = 5e-32
relative error = 5.7131465166168104352646834368715e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = -0.87469022947931119588355354403665
y[1] (numeric) = -0.87469022947931119588355354403661
absolute error = 4e-32
relative error = 4.5730475375049457834588029441787e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=389.1MB, alloc=4.4MB, time=45.16
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = -0.87420510984226446912390500529606
y[1] (numeric) = -0.87420510984226446912390500529602
absolute error = 4e-32
relative error = 4.5755852430578132486351519069691e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = -0.87371911600018075052317918387225
y[1] (numeric) = -0.87371911600018075052317918387221
absolute error = 4e-32
relative error = 4.5781303473268318654304665303501e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = -0.87323224843905384166560919016402
y[1] (numeric) = -0.87323224843905384166560919016398
absolute error = 4e-32
relative error = 4.5806828677596359101230674830635e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = -0.87274450764575126310580847357551
y[1] (numeric) = -0.87274450764575126310580847357546
absolute error = 5e-32
relative error = 5.7290535273462986668964966498672e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = -0.87225589410801376750129084019472
y[1] (numeric) = -0.87225589410801376750129084019467
absolute error = 5e-32
relative error = 5.7322627840917022228603212421656e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = -0.87176640831445485187175844034113
y[1] (numeric) = -0.87176640831445485187175844034108
absolute error = 5e-32
relative error = 5.7354813770209531326373923081482e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = -0.87127605075456026898564546665356
y[1] (numeric) = -0.87127605075456026898564546665352
absolute error = 4e-32
relative error = 4.5909674626495682470312314063049e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = -0.87078482191868753787440617613407
y[1] (numeric) = -0.87078482191868753787440617613403
absolute error = 4e-32
relative error = 4.5935573281886089836670123159449e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = -0.87029272229806545347503672181887
y[1] (numeric) = -0.87029272229806545347503672181883
absolute error = 4e-32
relative error = 4.5961547161255532828603940531953e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = -0.86979975238479359540132115151374
y[1] (numeric) = -0.8697997523847935954013211515137
absolute error = 4e-32
relative error = 4.5987596444272459875734004399392e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = -0.86930591267184183584429280230693
y[1] (numeric) = -0.86930591267184183584429280230689
absolute error = 4e-32
relative error = 4.6013721311360478818586380272430e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = -0.86881120365304984660240319035711
y[1] (numeric) = -0.86881120365304984660240319035707
absolute error = 4e-32
relative error = 4.6039921943701773418636431114660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = -0.8683156258231266052418913657465
y[1] (numeric) = -0.86831562582312660524189136574645
absolute error = 5e-32
relative error = 5.7582748154050674823981753685196e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = -0.86781917967764990038784757198851
y[1] (numeric) = -0.86781917967764990038784757198847
absolute error = 4e-32
relative error = 4.6092551232686443368576751445101e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = -0.86732186571306583614646591908526
y[1] (numeric) = -0.86732186571306583614646591908522
absolute error = 4e-32
relative error = 4.6118980255518095098267397046686e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=392.9MB, alloc=4.4MB, time=45.61
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = -0.8668236844266883356589816478407
y[1] (numeric) = -0.86682368442668833565898164784066
absolute error = 4e-32
relative error = 4.6145485775986549389286285354452e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = -0.86632463631669864378778943145095
y[1] (numeric) = -0.8663246363166986437877894314509
absolute error = 5e-32
relative error = 5.7715084973898526952048160519882e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = -0.86582472188214482893524002821195
y[1] (numeric) = -0.8658247218821448289352400282119
absolute error = 5e-32
relative error = 5.7748408813401782952810118012741e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = -0.86532394162294128399561346650638
y[1] (numeric) = -0.86532394162294128399561346650633
absolute error = 5e-32
relative error = 5.7781828971729921510094477926145e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = -0.86482229603986822644076781005499
y[1] (numeric) = -0.86482229603986822644076781005493
absolute error = 6e-32
relative error = 6.9378414819723849543150224637186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = -0.86431978563457119753996341774188
y[1] (numeric) = -0.86431978563457119753996341774183
absolute error = 5e-32
relative error = 5.7848959182729707726145301565256e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = -0.86381641090956056071436347814793
y[1] (numeric) = -0.86381641090956056071436347814788
absolute error = 5e-32
relative error = 5.7882669706809814467208100484530e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = -0.86331217236821099902671246424977
y[1] (numeric) = -0.86331217236821099902671246424972
absolute error = 5e-32
relative error = 5.7916477492540804767390032112096e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = -0.8628070705147610118066950185642
y[1] (numeric) = -0.86280707051476101180669501856415
absolute error = 5e-32
relative error = 5.7950382778121419805413676256977e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = -0.86230110585431241041247864333708
y[1] (numeric) = -0.86230110585431241041247864333702
absolute error = 6e-32
relative error = 6.9581262963307768831250672570187e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = -0.86179427889282981312894443419202
y[1] (numeric) = -0.86179427889282981312894443419196
absolute error = 6e-32
relative error = 6.9622184167993789255190612218676e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = -0.86128659013714013920311095896611
y[1] (numeric) = -0.86128659013714013920311095896605
absolute error = 6e-32
relative error = 6.9663223237280840362209646726644e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = -0.86077804009493210201725724626652
y[1] (numeric) = -0.86077804009493210201725724626646
absolute error = 6e-32
relative error = 6.9704380461870073547582646750314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = -0.86026862927475570140025171058284
y[1] (numeric) = -0.86026862927475570140025171058278
absolute error = 6e-32
relative error = 6.9745656133692378696941397591672e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = -0.85975835818602171507759470258392
y[1] (numeric) = -0.85975835818602171507759470258386
absolute error = 6e-32
relative error = 6.9787050545914080159767718285692e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=396.7MB, alloc=4.4MB, time=46.06
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = -0.85924722733900118926068323451424
y[1] (numeric) = -0.85924722733900118926068323451418
absolute error = 6e-32
relative error = 6.9828563992942666502229762242513e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = -0.85873523724482492837580729138267
y[1] (numeric) = -0.8587352372448249283758072913826
absolute error = 7e-32
relative error = 8.1515229565504646643593869401644e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = -0.85822238841548298393338799890475
y[1] (numeric) = -0.85822238841548298393338799890468
absolute error = 7e-32
relative error = 8.1563940704506033621120016986360e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = -0.8577086813638241425379687789178
y[1] (numeric) = -0.85770868136382414253796877891773
absolute error = 7e-32
relative error = 8.1612791756630589610429824947340e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = -0.85719411660355541303947148223492
y[1] (numeric) = -0.85719411660355541303947148223486
absolute error = 6e-32
relative error = 6.9995814061040110468227817823185e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = -0.85667869464924151282623034763916
y[1] (numeric) = -0.8566786946492415128262303476391
absolute error = 6e-32
relative error = 7.0037927142061583974766900800962e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = -0.85616241601630435326031749394093
y[1] (numeric) = -0.85616241601630435326031749394086
absolute error = 7e-32
relative error = 8.1760187892511919156669162171029e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = -0.85564528122102252425567450973039
y[1] (numeric) = -0.85564528122102252425567450973032
absolute error = 7e-32
relative error = 8.1809602105335791870423860262884e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = -0.85512729078053077799956556265031
y[1] (numeric) = -0.85512729078053077799956556265024
absolute error = 7e-32
relative error = 8.1859157992848535713849778620390e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = -0.85460844521281951181786830669308
y[1] (numeric) = -0.85460844521281951181786830669301
absolute error = 7e-32
relative error = 8.1908855911865225332844360505886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = -0.8540887450367342501847197221881
y[1] (numeric) = -0.85408874503673425018471972218803
absolute error = 7e-32
relative error = 8.1958696220718034105711931561471e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = -0.8535681907719751258770348787904
y[1] (numeric) = -0.85356819077197512587703487879033
absolute error = 7e-32
relative error = 8.2008679279263370264982903990739e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = -0.85304678293909636027441746690851
y[1] (numeric) = -0.85304678293909636027441746690844
absolute error = 7e-32
relative error = 8.2058805448889055740534699281480e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = -0.85252452205950574280498179761777
y[1] (numeric) = -0.8525245220595057428049817976177
absolute error = 7e-32
relative error = 8.2109075092521548014298028327812e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = -0.8520014086554641095376068251937
y[1] (numeric) = -0.85200140865546410953760682519363
absolute error = 7e-32
relative error = 8.2159488574633205279119520290466e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=400.5MB, alloc=4.4MB, time=46.51
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = -0.85147744325008482092114359996793
y[1] (numeric) = -0.85147744325008482092114359996786
absolute error = 7e-32
relative error = 8.2210046261249595196659207381437e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = -0.85095262636733323867109841225574
y[1] (numeric) = -0.85095262636733323867109841225566
absolute error = 8e-32
relative error = 9.4012284022807825773176286040108e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = -0.85042695853202620180431474062843
y[1] (numeric) = -0.85042695853202620180431474062835
absolute error = 8e-32
relative error = 9.4070395108467486972832832671499e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = -0.84990044026983150182217796980501
y[1] (numeric) = -0.84990044026983150182217796980494
absolute error = 7e-32
relative error = 8.2362588231835694923798525004878e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = -0.84937307210726735704286769491463
y[1] (numeric) = -0.84937307210726735704286769491456
absolute error = 7e-32
relative error = 8.2413726428049154567510506198580e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = -0.8488448545717018860831832798337
y[1] (numeric) = -0.84884485457170188608318327983363
absolute error = 7e-32
relative error = 8.2465010682452223309316553586697e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = -0.84831578819135258049046918772829
y[1] (numeric) = -0.84831578819135258049046918772822
absolute error = 7e-32
relative error = 8.2516441370545688831215734088199e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = -0.8477858734952857765251674518325
y[1] (numeric) = -0.84778587349528577652516745183243
absolute error = 7e-32
relative error = 8.2568018869435955626152234743454e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = -0.84725511101341612609452550386632
y[1] (numeric) = -0.84725511101341612609452550386625
absolute error = 7e-32
relative error = 8.2619743557842713447532830497254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = -0.84672350127650606683798842634102
y[1] (numeric) = -0.84672350127650606683798842634095
absolute error = 7e-32
relative error = 8.2671615816106652118950827308323e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = -0.84619104481616529136480554331576
y[1] (numeric) = -0.84619104481616529136480554331569
absolute error = 7e-32
relative error = 8.2723636026197223023223841709989e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = -0.8456577421648502156443821119545
y[1] (numeric) = -0.84565774216485021564438211195443
absolute error = 7e-32
relative error = 8.2775804571720447592395663925512e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = -0.84512359385586344654990772448725
y[1] (numeric) = -0.84512359385586344654990772448718
absolute error = 7e-32
relative error = 8.2828121837926773122918027985893e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = -0.84458860042335324855579387690292
y[1] (numeric) = -0.84458860042335324855579387690285
absolute error = 7e-32
relative error = 8.2880588211718976242816604796919e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = -0.84405276240231300958945400689171
y[1] (numeric) = -0.84405276240231300958945400689163
memory used=404.3MB, alloc=4.4MB, time=46.95
absolute error = 8e-32
relative error = 9.4780804664754416411722481160841e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = -0.84351608032858070603796014921248
y[1] (numeric) = -0.8435160803285807060379601492124
absolute error = 8e-32
relative error = 9.4841108386264600486357621355084e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = -0.84297855473883836691011120178398
y[1] (numeric) = -0.8429785547388383669101112017839
absolute error = 8e-32
relative error = 9.4901583854389572961591418436842e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = -0.84244018617061153715444864038683
y[1] (numeric) = -0.84244018617061153715444864038676
absolute error = 7e-32
relative error = 8.3091952579080260358470795493314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = -0.84190097516226874013375636391601
y[1] (numeric) = -0.84190097516226874013375636391594
absolute error = 7e-32
relative error = 8.3145170352734343796971189888193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = -0.84136092225302093925658219563904
y[1] (numeric) = -0.84136092225302093925658219563897
absolute error = 7e-32
relative error = 8.3198539590538562436378514682829e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = -0.84082002798292099876631940889362
y[1] (numeric) = -0.84082002798292099876631940889355
absolute error = 7e-32
relative error = 8.3252060691187367919417876308037e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = -0.84027829289286314368838748809822
y[1] (numeric) = -0.84027829289286314368838748809815
absolute error = 7e-32
relative error = 8.3305734055092524518414345032634e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = -0.83973571752458241893605217784984
y[1] (numeric) = -0.83973571752458241893605217784977
absolute error = 7e-32
relative error = 8.3359560084391456615254044110915e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = -0.83919230242065414757542571424383
y[1] (numeric) = -0.83919230242065414757542571424376
absolute error = 7e-32
relative error = 8.3413539182955647248947738686124e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = -0.83864804812449338825018897337042
y[1] (numeric) = -0.83864804812449338825018897337035
absolute error = 7e-32
relative error = 8.3467671756399088087654233397208e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = -0.83810295518035439176657811222054
y[1] (numeric) = -0.83810295518035439176657811222046
absolute error = 8e-32
relative error = 9.5453666528099178497031903178206e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = -0.83755702413333005683917911696904
y[1] (numeric) = -0.83755702413333005683917911696896
absolute error = 8e-32
relative error = 9.5515884524735191865900449843717e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = -0.83701025552935138499807451279544
y[1] (numeric) = -0.83701025552935138499807451279536
absolute error = 8e-32
relative error = 9.5578279323955840259246461722027e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = -0.83646264991518693465788732805002
y[1] (numeric) = -0.83646264991518693465788732804994
absolute error = 8e-32
relative error = 9.5640851397383486015713401726314e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=408.1MB, alloc=4.4MB, time=47.40
x[1] = 0.581
y[1] (analytic) = -0.83591420783844227434926824367577
y[1] (numeric) = -0.83591420783844227434926824367569
absolute error = 8e-32
relative error = 9.5703601218681111530376955127559e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = -0.83536492984755943511337269635362
y[1] (numeric) = -0.83536492984755943511337269635353
absolute error = 9e-32
relative error = 1.0773734542150762995932844932142e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = -0.83481481649181636205987554084799
y[1] (numeric) = -0.83481481649181636205987554084791
absolute error = 8e-32
relative error = 9.5829636009801504337624712819171e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = -0.8342638683213263650890717134926
y[1] (numeric) = -0.83426386832132636508907171349252
absolute error = 8e-32
relative error = 9.5892921937243812117409525477385e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = -0.83371208588703756877861217466974
y[1] (numeric) = -0.83371208588703756877861217466966
absolute error = 8e-32
relative error = 9.5956387527815527945175665976331e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = -0.83315946974073236143542524350155
y[1] (numeric) = -0.83315946974073236143542524350147
absolute error = 8e-32
relative error = 9.6020033265534252739931023548036e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = -0.83260602043502684331337427278583
y[1] (numeric) = -0.83260602043502684331337427278576
absolute error = 7e-32
relative error = 8.4073377181954346327978424551587e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = -0.83205173852337027399720344647288
y[1] (numeric) = -0.83205173852337027399720344647281
absolute error = 7e-32
relative error = 8.4129383737876623943656301182127e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = -0.83149662456004451895332431569136
y[1] (numeric) = -0.83149662456004451895332431569129
absolute error = 7e-32
relative error = 8.4185549204168921067236710661803e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = -0.83094067910016349524799652249068
y[1] (numeric) = -0.83094067910016349524799652249061
absolute error = 7e-32
relative error = 8.4241874011757269441301511967606e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = -0.83038390269967261643345699307291
y[1] (numeric) = -0.83038390269967261643345699307284
absolute error = 7e-32
relative error = 8.4298358593443381663581040455502e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = -0.82982629591534823660255271433876
y[1] (numeric) = -0.82982629591534823660255271433869
absolute error = 7e-32
relative error = 8.4355003383913974916801083083448e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = -0.82926785930479709361243303906856
y[1] (numeric) = -0.8292678593047970936124330390685
absolute error = 6e-32
relative error = 7.2352978988357273702256519413281e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = -0.82870859342645575147785829599953
y[1] (numeric) = -0.82870859342645575147785829599947
absolute error = 6e-32
relative error = 7.2401807433803009693737241587157e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = -0.82814849883959004193468231144419
y[1] (numeric) = -0.82814849883959004193468231144413
absolute error = 6e-32
relative error = 7.2450774328604833553953343169930e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=412.0MB, alloc=4.4MB, time=47.85
x[1] = 0.596
y[1] (analytic) = -0.827587576104294505174067278921
y[1] (numeric) = -0.82758757610429450517406727892094
absolute error = 6e-32
relative error = 7.2499880051895149383934642634569e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = -0.82702582578149182974799024253562
y[1] (numeric) = -0.82702582578149182974799024253555
absolute error = 7e-32
relative error = 8.4640645815206589021355686856770e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = -0.82646324843293229164660128855966
y[1] (numeric) = -0.82646324843293229164660128855959
absolute error = 7e-32
relative error = 8.4698261093554867579889191978422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = -0.82589984462119319254799436780206
y[1] (numeric) = -0.82589984462119319254799436780199
absolute error = 7e-32
relative error = 8.4756039677070244276830561272286e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = -0.82533561490967829724095249895538
y[1] (numeric) = -0.82533561490967829724095249895531
absolute error = 7e-32
relative error = 8.4813982015862169323018858496069e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = -0.82477055986261727022122993012494
y[1] (numeric) = -0.82477055986261727022122993012487
absolute error = 7e-32
relative error = 8.4872088562011669292214662944674e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = -0.82420468004506511146193466221171
y[1] (numeric) = -0.82420468004506511146193466221164
absolute error = 7e-32
relative error = 8.4930359769581269388668854221743e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = -0.82363797602290159135857556371942
y[1] (numeric) = -0.82363797602290159135857556371935
absolute error = 7e-32
relative error = 8.4988796094624977954857676435052e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = -0.82307044836283068484933913189164
y[1] (numeric) = -0.82307044836283068484933913189157
absolute error = 7e-32
relative error = 8.5047397995198333667724973035108e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = -0.82250209763238000471116177985496
y[1] (numeric) = -0.82250209763238000471116177985488
absolute error = 8e-32
relative error = 9.7264189635849732429136911301373e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = -0.8219329243999002340321643536487
y[1] (numeric) = -0.82193292439990023403216435364862
absolute error = 8e-32
relative error = 9.7331543274542306892428121119725e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = -0.82136292923456455786101640665948
y[1] (numeric) = -0.8213629292345645578610164066594
absolute error = 8e-32
relative error = 9.7399087726728443634584332492044e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = -0.82079211270636809403379858204876
y[1] (numeric) = -0.82079211270636809403379858204868
absolute error = 8e-32
relative error = 9.7466823525166315968445452025031e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = -0.82022047538612732317893227626382
y[1] (numeric) = -0.82022047538612732317893227626374
absolute error = 8e-32
relative error = 9.7534751204960065889973827327429e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = -0.81964801784547951790074657865482
y[1] (numeric) = -0.81964801784547951790074657865474
absolute error = 8e-32
relative error = 9.7602871303571727453502230707133e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=415.8MB, alloc=4.4MB, time=48.30
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = -0.81907474065688217114225330358349
y[1] (numeric) = -0.81907474065688217114225330358341
absolute error = 8e-32
relative error = 9.7671184360833225499080309600307e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = -0.81850064439361242372770175220081
y[1] (numeric) = -0.81850064439361242372770175220073
absolute error = 8e-32
relative error = 9.7739690918958450279475068327349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = -0.81792572962976649108548566129119
y[1] (numeric) = -0.81792572962976649108548566129111
absolute error = 8e-32
relative error = 9.7808391522555408538963955225098e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = -0.81734999694025908915197561622843
y[1] (numeric) = -0.81734999694025908915197561622836
absolute error = 7e-32
relative error = 8.5642625878808645150599557918173e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = -0.8167734469008228594568510241632
y[1] (numeric) = -0.81677344690082285945685102416313
absolute error = 7e-32
relative error = 8.5703079924560508395982254632164e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = -0.81619608008800779339050656206213
y[1] (numeric) = -0.81619608008800779339050656206206
absolute error = 7e-32
relative error = 8.5763705202372603348138206137154e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = -0.8156178970791806556541088321442
y[1] (numeric) = -0.81561789707918065565410883214412
absolute error = 8e-32
relative error = 9.8085145368301737841597769981879e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = -0.81503889845252440689287977460952
y[1] (numeric) = -0.81503889845252440689287977460945
absolute error = 7e-32
relative error = 8.5885471396402884314396726984542e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = -0.81445908478703762551318420432926
y[1] (numeric) = -0.81445908478703762551318420432919
absolute error = 7e-32
relative error = 8.5946613289117396050840979889410e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = -0.8138784566625339286839996543607
y[1] (numeric) = -0.81387845666253392868399965436062
absolute error = 8e-32
relative error = 9.8294775276465084814792921718814e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = -0.81329701465964139252334752476951
y[1] (numeric) = -0.81329701465964139252334752476943
absolute error = 8e-32
relative error = 9.8365048141089501981849897763959e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = -0.81271475935980197147026535027979
y[1] (numeric) = -0.81271475935980197147026535027971
absolute error = 8e-32
relative error = 9.8435520062436451727874314737195e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = -0.81213169134527091684290081473111
y[1] (numeric) = -0.81213169134527091684290081473102
absolute error = 9e-32
relative error = 1.1081946556095821843963442164483e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = -0.81154781119911619458330895420011
y[1] (numeric) = -0.81154781119911619458330895420003
absolute error = 8e-32
relative error = 9.8577063354769754004795770563245e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = -0.81096311950521790218953480394108
y[1] (numeric) = -0.810963119505217902189534803941
absolute error = 8e-32
relative error = 9.8648135871837589373681514017494e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=419.6MB, alloc=4.4MB, time=48.75
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = -0.81037761684826768483556455701403
y[1] (numeric) = -0.81037761684826768483556455701395
absolute error = 8e-32
relative error = 9.8719409737817233655387993991176e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = -0.80979130381376815067972911460066
y[1] (numeric) = -0.80979130381376815067972911460059
absolute error = 7e-32
relative error = 8.6442024840635060888552418383249e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = -0.80920418098803228536214471955587
y[1] (numeric) = -0.8092041809880322853621447195558
absolute error = 7e-32
relative error = 8.6504743357270498437180863354725e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = -0.80861624895818286569177617570531
y[1] (numeric) = -0.80861624895818286569177617570524
absolute error = 7e-32
relative error = 8.6567639582048530675950386861349e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = -0.80802750831215187252370896577706
y[1] (numeric) = -0.80802750831215187252370896577698
absolute error = 8e-32
relative error = 9.9006530318637278582552921457127e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = -0.8074379596386799028272173906462
y[1] (numeric) = -0.80743795963867990282721739064613
absolute error = 7e-32
relative error = 8.6693967213684470145474089861677e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = -0.80684760352731558094521666177536
y[1] (numeric) = -0.80684760352731558094521666177529
absolute error = 7e-32
relative error = 8.6757399655126039210109511813831e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = -0.80625644056841496904568768734982
y[1] (numeric) = -0.80625644056841496904568768734975
absolute error = 7e-32
relative error = 8.6821011873901605329417196161235e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = -0.80566447135314097676566410063355
y[1] (numeric) = -0.80566447135314097676566410063347
absolute error = 8e-32
relative error = 9.9296919306417061707950814364473e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = -0.80507169647346277004837188650966
y[1] (numeric) = -0.80507169647346277004837188650958
absolute error = 8e-32
relative error = 9.9370031700818841768268777905602e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = -0.80447811652215517917411276901668
y[1] (numeric) = -0.8044781165221551791741127690166
absolute error = 8e-32
relative error = 9.9443351356589467568221304440563e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = -0.80388373209279810598548332894764
y[1] (numeric) = -0.80388373209279810598548332894757
absolute error = 7e-32
relative error = 8.7077269019693751385161772675254e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = -0.80328854377977593030752262624373
y[1] (numeric) = -0.80328854377977593030752262624366
absolute error = 7e-32
relative error = 8.7141788018815215666492377942940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = -0.80269255217827691556338190698517
y[1] (numeric) = -0.8026925521782769155633819069851
absolute error = 7e-32
relative error = 8.7206489969341457090231979414128e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = -0.80209575788429261358611077926032
y[1] (numeric) = -0.80209575788429261358611077926025
absolute error = 7e-32
relative error = 8.7271375408642845306357332709849e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=423.4MB, alloc=4.4MB, time=49.20
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = -0.80149816149461726862715504607705
y[1] (numeric) = -0.80149816149461726862715504607698
absolute error = 7e-32
relative error = 8.7336444876511558438340276471416e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = -0.80089976360684722056216218676894
y[1] (numeric) = -0.80089976360684722056216218676887
absolute error = 7e-32
relative error = 8.7401698915174384863584331639824e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = -0.80030056481938030729469128104118
y[1] (numeric) = -0.80030056481938030729469128104111
absolute error = 7e-32
relative error = 8.7467138069305608449608915063926e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = -0.79970056573141526635842497189628
y[1] (numeric) = -0.79970056573141526635842497189621
absolute error = 7e-32
relative error = 8.7532762886039977874241234053705e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = -0.79909976694295113571848186517791
y[1] (numeric) = -0.79909976694295113571848186517784
absolute error = 7e-32
relative error = 8.7598573914985760663512441449193e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = -0.79849816905478665377242856437044
y[1] (numeric) = -0.79849816905478665377242856437037
absolute error = 7e-32
relative error = 8.7664571708237882586444020530419e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = -0.79789577266851965855159133959223
y[1] (numeric) = -0.79789577266851965855159133959216
absolute error = 7e-32
relative error = 8.7730756820391153051453208173933e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = -0.79729257838654648612326822942085
y[1] (numeric) = -0.79729257838654648612326822942077
absolute error = 8e-32
relative error = 1.0033957692406123103394643704651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = -0.79668858681206136819444317328799
y[1] (numeric) = -0.79668858681206136819444317328791
absolute error = 8e-32
relative error = 1.0041564712269686289871408373718e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = -0.79608379854905582891760457067991
y[1] (numeric) = -0.79608379854905582891760457067983
absolute error = 8e-32
relative error = 1.0049193331883927909319422462199e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = -0.79547821420231808089927146127429
y[1] (numeric) = -0.79547821420231808089927146127422
absolute error = 7e-32
relative error = 8.7997381638155760508115609837434e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = -0.7948718343774324204118313174373
y[1] (numeric) = -0.79487183437743242041183131743723
absolute error = 7e-32
relative error = 8.8064511752169593390061505465301e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = -0.7942646596807786218092942371924
y[1] (numeric) = -0.79426465968077862180929423719233
absolute error = 7e-32
relative error = 8.8131832565902611170135601536950e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = -0.79365669071953133114756912185648
y[1] (numeric) = -0.79365669071953133114756912185641
absolute error = 7e-32
relative error = 8.8199344651826481972108192028186e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = -0.7930479281016594590098682180164
y[1] (numeric) = -0.79304792810165945900986821801633
absolute error = 7e-32
relative error = 8.8267048585021736028605999123158e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=427.2MB, alloc=4.4MB, time=49.64
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = -0.79243837243592557253784719839097
y[1] (numeric) = -0.7924383724359255725378471983909
absolute error = 7e-32
relative error = 8.8334944943191795046668823579959e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = -0.79182802433188528666908875038748
y[1] (numeric) = -0.79182802433188528666908875038741
absolute error = 7e-32
relative error = 8.8403034306677094339251606332201e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = -0.79121688439988665458153843481859
y[1] (numeric) = -0.79121688439988665458153843481852
absolute error = 7e-32
relative error = 8.8471317258469298432070349655788e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = -0.79060495325106955734550237029284
y[1] (numeric) = -0.79060495325106955734550237029277
absolute error = 7e-32
relative error = 8.8539794384225610861421809569637e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = -0.78999223149736509278381709123024
y[1] (numeric) = -0.78999223149736509278381709123017
absolute error = 7e-32
relative error = 8.8608466272283178884899881239396e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = -0.7893787197514949635408027192822
y[1] (numeric) = -0.78937871975149496354080271928213
absolute error = 7e-32
relative error = 8.8677333513673593833286832635385e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = -0.78876441862697086436061137915158
y[1] (numeric) = -0.78876441862697086436061137915151
absolute error = 7e-32
relative error = 8.8746396702137487838315683370153e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = -0.78814932873809386857558358041344
y[1] (numeric) = -0.78814932873809386857558358041337
absolute error = 7e-32
relative error = 8.8815656434139227677481768614618e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = -0.78753345069995381380522607692892
y[1] (numeric) = -0.78753345069995381380522607692885
absolute error = 7e-32
relative error = 8.8885113308881706483627573779558e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = -0.78691678512842868686642550482327
y[1] (numeric) = -0.78691678512842868686642550482319
absolute error = 8e-32
relative error = 1.0166259191808141036986969632489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = -0.78629933264018400789551288876302
y[1] (numeric) = -0.78629933264018400789551288876294
absolute error = 8e-32
relative error = 1.0174242388249431617970729700758e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = -0.78568109385267221368279489441666
y[1] (numeric) = -0.78568109385267221368279489441658
absolute error = 8e-32
relative error = 1.0182248322625576764997861951880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = -0.78506206938413204022016849251592
y[1] (numeric) = -0.78506206938413204022016849251584
absolute error = 8e-32
relative error = 1.0190277064685936419548759709848e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = -0.78444225985358790446243648685181
y[1] (numeric) = -0.78444225985358790446243648685173
absolute error = 8e-32
relative error = 1.0198328684501468181582546793083e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = -0.78382166588084928530294214483812
y[1] (numeric) = -0.78382166588084928530294214483804
absolute error = 8e-32
relative error = 1.0206403252466486735284704053667e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=431.0MB, alloc=4.4MB, time=50.08
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = -0.78320028808651010376414195495638
y[1] (numeric) = -0.7832002880865101037641419549563
absolute error = 8e-32
relative error = 1.0214500839300435079121426820918e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = -0.78257812709194810240373632045772
y[1] (numeric) = -0.78257812709194810240373632045764
absolute error = 8e-32
relative error = 1.0222621516049667651914358865481e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = -0.78195518351932422393697878313928
y[1] (numeric) = -0.7819551835193242239369787831392
absolute error = 8e-32
relative error = 1.0230765354089245447467380829778e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = -0.78133145799158198907578515483418
y[1] (numeric) = -0.7813314579915819890757851548341
absolute error = 8e-32
relative error = 1.0238932425124743211103369762886e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = -0.78070695113244687358526471745402
y[1] (numeric) = -0.78070695113244687358526471745393
absolute error = 9e-32
relative error = 1.1528013151343327413841305961159e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = -0.78008166356642568455829643500084
y[1] (numeric) = -0.78008166356642568455829643500076
absolute error = 8e-32
relative error = 1.0255336554669294888483647654704e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = -0.77945559591880593590877390292041
y[1] (numeric) = -0.77945559591880593590877390292032
absolute error = 9e-32
relative error = 1.1546520478040815712771790253022e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = -0.77882874881565522308414354149961
y[1] (numeric) = -0.77882874881565522308414354149953
absolute error = 8e-32
relative error = 1.0271834485007639383706590155957e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = -0.77820112288382059699786132071801
y[1] (numeric) = -0.77820112288382059699786132071793
absolute error = 8e-32
relative error = 1.0280118808302385430944216794653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = -0.77757271875092793718239408404432
y[1] (numeric) = -0.77757271875092793718239408404424
absolute error = 8e-32
relative error = 1.0288426801870037941351327714413e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = -0.77694353704538132416339231812446
y[1] (numeric) = -0.77694353704538132416339231812438
absolute error = 8e-32
relative error = 1.0296758539781404298976750424208e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = -0.77631357839636241105566199413604
y[1] (numeric) = -0.77631357839636241105566199413596
absolute error = 8e-32
relative error = 1.0305114096452709642708728016252e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = -0.77568284343382979438156388478507
y[1] (numeric) = -0.77568284343382979438156388478499
absolute error = 8e-32
relative error = 1.0313493546647517141619079983280e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = -0.77505133278851838411246953849312
y[1] (numeric) = -0.77505133278851838411246953849305
absolute error = 7e-32
relative error = 9.0316598447938286664730134186377e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.685
memory used=434.8MB, alloc=4.4MB, time=50.53
y[1] (analytic) = -0.77441904709193877293390386926657
y[1] (numeric) = -0.7744190470919387729339038692665
absolute error = 7e-32
relative error = 9.0390338748589202985311910650163e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = -0.77378598697637660473500509705261
y[1] (numeric) = -0.77378598697637660473500509705254
absolute error = 7e-32
relative error = 9.0464290098519286938656445073787e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = -0.77315215307489194232293354906961
y[1] (numeric) = -0.77315215307489194232293354906954
absolute error = 7e-32
relative error = 9.0538453164236870963762745646678e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = -0.77251754602131863436286160765029
y[1] (numeric) = -0.77251754602131863436286160765022
absolute error = 7e-32
relative error = 9.0612828615375239953662064552836e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = -0.77188216645026368154417786455494
y[1] (numeric) = -0.77188216645026368154417786455486
absolute error = 8e-32
relative error = 1.0364276242824015216806031712104e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = -0.77124601499710660197353931549777
y[1] (numeric) = -0.77124601499710660197353931549769
absolute error = 8e-32
relative error = 1.0372825070648841811634173914262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = -0.77060909229799879579540620178138
y[1] (numeric) = -0.7706090922979987957954062017813
absolute error = 8e-32
relative error = 1.0381398402844636794500661030665e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = -0.76997139898986290904069487845139
y[1] (numeric) = -0.76997139898986290904069487845131
absolute error = 8e-32
relative error = 1.0389996317389607789491702534486e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = -0.7693329357103921967041848602655
y[1] (numeric) = -0.76933293571039219670418486026542
absolute error = 8e-32
relative error = 1.0398618892629238968139946749783e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = -0.76869370309804988505131696801677
y[1] (numeric) = -0.76869370309804988505131696801669
absolute error = 8e-32
relative error = 1.0407266207278360838449461332065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = -0.76805370179206853315502026835991
y[1] (numeric) = -0.76805370179206853315502026835983
absolute error = 8e-32
relative error = 1.0415938340423234282765122260354e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = -0.76741293243244939366320627026033
y[1] (numeric) = -0.76741293243244939366320627026025
absolute error = 8e-32
relative error = 1.0424635371523648958295877374227e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = -0.76677139565996177279756961051859
y[1] (numeric) = -0.76677139565996177279756961051851
absolute error = 8e-32
relative error = 1.0433357380415036175144073871077e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = -0.76612909211614238958433522951618
y[1] (numeric) = -0.7661290921161423895843352295161
absolute error = 8e-32
relative error = 1.0442104447310596367746511855451e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = -0.76548602244329473431759280638201
y[1] (numeric) = -0.76548602244329473431759280638194
absolute error = 7e-32
relative error = 9.1445170712030111171100774028113e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=438.7MB, alloc=4.4MB, time=50.97
x[1] = 0.7
y[1] (analytic) = -0.76484218728448842625585999019186
y[1] (numeric) = -0.76484218728448842625585999019179
absolute error = 7e-32
relative error = 9.1522148181351570891227098471372e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = -0.76419758728355857055251673058384
y[1] (numeric) = -0.76419758728355857055251673058376
absolute error = 8e-32
relative error = 1.0468496803865945745863997767904e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = -0.76355222308510511442075377730208
y[1] (numeric) = -0.763552223085105114420753777302
absolute error = 8e-32
relative error = 1.0477344912540873268327196662213e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = -0.7629060953344922025336791836665
y[1] (numeric) = -0.76290609533449220253367918366642
absolute error = 8e-32
relative error = 1.0486218486028010671954466368874e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = -0.7622592046778475316602274138083
y[1] (numeric) = -0.76225920467784753166022741380822
absolute error = 8e-32
relative error = 1.0495117606852682143161260370093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = -0.76161155176206170453751641770848
y[1] (numeric) = -0.7616115517620617045375164177084
absolute error = 8e-32
relative error = 1.0504042357933291870699427534012e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = -0.76096313723478758298029880162827
y[1] (numeric) = -0.7609631372347875829802988016282
absolute error = 7e-32
relative error = 9.1988687197606259961766413676281e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = -0.76031396174443964022815398442661
y[1] (numeric) = -0.76031396174443964022815398442654
absolute error = 7e-32
relative error = 9.2067229489504934662156042428282e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = -0.7596640259401933125310689925183
y[1] (numeric) = -0.75966402594019331253106899251823
absolute error = 7e-32
relative error = 9.2145998243585312171234461370419e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = -0.75901333047198434997405630783822
y[1] (numeric) = -0.75901333047198434997405630783815
absolute error = 7e-32
relative error = 9.2224994199339352922120224081917e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = -0.75836187599050816654145794413955
y[1] (numeric) = -0.75836187599050816654145794413949
absolute error = 6e-32
relative error = 7.9117901228398477591784081576629e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = -0.7577096631472191894215856872678
y[1] (numeric) = -0.75770966314721918942158568726774
absolute error = 6e-32
relative error = 7.9186003449902288970241754990183e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = -0.7570566925943302075523481947161
y[1] (numeric) = -0.75705669259433020755234819471604
absolute error = 6e-32
relative error = 7.9254302335520170058167510469804e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = -0.75640296498481171940851640878051
y[1] (numeric) = -0.75640296498481171940851640878045
absolute error = 6e-32
relative error = 7.9322798531342056441298780035724e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = -0.75574848097239128003127949599547
y[1] (numeric) = -0.75574848097239128003127949599541
absolute error = 6e-32
relative error = 7.9391492686562075259377218941299e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=442.5MB, alloc=4.4MB, time=51.42
x[1] = 0.715
y[1] (analytic) = -0.75509324121155284730074428323906
y[1] (numeric) = -0.755093241211552847300744283239
absolute error = 6e-32
relative error = 7.9460385453496502969887095073422e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = -0.75443724635753612745203191795418
y[1] (numeric) = -0.75443724635753612745203191795411
absolute error = 7e-32
relative error = 9.2784390402202157934815379238616e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = -0.75378049706633591983562623633442
y[1] (numeric) = -0.75378049706633591983562623633436
absolute error = 6e-32
relative error = 7.9598769447493070931651611521274e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = -0.75312299399470146092262907907173
y[1] (numeric) = -0.75312299399470146092262907907167
absolute error = 6e-32
relative error = 7.9668261994961908438831347479324e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = -0.75246473780013576755557854935575
y[1] (numeric) = -0.75246473780013576755557854935569
absolute error = 6e-32
relative error = 7.9737955794995360077130890180263e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = -0.75180572914089497944548696225195
y[1] (numeric) = -0.75180572914089497944548696225189
absolute error = 6e-32
relative error = 7.9807851515794280946605674618478e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = -0.75114596867598770091575598836582
y[1] (numeric) = -0.75114596867598770091575598836576
absolute error = 6e-32
relative error = 7.9877949828792116130177660415702e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = -0.75048545706517434189362724782304
y[1] (numeric) = -0.75048545706517434189362724782299
absolute error = 5e-32
relative error = 6.6623542840561471986984185843360e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = -0.74982419496896645814982736306022
y[1] (numeric) = -0.74982419496896645814982736306017
absolute error = 5e-32
relative error = 6.6682297444495489864006603127283e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = -0.74916218304862609078706723072606
y[1] (numeric) = -0.749162183048626090787067230726
absolute error = 6e-32
relative error = 8.0089467084199526796557323240843e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = -0.7484994219661651049780560241387
y[1] (numeric) = -0.74849942196616510497805602413864
absolute error = 6e-32
relative error = 8.0160382545642390794458997591175e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = -0.74783591238434452795369118823017
y[1] (numeric) = -0.74783591238434452795369118823011
absolute error = 6e-32
relative error = 8.0231504005605256980425625466012e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = -0.7471716549666738862420864387327
y[1] (numeric) = -0.74717165496667388624208643873264
absolute error = 6e-32
relative error = 8.0302832155318019015979356646432e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = -0.74650665037741054215910052652369
y[1] (numeric) = -0.74650665037741054215910052652363
absolute error = 6e-32
relative error = 8.0374367689378073610806989297739e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = -0.74584089928155902955103027654531
y[1] (numeric) = -0.74584089928155902955103027654525
absolute error = 6e-32
relative error = 8.0446111305770147863121129417522e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=446.3MB, alloc=4.4MB, time=51.85
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = -0.74517440234487038879013215855033
y[1] (numeric) = -0.74517440234487038879013215855027
absolute error = 6e-32
relative error = 8.0518063705886268574644856352118e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = -0.74450716023384150102363739409716
y[1] (numeric) = -0.74450716023384150102363739409709
absolute error = 7e-32
relative error = 9.4021929860303520509228509016158e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = -0.74383917361571442167692635072351
y[1] (numeric) = -0.74383917361571442167692635072344
absolute error = 7e-32
relative error = 9.4106363960018753325644908743795e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = -0.74317044315847571321152872006884
y[1] (numeric) = -0.74317044315847571321152872006877
absolute error = 7e-32
relative error = 9.4191044119704054356466557742636e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = -0.74250096953085577713861672188964
y[1] (numeric) = -0.74250096953085577713861672188957
absolute error = 7e-32
relative error = 9.4275971173787190110780007728209e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = -0.74183075340232818528865932041883
y[1] (numeric) = -0.74183075340232818528865932041876
absolute error = 7e-32
relative error = 9.4361145960790131039278983822434e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = -0.74115979544310901033790618335927
y[1] (numeric) = -0.7411597954431090103379061833592
absolute error = 7e-32
relative error = 9.4446569323353372314695561086180e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = -0.74048809632415615559237085697158
y[1] (numeric) = -0.74048809632415615559237085697152
absolute error = 6e-32
relative error = 8.1027636092794654442928480757855e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = -0.73981565671716868402998337321739
y[1] (numeric) = -0.73981565671716868402998337321733
absolute error = 6e-32
relative error = 8.1101284428396441739191231130415e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = -0.73914247729458614660158324674932
y[1] (numeric) = -0.73914247729458614660158324674925
absolute error = 7e-32
relative error = 9.4704339353103384969607959268940e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = -0.73846855872958790979142456069883
y[1] (numeric) = -0.73846855872958790979142456069877
absolute error = 6e-32
relative error = 8.1249227595038035277824877697313e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = -0.73779390169609248243786558070087
y[1] (numeric) = -0.73779390169609248243786558070081
absolute error = 6e-32
relative error = 8.1323523902905381113785452979724e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = -0.73711850686875684181491607640942
y[1] (numeric) = -0.73711850686875684181491607640936
absolute error = 6e-32
relative error = 8.1398037684438352510085823997566e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = -0.73644237492297575897531626890064
y[1] (numeric) = -0.73644237492297575897531626890058
absolute error = 6e-32
relative error = 8.1472769687207879977487778732673e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = -0.73576550653488112335582206082836
y[1] (numeric) = -0.7357655065348811233558220608283
absolute error = 6e-32
relative error = 8.1547720662487354449233968107378e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=450.1MB, alloc=4.4MB, time=52.30
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = -0.73508790238134126664537194399042
y[1] (numeric) = -0.73508790238134126664537194399036
absolute error = 6e-32
relative error = 8.1622891365274874595213358319348e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = -0.73440956313996028591681171608261
y[1] (numeric) = -0.73440956313996028591681171608254
absolute error = 7e-32
relative error = 9.5314662980034932520683641751391e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = -0.73373048948907736602285387485905
y[1] (numeric) = -0.73373048948907736602285387485899
absolute error = 6e-32
relative error = 8.1773894992124606706676266038640e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = -0.73305068210776610125694929368327
y[1] (numeric) = -0.73305068210776610125694929368321
absolute error = 6e-32
relative error = 8.1849729445009061145345540244151e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = -0.73237014167583381627974951754159
y[1] (numeric) = -0.73237014167583381627974951754153
absolute error = 6e-32
relative error = 8.1925786683091689471602121921721e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = -0.73168886887382088631183875300008
y[1] (numeric) = -0.73168886887382088631183875300002
absolute error = 6e-32
relative error = 8.2002067480333568112904119609409e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = -0.73100686438300005659341535931644
y[1] (numeric) = -0.73100686438300005659341535931638
absolute error = 6e-32
relative error = 8.2078572614557422327456770875301e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = -0.73032412888537576111160338096846
y[1] (numeric) = -0.7303241288853757611116033809684
absolute error = 6e-32
relative error = 8.2155302867471039097805265238098e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = -0.72964066306368344059607539423096
y[1] (numeric) = -0.7296406630636834405960753942309
absolute error = 6e-32
relative error = 8.2232259024690852265891347909336e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = -0.72895646760138885978366867212136
y[1] (numeric) = -0.72895646760138885978366867212129
absolute error = 7e-32
relative error = 9.6027682188393318281726188578911e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = -0.72827154318268742395267740304088
y[1] (numeric) = -0.72827154318268742395267740304081
absolute error = 7e-32
relative error = 9.6117994249900893402047080441105e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = -0.72758589049250349472750442876228
y[1] (numeric) = -0.72758589049250349472750442876221
absolute error = 7e-32
relative error = 9.6208572643728621166936970430077e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = -0.72689951021648970515435669705521
y[1] (numeric) = -0.72689951021648970515435669705513
absolute error = 8e-32
relative error = 1.1005647806279839907150006012143e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = -0.72621240304102627404866935319676
y[1] (numeric) = -0.72621240304102627404866935319668
absolute error = 8e-32
relative error = 1.1016060819809562065369577175908e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = -0.72552456965322031961494412288604
y[1] (numeric) = -0.72552456965322031961494412288596
absolute error = 8e-32
relative error = 1.1026504593529847981176752085906e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=453.9MB, alloc=4.4MB, time=52.75
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = -0.72483601074090517233968836666701
y[1] (numeric) = -0.72483601074090517233968836666693
absolute error = 8e-32
relative error = 1.1036979235927647961496096141722e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = -0.72414672699263968715814191286342
y[1] (numeric) = -0.72414672699263968715814191286334
absolute error = 8e-32
relative error = 1.1047484856037073470962636019602e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = -0.72345671909770755489547950224168
y[1] (numeric) = -0.7234567190977075548954795022416
absolute error = 8e-32
relative error = 1.1058021563442757590941000979721e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = -0.72276598774611661298317740314174
y[1] (numeric) = -0.72276598774611661298317740314166
absolute error = 8e-32
relative error = 1.1068589468283240499837245512235e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = -0.72207453362859815545123348065203
y[1] (numeric) = -0.72207453362859815545123348065195
absolute error = 8e-32
relative error = 1.1079188681254380191618408254314e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = -0.72138235743660624219693072755086
y[1] (numeric) = -0.72138235743660624219693072755079
absolute error = 7e-32
relative error = 9.7035918994111900701579022372916e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = -0.72068945986231700753083498819317
y[1] (numeric) = -0.7206894598623170075308349881931
absolute error = 7e-32
relative error = 9.7129212925318819969606043657444e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = -0.71999584159862796800071832928725
y[1] (numeric) = -0.71999584159862796800071832928718
absolute error = 7e-32
relative error = 9.7222783737996234519290829855111e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = -0.71930150333915732949410023358049
y[1] (numeric) = -0.71930150333915732949410023358042
absolute error = 7e-32
relative error = 9.7316632420541947390995535817968e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = -0.71860644577824329362009951385514
y[1] (numeric) = -0.71860644577824329362009951385507
absolute error = 7e-32
relative error = 9.7410759966382891722777749575276e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = -0.71791066961094336337129056532434
y[1] (numeric) = -0.71791066961094336337129056532427
absolute error = 7e-32
relative error = 9.7505167374006340471928463362087e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = -0.71721417553303364806625829451439
y[1] (numeric) = -0.71721417553303364806625829451432
absolute error = 7e-32
relative error = 9.7599855646991350796634771029730e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = -0.71651696424100816757354678202036
y[1] (numeric) = -0.71651696424100816757354678202029
absolute error = 7e-32
relative error = 9.7694825794040445152616707391302e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = -0.71581903643207815581769745512838
y[1] (numeric) = -0.71581903643207815581769745512831
absolute error = 7e-32
relative error = 9.7790078829011531180198228953845e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = -0.71512039280417136356807326420846
y[1] (numeric) = -0.71512039280417136356807326420839
absolute error = 7e-32
relative error = 9.7885615770950062478115700526660e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
memory used=457.7MB, alloc=4.4MB, time=53.20
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = -0.71442103405593136051116607399548
y[1] (numeric) = -0.71442103405593136051116607399541
absolute error = 7e-32
relative error = 9.7981437644121442381446323593918e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = -0.71372096088671683660708519739286
y[1] (numeric) = -0.71372096088671683660708519739279
absolute error = 7e-32
relative error = 9.8077545478043672882356685805602e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = -0.71302017399660090273092571525215
y[1] (numeric) = -0.71302017399660090273092571525208
absolute error = 7e-32
relative error = 9.8173940307520250853931033277105e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = -0.71231867408637039059971594070188
y[1] (numeric) = -0.71231867408637039059971594070181
absolute error = 7e-32
relative error = 9.8270623172673313759143017116340e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = -0.71161646185752515198564410101998
y[1] (numeric) = -0.71161646185752515198564410101991
absolute error = 7e-32
relative error = 9.8367595118977037049086633590967e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = -0.71091353801227735721626502376456
y[1] (numeric) = -0.71091353801227735721626502376449
absolute error = 7e-32
relative error = 9.8464857197291285476884997474145e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = -0.71020990325355079296238832689801
y[1] (numeric) = -0.71020990325355079296238832689793
absolute error = 8e-32
relative error = 1.1264275481588059494428872900412e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = -0.70950555828498015931435032495762
y[1] (numeric) = -0.70950555828498015931435032495754
absolute error = 8e-32
relative error = 1.1275457826345481894457303672071e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = -0.70880050381091036614737257494236
y[1] (numeric) = -0.70880050381091036614737257494228
absolute error = 8e-32
relative error = 1.1286673693073718519869155743798e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = -0.7080947405363958287767106964985
y[1] (numeric) = -0.70809474053639582877671069649842
absolute error = 8e-32
relative error = 1.1297923204372117097403078051916e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = -0.70738826916719976290329781119664
y[1] (numeric) = -0.70738826916719976290329781119656
absolute error = 8e-32
relative error = 1.1309206483475206396642276088814e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = -0.70668109040979347885058765519795
y[1] (numeric) = -0.70668109040979347885058765519787
absolute error = 8e-32
relative error = 1.1320523654256721697918605462960e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = -0.70597320497135567509330312840764
y[1] (numeric) = -0.70597320497135567509330312840756
absolute error = 8e-32
relative error = 1.1331874841233661134142224303053e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = -0.70526461355977173107879675130834
y[1] (numeric) = -0.70526461355977173107879675130826
absolute error = 8e-32
relative error = 1.1343260169570373182473039557882e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = -0.70455531688363299934173020805386
y[1] (numeric) = -0.70455531688363299934173020805378
absolute error = 8e-32
relative error = 1.1354679765082675584574175311101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=461.5MB, alloc=4.4MB, time=53.64
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = -0.70384531565223609691278086108495
y[1] (numeric) = -0.70384531565223609691278086108487
absolute error = 8e-32
relative error = 1.1366133754242005977044233400801e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = -0.70313461057558219602208382850135
y[1] (numeric) = -0.70313461057558219602208382850127
absolute error = 8e-32
relative error = 1.1377622264179604516514625322081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = -0.7024232023643763140981189206891
y[1] (numeric) = -0.70242320236437631409811892068901
absolute error = 9e-32
relative error = 1.2812788600527069885173797020331e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = -0.70171109173002660306275243725682
y[1] (numeric) = -0.70171109173002660306275243725673
absolute error = 9e-32
relative error = 1.2825791278018763938442699531618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = -0.70099827938464363792314452918013
y[1] (numeric) = -0.70099827938464363792314452918004
absolute error = 9e-32
relative error = 1.2838833224955213451622024428941e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = -0.70028476604103970466123353418745
y[1] (numeric) = -0.70028476604103970466123353418736
absolute error = 9e-32
relative error = 1.2851914587375960740237909917377e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = -0.69957055241272808742150939584346
y[1] (numeric) = -0.69957055241272808742150939584337
absolute error = 9e-32
relative error = 1.2865035512086904564968842706439e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = -0.69885563921392235499778897849759
y[1] (numeric) = -0.69885563921392235499778897849749
absolute error = 1.0e-31
relative error = 1.4309106829628031618545794469903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = -0.6981400271595356466197067912625
y[1] (numeric) = -0.6981400271595356466197067912624
absolute error = 1.0e-31
relative error = 1.4323774043849297077876799653191e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = -0.69742371696517995703963533447258
y[1] (numeric) = -0.69742371696517995703963533447248
absolute error = 1.0e-31
relative error = 1.4338485710687792236971952315027e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = -0.69670670934716542092074998164232
y[1] (numeric) = -0.69670670934716542092074998164223
absolute error = 9e-32
relative error = 1.2917917797050158204472571673466e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = -0.69598900502249959652695400880021
y[1] (numeric) = -0.69598900502249959652695400880011
absolute error = 1.0e-31
relative error = 1.4368043069411311789410161203434e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = -0.69527060470888674871538008121325
y[1] (numeric) = -0.69527060470888674871538008121315
absolute error = 1.0e-31
relative error = 1.4382889097097740250247217852303e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = -0.69455150912472713123218520494112
y[1] (numeric) = -0.69455150912472713123218520494102
absolute error = 1.0e-31
relative error = 1.4397780249015636611954812574509e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = -0.69383171898911626831235684736494
y[1] (numeric) = -0.69383171898911626831235684736484
absolute error = 1.0e-31
relative error = 1.4412716695295482940297243672462e-29 %
Correct digits = 30
h = 0.001
memory used=465.4MB, alloc=4.4MB, time=54.08
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = -0.69311123502184423558424862682483
y[1] (numeric) = -0.69311123502184423558424862682473
absolute error = 1.0e-31
relative error = 1.4427698606970117794571327370783e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = -0.69239005794339494027956466677061
y[1] (numeric) = -0.6923900579433949402795646667705
absolute error = 1.1e-31
relative error = 1.5886998771578670637474250718651e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = -0.69166818847494540074951240438124
y[1] (numeric) = -0.69166818847494540074951240438113
absolute error = 1.1e-31
relative error = 1.5903579466700394318028494403029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = -0.69094562733836502528784433744029
y[1] (numeric) = -0.69094562733836502528784433744019
absolute error = 1.0e-31
relative error = 1.4472918858350152702399882737068e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = -0.69022237525621489026150988636545
y[1] (numeric) = -0.69022237525621489026150988636535
absolute error = 1.0e-31
relative error = 1.4488084360186001005191183606921e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = -0.6894984329517470175496392406801
y[1] (numeric) = -0.68949843295174701754963924068
absolute error = 1.0e-31
relative error = 1.4503296196323374815898349922412e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = -0.68877380114890365129158175088298
y[1] (numeric) = -0.68877380114890365129158175088288
absolute error = 1.0e-31
relative error = 1.4518554543334226234632217734960e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = -0.68804848057231653394472211761713
y[1] (numeric) = -0.68804848057231653394472211761703
absolute error = 1.0e-31
relative error = 1.4533859578734963357609781576610e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = -0.68732247194730618165279832026176
y[1] (numeric) = -0.68732247194730618165279832026165
absolute error = 1.1e-31
relative error = 1.6004132629091921873844818750615e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = -0.68659577599988115892544591656855
y[1] (numeric) = -0.68659577599988115892544591656844
absolute error = 1.1e-31
relative error = 1.6021071472484421403357567146386e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = -0.68586839345673735262969403373784
y[1] (numeric) = -0.68586839345673735262969403373773
absolute error = 1.1e-31
relative error = 1.6038062265211888689084012244473e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = -0.68514032504525724529413905937801
y[1] (numeric) = -0.6851403250452572452941390593779
absolute error = 1.1e-31
relative error = 1.6055105206766789220053784191831e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = -0.68441157149350918772652272811398
y[1] (numeric) = -0.68441157149350918772652272811387
absolute error = 1.1e-31
relative error = 1.6072200497715169966632215456518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = -0.683682133530246670945441986206
y[1] (numeric) = -0.68368213353024667094544198620589
absolute error = 1.1e-31
relative error = 1.6089348339703762018877427577836e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=469.2MB, alloc=4.5MB, time=54.52
x[1] = 0.819
y[1] (analytic) = -0.68295201188490759742691870240827
y[1] (numeric) = -0.68295201188490759742691870240816
absolute error = 1.1e-31
relative error = 1.6106548935467139987199888499427e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = -0.68222120728761355166655797843693
y[1] (numeric) = -0.68222120728761355166655797843682
absolute error = 1.1e-31
relative error = 1.6123802488834938694328944010066e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = -0.6814897204691690700580244968283
y[1] (numeric) = -0.68148972046916907005802449682818
absolute error = 1.2e-31
relative error = 1.7608482768806321119893620636696e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = -0.68075755216106091008856702765017
y[1] (numeric) = -0.68075755216106091008856702765005
absolute error = 1.2e-31
relative error = 1.7627421042786920892409550967527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = -0.68002470309545731885232189848084
y[1] (numeric) = -0.68002470309545731885232189848072
absolute error = 1.2e-31
relative error = 1.7646417763025765069880957857443e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = -0.67929117400520730088212691429132
y[1] (numeric) = -0.6792911740052073008821269142912
absolute error = 1.2e-31
relative error = 1.7665473156740897926119254711496e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = -0.67855696562383988530057789535586
y[1] (numeric) = -0.67855696562383988530057789535574
absolute error = 1.2e-31
relative error = 1.7684587452385296777722880503953e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = -0.67782207868556339229106068207321
y[1] (numeric) = -0.67782207868556339229106068207309
absolute error = 1.2e-31
relative error = 1.7703760879655132205702297967870e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = -0.67708651392526469888949213560539
y[1] (numeric) = -0.67708651392526469888949213560527
absolute error = 1.2e-31
relative error = 1.7722993669498094993027087273113e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = -0.67635027207850850409750434253192
y[1] (numeric) = -0.6763502720785085040975043425318
absolute error = 1.2e-31
relative error = 1.7742286054121790406585192095047e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = -0.67561335388153659331780691027389
y[1] (numeric) = -0.67561335388153659331780691027377
absolute error = 1.2e-31
relative error = 1.7761638267002200458823205800356e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = -0.67487576007126710211246291786445
y[1] (numeric) = -0.67487576007126710211246291786433
absolute error = 1.2e-31
relative error = 1.7781050542892214791197769981724e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = -0.67413749138529377928481476372833
y[1] (numeric) = -0.67413749138529377928481476372821
absolute error = 1.2e-31
relative error = 1.7800523117830230828512808965841e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = -0.67339854856188524928579682848309
y[1] (numeric) = -0.67339854856188524928579682848297
absolute error = 1.2e-31
relative error = 1.7820056229148823860246571980353e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = -0.67265893233998427394537254638808
y[1] (numeric) = -0.67265893233998427394537254638796
absolute error = 1.2e-31
relative error = 1.7839650115483487712087446019901e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=473.0MB, alloc=4.5MB, time=54.97
x[1] = 0.834
y[1] (analytic) = -0.67191864345920701352983415394244
y[1] (numeric) = -0.67191864345920701352983415394232
absolute error = 1.2e-31
relative error = 1.7859305016781446678099400843035e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = -0.67117768265984228712570405827083
y[1] (numeric) = -0.67117768265984228712570405827071
absolute error = 1.2e-31
relative error = 1.7879021174310539391227914101541e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = -0.67043605068285083235097744133388
y[1] (numeric) = -0.67043605068285083235097744133376
absolute error = 1.2e-31
relative error = 1.7898798830668175317236498174830e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = -0.6696937482698645643944463886591
y[1] (numeric) = -0.66969374826986456439444638865898
absolute error = 1.2e-31
relative error = 1.7918638229790364564633727648200e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = -0.66895077616318583438384650320632
y[1] (numeric) = -0.6689507761631858343838465032062
absolute error = 1.2e-31
relative error = 1.7938539616960821710712182594454e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = -0.6682071351057866870835676361593
y[1] (numeric) = -0.66820713510578668708356763615918
absolute error = 1.2e-31
relative error = 1.7958503238820144351475231517198e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = -0.66746282584130811792267103687086
y[1] (numeric) = -0.66746282584130811792267103687074
absolute error = 1.2e-31
relative error = 1.7978529343375067090976351484859e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = -0.66671784911405932935395589388254
y[1] (numeric) = -0.66671784911405932935395589388242
absolute error = 1.2e-31
relative error = 1.7998618180007791693440013300318e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = -0.66597220566901698654481890789019
y[1] (numeric) = -0.66597220566901698654481890789007
absolute error = 1.2e-31
relative error = 1.8018769999485394129474357681088e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = -0.66522589625182447240065120573399
y[1] (numeric) = -0.66522589625182447240065120573387
absolute error = 1.2e-31
relative error = 1.8038985053969309255725285355371e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = -0.6644789216087911419215175719538
y[1] (numeric) = -0.66447892160879114192151757195368
absolute error = 1.2e-31
relative error = 1.8059263597024893875460530840452e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = -0.66373128248689157589286364116858
y[1] (numeric) = -0.66373128248689157589286364116846
absolute error = 1.2e-31
relative error = 1.8079605883631068935812158069653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = -0.66298297963376483391099736051039
y[1] (numeric) = -0.66298297963376483391099736051027
absolute error = 1.2e-31
relative error = 1.8100012170190041625748098396574e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = -0.66223401379771370674409169656935
y[1] (numeric) = -0.66223401379771370674409169656923
absolute error = 1.2e-31
relative error = 1.8120482714537108147289261416398e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = -0.66148438572770396802945622578448
y[1] (numeric) = -0.66148438572770396802945622578435
absolute error = 1.3e-31
relative error = 1.9652769257279749436126473402320e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=476.8MB, alloc=4.5MB, time=55.42
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = -0.66073409617336362530782591094651
y[1] (numeric) = -0.66073409617336362530782591094638
absolute error = 1.3e-31
relative error = 1.9675085749758335168735640588635e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = -0.65998314588498217039541602946147
y[1] (numeric) = -0.65998314588498217039541602946134
absolute error = 1.3e-31
relative error = 1.9697472702228005923814613532940e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = -0.65923153561350982909449288125765
y[1] (numeric) = -0.65923153561350982909449288125753
absolute error = 1.2e-31
relative error = 1.8203012677226177906355891004072e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = -0.65847926611055681024321056570271
y[1] (numeric) = -0.65847926611055681024321056570259
absolute error = 1.2e-31
relative error = 1.8223808428897795955230160741172e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = -0.65772633812839255410546477763153
y[1] (numeric) = -0.6577263381283925541054647776314
absolute error = 1.3e-31
relative error = 1.9765059184025429082508934874725e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = -0.65697275241994498010151523256845
y[1] (numeric) = -0.65697275241994498010151523256833
absolute error = 1.2e-31
relative error = 1.8265597706751548707298500888119e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = -0.6562185097387997338801289904588
y[1] (numeric) = -0.65621850973879973388012899045867
absolute error = 1.3e-31
relative error = 1.9810474418306946553553741233920e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = -0.65546361083919943373299760570348
y[1] (numeric) = -0.65546361083919943373299760570335
absolute error = 1.3e-31
relative error = 1.9833290185790656032029394556040e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = -0.65470805647604291635218168901687
y[1] (numeric) = -0.65470805647604291635218168901675
absolute error = 1.2e-31
relative error = 1.8328780104814708535870161606751e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = -0.65395184740488448193133712360054
y[1] (numeric) = -0.65395184740488448193133712360042
absolute error = 1.2e-31
relative error = 1.8349974921885005258345208469764e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = -0.65319498438193313861147783434356
y[1] (numeric) = -0.65319498438193313861147783434344
absolute error = 1.2e-31
relative error = 1.8371237206229703248377565539391e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = -0.65243746816405184627203066422386
y[1] (numeric) = -0.65243746816405184627203066422374
absolute error = 1.2e-31
relative error = 1.8392567235244474628142731671210e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = -0.65167929950875675966793856679259
y[1] (numeric) = -0.65167929950875675966793856679247
absolute error = 1.2e-31
relative error = 1.8413965287904243660021395753757e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = -0.6509204791742164709135689775753
y[1] (numeric) = -0.65092047917421647091356897757518
absolute error = 1.2e-31
relative error = 1.8435431644774298396408402673371e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = -0.65016100791925125131418488041842
y[1] (numeric) = -0.6501610079192512513141848804183
absolute error = 1.2e-31
relative error = 1.8456966588021496602144179023708e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=480.6MB, alloc=4.5MB, time=55.86
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = -0.64940088650333229254573673724674
y[1] (numeric) = -0.64940088650333229254573673724662
absolute error = 1.2e-31
relative error = 1.8478570401425566883015731878004e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = -0.64864011568658094718373410137685
y[1] (numeric) = -0.64864011568658094718373410137673
absolute error = 1.2e-31
relative error = 1.8500243370390505964355425449245e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = -0.6478786962297679685819563854515
y[1] (numeric) = -0.64787869622976796858195638545138
absolute error = 1.2e-31
relative error = 1.8521985781956073074481946119379e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = -0.64711662889431275010176290522087
y[1] (numeric) = -0.64711662889431275010176290522075
absolute error = 1.2e-31
relative error = 1.8543797924809382398581105924952e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = -0.64635391444228256369276296979723
y[1] (numeric) = -0.64635391444228256369276296979711
absolute error = 1.2e-31
relative error = 1.8565680089296594579616357992982e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = -0.64559055363639179782560743764955
y[1] (numeric) = -0.64559055363639179782560743764942
absolute error = 1.3e-31
relative error = 2.0136601948054267275158092125834e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = -0.64482654724000119477766380548283
y[1] (numeric) = -0.6448265472400011947776638054827
absolute error = 1.3e-31
relative error = 2.0160460290667073672716292482506e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = -0.64406189601711708727233754426375
y[1] (numeric) = -0.64406189601711708727233754426362
absolute error = 1.3e-31
relative error = 2.0184395444587055560938868215645e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = -0.6432966007323906344728030430074
y[1] (numeric) = -0.64329660073239063447280304300728
absolute error = 1.2e-31
relative error = 1.8653914829237473791736404541618e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = -0.64253066215111705733090816653077
y[1] (numeric) = -0.64253066215111705733090816653064
absolute error = 1.3e-31
relative error = 2.0232497475649690503057721725055e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = -0.64176408103923487329201707820441
y[1] (numeric) = -0.64176408103923487329201707820429
absolute error = 1.2e-31
relative error = 1.8698460001949483195005522002309e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = -0.64099685816332513035655662279603
y[1] (numeric) = -0.64099685816332513035655662279591
absolute error = 1.2e-31
relative error = 1.8720840589428312408899989574779e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = -0.64022899429061064049903220779546
y[1] (numeric) = -0.64022899429061064049903220779534
absolute error = 1.2e-31
relative error = 1.8743293582472460544228770559315e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = -0.63946049018895521244527976414145
y[1] (numeric) = -0.63946049018895521244527976414133
absolute error = 1.2e-31
relative error = 1.8765819286902464654123691648196e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = -0.63869134662686288380872100903435
y[1] (numeric) = -0.63869134662686288380872100903423
absolute error = 1.2e-31
relative error = 1.8788418010320493842806479961683e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=484.4MB, alloc=4.5MB, time=56.30
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = -0.63792156437347715258638987451539
y[1] (numeric) = -0.63792156437347715258638987451527
absolute error = 1.2e-31
relative error = 1.8811090062123198027762692446674e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = -0.63715114419858020801549860572209
y[1] (numeric) = -0.63715114419858020801549860572198
absolute error = 1.1e-31
relative error = 1.7264349440721779347239486463301e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = -0.63638008687259216079131267218969
y[1] (numeric) = -0.63638008687259216079131267218958
absolute error = 1.1e-31
relative error = 1.7285267447726218019859347320693e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = -0.63560839316657027264710427425938
y[1] (numeric) = -0.63560839316657027264710427425927
absolute error = 1.1e-31
relative error = 1.7306253533246362639624932862280e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = -0.63483606385220818529695486457581
y[1] (numeric) = -0.63483606385220818529695486457569
absolute error = 1.2e-31
relative error = 1.8902517804649543994409518818759e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = -0.63406309970183514874217774180693
y[1] (numeric) = -0.63406309970183514874217774180681
absolute error = 1.2e-31
relative error = 1.8925561203045780681886324673575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = -0.63328950148841524894213241009944
y[1] (numeric) = -0.63328950148841524894213241009931
absolute error = 1.3e-31
relative error = 2.0527736476676471032362131871671e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = -0.63251526998554663485020303339089
y[1] (numeric) = -0.63251526998554663485020303339076
absolute error = 1.3e-31
relative error = 2.0552863491022213646968040602457e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = -0.63174040596746074481571394853584
y[1] (numeric) = -0.63174040596746074481571394853572
absolute error = 1.2e-31
relative error = 1.8995144028539608465074050823746e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = -0.6309649102090215323525558352659
y[1] (numeric) = -0.63096491020902153235255583526578
absolute error = 1.2e-31
relative error = 1.9018490261248800702025752469419e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = -0.63018878348572469127529677429298
y[1] (numeric) = -0.63018878348572469127529677429286
absolute error = 1.2e-31
relative error = 1.9041913017913669653626361217885e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = -0.62941202657369688020355305738025
y[1] (numeric) = -0.62941202657369688020355305738013
absolute error = 1.2e-31
relative error = 1.9065412628550939468714415817298e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = -0.62863464024969494643539524494522
y[1] (numeric) = -0.6286346402496949464353952449451
absolute error = 1.2e-31
relative error = 1.9088989425135044750294191124839e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = -0.6278566252911051491905655977243
y[1] (numeric) = -0.62785662529110514919056559772418
absolute error = 1.2e-31
relative error = 1.9112643741612523388077264455298e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = -0.62707798247594238222428363921666
y[1] (numeric) = -0.62707798247594238222428363921654
absolute error = 1.2e-31
relative error = 1.9136375913916536875618063813372e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=488.2MB, alloc=4.5MB, time=56.75
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = -0.62629871258284939581241723503701
y[1] (numeric) = -0.6262987125828493958124172350369
absolute error = 1.1e-31
relative error = 1.7563504089983059477862146382210e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = -0.62551881639109601810879720394146
y[1] (numeric) = -0.62551881639109601810879720394134
absolute error = 1.2e-31
relative error = 1.9184075179757957250796521164343e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = -0.62473829468057837587545410314681
y[1] (numeric) = -0.62473829468057837587545410314669
absolute error = 1.2e-31
relative error = 1.9208042955227299259784845037149e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = -0.62395714823181811458655645764182
y[1] (numeric) = -0.6239571482318181145865564576417
absolute error = 1.2e-31
relative error = 1.9232089950417000701040563813819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = -0.62317537782596161790683032948689
y[1] (numeric) = -0.62317537782596161790683032948677
absolute error = 1.2e-31
relative error = 1.9256216511415700969627475355497e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = -0.62239298424477922654524074861785
y[1] (numeric) = -0.62239298424477922654524074861773
absolute error = 1.2e-31
relative error = 1.9280422986388537075679395988461e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = -0.62160996827066445648471615140713
y[1] (numeric) = -0.62160996827066445648471615140701
absolute error = 1.2e-31
relative error = 1.9304709725592594156288154347677e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = -0.62082633068663321658869759719283
y[1] (numeric) = -0.62082633068663321658869759719271
absolute error = 1.2e-31
relative error = 1.9329077081392494467676002935679e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = -0.62004207227632302558529515616121
y[1] (numeric) = -0.62004207227632302558529515616108
absolute error = 1.3e-31
relative error = 2.0966319192299136832438784476207e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = -0.61925719382399222842983448436099
y[1] (numeric) = -0.61925719382399222842983448436086
absolute error = 1.3e-31
relative error = 2.0992892984776390523549498050555e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = -0.61847169611451921204657722323764
y[1] (numeric) = -0.61847169611451921204657722323751
absolute error = 1.3e-31
relative error = 2.1019555270954318809766247417243e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = -0.61768557993340162045039948190176
y[1] (numeric) = -0.61768557993340162045039948190163
absolute error = 1.3e-31
relative error = 2.1046306441865859819056460608801e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = -0.61689884606675556924921328038782
y[1] (numeric) = -0.61689884606675556924921328038769
absolute error = 1.3e-31
relative error = 2.1073146890913863183697309215594e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = -0.61611149530131485952791645141623
y[1] (numeric) = -0.6161114953013148595279164514161
absolute error = 1.3e-31
relative error = 2.1100077013888911873867640945866e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = -0.61532352842443019111465711664343
y[1] (numeric) = -0.6153235284244301911146571166433
absolute error = 1.3e-31
relative error = 2.1127097208987305445423466700587e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=492.1MB, alloc=4.5MB, time=57.19
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = -0.61453494622406837523019947106989
y[1] (numeric) = -0.61453494622406837523019947106976
absolute error = 1.3e-31
relative error = 2.1154207876829206408966353726700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = -0.61374574948881154652117822617468
y[1] (numeric) = -0.61374574948881154652117822617455
absolute error = 1.3e-31
relative error = 2.1181409420476951447982099042940e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = -0.61295593900785637447802967845642
y[1] (numeric) = -0.6129559390078563744780296784563
absolute error = 1.2e-31
relative error = 1.9577263611187873139794154853986e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = -0.61216551557101327423838798538397
y[1] (numeric) = -0.61216551557101327423838798538385
absolute error = 1.2e-31
relative error = 1.9602541624394978413084792437124e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = -0.61137447996870561677673584529461
y[1] (numeric) = -0.61137447996870561677673584529449
absolute error = 1.2e-31
relative error = 1.9627904652831179950585095604036e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = -0.61058283299196893848109939152343
y[1] (numeric) = -0.61058283299196893848109939152331
absolute error = 1.2e-31
relative error = 1.9653353077743404698081368914157e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = -0.60979057543245015011757772400305
y[1] (numeric) = -0.60979057543245015011757772400293
absolute error = 1.2e-31
relative error = 1.9678887282719747251654314459428e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = -0.60899770808240674518349811373816
y[1] (numeric) = -0.60899770808240674518349811373804
absolute error = 1.2e-31
relative error = 1.9704507653707320124782230837639e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = -0.60820423173470600764998852693391
y[1] (numeric) = -0.60820423173470600764998852693379
absolute error = 1.2e-31
relative error = 1.9730214579030267904471504450043e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = -0.60741014718282421909475972613934
y[1] (numeric) = -0.60741014718282421909475972613922
absolute error = 1.2e-31
relative error = 1.9756008449407947053619960545796e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = -0.60661545522084586522588981555792
y[1] (numeric) = -0.6066154552208458652258898155578
absolute error = 1.2e-31
relative error = 1.9781889657973273138386840046212e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = -0.60582015664346284179740470667438
y[1] (numeric) = -0.60582015664346284179740470667426
absolute error = 1.2e-31
relative error = 1.9807858600291237281209635677118e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = -0.60502425224597365991744858855121
y[1] (numeric) = -0.60502425224597365991744858855109
absolute error = 1.2e-31
relative error = 1.9833915674377593662277347517588e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = -0.60422774282428265074983909455821
y[1] (numeric) = -0.6042277428242826507498390945581
absolute error = 1.1e-31
relative error = 1.8205056173991243255184357448677e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = -0.60343062917489916960980246391359
y[1] (numeric) = -0.60343062917489916960980246391348
memory used=495.9MB, alloc=4.5MB, time=57.63
absolute error = 1.1e-31
relative error = 1.8229104503761847924961300866761e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = -0.60263291209493679945468460223509
y[1] (numeric) = -0.60263291209493679945468460223497
absolute error = 1.2e-31
relative error = 1.9912619704563297426560853482907e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = -0.60183459238211255377043455032378
y[1] (numeric) = -0.60183459238211255377043455032367
absolute error = 1.1e-31
relative error = 1.8277447224263170909146510785374e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = -0.60103567083474607885465747463065
y[1] (numeric) = -0.60103567083474607885465747463053
absolute error = 1.2e-31
relative error = 1.9965537125831227574205861613669e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = -0.60023614825175885549703489628633
y[1] (numeric) = -0.60023614825175885549703489628621
absolute error = 1.2e-31
relative error = 1.9992131488500095894772707339866e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = -0.59943602543267340005791047820747
y[1] (numeric) = -0.59943602543267340005791047820736
absolute error = 1.1e-31
relative error = 1.8350582102669240222251006306588e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = -0.59863530317761246494584029162724
y[1] (numeric) = -0.59863530317761246494584029162712
absolute error = 1.2e-31
relative error = 2.0045593596473298384856239710489e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = -0.59783398228729823849490708443298
y[1] (numeric) = -0.59783398228729823849490708443287
absolute error = 1.1e-31
relative error = 1.8399756999283092317377887400244e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = -0.59703206356305154424259867393038
y[1] (numeric) = -0.59703206356305154424259867393027
absolute error = 1.1e-31
relative error = 1.8424471098507942438816681537578e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = -0.59622954780679103960905118608862
y[1] (numeric) = -0.59622954780679103960905118608851
absolute error = 1.1e-31
relative error = 1.8449270151845215671883769981046e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = -0.59542643582103241397845846195686
y[1] (numeric) = -0.59542643582103241397845846195675
absolute error = 1.1e-31
relative error = 1.8474154552496682972351606047395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = -0.59462272840888758618344954977562
y[1] (numeric) = -0.5946227284088875861834495497755
absolute error = 1.2e-31
relative error = 2.0180863304889172544655430583059e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = -0.59381842637406390139323679833869
y[1] (numeric) = -0.59381842637406390139323679833858
absolute error = 1.1e-31
relative error = 1.8524180980990260804295733625023e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = -0.59301353052086332740633766339073
y[1] (numeric) = -0.59301353052086332740633766339062
absolute error = 1.1e-31
relative error = 1.8549323807735613520260205718979e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = -0.59220804165418165034867393427147
y[1] (numeric) = -0.59220804165418165034867393427136
absolute error = 1.1e-31
relative error = 1.8574553579641225919761588893789e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=499.7MB, alloc=4.5MB, time=58.07
x[1] = 0.938
y[1] (analytic) = -0.59140196057950766977785268264058
y[1] (numeric) = -0.59140196057950766977785268264047
absolute error = 1.1e-31
relative error = 1.8599870702527317073837636167096e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = -0.59059528810292239319443382893499
y[1] (numeric) = -0.59059528810292239319443382893488
absolute error = 1.1e-31
relative error = 1.8625275584797828700094114875601e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = -0.58978802503109822996098981522402
y[1] (numeric) = -0.58978802503109822996098981522391
absolute error = 1.1e-31
relative error = 1.8650768637460881149567295525828e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = -0.58898017217129818462976346533545
y[1] (numeric) = -0.58898017217129818462976346533534
absolute error = 1.1e-31
relative error = 1.8676350274149424341790267257314e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = -0.58817173033137504967973070452754
y[1] (numeric) = -0.58817173033137504967973070452743
absolute error = 1.1e-31
relative error = 1.8702020911142085818131600469875e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = -0.58736270031977059766387540157688
y[1] (numeric) = -0.58736270031977059766387540157677
absolute error = 1.1e-31
relative error = 1.8727780967384218111128605776056e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = -0.58655308294551477276748418593998
y[1] (numeric) = -0.58655308294551477276748418593987
absolute error = 1.1e-31
relative error = 1.8753630864509147655588237528084e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = -0.58574287901822488177826968162643
y[1] (numeric) = -0.58574287901822488177826968162632
absolute error = 1.1e-31
relative error = 1.8779571026859627495682904787020e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = -0.5849320893481047844691311875929
y[1] (numeric) = -0.58493208934810478446913118759279
absolute error = 1.1e-31
relative error = 1.8805601881509496071132539511160e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = -0.58412071474594408339436242182994
y[1] (numeric) = -0.58412071474594408339436242182983
absolute error = 1.1e-31
relative error = 1.8831723858285544394844801559709e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = -0.58330875602311731310011653286618
y[1] (numeric) = -0.58330875602311731310011653286608
absolute error = 1.0e-31
relative error = 1.7143579445263267240080872279642e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = -0.58249621399158312874993916815753
y[1] (numeric) = -0.58249621399158312874993916815742
absolute error = 1.1e-31
relative error = 1.8884242911420787777412580210497e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = -0.58168308946388349416618097376046
y[1] (numeric) = -0.58168308946388349416618097376035
absolute error = 1.1e-31
relative error = 1.8910640861398096860080614086434e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = -0.58086938325314286928810148380949
y[1] (numeric) = -0.58086938325314286928810148380938
absolute error = 1.1e-31
relative error = 1.8937131680783044731830825646563e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = -0.58005509617306739704747694162704
y[1] (numeric) = -0.58005509617306739704747694162693
absolute error = 1.1e-31
relative error = 1.8963715813502652282204963661268e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=503.5MB, alloc=4.5MB, time=58.51
x[1] = 0.953
y[1] (analytic) = -0.57924022903794408966252517679013
y[1] (numeric) = -0.57924022903794408966252517679002
absolute error = 1.1e-31
relative error = 1.8990393706372605550638893971220e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = -0.57842478266264001435096124416137
y[1] (numeric) = -0.57842478266264001435096124416126
absolute error = 1.1e-31
relative error = 1.9017165809120648940884562040309e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = -0.57760875786260147846299811176052
y[1] (numeric) = -0.57760875786260147846299811176041
absolute error = 1.1e-31
relative error = 1.9044032574410206432199676347777e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = -0.57679215545385321403510726440825
y[1] (numeric) = -0.57679215545385321403510726440813
absolute error = 1.2e-31
relative error = 2.0804721226760981872456480824262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = -0.57597497625299756176535466931334
y[1] (numeric) = -0.57597497625299756176535466931322
absolute error = 1.2e-31
relative error = 2.0834238456097419880563292923099e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = -0.57515722107721365441112812819955
y[1] (numeric) = -0.57515722107721365441112812819943
absolute error = 1.2e-31
relative error = 2.0863860454581730947576721141755e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = -0.5743388907442565996100726181766
y[1] (numeric) = -0.57433889074425659961007261817648
absolute error = 1.2e-31
relative error = 2.0893587729101557867836766976874e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = -0.57351998607245666212505080035186
y[1] (numeric) = -0.57351998607245666212505080035174
absolute error = 1.2e-31
relative error = 2.0923420789879777213775105382139e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = -0.57270050788071844551394645115419
y[1] (numeric) = -0.57270050788071844551394645115407
absolute error = 1.2e-31
relative error = 2.0953360150501821050345543182425e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = -0.57188045698852007322512914649815
y[1] (numeric) = -0.57188045698852007322512914649804
absolute error = 1.1e-31
relative error = 1.9234789133947995657399785128775e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = -0.57105983421591236911939910325581
y[1] (numeric) = -0.57105983421591236911939910325569
absolute error = 1.2e-31
relative error = 2.1013559842597706689265177479345e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = -0.57023864038351803741923165602284
y[1] (numeric) = -0.57023864038351803741923165602273
absolute error = 1.1e-31
relative error = 1.9290169450112802020936916966603e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = -0.56941687631253084208614141986634
y[1] (numeric) = -0.56941687631253084208614141986623
absolute error = 1.1e-31
relative error = 1.9318008400514154355973386067327e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = -0.56859454282471478562698676162152
y[1] (numeric) = -0.56859454282471478562698676162141
absolute error = 1.1e-31
relative error = 1.9345947193501395424158838468433e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = -0.56777164074240328733003577336466
y[1] (numeric) = -0.56777164074240328733003577336455
absolute error = 1.1e-31
relative error = 1.9373986318895196787506095123967e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=507.3MB, alloc=4.5MB, time=58.96
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = -0.56694817088849836093161551192762
y[1] (numeric) = -0.56694817088849836093161551192751
absolute error = 1.1e-31
relative error = 1.9402126269780961830622675891101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = -0.56612413408646979171416683773636
y[1] (numeric) = -0.56612413408646979171416683773625
absolute error = 1.1e-31
relative error = 1.9430367542535927580976808503581e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = -0.56529953116035431303652775484986
y[1] (numeric) = -0.56529953116035431303652775484975
absolute error = 1.1e-31
relative error = 1.9458710636856537252726456759510e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = -0.56447436293475478229726872184762
y[1] (numeric) = -0.56447436293475478229726872184751
absolute error = 1.1e-31
relative error = 1.9487156055786086673464852137542e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = -0.5636486302348393563319039701617
y[1] (numeric) = -0.56364863023483935633190397016158
absolute error = 1.2e-31
relative error = 2.1289859242628343049577399601021e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = -0.56282233388634066624480343257325
y[1] (numeric) = -0.56282233388634066624480343257313
absolute error = 1.2e-31
relative error = 2.1321115523506115493489432431571e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = -0.56199547471555499167663044989289
y[1] (numeric) = -0.56199547471555499167663044989278
absolute error = 1.1e-31
relative error = 1.9573111341452480232930148912956e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = -0.5611680535493414345081309883184
y[1] (numeric) = -0.56116805354934143450813098831829
absolute error = 1.1e-31
relative error = 1.9601971157171032053267395981852e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = -0.56034007121512109200110066361155
y[1] (numeric) = -0.56034007121512109200110066361144
absolute error = 1.1e-31
relative error = 1.9630935863904995721701985648865e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = -0.55951152854087622937735643105834
y[1] (numeric) = -0.55951152854087622937735643105823
absolute error = 1.1e-31
relative error = 1.9660005985375104001599864987778e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = -0.55868242635514945183654036217185
y[1] (numeric) = -0.55868242635514945183654036217173
absolute error = 1.2e-31
relative error = 2.1479107689654993153625724171694e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = -0.55785276548704287601358349026492
y[1] (numeric) = -0.55785276548704287601358349026481
absolute error = 1.1e-31
relative error = 1.9718464585178245549903825865251e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = -0.55702254676621730087665826735994
y[1] (numeric) = -0.55702254676621730087665826735983
absolute error = 1.1e-31
relative error = 1.9747854128814478025300252140785e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = -0.55619177102289137806644873441393
y[1] (numeric) = -0.55619177102289137806644873441382
absolute error = 1.1e-31
relative error = 1.9777351217854082879121132990449e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = -0.55536043908784078167756806551989
y[1] (numeric) = -0.55536043908784078167756806551977
absolute error = 1.2e-31
relative error = 2.1607588793522205693534374297880e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=511.1MB, alloc=4.5MB, time=59.41
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = -0.55452855179239737748295370459744
y[1] (numeric) = -0.55452855179239737748295370459732
absolute error = 1.2e-31
relative error = 2.1640003857713933460617211536270e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = -0.55369610996844839160207087010861
y[1] (numeric) = -0.55369610996844839160207087010849
absolute error = 1.2e-31
relative error = 2.1672538029360190796521217083101e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = -0.55286311444843557861375575952576
y[1] (numeric) = -0.55286311444843557861375575952564
absolute error = 1.2e-31
relative error = 2.1705191911693750120860842342523e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = -0.55202956606535438911453034063932
y[1] (numeric) = -0.5520295660653543891145303406392
absolute error = 1.2e-31
relative error = 2.1737966112089236365560981167137e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = -0.55119546565275313672322117132106
y[1] (numeric) = -0.55119546565275313672322117132094
absolute error = 1.2e-31
relative error = 2.1770861242098575747632741665283e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = -0.55036081404473216453271524305467
y[1] (numeric) = -0.55036081404473216453271524305454
absolute error = 1.3e-31
relative error = 2.3620867743944043693620216081184e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = -0.54952561207594301100968639640836
y[1] (numeric) = -0.54952561207594301100968639640823
absolute error = 1.3e-31
relative error = 2.3656768154790633845046582391360e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = -0.54868986058158757534312640865361
y[1] (numeric) = -0.54868986058158757534312640865349
absolute error = 1.2e-31
relative error = 2.1870278388743174185525644574247e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = -0.54785356039741728224251540492934
y[1] (numeric) = -0.54785356039741728224251540492922
absolute error = 1.2e-31
relative error = 2.1903663437534485685372368684912e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = -0.54701671235973224618646679471148
y[1] (numeric) = -0.54701671235973224618646679471136
absolute error = 1.2e-31
relative error = 2.1937172537625306862763590681111e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = -0.54617931730538043512268248487347
y[1] (numeric) = -0.54617931730538043512268248487335
absolute error = 1.2e-31
relative error = 2.1970806326396547901591149238845e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = -0.54534137607175683362005466931271
y[1] (numeric) = -0.54534137607175683362005466931258
absolute error = 1.3e-31
relative error = 2.3838279232803785207934221217768e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = -0.54450288949680260547375104297137
y[1] (numeric) = -0.54450288949680260547375104297124
absolute error = 1.3e-31
relative error = 2.3874988086865492669205023171602e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = -0.54366385841900425576412083509674
y[1] (numeric) = -0.54366385841900425576412083509661
absolute error = 1.3e-31
relative error = 2.3911834120819632892078066137672e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = -0.54282428367739279237025960276506
y[1] (numeric) = -0.54282428367739279237025960276493
absolute error = 1.3e-31
relative error = 2.3948818044636450559778023553236e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=515.0MB, alloc=4.5MB, time=59.86
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = -0.5419841661115428869390712710343
y[1] (numeric) = -0.54198416611154288693907127103417
absolute error = 1.3e-31
relative error = 2.3985940573261210259248500766617e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = -0.54114350656157203531066645059386
y[1] (numeric) = -0.54114350656157203531066645059373
absolute error = 1.3e-31
relative error = 2.4023202426657673535089431517167e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
Finished!
diff ( y , x , 3 ) = m1 * diff ( y , x , 1 ) ;
Iterations = 2000
Total Elapsed Time = 59 Seconds
Elapsed Time(since restart) = 59 Seconds
Time to Timeout = 2 Minutes 0 Seconds
Percent Done = 100 %
> quit
memory used=515.6MB, alloc=4.5MB, time=59.93