|\^/| Maple 12 (IBM INTEL LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
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> #BEGIN OUTFILE1
> # Begin Function number 3
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 1
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 1;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 3
> # Begin Function number 4
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 1
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> if (min_size < 1.0) then # if number 1
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 1;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 4
> # Begin Function number 5
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms;
> max_value3 := 0.0;
> no_terms := glob_max_terms;
> hn_div_ho := 0.5;
> hn_div_ho_2 := 0.25;
> hn_div_ho_3 := 0.125;
> omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,"");
> omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,"");
> omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,"");
> value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (value3 > max_value3) then # if number 1
> max_value3 := value3;
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> fi;# end if 1;
> omniout_float(ALWAYS,"max_value3",32,max_value3,32,"");
> max_value3;
> end;
test_suggested_h := proc()
local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
max_value3 := 0.;
no_terms := glob_max_terms;
hn_div_ho := 0.5;
hn_div_ho_2 := 0.25;
hn_div_ho_3 := 0.125;
omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, "");
omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, "");
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, "");
value3 := omniabs(array_y[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_value3 < value3 then
max_value3 := value3;
omniout_float(ALWAYS, "value3", 32, value3, 32, "")
end if;
omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, "");
max_value3
end proc
> # End Function number 5
> # Begin Function number 6
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1
> ret := true;
> else
> ret := false;
> fi;# end if 1;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 6
> # Begin Function number 7
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 1
> if (iter >= 0) then # if number 2
> ind_var := array_x[1];
> omniout_float(ALWAYS,"x[1] ",33,ind_var,20," ");
> analytic_val_y := exact_soln_y(ind_var);
> omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," ");
> term_no := 1;
> numeric_val := array_y[term_no];
> abserr := omniabs(numeric_val - analytic_val_y);
> omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," ");
> if (omniabs(analytic_val_y) <> 0.0) then # if number 3
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 4
> glob_good_digits := -trunc(log10(relerr)) + 2;
> else
> glob_good_digits := Digits;
> fi;# end if 4;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 3;
> if (glob_iter = 1) then # if number 3
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 3;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 2;
> #BOTTOM DISPLAY ALOT
> fi;# end if 1;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter then
ind_var := array_x[1];
omniout_float(ALWAYS, "x[1] ", 33,
ind_var, 20, " ");
analytic_val_y := exact_soln_y(ind_var);
omniout_float(ALWAYS, "y[1] (analytic) ", 33,
analytic_val_y, 20, " ");
term_no := 1;
numeric_val := array_y[term_no];
abserr := omniabs(numeric_val - analytic_val_y);
omniout_float(ALWAYS, "y[1] (numeric) ", 33,
numeric_val, 20, " ");
if omniabs(analytic_val_y) <> 0. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 2
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 7
> # Begin Function number 8
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 2
> glob_normmax := tmp;
> fi;# end if 2
> fi;# end if 1;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 2
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 2
> fi;# end if 1;
> if ( not glob_reached_optimal_h) then # if number 1
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 1;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[1]/10.0;
if sz2 < hnew then
omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity.");
omniout_str(INFO, "Reached Optimal");
return hnew
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 8
> # Begin Function number 9
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> clock_sec1 := elapsed_time_seconds();
> total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
> glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
> left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec));
> opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec);
> glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> omniout_str_noeol(INFO,"Total Elapsed Time ");
> omniout_timestr(convfloat(total_clock_sec));
> omniout_str_noeol(INFO,"Elapsed Time(since restart) ");
> omniout_timestr(convfloat(glob_clock_sec));
> if (convfloat(percent_done) < convfloat(100.0)) then # if number 1
> omniout_str_noeol(INFO,"Expected Time Remaining ");
> omniout_timestr(convfloat(expect_sec));
> omniout_str_noeol(INFO,"Optimized Time Remaining ");
> omniout_timestr(convfloat(glob_optimal_expect_sec));
> omniout_str_noeol(INFO,"Expected Total Time ");
> omniout_timestr(convfloat(glob_total_exp_sec));
> fi;# end if 1;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
clock_sec1 := elapsed_time_seconds();
total_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_orig_start_sec);
glob_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_clock_start_sec);
left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
convfloat(clock_sec1) - convfloat(glob_orig_start_sec));
opt_clock_sec :=
convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec);
glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
omniout_str_noeol(INFO, "Total Elapsed Time ");
omniout_timestr(convfloat(total_clock_sec));
omniout_str_noeol(INFO, "Elapsed Time(since restart) ");
omniout_timestr(convfloat(glob_clock_sec));
if convfloat(percent_done) < convfloat(100.0) then
omniout_str_noeol(INFO, "Expected Time Remaining ");
omniout_timestr(convfloat(expect_sec));
omniout_str_noeol(INFO, "Optimized Time Remaining ");
omniout_timestr(convfloat(glob_optimal_expect_sec));
omniout_str_noeol(INFO, "Expected Total Time ");
omniout_timestr(convfloat(glob_total_exp_sec))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 9
> # Begin Function number 10
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
> #TOP CHECK FOR POLE
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2
> m := m - 1;
> od;# end do number 2;
> if (m > 10) then # if number 1
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_pole[1,1] := rcs;
> array_real_pole[1,2] := ord_no;
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 2
> else
> array_real_pole[1,1] := glob_large_float;
> array_real_pole[1,2] := glob_large_float;
> fi;# end if 1;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 2
> if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 1;
> n := n - 1;
> od;# end do number 2;
> m := n + cnt;
> if (m <= 10) then # if number 1
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> elif
> (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) > glob_small_float) then # if number 5
> if (rcs > 0.0) then # if number 6
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 6
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 5
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 4
> fi;# end if 3;
> array_complex_pole[1,1] := rad_c;
> array_complex_pole[1,2] := ord_no;
> fi;# end if 2;
> #BOTTOM RADII COMPLEX EQ = 1
> found_sing := 0;
> #TOP WHICH RADII EQ = 1
> if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 2;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> found_sing := 1;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2
> array_poles[1,1] := array_real_pole[1,1];
> array_poles[1,2] := array_real_pole[1,2];
> found_sing := 1;
> array_type_pole[1] := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Real estimate of pole used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2
> array_poles[1,1] := array_complex_pole[1,1];
> array_poles[1,2] := array_complex_pole[1,2];
> array_type_pole[1] := 2;
> found_sing := 1;
> if (glob_display_flag) then # if number 3
> if (reached_interval()) then # if number 4
> omniout_str(ALWAYS,"Complex estimate of poles used for equation 1");
> fi;# end if 4;
> fi;# end if 3;
> fi;# end if 2;
> if (1 <> found_sing ) then # if number 2
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> array_type_pole[1] := 3;
> if (reached_interval()) then # if number 3
> omniout_str(ALWAYS,"NO POLE for equation 1");
> fi;# end if 3;
> fi;# end if 2;
> #BOTTOM WHICH RADII EQ = 1
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> #TOP WHICH RADIUS EQ = 1
> if (array_pole[1] > array_poles[1,1]) then # if number 2
> array_pole[1] := array_poles[1,1];
> array_pole[2] := array_poles[1,2];
> fi;# end if 2;
> #BOTTOM WHICH RADIUS EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 2
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 2;
> glob_h := h_new;
> fi;# end if 2;
> #BOTTOM ADJUST ALL SERIES
> if (reached_interval()) then # if number 2
> display_pole();
> fi;# end if 2
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no,
rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (
omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or
omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float
or
omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float)
do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if glob_small_float*glob_small_float < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_pole[1, 1] := rcs;
array_real_pole[1, 2] := ord_no
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if
else
array_real_pole[1, 1] := glob_large_float;
array_real_pole[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if glob_small_float < omniabs(array_y_higher[1, n]) then
cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
elif glob_large_float <= omniabs(array_y_higher[1, m]) or
glob_large_float <= omniabs(array_y_higher[1, m - 1]) or
glob_large_float <= omniabs(array_y_higher[1, m - 2]) or
glob_large_float <= omniabs(array_y_higher[1, m - 3]) or
glob_large_float <= omniabs(array_y_higher[1, m - 4]) or
glob_large_float <= omniabs(array_y_higher[1, m - 5]) or
omniabs(array_y_higher[1, m]) <= glob_small_float or
omniabs(array_y_higher[1, m - 1]) <= glob_small_float or
omniabs(array_y_higher[1, m - 2]) <= glob_small_float or
omniabs(array_y_higher[1, m - 3]) <= glob_small_float or
omniabs(array_y_higher[1, m - 4]) <= glob_small_float or
omniabs(array_y_higher[1, m - 5]) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or
omniabs(dr1) <= glob_small_float then
rad_c := glob_large_float; ord_no := glob_large_float
else
if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if glob_small_float < omniabs(rcs) then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_pole[1, 1] := rad_c;
array_complex_pole[1, 2] := ord_no
end if;
found_sing := 0;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and
array_complex_pole[1, 1] <> glob_large_float and
array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 2;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and
array_real_pole[1, 2] <> glob_large_float and
0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float or
array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or
array_real_pole[1, 2] = glob_large_float) and (
array_complex_pole[1, 1] = glob_large_float or
array_complex_pole[1, 2] = glob_large_float) then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1]
and 0. < array_real_pole[1, 1] and
-1.0*glob_smallish_float < array_real_pole[1, 2] then
array_poles[1, 1] := array_real_pole[1, 1];
array_poles[1, 2] := array_real_pole[1, 2];
found_sing := 1;
array_type_pole[1] := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Real estimate of pole used for equation 1")
end if
end if
end if;
if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float
and array_complex_pole[1, 2] <> glob_large_float and
0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then
array_poles[1, 1] := array_complex_pole[1, 1];
array_poles[1, 2] := array_complex_pole[1, 2];
array_type_pole[1] := 2;
found_sing := 1;
if glob_display_flag then
if reached_interval() then omniout_str(ALWAYS,
"Complex estimate of poles used for equation 1")
end if
end if
end if;
if 1 <> found_sing then
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
array_type_pole[1] := 3;
if reached_interval() then
omniout_str(ALWAYS, "NO POLE for equation 1")
end if
end if;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
if array_poles[1, 1] < array_pole[1] then
array_pole[1] := array_poles[1, 1];
array_pole[2] := array_poles[1, 2]
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_pole() end if
end proc
> # End Function number 10
> # Begin Function number 11
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 2
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 2;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 2
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 3;
> iii := iii + 1;
> od;# end do number 2
> #BOTTOM GET NORMS
> ;
> fi;# end if 2;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 11
> # Begin Function number 12
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
> #emit pre cosh LINEAR $eq_no = 1
> array_tmp3[1] := cosh(array_tmp2[1]);
> array_tmp3_g[1] := sinh(array_tmp2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> array_tmp3[2] := array_tmp3_g[1] * array_tmp2[2] / 1;
> array_tmp3_g[2] := array_tmp3[1] * array_tmp2[2] / 1;
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> array_tmp3[3] := array_tmp3_g[2] * array_tmp2[2] / 2;
> array_tmp3_g[3] := array_tmp3[2] * array_tmp2[2] / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> array_tmp3[4] := array_tmp3_g[3] * array_tmp2[2] / 3;
> array_tmp3_g[4] := array_tmp3[3] * array_tmp2[2] / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> array_tmp3[5] := array_tmp3_g[4] * array_tmp2[2] / 4;
> array_tmp3_g[5] := array_tmp3[4] * array_tmp2[2] / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit cosh LINEAR $eq_no = 1
> array_tmp3[kkk] := array_tmp3_g[kkk - 1] * array_tmp2[2] / (kkk - 1);
> array_tmp3_g[kkk] := -array_tmp3[kkk - 1] * array_tmp2[2] / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 2
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 2
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
array_tmp3[1] := cosh(array_tmp2[1]);
array_tmp3_g[1] := sinh(array_tmp2[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp3_g[1]*array_tmp2[2];
array_tmp3_g[2] := array_tmp3[1]*array_tmp2[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 1/2*array_tmp3_g[2]*array_tmp2[2];
array_tmp3_g[3] := 1/2*array_tmp3[2]*array_tmp2[2];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 1/3*array_tmp3_g[3]*array_tmp2[2];
array_tmp3_g[4] := 1/3*array_tmp3[3]*array_tmp2[2];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 1/4*array_tmp3_g[4]*array_tmp2[2];
array_tmp3_g[5] := 1/4*array_tmp3[4]*array_tmp2[2];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := array_tmp3_g[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3_g[kkk] := -array_tmp3[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 12
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s\n", str) end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then
printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then
printf("%-30s = %-32d %s\n", prelabel, value, postlabel)
else printf("%-30s = %-32d %s \n", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " | \n")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(
" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",
years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(
" = %d Days %d Hours %d Minutes %d Seconds\n", days_int,
hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(
" = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int)
else printf(" = %d Seconds\n", sec_int)
end if
else printf(" Unknown\n")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
iii_att := jjj_att;
while iii_att <= mmm_att do
lll_att := ma_att - iii_att;
al_att := lll_att - 1;
if lll_att <= glob_max_terms then ret_att :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," ");
> omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," ");
> end;
display_pole_debug := proc(typ, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4,
" ");
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> display_pole := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6
> omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," ");
> omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," ");
> fi;# end if 6
> end;
display_pole := proc()
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if array_pole[1] <> glob_large_float and 0. < array_pole[1] and
array_pole[2] <> glob_large_float and 0. < array_pole[2] and
glob_display_flag then
omniout_float(ALWAYS, "Radius of convergence ", 4,
array_pole[1], 4, " ");
omniout_float(ALWAYS, "Order of pole ", 4,
array_pole[2], 4, " ")
end if
end proc
> # End Function number 16
> # Begin Function number 17
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 20
> # Begin Function number 21
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 21
> # Begin Function number 22
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> else
> fprintf(file,"No Pole");
> fi;# end if 8
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
else fprintf(file, "No Pole")
end if;
fprintf(file, " | ")
end proc
> # End Function number 23
> # Begin Function number 24
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 24
> # Begin Function number 25
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file) fprintf(file, "\n") end proc
> # End Function number 25
> # Begin Function number 26
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 8;
> if (glob_max_iter < 2) then # if number 8
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 8;
> if (errflag) then # if number 8
> quit;
> fi;# end if 8
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 26
> # Begin Function number 27
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 8
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 9
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 9
> fi;# end if 8;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 27
> # Begin Function number 28
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 8
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 8;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 28
> # Begin Function number 29
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 29
> # Begin Function number 30
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 8
> if (array_fact_1[nnn] = 0) then # if number 9
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 9;
> else
> ret := factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8
> if (array_fact_2[mmm,nnn] = 0) then # if number 9
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 9;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 8;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 31
> # Begin Function number 32
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 33
> # Begin Function number 34
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 34
> # Begin Function number 35
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 35
> # Begin Function number 36
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 36
> # Begin Function number 37
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,"");
> desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer);
> omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,"");
> range := (x_end - x_start);
> omniout_float(ALWAYS,"range",32,range,32,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, "");
desired_abs_gbl_error :=
expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer);
omniout_float(ALWAYS, "desired_abs_gbl_error", 32,
desired_abs_gbl_error, 32, "");
range := x_end - x_start;
omniout_float(ALWAYS, "range", 32, range, 32, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 37
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(sinh(2.0*x+3.0)/2);
> end;
exact_soln_y := proc(x) return 1/2*sinh(2.0*x + 3.0) end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_value3,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #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_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_real_pole,
> array_complex_pole,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_value3 := 0.0;
> glob_ratio_of_radius := 0.01;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.1e-200;
> glob_smallish_float := 0.1e-100;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_coshpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 2.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 100;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.001;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(sinh(2.0*x+3.0)/2);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> 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_g:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=2) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_real_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=1) do # do number 2
> term := 1;
> while (term <= 3) do # do number 3
> array_complex_pole[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> ord := 1;
> while (ord <=max_terms) do # do number 2
> term := 1;
> while (term <= max_terms) do # do number 3
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 3;
> ord := ord + 1;
> od;# end do number 2;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_2D0[1] := 2.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_3D0[1] := 3.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 2.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 100;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.001;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> glob_check_sign := check_sign(x_start,x_end);
> glob_h := check_sign(x_start,x_end);
> if (glob_display_interval < glob_h) then # if number 2
> glob_h := glob_display_interval;
> fi;# end if 2;
> if (glob_max_h < glob_h) then # if number 2
> glob_h := glob_max_h;
> fi;# end if 2;
> found_h := -1.0;
> best_h := 0.0;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 3
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 3;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 3
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 4
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 4;
> r_order := r_order + 1;
> od;# end do number 3
> ;
> atomall();
> est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer);
> omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,"");
> value3 := test_suggested_h();
> omniout_float(ALWAYS,"value3",32,value3,32,"");
> if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2
> best_h := glob_h;
> found_h := 1.0;
> fi;# end if 2;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> glob_h := glob_h * 0.5;
> od;# end do number 2;
> if (found_h > 0.0) then # if number 2
> glob_h := best_h ;
> else
> omniout_str(ALWAYS,"No increment to obtain desired accuracy found");
> fi;# end if 2;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 2
> html_log_file := fopen("html/entry.html",WRITE,TEXT);
> fi;# end if 2;
> #BEGIN SOLUTION CODE
> if (found_h > 0.0) then # if number 2
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2
> #left paren 0001C
> if (reached_interval()) then # if number 3
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 3;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 3
> #left paren 0004C
> check_for_pole();
> fi;# end if 3;#was right paren 0004C
> if (reached_interval()) then # if number 3
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 3;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 3;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 3
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 3;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 3
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 4
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 4;
> term_no := term_no - 1;
> od;# end do number 3;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 2;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 3
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 3;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 3;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 3
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-01-28T15:31:37-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_cosh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> logitem_float(html_log_file,array_1st_rel_error[1])
> ;
> logitem_float(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_iter)
> ;
> logitem_pole(html_log_file,array_type_pole[1])
> ;
> if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4
> logitem_float(html_log_file,array_pole[1])
> ;
> logitem_float(html_log_file,array_pole[2])
> ;
> 0;
> else
> logitem_str(html_log_file,"NA")
> ;
> logitem_str(html_log_file,"NA")
> ;
> 0;
> fi;# end if 4;
> logitem_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 4
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 4;
> log_revs(html_log_file," 165 | ")
> ;
> logitem_str(html_log_file,"lin_cosh diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_cosh maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 3;
> if (glob_html_log) then # if number 3
> fclose(html_log_file);
> fi;# end if 3
> ;
> ;;
> fi;# end if 2
> #END OUTFILEMAIN
> end;
main := proc()
local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff,
term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii,
temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp,
subiter, est_needed_step_err, value3, min_value, est_answer, best_h,
found_h, repeat_it;
global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE,
MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct,
glob_max_value3, glob_ratio_of_radius, glob_percent_done,
glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec,
glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump,
glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute,
glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour,
glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec,
glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass,
glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done,
glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h,
glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display,
glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter,
glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs,
glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float,
glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2,
glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt,
glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1,
array_const_0D0, array_const_2D0, array_const_3D0, 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_g, array_tmp3, array_tmp4, array_m1,
array_y_higher, array_y_higher_work, array_y_higher_work2,
array_y_set_initial, array_poles, array_real_pole, array_complex_pole,
array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_value3 := 0.;
glob_ratio_of_radius := 0.01;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.1*10^(-200);
glob_smallish_float := 0.1*10^(-100);
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_coshpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 2.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 100;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.001;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(sinh(2.0*x+3.0)/2);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
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_g := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 2, 0 .. 4, []);
array_real_pole := Array(0 .. 2, 0 .. 4, []);
array_complex_pole := Array(0 .. 2, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do
array_type_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_real_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 1 do
term := 1;
while term <= 3 do
array_complex_pole[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 2.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 100;
glob_desired_digits_correct := 10;
glob_display_interval := 0.001;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
glob_check_sign := check_sign(x_start, x_end);
glob_h := check_sign(x_start, x_end);
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
found_h := -1.0;
best_h := 0.;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
while opt_iter <= 20 and found_h < 0. do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
est_needed_step_err :=
estimated_needed_step_error(x_start, x_end, glob_h, est_answer)
;
omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, "");
value3 := test_suggested_h();
omniout_float(ALWAYS, "value3", 32, value3, 32, "");
if value3 < est_needed_step_err and found_h < 0. then
best_h := glob_h; found_h := 1.0
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1;
glob_h := glob_h*0.5
end do;
if 0. < found_h then glob_h := best_h
else omniout_str(ALWAYS,
"No increment to obtain desired accuracy found")
end if;
if glob_html_log then
html_log_file := fopen("html/entry.html", WRITE, TEXT)
end if;
if 0. < found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) <
convfloat(glob_max_sec) do
if reached_interval() then
omniout_str(INFO, " ");
omniout_str(INFO, "TOP MAIN SOLVE Loop")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-01-28T15:31:37-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_cosh");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
logitem_float(html_log_file, array_1st_rel_error[1]);
logitem_float(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_iter);
logitem_pole(html_log_file, array_type_pole[1]);
if array_type_pole[1] = 1 or array_type_pole[1] = 2 then
logitem_float(html_log_file, array_pole[1]);
logitem_float(html_log_file, array_pole[2]);
0
else
logitem_str(html_log_file, "NA");
logitem_str(html_log_file, "NA");
0
end if;
logitem_time(html_log_file, convfloat(glob_clock_sec));
if glob_percent_done < 100.0 then
logitem_time(html_log_file, convfloat(glob_total_exp_sec));
0
else logitem_str(html_log_file, "Done"); 0
end if;
log_revs(html_log_file, " 165 | ");
logitem_str(html_log_file, "lin_cosh diffeq.mxt");
logitem_str(html_log_file, "lin_cosh maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 12
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_coshpostode.ode#################
diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 2.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 100;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.001;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(sinh(2.0*x+3.0)/2);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 1.9
estimated_steps = 1900
step_error = 5.2631578947368421052631578947368e-14
est_needed_step_err = 5.2631578947368421052631578947368e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
value3 = 1.0188373709646786804023552540039e-96
max_value3 = 1.0188373709646786804023552540039e-96
value3 = 1.0188373709646786804023552540039e-96
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 6.122941998282745607098546116455
y[1] (numeric) = 6.122941998282745607098546116455
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.101
y[1] (analytic) = 6.1352408985624670971444612449505
y[1] (numeric) = 6.1352408985624670971441491253906
absolute error = 3.121195599e-22
relative error = 5.0873236285331836119900165557855e-21 %
Correct digits = 22
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 6.1475643398139631593475578117395
y[1] (numeric) = 6.1475643398139631593469329498258
absolute error = 6.248619137e-22
relative error = 1.0164381845557219411831727924981e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 6.1599123713310152309492774581145
y[1] (numeric) = 6.1599123713310152309483392298023
absolute error = 9.382283122e-22
relative error = 1.5231195764514917352933142560545e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 6.1722850425057658442021245328095
y[1] (numeric) = 6.1722850425057658442008723128005
absolute error = 1.2522200090e-21
relative error = 2.0287786457957158381522923178663e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 6.184682402828916195005651300841
y[1] (numeric) = 6.1846824028289161950040844625808
absolute error = 1.5668382602e-21
relative error = 2.5334174952675296986838050525162e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 6.1971045018899241057772291521095
y[1] (numeric) = 6.1971045018899241057753470677855
absolute error = 1.8820843240e-21
relative error = 3.0370382223278997882730036799693e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 6.209551389377202383349457556798
y[1] (numeric) = 6.2095513893772023833472595973368
absolute error = 2.1979594612e-21
relative error = 3.5396429200345954741170944157476e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 6.22202311507831757268764262168
y[1] (numeric) = 6.2220231150783175726851281567442
absolute error = 2.5144649358e-21
relative error = 4.0412336780082020617300203162734e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 6.234519728880189107222360382253
y[1] (numeric) = 6.2345197288801891072195287802395
absolute error = 2.8316020135e-21
relative error = 4.5418125800182480455569829624673e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 6.2470412807692888565937064264915
y[1] (numeric) = 6.2470412807692888565905570545281
absolute error = 3.1493719634e-21
relative error = 5.0413817067208048337379201407130e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 6.2595878208318410726054230932725
y[1] (numeric) = 6.259587820831841072601955317217
absolute error = 3.4677760555e-21
relative error = 5.5399431316536186504357098742362e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 6.272159399254022734188688328589
y[1] (numeric) = 6.2721593992540227341849015130245
absolute error = 3.7868155645e-21
relative error = 6.0374989273237916979826324640538e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 6.2847560663221642921769463218185
y[1] (numeric) = 6.2847560663221642921728398300521
absolute error = 4.1064917664e-21
relative error = 6.5340511597662002293321732398790e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 6.2973778724229508146947592890415
y[1] (numeric) = 6.2973778724229508146903324831025
absolute error = 4.4268059390e-21
relative error = 7.0296018893602807377977286022679e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=3.8MB, alloc=2.9MB, time=0.16
x[1] = 0.115
y[1] (analytic) = 6.310024868043623533965262227008
y[1] (numeric) = 6.3100248680436235339605144676434
absolute error = 4.7477593646e-21
relative error = 7.5241531751237101223426042450624e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 6.3226971037721817953424081362925
y[1] (numeric) = 6.3226971037721817953373387829661
absolute error = 5.0693533264e-21
relative error = 8.0177070689905027008119507336935e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 6.3353946302975854093758001118955
y[1] (numeric) = 6.3353946302975854093704085227845
absolute error = 5.3915891110e-21
relative error = 8.5102656197862561754324544249076e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 6.3481174984099574077175188304135
y[1] (numeric) = 6.3481174984099574077118043624065
absolute error = 5.7144680070e-21
relative error = 9.0018308710122795448308621168645e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 6.360865759000787203681969331435
y[1] (numeric) = 6.3608657590007872036759313401281
absolute error = 6.0379913069e-21
relative error = 9.4924048638443412784401819262330e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 6.3736394630631341582713896034225
y[1] (numeric) = 6.3736394630631341582650274431188
absolute error = 6.3621603037e-21
relative error = 9.9819896317799919280943852096324e-20 %
Correct digits = 21
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 6.386438661691831552481285347548
y[1] (numeric) = 6.3864386616918315524745983712535
absolute error = 6.6869762945e-21
relative error = 1.0470587206310931700290736374866e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 6.399263406083690966701680413172
y[1] (numeric) = 6.3992634060836909666946679725936
absolute error = 7.0124405784e-21
relative error = 1.0958199613620170721415393339527e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 6.412113747537707068031700782482
y[1] (numeric) = 6.4121137475377070680243622280245
absolute error = 7.3385544575e-21
relative error = 1.1444828876153440236355649369245e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 6.424989737455262806326641635672
y[1] (numeric) = 6.4249897374552628063189763164356
absolute error = 7.6653192364e-21
relative error = 1.1930477011837209344755643822595e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 6.4378914273403350197983019585275
y[1] (numeric) = 6.4378914273403350197903092223053
absolute error = 7.9927362222e-21
relative error = 1.2415146034082797375000157969174e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 6.450818868799700450991009367895
y[1] (numeric) = 6.4508188687997004509826885611711
absolute error = 8.3208067239e-21
relative error = 1.2898837950860410590811985347328e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 6.4637721135431421739573993338255
y[1] (numeric) = 6.4637721135431421739487498017712
absolute error = 8.6495320543e-21
relative error = 1.3381554767652111570129457377060e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 6.476751213383656433459657776739
y[1] (numeric) = 6.476751213383656433450678863211
absolute error = 8.9789135280e-21
relative error = 1.3863298484347889733819919282124e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 6.4897562202376598970235841203745
y[1] (numeric) = 6.4897562202376598970142751679115
absolute error = 9.3089524630e-21
relative error = 1.4344071097726223919704555002470e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 6.5027871861251973206744832931055
y[1] (numeric) = 6.5027871861251973206648436429263
absolute error = 9.6396501792e-21
relative error = 1.4823874599137787410005119449303e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 6.5158441631701496291855498980835
y[1] (numeric) = 6.5158441631701496291755788900841
absolute error = 9.9710079994e-21
relative error = 1.5302710976053809806545368711786e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 6.528927203600442411671065823182
y[1] (numeric) = 6.5289272036004424116607627959333
absolute error = 1.03030272487e-20
relative error = 1.5780582211145335259080598824349e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 6.542036359748254833358393941529
y[1] (numeric) = 6.5420363597482548333477582322732
absolute error = 1.06357092558e-20
relative error = 1.6257490284277897929749481072340e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 6.555171684050228964374415269147
y[1] (numeric) = 6.5551716840502289643634462137961
absolute error = 1.09690553509e-20
relative error = 1.6733437169295579471898685369634e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 6.568333229047679526383725004561
y[1] (numeric) = 6.5683332290476795263724219376935
absolute error = 1.13030668675e-20
relative error = 1.7208424836781299430320412779794e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 6.581521047386804057917574282815
y[1] (numeric) = 6.5815210473868040579059365376732
absolute error = 1.16377451418e-20
relative error = 1.7682455253137528187887974693074e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 6.594735191818893499234219239887
y[1] (numeric) = 6.5947351918188934992222461483746
absolute error = 1.19730915124e-20
relative error = 1.8155530380132977533010958380015e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 6.607975715200543197553017109679
y[1] (numeric) = 6.607975715200543197540708002358
absolute error = 1.23091073210e-20
relative error = 1.8627652175968136267541645015915e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 6.6212426704938643335062905713045
y[1] (numeric) = 6.6212426704938643334936447773935
absolute error = 1.26457939110e-20
relative error = 1.9098822593156485640372381647305e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 6.6345361107666957696546664360375
y[1] (numeric) = 6.6345361107666957696416832834078
absolute error = 1.29831526297e-20
relative error = 1.9569043581857375265623831114246e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 6.647856089192816321913283017736
y[1] (numeric) = 6.6478560891928163218999618329093
absolute error = 1.33211848267e-20
relative error = 2.0038317087452866701468881373334e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 6.6612026590521574547379521746025
y[1] (numeric) = 6.6612026590521574547242922827491
absolute error = 1.36598918534e-20
relative error = 2.0506645049805025844806314478958e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
memory used=7.6MB, alloc=4.1MB, time=0.33
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 6.6745758737310164009220570505245
y[1] (numeric) = 6.6745758737310164009080577754594
absolute error = 1.39992750651e-20
relative error = 2.0974029406417632389761762736923e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 6.68797578672226970685666498774
y[1] (numeric) = 6.6879757867222697068423256519209
absolute error = 1.43393358191e-20
relative error = 2.1440472089579152747995783177499e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 6.7014024516255872041080369360135
y[1] (numeric) = 6.7014024516255872040933568605372
absolute error = 1.46800754763e-20
relative error = 2.1905975028762811775277425220829e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 6.714855922147646408168419953648
y[1] (numeric) = 6.7148559221476464081533984582494
absolute error = 1.50214953986e-20
relative error = 2.2370540146743161959766905912100e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 6.728336252102347345237718089379
y[1] (numeric) = 6.7283362521023473452223544924263
absolute error = 1.53635969527e-20
relative error = 2.2834169365271339501531804252543e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 6.7418434954110278078953490582555
y[1] (numeric) = 6.7418434954110278078796426767491
absolute error = 1.57063815064e-20
relative error = 2.3296864599557771373749311616573e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 6.755377706102679040523309685956
y[1] (numeric) = 6.7553777061026790405072598355249
absolute error = 1.60498504311e-20
relative error = 2.3758627761998965701836876341769e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 6.7689389383141618553431921013725
y[1] (numeric) = 6.7689389383141618553267980962717
absolute error = 1.63940051008e-20
relative error = 2.4219460760689043945399864861858e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 6.782527246290423179931615113686
y[1] (numeric) = 6.7825272462904231799148762667944
absolute error = 1.67388468916e-20
relative error = 2.4679365498686349131575153906362e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 6.79614268438471303708026112439
y[1] (numeric) = 6.7961426843847130370631767472068
absolute error = 1.70843771832e-20
relative error = 2.5138343876231800341672591085607e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 6.809785307058801957868438303712
y[1] (numeric) = 6.8097853070588019578510077063544
absolute error = 1.74305973576e-20
relative error = 2.5596397788828980727752844986721e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 6.8234551688831988288178206115705
y[1] (numeric) = 6.8234551688831988288000431027708
absolute error = 1.77775087997e-20
relative error = 2.6053529128131812998153929954183e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 6.8371523245373691740007545724875
y[1] (numeric) = 6.83715232453736917398262945959
absolute error = 1.81251128975e-20
relative error = 2.6509739782236637943046148590636e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 6.850876828809953872975261528727
y[1] (numeric) = 6.8508768288099538729567881176858
absolute error = 1.84734110412e-20
relative error = 2.6965031634365207447697737821853e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 6.864628736598988315421607403293
y[1] (numeric) = 6.8646287365989883154027849986697
absolute error = 1.88224046233e-20
relative error = 2.7419406563020292646596570258558e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 6.878408102912121993357058811275
y[1] (numeric) = 6.878408102912121993337886716234
absolute error = 1.91720950410e-20
relative error = 2.7872866445483339757959981789377e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 6.8922149828668385318071946713455
y[1] (numeric) = 6.8922149828668385317876721876535
absolute error = 1.95224836920e-20
relative error = 2.8325413151694176281681344905997e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 6.906049431690676158813896296045
y[1] (numeric) = 6.9060494316906761587940227240664
absolute error = 1.98735719786e-20
relative error = 2.8777048550222631420567257399299e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 6.9199115047214486156618962867605
y[1] (numeric) = 6.9199115047214486156416709254553
absolute error = 2.02253613052e-20
relative error = 2.9227774504630957278316651919216e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 6.9338012574074665082075274341485
y[1] (numeric) = 6.9338012574074665081869495810702
absolute error = 2.05778530783e-20
relative error = 2.9677592873485409571761006658473e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 6.947718745307759100195077234133
y[1] (numeric) = 6.9477187453077591001741461854253
absolute error = 2.09310487077e-20
relative error = 3.0126505512095005476733011683045e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 6.961664024092296549447921580618
y[1] (numeric) = 6.9616640240922965494266366310108
absolute error = 2.12849496072e-20
relative error = 3.0574514273511294895478667616983e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 6.9756371495422125878233826957625
y[1] (numeric) = 6.9756371495422125878017431385708
absolute error = 2.16395571917e-20
relative error = 3.1021621004355323671201507295535e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 6.9896381775500276458220314141645
y[1] (numeric) = 6.9896381775500276458000365412843
absolute error = 2.19948728802e-20
relative error = 3.1467827549135784814175107151978e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 7.0036671641198724227439325556525
y[1] (numeric) = 7.0036671641198724227215816575592
absolute error = 2.23508980933e-20
relative error = 3.1913135746662460200927328339890e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 7.0177241653677119032861143097685
y[1] (numeric) = 7.0177241653677119032634066755136
absolute error = 2.27076342549e-20
relative error = 3.2357547432487572649975944628422e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 7.031809237521569821477328320504
y[1] (numeric) = 7.0318092375215698214542632377108
absolute error = 2.30650827932e-20
relative error = 3.2801064440322494868555640564385e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 7.045922436921753572847956509611
y[1] (numeric) = 7.0459224369217535728245332644742
absolute error = 2.34232451368e-20
relative error = 3.3243688596483083859702432958471e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=4.2MB, time=0.51
x[1] = 0.171
y[1] (analytic) = 7.0600638200210795757347136180105
y[1] (numeric) = 7.0600638200210795757109314952916
absolute error = 2.37821227189e-20
relative error = 3.3685421725874699756123968969371e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 7.074233443385099082621590984576
y[1] (numeric) = 7.0742334433850990825974492676015
absolute error = 2.41417169745e-20
relative error = 3.4126265648010508607363529853040e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 7.0884313636923244424202872271605
y[1] (numeric) = 7.0884313636923244423957851978177
absolute error = 2.45020293428e-20
relative error = 3.4566222180413452287577647472537e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 7.102657637734455814595175249263
y[1] (numeric) = 7.1026576377344558145703121879985
absolute error = 2.48630612645e-20
relative error = 3.5005293134797081155657526164381e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 7.116912322416608336039662374498
y[1] (numeric) = 7.1169123224166083360144375603141
absolute error = 2.52248141839e-20
relative error = 3.5443480320036736099671592290368e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 7.131195474757539741612611417189
y[1] (numeric) = 7.1311954747575397415870241276413
absolute error = 2.55872895477e-20
relative error = 3.5880785540477652456061259170350e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 7.145507151889878439245305138271
y[1] (numeric) = 7.1455071518898784392193546494646
absolute error = 2.59504888064e-20
relative error = 3.6317210597902051881299120265850e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 7.1598474110603520405312548184535
y[1] (numeric) = 7.1598474110603520405049404050416
absolute error = 2.63144134119e-20
relative error = 3.6752757288165326810274012314275e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 7.174216309630016347712975612595
y[1] (numeric) = 7.1742163096300163476862965477739
absolute error = 2.66790648211e-20
relative error = 3.7187427406235921009038791053535e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 7.188613905074484797981676937693
y[1] (numeric) = 7.1886139050744847979546324932015
absolute error = 2.70444444915e-20
relative error = 3.7621222740046127268589756554473e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 7.2030402549841583660076453991935
y[1] (numeric) = 7.2030402549841583659802348453083
absolute error = 2.74105538852e-20
relative error = 3.8054145076078412092420993589129e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 7.2174954170644559256209306836725
y[1] (numeric) = 7.2174954170644559255931532892059
absolute error = 2.77773944666e-20
relative error = 3.8486196196156079471265706289990e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 7.2319794491360450715637814477925
y[1] (numeric) = 7.2319794491360450715356364800898
absolute error = 2.81449677027e-20
relative error = 3.8917377877867567837101410679179e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 7.246492409135073402238118521037
y[1] (numeric) = 7.246492409135073402209605245973
absolute error = 2.85132750640e-20
relative error = 3.9347691895813752088264306183806e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 7.261034355113400264373176720491
y[1] (numeric) = 7.2610343551134002643442944024666
absolute error = 2.88823180244e-20
relative error = 3.9777140021463135165892933189709e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 7.2756053452388289605402942572275
y[1] (numeric) = 7.2756053452388289605110421591687
absolute error = 2.92520980588e-20
relative error = 4.0205724019847548331329929891611e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 7.2902054377953394204436801030755
y[1] (numeric) = 7.2902054377953394204140574864281
absolute error = 2.96226166474e-20
relative error = 4.0633445655487996213203889430817e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 7.304834691183321336917844791053
y[1] (numeric) = 7.3048346911833213368878509157814
absolute error = 2.99938752716e-20
relative error = 4.1060306686750287431511735930425e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 7.3194931639198077675642389500515
y[1] (numeric) = 7.3194931639198077675338730746346
absolute error = 3.03658754169e-20
relative error = 4.1486308869831861998005321450143e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 7.334180914638709202961506431783
y[1] (numeric) = 7.334180914638709202930767813212
absolute error = 3.07386185710e-20
relative error = 4.1911453956156223698070830385062e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 7.3488980020910481023856251831015
y[1] (numeric) = 7.3488980020910481023545130768764
absolute error = 3.11121062251e-20
relative error = 4.2335743694153044917109623512908e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 7.36364448514519389797807905697
y[1] (numeric) = 7.3636444851451938979465927170975
absolute error = 3.14863398725e-20
relative error = 4.2759179827350346070723070464387e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 7.3784204227870984683020775481075
y[1] (numeric) = 7.378420422787098468270216227096
absolute error = 3.18613210115e-20
relative error = 4.3181764098317424344192881301120e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 7.3932258741205320822287179921465
y[1] (numeric) = 7.3932258741205320821964809410059
absolute error = 3.22370511406e-20
relative error = 4.3603498242145601673040125747239e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 7.4080608983673198140968660875595
y[1] (numeric) = 7.4080608983673198140642525557964
absolute error = 3.26135317631e-20
relative error = 4.4024383992696083187095018873939e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 7.422925554867578431092415695081
y[1] (numeric) = 7.4229255548675784310594249306953
absolute error = 3.29907643857e-20
relative error = 4.4444423080689969311370443494539e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 7.43781990307995375379447774752
y[1] (numeric) = 7.4378199030799537537611089970036
absolute error = 3.33687505164e-20
relative error = 4.4863617230879996664204324336795e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 7.4527440025818584908379407712045
y[1] (numeric) = 7.452744002581858490804193279537
absolute error = 3.37474916675e-20
relative error = 4.5281968166099407950749805182041e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 7.4676979130697105486437419864035
y[1] (numeric) = 7.4676979130697105486096149970496
memory used=15.2MB, alloc=4.3MB, time=0.68
absolute error = 3.41269893539e-20
relative error = 4.5699477604968601565796256757478e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 7.482681694359171817170088225565
y[1] (numeric) = 7.4826816943591718171355809804708
absolute error = 3.45072450942e-20
relative error = 4.6116147263371267438351567901220e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 7.497695406385387432639769992628
y[1] (numeric) = 7.4976954063853874326048817322199
absolute error = 3.48882604081e-20
relative error = 4.6531978850978033467337883641302e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 7.5127391092032255182006198916925
y[1] (numeric) = 7.5127391092032255181653498548714
absolute error = 3.52700368211e-20
relative error = 4.6946974077528715214852159700607e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 7.5278128629875174034780783865185
y[1] (numeric) = 7.5278128629875174034424258106594
absolute error = 3.56525758591e-20
relative error = 4.7361134645622392105764240661859e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 7.54291672803329832398074542143
y[1] (numeric) = 7.5429167280332983239447095423767
absolute error = 3.60358790533e-20
relative error = 4.7774462257249141737807638152527e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 7.558050764756048601321715846744
y[1] (numeric) = 7.5580507647560486012852958988078
absolute error = 3.64199479362e-20
relative error = 4.8186958608468049360950325093201e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 7.573215033691935305220419855655
y[1] (numeric) = 7.5732150336919353051836150716107
absolute error = 3.68047840443e-20
relative error = 4.8598625392996007288388910168553e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 7.588409595498054398251616762143
y[1] (numeric) = 7.5884095954980543982144263732263
absolute error = 3.71903889167e-20
relative error = 4.9009464300350621855073279965909e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 7.6036345109526733643101214387455
y[1] (numeric) = 7.6036345109526733642725446746489
absolute error = 3.75767640966e-20
relative error = 4.9419477017829382828525480319001e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 7.618889840955474321761777596598
y[1] (numeric) = 7.6188898409554743217238136854696
absolute error = 3.79639111284e-20
relative error = 4.9828665226690033083380776210844e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 7.6341756465277976222531308357965
y[1] (numeric) = 7.6341756465277976222147790042352
absolute error = 3.83518315613e-20
relative error = 5.0237030606891149684797950853705e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 7.649491988812885936154197029562
y[1] (numeric) = 7.6494919888128859361154565026146
absolute error = 3.87405269474e-20
relative error = 5.0644574834585961445477404238182e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 7.6648389290761288256106681387335
y[1] (numeric) = 7.6648389290761288255715381398927
absolute error = 3.91299988408e-20
relative error = 5.1051299580950858167342425140471e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 7.6802165287053078061838479915115
y[1] (numeric) = 7.6802165287053078061443277427124
absolute error = 3.95202487991e-20
relative error = 5.1457206514152960162629618461829e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 7.6956248492108418980585649149425
y[1] (numeric) = 7.6956248492108418980186536365579
absolute error = 3.99112783846e-20
relative error = 5.1862297300904364133642000474214e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 7.7110639522260336678012663771895
y[1] (numeric) = 7.7110639522260336677609632880297
absolute error = 4.03030891598e-20
relative error = 5.2266573600605769514392199715767e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 7.7265338995073157616524630010405
y[1] (numeric) = 7.726533899507315761611767318347
absolute error = 4.06956826935e-20
relative error = 5.2670037073279351961321903253635e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 7.742034752934497931339655447119
y[1] (numeric) = 7.7420347529344979312985663865641
absolute error = 4.10890605549e-20
relative error = 5.3072689371906823697414598700520e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 7.7575665745110145533988477478945
y[1] (numeric) = 7.7575665745110145533573645235764
absolute error = 4.14832243181e-20
relative error = 5.3474532148265613561209732138832e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 7.773129426364172642994724708554
y[1] (numeric) = 7.7731294263641726429528465329944
absolute error = 4.18781755596e-20
relative error = 5.3875567049689826218863598396190e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 7.788723370745400363231548986141
y[1] (numeric) = 7.7887233707454003631892750702816
absolute error = 4.22739158594e-20
relative error = 5.4275795720492099356105882231410e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 7.8043484700304960309488154218895
y[1] (numeric) = 7.8043484700304960309061449750894
absolute error = 4.26704468001e-20
relative error = 5.4675219800805822142488383771716e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 7.8200047867198776199976861413825
y[1] (numeric) = 7.8200047867198776199546183714146
absolute error = 4.30677699679e-20
relative error = 5.5073840927870958270883223980455e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 7.835692383438832762996219860943
y[1] (numeric) = 7.8356923834388327629527539739908
absolute error = 4.34658869522e-20
relative error = 5.5471660735517827416916832549191e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 7.8514113229377692525634027545125
y[1] (numeric) = 7.851411322937769252519537955167
absolute error = 4.38647993455e-20
relative error = 5.5868680854039208228072548029619e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 7.8671616680924660430339861511415
y[1] (numeric) = 7.867161668092466042989721642398
absolute error = 4.42645087435e-20
relative error = 5.6264902910318253684346614817382e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 7.8829434819043247536581382571115
y[1] (numeric) = 7.8829434819043247536134732403667
absolute error = 4.46650167448e-20
relative error = 5.6660328527447507949756268053148e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 7.8987568275006216742919230366345
y[1] (numeric) = 7.8987568275006216742468567116828
absolute error = 4.50663249517e-20
relative error = 5.7054959325745179157885712200711e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
memory used=19.0MB, alloc=4.3MB, time=0.86
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 7.91460176813476027458662934905
y[1] (numeric) = 7.9146017681347602745411609140812
absolute error = 4.54684349688e-20
relative error = 5.7448796920979610853398187165937e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 7.930478367186524217686987436521
y[1] (numeric) = 7.9304783671865242176411160881152
absolute error = 4.58713484058e-20
relative error = 5.7841842927911122249493146001558e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 7.946386688162330879450327892436
y[1] (numeric) = 7.9463866881623308794040528255627
absolute error = 4.62750668733e-20
relative error = 5.8234098954982394068794690839362e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 7.9623267946954853742007603251925
y[1] (numeric) = 7.9623267946954853741540807332063
absolute error = 4.66795919862e-20
relative error = 5.8625566608617493007342906533297e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 7.9782987505464350880344750727665
y[1] (numeric) = 7.9782987505464350879873901474033
absolute error = 4.70849253632e-20
relative error = 5.9016247492581228749540998009680e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 7.994302619603024720694301528656
y[1] (numeric) = 7.9943026196030247206468104600307
absolute error = 4.74910686253e-20
relative error = 5.9406143206095289183800500047979e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 8.0103384658807518370336909174905
y[1] (numeric) = 8.0103384658807518369857928940931
absolute error = 4.78980233974e-20
relative error = 5.9795255345847014594063924433826e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 8.0264063535230229290923297169685
y[1] (numeric) = 8.0264063535230229290440239256618
absolute error = 4.83057913067e-20
relative error = 6.0183585503987329063456136302923e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 8.0425063468014099898076323699975
y[1] (numeric) = 8.042506346801409989758917996013
absolute error = 4.87143739845e-20
relative error = 6.0571135270380262513793213519355e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 8.0586385101159075993884084751005
y[1] (numeric) = 8.0586385101159075993392847020356
absolute error = 4.91237730649e-20
relative error = 6.0957906230978775523338810652848e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 8.074802907995190525379050292545
y[1] (numeric) = 8.0748029079951905253295163023588
absolute error = 4.95339901862e-20
relative error = 6.1343899969563818353206261900251e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 8.0909996050968718374446411664055
y[1] (numeric) = 8.0909996050968718373946961394164
absolute error = 4.99450269891e-20
relative error = 6.1729118065507579135415998752097e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 8.1072286662077615379094443471515
y[1] (numeric) = 8.1072286662077615378590874620343
absolute error = 5.03568851172e-20
relative error = 6.2113562094400556632114312850721e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 8.123490156244125709083294713556
y[1] (numeric) = 8.1234901562441257090325251473375
absolute error = 5.07695662185e-20
relative error = 6.2497233629902218413466344595136e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 8.1397841402519461784124830450165
y[1] (numeric) = 8.1397841402519461783612999730735
absolute error = 5.11830719430e-20
relative error = 6.2880134240778231556392600304396e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 8.1561106834071807024937937940545
y[1] (numeric) = 8.156110683407180702442196390109
absolute error = 5.15974039455e-20
relative error = 6.3262265494348837087092550112596e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 8.1724698510160236709924327620465
y[1] (numeric) = 8.1724698510160236709404201981633
absolute error = 5.20125638832e-20
relative error = 6.3643628953533131293883083093562e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 8.188861708515167331506660697511
y[1] (numeric) = 8.1888617085151673314542321440945
absolute error = 5.24285534165e-20
relative error = 6.4024226177836536282630438232347e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.246
y[1] (analytic) = 8.205286321472063536424032623782
y[1] (numeric) = 8.2052863214720635363711872495725
absolute error = 5.28453742095e-20
relative error = 6.4404058723960912744205741361265e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 8.221743755585186012816230670021
y[1] (numeric) = 8.2217437555851860127629676420918
absolute error = 5.32630279292e-20
relative error = 6.4783128144826233342414136328877e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 8.238234076684293156421570334596
y[1] (numeric) = 8.2382340766842931563678888183493
absolute error = 5.36815162467e-20
relative error = 6.5161435991031735681497134668313e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 8.2547573507306913507663564612395
y[1] (numeric) = 8.2547573507306913507122556204038
absolute error = 5.41008408357e-20
relative error = 6.5538983809028769500138777855170e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 8.271313643817498812478365764506
y[1] (numeric) = 8.2713136438174988124238447611331
absolute error = 5.45210033729e-20
relative error = 6.5915773141612680317645437020493e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 8.287903022169909963847837510253
y[1] (numeric) = 8.2879030221699099637928955047128
absolute error = 5.49420055402e-20
relative error = 6.6291805530580731947045597695839e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 8.304525552145460333693462947597
y[1] (numeric) = 8.3045255521454603336380990985765
absolute error = 5.53638490205e-20
relative error = 6.6667082511651543887198041160291e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 8.321181300234291987592977309518
y[1] (numeric) = 8.3211813002342919875371907740162
absolute error = 5.57865355018e-20
relative error = 6.7041605619420008186578216913558e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 8.337870333059419488540075658373
y[1] (numeric) = 8.3378703330594194884838655916979
absolute error = 5.62100666751e-20
relative error = 6.7415376384816970841644951356356e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 8.354592717376996389091495558603
y[1] (numeric) = 8.3545927173769963890348611143695
absolute error = 5.66344442335e-20
relative error = 6.7788396334035683353080606237930e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 8.3713485200765822560702355202915
y[1] (numeric) = 8.371348520076582256013175850416
absolute error = 5.70596698755e-20
relative error = 6.8160666992488338347961077134319e-19 %
Correct digits = 20
memory used=22.8MB, alloc=4.3MB, time=1.04
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 8.3881378081814102288930083824685
y[1] (numeric) = 8.3881378081814102288355226371673
absolute error = 5.74857453012e-20
relative error = 6.8532189880250899157292978472092e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 8.4049606488486551125921633027325
y[1] (numeric) = 8.4049606488486551125342506305172
absolute error = 5.79126722153e-20
relative error = 6.8902966515653000496204636708584e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 8.421817109369702006604448798325
y[1] (numeric) = 8.4218171093697020065461083459993
absolute error = 5.83404523257e-20
relative error = 6.9272998413600391269549372616018e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 8.4387072571704154704011323518865
y[1] (numeric) = 8.4387072571704154703423632645431
absolute error = 5.87690873434e-20
relative error = 6.9642287085458008664575359955376e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 8.45563115981140922703613946126
y[1] (numeric) = 8.4556311598114092269769408822769
absolute error = 5.91985789831e-20
relative error = 7.0010834039762372665673764413912e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 8.4725888849883164056910266855
y[1] (numeric) = 8.4725888849883164056313977565378
absolute error = 5.96289289622e-20
relative error = 7.0378640781037055533575863071979e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 8.4895805005320603242977592273075
y[1] (numeric) = 8.4895805005320603242376990883049
absolute error = 6.00601390026e-20
relative error = 7.0745708811920567244383241355510e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 8.5066060744091258133224239040385
y[1] (numeric) = 8.5066060744091258132619316932096
absolute error = 6.04922108289e-20
relative error = 7.1112039631036784382891789014382e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 8.5236656747218310817951730039095
y[1] (numeric) = 8.5236656747218310817342478577399
absolute error = 6.09251461696e-20
relative error = 7.1477634734410539433776037483121e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 8.5407593697086001266738635096575
y[1] (numeric) = 8.5407593697086001266125045629017
absolute error = 6.13589467558e-20
relative error = 7.1842495613939172966224827782387e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 8.5578872277442356866310295074315
y[1] (numeric) = 8.5578872277442356865692358931075
absolute error = 6.17936143240e-20
relative error = 7.2206623760673360154593545891141e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 8.5750493173401927413560032927315
y[1] (numeric) = 8.5750493173401927412937741421198
absolute error = 6.22291506117e-20
relative error = 7.2570020659662196288162493258605e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 8.592245707144852557466182746561
y[1] (numeric) = 8.5922457071448525574035171891994
absolute error = 6.26655573616e-20
relative error = 7.2932687794869122409517071719880e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 8.6094764659437972821236289922425
y[1] (numeric) = 8.6094764659437972820605261559237
absolute error = 6.31028363188e-20
relative error = 7.3294626645898465857219218340353e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 8.626741662660085085455369165422
y[1] (numeric) = 8.626741662660085085391828176189
absolute error = 6.35409892330e-20
relative error = 7.3655838690557148554109176951766e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 8.644041366354525852877974345322
y[1] (numeric) = 8.6440413663545258528139943274654
absolute error = 6.39800178566e-20
relative error = 7.4016325402642606825041708381538e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 8.661375646225957428429182313152
y[1] (numeric) = 8.6613756462259574283647623892062
absolute error = 6.44199239458e-20
relative error = 7.4376088253220898388648445820397e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 8.678744571611522410211538832486
y[1] (numeric) = 8.678744571611522410146678123226
absolute error = 6.48607092600e-20
relative error = 7.4735128709930757330020465522401e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 8.6961482119869454990552395952375
y[1] (numeric) = 8.6961482119869454989899372196748
absolute error = 6.53023755627e-20
relative error = 7.5093448238020935364776480749922e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 8.713586636966811401509567854393
y[1] (numeric) = 8.713586636966811401443822929773
absolute error = 6.57449246200e-20
relative error = 7.5451048298620837428607658019345e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 8.7310599163048432882745400797985
y[1] (numeric) = 8.7310599163048432882083517215956
absolute error = 6.61883582029e-20
relative error = 7.5807930351384208876204066031846e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 8.748568119894181809186593734851
y[1] (numeric) = 8.7485681198941818091199610567666
absolute error = 6.66326780844e-20
relative error = 7.6164095851157360231871673876805e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 8.7661113177676646658743774888755
y[1] (numeric) = 8.7661113177676646658072996028339
absolute error = 6.70778860416e-20
relative error = 7.6519546250391135444308722344949e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 8.783689580098106743202934861106
y[1] (numeric) = 8.7836895800981067431354108772497
absolute error = 6.75239838563e-20
relative error = 7.6874282999816361276604594586988e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 8.801302977198580800626807446512
y[1] (numeric) = 8.8013029771985808005588364731998
absolute error = 6.79709733122e-20
relative error = 7.7228307545248131372970380999369e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 8.818951579522698724574823510147
y[1] (numeric) = 8.8189515795226987245064046539491
absolute error = 6.84188561979e-20
relative error = 7.7581621331005176786654026435475e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 8.8366354576648933429915818641655
y[1] (numeric) = 8.8366354576648933429227142298617
absolute error = 6.88676343038e-20
relative error = 7.7934225796385260127720195482617e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 8.8543546823607008031628895692095
y[1] (numeric) = 8.8543546823607008030935722597836
absolute error = 6.93173094259e-20
relative error = 7.8286122379975622121914285569010e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=4.3MB, time=1.22
x[1] = 0.285
y[1] (analytic) = 8.8721093244870435139546651384055
y[1] (numeric) = 8.8721093244870435138848972550426
absolute error = 6.97678833629e-20
relative error = 7.8637312516360084359131913431716e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 8.889899455062513653597076576851
y[1] (numeric) = 8.8898994550625136535268572189343
absolute error = 7.02193579167e-20
relative error = 7.8987797636690164813584381213051e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 8.907725145247657244147945771151
y[1] (numeric) = 8.9077251452476572440772740362574
absolute error = 7.06717348936e-20
relative error = 7.9337579170035277708984541912272e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 8.925586466345258793771717461384
y[1] (numeric) = 8.9255864663452587937005924452814
absolute error = 7.11250161026e-20
relative error = 7.9686658541467708682468791022300e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 8.943483489800626507972562290903
y[1] (numeric) = 8.9434834898006265079009830875458
absolute error = 7.15792033572e-20
relative error = 8.0035037174084039690662293039258e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 8.961416287201878070922459246659
y[1] (numeric) = 8.9614162872018780708504249481848
absolute error = 7.20342984742e-20
relative error = 8.0382716487654725581655740916658e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 8.9793849302802269980273831834225
y[1] (numeric) = 8.9793849302802269979548928801488
absolute error = 7.24903032737e-20
relative error = 8.0729697898626265831128638014296e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 8.9973894909102695608770080784565
y[1] (numeric) = 8.9973894909102695608040608588767
absolute error = 7.29472195798e-20
relative error = 8.1075982820901421343264112987484e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 9.0154300411102722857256261980185
y[1] (numeric) = 9.0154300411102722856522211487982
absolute error = 7.34050492203e-20
relative error = 8.1421572665500922062426555570297e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 9.033506653042460026654277482701
y[1] (numeric) = 9.0335066530424600265804136886744
absolute error = 7.38637940266e-20
relative error = 8.1766468840450655674477900437770e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 9.0516193990133046145663821842255
y[1] (numeric) = 9.0516193990133046144920587283919
absolute error = 7.43234558336e-20
relative error = 8.2110672750670252650916392321728e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 9.0697683514738140831714731210855
y[1] (numeric) = 9.0697683514738140830966890846063
absolute error = 7.47840364792e-20
relative error = 8.2454185797422032256791006925796e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 9.0879535830198224731139318736055
y[1] (numeric) = 9.0879535830198224730386863357984
absolute error = 7.52455378071e-20
relative error = 8.2797009381397800929725905817388e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 9.1061751663922802154059458197565
y[1] (numeric) = 9.106175166392280215330237858094
absolute error = 7.57079616625e-20
relative error = 8.3139144897971772480480911023359e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 9.124433174477545095326220130748
y[1] (numeric) = 9.1244331744775450952500488208532
absolute error = 7.61713098948e-20
relative error = 8.3480593740182095820394605646252e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 9.142727680307673797948300709187
y[1] (numeric) = 9.1427276803076737978716651248289
absolute error = 7.66355843581e-20
relative error = 8.3821357299270491303810979311437e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 9.1610587570607140364646905718235
y[1] (numeric) = 9.1610587570607140363875897849142
absolute error = 7.71007869093e-20
relative error = 8.4161436962595634561252297371568e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 9.1794264780609972644752733628565
y[1] (numeric) = 9.179426478060997264397706443448
absolute error = 7.75669194085e-20
relative error = 8.4500834114077173642913340291297e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 9.197830916779431973410893541778
y[1] (numeric) = 9.1978309167794319733328595580564
absolute error = 7.80339837216e-20
relative error = 8.4839550137026387364980028222167e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 9.2162721468337975762652833311295
y[1] (numeric) = 9.2162721468337975761867813494141
absolute error = 7.85019817154e-20
relative error = 8.5177586408805156707034974900282e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 9.2347502419890388788108717437415
y[1] (numeric) = 9.2347502419890388787319008284781
absolute error = 7.89709152634e-20
relative error = 8.5514944307135636302142243380205e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 9.2532652761575611394763609452985
y[1] (numeric) = 9.2532652761575611393969201590587
absolute error = 7.94407862398e-20
relative error = 8.5851625203582147914098786132887e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 9.271817323399525719066309855971
y[1] (numeric) = 9.2718173233995257189863982594458
absolute error = 7.99115965252e-20
relative error = 8.6187630469730062968148461168059e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 9.2904064579231463215053242636275
y[1] (numeric) = 9.2904064579231463214249409156254
absolute error = 8.03833480021e-20
relative error = 8.6522961472311678687094129003597e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 9.309032754084985826791816820392
y[1] (numeric) = 9.3090327540849858267109607778338
absolute error = 8.08560425582e-20
relative error = 8.6857619576769439884076183429851e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 9.327696286390253717348669133351
y[1] (numeric) = 9.3276962863902537172673394512673
absolute error = 8.13296820837e-20
relative error = 8.7191606144344090362524552127041e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 9.346397129493104098960501748637
y[1] (numeric) = 9.3463971294931040988786974801637
absolute error = 8.18042684733e-20
relative error = 8.7524922534226407782802931219106e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 9.3651353581969343174896361753235
y[1] (numeric) = 9.3651353581969343174073563716975
absolute error = 8.22798036260e-20
relative error = 8.7857570103334093144604609605381e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 9.383911047454684172565216211135
y[1] (numeric) = 9.383911047454684172482459921692
absolute error = 8.27562894430e-20
relative error = 8.8189550204066593102325406842102e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
memory used=30.5MB, alloc=4.3MB, time=1.40
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 9.402724272369135729442343725416
y[1] (numeric) = 9.4027242723691357293591099975858
absolute error = 8.32337278302e-20
relative error = 8.8520864186979084717275737468698e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 9.4215751081932137302304767356435
y[1] (numeric) = 9.4215751081932137301467646149453
absolute error = 8.37121206982e-20
relative error = 8.8851513400771019747329263623286e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 9.440463630330286605692735091625
y[1] (numeric) = 9.4404636303302866056085436216649
absolute error = 8.41914699601e-20
relative error = 8.9181499189944397396292268839831e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 9.459389914334468088820161365959
y[1] (numeric) = 9.4593899143344680887354895884254
absolute error = 8.46717775336e-20
relative error = 8.9510822897035882364718481017119e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 9.4783540359109194313873916499465
y[1] (numeric) = 9.478354035910919431302238604607
absolute error = 8.51530453395e-20
relative error = 8.9839485861024125231817244744700e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 9.4973560709161522246986028805975
y[1] (numeric) = 9.4973560709161522246129676052947
absolute error = 8.56352753028e-20
relative error = 9.0167489418493799187815348624690e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 9.5163960953583318257350200862795
y[1] (numeric) = 9.5163960953583318256489016169268
absolute error = 8.61184693527e-20
relative error = 9.0494834903629851547219892680590e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 9.5354741853975813899176885456055
y[1] (numeric) = 9.5354741853975813898310859161832
absolute error = 8.66026294223e-20
relative error = 9.0821523647897228552313132920175e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 9.554590417346286511701642316028
y[1] (numeric) = 9.5545904173462865116145545585805
absolute error = 8.70877574475e-20
relative error = 9.1147556978887170485358805107951e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 9.573744867669400474220031915003
y[1] (numeric) = 9.5737448676694004741324580596336
absolute error = 8.75738553694e-20
relative error = 9.1472936222833226783349239532249e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 9.5929376129847501091992101372285
y[1] (numeric) = 9.5929376129847501091111492120962
absolute error = 8.80609251323e-20
relative error = 9.1797662702510468659709089790491e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 9.612168730063342268368216076119
y[1] (numeric) = 9.6121687300633422682796671074348
absolute error = 8.85489686842e-20
relative error = 9.2121737737760747793871523122784e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 9.63143829582967090758854339608
y[1] (numeric) = 9.6314382958296709074995054081025
absolute error = 8.90379879775e-20
relative error = 9.2445162646219386697025052304830e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 9.6507463873620247849325297840985
y[1] (numeric) = 9.6507463873620247848430017991302
absolute error = 8.95279849683e-20
relative error = 9.2767938742582533365673705261076e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 9.670093081892795773941160304474
y[1] (numeric) = 9.6700930818927957738511413428575
absolute error = 9.00189616165e-20
relative error = 9.3090067338710612901917435991113e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 9.689478456808787793294538098987
y[1] (numeric) = 9.6894784568087877932040271791013
absolute error = 9.05109198857e-20
relative error = 9.3411549743524181154824387298970e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 9.708902589651526354130741526295
y[1] (numeric) = 9.7089025896515263540397376645508
absolute error = 9.10038617442e-20
relative error = 9.3732387264034056677658684494481e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 9.7283655581175687262512574287115
y[1] (numeric) = 9.7283655581175687261597596395478
absolute error = 9.14977891637e-20
relative error = 9.4052581203994920626234485642311e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 9.7478674400588147244536557616595
y[1] (numeric) = 9.7478674400588147243616630575397
absolute error = 9.19927041198e-20
relative error = 9.4372132864421628717744981016411e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 9.7674083134828181162346513308785
y[1] (numeric) = 9.7674083134828181161421627222861
absolute error = 9.24886085924e-20
relative error = 9.4691043543997017372544238959440e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 9.786988256553098652109183864841
y[1] (numeric) = 9.786988256553098652016198360276
absolute error = 9.29855045650e-20
relative error = 9.5009314538350915968547844747474e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 9.806607347589454719793638114741
y[1] (numeric) = 9.8066073475894547197001547207165
absolute error = 9.34833940245e-20
relative error = 9.5326947139857692222628380077511e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 9.826265665068276623503821131809
y[1] (numeric) = 9.8262656650682766234098388528455
absolute error = 9.39822789635e-20
relative error = 9.5643942639980490954693619904300e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 9.8459632876228604896208143315605
y[1] (numeric) = 9.8459632876228604895263321701836
absolute error = 9.44821613769e-20
relative error = 9.5960302325798233408463850194238e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 9.865700294043722799980323426939
y[1] (numeric) = 9.8657002940437227998853403836744
absolute error = 9.49830432646e-20
relative error = 9.6276027482757276480820620643179e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 9.8854767632789155540436598071195
y[1] (numeric) = 9.8854767632789155539481748804899
absolute error = 9.54849266296e-20
relative error = 9.6591119392736893778370160744611e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 9.9052927744343420612110024661245
y[1] (numeric) = 9.9052927744343420611150146526443
absolute error = 9.59878134802e-20
relative error = 9.6905579336277156155489024186114e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 9.9251484067740733645401101553465
y[1] (numeric) = 9.9251484067740733644436184495189
absolute error = 9.64917058276e-20
relative error = 9.7219408590145472661462026188191e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=4.3MB, time=1.58
x[1] = 0.342
y[1] (analytic) = 9.9450437397206652971361790567325
y[1] (numeric) = 9.9450437397206652970391824510457
absolute error = 9.69966056868e-20
relative error = 9.7532608428250537005163414389116e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 9.9649788528554761724810719588015
y[1] (numeric) = 9.964978852855476172383569443723
absolute error = 9.75025150785e-20
relative error = 9.7845180123548924498227857007219e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 9.9849538259189851099726806759905
y[1] (numeric) = 9.9849538259189851098746712399652
absolute error = 9.80094360253e-20
relative error = 9.8157124944220266711001398209526e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 10.004968738811110996947724293228
y[1] (numeric) = 10.004968738811110996849206922672
absolute error = 9.8517370556e-20
relative error = 9.8468444157984250774090332430725e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 10.025023671591532088463831752194
y[1] (numeric) = 10.025023671591532088364805431493
absolute error = 9.9026320701e-20
relative error = 9.8779139027488184530832388462877e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 10.045118704480006246119308333745
y[1] (numeric) = 10.045118704480006246019772045249
absolute error = 9.9536288496e-20
relative error = 9.9089210814012552846208860657092e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 10.065253917856691817191541742545
y[1] (numeric) = 10.065253917856691817091494466562
absolute error = 1.00047275983e-19
relative error = 9.9398660778449786292788685486416e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 10.085429392262469155377564775366
y[1] (numeric) = 10.085429392262469155277005490162
absolute error = 1.00559285204e-19
relative error = 9.9707490175033080958278967941595e-19 %
Correct digits = 20
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 10.105645208399262784422857964014
y[1] (numeric) = 10.105645208399262784321785645806
absolute error = 1.01072318208e-19
relative error = 1.0001570025830135526254749219831e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 10.125901447130364205927047137625
y[1] (numeric) = 10.125901447130364205825460760578
absolute error = 1.01586377047e-19
relative error = 1.0032329227911765924834264953775e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 10.14619818948075535261772755755
y[1] (numeric) = 10.146198189480755352515626093773
absolute error = 1.02101463777e-19
relative error = 1.0063026748566319181634051441013e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 10.16653551663743268838622815138
y[1] (numeric) = 10.166535516637432688283610570923
absolute error = 1.02617580457e-19
relative error = 1.0093662712245225135518987443500e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 10.186913509949731956381716421321
y[1] (numeric) = 10.186913509949731956278581692167
absolute error = 1.03134729154e-19
relative error = 1.0124237243524896246945691461990e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 10.207332250929653576462636836306
y[1] (numeric) = 10.207332250929653576358983924371
absolute error = 1.03652911935e-19
relative error = 1.0154750466318915004544991810213e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 10.227791821252188693307072947502
y[1] (numeric) = 10.227791821252188693202900816628
absolute error = 1.04172130874e-19
relative error = 1.0185202504566250018250690274976e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 10.248292302755645876486226103345
y[1] (numeric) = 10.248292302755645876381533715299
absolute error = 1.04692388046e-19
relative error = 1.0215593481642735926496907667910e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 10.268833777441978473807811493666
y[1] (numeric) = 10.268833777441978473702597808133
absolute error = 1.05213685533e-19
relative error = 1.0245923520948188229637925462614e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 10.28941632747711261923878533292
y[1] (numeric) = 10.289416327477112619133049307499
absolute error = 1.05736025421e-19
relative error = 1.0276192745611808381377252560258e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 10.310040035191275896719435310796
y[1] (numeric) = 10.310040035191275896613175900998
absolute error = 1.06259409798e-19
relative error = 1.0306401278298104480012641939624e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.361
y[1] (analytic) = 10.330704983079326661183490004785
y[1] (numeric) = 10.330704983079326661076706164028
absolute error = 1.06783840757e-19
relative error = 1.0336549241499140006998410780103e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 10.351411253801084018101531774236
y[1] (numeric) = 10.351411253801084017994222453838
absolute error = 1.07309320398e-19
relative error = 1.0366636757726686078551966767994e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 10.372158930181658462867631749517
y[1] (numeric) = 10.372158930181658462759795898694
absolute error = 1.07835850823e-19
relative error = 1.0396663949027182714801343664004e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 10.392948095211783181351764903684
y[1] (numeric) = 10.392948095211783181243401469548
absolute error = 1.08363434136e-19
relative error = 1.0426630936983604258959293774660e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 10.413778832048146012943207858052
y[1] (numeric) = 10.413778832048146012834315785605
absolute error = 1.08892072447e-19
relative error = 1.0456537843101425240030956709063e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 10.434651224013722077412772037872
y[1] (numeric) = 10.434651224013722077303350269999
absolute error = 1.09421767873e-19
relative error = 1.0486384788902466627968107464577e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 10.455565354598107066924380070545
y[1] (numeric) = 10.455565354598107066814427548013
absolute error = 1.09952522532e-19
relative error = 1.0516171895348109099715808987830e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 10.47652130745785120452915391708
y[1] (numeric) = 10.476521307457851204418669578535
absolute error = 1.10484338545e-19
relative error = 1.0545899283033028561607466712763e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 10.497519166416793870477849158421
y[1] (numeric) = 10.497519166416793870366831940379
absolute error = 1.11017218042e-19
relative error = 1.0575567072757671063941283294203e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 10.518559015466398897690141132539
y[1] (numeric) = 10.518559015466398897578589969386
absolute error = 1.11551163153e-19
relative error = 1.0605175384667816867382980761924e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=38.1MB, alloc=4.3MB, time=1.75
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 10.539640938766090537721945246515
y[1] (numeric) = 10.539640938766090537609859070501
absolute error = 1.12086176014e-19
relative error = 1.0634724338827645772759898380429e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 10.560765020643590098574635780828
y[1] (numeric) = 10.560765020643590098462013522063
absolute error = 1.12622258765e-19
relative error = 1.0664214055028431777862171885429e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 10.581931345595253255692714871592
y[1] (numeric) = 10.58193134559525325557955545804
absolute error = 1.13159413552e-19
relative error = 1.0693644652977530086696487926552e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 10.603139998286408037499176111146
y[1] (numeric) = 10.603139998286408037385478468625
absolute error = 1.13697642521e-19
relative error = 1.0723016251730607580653587563592e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 10.624391063551693486820505359126
y[1] (numeric) = 10.6243910635516934867062684113
absolute error = 1.14236947826e-19
relative error = 1.0752328970448403583848030434679e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 10.645684626395398999555964915543
y[1] (numeric) = 10.645684626395398999441187583919
absolute error = 1.14777331624e-19
relative error = 1.0781582927923284217030445631186e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 10.667020771991804341948516185473
y[1] (numeric) = 10.667020771991804341833197389396
absolute error = 1.15318796077e-19
relative error = 1.0810778242767689385141486537793e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 10.688399585685520347817450372399
y[1] (numeric) = 10.688399585685520347701589029048
absolute error = 1.15861343351e-19
relative error = 1.0839915033319650883546856447698e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 10.709821152991830297115516584993
y[1] (numeric) = 10.709821152991830296999111609377
absolute error = 1.16404975616e-19
relative error = 1.0868993417642816210235882336457e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 10.731285559597031977176062041024
y[1] (numeric) = 10.731285559597031977059112345977
absolute error = 1.16949695047e-19
relative error = 1.0898013513619662820555105291449e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 10.752792891358780428018429813026
y[1] (numeric) = 10.752792891358780427900934309205
absolute error = 1.17495503821e-19
relative error = 1.0926975438671602614350635924315e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 10.774343234306431373082595794326
y[1] (numeric) = 10.774343234306431372964553390202
absolute error = 1.18042404124e-19
relative error = 1.0955879310410575960270515775977e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 10.795936674641385336766768281866
y[1] (numeric) = 10.795936674641385336648177883725
absolute error = 1.18590398141e-19
relative error = 1.0984725245708175992492028587430e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 10.817573298737432450144420785068
y[1] (numeric) = 10.817573298737432450025281297002
absolute error = 1.19139488066e-19
relative error = 1.1013513361624765193898733606376e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 10.839253193141097946239981388583
y[1] (numeric) = 10.839253193141097946120291712489
absolute error = 1.19689676094e-19
relative error = 1.1042243774666844068573026502741e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 10.860976444571988346245160232374
y[1] (numeric) = 10.860976444571988346124919267948
absolute error = 1.20240964426e-19
relative error = 1.1070916601250255388348099100415e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 10.882743139923138338060660435998
y[1] (numeric) = 10.88274313992313833793986708073
absolute error = 1.20793355268e-19
relative error = 1.1099531957606520195147273156749e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 10.90455336626135834855078709645
y[1] (numeric) = 10.904553366261358348429440245621
absolute error = 1.21346850829e-19
relative error = 1.1128089959598587449898378358129e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 10.926407210827582810901243841432
y[1] (numeric) = 10.926407210827582810779342388109
absolute error = 1.21901453323e-19
relative error = 1.1156590722904880394757284452315e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 10.948304761037219128473186833587
y[1] (numeric) = 10.94830476103721912835072966862
absolute error = 1.22457164967e-19
relative error = 1.1185034362835791977555145555168e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 10.970246104480497336549392107205
y[1] (numeric) = 10.970246104480497336426378119219
absolute error = 1.23013987986e-19
relative error = 1.1213420994790472120696932660037e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 10.992231328922820463371183688275
y[1] (numeric) = 10.992231328922820463247611763669
absolute error = 1.23571924606e-19
relative error = 1.1241750733616464369489723878030e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 11.014260522305115591867567112756
y[1] (numeric) = 11.014260522305115591743436135697
absolute error = 1.24130977059e-19
relative error = 1.1270023694066507577223203113038e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 11.03633377274418562348081572768
y[1] (numeric) = 11.036333772744185623356124580098
absolute error = 1.24691147582e-19
relative error = 1.1298239990706219122155814284118e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 11.058451168533061745495565546441
y[1] (numeric) = 11.058451168533061745370313108026
absolute error = 1.25252438415e-19
relative error = 1.1326399737732452189422538056601e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 11.080612798141356603281288444622
y[1] (numeric) = 11.080612798141356603155473592819
absolute error = 1.25814851803e-19
relative error = 1.1354503049154824010756344592795e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 11.102818750215618178860833137137
y[1] (numeric) = 11.102818750215618178734454747141
absolute error = 1.26378389996e-19
relative error = 1.1382550038794942526630251342100e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 11.125069113579684377220548682694
y[1] (numeric) = 11.125069113579684377093605627446
absolute error = 1.26943055248e-19
relative error = 1.1410540820195755645989682097860e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 11.147363977235038321780336228856
y[1] (numeric) = 11.147363977235038321652827379038
absolute error = 1.27508849818e-19
relative error = 1.1438475506711403392545479693929e-18 %
Correct digits = 19
h = 0.001
memory used=41.9MB, alloc=4.3MB, time=1.94
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 11.169703430361164360444811351631
y[1] (numeric) = 11.169703430361164360316735575663
absolute error = 1.28075775968e-19
relative error = 1.1466354211327414045283408678726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 11.192087562315904783659601668924
y[1] (numeric) = 11.192087562315904783530957832956
absolute error = 1.28643835968e-19
relative error = 1.1494177047108500319163963851951e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 11.214516462635817255899652428645
y[1] (numeric) = 11.214516462635817255770439396557
absolute error = 1.29213032088e-19
relative error = 1.1521944126481781529250853922770e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 11.236990221036532962019266501304
y[1] (numeric) = 11.236990221036532961889483134698
absolute error = 1.29783366606e-19
relative error = 1.1549655561952460372441893990811e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 11.259508927413115469896464654744
y[1] (numeric) = 11.25950892741311546976610981294
absolute error = 1.30354841804e-19
relative error = 1.1577311465745173304900649400201e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 11.282072671840420310807117166964
y[1] (numeric) = 11.282072671840420310676189706998
absolute error = 1.30927459966e-19
relative error = 1.1604911949626901697911012439627e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 11.304681544573455278967168752992
y[1] (numeric) = 11.304681544573455278835667529609
absolute error = 1.31501223383e-19
relative error = 1.1632457125351226616924511433242e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 11.327335636047741451684155455099
y[1] (numeric) = 11.327335636047741451552079320748
absolute error = 1.32076134351e-19
relative error = 1.1659947104479295328498703755004e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 11.350035036879674931562094583788
y[1] (numeric) = 11.35003503687967493142944238862
absolute error = 1.32652195168e-19
relative error = 1.1687381998114820888969482180603e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 11.372779837866889312206717011448
y[1] (numeric) = 11.372779837866889312073487603308
absolute error = 1.33229408140e-19
relative error = 1.1714761917433625783705613360086e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 11.395570129988618868880905122875
y[1] (numeric) = 11.395570129988618868747097347299
absolute error = 1.33807775576e-19
relative error = 1.1742086973241560686306291732863e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 11.418406004406062475563099528672
y[1] (numeric) = 11.418406004406062475428712228885
absolute error = 1.34387299787e-19
relative error = 1.1769357275888024698474921327841e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 11.441287552462748249864343260392
y[1] (numeric) = 11.441287552462748249729375277298
absolute error = 1.34967983094e-19
relative error = 1.1796572935967159626850721026983e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 11.464214865684898927262543601765
y[1] (numeric) = 11.464214865684898927126993773946
absolute error = 1.35549827819e-19
relative error = 1.1823734063527771923319777507299e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 11.487188035781797966115448980247
y[1] (numeric) = 11.487188035781797965979316143959
absolute error = 1.36132836288e-19
relative error = 1.1850840768337352004576619914207e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 11.510207154646156384916761458932
y[1] (numeric) = 11.510207154646156384780044448099
absolute error = 1.36717010833e-19
relative error = 1.1877893160056068222459955481151e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 11.533272314354480333262734342386
y[1] (numeric) = 11.533272314354480333125431988594
absolute error = 1.37302353792e-19
relative error = 1.1904891348235268083640682465881e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 11.556383607167439397999539252895
y[1] (numeric) = 11.556383607167439397861650385388
absolute error = 1.37888867507e-19
relative error = 1.1931835442142928914330735725227e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 11.579541125530235646024627757669
y[1] (numeric) = 11.579541125530235645886151203346
absolute error = 1.38476554323e-19
relative error = 1.1958725550677558255315170148066e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 11.602744962072973405218259244507
y[1] (numeric) = 11.602744962072973405079193827917
absolute error = 1.39065416590e-19
relative error = 1.1985561782541693407883949265239e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 11.625995209611029784984319265072
y[1] (numeric) = 11.625995209611029784844663808407
absolute error = 1.39655456665e-19
relative error = 1.2012344246413330848462457663870e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 11.649291961145425937882511003078
y[1] (numeric) = 11.649291961145425937742264326172
absolute error = 1.40246676906e-19
relative error = 1.2039073050428562995684142896633e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 11.672635309863199063836966891176
y[1] (numeric) = 11.672635309863199063696127811497
absolute error = 1.40839079679e-19
relative error = 1.2065748302784129873010518721386e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 11.696025349137775158409297706983
y[1] (numeric) = 11.696025349137775158267865039628
absolute error = 1.41432667355e-19
relative error = 1.2092370111477771540895733831044e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 11.719462172529342506627072737448
y[1] (numeric) = 11.719462172529342506485045295141
absolute error = 1.42027442307e-19
relative error = 1.2118938584051682083645923045987e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 11.742945873785225923861706823481
y[1] (numeric) = 11.742945873785225923719083416567
absolute error = 1.42623406914e-19
relative error = 1.2145453827935145997009903901696e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 11.766476546840261745252718295363
y[1] (numeric) = 11.766476546840261745109497731802
absolute error = 1.43220563561e-19
relative error = 1.2171915950443131462509376337795e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 11.790054285817173565178315995966
y[1] (numeric) = 11.79005428581717356503449708133
absolute error = 1.43818914636e-19
relative error = 1.2198325058520445245153072478131e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=4.4MB, time=2.11
x[1] = 0.428
y[1] (analytic) = 11.813679185026948728275273775113
y[1] (numeric) = 11.813679185026948728130855312582
absolute error = 1.44418462531e-19
relative error = 1.2224681258827544535737621246715e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 11.837351338969215573514057036568
y[1] (numeric) = 11.837351338969215573369037826922
absolute error = 1.45019209646e-19
relative error = 1.2250984658078766140151231416290e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 11.861070842332621432838178141149
y[1] (numeric) = 11.861070842332621432692556982765
absolute error = 1.45621158384e-19
relative error = 1.2277235362617719401223903809604e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 11.884837789995211385879775727384
y[1] (numeric) = 11.884837789995211385733551416232
absolute error = 1.46224311152e-19
relative error = 1.2303433478502605326284591858576e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 11.908652277024807772266437317042
y[1] (numeric) = 11.908652277024807772119608646681
absolute error = 1.46828670361e-19
relative error = 1.2329579111506551431845180822794e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 11.93251439867939046303731493884
y[1] (numeric) = 11.932514398679390462889880700407
absolute error = 1.47434238433e-19
relative error = 1.2355672367704581924860446054005e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 11.956424250407477892689619941802
y[1] (numeric) = 11.956424250407477892541578924017
absolute error = 1.48041017785e-19
relative error = 1.2381713352129900002117035801541e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 11.980381927848508853379625692336
y[1] (numeric) = 11.980381927848508853230976681487
absolute error = 1.48649010849e-19
relative error = 1.2407702170451177041033458093832e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 12.004387526833225052805355468036
y[1] (numeric) = 12.004387526833225052656097247984
absolute error = 1.49258220052e-19
relative error = 1.2433638927297654165070952641216e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 12.028441143384054437301187589103
y[1] (numeric) = 12.028441143384054437151318941268
absolute error = 1.49868647835e-19
relative error = 1.2459523727846607182393483000912e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 12.052542873715495281677670676847
y[1] (numeric) = 12.052542873715495281527190380209
absolute error = 1.50480296638e-19
relative error = 1.2485356676570835228079820000520e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 12.076692814234501047342908910692
y[1] (numeric) = 12.076692814234501047191815741784
absolute error = 1.51093168908e-19
relative error = 1.2511137877905629492662161461810e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 12.100891061540866010244950282342
y[1] (numeric) = 12.100891061540866010093243015247
absolute error = 1.51707267095e-19
relative error = 1.2536867435916109064868327565324e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 12.125137712427611660177690130854
y[1] (numeric) = 12.125137712427611660025367537197
absolute error = 1.52322593657e-19
relative error = 1.2562545454710799995741394318292e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 12.14943286388137387299588769741
y[1] (numeric) = 12.149432863881373872842948546354
absolute error = 1.52939151056e-19
relative error = 1.2588172038109489000666359948254e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 12.173776613082790857287985076092
y[1] (numeric) = 12.173776613082790857134428134336
absolute error = 1.53556941756e-19
relative error = 1.2613747289479337273616358546726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 12.198169057406891877058515769216
y[1] (numeric) = 12.198169057406891876904339800986
absolute error = 1.54175968230e-19
relative error = 1.2639271312310783558529755781475e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 12.22261029442348675197499409512
y[1] (numeric) = 12.222610294423486751820197862167
absolute error = 1.54796232953e-19
relative error = 1.2664744209641136465580660803292e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 12.247100421897556136737286955331
y[1] (numeric) = 12.247100421897556136581869216924
absolute error = 1.55417738407e-19
relative error = 1.2690166084464888993717278730238e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 12.27163953778964258113058595895
y[1] (numeric) = 12.271639537789642580974545471873
absolute error = 1.56040487077e-19
relative error = 1.2715537039405728961784618859814e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 12.29622774025624237232622063757
y[1] (numeric) = 12.296227740256242372169556156115
absolute error = 1.56664481455e-19
relative error = 1.2740857177043083339271733903935e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 12.320865127650198160997682476422
y[1] (numeric) = 12.320865127650198160840392752387
absolute error = 1.57289724035e-19
relative error = 1.2766126599504288848623374243873e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 12.345551798521092372822364749369
y[1] (numeric) = 12.345551798521092372664448532048
absolute error = 1.57916217321e-19
relative error = 1.2791345409114659280551825862913e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 12.370287851615641406942664689222
y[1] (numeric) = 12.370287851615641406784120725405
absolute error = 1.58543963817e-19
relative error = 1.2816513707584671100549851328479e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 12.395073385878090622963242363425
y[1] (numeric) = 12.39507338587809062280406939739
absolute error = 1.59172966035e-19
relative error = 1.2841631596659069212233242556481e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 12.419908500450610118064384770759
y[1] (numeric) = 12.419908500450610117904581544269
absolute error = 1.59803226490e-19
relative error = 1.2866699177711505295263044502458e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 12.44479329467369129581458414025
y[1] (numeric) = 12.444793294673691295654149392546
absolute error = 1.60434747704e-19
relative error = 1.2891716552067221725825437452586e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 12.469727868086544228268606211332
y[1] (numeric) = 12.46972786808654422810753867913
absolute error = 1.61067532202e-19
relative error = 1.2916683820680322770212167835178e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 12.49471232042749581294049741737
y[1] (numeric) = 12.494712320427495812778795834855
absolute error = 1.61701582515e-19
relative error = 1.2941601084375147880450233787194e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=49.5MB, alloc=4.4MB, time=2.29
x[1] = 0.457
y[1] (analytic) = 12.519746751634388726244159395444
y[1] (numeric) = 12.519746751634388726081822494263
absolute error = 1.62336901181e-19
relative error = 1.2966468443925013911008088800050e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 12.544831261844981174997305116617
y[1] (numeric) = 12.544831261844981174834331625877
absolute error = 1.62973490740e-19
relative error = 1.2991285999651726036180778322223e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 12.569965951397347447587803185538
y[1] (numeric) = 12.5699659513973474474241918318
absolute error = 1.63611353738e-19
relative error = 1.3016053851745879261717292178001e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 12.595150920830279266404615508802
y[1] (numeric) = 12.595150920830279266240365016075
absolute error = 1.64250492727e-19
relative error = 1.3040772100265751901545422249512e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 12.62038627088368794313873859097
y[1] (numeric) = 12.620386270883687942973847680706
absolute error = 1.64890910264e-19
relative error = 1.3065440845056973636784790771373e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 12.64567210249900733856277019821
y[1] (numeric) = 12.6456721024990073383972375893
absolute error = 1.65532608910e-19
relative error = 1.3090060185673155603471202286831e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 12.671008516819597628400941045117
y[1] (numeric) = 12.671008516819597628234765453885
absolute error = 1.66175591232e-19
relative error = 1.3114630221534236728554593255325e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 12.696395615191149876904675523185
y[1] (numeric) = 12.696395615191149876737855663383
absolute error = 1.66819859802e-19
relative error = 1.3139151051846650644385073755933e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 12.721833499162091419751976312604
y[1] (numeric) = 12.721833499162091419584510895408
absolute error = 1.67465417196e-19
relative error = 1.3163622775524448773108077533559e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 12.747322270483992057892165015442
y[1] (numeric) = 12.747322270483992057724052749444
absolute error = 1.68112265998e-19
relative error = 1.3188045491503612132573131998760e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 12.772862031111971063960754730752
y[1] (numeric) = 12.772862031111971063791994321957
absolute error = 1.68760408795e-19
relative error = 1.3212419298347981298543814830981e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 12.798452883205105002892480773782
y[1] (numeric) = 12.798452883205105002723070925602
absolute error = 1.69409848180e-19
relative error = 1.3236744294484978768757063529080e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 12.824094929126836368363772535161
y[1] (numeric) = 12.824094929126836368193711948412
absolute error = 1.70060586749e-19
relative error = 1.3261020577970646766497664568173e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 12.849788271445383036699212794812
y[1] (numeric) = 12.849788271445383036528500167706
absolute error = 1.70712627106e-19
relative error = 1.3285248246880080892229485396462e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 12.875533012934148539879800662348
y[1] (numeric) = 12.875533012934148539708434690489
absolute error = 1.71365971859e-19
relative error = 1.3309427398994192243588133810228e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 12.901329256572133159294110724048
y[1] (numeric) = 12.901329256572133159122090100427
absolute error = 1.72020623621e-19
relative error = 1.3333558131877773793743807094818e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 12.927177105544345841876723949177
y[1] (numeric) = 12.927177105544345841704047364165
absolute error = 1.72676585012e-19
relative error = 1.3357640543033994730214187784845e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 12.953076663242216940281595458576
y[1] (numeric) = 12.953076663242216940108261599921
absolute error = 1.73333858655e-19
relative error = 1.3381674729593834388869642650046e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 12.979028033264011778741320399336
y[1] (numeric) = 12.979028033264011778567327952158
absolute error = 1.73992447178e-19
relative error = 1.3405660788471520489089990870215e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.476
y[1] (analytic) = 13.005031319415245046266561914032
y[1] (numeric) = 13.005031319415245046091909560815
absolute error = 1.74652353217e-19
relative error = 1.3429598816595008741175153833297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 13.031086625709096018843214554743
y[1] (numeric) = 13.031086625709096018667900975332
absolute error = 1.75313579411e-19
relative error = 1.3453488910519784421584956265688e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 13.05719405636682461228819248416
y[1] (numeric) = 13.057194056366824612112216355755
absolute error = 1.75976128405e-19
relative error = 1.3477331166659975940248090729687e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 13.083353715818188267428054441656
y[1] (numeric) = 13.083353715818188267251414438807
absolute error = 1.76640002849e-19
relative error = 1.3501125681210976674306139839641e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 13.109565708701859669268006744677
y[1] (numeric) = 13.109565708701859669090701539278
absolute error = 1.77305205399e-19
relative error = 1.3524872550225554537111958869544e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 13.135830139865845301822161558412
y[1] (numeric) = 13.135830139865845301644189819698
absolute error = 1.77971738714e-19
relative error = 1.3548571869384541582529784107643e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 13.162147114367904840279270312866
y[1] (numeric) = 13.162147114367904840100630707403
absolute error = 1.78639605463e-19
relative error = 1.3572223734530028228547363151798e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 13.188516737475971382181501489436
y[1] (numeric) = 13.18851673747597138200219268112
absolute error = 1.79308808316e-19
relative error = 1.3595828240978997276017858425659e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 13.214939114668572519297188052435
y[1] (numeric) = 13.214939114668572519117208702486
absolute error = 1.79979349949e-19
relative error = 1.3619385483904580109724625271783e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 13.241414351635252251871832577962
y[1] (numeric) = 13.241414351635252251691181344916
absolute error = 1.80651233046e-19
relative error = 1.3642895558486199347423428340876e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=53.4MB, alloc=4.4MB, time=2.47
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 13.267942554276993746945027646701
y[1] (numeric) = 13.267942554276993746763703186409
absolute error = 1.81324460292e-19
relative error = 1.3666358559379582925464571560069e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 13.294523828706642942424325332012
y[1] (numeric) = 13.294523828706642942242326297629
absolute error = 1.81999034383e-19
relative error = 1.3689774581471848516109410227908e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 13.32115828124933299861047264358
y[1] (numeric) = 13.321158281249332998427797685566
absolute error = 1.82674958014e-19
relative error = 1.3713143718976043653554973809245e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 13.347846018442909598871819593528
y[1] (numeric) = 13.347846018442909598688467359637
absolute error = 1.83352233891e-19
relative error = 1.3736466066334567999257795670166e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 13.374587147038357101169103149662
y[1] (numeric) = 13.374587147038357100985072284939
absolute error = 1.84030864723e-19
relative error = 1.3759741717616415647471100066456e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 13.401381774000225542135213743209
y[1] (numeric) = 13.401381774000225541950502889984
absolute error = 1.84710853225e-19
relative error = 1.3782970766742436313145486568355e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 13.428230006507058495417961219442
y[1] (numeric) = 13.428230006507058495232569017328
absolute error = 1.85392202114e-19
relative error = 1.3806153307186617509040918968129e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 13.455131951951821785997274172745
y[1] (numeric) = 13.455131951951821785811199258626
absolute error = 1.86074914119e-19
relative error = 1.3829289432721445113762143255058e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 13.482087717942333062191690506508
y[1] (numeric) = 13.48208771794233306200493151454
absolute error = 1.86758991968e-19
relative error = 1.3852379236448372757273688141703e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 13.50909741230169222707242781662
y[1] (numeric) = 13.509097412301692226884983378219
absolute error = 1.87444438401e-19
relative error = 1.3875422811764523886634565664653e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 13.536161143068712731006759828698
y[1] (numeric) = 13.536161143068712730818628572542
absolute error = 1.88131256156e-19
relative error = 1.3898420251323170997200644630146e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 13.563279018498353727055869637668
y[1] (numeric) = 13.563279018498353726867050189687
absolute error = 1.88819447981e-19
relative error = 1.3921371647923598924043557611869e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 13.590451147062153090955801917272
y[1] (numeric) = 13.590451147062153090766292900644
absolute error = 1.89509016628e-19
relative error = 1.3944277094065869282025801374900e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 13.617677637448661307413594600706
y[1] (numeric) = 13.617677637448661307223394635847
absolute error = 1.90199964859e-19
relative error = 1.3967136682392115741288022174809e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 13.644958598563876224454135795397
y[1] (numeric) = 13.644958598563876224263243499962
absolute error = 1.90892295435e-19
relative error = 1.3989950504876672952218649946975e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 13.672294139531678677556763899056
y[1] (numeric) = 13.67229413953167867736517788793
absolute error = 1.91586011126e-19
relative error = 1.4012718653561856074203878356955e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 13.699684369694268985324108044206
y[1] (numeric) = 13.699684369694268985131826929501
absolute error = 1.92281114705e-19
relative error = 1.4035441220117034687978743559223e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 13.727129398612604318429152128568
y[1] (numeric) = 13.727129398612604318236174519613
absolute error = 1.92977608955e-19
relative error = 1.4058118296350012743040663159320e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 13.754629336066836943589998802696
y[1] (numeric) = 13.754629336066836943396323306035
absolute error = 1.93675496661e-19
relative error = 1.4080749973621745419044141828437e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 13.782184292056753344325309898263
y[1] (numeric) = 13.782184292056753344130935117647
absolute error = 1.94374780616e-19
relative error = 1.4103336343283863882348813528145e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 13.809794376802214220246906904239
y[1] (numeric) = 13.809794376802214220051831440624
absolute error = 1.95075463615e-19
relative error = 1.4125877496242020815954897723935e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 13.837459700743595366649529248041
y[1] (numeric) = 13.83745970074359536645375169958
absolute error = 1.95777548461e-19
relative error = 1.4148373523391676797611853143440e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 13.865180374542229436161269328518
y[1] (numeric) = 13.865180374542229435964788290554
absolute error = 1.96481037964e-19
relative error = 1.4170824515543815009946468122283e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 13.892956509080848584221731491526
y[1] (numeric) = 13.892956509080848584024545556591
absolute error = 1.97185934935e-19
relative error = 1.4193230562991644171384594707408e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 13.920788215464028000158497450939
y[1] (numeric) = 13.920788215464027999960605208743
absolute error = 1.97892242196e-19
relative error = 1.4215591756231855538381675572476e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 13.948675605018630325636023052308
y[1] (numeric) = 13.948675605018630325437423089736
absolute error = 1.98599962572e-19
relative error = 1.4237908185386804909793473238585e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 13.976618789294250962254640767332
y[1] (numeric) = 13.976618789294250962055331668439
absolute error = 1.99309098893e-19
relative error = 1.4260179940349085550968013584169e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 14.004617880063664270080898908891
y[1] (numeric) = 14.004617880063664269880879254895
absolute error = 2.00019653996e-19
relative error = 1.4282407110924380392754047720257e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 14.03267298932327065889403228292
y[1] (numeric) = 14.032672989323270658693300652197
absolute error = 2.00731630723e-19
relative error = 1.4304589786687556496756661426656e-18 %
memory used=57.2MB, alloc=4.4MB, time=2.65
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 14.06078422929354457393692985914
y[1] (numeric) = 14.060784229293544573735484827218
absolute error = 2.01445031922e-19
relative error = 1.4326728057053841496409600523107e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 14.088951712419483377963543061825
y[1] (numeric) = 14.088951712419483377761383201377
absolute error = 2.02159860448e-19
relative error = 1.4348822011349151231506585620763e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 14.117175551371057131378263468746
y[1] (numeric) = 14.117175551371057131175387349587
absolute error = 2.02876119159e-19
relative error = 1.4370871738525396025040746380925e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 14.145455859043659272266391075516
y[1] (numeric) = 14.145455859043659272062797264597
absolute error = 2.03593810919e-19
relative error = 1.4392877327374057125469087996481e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 14.173792748558558198118413848112
y[1] (numeric) = 14.173792748558558197914100909513
absolute error = 2.04312938599e-19
relative error = 1.4414838866596109309535305352141e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 14.202186333263349751054426062802
y[1] (numeric) = 14.202186333263349750849392557724
absolute error = 2.05033505078e-19
relative error = 1.4436756444871105591923077981936e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 14.230636726732410608358626934456
y[1] (numeric) = 14.230636726732410608152871421219
absolute error = 2.05755513237e-19
relative error = 1.4458630150433533447186992024764e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 14.259144042767352580137462275776
y[1] (numeric) = 14.259144042767352579930983309813
absolute error = 2.06478965963e-19
relative error = 1.4480460071355549716430013592823e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 14.287708395397477815918600425724
y[1] (numeric) = 14.287708395397477815711396559573
absolute error = 2.07203866151e-19
relative error = 1.4502246295686361452821138116688e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 14.316329898880234922011569449996
y[1] (numeric) = 14.316329898880234921803639233297
absolute error = 2.07930216699e-19
relative error = 1.4523988911100983749734776199237e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 14.34500866770167599145452566426
y[1] (numeric) = 14.345008667701675991245867643746
absolute error = 2.08658020514e-19
relative error = 1.4545688005320020762555519246279e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 14.373744816576914548375273876588
y[1] (numeric) = 14.373744816576914548165886596081
absolute error = 2.09387280507e-19
relative error = 1.4567343665759140850747183506293e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 14.40253846045058440859831740377
y[1] (numeric) = 14.402538460450584408388199404175
absolute error = 2.10117999595e-19
relative error = 1.4588955979668770410479019181389e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 14.431389714497299458333380901512
y[1] (numeric) = 14.431389714497299458122530720813
absolute error = 2.10850180699e-19
relative error = 1.4610525033994948063712723235088e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 14.460298694122114352784521375667
y[1] (numeric) = 14.460298694122114352572937548916
absolute error = 2.11583826751e-19
relative error = 1.4632050915864242974986715356420e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 14.489265514960986136522622425178
y[1] (numeric) = 14.489265514960986136310303484494
absolute error = 2.12318940684e-19
relative error = 1.4653533711889583725645240898641e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 14.518290292881236787467753822233
y[1] (numeric) = 14.518290292881236787254698296795
absolute error = 2.13055525438e-19
relative error = 1.4674973508586452604395884237177e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 14.54737314398201668633157297578
y[1] (numeric) = 14.547373143982016686117779391821
absolute error = 2.13793583959e-19
relative error = 1.4696370392302923211423205065419e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 14.576514184594769013373646665972
y[1] (numeric) = 14.57651418459476901315911354677
absolute error = 2.14533119202e-19
relative error = 1.4717724449424948575216254613917e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 14.605713531283695074329280694016
y[1] (numeric) = 14.605713531283695074114006559895
absolute error = 2.15274134121e-19
relative error = 1.4739035765689125657335946068789e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 14.634971300846220557370161779202
y[1] (numeric) = 14.634971300846220557154145147519
absolute error = 2.16016631683e-19
relative error = 1.4760304427143599998772069771106e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 14.664287610313462722962840167325
y[1] (numeric) = 14.664287610313462722746079552468
absolute error = 2.16760614857e-19
relative error = 1.4781530519392652664552646072274e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 14.693662576950698528493813007375
y[1] (numeric) = 14.693662576950698528276306920756
absolute error = 2.17506086619e-19
relative error = 1.4802714127939226026014441490383e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 14.723096318257833689533707620982
y[1] (numeric) = 14.72309631825783368931545457103
absolute error = 2.18253049952e-19
relative error = 1.4823855338183756537524957793714e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 14.752588951969872679616810346766
y[1] (numeric) = 14.752588951969872679397808838924
absolute error = 2.19001507842e-19
relative error = 1.4844954235151880255025505086050e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 14.782140596057389670415940704382
y[1] (numeric) = 14.782140596057389670196189241099
absolute error = 2.19751463283e-19
relative error = 1.4866010903834244963761618649141e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 14.811751368727000414196432205664
y[1] (numeric) = 14.811751368727000413975929286388
absolute error = 2.20502919276e-19
relative error = 1.4887025429117176519626750041387e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 14.841421388421835070436750257976
y[1] (numeric) = 14.841421388421835070215494379149
absolute error = 2.21255878827e-19
relative error = 1.4907997895646791513202395104714e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=61.0MB, alloc=4.4MB, time=2.83
x[1] = 0.543
y[1] (analytic) = 14.871150773822011978507054272675
y[1] (numeric) = 14.871150773822011978285043927729
absolute error = 2.22010344946e-19
relative error = 1.4928928387761981978459875391327e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 14.900939643845112378300795324638
y[1] (numeric) = 14.900939643845112378078029003985
absolute error = 2.22766320653e-19
relative error = 1.4949816989897978919590586654060e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 14.930788117646656080718232522188
y[1] (numeric) = 14.930788117646656080494708713218
absolute error = 2.23523808970e-19
relative error = 1.4970663786047425377871243392528e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 14.960696314620578089904550655734
y[1] (numeric) = 14.960696314620578089680267842804
absolute error = 2.24282812930e-19
relative error = 1.4991468860364210377338699282950e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 14.990664354399706179149068713066
y[1] (numeric) = 14.990664354399706178924025377501
absolute error = 2.25043335565e-19
relative error = 1.5012232296359206308484065728038e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 15.020692356856239422355843494941
y[1] (numeric) = 15.020692356856239422130038115022
absolute error = 2.25805379919e-19
relative error = 1.5032954177770005850090146536257e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 15.050780442102227682999794851378
y[1] (numeric) = 15.050780442102227682773225902337
absolute error = 2.26568949041e-19
relative error = 1.5053634588091422097653761173588e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 15.08092873049005206248630900251
y[1] (numeric) = 15.080928730490052062258974956527
absolute error = 2.27334045983e-19
relative error = 1.5074273610443142855878969341609e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 15.111137342612906309836114022998
y[1] (numeric) = 15.11113734261290630960801334919
absolute error = 2.28100673808e-19
relative error = 1.5094871328100742115327854491362e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 15.141406399305279194621066871373
y[1] (numeric) = 15.141406399305279194392198035792
absolute error = 2.28868835581e-19
relative error = 1.5115427823897587359617087253128e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 15.171736021643437845080344350646
y[1] (numeric) = 15.171736021643437844850705816271
absolute error = 2.29638534375e-19
relative error = 1.5135943180622583634695951417351e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 15.202126330945912053350391109372
y[1] (numeric) = 15.202126330945912053119981336103
absolute error = 2.30409773269e-19
relative error = 1.5156417480886922876874848900525e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 15.232577448773979549745846248722
y[1] (numeric) = 15.232577448773979549514663693375
absolute error = 2.31182555347e-19
relative error = 1.5176850807058074696341652770034e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 15.263089496932152248032546306291
y[1] (numeric) = 15.263089496932152247800589422589
absolute error = 2.31956883702e-19
relative error = 1.5197243241522158964907224995658e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 15.293662597468663463637586356981
y[1] (numeric) = 15.293662597468663463404853595551
absolute error = 2.32732761430e-19
relative error = 1.5217594866289312141657893941244e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 15.324296872675956106745312720834
y[1] (numeric) = 15.3242968726759561065118025292
absolute error = 2.33510191634e-19
relative error = 1.5237905763256336146586581485427e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 15.354992445091171852232020312706
y[1] (numeric) = 15.354992445091171851997731135281
absolute error = 2.34289177425e-19
relative error = 1.5258176014270835014474456341681e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 15.385749437496641288396035024796
y[1] (numeric) = 15.385749437496641288160965302877
absolute error = 2.35069721919e-19
relative error = 1.5278405700934600037972171329386e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 15.416567972920375046443776715895
y[1] (numeric) = 15.416567972920375046207924887659
absolute error = 2.35851828236e-19
relative error = 1.5298594904539078498619440966033e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 15.447448174636555912696321406448
y[1] (numeric) = 15.447448174636555912459685906942
absolute error = 2.36635499506e-19
relative error = 1.5318743706454772218391431841749e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 15.47839016616603192548491216182
y[1] (numeric) = 15.478390166166031925247491422955
absolute error = 2.37420738865e-19
relative error = 1.5338852187869913967157681258323e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 15.509394071276810458707806903276
y[1] (numeric) = 15.509394071276810458469599353825
absolute error = 2.38207549451e-19
relative error = 1.5358920429532265393080711217675e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 15.540460013984553294024798032856
y[1] (numeric) = 15.540460013984553293785802098441
absolute error = 2.38995934415e-19
relative error = 1.5378948512459237044556622447297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 15.571588118553072683669693310288
y[1] (numeric) = 15.571588118553072683429907413382
absolute error = 2.39785896906e-19
relative error = 1.5398936516969801657510054620643e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 15.602778509494828405865009893328
y[1] (numeric) = 15.60277850949482840562443245324
absolute error = 2.40577440088e-19
relative error = 1.5418884523778911380230874047841e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 15.634031311571425814827103862988
y[1] (numeric) = 15.634031311571425814585733295864
absolute error = 2.41370567124e-19
relative error = 1.5438792612968042133095870231116e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 15.665346649794114887353935918292
y[1] (numeric) = 15.665346649794114887111770637102
absolute error = 2.42165281190e-19
relative error = 1.5458660864883108611804882161325e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 15.696724649424290267991660256965
y[1] (numeric) = 15.696724649424290267748698671504
absolute error = 2.42961585461e-19
relative error = 1.5478489359237827807656723353125e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 15.728165435973992314780217975192
y[1] (numeric) = 15.728165435973992314536458492067
absolute error = 2.43759483125e-19
relative error = 1.5498278176008058765961357421495e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=64.8MB, alloc=4.4MB, time=3.01
x[1] = 0.572
y[1] (analytic) = 15.759669135206409147582118636828
y[1] (numeric) = 15.759669135206409147337559659456
absolute error = 2.44558977372e-19
relative error = 1.5518027394729117655000692854044e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 15.791235873136379701002603996628
y[1] (numeric) = 15.791235873136379700757243925227
absolute error = 2.45360071401e-19
relative error = 1.5537737094941369954719745268037e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 15.82286577603089778391340622886
y[1] (numeric) = 15.822865776030897783667243460444
absolute error = 2.46162768416e-19
relative error = 1.5557407355935300110534381022441e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 15.854558970409617147596339428426
y[1] (numeric) = 15.854558970409617147349372356799
absolute error = 2.46967071627e-19
relative error = 1.5577038256814997233647072898408e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 15.886315583045357564526997632282
y[1] (numeric) = 15.886315583045357564279224648028
absolute error = 2.47772984254e-19
relative error = 1.5596629876749728096721621388632e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 15.918135740964611919822875170708
y[1] (numeric) = 15.918135740964611919574294661191
absolute error = 2.48580509517e-19
relative error = 1.5616182294342995998145057350463e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 15.950019571448054317384275817056
y[1] (numeric) = 15.950019571448054317134886166409
absolute error = 2.49389650647e-19
relative error = 1.5635695588325768022742218937283e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 15.981967202031049202760435977062
y[1] (numeric) = 15.981967202031049202510235566179
absolute error = 2.50200410883e-19
relative error = 1.5655169837365426440290762608667e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 16.013978760504161504777354061055
y[1] (numeric) = 16.01397876050416150452634126759
absolute error = 2.51012793465e-19
relative error = 1.5674605119627214211198187315366e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 16.04605437491366779796789323058
y[1] (numeric) = 16.046054374913667797716066428935
absolute error = 2.51826801645e-19
relative error = 1.5694001513462707414597830182403e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 16.078194173562068487848807921374
y[1] (numeric) = 16.078194173562068487596165482697
absolute error = 2.52642438677e-19
relative error = 1.5713359096783935575713571343514e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 16.11039828500860102109343593374
y[1] (numeric) = 16.110398285008601020839976225915
absolute error = 2.53459707825e-19
relative error = 1.5732677947562280450791274926744e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 16.142666838069754122652897465344
y[1] (numeric) = 16.142666838069754122398618852987
absolute error = 2.54278612357e-19
relative error = 1.5751958143454142690251202512200e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 16.174999961819783061882750256902
y[1] (numeric) = 16.174999961819783061627651101351
absolute error = 2.55099155551e-19
relative error = 1.5771199762172972382945734836576e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 16.207397785591225949736166044374
y[1] (numeric) = 16.207397785591225949480244703688
absolute error = 2.55921340686e-19
relative error = 1.5790402880931345269625877388262e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 16.2398604389754210690888177788
y[1] (numeric) = 16.239860438975421068832072607749
absolute error = 2.56745171051e-19
relative error = 1.5809567576998103183589230774996e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 16.272388051823025240264799603073
y[1] (numeric) = 16.27238805182302524000722895313
absolute error = 2.57570649943e-19
relative error = 1.5828693927572842724188140529630e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 16.304980754244533223837042380489
y[1] (numeric) = 16.304980754244533223578644599825
absolute error = 2.58397780664e-19
relative error = 1.5847782009600567160198789106213e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 16.337638676610798162779836669286
y[1] (numeric) = 16.337638676610798162520610102765
absolute error = 2.59226566521e-19
relative error = 1.5866831899772182734155764556487e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.591
y[1] (analytic) = 16.370361949553553066055232447173
y[1] (numeric) = 16.370361949553553065795175436343
absolute error = 2.60057010830e-19
relative error = 1.5885843674769340466642929125154e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 16.403150703965933335719250626764
y[1] (numeric) = 16.403150703965933335458361509852
absolute error = 2.60889116912e-19
relative error = 1.5904817411018637683497795250597e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 16.436005071003000339638015483472
y[1] (numeric) = 16.436005071003000339376292595374
absolute error = 2.61722888098e-19
relative error = 1.5923753184996338659996333374412e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 16.468925182082266031908099558474
y[1] (numeric) = 16.468925182082266031645541230752
absolute error = 2.62558327722e-19
relative error = 1.5942651072800803094822467660638e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 16.501911168884218623079563417636
y[1] (numeric) = 16.501911168884218622816167978514
absolute error = 2.63395439122e-19
relative error = 1.5961511150214824292313627701884e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 16.534963163352849302284371859456
y[1] (numeric) = 16.534963163352849302020137633805
absolute error = 2.64234225651e-19
relative error = 1.5980333493372013657179267959915e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 16.568081297696180013377075787952
y[1] (numeric) = 16.56808129769618001311200109729
absolute error = 2.65074690662e-19
relative error = 1.5999118177845921617155727907648e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 16.60126570438679228719886501697
y[1] (numeric) = 16.601265704386792286932948179452
absolute error = 2.65916837518e-19
relative error = 1.6017865279255963726643411542689e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 16.6345165161623571320803217672
y[1] (numeric) = 16.634516516162357131813561097612
absolute error = 2.66760669588e-19
relative error = 1.6036574873024481939516106998398e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 16.667833866026165984702437573441
y[1] (numeric) = 16.667833866026165984434831383196
absolute error = 2.67606190245e-19
relative error = 1.6055247034256700735206847000435e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=68.6MB, alloc=4.4MB, time=3.19
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 16.701217887247662723439697754138
y[1] (numeric) = 16.701217887247662723171244351266
absolute error = 2.68453402872e-19
relative error = 1.6073881838101134082146351812297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 16.734668713362976746313287524848
y[1] (numeric) = 16.734668713362976746043985213988
absolute error = 2.69302310860e-19
relative error = 1.6092479359627631739537778409576e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 16.768186478175457115686732279249
y[1] (numeric) = 16.768186478175457115416579361647
absolute error = 2.70152917602e-19
relative error = 1.6111039673468331012687747472259e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 16.80177131575620777184055153245
y[1] (numeric) = 16.801771315756207771569546305948
absolute error = 2.71005226502e-19
relative error = 1.6129562854355674773278841568587e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 16.83542336044462381756678153882
y[1] (numeric) = 16.835423360444623817294922297852
absolute error = 2.71859240968e-19
relative error = 1.6148048976703618388704581829200e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 16.869142746848928875928505677491
y[1] (numeric) = 16.869142746848928875655790713074
absolute error = 2.72714964417e-19
relative error = 1.6166498114905203786199155524847e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 16.902929609846713523333824360115
y[1] (numeric) = 16.902929609846713523060251959843
absolute error = 2.73572400272e-19
relative error = 1.6184910343153285360079063291147e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 16.93678408458547480007799747468
y[1] (numeric) = 16.936784084585474799803565922719
absolute error = 2.74431551961e-19
relative error = 1.6203285735381485809314569301987e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 16.9707063064831568005118022533
y[1] (numeric) = 16.970706306483156800236509830376
absolute error = 2.75292422924e-19
relative error = 1.6221624365677265045728325910092e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 17.004696411228692344998467958182
y[1] (numeric) = 17.004696411228692344722312941581
absolute error = 2.76155016601e-19
relative error = 1.6239926307572704666860099650030e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 17.038754534782545735825875935769
y[1] (numeric) = 17.038754534782545735548856599325
absolute error = 2.77019336444e-19
relative error = 1.6258191634752335088952965437714e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 17.072880813377256599245049411501
y[1] (numeric) = 17.072880813377256598967164025591
absolute error = 2.77885385910e-19
relative error = 1.6276420420639623250688408532872e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 17.107075383517984815810301904295
y[1] (numeric) = 17.107075383517984815531548735832
absolute error = 2.78753168463e-19
relative error = 1.6294612738514501115525970382818e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 17.14133838198305654120076634791
y[1] (numeric) = 17.141338381983056540921143660335
absolute error = 2.79622687575e-19
relative error = 1.6312768661571154247325257705136e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 17.175669945824511319707388933331
y[1] (numeric) = 17.175669945824511319426894986609
absolute error = 2.80493946722e-19
relative error = 1.6330888262684008962338062654345e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 17.210070212368650292573842349652
y[1] (numeric) = 17.21007021236865029229247540026
absolute error = 2.81366949392e-19
relative error = 1.6348971614873789849643370736930e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 17.244539319216585503384192518027
y[1] (numeric) = 17.244539319216585503101950818952
absolute error = 2.82241699075e-19
relative error = 1.6367018790724190815149978390457e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 17.279077404244790302694541101794
y[1] (numeric) = 17.279077404244790302411422902523
absolute error = 2.83118199271e-19
relative error = 1.6385029862847248090272778945081e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 17.313684605605650854110263053188
y[1] (numeric) = 17.313684605605650853826266599704
absolute error = 2.83996453484e-19
relative error = 1.6403004903534541778156612767490e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 17.34836106172801874401486424096
y[1] (numeric) = 17.34836106172801874372998777573
absolute error = 2.84876465230e-19
relative error = 1.6420943985219564077894655568674e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 17.383106911317764697160898811119
y[1] (numeric) = 17.383106911317764696875140573091
absolute error = 2.85758238028e-19
relative error = 1.6438847179956593129198571132445e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 17.417922293358333400337809382774
y[1] (numeric) = 17.41792229335833340005116760737
absolute error = 2.86641775404e-19
relative error = 1.6456714559652158479947761393234e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 17.4528073471112994363359854902
y[1] (numeric) = 17.452807347111299436048458409307
absolute error = 2.87527080893e-19
relative error = 1.6474546196179151137138493656457e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 17.487762212116924330430776868592
y[1] (numeric) = 17.487762212116924330142362710556
absolute error = 2.88414158036e-19
relative error = 1.6492342161203652346160228739272e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 17.52278702819471471161464826231
y[1] (numeric) = 17.522787028194714711325345251928
absolute error = 2.89303010382e-19
relative error = 1.6510102526299176575706046988153e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 17.557881935443981590810121428426
y[1] (numeric) = 17.557881935443981590519927786941
absolute error = 2.90193641485e-19
relative error = 1.6527827362774777020098478101243e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 17.593047074244400758300617933074
y[1] (numeric) = 17.593047074244400758009531878166
absolute error = 2.91086054908e-19
relative error = 1.6545516741903095254675001167602e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 17.62828258525657430262079321114
y[1] (numeric) = 17.62828258525657430232881295692
absolute error = 2.91980254220e-19
relative error = 1.6563170734748595251177314167208e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 17.663588609422593253152438199347
y[1] (numeric) = 17.663588609422593252859561956347
absolute error = 2.92876243000e-19
relative error = 1.6580789412394147673414083244332e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=72.4MB, alloc=4.4MB, time=3.38
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 17.698965287966601348676519676508
y[1] (numeric) = 17.698965287966601348382745651677
absolute error = 2.93774024831e-19
relative error = 1.6598372845599897154123810882759e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 17.734412762395359934136434270822
y[1] (numeric) = 17.734412762395359933841760667518
absolute error = 2.94673603304e-19
relative error = 1.6615921105030087746544528992198e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 17.769931174498813987872063940409
y[1] (numeric) = 17.769931174498813987576488958393
absolute error = 2.95574982016e-19
relative error = 1.6633434261139531092490722840441e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 17.80552066635065928158874261802
y[1] (numeric) = 17.805520666350659281292264453445
absolute error = 2.96478164575e-19
relative error = 1.6650912384454571109337200146326e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 17.841181380308910675329774651984
y[1] (numeric) = 17.841181380308910675032391497393
absolute error = 2.97383154591e-19
relative error = 1.6668355545065983014625731758487e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 17.876913459016471549725685691225
y[1] (numeric) = 17.876913459016471549427395735538
absolute error = 2.98289955687e-19
relative error = 1.6685763813246703686000041961982e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 17.912717045401704377797935770552
y[1] (numeric) = 17.912717045401704377498737199065
absolute error = 2.99198571487e-19
relative error = 1.6703137258778168604749989076836e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 17.948592282679002438599382571883
y[1] (numeric) = 17.948592282679002438299273566255
absolute error = 3.00109005628e-19
relative error = 1.6720475951621861909666305039657e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 17.984539314349362674978350185502
y[1] (numeric) = 17.984539314349362674677328923751
absolute error = 3.01021261751e-19
relative error = 1.6737779961415165355927057630772e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 18.020558284200959697757735191458
y[1] (numeric) = 18.020558284200959697455799847954
absolute error = 3.01935343504e-19
relative error = 1.6755049357639141516908450457002e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 18.056649336309720938625167542866
y[1] (numeric) = 18.05664933630972093832231628832
absolute error = 3.02851254546e-19
relative error = 1.6772284209839698267685313823895e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 18.092812615039902954034838578606
y[1] (numeric) = 18.09281261503990295373106958007
absolute error = 3.03768998536e-19
relative error = 1.6789484587017044611571335178674e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 18.129048265044668882426212541176
y[1] (numeric) = 18.129048265044668882121523962026
absolute error = 3.04688579150e-19
relative error = 1.6806650558566940066680931969036e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 18.165356431266667057069451244434
y[1] (numeric) = 18.165356431266667056763841244371
absolute error = 3.05610000063e-19
relative error = 1.6823782193283937083774336798924e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 18.20173725893861077685200404447
y[1] (numeric) = 18.201737258938610776545470779508
absolute error = 3.06533264962e-19
relative error = 1.6840879560079680442184447612726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 18.238190893583859237325447032947
y[1] (numeric) = 18.238190893583859237017988655407
absolute error = 3.07458377540e-19
relative error = 1.6857942727650851242582051624806e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 18.274717481016999624336296414872
y[1] (numeric) = 18.274717481016999624027911073376
absolute error = 3.08385341496e-19
relative error = 1.6874971764479401410414517647821e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 18.311317167344430372569171370168
y[1] (numeric) = 18.311317167344430372259857209627
absolute error = 3.09314160541e-19
relative error = 1.6891966739160457337001403972130e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 18.347990098964945591335341349365
y[1] (numeric) = 18.347990098964945591025096510978
absolute error = 3.10244838387e-19
relative error = 1.6908927719799764889897711499669e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 18.384736422570320659944361736856
y[1] (numeric) = 18.384736422570320659633184358097
absolute error = 3.11177378759e-19
relative error = 1.6925854774669384451553065107070e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 18.421556285145898995001180149032
y[1] (numeric) = 18.421556285145898994689068363646
absolute error = 3.12111785386e-19
relative error = 1.6942747971715575935031181545887e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 18.458449833971179991975783338094
y[1] (numeric) = 18.458449833971179991662735276089
absolute error = 3.13048062005e-19
relative error = 1.6959607378776852926312962289762e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 18.495417216620408143397151764045
y[1] (numeric) = 18.495417216620408143083165551682
absolute error = 3.13986212363e-19
relative error = 1.6976433063691299359410420336459e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 18.532458580963163336027995396167
y[1] (numeric) = 18.532458580963163335713069155955
absolute error = 3.14926240212e-19
relative error = 1.6993225094024882942895769202850e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 18.56957407516495232938146023
y[1] (numeric) = 18.569574075164952329065592080689
absolute error = 3.15868149311e-19
relative error = 1.7009983537179980451048760627001e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 18.60676384768780141794572037528
y[1] (numeric) = 18.606763847687801417628908431852
absolute error = 3.16811943428e-19
relative error = 1.7026708460502610783627790439585e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 18.64402804729085027948710540342
y[1] (numeric) = 18.644028047290850279169347777081
absolute error = 3.17757626339e-19
relative error = 1.7043399931227475393133963985304e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 18.681366823030947011807156958844
y[1] (numeric) = 18.681366823030947011488451757018
absolute error = 3.18705201826e-19
relative error = 1.7060058016370124899352853471800e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 18.718780324263244360333762455786
y[1] (numeric) = 18.718780324263244360014107782105
memory used=76.2MB, alloc=4.4MB, time=3.56
absolute error = 3.19654673681e-19
relative error = 1.7076682782940952235739380993261e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 18.756268700641797138931277020048
y[1] (numeric) = 18.756268700641797138610670974348
absolute error = 3.20606045700e-19
relative error = 1.7093274297623470571245213758054e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 18.79383210212016084631931771278
y[1] (numeric) = 18.793832102120160845997758391092
absolute error = 3.21559321688e-19
relative error = 1.7109832627041741145334021952632e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 18.831470678951991480494696509608
y[1] (numeric) = 18.831470678951991480172182004148
absolute error = 3.22514505460e-19
relative error = 1.7126357837812196244362769566723e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 18.869184581691646553555750522584
y[1] (numeric) = 18.869184581691646553232278921748
absolute error = 3.23471600836e-19
relative error = 1.7142849996276858556527779831871e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 18.906973961194787309333129563654
y[1] (numeric) = 18.90697396119478730900869895201
absolute error = 3.24430611644e-19
relative error = 1.7159309168662877619383888977704e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 18.944838968618982146235912375732
y[1] (numeric) = 18.944838968618982145910520834013
absolute error = 3.25391541719e-19
relative error = 1.7175735421029023255296073895297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 18.982779755424311247726743720424
y[1] (numeric) = 18.982779755424311247400389325517
absolute error = 3.26354394907e-19
relative error = 1.7192128819476217242216491001733e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 19.020796473373972422844515029104
y[1] (numeric) = 19.020796473373972422517195854045
absolute error = 3.27319175059e-19
relative error = 1.7208489429829803085261808297188e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 19.058889274534888159197951515874
y[1] (numeric) = 19.058889274534888158869665629842
absolute error = 3.28285886032e-19
relative error = 1.7224817317692899314569901533474e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 19.097058311278313890858318536153
y[1] (numeric) = 19.097058311278313890529064004458
absolute error = 3.29254531695e-19
relative error = 1.7241112548760942979760280043622e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 19.135303736280447483584319572735
y[1] (numeric) = 19.135303736280447483254094456813
absolute error = 3.30225115922e-19
relative error = 1.7257375188453094986457750197002e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 19.173625702523039939817127561566
y[1] (numeric) = 19.173625702523039939485929918972
absolute error = 3.31197642594e-19
relative error = 1.7273605302017448057222327141646e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 19.21202436329400732588837035164
y[1] (numeric) = 19.212024363294007325556198236036
absolute error = 3.32172115604e-19
relative error = 1.7289802954791134899630723217801e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 19.250499872188043923888779946844
y[1] (numeric) = 19.250499872188043923555631407996
absolute error = 3.33148538848e-19
relative error = 1.7305968211730066696045314315364e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 19.289052383107236610650113821906
y[1] (numeric) = 19.289052383107236610315986905675
absolute error = 3.34126916231e-19
relative error = 1.7322101137721942003015411606957e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 19.327682050261680466297865059286
y[1] (numeric) = 19.327682050261680465962757807618
absolute error = 3.35107251668e-19
relative error = 1.7338201797636821704071229498074e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 19.36638902817009561483719633867
y[1] (numeric) = 19.36638902817009561450110678959
absolute error = 3.36089549080e-19
relative error = 1.7354270256118915485969271333316e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 19.405173471660445299239460945256
y[1] (numeric) = 19.40517347166044529890238713286
absolute error = 3.37073812396e-19
relative error = 1.7370306577690055357012289531000e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 19.444035535870555193501611967017
y[1] (numeric) = 19.444035535870555193163551921464
absolute error = 3.38060045553e-19
relative error = 1.7386310826749075719272505806581e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 19.482975376248733954155748744325
y[1] (numeric) = 19.482975376248733953816700491829
absolute error = 3.39048252496e-19
relative error = 1.7402283067571201416338811173121e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 19.521993148554395013711007437525
y[1] (numeric) = 19.521993148554395013370969000347
absolute error = 3.40038437178e-19
relative error = 1.7418223364307443707290629392726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 19.561089008858679618514970309081
y[1] (numeric) = 19.561089008858679618173939705522
absolute error = 3.41030603559e-19
relative error = 1.7434131780932882219683463176447e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 19.600263113545081113526745996646
y[1] (numeric) = 19.600263113545081113184721241037
absolute error = 3.42024755609e-19
relative error = 1.7450008381399646673223494805297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 19.639515619310070476498860701758
y[1] (numeric) = 19.639515619310070476155839804454
absolute error = 3.43020897304e-19
relative error = 1.7465853229431643579207714128252e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 19.678846683163723104070097855771
y[1] (numeric) = 19.678846683163723103726078823144
absolute error = 3.44019032627e-19
relative error = 1.7481666388575819126653057090851e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 19.7182564624303468522764314701
y[1] (numeric) = 19.718256462430346851931412304528
absolute error = 3.45019165572e-19
relative error = 1.7497447922404957528324607557602e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 19.757745114749111333992216051892
y[1] (numeric) = 19.757745114749111333646194751752
absolute error = 3.46021300140e-19
relative error = 1.7513197894313146819701472609845e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 19.797312798074678475818823688952
y[1] (numeric) = 19.797312798074678475471798248613
absolute error = 3.47025440339e-19
relative error = 1.7528916367515736781102421478005e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.4MB, time=3.74
x[1] = 0.687
y[1] (analytic) = 19.836959670677834336942956699216
y[1] (numeric) = 19.83695967067783433659492510903
absolute error = 3.48031590186e-19
relative error = 1.7544603405150123258981396411966e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 19.876685891146122192491912120442
y[1] (numeric) = 19.876685891146122192142872366736
absolute error = 3.49039753706e-19
relative error = 1.7560259070224397321484684765790e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 19.916491618384476883918132305288
y[1] (numeric) = 19.91649161838447688356808237036
absolute error = 3.50049934928e-19
relative error = 1.7575883425415979260674610394557e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 19.956377011615860438950444005798
y[1] (numeric) = 19.9563770116158604385993818679
absolute error = 3.51062137898e-19
relative error = 1.7591476533724526434291363967368e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 19.996342230381898963654466599703
y[1] (numeric) = 19.996342230381898963302390233042
absolute error = 3.52076366661e-19
relative error = 1.7607038457566741207950956510471e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 20.036387434543520809149758549416
y[1] (numeric) = 20.03638743454352080879666592414
absolute error = 3.53092625276e-19
relative error = 1.7622569259529011306338424360422e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 20.076512784281596015536369813146
y[1] (numeric) = 20.076512784281596015182258895339
absolute error = 3.54110917807e-19
relative error = 1.7638069001915626207652706691240e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 20.116718440097577035588576766967
y[1] (numeric) = 20.116718440097577035233445518639
absolute error = 3.55131248328e-19
relative error = 1.7653537746998333000429311588218e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 20.157004562814140740778695267054
y[1] (numeric) = 20.157004562814140740422541646135
absolute error = 3.56153620919e-19
relative error = 1.7668975556816414990072314307990e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 20.197371313575831712198996803372
y[1] (numeric) = 20.197371313575831711841818763701
absolute error = 3.57178039671e-19
relative error = 1.7684382493424765594872601077803e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 20.237818853849706818954892290182
y[1] (numeric) = 20.237818853849706818596687781501
absolute error = 3.58204508681e-19
relative error = 1.7699758618644870346388500145299e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 20.278347345425981086607697925548
y[1] (numeric) = 20.278347345425981086248464893493
absolute error = 3.59233032055e-19
relative error = 1.7715103994213276986906087469691e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 20.318956950418674858250457752066
y[1] (numeric) = 20.318956950418674857890194138159
absolute error = 3.60263613907e-19
relative error = 1.7730418681731432059149316947703e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 20.359647831266262250805468084986
y[1] (numeric) = 20.359647831266262250444171826627
absolute error = 3.61296258359e-19
relative error = 1.7745702742665234328021672473996e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 20.400420150732320909137329862428
y[1] (numeric) = 20.400420150732320908774998892887
absolute error = 3.62330969541e-19
relative error = 1.7760956238344595093076411751716e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 20.441274071906183060580546236252
y[1] (numeric) = 20.441274071906183060217178484658
absolute error = 3.63367751594e-19
relative error = 1.7776179230109767236721024297965e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 20.48220975820358787248588438203
y[1] (numeric) = 20.482209758203587872121477773367
absolute error = 3.64406608663e-19
relative error = 1.7791371778967692596702024431303e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 20.523227373367335115394932583392
y[1] (numeric) = 20.523227373367335115029485038487
absolute error = 3.65447544905e-19
relative error = 1.7806533945983342334340585620085e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 20.564327081467940134457506160516
y[1] (numeric) = 20.564327081467940134091015596033
absolute error = 3.66490564483e-19
relative error = 1.7821665791985587379650642030410e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 20.605509046904290131711788785684
y[1] (numeric) = 20.605509046904290131344253114115
absolute error = 3.67535671569e-19
relative error = 1.7836767377713362378181503629244e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 20.646773434404301761852339181512
y[1] (numeric) = 20.646773434404301761483756311168
absolute error = 3.68582870344e-19
relative error = 1.7851838763814783387208732730761e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 20.688120409025580044116347150676
y[1] (numeric) = 20.688120409025580043746714985681
absolute error = 3.69632164995e-19
relative error = 1.7866880010701264302618492199224e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 20.72955013615607859292378736071
y[1] (numeric) = 20.729550136156078592553103800989
absolute error = 3.70683559721e-19
relative error = 1.7881891178837544436038636029717e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 20.771062781514761169912394324788
y[1] (numeric) = 20.771062781514761169540657266061
absolute error = 3.71737058727e-19
relative error = 1.7896872328450519118501433510061e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 20.812658511152264560013667600478
y[1] (numeric) = 20.812658511152264559640874934249
absolute error = 3.72792666229e-19
relative error = 1.7911823519770076723031269761408e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 20.854337491451562774221412394298
y[1] (numeric) = 20.854337491451562773847562007853
absolute error = 3.73850386445e-19
relative error = 1.7926744812595732311948367973486e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 20.896099889128632581709627531876
y[1] (numeric) = 20.896099889128632581334717308266
absolute error = 3.74910223610e-19
relative error = 1.7941636267016991048366179649660e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 20.937945871233120373961870152598
y[1] (numeric) = 20.937945871233120373585897970637
absolute error = 3.75972181961e-19
relative error = 1.7956497942692287442706132780167e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 20.979875605149010363579554535398
y[1] (numeric) = 20.979875605149010363202518269651
absolute error = 3.77036265747e-19
relative error = 1.7971329899328165515960073818086e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=83.9MB, alloc=4.4MB, time=3.92
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 21.021889258595294120441981179782
y[1] (numeric) = 21.021889258595294120063878700559
absolute error = 3.78102479223e-19
relative error = 1.7986132196391620875981110210612e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 21.063986999626641447896241674947
y[1] (numeric) = 21.063986999626641447517070848292
absolute error = 3.79170826655e-19
relative error = 1.8000904893348101277670647312218e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 21.106168996634072601660505011088
y[1] (numeric) = 21.106168996634072601280263698772
absolute error = 3.80241312316e-19
relative error = 1.8015648049470245565102476966245e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 21.148435418345631854129561842358
y[1] (numeric) = 21.148435418345631853748247901869
absolute error = 3.81313940489e-19
relative error = 1.8030361723979903573153968565881e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 21.190786433827062406776884821715
y[1] (numeric) = 21.190786433827062406394496106252
absolute error = 3.82388715463e-19
relative error = 1.8045045975858125946731692877236e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 21.233222212482482653352855515812
y[1] (numeric) = 21.233222212482482652969389874275
absolute error = 3.83465641537e-19
relative error = 1.8059700864034197185576080721676e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 21.275742924055063796584211594495
y[1] (numeric) = 21.275742924055063796199666871474
absolute error = 3.84544723021e-19
relative error = 1.8074326447431404344839507206009e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 21.318348738627708821085181996198
y[1] (numeric) = 21.318348738627708820699556031968
absolute error = 3.85625964230e-19
relative error = 1.8088922784683898044417345385720e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 21.361039826623732825196202619076
y[1] (numeric) = 21.361039826623732824809493249589
absolute error = 3.86709369487e-19
relative error = 1.8103489934278270516875614098903e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 21.403816358807544714471540799851
y[1] (numeric) = 21.403816358807544714083745856722
absolute error = 3.87794943129e-19
relative error = 1.8118027954833608850776633963375e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 21.446678506285330259542603439768
y[1] (numeric) = 21.446678506285330259153720750272
absolute error = 3.88882689496e-19
relative error = 1.8132536904585529041773792690745e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 21.489626440505736521089161141679
y[1] (numeric) = 21.489626440505736520699188528739
absolute error = 3.89972612940e-19
relative error = 1.8147016841807064508203618596858e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 21.532660333260557644656189155681
y[1] (numeric) = 21.532660333260557644265124437861
absolute error = 3.91064717820e-19
relative error = 1.8161467824574349157831474350358e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 21.575780356685422028059505315088
y[1] (numeric) = 21.575780356685422027667346306583
absolute error = 3.92159008505e-19
relative error = 1.8175889910905887823892555434321e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 21.618986683260480864128875501497
y[1] (numeric) = 21.618986683260480863735620012126
absolute error = 3.93255489371e-19
relative error = 1.8190283158622628368640317869987e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 21.662279485811098061542758529445
y[1] (numeric) = 21.66227948581109806114840436464
absolute error = 3.94354164805e-19
relative error = 1.8204647625532851239540792144549e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 21.705658937508541546514374709508
y[1] (numeric) = 21.705658937508541546118919670306
absolute error = 3.95455039202e-19
relative error = 1.8218983369292351007950438552232e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 21.749125211870675948094305755871
y[1] (numeric) = 21.749125211870675947697747638907
absolute error = 3.96558116964e-19
relative error = 1.8233290447358246741433388595757e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 21.792678482762656669860368172345
y[1] (numeric) = 21.79267848276265666946270476984
absolute error = 3.97663402505e-19
relative error = 1.8247568917218670957151160715416e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 21.836318924397625350771047801742
y[1] (numeric) = 21.836318924397625350372276901496
absolute error = 3.98770900246e-19
relative error = 1.8261818836161757365233921205281e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 21.880046711337406717964339879643
y[1] (numeric) = 21.880046711337406717564459265027
absolute error = 3.99880614616e-19
relative error = 1.8276040261321613100739204266344e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 21.923862018493206834289406717052
y[1] (numeric) = 21.923862018493206833888414166998
absolute error = 4.00992550054e-19
relative error = 1.8290233249769357856048262209177e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 21.967765021126312743364044069553
y[1] (numeric) = 21.967765021126312742961937358544
absolute error = 4.02106711009e-19
relative error = 1.8304397858512031891369547250137e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 22.011755894848793514956537355711
y[1] (numeric) = 22.011755894848793514553314253774
absolute error = 4.03223101937e-19
relative error = 1.8318534144355223922908064210758e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 22.055834815624202693496090186858
y[1] (numeric) = 22.055834815624202693091748459556
absolute error = 4.04341727302e-19
relative error = 1.8332642163948701815772246430656e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 22.100001959768282152521620186588
y[1] (numeric) = 22.100001959768282152116157595007
absolute error = 4.05462591581e-19
relative error = 1.8346721974012497459710744174844e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 22.144257503949667357884340833596
y[1] (numeric) = 22.14425750394966735747775513434
absolute error = 4.06585699256e-19
relative error = 1.8360773630973224174449809865102e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 22.188601625190594042525183078565
y[1] (numeric) = 22.188601625190594042117472023746
absolute error = 4.07711054819e-19
relative error = 1.8374797191190631109577668045920e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 22.233034500867606295653756787006
y[1] (numeric) = 22.233034500867606295244918124234
absolute error = 4.08838662772e-19
relative error = 1.8388792710956561852791717362078e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=87.7MB, alloc=4.4MB, time=4.09
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 22.277556308712266069161209668014
y[1] (numeric) = 22.277556308712266068751241140388
absolute error = 4.09968527626e-19
relative error = 1.8402760246449035181024468567259e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 22.32216722681186410410501028639
y[1] (numeric) = 22.322167226811864103693909632491
absolute error = 4.11100653899e-19
relative error = 1.8416699853642075858927265345813e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 22.36686743361013228010936204517
y[1] (numeric) = 22.366867433610132279697126999048
absolute error = 4.12235046122e-19
relative error = 1.8430611588574299255903008394628e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 22.411657107907957390530646689992
y[1] (numeric) = 22.411657107907957390117274981162
absolute error = 4.13371708830e-19
relative error = 1.8444495506944986921169924729214e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 22.456536428864096346242998948809
y[1] (numeric) = 22.456536428864096345828488302238
absolute error = 4.14510646571e-19
relative error = 1.8458351664516544018896860865703e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 22.501505575995892810904828402822
y[1] (numeric) = 22.501505575995892810489176538921
absolute error = 4.15651863901e-19
relative error = 1.8472180116889964533844316838687e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 22.546564729179995270572830610251
y[1] (numeric) = 22.546564729179995270156035244867
absolute error = 4.16795365384e-19
relative error = 1.8485980919504742298810249937851e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 22.591714068653076540535766896412
y[1] (numeric) = 22.591714068653076540117825740817
absolute error = 4.17941155595e-19
relative error = 1.8499754127771578725058457729170e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 22.636953775012554712246041104556
y[1] (numeric) = 22.63695377501255471182695186544
absolute error = 4.19089239116e-19
relative error = 1.8513499796894273966302820351838e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 22.682284029217315543232861995048
y[1] (numeric) = 22.682284029217315542812622374508
absolute error = 4.20239620540e-19
relative error = 1.8527217982046447618779967048199e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 22.727705012588436292886551908713
y[1] (numeric) = 22.727705012588436292465159604245
absolute error = 4.21392304468e-19
relative error = 1.8540908738238152577942446627041e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 22.773216906809911007009345796708
y[1] (numeric) = 22.773216906809911006586798501197
absolute error = 4.22547295511e-19
relative error = 1.8554572120403640255449133042004e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 22.818819893929377254033819787158
y[1] (numeric) = 22.818819893929377253610115188868
absolute error = 4.23704598290e-19
relative error = 1.8568208183400430227769404434373e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 22.864514156358844315815895131242
y[1] (numeric) = 22.864514156358844315391030913809
absolute error = 4.24864217433e-19
relative error = 1.8581816981877181882181345627024e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 22.91029987687542283591518167169
y[1] (numeric) = 22.910299876875422835489155514111
absolute error = 4.26026157579e-19
relative error = 1.8595398570448688414561226060865e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 22.956177238622055928281254927904
y[1] (numeric) = 22.956177238622055927854064504529
absolute error = 4.27190423375e-19
relative error = 1.8608953003563850183627243265640e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 23.002146425108251749270302517638
y[1] (numeric) = 23.002146425108251748841945498159
absolute error = 4.28357019479e-19
relative error = 1.8622480335636072446570193712293e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 23.048207620210817535922428958579
y[1] (numeric) = 23.048207620210817535492903008023
absolute error = 4.29525950556e-19
relative error = 1.8635980620868392215828641854166e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 23.094361008174595113435772937776
y[1] (numeric) = 23.094361008174595113005075716491
absolute error = 4.30697221285e-19
relative error = 1.8649453913557004896995905450784e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.764
y[1] (analytic) = 23.14060677361319787477946792604
y[1] (numeric) = 23.140606773613197874347597089694
absolute error = 4.31870836346e-19
relative error = 1.8662900267526876453471264210720e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 23.186945101509749235393365571835
y[1] (numeric) = 23.186945101509749234960318771397
absolute error = 4.33046800438e-19
relative error = 1.8676319736911070728210612294587e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 23.233376177217622565928341658112
y[1] (numeric) = 23.233376177217622565494116539849
absolute error = 4.34225118263e-19
relative error = 1.8689712375457342332876664098149e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 23.27990018646118260598691656993
y[1] (numeric) = 23.279900186461182605551510775397
absolute error = 4.35405794533e-19
relative error = 1.8703078236830996421298878515091e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 23.326517315336528361829846223879
y[1] (numeric) = 23.326517315336528361393257389905
absolute error = 4.36588833974e-19
relative error = 1.8716417374785525059917833526880e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 23.373227750312237491020275276187
y[1] (numeric) = 23.373227750312237490582501034871
absolute error = 4.37774241316e-19
relative error = 1.8729729842732220676984492070655e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 23.420031678230112176982992178664
y[1] (numeric) = 23.420031678230112176544030157364
absolute error = 4.38962021300e-19
relative error = 1.8743015694040813323250786782371e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 23.466929286305926496462285313985
y[1] (numeric) = 23.466929286305926496022133135306
absolute error = 4.40152178679e-19
relative error = 1.8756274982080838682936694973757e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 23.513920762130175282867871038222
y[1] (numeric) = 23.51392076213017528242652632001
absolute error = 4.41344718212e-19
relative error = 1.8769507759964810670652538974237e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 23.561006293668824488504348012844
y[1] (numeric) = 23.561006293668824488061808368174
absolute error = 4.42539644670e-19
relative error = 1.8782714080803783810702918950316e-18 %
Correct digits = 19
h = 0.001
memory used=91.5MB, alloc=4.4MB, time=4.28
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 23.608186069264063048685627744461
y[1] (numeric) = 23.608186069264063048241890781628
absolute error = 4.43736962833e-19
relative error = 1.8795893997578637049678511413222e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 23.655460277635056250741798792532
y[1] (numeric) = 23.655460277635056250296862115042
absolute error = 4.44936677490e-19
relative error = 1.8809047563139715811268394077244e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 23.702829107878700610931901676986
y[1] (numeric) = 23.702829107878700610485762883548
absolute error = 4.46138793438e-19
relative error = 1.8822174830164291218153259860890e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 23.750292749470380262282123143363
y[1] (numeric) = 23.750292749470380261834779827874
absolute error = 4.47343315489e-19
relative error = 1.8835275851451369324965037911472e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 23.797851392264724856374962146746
y[1] (numeric) = 23.797851392264724855926411898287
absolute error = 4.48550248459e-19
relative error = 1.8848350679456599115881895309862e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 23.845505226496368982120975721716
y[1] (numeric) = 23.845505226496368981671216124541
absolute error = 4.49759597175e-19
relative error = 1.8861399366587603388824490369015e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 23.893254442780713104550780837854
y[1] (numeric) = 23.893254442780713104099809471378
absolute error = 4.50971366476e-19
relative error = 1.8874421965244666247333657660405e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 23.941099232114686026671068423376
y[1] (numeric) = 23.941099232114686026218882862169
absolute error = 4.52185561207e-19
relative error = 1.8887418527568545563388592611711e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 23.9890397858775088774344779976
y[1] (numeric) = 23.989039785877508876981075811371
absolute error = 4.53402186229e-19
relative error = 1.8900389105858275217856681193538e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 24.037076295831460628879285810349
y[1] (numeric) = 24.037076295831460628424664563946
absolute error = 4.54621246403e-19
relative error = 1.8913333751902305039650392608726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 24.085208954122645145500976067794
y[1] (numeric) = 24.085208954122645145045133321186
absolute error = 4.55842746608e-19
relative error = 1.8926252517729300286400781845225e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 24.133437953281759768923893753693
y[1] (numeric) = 24.133437953281759768466827061962
absolute error = 4.57066691731e-19
relative error = 1.8939145455189747401379275180548e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 24.181763486224865440947318757454
y[1] (numeric) = 24.181763486224865440489025670787
absolute error = 4.58293086667e-19
relative error = 1.8952012615956091206898916300462e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 24.230185746254158368046454520143
y[1] (numeric) = 24.230185746254158367586932583822
absolute error = 4.59521936321e-19
relative error = 1.8964854051605417009666401103713e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 24.278704927058743230414990231271
y[1] (numeric) = 24.278704927058743229954236985663
absolute error = 4.60753245608e-19
relative error = 1.8977669813618769483939491840052e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 24.327321222715407938642073777556
y[1] (numeric) = 24.327321222715407938180086758102
absolute error = 4.61987019454e-19
relative error = 1.8990459953421585736105746190818e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 24.376034827689399941122723184568
y[1] (numeric) = 24.376034827689399940659499921773
absolute error = 4.63223262795e-19
relative error = 1.9003224522341595772169341037116e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 24.424845936835204085306907227964
y[1] (numeric) = 24.424845936835204084842445247389
absolute error = 4.64461980575e-19
relative error = 1.9015963571526283445827910736770e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 24.473754745397322035898741247807
y[1] (numeric) = 24.473754745397322035433038070059
absolute error = 4.65703177748e-19
relative error = 1.9028677152024777604409946208443e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 24.522761449011053253123472001957
y[1] (numeric) = 24.522761449011053252656525142676
absolute error = 4.66946859281e-19
relative error = 1.9041365314909544833673996754027e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 24.571866243703277534186165667778
y[1] (numeric) = 24.571866243703277533717972637632
absolute error = 4.68193030146e-19
relative error = 1.9054028110948956792016586487175e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 24.621069325893239121052265870324
y[1] (numeric) = 24.621069325893239120582824174994
absolute error = 4.69441695330e-19
relative error = 1.9066665591014857693882245999658e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 24.670370892393332377686453904679
y[1] (numeric) = 24.670370892393332377215761044853
absolute error = 4.70692859826e-19
relative error = 1.9079277805715102756799595248650e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 24.719771140409889039892521155498
y[1] (numeric) = 24.719771140409889039420574626858
absolute error = 4.71946528640e-19
relative error = 1.9091864805677746006229527483758e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 24.769270267543967040903254122874
y[1] (numeric) = 24.769270267543967040430051416088
absolute error = 4.73202706786e-19
relative error = 1.9104426641347359382493227618345e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 24.81886847179214091587563546586
y[1] (numeric) = 24.818868471792140915401174066571
absolute error = 4.74461399289e-19
relative error = 1.9116963363106122612433588720291e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 24.868565951547293788452980098309
y[1] (numeric) = 24.868565951547293787977257487126
absolute error = 4.75722611183e-19
relative error = 1.9129475021192409453080769421077e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 24.918362905599410942561953641574
y[1] (numeric) = 24.918362905599410942084967294061
absolute error = 4.76986347513e-19
relative error = 1.9141961665780872401795109141545e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.4MB, time=4.46
x[1] = 0.802
y[1] (analytic) = 24.968259533136374982618761480218
y[1] (numeric) = 24.968259533136374982140508866883
absolute error = 4.78252613335e-19
relative error = 1.9154423346981468427889198485204e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 25.018256033744762585325150305723
y[1] (numeric) = 25.018256033744762584845628892009
absolute error = 4.79521413714e-19
relative error = 1.9166860114758552951146341521142e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 25.068352607410642846241230394522
y[1] (numeric) = 25.068352607410642845760437640798
absolute error = 4.80792753724e-19
relative error = 1.9179272018930724032372052642348e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 25.118549454520377224328505976128
y[1] (numeric) = 25.118549454520377223846439337677
absolute error = 4.82066638451e-19
relative error = 1.9191659109290105176248077774392e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 25.16884677586142108766289293005
y[1] (numeric) = 25.168846775861421087179549857058
absolute error = 4.83343072992e-19
relative error = 1.9204021435561274378948071470836e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 25.219244772623126863523907732305
y[1] (numeric) = 25.219244772623126863039285669856
absolute error = 4.84622062449e-19
relative error = 1.9216359047162420334614468005126e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 25.269743646397548796072629079165
y[1] (numeric) = 25.269743646397548795586725467224
absolute error = 4.85903611941e-19
relative error = 1.9228671993681675222437924120269e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 25.32034359918024931483746397296
y[1] (numeric) = 25.320343599180249314350276246365
absolute error = 4.87187726595e-19
relative error = 1.9240960324518376220187198030329e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 25.371044833371107017233193288189
y[1] (numeric) = 25.371044833371107016744718876645
absolute error = 4.88474411544e-19
relative error = 1.9253224088804517758990059551594e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 25.421847551775126268345227971431
y[1] (numeric) = 25.421847551775126267855464299494
absolute error = 4.89763671937e-19
relative error = 1.9265463335799186238168633141280e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 25.47275195760324842121747609152
y[1] (numeric) = 25.472751957603248420726420578589
absolute error = 4.91055512931e-19
relative error = 1.9277678114571638354553383836465e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 25.523758254473164660888702973112
y[1] (numeric) = 25.523758254473164660396353033419
absolute error = 4.92349939693e-19
relative error = 1.9289868474079958112303247578907e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 25.574866646410130475428761642859
y[1] (numeric) = 25.574866646410130474935114685458
absolute error = 4.93646957401e-19
relative error = 1.9302034463209675632138640153183e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 25.626077337847781757232578819076
y[1] (numeric) = 25.626077337847781756737632247833
absolute error = 4.94946571243e-19
relative error = 1.9314176130733878531742093699552e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 25.677390533628952537836302708978
y[1] (numeric) = 25.677390533628952537340053922562
absolute error = 4.96248786416e-19
relative error = 1.9326293525273800400639400049923e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 25.728806439006494359526552968404
y[1] (numeric) = 25.728806439006494359028999360274
absolute error = 4.97553608130e-19
relative error = 1.9338386695454217745655768922210e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 25.780325259644097287020260353506
y[1] (numeric) = 25.780325259644097286521399311899
absolute error = 4.98861041607e-19
relative error = 1.9350455689863040916397518554341e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 25.831947201617112562499143878448
y[1] (numeric) = 25.831947201617112561998972786375
absolute error = 5.00171092073e-19
relative error = 1.9362500556740401556267443487423e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 25.883672471413376907289446713916
y[1] (numeric) = 25.883672471413376906787962949147
absolute error = 5.01483764769e-19
relative error = 1.9374521344405518161079974268849e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 25.935501275934038473484138644425
y[1] (numeric) = 25.935501275934038472981339579479
absolute error = 5.02799064946e-19
relative error = 1.9386518101061543728605332438216e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 25.987433822494384448811392674514
y[1] (numeric) = 25.987433822494384448307275676649
absolute error = 5.04116997865e-19
relative error = 1.9398490874795143818147923798413e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 26.039470318824670318059756361216
y[1] (numeric) = 26.039470318824670317554318792417
absolute error = 5.05437568799e-19
relative error = 1.9410439713652887618912515660443e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 26.091610973070950784377064679151
y[1] (numeric) = 26.091610973070950783870303896122
absolute error = 5.06760783029e-19
relative error = 1.9422364665486765610627454166180e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 26.143855993795912353766780721814
y[1] (numeric) = 26.143855993795912353258694075966
absolute error = 5.08086645848e-19
relative error = 1.9434265778107555680675800421123e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 26.19620558997970758611210333451
y[1] (numeric) = 26.19620558997970758560268817195
absolute error = 5.09415162560e-19
relative error = 1.9446143099245489208435134863738e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 26.248659971020791016064846887714
y[1] (numeric) = 26.248659971020791015554100549236
absolute error = 5.10746338478e-19
relative error = 1.9457996676473288621066183055364e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 26.301219346736756747142777860936
y[1] (numeric) = 26.301219346736756746630697682008
absolute error = 5.12080178928e-19
relative error = 1.9469826557358253435789838307993e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 26.353883927365177722385785743225
y[1] (numeric) = 26.35388392736517772187236905398
absolute error = 5.13416689245e-19
relative error = 1.9481632789308966197513749472505e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 26.406653923564446674927971994026
y[1] (numeric) = 26.406653923564446674413216119252
absolute error = 5.14755874774e-19
relative error = 1.9493415419613177564776830736203e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=99.1MB, alloc=4.4MB, time=4.64
x[1] = 0.831
y[1] (analytic) = 26.459529546414618761849460474016
y[1] (numeric) = 26.459529546414618761333362733143
absolute error = 5.16097740873e-19
relative error = 1.9505174495550828366228467362241e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 26.512511007418255884678465876665
y[1] (numeric) = 26.512511007418255884161023583756
absolute error = 5.17442292909e-19
relative error = 1.9516910064241692047395989481146e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 26.565598518501272699920903294564
y[1] (numeric) = 26.565598518501272699402113758305
absolute error = 5.18789536259e-19
relative error = 1.9528622172683052321575552231798e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 26.618792292013784323001582166974
y[1] (numeric) = 26.618792292013784322481442690659
absolute error = 5.20139476315e-19
relative error = 1.9540310867937203033322539260421e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 26.672092540730955729007801503628
y[1] (numeric) = 26.672092540730955728486309385154
absolute error = 5.21492118474e-19
relative error = 1.9551976196754316262040018646004e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 26.725499477853852853632950491728
y[1] (numeric) = 26.72549947785385285311010302358
absolute error = 5.22847468148e-19
relative error = 1.9563618205948171988488879908467e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 26.779013317010295397724519395314
y[1] (numeric) = 26.779013317010295397200313864556
absolute error = 5.24205530758e-19
relative error = 1.9575236942169913225788648868217e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 26.832634272255711338847740076138
y[1] (numeric) = 26.832634272255711338322173764402
absolute error = 5.25566311736e-19
relative error = 1.9586832451982649109686234880056e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 26.886362558073993153282903529951
y[1] (numeric) = 26.886362558073993152755973713426
absolute error = 5.26929816525e-19
relative error = 1.9598404781860780716727675756188e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 26.940198389378355751881243569099
y[1] (numeric) = 26.94019838937835575135294751852
absolute error = 5.28296050579e-19
relative error = 1.9609953978189334896594832597964e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 26.994141981512196133211131218878
y[1] (numeric) = 26.994141981512196132681466199514
absolute error = 5.29665019364e-19
relative error = 1.9621480087300351143967169709001e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 27.048193550249954757433193558633
y[1] (numeric) = 27.048193550249954756902156830278
absolute error = 5.31036728355e-19
relative error = 1.9632983155360948031137989958222e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 27.102353311797978644349853656575
y[1] (numeric) = 27.102353311797978643817442473536
absolute error = 5.32411183039e-19
relative error = 1.9644463228484112571531877274135e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 27.156621482795386199081684947267
y[1] (numeric) = 27.156621482795386198547896558354
absolute error = 5.33788388913e-19
relative error = 1.9655920352654048610907768438436e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 27.210998280314933768829883910307
y[1] (numeric) = 27.21099828031493376829471555882
absolute error = 5.35168351487e-19
relative error = 1.9667354573836167465339611217172e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 27.2654839218638839341910892555
y[1] (numeric) = 27.26548392186388393365453817922
absolute error = 5.36551076280e-19
relative error = 1.9678765937829027328108161169658e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 27.320078625384875538497714031523
y[1] (numeric) = 27.320078625384875537959777462699
absolute error = 5.37936568824e-19
relative error = 1.9690154490410868690807068821122e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 27.374782609256795458663909179443
y[1] (numeric) = 27.374782609256795458124584344783
absolute error = 5.39324834660e-19
relative error = 1.9701520277192157740434903511311e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 27.429596092295652121024243077318
y[1] (numeric) = 27.429596092295652120483527197976
absolute error = 5.40715879342e-19
relative error = 1.9712863343761549477976026090016e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 27.484519293755450765659161595269
y[1] (numeric) = 27.484519293755450765117051886836
absolute error = 5.42109708433e-19
relative error = 1.9724183735539032565279694875422e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 27.539552433329070462708287129898
y[1] (numeric) = 27.539552433329070462164780802389
absolute error = 5.43506327509e-19
relative error = 1.9735481497921322299352423571174e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 27.594695731149142884179623040593
y[1] (numeric) = 27.594695731149142883634717298436
absolute error = 5.44905742157e-19
relative error = 1.9746756676208082076935769782520e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 27.649949407788932834769751896238
y[1] (numeric) = 27.649949407788932834223443938265
absolute error = 5.46307957973e-19
relative error = 1.9758009315529025615236364272296e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 27.705313684263220545217151987167
y[1] (numeric) = 27.705313684263220544669439006599
absolute error = 5.47712980568e-19
relative error = 1.9769239461060647055135186339814e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 27.760788782029185731717806692002
y[1] (numeric) = 27.760788782029185731168685876441
absolute error = 5.49120815561e-19
relative error = 1.9780447157772071016076181910391e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 27.816374922987293424939345540584
y[1] (numeric) = 27.816374922987293424388814072002
absolute error = 5.50531468582e-19
relative error = 1.9791632450533442353807088414133e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 27.872072329482181572177034210648
y[1] (numeric) = 27.872072329482181571625089265372
absolute error = 5.51944945276e-19
relative error = 1.9802795384258901726679640407909e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 27.927881224303550416202023265672
y[1] (numeric) = 27.927881224303550415648662014377
absolute error = 5.53361251295e-19
relative error = 1.9813936003618169479776553316811e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 27.98380183068705365435937221275
y[1] (numeric) = 27.983801830687053653804591820444
absolute error = 5.54780392306e-19
relative error = 1.9825054353323339123956196882508e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=103.0MB, alloc=4.4MB, time=4.81
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 28.039834372315191381480486460772
y[1] (numeric) = 28.039834372315191380924284086788
absolute error = 5.56202373984e-19
relative error = 1.9836150477877288380425924357111e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 28.095979073318204820181740019278
y[1] (numeric) = 28.095979073318204819624112817259
absolute error = 5.57627202019e-19
relative error = 1.9847224421823390981629061838099e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 28.152236158274972842128206325423
y[1] (numeric) = 28.152236158274972841569151443315
absolute error = 5.59054882108e-19
relative error = 1.9858276229459424434024689219683e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 28.208605852213910283848583449365
y[1] (numeric) = 28.208605852213910283288098029403
absolute error = 5.60485419962e-19
relative error = 1.9869305945086653023486407477663e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 28.265088380613868060694578135506
y[1] (numeric) = 28.265088380613868060132659314202
absolute error = 5.61918821304e-19
relative error = 1.9880313612937519866209808844616e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 28.321683969405035082545205717294
y[1] (numeric) = 28.321683969405035081981850625426
absolute error = 5.63355091868e-19
relative error = 1.9891299277139509202442806485313e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 28.378392844969841974863669925328
y[1] (numeric) = 28.378392844969841974298875687929
absolute error = 5.64794237399e-19
relative error = 1.9902262981714679020515631417576e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 28.435215234143866608721708021252
y[1] (numeric) = 28.435215234143866608155471757599
absolute error = 5.66236263653e-19
relative error = 1.9913204770579200419105075680209e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 28.492151364216741443413522562194
y[1] (numeric) = 28.492151364216741442845841385796
absolute error = 5.67681176398e-19
relative error = 1.9924124687578001049414309323308e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 28.54920146293306268528867146126
y[1] (numeric) = 28.549201462933062684719542479848
absolute error = 5.69128981412e-19
relative error = 1.9935022776413912649034232656227e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 28.606365758493301266440552887867
y[1] (numeric) = 28.606365758493301265869973203377
absolute error = 5.70579684490e-19
relative error = 1.9945899080892282518479723941689e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 28.663644479554715646894400976472
y[1] (numeric) = 28.66364447955471564632236768504
absolute error = 5.72033291432e-19
relative error = 1.9956753644499794958965347064777e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 28.72103785523226644394600231278
y[1] (numeric) = 28.721037855232266443372512504727
absolute error = 5.73489808053e-19
relative error = 1.9967586510754320360787078170964e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 28.778546115099532892309651771776
y[1] (numeric) = 28.778546115099532891734702531596
absolute error = 5.74949240180e-19
relative error = 1.9978397723098858230521399958019e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 28.836169489189631138741189521362
y[1] (numeric) = 28.836169489189631138164777927712
absolute error = 5.76411593650e-19
relative error = 1.9989187324831423543207669253190e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 28.893908207996134374809298908143
y[1] (numeric) = 28.89390820799613437423142203383
absolute error = 5.77876874313e-19
relative error = 1.9999955359208819991252650791936e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 28.951762502473994811495597537392
y[1] (numeric) = 28.951762502473994810916252449363
absolute error = 5.79345088029e-19
relative error = 2.0010701869341931338406869264561e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 29.00973260404046749931142117686
y[1] (numeric) = 29.009732604040467498730604936189
absolute error = 5.80816240671e-19
relative error = 2.0021426898299092744053181691836e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 29.067818744576035997626582183331
y[1] (numeric) = 29.067818744576035997044291845206
absolute error = 5.82290338125e-19
relative error = 2.0032130489105019435410943349358e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 29.126021156425339896912781001167
y[1] (numeric) = 29.126021156425339896329013614881
absolute error = 5.83767386286e-19
relative error = 2.0042812684602411476696828602437e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 29.184340072398104197611760943208
y[1] (numeric) = 29.184340072398104197026513552146
absolute error = 5.85247391062e-19
relative error = 2.0053473527589335034663735279079e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 29.2427757257700705493457229658
y[1] (numeric) = 29.242775725770070548758992607426
absolute error = 5.86730358374e-19
relative error = 2.0064113060818176398783739324317e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 29.301328350283930354194958521268
y[1] (numeric) = 29.301328350283930353606742227114
absolute error = 5.88216294154e-19
relative error = 2.0074731326926349891027284154138e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 29.359998180150259737775114842506
y[1] (numeric) = 29.359998180150259737185409638161
absolute error = 5.89705204345e-19
relative error = 2.0085328368435954168244833940598e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 29.418785450048456391853978215374
y[1] (numeric) = 29.41878545004845639126278112047
absolute error = 5.91197094904e-19
relative error = 2.0095904227855410155624729256972e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 29.477690395127678292255146955145
y[1] (numeric) = 29.477690395127678291662454983349
absolute error = 5.92691971796e-19
relative error = 2.0106458947474566609725335228138e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 29.536713251007784295803466953348
y[1] (numeric) = 29.536713251007784295209277112345
absolute error = 5.94189841003e-19
relative error = 2.0116992569670100677484534961780e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 29.59585425378027662007461883084
y[1] (numeric) = 29.595854253780276619478928122324
absolute error = 5.95690708516e-19
relative error = 2.0127505136632860087542666641775e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 29.655113640009245209718776952125
y[1] (numeric) = 29.655113640009245209121582371789
absolute error = 5.97194580336e-19
relative error = 2.0137996690401953219332906854625e-18 %
Correct digits = 19
h = 0.001
memory used=106.8MB, alloc=4.4MB, time=5.00
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 29.714491646732313993135806854706
y[1] (numeric) = 29.714491646732313992537105392224
absolute error = 5.98701462482e-19
relative error = 2.0148467273134011854050384119687e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 29.773988511461589033287029055918
y[1] (numeric) = 29.773988511461589032686817694938
absolute error = 6.00211360980e-19
relative error = 2.0158916926731088743103218899547e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 29.833604472184608576436153748522
y[1] (numeric) = 29.833604472184608575834429466653
absolute error = 6.01724281869e-19
relative error = 2.0169345693042831790880581799342e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 29.893339767365295002619582615516
y[1] (numeric) = 29.893339767365295002016342384313
absolute error = 6.03240231203e-19
relative error = 2.0179753613932435415279573008993e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 29.953194635944908681653880914638
y[1] (numeric) = 29.953194635944908681049121699597
absolute error = 6.04759215041e-19
relative error = 2.0190140730941174306548889802905e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 30.013169317343003738495845134276
y[1] (numeric) = 30.013169317343003737889563894812
absolute error = 6.06281239464e-19
relative error = 2.0200507085856558643757688507793e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 30.07326405145838573177822893537
y[1] (numeric) = 30.073264051458385731170422624812
absolute error = 6.07806310558e-19
relative error = 2.0210852720143119308855736533422e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 30.133479078670071249351842799164
y[1] (numeric) = 30.133479078670071248742508364741
absolute error = 6.09334434423e-19
relative error = 2.0221177675242825813204112082229e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 30.193814639838249424672410828629
y[1] (numeric) = 30.193814639838249424061545211456
absolute error = 6.10865617173e-19
relative error = 2.0231481992573842397146960135119e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 30.254270976305245377878251533021
y[1] (numeric) = 30.25427097630524537726585166809
absolute error = 6.12399864931e-19
relative error = 2.0241765713364029551286754532061e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 30.314848329896485585412548190892
y[1] (numeric) = 30.314848329896485584798611007058
absolute error = 6.13937183834e-19
relative error = 2.0252028878816309648137330407348e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 30.37554694292146518205168856778
y[1] (numeric) = 30.375546942921465181436210987747
absolute error = 6.15477580033e-19
relative error = 2.0262271530107450279725362913700e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 30.436367058174717199208883391682
y[1] (numeric) = 30.436367058174717198591862331995
absolute error = 6.17021059687e-19
relative error = 2.0272493708189726178663874767818e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 30.497308918936783743390018093109
y[1] (numeric) = 30.497308918936783742771450464136
absolute error = 6.18567628973e-19
relative error = 2.0282695454119592252033014128003e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 30.558372768975189118686452928011
y[1] (numeric) = 30.558372768975189118066335633936
absolute error = 6.20117294075e-19
relative error = 2.0292876808695215120471422404659e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 30.619558852545414897197262752299
y[1] (numeric) = 30.619558852545414896575592691107
absolute error = 6.21670061192e-19
relative error = 2.0303037812718857805919894569252e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 30.680867414391876941281199436996
y[1] (numeric) = 30.68086741439187694065797350046
absolute error = 6.23225936536e-19
relative error = 2.0313178506930193070160151055479e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 30.742298699748904381546467234569
y[1] (numeric) = 30.742298699748904380921682308239
absolute error = 6.24784926330e-19
relative error = 2.0323298931940411187089649852809e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 30.803852954341720554494224360853
y[1] (numeric) = 30.803852954341720553867877324044
absolute error = 6.26347036809e-19
relative error = 2.0333399128264507023692925605867e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 30.865530424387425903739562674484
y[1] (numeric) = 30.865530424387425903111650400261
absolute error = 6.27912274223e-19
relative error = 2.0343479136417980036926072236688e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 30.927331356595982848741571648294
y[1] (numeric) = 30.927331356595982848112091003462
absolute error = 6.29480644832e-19
relative error = 2.0353538996753704902709616661408e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 30.98925599817120262498196286609
y[1] (numeric) = 30.98925599817120262435091071118
absolute error = 6.31052154910e-19
relative error = 2.0363578749591176353611891367622e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 31.051304596811734099539617075092
y[1] (numeric) = 31.05130459681173409890699026435
absolute error = 6.32626810742e-19
relative error = 2.0373598435118775948639601205202e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 31.113477400712054566016317410654
y[1] (numeric) = 31.113477400712054565382112792025
absolute error = 6.34204618629e-19
relative error = 2.0383598093554331085654962368195e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 31.175774658563462522776849817236
y[1] (numeric) = 31.175774658563462522141064232356
absolute error = 6.35785584880e-19
relative error = 2.0393577764886761558146461090853e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 31.238196619555072438474584949764
y[1] (numeric) = 31.238196619555072437837215233945
absolute error = 6.37369715819e-19
relative error = 2.0403537489100998435981996741514e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 31.300743533374811508841604984034
y[1] (numeric) = 31.300743533374811508202647966252
absolute error = 6.38957017782e-19
relative error = 2.0413477306080733918334553267178e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 31.363415650210418408730403825696
y[1] (numeric) = 31.363415650210418408089856328575
absolute error = 6.40547497121e-19
relative error = 2.0423397255735522583254711129643e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.4MB, time=5.18
x[1] = 0.917
y[1] (analytic) = 31.426213220750444043402170216266
y[1] (numeric) = 31.426213220750444042760029056069
absolute error = 6.42141160197e-19
relative error = 2.0433297377776333743584985646906e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 31.489136496185254303064660223658
y[1] (numeric) = 31.489136496185254302420922210277
absolute error = 6.43738013381e-19
relative error = 2.0443177711747844346496276108641e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 31.552185728208034824670678605726
y[1] (numeric) = 31.55218572820803482402534054266
absolute error = 6.45338063066e-19
relative error = 2.0453038297408980558718136354692e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 31.615361169015797764996217580394
y[1] (numeric) = 31.615361169015797764349276264747
absolute error = 6.46941315647e-19
relative error = 2.0462879174096735818430580993868e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 31.678663071310390589025346657355
y[1] (numeric) = 31.678663071310390588376798879814
absolute error = 6.48547777541e-19
relative error = 2.0472700381360278348650963625145e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 31.742091688299506877677008415878
y[1] (numeric) = 31.742091688299506877026850960706
absolute error = 6.50157455172e-19
relative error = 2.0482501958484839651988626560603e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 31.80564727369769915891695248371
y[1] (numeric) = 31.805647273697699158265182128731
absolute error = 6.51770354979e-19
relative error = 2.0492283944744435911403828196488e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 31.869330081727393766306133515214
y[1] (numeric) = 31.8693300817273937656527470318
absolute error = 6.53386483414e-19
relative error = 2.0502046379337789107608774321625e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 31.933140367119907729045008715493
y[1] (numeric) = 31.933140367119907728390002868552
absolute error = 6.55005846941e-19
relative error = 2.0511789301356327762583083528939e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 31.997078385116467697581296443544
y[1] (numeric) = 31.997078385116467696924667991507
absolute error = 6.56628452037e-19
relative error = 2.0521512749815076801086000728985e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 32.061144391469230908856899684045
y[1] (numeric) = 32.061144391469230908198645378851
absolute error = 6.58254305194e-19
relative error = 2.0531216763714369140592923258939e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 32.125338642442308195277856736743
y[1] (numeric) = 32.125338642442308194617973323829
absolute error = 6.59883412914e-19
relative error = 2.0540901381882920696789675628582e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 32.189661394812789041499356367281
y[1] (numeric) = 32.189661394812789040837840585567
absolute error = 6.61515781714e-19
relative error = 2.0550566643133441735881682022516e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 32.254112905871768693126045926246
y[1] (numeric) = 32.254112905871768692462894508123
absolute error = 6.63151418123e-19
relative error = 2.0560212586168357692222269781797e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 32.318693433425377321436068607162
y[1] (numeric) = 32.318693433425377320771278278477
absolute error = 6.64790328685e-19
relative error = 2.0569839249672307657042154117760e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 32.383403235795811248245490111785
y[1] (numeric) = 32.383403235795811247579057591832
absolute error = 6.66432519953e-19
relative error = 2.0579446672125615609518695367751e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 32.448242571822366235038015555392
y[1] (numeric) = 32.448242571822366234369937556894
absolute error = 6.68077998498e-19
relative error = 2.0589034892082269033673884436646e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 32.51321170086247284049315450863
y[1] (numeric) = 32.513211700862472839823427737728
absolute error = 6.69726770902e-19
relative error = 2.0598603947952464614340635294749e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 32.57831088279273385055426566907
y[1] (numeric) = 32.578310882792733849882886825311
absolute error = 6.71378843759e-19
relative error = 2.0608153878033314140545312396335e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 32.643540378009963785186202817896
y[1] (numeric) = 32.643540378009963784513168594219
absolute error = 6.73034223677e-19
relative error = 2.0617684720569820106612683120210e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.937
y[1] (analytic) = 32.708900447432230485980590478302
y[1] (numeric) = 32.708900447432230485305897561025
absolute error = 6.74692917277e-19
relative error = 2.0627196513723404186386412262183e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 32.774391352499898788775081085503
y[1] (numeric) = 32.774391352499898788098726154306
absolute error = 6.76354931197e-19
relative error = 2.0636689295693369616927103182788e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 32.840013355176676285461285536929
y[1] (numeric) = 32.840013355176676284783265264847
absolute error = 6.78020272082e-19
relative error = 2.0646163104410598452805802518152e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 32.905766717950661179164425748703
y[1] (numeric) = 32.905766717950661178484736802108
absolute error = 6.79688946595e-19
relative error = 2.0655617977873100286489982992799e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 32.971651703835392236986131334128
y[1] (numeric) = 32.971651703835392236304770372718
absolute error = 6.81360961410e-19
relative error = 2.0665053953931625830203437560593e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 33.037668576370900844510192775319
y[1] (numeric) = 33.037668576370900843827156452104
absolute error = 6.83036323215e-19
relative error = 2.0674471070380526999696551267958e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 33.103817599624765166279490513732
y[1] (numeric) = 33.103817599624765165594775475021
absolute error = 6.84715038711e-19
relative error = 2.0683869364926699822133052423390e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 33.170099038193166416460743272851
y[1] (numeric) = 33.170099038193166415774346158237
absolute error = 6.86397114614e-19
relative error = 2.0693248875249341342344585929778e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 33.236513157201947243922159680384
y[1] (numeric) = 33.236513157201947243234077122733
absolute error = 6.88082557651e-19
relative error = 2.0702609638878466334224439902910e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=114.4MB, alloc=4.4MB, time=5.36
x[1] = 0.946
y[1] (analytic) = 33.303060222307672235957534911769
y[1] (numeric) = 33.303060222307672235267763537203
absolute error = 6.89771374566e-19
relative error = 2.0711951693375150258930304257524e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 33.369740499698690544898808665358
y[1] (numeric) = 33.369740499698690544207345093246
absolute error = 6.91463572112e-19
relative error = 2.0721275076090073763150138885165e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 33.436554256096200641867592336376
y[1] (numeric) = 33.436554256096200641174433179317
absolute error = 6.93159157059e-19
relative error = 2.0730579824403473810947017165406e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 33.503501758755317201924681815404
y[1] (numeric) = 33.503501758755317201229823679216
absolute error = 6.94858136188e-19
relative error = 2.0739865975544359170118808548060e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 33.570583275466140124885097931983
y[1] (numeric) = 33.570583275466140124188537415686
absolute error = 6.96560516297e-19
relative error = 2.0749133566769342832871245697535e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 33.637799074554825696074739228829
y[1] (numeric) = 33.637799074554825695376472924636
absolute error = 6.98266304193e-19
relative error = 2.0758382635123136353421040899970e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 33.705149424884659891313291521516
y[1] (numeric) = 33.705149424884659890613316014816
absolute error = 6.99975506700e-19
relative error = 2.0767613217676614372870128413184e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 33.772634595857133830416615606318
y[1] (numeric) = 33.772634595857133829714927475661
absolute error = 7.01688130657e-19
relative error = 2.0776825351465935288919705231546e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 33.8402548574130213835204285597
y[1] (numeric) = 33.840254857413021382817024376788
absolute error = 7.03404182912e-19
relative error = 2.0786019073314183274575973730888e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 33.90801048003345893453570536101
y[1] (numeric) = 33.90801048003345893383058169068
absolute error = 7.05123670330e-19
relative error = 2.0795194420068027976828727181706e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 33.975901734741027306054856099638
y[1] (numeric) = 33.975901734741027305348009499849
absolute error = 7.06846599789e-19
relative error = 2.0804351428478363502519546727848e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 34.043928893100835850036379833936
y[1] (numeric) = 34.043928893100835849327806855756
absolute error = 7.08572978180e-19
relative error = 2.0813490135199867750175931936928e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 34.112092227221608708604359285966
y[1] (numeric) = 34.112092227221608707894056473555
absolute error = 7.10302812411e-19
relative error = 2.0822610576907828672665483978452e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 34.180392009756773249307841018385
y[1] (numeric) = 34.180392009756773248595804908987
absolute error = 7.12036109398e-19
relative error = 2.0831712790033236070345235151427e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 34.248828513905550679193843582272
y[1] (numeric) = 34.248828513905550678480070706196
absolute error = 7.13772876076e-19
relative error = 2.0840796811085005250578892524742e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 34.31740201341404884205645138204
y[1] (numeric) = 34.317402013414048841340938262647
absolute error = 7.15513119393e-19
relative error = 2.0849862676472972042219912368930e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 34.386112782576357203233184710897
y[1] (numeric) = 34.386112782576357202515927864589
absolute error = 7.17256846308e-19
relative error = 2.0858910422449326820405052046341e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 34.454961096235644026328586602316
y[1] (numeric) = 34.454961096235644025609582538519
absolute error = 7.19004063797e-19
relative error = 2.0867940085282939266422563930217e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 34.523947229785255746253734854748
y[1] (numeric) = 34.5239472297852557455329800759
absolute error = 7.20754778848e-19
relative error = 2.0876951701112978598813375814891e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 34.593071459169818542979172853474
y[1] (numeric) = 34.593071459169818542256663855011
absolute error = 7.22508998463e-19
relative error = 2.0885945306006635945746053002381e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 34.66233406088634212040755567008
y[1] (numeric) = 34.662334060886342119683288940418
absolute error = 7.24266729662e-19
relative error = 2.0894920936073857441548529961150e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 34.731735311985325694781128401828
y[1] (numeric) = 34.731735311985325694055100422353
absolute error = 7.26027979475e-19
relative error = 2.0903878627235196231856919084521e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 34.801275490071866197047991855517
y[1] (numeric) = 34.801275490071866196320199100572
absolute error = 7.27792754945e-19
relative error = 2.0912818415308521074867551213676e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 34.870954873306768693619966518482
y[1] (numeric) = 34.870954873306768692890405455349
absolute error = 7.29561063133e-19
relative error = 2.0921740336152046530992121866339e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 34.940773740407659029963739328742
y[1] (numeric) = 34.940773740407659029232406417631
absolute error = 7.31332911111e-19
relative error = 2.0930644425462211696202699107573e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 35.010732370650098701475869092431
y[1] (numeric) = 35.010732370650098700742760786464
absolute error = 7.33108305967e-19
relative error = 2.0939530718916727370079809728082e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 35.080831043868701956101135535006
y[1] (numeric) = 35.080831043868701955366248280203
absolute error = 7.34887254803e-19
relative error = 2.0948399252116374231599440989318e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 35.151070040458255133162643949112
y[1] (numeric) = 35.151070040458255132425974184378
absolute error = 7.36669764734e-19
relative error = 2.0957250060555944105273021380481e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 35.22144964137483824288104225197
y[1] (numeric) = 35.22144964137483824214258640908
absolute error = 7.38455842890e-19
relative error = 2.0966083179680705130714489356752e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=118.2MB, alloc=4.4MB, time=5.54
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 35.291970128136948791069170024601
y[1] (numeric) = 35.291970128136948790328924528184
absolute error = 7.40245496417e-19
relative error = 2.0974898644913856790618574297749e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 35.362631782826627853497439809898
y[1] (numeric) = 35.362631782826627852755401077427
absolute error = 7.42038732471e-19
relative error = 2.0983696491485705225637196685596e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 35.433434888090588404434249632534
y[1] (numeric) = 35.433434888090588403690414074306
absolute error = 7.43835558228e-19
relative error = 2.0992476754716434394630602864710e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 35.50437972714134590387474240676
y[1] (numeric) = 35.504379727141345903129106425888
absolute error = 7.45635980872e-19
relative error = 2.1001239469675852276428328624496e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 35.575466583758351147980262654614
y[1] (numeric) = 35.575466583758351147232822647007
absolute error = 7.47440007607e-19
relative error = 2.1009984671521828849918015972199e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 35.646695742289125387259913802802
y[1] (numeric) = 35.646695742289125386510666157154
absolute error = 7.49247645648e-19
relative error = 2.1018712395245572117325473300607e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 35.718067487650397717034690298003
y[1] (numeric) = 35.718067487650397716283631395777
absolute error = 7.51058902226e-19
relative error = 2.1027422675811906875479286399499e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 35.789582105329244744733747913622
y[1] (numeric) = 35.789582105329244743980874129036
absolute error = 7.52873784586e-19
relative error = 2.1036115548102289570060780012300e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 35.861239881384232538581482952644
y[1] (numeric) = 35.861239881384232537826790652656
absolute error = 7.54692299988e-19
relative error = 2.1044791046942159308998615427815e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 35.933041102446560862243216617498
y[1] (numeric) = 35.933041102446560861486702161793
absolute error = 7.56514455705e-19
relative error = 2.1053449207044472925360595464451e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 36.004986055721209700006424655318
y[1] (numeric) = 36.004986055721209699248084396292
absolute error = 7.58340259026e-19
relative error = 2.1062090063092785617913734096665e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 36.077075028988088077083614532216
y[1] (numeric) = 36.077075028988088076323444814961
absolute error = 7.60169717255e-19
relative error = 2.1070713649712464130618326075261e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 36.149308310603185179632132879838
y[1] (numeric) = 36.14930831060318517887013004213
absolute error = 7.62002837708e-19
relative error = 2.1079320001386916345632291334935e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 36.221686189499723779095384828266
y[1] (numeric) = 36.221686189499723778331545200547
absolute error = 7.63839627719e-19
relative error = 2.1087909152623294246966536023911e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 36.294208955189315965479164128031
y[1] (numeric) = 36.294208955189315964713484033395
absolute error = 7.65680094636e-19
relative error = 2.1096481137840688317742582277639e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 36.366876897763121194186028707541
y[1] (numeric) = 36.366876897763121193418504461721
absolute error = 7.67524245820e-19
relative error = 2.1105035991342149254091552486128e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 36.439690307893006651039910547495
y[1] (numeric) = 36.439690307893006650270538458848
absolute error = 7.69372088647e-19
relative error = 2.1113573747369373827658241221023e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 36.512649476832709940142421517866
y[1] (numeric) = 36.512649476832709939371197887358
absolute error = 7.71223630508e-19
relative error = 2.1122094440101962158773145524725e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 36.585754696419004099211608152934
y[1] (numeric) = 36.585754696419004098438529274123
absolute error = 7.73078878811e-19
relative error = 2.1130598103711349302590642141506e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 36.659006259072864947063218272733
y[1] (numeric) = 36.659006259072864946288280431758
absolute error = 7.74937840975e-19
relative error = 2.1139084772195862203911932423570e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 36.732404457800640767903870932458
y[1] (numeric) = 36.732404457800640767127070408022
absolute error = 7.76800524436e-19
relative error = 2.1147554479544437347209856681589e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 36.805949586195224337114868432078
y[1] (numeric) = 36.80594958619522433633620149543
absolute error = 7.78666936648e-19
relative error = 2.1156007259762533993781021507827e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 36.879641938437227293214755084098
y[1] (numeric) = 36.879641938437227292434217999026
absolute error = 7.80537085072e-19
relative error = 2.1164443146572350211482863918052e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 36.953481809296156860698112155565
y[1] (numeric) = 36.953481809296156859915701178374
absolute error = 7.82410977191e-19
relative error = 2.1172862173820215015360897963521e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 37.02746949413159492845748190842
y[1] (numeric) = 37.02746949413159492767319328792
absolute error = 7.84288620500e-19
relative error = 2.1181264375203934454152467392782e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 37.101605288894379488504735998032
y[1] (numeric) = 37.101605288894379487718565975522
absolute error = 7.86170022510e-19
relative error = 2.1189649784380737004843828443908e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 37.175889490127788439717644690619
y[1] (numeric) = 37.175889490127788438929589499872
absolute error = 7.88055190747e-19
relative error = 2.1198018434939433598447928389821e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 37.250322394968725761346863464246
y[1] (numeric) = 37.250322394968725760556919331495
absolute error = 7.89944132751e-19
relative error = 2.1206370360372909548011902607187e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 37.324904301148910061028032602912
y[1] (numeric) = 37.324904301148910060236195746834
absolute error = 7.91836856078e-19
relative error = 2.1214705594131321357497890193367e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=122.0MB, alloc=4.4MB, time=5.72
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 37.399635506996065502053183416851
y[1] (numeric) = 37.399635506996065501259450048551
absolute error = 7.93733368300e-19
relative error = 2.1223024169621180740054868932472e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 37.474516311435115114665161762574
y[1] (numeric) = 37.474516311435115113869528085574
absolute error = 7.95633677000e-19
relative error = 2.1231326120071023886170629231097e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 37.549547013989376496148315631442
y[1] (numeric) = 37.54954701398937649535077784166
absolute error = 7.97537789782e-19
relative error = 2.1239611478798161756550059770544e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 37.624727914781759904498248763762
y[1] (numeric) = 37.624727914781759903698803049501
absolute error = 7.99445714261e-19
relative error = 2.1247880278940673355332775414433e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 37.700059314535968750463016564908
y[1] (numeric) = 37.700059314535968749661659106838
absolute error = 8.01357458070e-19
relative error = 2.1256132553643530248891094030301e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 37.77554151457770249275773408888
y[1] (numeric) = 37.775541514577702491954461060025
absolute error = 8.03273028855e-19
relative error = 2.1264368335924830215934031618577e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 37.851174816835861941264178551616
y[1] (numeric) = 37.851174816835861940458986117337
absolute error = 8.05192434279e-19
relative error = 2.1272587658781403293282091642219e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 37.926959523843756973036600779519
y[1] (numeric) = 37.926959523843756972229485097501
absolute error = 8.07115682018e-19
relative error = 2.1280790555082223287910194972720e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 38.002895938740316665944611226752
y[1] (numeric) = 38.002895938740316665135568446985
absolute error = 8.09042779767e-19
relative error = 2.1288977057726232049849021605135e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 38.078984365271301854793676746336
y[1] (numeric) = 38.078984365271301853982703011103
absolute error = 8.10973735233e-19
relative error = 2.1297147199456879329060156522099e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 38.155225107790520114773454213804
y[1] (numeric) = 38.155225107790520113960545657662
absolute error = 8.12908556142e-19
relative error = 2.1305301013045802314151815233910e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 38.231618471261043177093896416692
y[1] (numeric) = 38.231618471261043176279049166462
absolute error = 8.14847250230e-19
relative error = 2.1313438531055806326684184377927e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 38.30816476125642678167879437755
y[1] (numeric) = 38.308164761256426780862004552298
absolute error = 8.16789825252e-19
relative error = 2.1321559786076554956782216536877e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 38.384864283961932971796168511084
y[1] (numeric) = 38.384864283961932970977432222102
absolute error = 8.18736288982e-19
relative error = 2.1329664810722975355770520966304e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 38.461717346175754835514688766718
y[1] (numeric) = 38.461717346175754834694002117515
absolute error = 8.20686649203e-19
relative error = 2.1337753637373678041672394263097e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 38.538724255310243698885091215277
y[1] (numeric) = 38.53872425531024369806245030156
absolute error = 8.22640913717e-19
relative error = 2.1345826298431465603100721196205e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 38.61588531939313877575536544168
y[1] (numeric) = 38.615885319393138774930766351339
absolute error = 8.24599090341e-19
relative error = 2.1353882826218182985692978112236e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 38.693200847068799279138313643943
y[1] (numeric) = 38.693200847068799278311752457035
absolute error = 8.26561186908e-19
relative error = 2.1361923253000044446780001925033e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 38.770671147599438999059928551543
y[1] (numeric) = 38.770671147599438998231401340276
absolute error = 8.28527211267e-19
relative error = 2.1369947610986864817971238983785e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 38.848296530866363351826903202754
y[1] (numeric) = 38.848296530866363350996406031474
absolute error = 8.30497171280e-19
relative error = 2.1377955932254075657492530208538e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 38.926077307371208905661471300403
y[1] (numeric) = 38.926077307371208904829000225574
absolute error = 8.32471074829e-19
relative error = 2.1385948248922572730222846889247e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 39.004013788237185387661682338088
y[1] (numeric) = 39.004013788237185386827233408279
absolute error = 8.34448929809e-19
relative error = 2.1393924592977473739319093442509e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 39.082106285210320177055140993994
y[1] (numeric) = 39.082106285210320176218710249864
absolute error = 8.36430744130e-19
relative error = 2.1401884996319326491956505708368e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 39.160355110660705289724185466574
y[1] (numeric) = 39.160355110660705288885768940853
absolute error = 8.38416525721e-19
relative error = 2.1409829490865779138316197847551e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 39.238760577583746858990444515452
y[1] (numeric) = 39.238760577583746858150038232927
absolute error = 8.40406282525e-19
relative error = 2.1417758108422667342640595341121e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 39.31732299960141711765669801176
y[1] (numeric) = 39.31732299960141711681429798926
absolute error = 8.42400022500e-19
relative error = 2.1425670880709246294712690510616e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 39.396042690963508886313970834658
y[1] (numeric) = 39.396042690963508885469573081037
absolute error = 8.44397753621e-19
relative error = 2.1433567839408506004980079594283e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 39.47491996654889257293181501506
y[1] (numeric) = 39.47491996654889257208541553118
absolute error = 8.46399483880e-19
relative error = 2.1441449016166219321832232898795e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=125.8MB, alloc=4.4MB, time=5.90
x[1] = 1.032
y[1] (analytic) = 39.553955141866775688759780163697
y[1] (numeric) = 39.553955141866775687911374942413
absolute error = 8.48405221284e-19
relative error = 2.1449314442539435545764826012886e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 39.633148533057964885578137468755
y[1] (numeric) = 39.6331485330579648847277224949
absolute error = 8.50414973855e-19
relative error = 2.1457164149996052445476150722683e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 39.712500456896130519346007948698
y[1] (numeric) = 39.712500456896130518493579199066
absolute error = 8.52428749632e-19
relative error = 2.1464998169964756551168004663063e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 39.792011230789073745305151238878
y[1] (numeric) = 39.792011230789073744450704682207
absolute error = 8.54446556671e-19
relative error = 2.1472816533834104575753989787115e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 39.871681172779996149607797016536
y[1] (numeric) = 39.871681172779996148751328613494
absolute error = 8.56468403042e-19
relative error = 2.1480619272876372700243796803836e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 39.951510601548771922547047268384
y[1] (numeric) = 39.951510601548771921688552971549
absolute error = 8.58494296835e-19
relative error = 2.1488406418397590189716282068408e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 40.03149983641322257847854401858
y[1] (numeric) = 40.031499836413222577618019772429
absolute error = 8.60524246151e-19
relative error = 2.1496178001511072184319790107289e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 40.111649197330394227532283903422
y[1] (numeric) = 40.111649197330394226669725644312
absolute error = 8.62558259110e-19
relative error = 2.1503934053337478491897930353419e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 40.191959004897837404223668143028
y[1] (numeric) = 40.191959004897837403359071799179
absolute error = 8.64596343849e-19
relative error = 2.1511674604953675323274724902115e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 40.272429580354889458083104060644
y[1] (numeric) = 40.272429580354889457216465552126
absolute error = 8.66638508518e-19
relative error = 2.1519399687292543821407633836109e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 40.353061245583959511433722377859
y[1] (numeric) = 40.353061245583959510565037616569
absolute error = 8.68684761290e-19
relative error = 2.1527109331390926045523132623714e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 40.433854323111815989457043109836
y[1] (numeric) = 40.433854323111815988586307999489
absolute error = 8.70735110347e-19
relative error = 2.1534803568041040860315225720243e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 40.514809136110876727696712039969
y[1] (numeric) = 40.514809136110876726823922476079
absolute error = 8.72789563890e-19
relative error = 2.1542482428038444654365437199875e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 40.595926008400501662160739509036
y[1] (numeric) = 40.595926008400501661285891378898
absolute error = 8.74848130138e-19
relative error = 2.1550145942156066675092260394654e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 40.677205264448288107193003651387
y[1] (numeric) = 40.677205264448288106316092834061
absolute error = 8.76910817326e-19
relative error = 2.1557794141093967592424924892790e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 40.758647229371368626295131291222
y[1] (numeric) = 40.758647229371368625416153657519
absolute error = 8.78977633703e-19
relative error = 2.1565427055429697685636042947834e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 40.840252228937711501090241516986
y[1] (numeric) = 40.840252228937711500209192929449
absolute error = 8.81048587537e-19
relative error = 2.1573044715740650000583927159581e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 40.922020589567423803630429522802
y[1] (numeric) = 40.92202058956742380274730583569
absolute error = 8.83123687112e-19
relative error = 2.1580647152529456128217910023203e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 41.003952638334057077260281684309
y[1] (numeric) = 41.003952638334057076375078743581
absolute error = 8.85202940728e-19
relative error = 2.1588234396223436041575590630433e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 41.086048702965915631259147063879
y[1] (numeric) = 41.086048702965915630371860707176
absolute error = 8.87286356703e-19
relative error = 2.1595806477222733272950571177134e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 41.16830911184736745449534565869
y[1] (numeric) = 41.16830911184736745360597171532
absolute error = 8.89373943370e-19
relative error = 2.1603363425826420819436302440812e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 41.250734194020157753335969756366
y[1] (numeric) = 41.250734194020157752444504047289
absolute error = 8.91465709077e-19
relative error = 2.1610905272232216519810419126078e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 41.333324279184725119066431788794
y[1] (numeric) = 41.333324279184725118172870126599
absolute error = 8.93561662195e-19
relative error = 2.1618432046729752282408678165951e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 41.416079697701520330084430117164
y[1] (numeric) = 41.416079697701520329188768306057
absolute error = 8.95661811107e-19
relative error = 2.1625943779432769251691470530219e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 41.499000780592327794143543282538
y[1] (numeric) = 41.499000780592327793245777118325
absolute error = 8.97766164213e-19
relative error = 2.1633440500400065582221530249920e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 41.58208785954158963593222345822
y[1] (numeric) = 41.582087859541589635032348728291
absolute error = 8.99874729929e-19
relative error = 2.1640922239610707778506011425694e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 41.665341266897732435284541185367
y[1] (numeric) = 41.665341266897732434382553668676
absolute error = 9.01987516691e-19
relative error = 2.1648389027059542313620148758432e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 41.748761335674496621329636003791
y[1] (numeric) = 41.748761335674496620425531470842
absolute error = 9.04104532949e-19
relative error = 2.1655840892612034868791659055973e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 41.832348399552268527897451348295
y[1] (numeric) = 41.832348399552268526991225561123
absolute error = 9.06225787172e-19
relative error = 2.1663277866123799334430054793360e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=129.7MB, alloc=4.4MB, time=6.08
x[1] = 1.061
y[1] (analytic) = 41.916102792879415115508977109544
y[1] (numeric) = 41.916102792879415114600625821699
absolute error = 9.08351287845e-19
relative error = 2.1670699977367840091640995641545e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 42.00002485067362136528988960008
y[1] (numeric) = 42.00002485067362136437940855661
absolute error = 9.10481043470e-19
relative error = 2.1678107256057901208438775821962e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 42.084114908623230350157166363226
y[1] (numeric) = 42.084114908623230349244551300661
absolute error = 9.12615062565e-19
relative error = 2.1685499731824012783365204645901e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 42.168373303088585988638962358106
y[1] (numeric) = 42.168373303088585987724209004438
absolute error = 9.14753353668e-19
relative error = 2.1692877434306902294073966067913e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 42.252800371103378486698764590618
y[1] (numeric) = 42.252800371103378485781868665288
absolute error = 9.16895925330e-19
relative error = 2.1700240392990937315101850016835e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 42.33739645037599247294559428091
y[1] (numeric) = 42.337396450375992472026551494788
absolute error = 9.19042786122e-19
relative error = 2.1707588637369743364711546095708e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 42.422161879290857832622799205673
y[1] (numeric) = 42.42216187929085783170160526104
absolute error = 9.21193944633e-19
relative error = 2.1714922196897688303082193444828e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 42.507096996909803245778773971532
y[1] (numeric) = 42.507096996909803244855424562067
absolute error = 9.23349409465e-19
relative error = 2.1722241100871367408231232804833e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 42.59220214297341243503376270715
y[1] (numeric) = 42.592202142973412434108253517908
absolute error = 9.25509189242e-19
relative error = 2.1729545378641206354011678376826e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 42.677477657902383128367737049559
y[1] (numeric) = 42.677477657902383127440063756956
absolute error = 9.27673292603e-19
relative error = 2.1736835059445627789160696902950e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 42.762923882798888742365202388206
y[1] (numeric) = 42.762923882798888741435360660003
absolute error = 9.29841728203e-19
relative error = 2.1744110172434276840324067729588e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 42.848541159447942791363667161504
y[1] (numeric) = 42.848541159447942790431652656788
absolute error = 9.32014504716e-19
relative error = 2.1751370746737646949062617094048e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 42.93432983031876602796341361898
y[1] (numeric) = 42.934329830318766027029221988147
absolute error = 9.34191630833e-19
relative error = 2.1758616811419415420861266461961e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 43.02029023856615632036713391096
y[1] (numeric) = 43.020290238566156319430760795695
absolute error = 9.36373115265e-19
relative error = 2.1765848395545571850465511348046e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 43.106422728031861272028942690824
y[1] (numeric) = 43.10642272803186127109038372409
absolute error = 9.38558966734e-19
relative error = 2.1773065527974337050544158875868e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 43.192727643245953589103246656078
y[1] (numeric) = 43.192727643245953588162497462091
absolute error = 9.40749193987e-19
relative error = 2.1780268237681093579165948904523e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 43.279205329428209201194942657494
y[1] (numeric) = 43.27920532942820920025199885171
absolute error = 9.42943805784e-19
relative error = 2.1787456553478678837531328011595e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 43.365856132489488140923429214646
y[1] (numeric) = 43.365856132489488139978286403744
absolute error = 9.45142810902e-19
relative error = 2.1794630504109974452940892483051e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 43.452680399033118187823951535045
y[1] (numeric) = 43.452680399033118186876605316908
absolute error = 9.47346218137e-19
relative error = 2.1801790118293364345327183870328e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 43.539678476356281282120857487109
y[1] (numeric) = 43.539678476356281281171303450805
absolute error = 9.49554036304e-19
relative error = 2.1808935424721712970813743417446e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 43.62685071245140271391842146855
y[1] (numeric) = 43.626850712451402712966655194316
absolute error = 9.51766274234e-19
relative error = 2.1816066451992588384855266597094e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 43.714197456007543093365994785722
y[1] (numeric) = 43.714197456007543092412011844947
absolute error = 9.53982940775e-19
relative error = 2.1823183228630822920885587221165e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 43.8017190564117931073653650605
y[1] (numeric) = 43.801719056411793106409161015705
absolute error = 9.56204044795e-19
relative error = 2.1830285783156465501409156545642e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 43.88941586375067106839935335379
y[1] (numeric) = 43.889415863750671067440923758612
absolute error = 9.58429595178e-19
relative error = 2.1837374143992427986447926849619e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 43.977288228811523261071846183466
y[1] (numeric) = 43.97728822881152326011118658264
absolute error = 9.60659600826e-19
relative error = 2.1844448339509669187399665553496e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 44.065336503083927091960650463994
y[1] (numeric) = 44.065336503083927090997756393335
absolute error = 9.62894070659e-19
relative error = 2.1851508398026451953932555404476e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 44.153561038761097048395772650022
y[1] (numeric) = 44.153561038761097047430639636406
absolute error = 9.65133013616e-19
relative error = 2.1858554347830256626099037781010e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 44.241962188741293471786959071664
y[1] (numeric) = 44.241962188741293470819582633014
absolute error = 9.67376438650e-19
relative error = 2.1865586217063813193286925311331e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 44.330540306629234151135592650017
y[1] (numeric) = 44.33054030662923415016596829528
absolute error = 9.69624354737e-19
relative error = 2.1872604033928307126092400443185e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=133.5MB, alloc=4.4MB, time=6.25
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 44.419295746737508742377321922604
y[1] (numeric) = 44.419295746737508741405445151736
absolute error = 9.71876770868e-19
relative error = 2.1879607826501437255546170249215e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 44.508228864087996019213101635166
y[1] (numeric) = 44.508228864087996018238967939113
absolute error = 9.74133696053e-19
relative error = 2.1886597622827260622739667140912e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 44.597340014413283961097650113625
y[1] (numeric) = 44.597340014413283960121254974307
absolute error = 9.76395139318e-19
relative error = 2.1893573450848003691022360002103e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 44.686629554158092684065677263512
y[1] (numeric) = 44.6866295541580926830870161538
absolute error = 9.78661109712e-19
relative error = 2.1900535338560469800112948554252e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 44.776097840480700220087608398985
y[1] (numeric) = 44.776097840480700219106676782689
absolute error = 9.80931616296e-19
relative error = 2.1907483313768573540116818677455e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 44.865745231254371150657923225412
y[1] (numeric) = 44.865745231254371149674716557258
absolute error = 9.83206668154e-19
relative error = 2.1914417404329186644038133120498e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 44.95557208506878810033064623368
y[1] (numeric) = 44.955572085068788099345159959295
absolute error = 9.85486274385e-19
relative error = 2.1921337637972404702125084361517e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 45.045578761231486095927964556876
y[1] (numeric) = 45.045578761231486094940194112769
absolute error = 9.87770444107e-19
relative error = 2.1928244042390358497275994366260e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 45.135765619769289797159412036284
y[1] (numeric) = 45.135765619769289796169352849827
absolute error = 9.90059186457e-19
relative error = 2.1935136645236342837619478289915e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 45.226133021429753604400543889738
y[1] (numeric) = 45.226133021429753603408191379146
absolute error = 9.92352510592e-19
relative error = 2.1942015474146065391111502859104e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 45.316681327682604649391535017172
y[1] (numeric) = 45.316681327682604648396884591488
absolute error = 9.94650425684e-19
relative error = 2.1948880556626237699674601925758e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 45.40741090072118867462766666176
y[1] (numeric) = 45.407410900721188673630713720837
absolute error = 9.96952940923e-19
relative error = 2.1955731920120681771707177663201e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 45.498322103463918807225220916423
y[1] (numeric) = 45.498322103463918806225960850902
absolute error = 9.99260065521e-19
relative error = 2.1962569592097626873474094149999e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 45.589415299555727233057880470974
y[1] (numeric) = 45.589415299555727232056308662268
absolute error = 1.001571808706e-18
relative error = 2.1969393599916610540137272712189e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 45.68069085336951977697033208108
y[1] (numeric) = 45.680690853369519775966443901356
absolute error = 1.003888179724e-18
relative error = 2.1976203970872098710770975997491e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 45.772149130007633394887396552889
y[1] (numeric) = 45.772149130007633393881187365046
absolute error = 1.006209187843e-18
relative error = 2.1983000732280280304911271205369e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 45.863790495303296583648655623156
y[1] (numeric) = 45.863790495303296582640120780812
absolute error = 1.008534842344e-18
relative error = 2.1989783911281373335702443826753e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 45.95561531582209271441021702061
y[1] (numeric) = 45.955615315822092713399351868077
absolute error = 1.010865152533e-18
relative error = 2.1996553535101258682747744019186e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 46.047623958863426295466953266704
y[1] (numeric) = 46.047623958863426294453753138976
absolute error = 1.013200127728e-18
relative error = 2.2003309630767067772480753877746e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 46.139816792461992170360267459757
y[1] (numeric) = 46.139816792461992169344727682487
absolute error = 1.015539777270e-18
relative error = 2.2010052225346329203574992269886e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 46.232194185389247657148180432448
y[1] (numeric) = 46.232194185389247656130296321929
absolute error = 1.017884110519e-18
relative error = 2.2016781345858807186596019365825e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 46.32475650715488763472629832588
y[1] (numeric) = 46.324756507154887633706065189031
absolute error = 1.020233136849e-18
relative error = 2.2023497019167804012183524139781e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 46.417504128008322582100007830876
y[1] (numeric) = 46.417504128008322581077420965216
absolute error = 1.022586865660e-18
relative error = 2.2030199272239005893364807029611e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 46.510437418940159576520058155976
y[1] (numeric) = 46.510437418940159575495112849611
absolute error = 1.024945306365e-18
relative error = 2.2036888131858717420117723923426e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 46.603556751683686256405524239164
y[1] (numeric) = 46.603556751683686255378215770766
absolute error = 1.027308468398e-18
relative error = 2.2043563624806073516753917585638e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 46.69686249871635775499000487377
y[1] (numeric) = 46.696862498716357753960328512559
absolute error = 1.029676361211e-18
relative error = 2.2050225777787631906113105173677e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 46.790355033261286610638792315928
y[1] (numeric) = 46.790355033261286609606743321652
absolute error = 1.032048994276e-18
relative error = 2.2056874617479606034471996329981e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 46.884034729288735659796656628812
y[1] (numeric) = 46.884034729288735658762230251728
absolute error = 1.034426377084e-18
relative error = 2.2063510170505604605928386250571e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 46.977901961517613918537818545318
y[1] (numeric) = 46.977901961517613917501010026174
absolute error = 1.036808519144e-18
relative error = 2.2070132463414636062847890450356e-18 %
Correct digits = 19
h = 0.001
memory used=137.3MB, alloc=4.4MB, time=6.44
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 47.071957105416975458701639043582
y[1] (numeric) = 47.071957105416975457662443613597
absolute error = 1.039195429985e-18
relative error = 2.2076741522723108382576883950183e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 47.166200537207521284609532176605
y[1] (numeric) = 47.16620053720752128356794505745
absolute error = 1.041587119155e-18
relative error = 2.2083337374892721210148480873712e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 47.260632633863104216370610026132
y[1] (numeric) = 47.260632633863104215326626429911
absolute error = 1.043983596221e-18
relative error = 2.2089920046329780514614617077376e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 47.355253773112236785795595009874
y[1] (numeric) = 47.355253773112236784749210139108
absolute error = 1.046384870766e-18
relative error = 2.2096489563321170062944916849266e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 47.450064333439602150950585208268
y[1] (numeric) = 47.45006433343960214990179425587
absolute error = 1.048790952398e-18
relative error = 2.2103045952223987545438397230036e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 47.545064694087568035394332940357
y[1] (numeric) = 47.545064694087568034343131089615
absolute error = 1.051201850742e-18
relative error = 2.2109589239295355131627601979506e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 47.64025523505770369815479555652
y[1] (numeric) = 47.640255235057703697101177981081
absolute error = 1.053617575439e-18
relative error = 2.2116119450671197020484709129233e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 47.735636337112299940512840376873
y[1] (numeric) = 47.73563633711229993945680224072
absolute error = 1.056038136153e-18
relative error = 2.2122636612512863362867788492666e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 47.831208381775892155673132936828
y[1] (numeric) = 47.831208381775892154614669394262
absolute error = 1.058463542566e-18
relative error = 2.2129140750901117680035664665099e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 47.926971751336786427414409254108
y[1] (numeric) = 47.926971751336786426353515449728
absolute error = 1.060893804380e-18
relative error = 2.2135631891877445558089045935371e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 48.022926828848588683823528753096
y[1] (numeric) = 48.022926828848588682760199821779
absolute error = 1.063328931317e-18
relative error = 2.2142110061443222453602597869735e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 48.119073998131736912229924821609
y[1] (numeric) = 48.119073998131736911164155888494
absolute error = 1.065768933115e-18
relative error = 2.2148575285475763013489223074728e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 48.215413643775036441469314780853
y[1] (numeric) = 48.215413643775036440401100961317
absolute error = 1.068213819536e-18
relative error = 2.2155027589894258625433024252163e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 48.31194615113719829761780037043
y[1] (numeric) = 48.311946151137198296547136770071
absolute error = 1.070663600359e-18
relative error = 2.2161467000513247124785994048008e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 48.40867190634838063934978373596
y[1] (numeric) = 48.408671906348380638276665450576
absolute error = 1.073118285384e-18
relative error = 2.2167893543125065032318264384595e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 48.505591296311733279085442406208
y[1] (numeric) = 48.50559129631173327800986452178
absolute error = 1.075577884428e-18
relative error = 2.2174307243416384441956638325045e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 48.602704708704945296105849908998
y[1] (numeric) = 48.602704708704945295027807501666
absolute error = 1.078042407332e-18
relative error = 2.2180708127112073026763034525198e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 48.700012531981795747826196549862
y[1] (numeric) = 48.700012531981795746745684685911
absolute error = 1.080511863951e-18
relative error = 2.2187096219768256126464133998750e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 48.797515155373707485429957513941
y[1] (numeric) = 48.797515155373707484346971249777
absolute error = 1.082986264164e-18
relative error = 2.2193471546977710725098859811437e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 48.895212968891304080079272899548
y[1] (numeric) = 48.895212968891304078993807281679
absolute error = 1.085465617869e-18
relative error = 2.2199834134266024969674605527282e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 48.993106363325969865929246600826
y[1] (numeric) = 48.993106363325969864841296665842
absolute error = 1.087949934984e-18
relative error = 2.2206184007111462959603758170323e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 49.091195730251413106186338176748
y[1] (numeric) = 49.091195730251413105095898951304
absolute error = 1.090439225444e-18
relative error = 2.2212521190883110743311491499199e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 49.189481462025232288463514024257
y[1] (numeric) = 49.189481462025232287370580525048
absolute error = 1.092933499209e-18
relative error = 2.2218845711003388086004167342588e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 49.287963951790485555697341364528
y[1] (numeric) = 49.287963951790485554601908598273
absolute error = 1.095432766255e-18
relative error = 2.2225157592763703041076004833713e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 49.386643593477263278904750803325
y[1] (numeric) = 49.386643593477263277806813766746
absolute error = 1.097937036579e-18
relative error = 2.2231456861425787194687328761052e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 49.485520781804263778069760589248
y[1] (numeric) = 49.48552078180426377696931426905
absolute error = 1.100446320198e-18
relative error = 2.2237743542200572650430996924489e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 49.584595912280372197463048217736
y[1] (numeric) = 49.584595912280372196360087590588
absolute error = 1.102960627148e-18
relative error = 2.2244017660227320395797908865862e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 49.683869381206242541709872764286
y[1] (numeric) = 49.683869381206242540604392796799
absolute error = 1.105479967487e-18
relative error = 2.2250279240633507329598084142583e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=141.1MB, alloc=4.4MB, time=6.61
x[1] = 1.147
y[1] (analytic) = 49.783341585675882878934494327949
y[1] (numeric) = 49.783341585675882877826489976655
absolute error = 1.108004351294e-18
relative error = 2.2256528308513647830330847895373e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 49.883012923578243717321905276384
y[1] (numeric) = 49.883012923578243716211371487719
absolute error = 1.110533788665e-18
relative error = 2.2262764888848225597642271121742e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 49.982883793598809561450381657246
y[1] (numeric) = 49.982883793598809560337313367528
absolute error = 1.113068289718e-18
relative error = 2.2268989006603657380513884941400e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 50.08295459522119365476108222817
y[1] (numeric) = 50.082954595221193653645474363579
absolute error = 1.115607864591e-18
relative error = 2.2275200686691293376350257322045e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 50.183225728728735914543667110085
y[1] (numeric) = 50.183225728728735913425514586645
absolute error = 1.118152523440e-18
relative error = 2.2281399953926906394885422333478e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 50.283697595206104065829678136915
y[1] (numeric) = 50.283697595206104064708975860463
absolute error = 1.120702276452e-18
relative error = 2.2287586833288973798588988623884e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 50.38437059654089798059821860999
y[1] (numeric) = 50.384370596540897979474961476175
absolute error = 1.123257133815e-18
relative error = 2.2293761349320425864434548832274e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 50.4852451354252572287112914191
y[1] (numeric) = 50.485245135425257227585474313346
absolute error = 1.125817105754e-18
relative error = 2.2299923526844865667116072419347e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 50.58632161535747184700900141484
y[1] (numeric) = 50.586321615357471845880619212331
absolute error = 1.128382202509e-18
relative error = 2.2306073390527669951943188650793e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 50.68760044064359633300770056081
y[1] (numeric) = 50.687600440643596331876748126471
absolute error = 1.130952434339e-18
relative error = 2.2312210964955277390551900732768e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 50.78908201639906686965705281024
y[1] (numeric) = 50.789082016399066868523524998712
absolute error = 1.133527811528e-18
relative error = 2.2318336274752910694681079990702e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 50.89076674855032178762491989156
y[1] (numeric) = 50.890766748550321786488811547188
absolute error = 1.136108344372e-18
relative error = 2.2324449344327539883602613970082e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 50.99265504383642527159191930314
y[1] (numeric) = 50.992655043836425270453225259944
absolute error = 1.138694043196e-18
relative error = 2.2330550198202241184793679247453e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 51.0947473098106943170504818603
y[1] (numeric) = 51.094747309810694315909196941957
absolute error = 1.141284918343e-18
relative error = 2.2336638860798555394095366500243e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 51.197043954842328944116238160155
y[1] (numeric) = 51.197043954842328942972357179978
absolute error = 1.143880980177e-18
relative error = 2.2342715356494898232090104877559e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 51.29954538811804567487259138343
y[1] (numeric) = 51.299545388118045673726109144344
absolute error = 1.146482239086e-18
relative error = 2.2348779709684272947432448756886e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 51.4022520196437142807823879895
y[1] (numeric) = 51.402252019643714279633299284032
absolute error = 1.149088705468e-18
relative error = 2.2354831944500565237634411954417e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 51.505164260245997806713678133715
y[1] (numeric) = 51.505164260245997805561977743964
absolute error = 1.151700389751e-18
relative error = 2.2360872085208243048341530746901e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 51.608282521573995878139664096685
y[1] (numeric) = 51.608282521573995876985346794302
absolute error = 1.154317302383e-18
relative error = 2.2366900156006094336264011710536e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 51.711607216100891298086067716435
y[1] (numeric) = 51.711607216100891296929128262608
absolute error = 1.156939453827e-18
relative error = 2.2372916180929996477650674148069e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 51.815138757125599940412306808375
y[1] (numeric) = 51.815138757125599939252739953795
absolute error = 1.159566854580e-18
relative error = 2.2378920184220036806691556637536e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 51.91887755877442394602605589759
y[1] (numeric) = 51.918877558774423944863856382441
absolute error = 1.162199515149e-18
relative error = 2.2384912189855022981937434606564e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 52.022824036002708228643978326025
y[1] (numeric) = 52.022824036002708227479140879964
absolute error = 1.164837446061e-18
relative error = 2.2390892221746117441864759355577e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 52.12697860459650029672465498613
y[1] (numeric) = 52.12697860459650029555717432826
absolute error = 1.167480657870e-18
relative error = 2.2396860303870610773661032621989e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 52.231341681174213398212999625775
y[1] (numeric) = 52.231341681174213397042870464627
absolute error = 1.170129161148e-18
relative error = 2.2402816460097762373904358864795e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 52.335913683188292994748741919635
y[1] (numeric) = 52.335913683188292993575958953146
absolute error = 1.172782966489e-18
relative error = 2.2408760714265116947389991821467e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 52.44069502892688657200487736294
y[1] (numeric) = 52.44069502892688657082943527843
absolute error = 1.175442084510e-18
relative error = 2.2414693090196701539397571386266e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 52.545686137515516792835327567795
y[1] (numeric) = 52.54568613751551679165722104195
absolute error = 1.178106525845e-18
relative error = 2.2420613611587785387177694781087e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 52.6508874289187579999244257836
y[1] (numeric) = 52.650887428918757998743649482447
absolute error = 1.180776301153e-18
relative error = 2.2426522302156921077155785757833e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=144.9MB, alloc=4.4MB, time=6.79
x[1] = 1.176
y[1] (analytic) = 52.75629932394191607464424047483
y[1] (numeric) = 52.756299323941916073460789053719
absolute error = 1.183451421111e-18
relative error = 2.2432419185511840905588997519344e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 52.861922244232711658839174625305
y[1] (numeric) = 52.861922244232711657653042728877
absolute error = 1.186131896428e-18
relative error = 2.2438304285414217427567882309083e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 52.96775661228296674627073015159
y[1] (numeric) = 52.967756612282966745081912413775
absolute error = 1.188817737815e-18
relative error = 2.2444177625210558994717649359705e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 53.07380285143029465046880545347
y[1] (numeric) = 53.073802851430294649277296497449
absolute error = 1.191508956021e-18
relative error = 2.2450039228513466677065940835214e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 53.18006138585979335574939975987
y[1] (numeric) = 53.180061385859793354555194198059
absolute error = 1.194205561811e-18
relative error = 2.2455889118784110928461354536115e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 53.286532640605742258172130598905
y[1] (numeric) = 53.28653264060574225697522303294
absolute error = 1.196907565965e-18
relative error = 2.2461727319313790175167085653949e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 53.39321704155330230322453048446
y[1] (numeric) = 53.393217041553302302024915505161
absolute error = 1.199614979299e-18
relative error = 2.2467553853617753406891445250889e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 53.500115015440219527033675823275
y[1] (numeric) = 53.500115015440219525831348010631
absolute error = 1.202327812644e-18
relative error = 2.2473368745039263056997475182463e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 53.607226989858532007919315160495
y[1] (numeric) = 53.60722698985853200671426908365
absolute error = 1.205046076845e-18
relative error = 2.2479172016731471737871426132060e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 53.71455339325628023511630525213
y[1] (numeric) = 53.714553393256280233908535469354
absolute error = 1.207769782776e-18
relative error = 2.2484963691937393899322831473269e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 53.822094654939220901507832134635
y[1] (numeric) = 53.822094654939220900297333193302
absolute error = 1.210498941333e-18
relative error = 2.2490743793857774878758274423032e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 53.92985120507254412722459040956
y[1] (numeric) = 53.929851205072544126011356846127
absolute error = 1.213233563433e-18
relative error = 2.2496512345631790810840026283933e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 54.03782347468259412097881742963
y[1] (numeric) = 54.037823474682594119762843769616
absolute error = 1.215973660014e-18
relative error = 2.2502269370336484533798353252488e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 54.1460118956585932860158300166
y[1] (numeric) = 54.146011895658593284797110774566
absolute error = 1.218719242034e-18
relative error = 2.2508014890967739896760577886547e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 54.25441690075436977757948981585
y[1] (numeric) = 54.254416900754369776358019495368
absolute error = 1.221470320482e-18
relative error = 2.2513748930642664564822013900285e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 54.36303892359008851880182945295
y[1] (numeric) = 54.363038923590088517577602546594
absolute error = 1.224226906356e-18
relative error = 2.2519471512192517876897834927755e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 54.471878398653985681940905358805
y[1] (numeric) = 54.471878398653985680713916348116
absolute error = 1.226989010689e-18
relative error = 2.2525182658641696820490555140086e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 54.58093576130410664190480452732
y[1] (numeric) = 54.580935761304106640675047882799
absolute error = 1.229756644521e-18
relative error = 2.2530882392691636890758115175125e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 54.69021144777004740901362161901
y[1] (numeric) = 54.690211447770047407781091800084
absolute error = 1.232529818926e-18
relative error = 2.2536570737216549641030942483579e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 54.79970589515469954796513978026
y[1] (numeric) = 54.799705895154699546729831235261
absolute error = 1.235308544999e-18
relative error = 2.2542247715023302032784891282396e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 54.909419541435998589983893367585
y[1] (numeric) = 54.909419541435998588745800533732
absolute error = 1.238092833853e-18
relative error = 2.2547913348796278829212506666320e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 55.019352825468675945147263504345
y[1] (numeric) = 55.019352825468675943906380807718
absolute error = 1.240882696627e-18
relative error = 2.2553567661242836244864976861697e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 55.12950618698601432189625811016
y[1] (numeric) = 55.129506186986014320652579965683
absolute error = 1.243678144477e-18
relative error = 2.2559210674928650905145355931016e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 55.239880066601606660752656786735
y[1] (numeric) = 55.239880066601606659506177598149
absolute error = 1.246479188586e-18
relative error = 2.2564842412458992330966995721382e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 55.350474905811118589278257773895
y[1] (numeric) = 55.350474905811118588028971933736
absolute error = 1.249285840159e-18
relative error = 2.2570462896386826908583422514691e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 55.461291146994054405326049162765
y[1] (numeric) = 55.461291146994054404073951052346
absolute error = 1.252098110419e-18
relative error = 2.2576072149140048367261078486538e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 55.572329233415526595647239725445
y[1] (numeric) = 55.572329233415526594392323714823
absolute error = 1.254916010622e-18
relative error = 2.2581670193291477138264956889435e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 55.68358960922802889693222614861
y[1] (numeric) = 55.683589609228028895674486596574
absolute error = 1.257739552036e-18
relative error = 2.2587257051179116858322706392318e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 55.795072719473212906377743199055
y[1] (numeric) = 55.795072719473212905117174453098
absolute error = 1.260568745957e-18
relative error = 2.2592832745194092341323406907705e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=148.7MB, alloc=4.4MB, time=6.97
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 55.90677901008366824888664145854
y[1] (numeric) = 55.906779010083668247623237854841
absolute error = 1.263403603699e-18
relative error = 2.2598397297600086363309614503022e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 56.018708927884706308020963800645
y[1] (numeric) = 56.018708927884706306754719664041
absolute error = 1.266244136604e-18
relative error = 2.2603950730711958134278264077685e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 56.130862920596147527843246800205
y[1] (numeric) = 56.130862920596147526574156444178
absolute error = 1.269090356027e-18
relative error = 2.2609493066626836860368391826091e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 56.24324143683411229279525682367
y[1] (numeric) = 56.24324143683411229152331455031
absolute error = 1.271942273360e-18
relative error = 2.2615024327651849283547431361136e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 56.35584492611281539277768270308
y[1] (numeric) = 56.355844926112815391502882803069
absolute error = 1.274799900011e-18
relative error = 2.2620544535928231579919054166690e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 56.46867383884636408060864770513
y[1] (numeric) = 56.468673838846364079330984457719
absolute error = 1.277663247411e-18
relative error = 2.2626053713555781785259578271021e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 56.581728626350559729053273026735
y[1] (numeric) = 56.581728626350559727772740699725
absolute error = 1.280532327010e-18
relative error = 2.2631551882521417706535945957891e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 56.695009740844703094630923337585
y[1] (numeric) = 56.695009740844703093347516187301
absolute error = 1.283407150284e-18
relative error = 2.2637039064822611018192643451373e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 56.808517635453403195421192005675
y[1] (numeric) = 56.808517635453403194134904276941
absolute error = 1.286287728734e-18
relative error = 2.2642515282448521000183015367466e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 56.922252764208389810104139641585
y[1] (numeric) = 56.922252764208389808814965567704
absolute error = 1.289174073881e-18
relative error = 2.2647980557291079169918283969188e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 57.03621558205032960548478453915
y[1] (numeric) = 57.036215582050329604192718341877
absolute error = 1.292066197273e-18
relative error = 2.2653434911267529642356850087764e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 57.15040654483064589976635753196
y[1] (numeric) = 57.150406544830645898471393421484
absolute error = 1.294964110476e-18
relative error = 2.2658878366161539856776618741051e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 57.26482610931334206885137678509
y[1] (numeric) = 57.264826109313342067553508960007
absolute error = 1.297867825083e-18
relative error = 2.2664310943780540345092570576350e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 57.379474733176828602964170157535
y[1] (numeric) = 57.379474733176828601663392804828
absolute error = 1.300777352707e-18
relative error = 2.2669732665832337514770983375485e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 57.494352875015753820903074061545
y[1] (numeric) = 57.494352875015753819599381356559
absolute error = 1.303692704986e-18
relative error = 2.2675143554011917032982147500965e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 57.609460994342838249245168268595
y[1] (numeric) = 57.609460994342838247938554375008
absolute error = 1.306613893587e-18
relative error = 2.2680543630069850921020720962414e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 57.72479955159071267384106592675
y[1] (numeric) = 57.724799551590712672531524996558
absolute error = 1.309540930192e-18
relative error = 2.2685932915568057593944432962513e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 57.84036900811375987095196721936
y[1] (numeric) = 57.840369008113759869639493392856
absolute error = 1.312473826504e-18
relative error = 2.2691311431984262546525117629020e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 57.95616982618996002539590366892
y[1] (numeric) = 57.956169826189960024080491074665
absolute error = 1.315412594255e-18
relative error = 2.2696679200849723492605805312007e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 58.07220246902273984308484813163
y[1] (numeric) = 58.072202469022739841766490886421
absolute error = 1.318357245209e-18
relative error = 2.2702036243799206389939917795469e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 58.18846740074282536534914309655
y[1] (numeric) = 58.188467400742825364027835305413
absolute error = 1.321307791137e-18
relative error = 2.2707382582139160795929464702342e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 58.304965086410098492460507057565
y[1] (numeric) = 58.30496508641009849113624281372
absolute error = 1.324264243845e-18
relative error = 2.2712718237330076093533443105560e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 58.42169599201545722377971552545
y[1] (numeric) = 58.421695992015457222452488910294
absolute error = 1.327226615156e-18
relative error = 2.2718043230675692605147096982688e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 58.538660584482679621969919751165
y[1] (numeric) = 58.538660584482679620639724834241
absolute error = 1.330194916924e-18
relative error = 2.2723357583562573341295066826272e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 58.65585933167029150873146249886
y[1] (numeric) = 58.655859331670291507398293337848
absolute error = 1.333169161012e-18
relative error = 2.2728661317083060284904070907126e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 58.77329270237343789952897629822
y[1] (numeric) = 58.773292702373437898192826938892
absolute error = 1.336149359328e-18
relative error = 2.2733954452649585359983003812031e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 58.890961166325758184796505579655
y[1] (numeric) = 58.890961166325758183457370055868
absolute error = 1.339135523787e-18
relative error = 2.2739237011345071505018314153839e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 59.008865194201265065121380013195
y[1] (numeric) = 59.008865194201265063779252346859
absolute error = 1.342127666336e-18
relative error = 2.2744509014348735162562755029153e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 59.127005257616227247922582291745
y[1] (numeric) = 59.127005257616227246577456492798
absolute error = 1.345125798947e-18
relative error = 2.2749770482815592595310668182546e-18 %
Correct digits = 19
h = 0.001
memory used=152.5MB, alloc=4.4MB, time=7.15
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 59.245381829131055913154399582455
y[1] (numeric) = 59.245381829131055911806269648853
absolute error = 1.348129933602e-18
relative error = 2.2755021437622370056117956021121e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 59.36399538225219495558122397615
y[1] (numeric) = 59.363995382252194954230083893825
absolute error = 1.351140082325e-18
relative error = 2.2760261899908183925226214504175e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 59.482846391434015011184473554245
y[1] (numeric) = 59.482846391434015009830317297088
absolute error = 1.354156257157e-18
relative error = 2.2765491890650492841887837430824e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 59.60193533208071127527774222629
y[1] (numeric) = 59.601935332080711273920563756125
absolute error = 1.357178470165e-18
relative error = 2.2770711430816565801266980452487e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 59.721262680548205119921453329105
y[1] (numeric) = 59.721262680548205118561246595679
absolute error = 1.360206733426e-18
relative error = 2.2775920541094529378903074815657e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 59.840828914146049518243489181695
y[1] (numeric) = 59.840828914146049516880248122629
absolute error = 1.363241059066e-18
relative error = 2.2781119242546741512698601440151e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 59.960634511139338283287496418885
y[1] (numeric) = 59.960634511139338281921214959669
absolute error = 1.366281459216e-18
relative error = 2.2786307555871104264384024572527e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 60.080679950750619129025825042715
y[1] (numeric) = 60.080679950750619127656497096673
absolute error = 1.369327946042e-18
relative error = 2.2791485501902883757282725933345e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 60.200965713161810561189347793965
y[1] (numeric) = 60.200965713161810559816967262242
absolute error = 1.372380531723e-18
relative error = 2.2796653101246759077358795726662e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 60.32149227951612260558172571904
y[1] (numeric) = 60.321492279516122604206286490567
absolute error = 1.375439228473e-18
relative error = 2.2801810374642695769065971823284e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 60.442260131919981381561035750175
y[1] (numeric) = 60.442260131919981380182531701644
absolute error = 1.378504048531e-18
relative error = 2.2806957342798012714415864162730e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 60.5632697534449575283870567916
y[1] (numeric) = 60.563269753444957527005481787449
absolute error = 1.381575004151e-18
relative error = 2.2812094026221450914084687565188e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 60.68452162812969849214792227207
y[1] (numeric) = 60.684521628129698490763270164453
absolute error = 1.384652107617e-18
relative error = 2.2817220445471196866780970556032e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 60.806016240981864680995289446705
y[1] (numeric) = 60.806016240981864679607554075467
absolute error = 1.387735371238e-18
relative error = 2.2822336621071026338527731588797e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 60.927754077980069496432648970385
y[1] (numeric) = 60.927754077980069495041824163039
absolute error = 1.390824807346e-18
relative error = 2.2827442573476685874461459381020e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 61.049735626075823248416902482655
y[1] (numeric) = 61.049735626075823247022982054349
absolute error = 1.393920428306e-18
relative error = 2.2832538323239237196147798191982e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 61.17196137319548096204887120229
y[1] (numeric) = 61.171961373195480960651848955797
absolute error = 1.397022246493e-18
relative error = 2.2837623890626981340472081854158e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 61.29443180824219408364396489071
y[1] (numeric) = 61.294431808242194082243834616398
absolute error = 1.400130274312e-18
relative error = 2.2842699295953438286190857694816e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 61.417147421097866093989838069135
y[1] (numeric) = 61.417147421097866092586593544932
absolute error = 1.403244524203e-18
relative error = 2.2847764559657176828980275728664e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 61.54010870262511203661348912758
y[1] (numeric) = 61.540108702625112035207124118958
absolute error = 1.406365008622e-18
relative error = 2.2852819701990691932751596602650e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 61.66331614466922196889591800684
y[1] (numeric) = 61.663316144669221967486426266799
absolute error = 1.409491740041e-18
relative error = 2.2857864743021126073675257109316e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 61.78677024006012834388814953004
y[1] (numeric) = 61.786770240060128342475524799057
absolute error = 1.412624730983e-18
relative error = 2.2862899703197454130341768640318e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 61.910471482614377330698152270895
y[1] (numeric) = 61.91047148261437732928238827693
absolute error = 1.415763993965e-18
relative error = 2.2867924602424859716466592966690e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 62.034420367137104081333937134985
y[1] (numeric) = 62.034420367137104079915027593435
absolute error = 1.418909541550e-18
relative error = 2.2872939460907271229340695183603e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 62.158617389424011951903905659945
y[1] (numeric) = 62.158617389424011950481844273619
absolute error = 1.422061386326e-18
relative error = 2.2877944298805411741175153876759e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 62.283063046263355686091335475005
y[1] (numeric) = 62.283063046263355684666115934116
absolute error = 1.425219540889e-18
relative error = 2.2882939135963150168285031926900e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 62.40775783543792856883573946211
y[1] (numeric) = 62.407757835437928567407355444231
absolute error = 1.428384017879e-18
relative error = 2.2887923992486385794577060581609e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 62.53270225572705355816971599349
y[1] (numeric) = 62.532702255727053556738161163537
absolute error = 1.431554829953e-18
relative error = 2.2892898888307535789641951567494e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.4MB, time=7.33
x[1] = 1.262
y[1] (analytic) = 62.657896806908578403175820248005
y[1] (numeric) = 62.657896806908578401741088258213
absolute error = 1.434731989792e-18
relative error = 2.2897863843297854076285113370301e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 62.78334198976087475604393109389
y[1] (numeric) = 62.783341989760874754606015583783
absolute error = 1.437915510107e-18
relative error = 2.2902818877362483044068533248654e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 62.909038306064841286225564432825
y[1] (numeric) = 62.909038306064841284784459029194
absolute error = 1.441105403631e-18
relative error = 2.2907764010311822666269383287702e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 63.034986258605910804697592293435
y[1] (numeric) = 63.034986258605910803253290610309
absolute error = 1.444301683126e-18
relative error = 2.2912699261972399555439026971932e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 63.16118635117606140636386740524
y[1] (numeric) = 63.161186351176061404916363043865
absolute error = 1.447504361375e-18
relative error = 2.2917624652058921722916313574077e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 63.287639088575831638639325541085
y[1] (numeric) = 63.287639088575831637188612089901
absolute error = 1.450713451184e-18
relative error = 2.2922540200205871773738042643901e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 63.41434497661633970427724265138
y[1] (numeric) = 63.414344976616339702823313685978
absolute error = 1.453928965402e-18
relative error = 2.2927445926282572294781949774113e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 63.54130452212130670651646079135
y[1] (numeric) = 63.541304522121306705059309874472
absolute error = 1.457150916878e-18
relative error = 2.2932341849712994678033653388943e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 63.668518232929083944641566128025
y[1] (numeric) = 63.668518232929083943181186809518
absolute error = 1.460379318507e-18
relative error = 2.2937227990201570201664758342051e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 63.795986617894684268065203970565
y[1] (numeric) = 63.795986617894684266601589787367
absolute error = 1.463614183198e-18
relative error = 2.2942104367227675822219526555485e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 63.92371018689181749705794986179
y[1] (numeric) = 63.923710186891817495591094337896
absolute error = 1.466855523894e-18
relative error = 2.2946971000359629997860054356600e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 64.05168945081492991826742236421
y[1] (numeric) = 64.051689450814929916797319010651
absolute error = 1.470103353559e-18
relative error = 2.2951827909049725600297810155205e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 64.179924921581247863184622336375
y[1] (numeric) = 64.179924921581247861711264651192
absolute error = 1.473357685183e-18
relative error = 2.2956675112712173090716047493493e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 64.30841711213282537773181528967
y[1] (numeric) = 64.308417112132825376255196757882
absolute error = 1.476618531788e-18
relative error = 2.2961512630815663115454448097845e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 64.43716653643859599116263790728
y[1] (numeric) = 64.437166536438595989682752000865
absolute error = 1.479885906415e-18
relative error = 2.2966340482679957656985769112460e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 64.56617370949642859248150706149
y[1] (numeric) = 64.566173709496428590998347239358
absolute error = 1.483159822132e-18
relative error = 2.2971158687600161008714751514141e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 64.695439147335187422605839748095
y[1] (numeric) = 64.695439147335187421119399456059
absolute error = 1.486440292036e-18
relative error = 2.2975967264876764447239092669471e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 64.824963367016796190511055333455
y[1] (numeric) = 64.824963367016796189021328004207
absolute error = 1.489727329248e-18
relative error = 2.2980766233737345949439911852048e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 64.954746886638306321614827446375
y[1] (numeric) = 64.954746886638306320121806499462
absolute error = 1.493020946913e-18
relative error = 2.2985555613336181795404469168002e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 65.084790225333969346673581809485
y[1] (numeric) = 65.084790225333969345177260651271
absolute error = 1.496321158214e-18
relative error = 2.2990335422968968057375106160983e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 65.21509390327731343948079835925
y[1] (numeric) = 65.215093903277313437981170382904
absolute error = 1.499627976346e-18
relative error = 2.2995105681671614232041707657650e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.283
y[1] (analytic) = 65.345658441683224111673271216615
y[1] (numeric) = 65.345658441683224110170329802079
absolute error = 1.502941414536e-18
relative error = 2.2999866408527783904841496767067e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 65.476484362810029072968108507525
y[1] (numeric) = 65.476484362810029071461847021482
absolute error = 1.506261486043e-18
relative error = 2.3004617622667307723908320924379e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 65.60757218996158726516991576113
y[1] (numeric) = 65.607572189961587263660327556993
absolute error = 1.509588204137e-18
relative error = 2.3009359342944524410377372467896e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 65.73892244748938207830430169986
y[1] (numeric) = 65.738922447489382076791380117725
absolute error = 1.512921582135e-18
relative error = 2.3014091588487538264990271912354e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 65.870535660794618757250573746235
y[1] (numeric) = 65.870535660794618755734312112869
absolute error = 1.516261633366e-18
relative error = 2.3018814378163033422118712005114e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 66.00241235633032600726325257384
y[1] (numeric) = 66.002412356330326005743644202649
absolute error = 1.519608371191e-18
relative error = 2.3023527730880787475130197284304e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 66.134553061603461806788830590605
y[1] (numeric) = 66.134553061603461805265868781609
absolute error = 1.522961808996e-18
relative error = 2.3028231665486288387211603159039e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 66.26695830517702343600102842919
y[1] (numeric) = 66.266958305177023434474706468994
absolute error = 1.526321960196e-18
relative error = 2.3032926200820628298834556242655e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=160.2MB, alloc=4.4MB, time=7.51
x[1] = 1.291
y[1] (analytic) = 66.39962861667216172949466639888
y[1] (numeric) = 66.399628616672161727964977560645
absolute error = 1.529688838235e-18
relative error = 2.3037611355719438732164875935166e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 66.53256452677029956159516449345
y[1] (numeric) = 66.532564526770299560062102036876
absolute error = 1.533062456574e-18
relative error = 2.3042287148831472901386311783701e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 66.66576656721525457275761501771
y[1] (numeric) = 66.665766567215254571221172189001
absolute error = 1.536442828709e-18
relative error = 2.3046953598889366204528960991394e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 66.799235270815366145546336259245
y[1] (numeric) = 66.799235270815366144006506291085
absolute error = 1.539829968160e-18
relative error = 2.3051610724543022107787294260210e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 66.9329711714456266387028139596
y[1] (numeric) = 66.932971171445626637159590071119
absolute error = 1.543223888481e-18
relative error = 2.3056258544508734057132381219857e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 67.066974804049816887826969698265
y[1] (numeric) = 67.066974804049816886280345095017
absolute error = 1.546624603248e-18
relative error = 2.3060897077388491206666928405335e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 67.20124670464264598121376176191
y[1] (numeric) = 67.201246704642645979663729635851
absolute error = 1.550032126059e-18
relative error = 2.3065526341670011411042253195938e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 67.335787410311895319404224698305
y[1] (numeric) = 67.335787410311895317850778227762
absolute error = 1.553446470543e-18
relative error = 2.3070146355860436047637757902754e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 67.470597459220566967027188617805
y[1] (numeric) = 67.470597459220566965470320967444
absolute error = 1.556867650361e-18
relative error = 2.3074757138499855636843384976249e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 67.60567739060903630552508847376
y[1] (numeric) = 67.60567739060903630396479279456
absolute error = 1.560295679200e-18
relative error = 2.3079358708071127465979053354938e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 67.74102774479720899537447709529
y[1] (numeric) = 67.741027744797208993810746524523
absolute error = 1.563730570767e-18
relative error = 2.3083951082910769287012828775908e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 67.87664906318668225642909373045
y[1] (numeric) = 67.876649063186682254861921391641
absolute error = 1.567172338809e-18
relative error = 2.3088534281503969363424795539406e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 68.0125418882629104750306123537
y[1] (numeric) = 68.01254188826291047345999135662
absolute error = 1.570620997080e-18
relative error = 2.3093108321996797472806879524990e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 68.14870676359737514654950106827
y[1] (numeric) = 68.148706763597375144975424508882
absolute error = 1.574076559388e-18
relative error = 2.3097673222888155132540041707431e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 68.285144233849759162035765659945
y[1] (numeric) = 68.285144233849759160458226620399
absolute error = 1.577539039546e-18
relative error = 2.3102229002307578229668447682824e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 68.421854844770125447676726804475
y[1] (numeric) = 68.421854844770125446095718353066
absolute error = 1.581008451409e-18
relative error = 2.3106775678558581755658672559021e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 68.55883914320109996577639166443
y[1] (numeric) = 68.558839143201099964191906855575
absolute error = 1.584484808855e-18
relative error = 2.3111313269838693127598833099158e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 68.69609767708005908598842670373
y[1] (numeric) = 68.696097677080059084400458577943
absolute error = 1.587968125787e-18
relative error = 2.3115841794268522593274956987456e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 68.833630995441321335552219568215
y[1] (numeric) = 68.83363099544132133396076115208
absolute error = 1.591458416135e-18
relative error = 2.3120361269920488396660512079957e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 68.971439648418343537299033898855
y[1] (numeric) = 68.971439648418343535704078204985
absolute error = 1.594955693870e-18
relative error = 2.3124871715021184174994874557223e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 69.109524187245921344212812030335
y[1] (numeric) = 69.109524187245921342614352057363
absolute error = 1.598459972972e-18
relative error = 2.3129373147485709999752607544547e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 69.24788516426239417934776675239
y[1] (numeric) = 69.24788516426239417774579548493
absolute error = 1.601971267460e-18
relative error = 2.3133865585352907923855188941626e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 69.38652313291185458992252474407
y[1] (numeric) = 69.386523132911854588317035152689
absolute error = 1.605489591381e-18
relative error = 2.3138349046624502514186676294725e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 69.525438647746362024428241003365
y[1] (numeric) = 69.525438647746362022819226044555
absolute error = 1.609014958810e-18
relative error = 2.3142823549264374846379751622614e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 69.66463226442816104160579565634
y[1] (numeric) = 69.664632264428161039993248272494
absolute error = 1.612547383846e-18
relative error = 2.3147289111140426425316522835309e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 69.804104539731903960164912012195
y[1] (numeric) = 69.804104539731903958548825131574
absolute error = 1.616086880621e-18
relative error = 2.3151745750153374739514779658870e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 69.94385603154687795813579770422
y[1] (numeric) = 69.94385603154687795651616424093
absolute error = 1.619633463290e-18
relative error = 2.3156193484092361024281516799035e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 70.083887298879236630761709292715
y[1] (numeric) = 70.08388729887923662913852214668
absolute error = 1.623187146035e-18
relative error = 2.3160632330692044650962671437373e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 70.224198901854236015858674875535
y[1] (numeric) = 70.224198901854236014231926932456
absolute error = 1.626747943079e-18
relative error = 2.3165062307831417741658405898611e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=164.0MB, alloc=4.4MB, time=7.69
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 70.364791401718475095586479126475
y[1] (numeric) = 70.364791401718475093956163257812
absolute error = 1.630315868663e-18
relative error = 2.3169483433204405402990148207359e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 70.505665360842140783592920832845
y[1] (numeric) = 70.505665360842140781959029895783
absolute error = 1.633890937062e-18
relative error = 2.3173895724547550277818254577423e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 70.64682134272125740651129450251
y[1] (numeric) = 70.646821342721257404873821339942
absolute error = 1.637473162568e-18
relative error = 2.3178299199397863264619228187520e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 70.7882599119799406888090250297
y[1] (numeric) = 70.788259911979940687167962470189
absolute error = 1.641062559511e-18
relative error = 2.3182693875390383799588312236989e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 70.92998163437265625000339781939
y[1] (numeric) = 70.92998163437265624835873867713
absolute error = 1.644659142260e-18
relative error = 2.3187079770270213599140341421341e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 71.071987076786482623278376244475
y[1] (numeric) = 71.071987076786482621630113319287
absolute error = 1.648262925188e-18
relative error = 2.3191456901397868581221785583435e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 71.21427680724337880455458392049
y[1] (numeric) = 71.214276807243378802902709997777
absolute error = 1.651873922713e-18
relative error = 2.3195825286327752903149081644512e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 71.35685139490245634108265110107
y[1] (numeric) = 71.356851394902456339427158951784
absolute error = 1.655492149286e-18
relative error = 2.3200184942636972287149554022934e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 71.49971141006225596864828259703
y[1] (numeric) = 71.499711410062255966989164977658
absolute error = 1.659117619372e-18
relative error = 2.3204535887658282495734621561347e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 71.642857424163028806495599074915
y[1] (numeric) = 71.642857424163028804832848727435
absolute error = 1.662750347480e-18
relative error = 2.3208878138900183076217014602704e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 71.78629000978902211909353446987
y[1] (numeric) = 71.786290009789022117427144121737
absolute error = 1.666390348133e-18
relative error = 2.3213211713626172310619649937369e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 71.93000974067076965388833962621
y[1] (numeric) = 71.930009740670769652218301990316
absolute error = 1.670037635894e-18
relative error = 2.3217536629217567251660987818217e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 72.07401719168738656420354622941
y[1] (numeric) = 72.074017191687386562529854004055
absolute error = 1.673692225355e-18
relative error = 2.3221852903018624670829663478209e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 72.2183129388688689264670856893
y[1] (numeric) = 72.218312938868868924789731558162
absolute error = 1.677354131138e-18
relative error = 2.3226160552349671544676035324545e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 72.36289755939839786096363494895
y[1] (numeric) = 72.362897559398397859282611581074
absolute error = 1.681023367876e-18
relative error = 2.3230459594243692612337327947263e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 72.50777163161464826532867530086
y[1] (numeric) = 72.507771631614648263643975350597
absolute error = 1.684699950263e-18
relative error = 2.3234750046137696359137970244650e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 72.65293573501410217001920126484
y[1] (numeric) = 72.652935735014102168330817371848
absolute error = 1.688383892992e-18
relative error = 2.3239031925014231212204322678530e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 72.7983904502533667250145044951
y[1] (numeric) = 72.798390450253366723322429284294
absolute error = 1.692075210806e-18
relative error = 2.3243305248105398460369051886506e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 72.944136359151496827018982610145
y[1] (numeric) = 72.944136359151496825323208691679
absolute error = 1.695773918466e-18
relative error = 2.3247570032450592399290595166048e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 73.090174044692322396457484853685
y[1] (numeric) = 73.090174044692322394758004822911
absolute error = 1.699480030774e-18
relative error = 2.3251826295212019647236806255254e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 73.236504091026780313572305670875
y[1] (numeric) = 73.236504091026780311869112108329
absolute error = 1.703193562546e-18
relative error = 2.3256074053303724822716179975426e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 73.38312708347525102294957369721
y[1] (numeric) = 73.383127083475251021242659168569
absolute error = 1.706914528641e-18
relative error = 2.3260313323788171447427197300416e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 73.530043608529899815821457381005
y[1] (numeric) = 73.530043608529899814110814437062
absolute error = 1.710642943943e-18
relative error = 2.3264544123628885885288497199699e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 73.67725425385702279950931957006
y[1] (numeric) = 73.677254253857022797794940746696
absolute error = 1.714378823364e-18
relative error = 2.3268766469731081722684979621950e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 73.82475960829939756339170196306
y[1] (numeric) = 73.824759608299397561673579781214
absolute error = 1.718122181846e-18
relative error = 2.3272980378968254484501267243900e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 73.972560261878638550799806431885
y[1] (numeric) = 73.972560261878638549077933397521
absolute error = 1.721873034364e-18
relative error = 2.3277185868221976575315384816922e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 74.12065680579755714626196393723
y[1] (numeric) = 74.120656805797557144536332541305
absolute error = 1.725631395925e-18
relative error = 2.3281382954367248023064559333109e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 74.269049832442526487537443162205
y[1] (numeric) = 74.269049832442526485808045880646
absolute error = 1.729397281559e-18
relative error = 2.3285571654150302927839231928896e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 74.417739935385851011898850152245
y[1] (numeric) = 74.417739935385851010165679445917
absolute error = 1.733170706328e-18
relative error = 2.3289751984309756042176434948422e-18 %
Correct digits = 19
h = 0.001
memory used=167.8MB, alloc=4.4MB, time=7.87
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 74.56672770938814074614130725031
y[1] (numeric) = 74.566727709388140744404355564985
absolute error = 1.736951685325e-18
relative error = 2.3293923961562193687613579310712e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 74.71601375040069034981557452982
y[1] (numeric) = 74.716013750400690348074834296138
absolute error = 1.740740233682e-18
relative error = 2.3298087602708391025858721947841e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 74.865598655567862921201289829825
y[1] (numeric) = 74.865598655567862919456753463282
absolute error = 1.744536366543e-18
relative error = 2.3302242924270749895901991510716e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 75.015483023229478575555554463885
y[1] (numeric) = 75.015483023229478573807214364784
absolute error = 1.748340099101e-18
relative error = 2.3306389942988232364588139968916e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 75.165667452923207805191180781635
y[1] (numeric) = 75.165667452923207803439029335071
absolute error = 1.752151446564e-18
relative error = 2.3310528675360794399931221385391e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 75.316152545386969630958045087295
y[1] (numeric) = 75.316152545386969629202074663116
absolute error = 1.755970424179e-18
relative error = 2.3314659137969352241524107797382e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 75.466938902561334554720155038
y[1] (numeric) = 75.466938902561334552960357990774
absolute error = 1.759797047226e-18
relative error = 2.3318781347394399212354363952663e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 75.618027127591932322440244634165
y[1] (numeric) = 75.618027127591932320676613303155
absolute error = 1.763631331010e-18
relative error = 2.3322895320109141683282428000604e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 75.76941782483186450750295235065
y[1] (numeric) = 75.769417824831864505735479059783
absolute error = 1.767473290867e-18
relative error = 2.3327001072558684356155191471442e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 75.921111599844121923926918918185
y[1] (numeric) = 75.921111599844121922155595976022
absolute error = 1.771322942163e-18
relative error = 2.3331098621146068767066571296640e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 76.073109059404006879135460826675
y[1] (numeric) = 76.073109059404006877360280526379
absolute error = 1.775180300296e-18
relative error = 2.3335187982257913667969476082029e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 76.225410811501560275974833862755
y[1] (numeric) = 76.225410811501560274195788482051
absolute error = 1.779045380704e-18
relative error = 2.3339269172368461526438934787918e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 76.378017465343993573688497990745
y[1] (numeric) = 76.378017465343993571905579791906
absolute error = 1.782918198839e-18
relative error = 2.3343342207697221488650755206803e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 76.530929631358125617575230716765
y[1] (numeric) = 76.530929631358125615788431946572
absolute error = 1.786798770193e-18
relative error = 2.3347407104550172289699291714043e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 76.684147921192824347078410817485
y[1] (numeric) = 76.684147921192824345287723707193
absolute error = 1.790687110292e-18
relative error = 2.3351463879239590895423239394865e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 76.837672947721453392073308046285
y[1] (numeric) = 76.837672947721453390278724811603
absolute error = 1.794583234682e-18
relative error = 2.3355512547900718587449211303364e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 76.991505325044323567138767228155
y[1] (numeric) = 76.991505325044323565340280069198
absolute error = 1.798487158957e-18
relative error = 2.3359553126856136336734888903192e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 77.14564566849114927361926709864
y[1] (numeric) = 77.145645668491149271816868199911
absolute error = 1.802398898729e-18
relative error = 2.3363585632223954956394359634821e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 77.30009459462350981930296541036
y[1] (numeric) = 77.300094594623509817496646940717
absolute error = 1.806318469643e-18
relative error = 2.3367610080112835025457830465700e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 77.454852721237315665561012301
y[1] (numeric) = 77.454852721237315663750766413622
absolute error = 1.810245887378e-18
relative error = 2.3371626486633927724011649997922e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 77.60992066736527961181312376835
y[1] (numeric) = 77.609920667365279609998942600706
absolute error = 1.814181167644e-18
relative error = 2.3375634867861130385216327998280e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 77.765299053279392927204156409625
y[1] (numeric) = 77.765299053279392925386032083438
absolute error = 1.818124326187e-18
relative error = 2.3379635239894689115243315018174e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 77.920988500493406439396213432835
y[1] (numeric) = 77.920988500493406437574138054066
absolute error = 1.822075378769e-18
relative error = 2.3383627618603200440103991203165e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 78.07698963176531659040064041683
y[1] (numeric) = 78.076989631765316588574606075623
absolute error = 1.826034341207e-18
relative error = 2.3387612020124365807865241340091e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 78.2333030710998564693941374626
y[1] (numeric) = 78.233303071099856467564136233278
absolute error = 1.830001229322e-18
relative error = 2.3391588460209348669427636087279e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 78.38992944375099183248312232185
y[1] (numeric) = 78.389929443750991830649146262857
absolute error = 1.833976058993e-18
relative error = 2.3395556954914430357289555734467e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 78.54686937622442211940042688813
y[1] (numeric) = 78.546869376224422117562468042011
absolute error = 1.837958846119e-18
relative error = 2.3399517520113119252693012545932e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 78.704123496280086477138397172135
y[1] (numeric) = 78.704123496280086475296447565509
absolute error = 1.841949606626e-18
relative error = 2.3403470171585849439936528326844e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.4MB, time=8.05
x[1] = 1.377
y[1] (analytic) = 78.8616924329346748005424946349
y[1] (numeric) = 78.86169243293467479869654627842
absolute error = 1.845948356480e-18
relative error = 2.3407414925184694635309111819606e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 79.019576816464143799909564601315
y[1] (numeric) = 79.019576816464143798059609489642
absolute error = 1.849955111673e-18
relative error = 2.3411351796654422698320632371728e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 79.17777727840623810565504550185
y[1] (numeric) = 79.177777278406238103801075613615
absolute error = 1.853969888235e-18
relative error = 2.3415280801784063194748858875447e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 79.33629445156301642013354097275
y[1] (numeric) = 79.336294451563016418275548270522
absolute error = 1.857992702228e-18
relative error = 2.3419201956329779185897344480615e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 79.495128970003382726717365465205
y[1] (numeric) = 79.495128970003382724855341895468
absolute error = 1.862023569737e-18
relative error = 2.3423115275900919970570522351316e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 79.654281469065622566257903052665
y[1] (numeric) = 79.654281469065622564391840545776
absolute error = 1.866062506889e-18
relative error = 2.3427020776198958028879543799160e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 79.81375258535994439107488866336
y[1] (numeric) = 79.813752585359944389204779133526
absolute error = 1.870109529834e-18
relative error = 2.3430918472777459024143824589817e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 79.97354295677102600663903108371
y[1] (numeric) = 79.973542956771026004764866428938
absolute error = 1.874164654772e-18
relative error = 2.3434808381380111195749805528979e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 80.133653222460566111133747858265
y[1] (numeric) = 80.133653222460566109255519960351
absolute error = 1.878227897914e-18
relative error = 2.3438690517451084360077399364898e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 80.2940840228698409431021737353
y[1] (numeric) = 80.294084022869840941219874459785
absolute error = 1.882299275515e-18
relative error = 2.3442564896547948283681746198870e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 80.45483599972226604740603665485
y[1] (numeric) = 80.454835999722266045519657850989
absolute error = 1.886378803861e-18
relative error = 2.3446431534177906597239362640379e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 80.61590979602596316974346853043
y[1] (numeric) = 80.615909796025963167853002031161
absolute error = 1.890466499269e-18
relative error = 2.3450290445797242840417724830170e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 80.77730605607633228999333231821
y[1] (numeric) = 80.777306056076332288098769940119
absolute error = 1.894562378091e-18
relative error = 2.3454141646860292164659351304947e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 80.939025425458628804674202180305
y[1] (numeric) = 80.939025425458628802775535723597
absolute error = 1.898666456708e-18
relative error = 2.3457985152744276353625636832068e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 81.101068551050545868826730014385
y[1] (numeric) = 81.101068551050545866923951262844
absolute error = 1.902778751541e-18
relative error = 2.3461820978884652203457070502232e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 81.263436081024801907648769322145
y[1] (numeric) = 81.263436081024801905741870043103
absolute error = 1.906899279042e-18
relative error = 2.3465649140662725936710503589741e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 81.426128664851733308233306407175
y[1] (numeric) = 81.426128664851733306322278351493
absolute error = 1.911028055682e-18
relative error = 2.3469469653257765384675952630884e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 81.58914695330189230177996931091
y[1] (numeric) = 81.589146953301892299864804212927
absolute error = 1.915165097983e-18
relative error = 2.3473282532040172888582337694305e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 81.752491598448650046671646796455
y[1] (numeric) = 81.75249159844865004475233637396
absolute error = 1.919310422495e-18
relative error = 2.3477087792287191636503594778441e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 81.91616325367080492282855315761
y[1] (numeric) = 81.916163253670804920905089111816
absolute error = 1.923464045794e-18
relative error = 2.3480885449158365581787134410040e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 82.080162573655196047772919747065
y[1] (numeric) = 82.080162573655196045845293762568
absolute error = 1.927625984497e-18
relative error = 2.3484675517878410884144297635356e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 82.2444902143993220248583809672
y[1] (numeric) = 82.244490214399322022926584711949
absolute error = 1.931796255251e-18
relative error = 2.3488458013601768659206580086168e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 82.40914683321396493413905113272
y[1] (numeric) = 82.409146833213964932203076257977
absolute error = 1.935974874743e-18
relative error = 2.3492232951533600861441475788502e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 82.574133088725819576374259180055
y[1] (numeric) = 82.574133088725819574434097320378
absolute error = 1.940161859677e-18
relative error = 2.3496000346649696127923402010825e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 82.7394496408801279806859207482
y[1] (numeric) = 82.739449640880127978741563521389
absolute error = 1.944357226811e-18
relative error = 2.3499760214144895579899113678916e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 82.905097150943319186406581773035
y[1] (numeric) = 82.905097150943319184458020780119
absolute error = 1.948560992916e-18
relative error = 2.3503512568935318902111377192612e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 83.07107628150565430967726450716
y[1] (numeric) = 83.071076281505654307724491332342
absolute error = 1.952773174818e-18
relative error = 2.3507257426165686324096832249719e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 83.237387696483876905375385883225
y[1] (numeric) = 83.237387696483876903418392093867
absolute error = 1.956993789358e-18
relative error = 2.3510994800725438333241084413906e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 83.4040320611238686349741994664
y[1] (numeric) = 83.404032061123868633012976612977
absolute error = 1.961222853423e-18
relative error = 2.3514724707621917558898541263904e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=175.4MB, alloc=4.4MB, time=8.23
x[1] = 1.406
y[1] (analytic) = 83.571010042003310250956435974515
y[1] (numeric) = 83.571010042003310248990975590591
absolute error = 1.965460383924e-18
relative error = 2.3518447161714898111746684928601e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 83.73832230703434790842608356851
y[1] (numeric) = 83.738322307034347906456377170691
absolute error = 1.969706397819e-18
relative error = 2.3522162177991675953144634757242e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 83.90596952546626481458355791531
y[1] (numeric) = 83.905969525466264812609597003224
absolute error = 1.973960912086e-18
relative error = 2.3525869771242962283060449150119e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 84.07395236788815822675086348609
y[1] (numeric) = 84.07395236788815822477263954235
absolute error = 1.978223943740e-18
relative error = 2.3529569956266000733756516251216e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 84.242271506231621809654741759865
y[1] (numeric) = 84.242271506231621807672246250019
absolute error = 1.982495509846e-18
relative error = 2.3533262748017776403466482301317e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 84.41092761377343336269723904142
y[1] (numeric) = 84.410927613773433360710463413944
absolute error = 1.986775627476e-18
relative error = 2.3536948161102963793775309828392e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 84.57992136513824792796460655964
y[1] (numeric) = 84.579921365138247925973542245881
absolute error = 1.991064313759e-18
relative error = 2.3540626210367552724709575372483e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 84.749253436301296289746968472465
y[1] (numeric) = 84.749253436301296287751606886621
absolute error = 1.995361585844e-18
relative error = 2.3544296910458818294671375673191e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 84.9189245045910888763627594553
y[1] (numeric) = 84.918924504591088874363091994372
absolute error = 1.999667460928e-18
relative error = 2.3547960276155984777163635945549e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 85.088935248692125075103542775715
y[1] (numeric) = 85.088935248692125073099560819486
absolute error = 2.003981956229e-18
relative error = 2.3551616322050552024370196145433e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 85.259286348647607971136472246215
y[1] (numeric) = 85.259286348647607969128167157212
absolute error = 2.008305089003e-18
relative error = 2.3555265062746516323715697317591e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 85.42997848586216452122335728454
y[1] (numeric) = 85.429978485862164519210720407993
absolute error = 2.012636876547e-18
relative error = 2.3558906512894322504589878485075e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 85.601012343104571173137029584635
y[1] (numeric) = 85.601012343104571171120052248448
absolute error = 2.016977336187e-18
relative error = 2.3562540687049173925892367022828e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 85.77238860451048494167749269796
y[1] (numeric) = 85.772388604510484939656166212677
absolute error = 2.021326485283e-18
relative error = 2.3566167599729234495264753133667e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 85.944107955585179952212162231155
y[1] (numeric) = 85.94410795558517995018647788992
absolute error = 2.025684341235e-18
relative error = 2.3569787265484771334890665241060e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 86.116171083206289462686374469725
y[1] (numeric) = 86.116171083206289460656323548254
absolute error = 2.030050921471e-18
relative error = 2.3573399698757448018045112558061e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 86.288578675626553375072255125855
y[1] (numeric) = 86.288578675626553373037828882393
absolute error = 2.034426243462e-18
relative error = 2.3577004914054203454487532088618e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 86.46133142247657124724599766912
y[1] (numeric) = 86.461331422476571245207187344417
absolute error = 2.038810324703e-18
relative error = 2.3580602925725810628529210861364e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 86.634430014767560816305602419955
y[1] (numeric) = 86.634430014767560814262399237223
absolute error = 2.043203182732e-18
relative error = 2.3584193748186708038826115813674e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 86.807875144894122044363173354815
y[1] (numeric) = 86.807875144894122042315568519689
absolute error = 2.047604835126e-18
relative error = 2.3587777395867249408512071177079e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 86.981667506637006697867959477615
y[1] (numeric) = 86.981667506637006695815944178133
absolute error = 2.052015299482e-18
relative error = 2.3591353882994069138382465127204e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 87.15580779516589347153846174245
y[1] (numeric) = 87.155807795165893469482027149
absolute error = 2.056434593450e-18
relative error = 2.3594923223969709708726269639704e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 87.33029670704216866800410495609
y[1] (numeric) = 87.330296707042168665943242221382
absolute error = 2.060862734708e-18
relative error = 2.3598485433083562228075971448121e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 87.505134940221712444279196934575
y[1] (numeric) = 87.505134940221712442213897193617
absolute error = 2.065299740958e-18
relative error = 2.3602040524466244928064148753798e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 87.68032319405769063621416452477
y[1] (numeric) = 87.680323194057690634144418894812
absolute error = 2.069745629958e-18
relative error = 2.3605588512455115010972466179433e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 87.85586216930335217209136801815
y[1] (numeric) = 87.855862169303352170017167598661
absolute error = 2.074200419489e-18
relative error = 2.3609129411215557236425412196533e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 88.031752568114832086555152070075
y[1] (numeric) = 88.031752568114832084476487942701
absolute error = 2.078664127374e-18
relative error = 2.3612663234957493418462800130886e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 88.207995094053960146088192582025
y[1] (numeric) = 88.207995094053960144005055810566
absolute error = 2.083136771459e-18
relative error = 2.3616189997718503942325604685928e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 88.384590452091075097268645197095
y[1] (numeric) = 88.384590452091075095181026827457
absolute error = 2.087618369638e-18
relative error = 2.3619709713647368190221417332669e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=179.2MB, alloc=4.4MB, time=8.41
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 88.561539348607844549065092189595
y[1] (numeric) = 88.561539348607844546972983249752
absolute error = 2.092108939843e-18
relative error = 2.3623222396889007980285029120044e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 88.738842491400090500448820688425
y[1] (numeric) = 88.738842491400090498352212188397
absolute error = 2.096608500028e-18
relative error = 2.3626728061403186807384530457464e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 88.91650058968062052462554645074
y[1] (numeric) = 88.916500589680620522524429382545
absolute error = 2.101117068195e-18
relative error = 2.3630226721257733310140997851768e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 89.09451435408206462121132388765
y[1] (numeric) = 89.094514354082064619105689225271
absolute error = 2.105634662379e-18
relative error = 2.3633718390458072397480212197065e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 89.272884496659717747700054828105
y[1] (numeric) = 89.272884496659717745589893527452
absolute error = 2.110161300653e-18
relative error = 2.3637203083002822989909818332810e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 89.451611730894388041592725681025
y[1] (numeric) = 89.451611730894388039478028679908
absolute error = 2.114697001117e-18
relative error = 2.3640680812759862586166919812787e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 89.63069677169525074458126531029
y[1] (numeric) = 89.630696771695250742462023528372
absolute error = 2.119241781918e-18
relative error = 2.3644151593689738917844687857174e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 89.81014033540270784020272416319
y[1] (numeric) = 89.810140335402707838078928501955
absolute error = 2.123795661235e-18
relative error = 2.3647615439676697392617911266102e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 89.989943139791253416402329081955
y[1] (numeric) = 89.989943139791253414273970424675
absolute error = 2.128358657280e-18
relative error = 2.3651072364539523594530842305538e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 90.170105904072344764466867871065
y[1] (numeric) = 90.170105904072344762333937082754
absolute error = 2.132930788311e-18
relative error = 2.3654522382175339439420397897063e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 90.350629348897279225812803181965
y[1] (numeric) = 90.350629348897279223675291109349
absolute error = 2.137512072616e-18
relative error = 2.3657965506380704918010514430687e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 90.531514196360076798136506703485
y[1] (numeric) = 90.531514196360076795994404174975
absolute error = 2.142102528510e-18
relative error = 2.3661401750818453506231287264322e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 90.712761170000368512457042102395
y[1] (numeric) = 90.712761170000368510310339928026
absolute error = 2.146702174369e-18
relative error = 2.3664831129392809322804731256587e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 90.894370994806290592605008736285
y[1] (numeric) = 90.894370994806290590453697707703
absolute error = 2.151311028582e-18
relative error = 2.3668253655717866529582043932666e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 91.07634439721738440873408795318
y[1] (numeric) = 91.076344397217384406578158843592
absolute error = 2.155929109588e-18
relative error = 2.3671669343525706508117007250958e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 91.258682105127502236455109890555
y[1] (numeric) = 91.258682105127502234294553454699
absolute error = 2.160556435856e-18
relative error = 2.3675078206445038981646694531425e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 91.44138484788771883321568118444
y[1] (numeric) = 91.441384847887718831050488158539
absolute error = 2.165193025901e-18
relative error = 2.3678480258176181896565183572023e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 91.62445335630924884357168298917
y[1] (numeric) = 91.624453356309248841401844090902
absolute error = 2.169838898268e-18
relative error = 2.3681875512314695346668826273004e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 91.807888362666370045020264283695
y[1] (numeric) = 91.807888362666370042845770212158
absolute error = 2.174494071537e-18
relative error = 2.3685263982405861334516327823276e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 91.99169060069935244608731769407
y[1] (numeric) = 91.991690600699352443908159129739
absolute error = 2.179158564331e-18
relative error = 2.3688645682031125621010988965695e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 92.17586080561739324838583408747
y[1] (numeric) = 92.175860805617393246202001692165
absolute error = 2.183832395305e-18
relative error = 2.3692020624687375887269861041775e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 92.36039971410155768438498808447
y[1] (numeric) = 92.360399714101557682196472501311
absolute error = 2.188515583159e-18
relative error = 2.3695388823927513900153193045874e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 92.545308064307725742653309487005
y[1] (numeric) = 92.545308064307725740460101340382
absolute error = 2.193208146623e-18
relative error = 2.3698750293196790330002209303002e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 92.73058659586954479236284552371
y[1] (numeric) = 92.730586595869544790164935419245
absolute error = 2.197910104465e-18
relative error = 2.3702105045919125925370556537673e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 92.9162360499013881188648158661
y[1] (numeric) = 92.916236049901388116662194390599
absolute error = 2.202621475501e-18
relative error = 2.3705453095603926363770515402353e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 93.10225716900131938217090666289
y[1] (numeric) = 93.102257169001319379963564384323
absolute error = 2.207342278567e-18
relative error = 2.3708794455543461809443101034799e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 93.28865069725406301019804147034
y[1] (numeric) = 93.288650697254063007985968937784
absolute error = 2.212072532556e-18
relative error = 2.3712129139210628678439223473190e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 93.475417380233980538658206018095
y[1] (numeric) = 93.475417380233980536441393761716
absolute error = 2.216812256379e-18
relative error = 2.3715457159838905279453647991028e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 93.66255796500805290949869033842
y[1] (numeric) = 93.662557965008052907277128869424
absolute error = 2.221561468996e-18
relative error = 2.3718778530754693283088495383282e-18 %
Correct digits = 19
memory used=183.1MB, alloc=4.4MB, time=8.59
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 93.85007320013886873982194599609
y[1] (numeric) = 93.850073200138868737595625806679
absolute error = 2.226320189411e-18
relative error = 2.3722093265322096123866486749891e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 94.03796383568761857323813808275
y[1] (numeric) = 94.037963835687618571007049646091
absolute error = 2.231088436659e-18
relative error = 2.3725401376803279157855027926099e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 94.22623062321709512562740137831
y[1] (numeric) = 94.226230623217095123391535148506
absolute error = 2.235866229804e-18
relative error = 2.3728702878337239228010629920306e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 94.41487431579469953731278772874
y[1] (numeric) = 94.414874315794699535072134140777
absolute error = 2.240653587963e-18
relative error = 2.3731997783194212499145108407708e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 94.60389566799545364366891734032
y[1] (numeric) = 94.603895667995453641423466810035
absolute error = 2.245450530285e-18
relative error = 2.3735286104551369594538751245351e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 94.79329543590501827621542044139
y[1] (numeric) = 94.793295435905018273965163365433
absolute error = 2.250257075957e-18
relative error = 2.3738567855556019495605395095306e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 94.98307437712271760626837770973
y[1] (numeric) = 94.983074377122717604013304465523
absolute error = 2.255073244207e-18
relative error = 2.3741843049356474062370235887360e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 95.17323325076456954324713810379
y[1] (numeric) = 95.173233250764569540987239049491
absolute error = 2.259899054299e-18
relative error = 2.3745111699048484420317896732297e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 95.363772817466322199758111365585
y[1] (numeric) = 95.363772817466322197493376840054
absolute error = 2.264734525531e-18
relative error = 2.3748373817653775241372996259017e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 95.55469383938649643560139957906
y[1] (numeric) = 95.554693839386496433331819901805
absolute error = 2.269579677255e-18
relative error = 2.3751629418329071476499846025354e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 95.745997080209434492870447867105
y[1] (numeric) = 95.745997080209434490596013338263
absolute error = 2.274434528842e-18
relative error = 2.3754878513998184466608739106688e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 95.937683305148354734339258690795
y[1] (numeric) = 95.937683305148354732059959591076
absolute error = 2.279299099719e-18
relative error = 2.3758121117738985100805357633790e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 96.12975328094841249735612737256
y[1] (numeric) = 96.129753280948412495071953963219
absolute error = 2.284173409341e-18
relative error = 2.3761357242489579723979911097451e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 96.32220777588976707548731849947
y[1] (numeric) = 96.322207775889767073198261022268
absolute error = 2.289057477202e-18
relative error = 2.3764586901162887646579258035813e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 96.51504755979065484017861387061
y[1] (numeric) = 96.515047559790654837884662547766
absolute error = 2.293951322844e-18
relative error = 2.3767810106739128627596147033404e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 96.708273404010468514727222732205
y[1] (numeric) = 96.70827340401046851242836776637
absolute error = 2.298854965835e-18
relative error = 2.3771026872036648781354029239644e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 96.901886081452842612881154293915
y[1] (numeric) = 96.901886081452842610577385868115
absolute error = 2.303768425800e-18
relative error = 2.3774237210032432168450524729369e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 97.09588636656874505440781103759
y[1] (numeric) = 97.095886366568745052099119315209
absolute error = 2.308691722381e-18
relative error = 2.3777441133447541156451044597274e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 97.290275035359574969998269215165
y[1] (numeric) = 97.29027503535957496768464433988
absolute error = 2.313624875285e-18
relative error = 2.3780638655242024186235785863089e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 97.485052865380266707898470283045
y[1] (numeric) = 97.485052865380266705579902378814
absolute error = 2.318567904231e-18
relative error = 2.3783829788067846900944221667626e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 97.680220635742400054683353936615
y[1] (numeric) = 97.680220635742400052359833107615
absolute error = 2.323520829000e-18
relative error = 2.3787014544782825869598830422693e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 97.875779127117316682614819988185
y[1] (numeric) = 97.875779127117316680286336318788
absolute error = 2.328483669397e-18
relative error = 2.3790192938059318131733152901970e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 98.071729121739242836049312675635
y[1] (numeric) = 98.071729121739242833715856230356
absolute error = 2.333456445279e-18
relative error = 2.3793364980670563712926836270475e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 98.268071403408418269385777195565
y[1] (numeric) = 98.268071403408418267047338019024
absolute error = 2.338439176541e-18
relative error = 2.3796530685346201574727015117659e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 98.464806757494231449069744424745
y[1] (numeric) = 98.464806757494231446726312541643
absolute error = 2.343431883102e-18
relative error = 2.3799690064629509002103848595735e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 98.661935970938361032194356026515
y[1] (numeric) = 98.661935970938361029845921441575
absolute error = 2.348434584940e-18
relative error = 2.3802843131232997835023283972038e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 98.85945983225792363426424853477
y[1] (numeric) = 98.859459832257923631910801232704
absolute error = 2.353447302066e-18
relative error = 2.3805989897772718720030690223248e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 99.05737913154862789871337166818
y[1] (numeric) = 99.05737913154862789635490161365
absolute error = 2.358470054530e-18
relative error = 2.3809130376828782916481135199517e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.4MB, time=8.77
x[1] = 1.492
y[1] (analytic) = 99.25569466048793488079302315131
y[1] (numeric) = 99.255694660487934878429520288888
absolute error = 2.363502862422e-18
relative error = 2.3812264580954786756013419640914e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 99.454407212338224758471639808625
y[1] (numeric) = 99.454407212338224756103094062754
absolute error = 2.368545745871e-18
relative error = 2.3815392522667012933983980326377e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 99.653517581949969883013192752845
y[1] (numeric) = 99.653517581949969880639594027788
absolute error = 2.373598725057e-18
relative error = 2.3818514214564212221192705784143e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 99.85302656576491418192639321191
y[1] (numeric) = 99.853026565764914179547731391727
absolute error = 2.378661820183e-18
relative error = 2.3821629669045360073703927907829e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 100.05293496181925892700232503068
y[1] (numeric) = 100.05293496181925892461858997917
absolute error = 2.38373505151e-18
relative error = 2.3824738898660455957854016598534e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 100.25324356974685488018358024548
y[1] (numeric) = 100.25324356974685487779476180617
absolute error = 2.38881843931e-18
relative error = 2.3827841915639197925820298659565e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 100.45395319078240083003348546436
y[1] (numeric) = 100.45395319078240082763957346041
absolute error = 2.39391200395e-18
relative error = 2.3830938732729375961306908105295e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 100.65506462776464853159956919446
y[1] (numeric) = 100.65506462776464852920055342869
absolute error = 2.39901576577e-18
relative error = 2.3834029361978637602233865164679e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 100.85657868513961406249103384399
y[1] (numeric) = 100.85657868513961406008690409877
absolute error = 2.40412974522e-18
relative error = 2.3837113816098827383121966865169e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 101.05849616896379560801566099003
y[1] (numeric) = 101.0584961689637956056064070273
absolute error = 2.40925396273e-18
relative error = 2.3840192107171975462092431556734e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 101.26081788690739768824729475062
y[1] (numeric) = 101.26081788690739768583290631182
absolute error = 2.41438843880e-18
relative error = 2.3843264247544364112894746506101e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 101.46354464825756183992081582973
y[1] (numeric) = 101.46354464825756183750128263575
absolute error = 2.41953319398e-18
relative error = 2.3846330249625777841428867652963e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 101.66667726392160376607733812266
y[1] (numeric) = 101.66667726392160376365264987383
absolute error = 2.42468824883e-18
relative error = 2.3849390125494420450435928814486e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 101.87021654643025696640823077901
y[1] (numeric) = 101.87021654643025696397837715502
absolute error = 2.42985362399e-18
relative error = 2.3852443887586367316913787517156e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 102.07416330994092286127249142386
y[1] (numeric) = 102.07416330994092285883746208375
absolute error = 2.43502934011e-18
relative error = 2.3855491548005217875771137805767e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 102.27851837024092742238797094044
y[1] (numeric) = 102.27851837024092741994775552254
absolute error = 2.44021541790e-18
relative error = 2.3858533119013266999808985372050e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 102.48328254475078432322297692116
y[1] (numeric) = 102.48328254475078432077756504307
absolute error = 2.44541187809e-18
relative error = 2.3861568612638613418749760477788e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 102.68845665252746462214086170445
y[1] (numeric) = 102.68845665252746461969024296296
absolute error = 2.45061874149e-18
relative error = 2.3864598041260785398405354850306e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 102.89404151426767299137633193511
y[1] (numeric) = 102.8940415142676729889204959062
absolute error = 2.45583602891e-18
relative error = 2.3867621416828734271680030830599e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 103.10003795231113050494839992199
y[1] (numeric) = 103.10003795231113050248733616077
absolute error = 2.46106376122e-18
relative error = 2.3870638751446083620078139555181e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 103.30644679064386399864113282165
y[1] (numeric) = 103.30644679064386399617483086232
absolute error = 2.46630195933e-18
relative error = 2.3873650057174990523280470688153e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 103.5132688549015020152096439569
y[1] (numeric) = 103.51326885490150201273809331269
absolute error = 2.47155064421e-18
relative error = 2.3876655346228770223055259679362e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.514
y[1] (analytic) = 103.72050497237257734799511148872
y[1] (numeric) = 103.7205049723725773455183016519
absolute error = 2.47680983682e-18
relative error = 2.3879654630294494914530656693135e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 103.9281559720018361961590033052
y[1] (numeric) = 103.92815597200183619367692374696
absolute error = 2.48207955824e-18
relative error = 2.3882647921788108013613617938029e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 104.13622268439355394477313347624
y[1] (numeric) = 104.13622268439355394228577364673
absolute error = 2.48735982951e-18
relative error = 2.3885635232309706944535330121165e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 104.34470594181485758302867505578
y[1] (numeric) = 104.34470594181485758053602438401
absolute error = 2.49265067177e-18
relative error = 2.3888616573992384026671832066425e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 104.55360657819905477385380649703
y[1] (numeric) = 104.55360657819905477135585439084
absolute error = 2.49795210619e-18
relative error = 2.3891591958826404441411294997735e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 104.76292542914896958825627459032
y[1] (numeric) = 104.76292542914896958575301043636
absolute error = 2.50326415396e-18
relative error = 2.3894561398564173318403063572165e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 104.97266333194028491773381574144
y[1] (numeric) = 104.9726633319402849152252289051
absolute error = 2.50858683634e-18
relative error = 2.3897524905197925426927207129646e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=190.7MB, alloc=4.4MB, time=8.95
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 105.1828211255248915781220896886
y[1] (numeric) = 105.18282112552489157560816951399
absolute error = 2.51392017461e-18
relative error = 2.3900482490480974328665041964009e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 105.39339965053424411827654551532
y[1] (numeric) = 105.39339965053424411575728132519
absolute error = 2.51926419013e-18
relative error = 2.3903434166498392585915010035308e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 105.60439974928272334701145916101
y[1] (numeric) = 105.60439974928272334448684025677
absolute error = 2.52461890424e-18
relative error = 2.3906379944715773910658661816692e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 105.81582226577100559174625466899
y[1] (numeric) = 105.81582226577100558921627033062
absolute error = 2.52998433837e-18
relative error = 2.3909319837023956813371976861755e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 106.02766804568943870233614824928
y[1] (numeric) = 106.02766804568943869980078773529
absolute error = 2.53536051399e-18
relative error = 2.3912253855262218379124358662313e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 106.23993793642142481359113498027
y[1] (numeric) = 106.23993793642142481105038752767
absolute error = 2.54074745260e-18
relative error = 2.3915182011123662342412874299170e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 106.45263278704680988001437273555
y[1] (numeric) = 106.4526327870468098774682275598
absolute error = 2.54614517575e-18
relative error = 2.3918104316343557380942925381591e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 106.66575344834527999631810680875
y[1] (numeric) = 106.66575344834527999376655310372
absolute error = 2.55155370503e-18
relative error = 2.3921020782604171363470225578628e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 106.87930077279976451730242182856
y[1] (numeric) = 106.87930077279976451474544876649
absolute error = 2.55697306207e-18
relative error = 2.3923931421534304875782279731167e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 107.09327561459984599070930501645
y[1] (numeric) = 107.09327561459984598814690174789
absolute error = 2.56240326856e-18
relative error = 2.3926836244895584048972754777496e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 107.30767882964517691669175674983
y[1] (numeric) = 107.30767882964517691412391240363
absolute error = 2.56784434620e-18
relative error = 2.3929735264114190908449109688525e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 107.52251127554890334756499086292
y[1] (numeric) = 107.52251127554890334499169454615
absolute error = 2.57329631677e-18
relative error = 2.3932628490934242273214585675945e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 107.7377738116410953415341282548
y[1] (numeric) = 107.73777381164109533895536905272
absolute error = 2.57875920208e-18
relative error = 2.3935515936949537905981503111172e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 107.95346729897218428412020328936
y[1] (numeric) = 107.95346729897218428153597026539
absolute error = 2.58423302397e-18
relative error = 2.3938397613604063102475650426126e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 108.16959260031640709103377327444
y[1] (numeric) = 108.1695926003164070884440554701
absolute error = 2.58971780434e-18
relative error = 2.3941273532469833960398472930829e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 108.38615058017525730627294710659
y[1] (numeric) = 108.38615058017525730367773354146
absolute error = 2.59521356513e-18
relative error = 2.3944143705060104680703005946182e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 108.6031421047809431092502300753
y[1] (numeric) = 108.60314210478094310664950974698
absolute error = 2.60072032832e-18
relative error = 2.3947008142828960714133727912255e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 108.82056804209985224478021794458
y[1] (numeric) = 108.82056804209985224217397982863
absolute error = 2.60623811595e-18
relative error = 2.3949866857354706547968102075521e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 109.0384292618360238897878648826
y[1] (numeric) = 109.03842926183602388717609793253
absolute error = 2.61176695007e-18
relative error = 2.3952719859879080526218007340013e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 109.25672663543462747062479670177
y[1] (numeric) = 109.25672663543462746800748984896
absolute error = 2.61730685281e-18
relative error = 2.3955567161950314203983831400826e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 109.47546103608544844490894331266
y[1] (numeric) = 109.47546103608544844228608546633
absolute error = 2.62285784633e-18
relative error = 2.3958408774962364171538328340171e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 109.69463333872638106183062239828
y[1] (numeric) = 109.69463333872638105920220244545
absolute error = 2.62841995283e-18
relative error = 2.3961244710246619755418938307509e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 109.91424442004692811489612018985
y[1] (numeric) = 109.9142444200469281122621269953
absolute error = 2.63399319455e-18
relative error = 2.3964074979071537988524553165748e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 110.13429515849170770110778498492
y[1] (numeric) = 110.13429515849170769846820739112
absolute error = 2.63957759380e-18
relative error = 2.3966899592914678894689138837993e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 110.35478643426396700060767480366
y[1] (numeric) = 110.35478643426396699796250163075
absolute error = 2.64517317291e-18
relative error = 2.3969718563006546258362296863618e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 110.57571912932910309083988244318
y[1] (numeric) = 110.57571912932910308818910248892
absolute error = 2.65077995426e-18
relative error = 2.3972531900603368000513921849321e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 110.79709412741819080931479927348
y[1] (numeric) = 110.7970941274181908066584013132
absolute error = 2.65639796028e-18
relative error = 2.3975339616985853455369254788191e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 111.01891231403151767908677353588
y[1] (numeric) = 111.01891231403151767642474632244
absolute error = 2.66202721344e-18
relative error = 2.3978141723367886756866697399709e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 111.24117457644212591108486976788
y[1] (numeric) = 111.24117457644212590841720203162
absolute error = 2.66766773626e-18
relative error = 2.3980938230986100387505452451207e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=194.5MB, alloc=4.4MB, time=9.13
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 111.46388180369936149746474340008
y[1] (numeric) = 111.46388180369936149479142384878
absolute error = 2.67331955130e-18
relative error = 2.3983729151008946072907490705775e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 111.68703488663243041017800866486
y[1] (numeric) = 111.68703488663243040749902598371
absolute error = 2.67898268115e-18
relative error = 2.3986514494446851876464240824745e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 111.91063471785396191898389883589
y[1] (numeric) = 111.91063471785396191629924168739
absolute error = 2.68465714850e-18
relative error = 2.3989294272778314012998064417616e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 112.134682191763579043156495596
y[1] (numeric) = 112.13468219176357904046615261998
absolute error = 2.69034297602e-18
relative error = 2.3992068496874098919644315577091e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 112.35917820455147615116933912328
y[1] (numeric) = 112.35917820455147614847329893682
absolute error = 2.69604018646e-18
relative error = 2.3994837177892318109119382158220e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 112.58412365420200372266782240372
y[1] (numeric) = 112.5841236542020037199660736011
absolute error = 2.70174880262e-18
relative error = 2.3997600327008114470417315814291e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 112.80951944049726028706842243968
y[1] (numeric) = 112.80951944049726028436095359237
absolute error = 2.70746884731e-18
relative error = 2.4000357955057924454832896151370e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 113.03536646502069155315252754052
y[1] (numeric) = 113.0353664650206915504393271971
absolute error = 2.71320034342e-18
relative error = 2.4003110073161148116706777793892e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 113.26166563116069674405138386937
y[1] (numeric) = 113.26166563116069674133244055547
absolute error = 2.71894331390e-18
relative error = 2.4005856692539764129361453157009e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 113.4884178441142421520475059943
y[1] (numeric) = 113.48841784411424214932280821261
absolute error = 2.72469778169e-18
relative error = 2.4008597823899514280349549659596e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 113.71562401089048192764677546776
y[1] (numeric) = 113.71562401089048192491631169794
absolute error = 2.73046376982e-18
relative error = 2.4011333478313455033195151178857e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 113.94328504031438611740438855017
y[1] (numeric) = 113.94328504031438611466814724881
absolute error = 2.73624130136e-18
relative error = 2.4014063666778500945356803386742e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 114.17140184303037596501680921902
y[1] (numeric) = 114.17140184303037596227477881961
absolute error = 2.74203039941e-18
relative error = 2.4016788400127610289797233371594e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 114.39997533150596649022093667829
y[1] (numeric) = 114.39997533150596648747310559115
absolute error = 2.74783108714e-18
relative error = 2.4019507689380088490515494131418e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 114.62900642003541636007080782159
y[1] (numeric) = 114.62900642003541635731716443385
absolute error = 2.75364338774e-18
relative error = 2.4022221545302557812679423965352e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 114.85849602474338506719132462244
y[1] (numeric) = 114.85849602474338506443185729798
absolute error = 2.75946732446e-18
relative error = 2.4024929978758749429587373070870e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 115.0884450635885974296377243427
y[1] (numeric) = 115.08844506358859742687242142211
absolute error = 2.76530292059e-18
relative error = 2.4027633000533776591924405023608e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 115.31885445636751542701879688318
y[1] (numeric) = 115.31885445636751542424764668369
absolute error = 2.77115019949e-18
relative error = 2.4030330621594086595183286257105e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 115.54972512471801738757119866491
y[1] (numeric) = 115.54972512471801738479418948038
absolute error = 2.77700918453e-18
relative error = 2.4033022852565413184651463517673e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 115.7810579921230845409016162441
y[1] (numeric) = 115.78105799212308453811873634493
absolute error = 2.78287989917e-18
relative error = 2.4035709704426152793846428722928e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 116.01285398391449495114299554463
y[1] (numeric) = 116.01285398391449494835423317777
absolute error = 2.78876236686e-18
relative error = 2.4038391187640894196217234058842e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 116.24511402727652484530057425852
y[1] (numeric) = 116.24511402727652484250591764736
absolute error = 2.79465661116e-18
relative error = 2.4041067313196864602189148356985e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 116.47783905124965735159303573325
y[1] (numeric) = 116.47783905124965734879247307762
absolute error = 2.80056265563e-18
relative error = 2.4043738091653354432093474505792e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 116.7110299867342986626237426559
y[1] (numeric) = 116.71102998673429865981726213199
absolute error = 2.80648052391e-18
relative error = 2.4046403533830456363188842096906e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 116.94468776649450163824670817364
y[1] (numeric) = 116.94468776649450163543429793399
absolute error = 2.81241023965e-18
relative error = 2.4049063650206913141493788900880e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 117.17881332516169686302172087946
y[1] (numeric) = 117.17881332516169686020336905287
absolute error = 2.81835182659e-18
relative error = 2.4051718451605260891355709481642e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 117.41340759923843117318285845822
y[1] (numeric) = 117.41340759923843117035855314973
absolute error = 2.82430530849e-18
relative error = 2.4054367948591239564521730838354e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 117.64847152710211366807450285191
y[1] (numeric) = 117.64847152710211366524423214276
absolute error = 2.83027070915e-18
relative error = 2.4057012151645371118585740255064e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 117.88400604900876922103890768282
y[1] (numeric) = 117.88400604900876921820265963038
memory used=198.3MB, alloc=4.4MB, time=9.32
absolute error = 2.83624805244e-18
relative error = 2.4059651071417322830903684514470e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 118.12001210709679950476936648954
y[1] (numeric) = 118.12001210709679950192712912726
absolute error = 2.84223736228e-18
relative error = 2.4062284718553925628371545057428e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 118.35649064539075154617308820316
y[1] (numeric) = 118.35649064539075154332484954054
absolute error = 2.84823866262e-18
relative error = 2.4064913103529241583794130061473e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 118.59344260980509382581800433996
y[1] (numeric) = 118.59344260980509382296375236251
absolute error = 2.85425197745e-18
relative error = 2.4067536236729631365322986282983e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 118.8308689481479999370679107327
y[1] (numeric) = 118.83086894814799993420763340185
absolute error = 2.86027733085e-18
relative error = 2.4070154128874422633442002773751e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 119.06877061012513982004058538562
y[1] (numeric) = 119.06877061012513981717427063872
absolute error = 2.86631474690e-18
relative error = 2.4072766790255747130334702088741e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 119.3071485473434785855538233411
y[1] (numeric) = 119.30714854734347858268145909134
absolute error = 2.87236424976e-18
relative error = 2.4075374231412361981276708679699e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 119.54600371331508294425468940675
y[1] (numeric) = 119.54600371331508294137626354312
absolute error = 2.87842586363e-18
relative error = 2.4077976462791618573094279548637e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 119.7853370634609352561577103355
y[1] (numeric) = 119.78533706346093525327321072274
absolute error = 2.88449961276e-18
relative error = 2.4080573494832879958531679040872e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 120.02514955511475521584820969668
y[1] (numeric) = 120.02514955511475521295762417525
absolute error = 2.89058552143e-18
relative error = 2.4083165337799993638702803612072e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 120.26544214752682918863753134713
y[1] (numeric) = 120.26544214752682918574084773315
absolute error = 2.89668361398e-18
relative error = 2.4085752002031517736544899007379e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 120.50621580186784721298750122892
y[1] (numeric) = 120.5062158018678472100847073141
absolute error = 2.90279391482e-18
relative error = 2.4088333498021988948807453644191e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 120.74747148123274768455214230758
y[1] (numeric) = 120.74747148123274768164322585919
absolute error = 2.90891644839e-18
relative error = 2.4090909836088122005954968403191e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 120.9892101506445697372153839439
y[1] (numeric) = 120.98921015064456973430033270473
absolute error = 2.91505123917e-18
relative error = 2.4093481026452258984899041663983e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 121.23143277705831333653429498679
y[1] (numeric) = 121.23143277705831333361309667508
absolute error = 2.92119831171e-18
relative error = 2.4096047079489800123238112040653e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 121.47414032936480710102821950667
y[1] (numeric) = 121.47414032936480709810086181608
absolute error = 2.92735769059e-18
relative error = 2.4098608005397417284855733395606e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 121.71733377839458386678510548331
y[1] (numeric) = 121.71733377839458386385157608286
absolute error = 2.93352940045e-18
relative error = 2.4101163814440336299132476299713e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 121.96101409692176401088729004064
y[1] (numeric) = 121.96101409692176400794757657466
absolute error = 2.93971346598e-18
relative error = 2.4103714516868689447024888883133e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 122.20518225966794654919004010953
y[1] (numeric) = 122.20518225966794654624413019762
absolute error = 2.94590991191e-18
relative error = 2.4106260122834864195225740537634e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 122.44983924330610802401724482084
y[1] (numeric) = 122.44983924330610802106512605781
absolute error = 2.95211876303e-18
relative error = 2.4108800642556839511504537317571e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 122.69498602646450919736981561001
y[1] (numeric) = 122.69498602646450919441147556583
absolute error = 2.95834004418e-18
relative error = 2.4111336086235058736507436045520e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 122.94062358973060956527357207566
y[1] (numeric) = 122.94062358973060956230899829543
absolute error = 2.96457378023e-18
relative error = 2.4113866463888952565948523477981e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 123.18675291565498970892467620323
y[1] (numeric) = 123.1867529156549897059538562071
absolute error = 2.97081999613e-18
relative error = 2.4116391785763663349044037151159e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 123.43337498875528149832202476507
y[1] (numeric) = 123.43337498875528149534494604821
absolute error = 2.97707871686e-18
relative error = 2.4118912061921748284878668882097e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 123.68049079552010616410741966686
y[1] (numeric) = 123.68049079552010616112406969941
absolute error = 2.98334996745e-18
relative error = 2.4121427302405735872815427479066e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 123.92810132441302025336580885184
y[1] (numeric) = 123.92810132441302025037617507886
absolute error = 2.98963377298e-18
relative error = 2.4123937517237358213288087287477e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 124.1762075658764694851694262251
y[1] (numeric) = 124.17620756587646948217349606649
absolute error = 2.99593015861e-18
relative error = 2.4126442716658383471651490467252e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 124.42481051233575052168125804616
y[1] (numeric) = 124.42481051233575051867901889665
absolute error = 3.00223914951e-18
relative error = 2.4128942910564861819929251271774e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 124.67391115820298067066492548624
y[1] (numeric) = 124.67391115820298066765636471533
absolute error = 3.00856077091e-18
relative error = 2.4131438108910649023440530630095e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.4MB, time=9.49
x[1] = 1.607
y[1] (analytic) = 124.92351049988107553527979868265
y[1] (numeric) = 124.92351049988107553226490363455
absolute error = 3.01489504810e-18
relative error = 2.4133928321705865882685505997175e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 125.17360953576773462707194677416
y[1] (numeric) = 125.17360953576773462405070476774
absolute error = 3.02124200642e-18
relative error = 2.4136413558935481244349149691511e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 125.4242092662594349581033811955
y[1] (numeric) = 125.42420926625943495507577952424
absolute error = 3.02760167126e-18
relative error = 2.4138893830558594698108248579578e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 125.67531069375543262819396607256
y[1] (numeric) = 125.67531069375543262515999200449
absolute error = 3.03397406807e-18
relative error = 2.4141369146587297087012524202812e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 125.92691482266177242328235002152
y[1] (numeric) = 125.92691482266177242024199079921
absolute error = 3.04035922231e-18
relative error = 2.4143839516688117919717052795040e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 126.17902265939530544094431814177
y[1] (numeric) = 126.17902265939530543789756098223
absolute error = 3.04675715954e-18
relative error = 2.4146304950897779756389081233298e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 126.43163521238771475913907163272
y[1] (numeric) = 126.43163521238771475608590372737
absolute error = 3.05316790535e-18
relative error = 2.4148765459064884274373081227816e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 126.68475349208954916428611538731
y[1] (numeric) = 126.68475349208954916122652390194
absolute error = 3.05959148537e-18
relative error = 2.4151221050929755700600846561967e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 126.9383785109742649548076712481
y[1] (numeric) = 126.93837851097426495174164332278
absolute error = 3.06602792532e-18
relative error = 2.4153671736518449435936327421916e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 127.19251128354227583630383648448
y[1] (numeric) = 127.19251128354227583323135923356
absolute error = 3.07247725092e-18
relative error = 2.4156117525431347616605914631118e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 127.44715282632501092456007359178
y[1] (numeric) = 127.44715282632501092148113410379
absolute error = 3.07893948799e-18
relative error = 2.4158558427631077572970222123776e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 127.70230415788898087261904885254
y[1] (numeric) = 127.70230415788898086953363419018
absolute error = 3.08541466236e-18
relative error = 2.4160994452733172370867773877627e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 127.95796629883985213818133336923
y[1] (numeric) = 127.9579662988398521350894305693
absolute error = 3.09190279993e-18
relative error = 2.4163425610477470886126531437923e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 128.21414027182652940763204160321
y[1] (numeric) = 128.21414027182652940453363767654
absolute error = 3.09840392667e-18
relative error = 2.4165851910725917944218791339506e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 128.4708271015452461930231089699
y[1] (numeric) = 128.47082710154524618991819090132
absolute error = 3.10491806858e-18
relative error = 2.4168273363149026286557254964052e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 128.72802781474366361837360187338
y[1] (numeric) = 128.72802781474366361526215662167
absolute error = 3.11144525171e-18
relative error = 2.4170689977382186519830165522584e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 128.98574344022497741168321084668
y[1] (numeric) = 128.98574344022497740856522534452
absolute error = 3.11798550216e-18
relative error = 2.4173101763025056361476903404118e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 129.24397500885203311908690032777
y[1] (numeric) = 129.24397500885203311596236148167
absolute error = 3.12453884610e-18
relative error = 2.4175508729795703018675137120645e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 129.50272355355144955761157717672
y[1] (numeric) = 129.50272355355144955448047186697
absolute error = 3.13110530975e-18
relative error = 2.4177910887374023641335714505644e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 129.76199010931775052302859445874
y[1] (numeric) = 129.76199010931775051989090953935
absolute error = 3.13768491939e-18
relative error = 2.4180308245478225909227193836963e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 130.02177571321750476932892741191
y[1] (numeric) = 130.02177571321750476618464971061
absolute error = 3.14427770130e-18
relative error = 2.4182700813402020294540587976689e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 130.28208140439347427638094502058
y[1] (numeric) = 130.2820814043934742732300613387
absolute error = 3.15088368188e-18
relative error = 2.4185088600938973295830232278620e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 130.5429082240687708223638533561
y[1] (numeric) = 130.54290822406877081920635046857
absolute error = 3.15750288753e-18
relative error = 2.4187471617457326485905492196797e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 130.80425721555102087760310596122
y[1] (numeric) = 130.80425721555102087443897061647
absolute error = 3.16413534475e-18
relative error = 2.4189849872667776898656311983587e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 131.06612942423653883646736217258
y[1] (numeric) = 131.06612942423653883329658109253
absolute error = 3.17078108005e-18
relative error = 2.4192223375932426357352399168368e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 131.32852589761450860401992653382
y[1] (numeric) = 131.32852589761450860084248641379
absolute error = 3.17744012003e-18
relative error = 2.4194592136876455957934162159389e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 131.59144768527117355415102148014
y[1] (numeric) = 131.59144768527117355096690898882
absolute error = 3.18411249132e-18
relative error = 2.4196956164928587284407911061846e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 131.85489583889403487595073141034
y[1] (numeric) = 131.85489583889403487275993318973
absolute error = 3.19079822061e-18
relative error = 2.4199315469549603027733792270543e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 132.11887141227605832511600923568
y[1] (numeric) = 132.11887141227605832191851190103
absolute error = 3.19749733465e-18
relative error = 2.4201670060231069206479684734866e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=206.0MB, alloc=4.4MB, time=9.68
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 132.3833754613198893972187566427
y[1] (numeric) = 132.38337546131988939401454678247
absolute error = 3.20420986023e-18
relative error = 2.4204019946342992051569724990019e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 132.64840904404207693969567676256
y[1] (numeric) = 132.64840904404207693648474093838
absolute error = 3.21093582418e-18
relative error = 2.4206365137134071500246747258732e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 132.91397322057730521945435283776
y[1] (numeric) = 132.91397322057730521623667758432
absolute error = 3.21767525344e-18
relative error = 2.4208705642258612994584062300620e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 133.18006905318263446302382895322
y[1] (numeric) = 133.18006905318263445979940077828
absolute error = 3.22442817494e-18
relative error = 2.4211041470870487621429179997199e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 133.44669760624174988621185908836
y[1] (numeric) = 133.44669760624174988298066447265
absolute error = 3.23119461571e-18
relative error = 2.4213372632451461909587118510104e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 133.71385994626921923026494878424
y[1] (numeric) = 133.71385994626921922702697418142
absolute error = 3.23797460282e-18
relative error = 2.4215699136358253523468156077492e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 133.98155714191475882156133974283
y[1] (numeric) = 133.98155714191475881831657157947
absolute error = 3.24476816336e-18
relative error = 2.4218020991673543485027116750708e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 134.24979026396750817190118181846
y[1] (numeric) = 134.24979026396750816864960649394
absolute error = 3.25157532452e-18
relative error = 2.4220338207803659701854111155461e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 134.51856038536031313649229926141
y[1] (numeric) = 134.51856038536031313323390314787
absolute error = 3.25839611354e-18
relative error = 2.4222650794102700065988512271706e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 134.78786858117401764676418886775
y[1] (numeric) = 134.78786858117401764349895831005
absolute error = 3.26523055770e-18
relative error = 2.4224958759797902510343728318737e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 135.05771592864176403517718701373
y[1] (numeric) = 135.0577159286417640319051083294
absolute error = 3.27207868433e-18
relative error = 2.4227262114063995327131036093038e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 135.32810350715330196922811054506
y[1] (numeric) = 135.32810350715330196594917002424
absolute error = 3.27894052082e-18
relative error = 2.4229560866096661397039517282148e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 135.59903239825930601188811328896
y[1] (numeric) = 135.59903239825930600860229719434
absolute error = 3.28581609462e-18
relative error = 2.4231855025111375679425645984453e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 135.87050368567570182574300569712
y[1] (numeric) = 135.8705036856757018224503002639
absolute error = 3.29270543322e-18
relative error = 2.4234144600195054059045591143998e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 136.14251845528800103814085994922
y[1] (numeric) = 136.142518455288001034841251385
absolute error = 3.29960856422e-18
relative error = 2.4236429600820549056840464733542e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 136.41507779515564478468636688698
y[1] (numeric) = 136.41507779515564478137984137179
absolute error = 3.30652551519e-18
relative error = 2.4238710035815563793744198746676e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 136.68818279551635594845612454798
y[1] (numeric) = 136.68818279551635594514266823417
absolute error = 3.31345631381e-18
relative error = 2.4240985914392359251546243937699e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 136.961834548790500112343820963
y[1] (numeric) = 136.96183454879050010902341997519
absolute error = 3.32040098781e-18
relative error = 2.4243257245704892735135314498397e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 137.23603414958545524197912641244
y[1] (numeric) = 137.23603414958545523865176684748
absolute error = 3.32735956496e-18
relative error = 2.4245524038775575874477741856155e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 137.51078269469999011669903264353
y[1] (numeric) = 137.51078269469999011336470057044
absolute error = 3.33433207309e-18
relative error = 2.4247786302641076502665907134057e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 137.78608128312865152608536877169
y[1] (numeric) = 137.78608128312865152274405023159
absolute error = 3.34131854010e-18
relative error = 2.4250044046423801905562973572738e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 138.06193101606616024961728586558
y[1] (numeric) = 138.06193101606616024626896687164
absolute error = 3.34831899394e-18
relative error = 2.4252297279185228153090607084299e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 138.3383329969118158370226346872
y[1] (numeric) = 138.33833299691181583366730122459
absolute error = 3.35533346261e-18
relative error = 2.4254546009925553352360100657058e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 138.61528833127391020694736386549
y[1] (numeric) = 138.61528833127391020358500189133
absolute error = 3.36236197416e-18
relative error = 2.4256790247583356358306702004507e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 138.89279812697415008159733906593
y[1] (numeric) = 138.89279812697415007822793450922
absolute error = 3.36940455671e-18
relative error = 2.4259030001179256852441640401778e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 139.1708634940520882750423276199
y[1] (numeric) = 139.17086349405208827166586638148
absolute error = 3.37646123842e-18
relative error = 2.4261265279598583968107899964724e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 139.44948554476956385290730773819
y[1] (numeric) = 139.44948554476956384952377569066
absolute error = 3.38353204753e-18
relative error = 2.4263496091878616952085300751938e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 139.72866539361515118121174699404
y[1] (numeric) = 139.72866539361515117782112998172
absolute error = 3.39061701232e-18
relative error = 2.4265722446919849914363096751707e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 140.00840415730861788215305136498
y[1] (numeric) = 140.00840415730861787875533520385
absolute error = 3.39771616113e-18
relative error = 2.4267944353629252247526385889578e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=209.8MB, alloc=4.4MB, time=9.86
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 140.28870295480539171466601391115
y[1] (numeric) = 140.2887029548053917112611843888
absolute error = 3.40482952235e-18
relative error = 2.4270161820847972744568693967820e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 140.56956290730103639762579128374
y[1] (numeric) = 140.5695629073010363942138341593
absolute error = 3.41195712444e-18
relative error = 2.4272374857493325162133118535757e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 140.85098513823573639359770684322
y[1] (numeric) = 140.85098513823573639017860784731
absolute error = 3.41909899591e-18
relative error = 2.4274583472415085191224219069334e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 141.13297077329879067107302136633
y[1] (numeric) = 141.132970773298790667646766201
absolute error = 3.42625516533e-18
relative error = 2.4276787674466068771577455424551e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 141.4155209404331154631657262765
y[1] (numeric) = 141.41552094043311545973230061519
absolute error = 3.43342566131e-18
relative error = 2.4278987472359725234384262288824e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 141.69863676983975604078140018869
y[1] (numeric) = 141.69863676983975603734078967614
absolute error = 3.44061051255e-18
relative error = 2.4281182875023441292055590609655e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 141.98231939398240751830522745963
y[1] (numeric) = 141.98231939398240751485741771185
absolute error = 3.44780974778e-18
relative error = 2.4283373891172871262150299847443e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 142.26656994759194470989240752338
y[1] (numeric) = 142.26656994759194470643738412759
absolute error = 3.45502339579e-18
relative error = 2.4285560529523970381675377854029e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 142.55138956767096105448038621362
y[1] (numeric) = 142.55138956767096105101813472817
absolute error = 3.46225148545e-18
relative error = 2.4287742798932346450065383149396e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 142.83677939349831662767861517347
y[1] (numeric) = 142.8367793934983166242091211278
absolute error = 3.46949404567e-18
relative error = 2.4289920708110878713798061016902e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 143.12274056663369525872789297592
y[1] (numeric) = 143.12274056663369525525114187051
absolute error = 3.47675110541e-18
relative error = 2.4292094265700061783704112040019e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 143.40927423092217077075776186846
y[1] (numeric) = 143.40927423092217076727373917475
absolute error = 3.48402269371e-18
relative error = 2.4294263480476973475310338044064e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 143.69638153249878236260692725964
y[1] (numeric) = 143.69638153249878235911561841999
absolute error = 3.49130883965e-18
relative error = 2.4296428361074601328807754385137e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 143.98406361979311915050823332995
y[1] (numeric) = 143.98406361979311914700962375757
absolute error = 3.49860957238e-18
relative error = 2.4298588916190688303317333165849e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 144.2723216435339138879763676195
y[1] (numeric) = 144.27232164353391388447044269841
absolute error = 3.50592492109e-18
relative error = 2.4300745154378200933003080050624e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 144.56115675675364588227318026837
y[1] (numeric) = 144.56115675675364587875992535331
absolute error = 3.51325491506e-18
relative error = 2.4302897084391702193394970202180e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 144.85057011479315312586228990803
y[1] (numeric) = 144.85057011479315312234169032444
absolute error = 3.52059958359e-18
relative error = 2.4305044714701138423786542804317e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 145.14056287530625366130150817191
y[1] (numeric) = 145.14056287530625365777354921584
absolute error = 3.52795895607e-18
relative error = 2.4307188053976022825607534778337e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 145.43113619826437619805854855648
y[1] (numeric) = 145.43113619826437619452321549454
absolute error = 3.53533306194e-18
relative error = 2.4309327110807457521209258342448e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 145.72229124596119999977249306994
y[1] (numeric) = 145.72229124596119999622977113926
absolute error = 3.54272193068e-18
relative error = 2.4311461893639344847328302024829e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 146.01402918301730406052057190088
y[1] (numeric) = 146.01402918301730405697044630901
absolute error = 3.55012559187e-18
relative error = 2.4313592411179831664528175110453e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 146.30635117638482558868696737287
y[1] (numeric) = 146.30635117638482558512942329776
absolute error = 3.55754407511e-18
relative error = 2.4315718671850931495120087696825e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.687
y[1] (analytic) = 146.59925839535212781706758387162
y[1] (numeric) = 146.59925839535212781350260646154
absolute error = 3.56497741008e-18
relative error = 2.4317840684199710898844997363783e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 146.89275201154847715788203038744
y[1] (numeric) = 146.89275201154847715430960476093
absolute error = 3.57242562651e-18
relative error = 2.4319958456691869421047091757280e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 147.18683319894872972140144195716
y[1] (numeric) = 147.18683319894872971782155320298
absolute error = 3.57988875418e-18
relative error = 2.4322071997711606933364800922950e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 147.48150313387802721693822076558
y[1] (numeric) = 147.48150313387802721335085394262
absolute error = 3.58736682296e-18
relative error = 2.4324181315832715589894737908500e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 147.77676299501650225498130712642
y[1] (numeric) = 147.77676299501650225138644726366
absolute error = 3.59485986276e-18
relative error = 2.4326286419477397765954207997111e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 148.07261396340399306929819515781
y[1] (numeric) = 148.07261396340399306569582725426
absolute error = 3.60236790355e-18
relative error = 2.4328387317051901514128934571267e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 148.36905722244476767786258784652
y[1] (numeric) = 148.36905722244476767425269687116
absolute error = 3.60989097536e-18
relative error = 2.4330484016945737785207844567221e-18 %
memory used=213.6MB, alloc=4.4MB, time=10.04
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 148.66609395791225750150434151052
y[1] (numeric) = 148.66609395791225749788691240224
absolute error = 3.61742910828e-18
relative error = 2.4332576527530905703459595939278e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 148.96372535795380045921618057112
y[1] (numeric) = 148.96372535795380045559119823865
absolute error = 3.62498233247e-18
relative error = 2.4334664857228256284903028198512e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 149.26195261309539355908957018563
y[1] (numeric) = 149.26195261309539355545701950749
absolute error = 3.63255067814e-18
relative error = 2.4336749014372070419424571720852e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 149.56077691624645500389011682088
y[1] (numeric) = 149.56077691624645500024998264532
absolute error = 3.64013417556e-18
relative error = 2.4338829007276842446556595939481e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 149.86019946270459583032092541868
y[1] (numeric) = 149.86019946270459582667319256361
absolute error = 3.64773285507e-18
relative error = 2.4340904844303266018433330679840e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 150.16022145016040110106047656876
y[1] (numeric) = 150.16022145016040109740512982169
absolute error = 3.65534674707e-18
relative error = 2.4342976533790236760208844927928e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 150.4608440787022206686997982157
y[1] (numeric) = 150.4608440787022206650368223337
absolute error = 3.66297588200e-18
relative error = 2.4345044083921202570936056866245e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 150.76206855082096953074199403622
y[1] (numeric) = 150.76206855082096952707137374584
absolute error = 3.67062029038e-18
relative error = 2.4347107502990093237072033667013e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 151.06389607141493779486555488534
y[1] (numeric) = 151.06389607141493779118727488255
absolute error = 3.67828000279e-18
relative error = 2.4349166799266886163677055565546e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 151.36632784779461027369132077804
y[1] (numeric) = 151.36632784779461027000536572817
absolute error = 3.68595504987e-18
relative error = 2.4351221980996904621544947236725e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 151.66936508968749572833147890034
y[1] (numeric) = 151.66936508968749572463783343801
absolute error = 3.69364546233e-18
relative error = 2.4353273056466056456274544715266e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 151.97300900924296578003757828476
y[1] (numeric) = 151.97300900924296577633622701384
absolute error = 3.70135127092e-18
relative error = 2.4355320033802085279272871746057e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 152.27726082103710350930321419421
y[1] (numeric) = 152.27726082103710350559414168775
absolute error = 3.70907250646e-18
relative error = 2.4357362921172217690782338728887e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 152.58212174207756176181578508973
y[1] (numeric) = 152.58212174207756175809897588988
absolute error = 3.71680919985e-18
relative error = 2.4359401726847371328417552371632e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 152.88759299180843118069055246688
y[1] (numeric) = 152.88759299180843117696599108486
absolute error = 3.72456138202e-18
relative error = 2.4361436458873143377239862776707e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 153.19367579211511798445913898779
y[1] (numeric) = 153.1936757921151179807268099038
absolute error = 3.73232908399e-18
relative error = 2.4363467125462780127205371705477e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 153.50037136732923151032358336648
y[1] (numeric) = 153.50037136732923150658347102966
absolute error = 3.74011233682e-18
relative error = 2.4365493734668836149422025204083e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 153.80768094423348154222613154048
y[1] (numeric) = 153.80768094423348153847822036882
absolute error = 3.74791117166e-18
relative error = 2.4367516294708919948016058365908e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 154.1156057520665854433240829376
y[1] (numeric) = 154.1156057520665854395683573179
absolute error = 3.75572561970e-18
relative error = 2.4369534813638678340616747302044e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 154.42414702252818511249822828013
y[1] (numeric) = 154.42414702252818510873467256796
absolute error = 3.76355571217e-18
relative error = 2.4371549299352472550201692236400e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 154.73330598978377378456271151624
y[1] (numeric) = 154.73330598978377378079131003581
absolute error = 3.77140148043e-18
relative error = 2.4373559760165699556534597726133e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 155.04308389046963269388352328684
y[1] (numeric) = 155.043083890469632690104260331
absolute error = 3.77926295584e-18
relative error = 2.4375566203971179518175235693174e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 155.35348196369777762115228698446
y[1] (numeric) = 155.3534819636977776173651468146
absolute error = 3.78714016986e-18
relative error = 2.4377568638886123696824948042574e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 155.66450145106091534310153109434
y[1] (numeric) = 155.66450145106091533930649794036
absolute error = 3.79503315398e-18
relative error = 2.4379567072799277212693596846523e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 155.97614359663741000498725328768
y[1] (numeric) = 155.9761435966374100011843113479
absolute error = 3.80294193978e-18
relative error = 2.4381561513756935806232786691069e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 156.28840964699625943570427281898
y[1] (numeric) = 156.28840964699625943189340626008
absolute error = 3.81086655890e-18
relative error = 2.4383551969768487974074196410533e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 156.60130085120208142543963832404
y[1] (numeric) = 156.601300851202081421620831281
absolute error = 3.81880704304e-18
relative error = 2.4385538448805845901000677172578e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 156.91481846082010998580920828058
y[1] (numeric) = 156.91481846082010998198244485661
absolute error = 3.82676342397e-18
relative error = 2.4387520958866612007629901529102e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.4MB, time=10.22
x[1] = 1.722
y[1] (analytic) = 157.22896372992120161246245133954
y[1] (numeric) = 157.22896372992120160862771560604
absolute error = 3.83473573350e-18
relative error = 2.4389499507782082188973930120386e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 157.54373791508685157018052362121
y[1] (numeric) = 157.5437379150868515663377996177
absolute error = 3.84272400351e-18
relative error = 2.4391474103408393553317967188699e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 157.85914227541422022053277005698
y[1] (numeric) = 157.859142275414220216682041791
absolute error = 3.85072826598e-18
relative error = 2.4393444753815388370952179918895e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 158.17517807252116941219696710431
y[1] (numeric) = 158.1751780725211694083382185514
absolute error = 3.85874855291e-18
relative error = 2.4395411466777778698864851017696e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 158.4918465705513089540888748313
y[1] (numeric) = 158.49184657055130895022208993492
absolute error = 3.86678489638e-18
relative error = 2.4397374250155722121697479582715e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 158.80914903617905319148699761754
y[1] (numeric) = 158.80914903617905318761216028899
absolute error = 3.87483732855e-18
relative error = 2.4399333111893038539662546689145e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 159.12708673861468770537886471241
y[1] (numeric) = 159.1270867386146877014959588308
absolute error = 3.88290588161e-18
relative error = 2.4401288059701226730028778609138e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 159.44566094960944615529563479166
y[1] (numeric) = 159.4456609496094461514046442038
absolute error = 3.89099058786e-18
relative error = 2.4403239101562586478489900650694e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 159.76487294346059728594240261961
y[1] (numeric) = 159.76487294346059728204331114001
absolute error = 3.89909147960e-18
relative error = 2.4405186245038073252934559543048e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 160.08472399701654211797224112116
y[1] (numeric) = 160.08472399701654211406503253189
absolute error = 3.90720858927e-18
relative error = 2.4407129498145104981277996471335e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 160.40521538968192134329274875568
y[1] (numeric) = 160.40521538968192133937740680636
absolute error = 3.91534194932e-18
relative error = 2.4409068868541631549235753980762e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 160.72634840342273294533469022915
y[1] (numeric) = 160.72634840342273294141119863686
absolute error = 3.92349159229e-18
relative error = 2.4411004364026524795573203703071e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 161.04812432277146006475321844244
y[1] (numeric) = 161.04812432277146006082156089167
absolute error = 3.93165755077e-18
relative error = 2.4412935992288870159714225914663e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 161.3705444348322091310731473178
y[1] (numeric) = 161.37054443483220912713330746036
absolute error = 3.93983985744e-18
relative error = 2.4414863761156006607391446971756e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 161.69361002928585828083080893548
y[1] (numeric) = 161.69361002928585827688277039047
absolute error = 3.94803854501e-18
relative error = 2.4416787678220143742121342595717e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 162.01732239839521608280617441258
y[1] (numeric) = 162.01732239839521607884992076628
absolute error = 3.95625364630e-18
relative error = 2.4418707751333549686400670242241e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 162.34168283701019059098014633066
y[1] (numeric) = 162.34168283701019058701566113652
absolute error = 3.96448519414e-18
relative error = 2.4420623987989041911384350286123e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 162.66669264257296874589324143374
y[1] (numeric) = 162.66669264257296874192050821226
absolute error = 3.97273322148e-18
relative error = 2.4422536395998870400083980843021e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 162.99235311512320614512327593684
y[1] (numeric) = 162.99235311512320614114227817554
absolute error = 3.98099776130e-18
relative error = 2.4424444982938430155977668173019e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 163.31866555730322720364114227589
y[1] (numeric) = 163.31866555730322719965186342923
absolute error = 3.98927884666e-18
relative error = 2.4426349756453841034785586501912e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 163.64563127436323572484532565542
y[1] (numeric) = 163.64563127436323572084774914473
absolute error = 3.99757651069e-18
relative error = 2.4428250724199206321682426204072e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 163.97325157416653590311745147958
y[1] (numeric) = 163.97325157416653589911156069301
absolute error = 4.00589078657e-18
relative error = 2.4430147893713631452398312464205e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 164.30152776719476377878288085014
y[1] (numeric) = 164.30152776719476377476865914257
absolute error = 4.01422170757e-18
relative error = 2.4432041272664896578741966308548e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.745
y[1] (analytic) = 164.63046116655312916640218094892
y[1] (numeric) = 164.6304611665531291623796116419
absolute error = 4.02256930702e-18
relative error = 2.4433930868665017927565019851472e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 164.9600530879756680773611904599
y[1] (numeric) = 164.96005308797566807333025684162
absolute error = 4.03093361828e-18
relative error = 2.4435816689088010306116657913542e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 165.29030484983050565776937739456
y[1] (numeric) = 165.29030484983050565373006271973
absolute error = 4.03931467483e-18
relative error = 2.4437698741615830782792825667718e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 165.62121777312512966271824793094
y[1] (numeric) = 165.62121777312512965867053542076
absolute error = 4.04771251018e-18
relative error = 2.4439577033690972316220065029144e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 165.95279318151167448799371033156
y[1] (numeric) = 165.95279318151167448393758317361
absolute error = 4.05612715795e-18
relative error = 2.4441451572999986797857415725119e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 166.28503240129221578037852783482
y[1] (numeric) = 166.28503240129221577631396918305
absolute error = 4.06455865177e-18
relative error = 2.4443322366868745025500279366082e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=221.2MB, alloc=4.4MB, time=10.40
x[1] = 1.751
y[1] (analytic) = 166.61793676142407564772330878948
y[1] (numeric) = 166.61793676142407564365030176409
absolute error = 4.07300702539e-18
relative error = 2.4445189422925298028032241246245e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 166.95150759352513849000688138937
y[1] (numeric) = 166.9515075935251384859254090768
absolute error = 4.08147231257e-18
relative error = 2.4447052748437063415135201958938e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 167.28574623187917747264938433809
y[1] (numeric) = 167.28574623187917746855942979089
absolute error = 4.08995454720e-18
relative error = 2.4448912351030830289282821504970e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 167.62065401344119166338397379757
y[1] (numeric) = 167.62065401344119165928552003438
absolute error = 4.09845376319e-18
relative error = 2.4450768238032006114208518393901e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 167.95623227784275385403570122386
y[1] (numeric) = 167.9562322778427538499287312293
absolute error = 4.10696999456e-18
relative error = 2.4452620417002547451722978540055e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 168.2924823673973690885988563358
y[1] (numeric) = 168.29248236739736908448335306046
absolute error = 4.11550327534e-18
relative error = 2.4454468895143470909563945547425e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 168.629405627105843919046894671
y[1] (numeric) = 168.6294056271058439149228410313
absolute error = 4.12405363970e-18
relative error = 2.4456313680068448148244040732557e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 168.96700340466166641035198012736
y[1] (numeric) = 168.96700340466166640621935900554
absolute error = 4.13262112182e-18
relative error = 2.4458154779029384392854829796542e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 169.30527705045639691623416974219
y[1] (numeric) = 169.30527705045639691209296398621
absolute error = 4.14120575598e-18
relative error = 2.4459992199450681770636864280058e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 169.6442279175850696472033508929
y[1] (numeric) = 169.6442279175850696430535433164
absolute error = 4.14980757650e-18
relative error = 2.4461825948572913909301237914376e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 169.98385736185160505250021028945
y[1] (numeric) = 169.98385736185160504834178367163
absolute error = 4.15842661782e-18
relative error = 2.4463656033924367292549351673740e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 170.32416674177423303758576973865
y[1] (numeric) = 170.32416674177423303341870682426
absolute error = 4.16706291439e-18
relative error = 2.4465482462671418630973383563204e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 170.6651574185909270388723658697
y[1] (numeric) = 170.66515741859092703469664936894
absolute error = 4.17571650076e-18
relative error = 2.4467305242148565899400135243957e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 171.00683075626484897743237999008
y[1] (numeric) = 171.00683075626484897324799257853
absolute error = 4.18438741155e-18
relative error = 2.4469124379680398416782503506136e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 171.34918812148980511346454016679
y[1] (numeric) = 171.34918812148980510927146448536
absolute error = 4.19307568143e-18
relative error = 2.4470939882464049276592637209716e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 171.69223088369571282334122067262
y[1] (numeric) = 171.69223088369571281913943932744
absolute error = 4.20178134518e-18
relative error = 2.4472751757919005365222920162808e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 172.03596041505407832110385427552
y[1] (numeric) = 172.03596041505407831689334983792
absolute error = 4.21050443760e-18
relative error = 2.4474560013160818537141845486361e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 172.38037809048348534631735065664
y[1] (numeric) = 172.38037809048348534209810566305
absolute error = 4.21924499359e-18
relative error = 2.4476364655467301605324850175331e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 172.72548528765509484023827969266
y[1] (numeric) = 172.72548528765509483601027664456
absolute error = 4.22800304810e-18
relative error = 2.4478165691986512160359850584370e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 173.0712833869981556322955316083
y[1] (numeric) = 173.07128338699815562805875297211
absolute error = 4.23677863619e-18
relative error = 2.4479963130083801474511358033267e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 173.41777377170552615892620726898
y[1] (numeric) = 173.41777377170552615468063547605
absolute error = 4.24557179293e-18
relative error = 2.4481756976762081075466559377422e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 173.76495782773920723685362131982
y[1] (numeric) = 173.76495782773920723259923876629
absolute error = 4.25438255353e-18
relative error = 2.4483547239412651065787195715347e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 174.11283694383588591293851865958
y[1] (numeric) = 174.11283694383588590867530770639
absolute error = 4.26321095319e-18
relative error = 2.4485333924948894423106933770623e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 174.46141251151249041277891104673
y[1] (numeric) = 174.46141251151249040850685401947
absolute error = 4.27205702726e-18
relative error = 2.4487117040727228434150346473773e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 174.81068592507175621027833564305
y[1] (numeric) = 174.81068592507175620599741483195
absolute error = 4.28092081110e-18
relative error = 2.4488896593740899879067476466809e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 175.16065858160780324044682118972
y[1] (numeric) = 175.16065858160780323615701884954
absolute error = 4.28980234018e-18
relative error = 2.4490672591193587057402332380507e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 175.51133188101172427774342045565
y[1] (numeric) = 175.51133188101172427344471880564
absolute error = 4.29870165001e-18
relative error = 2.4492445040097546542142033735580e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 175.86270722597718450231382977964
y[1] (numeric) = 175.86270722597718449800621100344
absolute error = 4.30761877620e-18
relative error = 2.4494213947615775614783872837386e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 176.21478602200603227652136812274
y[1] (numeric) = 176.21478602200603227220481436833
absolute error = 4.31655375441e-18
relative error = 2.4495979320775843909159852220464e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=225.0MB, alloc=4.4MB, time=10.58
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 176.56756967741392115421442923592
y[1] (numeric) = 176.56756967741392114988892261552
absolute error = 4.32550662040e-18
relative error = 2.4497741166753499884276549287027e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 176.92105960333594314521845150868
y[1] (numeric) = 176.92105960333594314088397409872
absolute error = 4.33447740996e-18
relative error = 2.4499499492474614721371453832892e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 177.27525721373227325758547097778
y[1] (numeric) = 177.27525721373227325324200481878
absolute error = 4.34346615900e-18
relative error = 2.4501254305124438317432822115920e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 177.63016392539382534017943401998
y[1] (numeric) = 177.63016392539382533582696111654
absolute error = 4.35247290344e-18
relative error = 2.4503005611524828161189924735541e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 177.98578115794791924822064761162
y[1] (numeric) = 177.9857811579479192438591499323
absolute error = 4.36149767932e-18
relative error = 2.4504753418754980128535826997579e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 178.34211033386395935445803688862
y[1] (numeric) = 178.34211033386395935008749636588
absolute error = 4.37054052274e-18
relative error = 2.4506497733811513369885748849816e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 178.69915287845912442868326226758
y[1] (numeric) = 178.69915287845912442430366079771
absolute error = 4.37960146987e-18
relative error = 2.4508238563664332386278703113270e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 179.05691021990406890834622177088
y[1] (numeric) = 179.0569102199040689039575412139
absolute error = 4.38868055698e-18
relative error = 2.4509975915423518519071954923787e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 179.41538378922863558307702861932
y[1] (numeric) = 179.41538378922863557867925079897
absolute error = 4.39777782035e-18
relative error = 2.4511709795835381194847146973743e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 179.77457502032757971596520979747
y[1] (numeric) = 179.77457502032757971155831650109
absolute error = 4.40689329638e-18
relative error = 2.4513440211897044340002560023538e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 180.13448534996630462449261834033
y[1] (numeric) = 180.13448534996630462007659131879
absolute error = 4.41602702154e-18
relative error = 2.4515167170575459430003244380310e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 180.49511621778660874406239072058
y[1] (numeric) = 180.49511621778660873963721168822
absolute error = 4.42517903236e-18
relative error = 2.4516890678751382514559687229303e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 180.85646906631244419711221111498
y[1] (numeric) = 180.85646906631244419267786174955
absolute error = 4.43434936543e-18
relative error = 2.4518610743219314943606209745366e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 181.2185453409556868908461666811
y[1] (numeric) = 181.21854534095568688640262862364
absolute error = 4.44353805746e-18
relative error = 2.4520327371018539732928313834567e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 181.5813464900219181666655924651
y[1] (numeric) = 181.5813464900219181622128473199
absolute error = 4.45274514520e-18
relative error = 2.4522040568989188146138790509254e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 181.94487396471621802442551137304
y[1] (numeric) = 181.94487396471621801996354070758
absolute error = 4.46197066546e-18
relative error = 2.4523750343883228391237863184200e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 182.30912921914896994468957395565
y[1] (numeric) = 182.30912921914896994021835930049
absolute error = 4.47121465516e-18
relative error = 2.4525456702638689180472407627511e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 182.67411371034167733220279476603
y[1] (numeric) = 182.67411371034167732772231761476
absolute error = 4.48047715127e-18
relative error = 2.4527159652048433773258217951206e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 183.03982889823279160384786693665
y[1] (numeric) = 183.03982889823279159935810874581
absolute error = 4.48975819084e-18
relative error = 2.4528859198924587750881431337126e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 183.40627624568355194439741457155
y[1] (numeric) = 183.40627624568355193989835676055
absolute error = 4.49905781100e-18
relative error = 2.4530555350097430855743573032079e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 183.77345721848383675342121374912
y[1] (numeric) = 183.77345721848383674891283770018
absolute error = 4.50837604894e-18
relative error = 2.4532248112305469163790210163743e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 184.14137328535802680675417756636
y[1] (numeric) = 184.14137328535802680223646462443
absolute error = 4.51771294193e-18
relative error = 2.4533937492304046236235409248018e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 184.51002591797088015597775891396
y[1] (numeric) = 184.51002591797088015145069038665
absolute error = 4.52706852731e-18
relative error = 2.4535623496810062778201769318766e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 184.87941659093341878941437674122
y[1] (numeric) = 184.87941659093341878487793389869
absolute error = 4.53644284253e-18
relative error = 2.4537306132717802392401570411395e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 185.2495467818088270781815176371
y[1] (numeric) = 185.24954678180882707363568171203
absolute error = 4.54583592507e-18
relative error = 2.4538985406664395288326892939328e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 185.62041797111836203089930480874
y[1] (numeric) = 185.62041797111836202634405699623
absolute error = 4.55524781251e-18
relative error = 2.4540661325408579221725281389434e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 185.99203164234727538069256116782
y[1] (numeric) = 185.99203164234727537612788262532
absolute error = 4.56467854250e-18
relative error = 2.4542333895667275608356076602664e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 186.3643892819507475281757224292
y[1] (numeric) = 186.36438928195074752360159427645
absolute error = 4.57412815275e-18
relative error = 2.4544003124061431992981228802964e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 186.7374923793598333641563800735
y[1] (numeric) = 186.73749237935983335957278339244
absolute error = 4.58359668106e-18
relative error = 2.4545669017276718548807370513055e-18 %
Correct digits = 19
h = 0.001
memory used=228.8MB, alloc=4.4MB, time=10.76
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 187.1113424269874199958407529154
y[1] (numeric) = 187.11134242698741999124766875009
absolute error = 4.59308416531e-18
relative error = 2.4547331582008525276975244992346e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 187.48594092023419640037200004334
y[1] (numeric) = 187.4859409202341963957694093999
absolute error = 4.60259064344e-18
relative error = 2.4548990824854275237119757643767e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 187.8612893574946350295799972433
y[1] (numeric) = 187.86128935749463502496788108981
absolute error = 4.61211615349e-18
relative error = 2.4550646752526410587257428303855e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 188.23738924016298538986900388128
y[1] (numeric) = 188.23738924016298538524734314772
absolute error = 4.62166073356e-18
relative error = 2.4552299371637833781904258143894e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 188.61424207263927962121754778658
y[1] (numeric) = 188.61424207263927961658632336476
absolute error = 4.63122442182e-18
relative error = 2.4553948688755003216525385001431e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 188.99184936233535009931285214292
y[1] (numeric) = 188.99184936233535009467204488638
absolute error = 4.64080725654e-18
relative error = 2.4555594710556220832856007896292e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 189.37021261968085908489022094844
y[1] (numeric) = 189.37021261968085908023981167241
absolute error = 4.65040927603e-18
relative error = 2.4557237443512763265282596662261e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 189.74933335812934044439598844182
y[1] (numeric) = 189.74933335812934043973595792311
absolute error = 4.66003051871e-18
relative error = 2.4558876894258941167418645093042e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 190.12921309416425346614092320182
y[1] (numeric) = 190.12921309416425346147125217876
absolute error = 4.66967102306e-18
relative error = 2.4560513069326582770220928037782e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 190.50985334730504879615935960566
y[1] (numeric) = 190.50985334730504879148002877801
absolute error = 4.67933082765e-18
relative error = 2.4562145975302614366665519880602e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 190.8912556401132465180378081707
y[1] (numeric) = 190.89125564011324651334879819958
absolute error = 4.68900997112e-18
relative error = 2.4563775618722826469754775787034e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 191.27342149819852640102537219792
y[1] (numeric) = 191.27342149819852639632666370574
absolute error = 4.69870849218e-18
relative error = 2.4565402006071470432509286782689e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 191.65635245022483034078697127926
y[1] (numeric) = 191.65635245022483033607854484964
absolute error = 4.70842642962e-18
relative error = 2.4567025143833037543362627665728e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 192.04005002791647701720914281827
y[1] (numeric) = 192.04005002791647701249097899595
absolute error = 4.71816382232e-18
relative error = 2.4568645038543418341317518023212e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 192.42451576606428879371706094011
y[1] (numeric) = 192.42451576606428878898914023088
absolute error = 4.72792070923e-18
relative error = 2.4570261696684541197122669566285e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 192.80975120253173088261037822826
y[1] (numeric) = 192.80975120253173087787268109889
absolute error = 4.73769712937e-18
relative error = 2.4571875124683997957999500723773e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 193.19575787826106280097455981682
y[1] (numeric) = 193.19575787826106279622706669497
absolute error = 4.74749312185e-18
relative error = 2.4573485329018197113989010590782e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 193.58253733727950214177354168565
y[1] (numeric) = 193.5825373372795021370162329598
absolute error = 4.75730872585e-18
relative error = 2.4575092316107651272981751062353e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 193.97009112670540068477880574744
y[1] (numeric) = 193.97009112670540068001166176679
absolute error = 4.76714398065e-18
relative error = 2.4576696092471286586628389245362e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 194.35842079675443287203932367766
y[1] (numeric) = 194.3584207967544328672623247521
absolute error = 4.77699892556e-18
relative error = 2.4578296664364390182959989376370e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 194.7475279007457966726462796187
y[1] (numeric) = 194.74752790074579666785940601867
absolute error = 4.78687360003e-18
relative error = 2.4579894038345163491095611756591e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 195.13741399510842686159603908464
y[1] (numeric) = 195.13741399510842685679927104111
absolute error = 4.79676804353e-18
relative error = 2.4581488220655840747598271891757e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 195.52808063938722073760448780319
y[1] (numeric) = 195.52808063938722073279780550752
absolute error = 4.80668229567e-18
relative error = 2.4583079217838651623509935630710e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 195.91952939624927630477562005279
y[1] (numeric) = 195.9195293962492762999590036567
absolute error = 4.81661639609e-18
relative error = 2.4584667036170465062334752074288e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 196.31176183149014294307711148714
y[1] (numeric) = 196.31176183149014293825054110262
absolute error = 4.82657038452e-18
relative error = 2.4586251681970160078815458936129e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 196.70477951404008459262556668342
y[1] (numeric) = 196.70477951404008458778902238263
absolute error = 4.83654430079e-18
relative error = 2.4587833161648137494600612946434e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 197.0985840159703554768341869062
y[1] (numeric) = 197.09858401597035547198764872142
absolute error = 4.84653818478e-18
relative error = 2.4589411481450817311173998602856e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 197.49317691249948838952575904538
y[1] (numeric) = 197.4931769124994883846692069689
absolute error = 4.85655207648e-18
relative error = 2.4590986647765172731439696927473e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.4MB, time=10.94
x[1] = 1.837
y[1] (analytic) = 197.8885597819995955711641225644
y[1] (numeric) = 197.88855978199959556629753654847
absolute error = 4.86658601593e-18
relative error = 2.4592558666813219194202811173855e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 198.2847342060026821994076277859
y[1] (numeric) = 198.28473420600268219453098774262
absolute error = 4.87664004328e-18
relative error = 2.4594127544955345676711887407110e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 198.68170176920697251923855614649
y[1] (numeric) = 198.68170176920697251435184194773
absolute error = 4.88671419876e-18
relative error = 2.4595693288537031543295853834828e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 199.07946405948324863797303137324
y[1] (numeric) = 199.0794640594832486330762228506
absolute error = 4.89680852264e-18
relative error = 2.4597255903687159371039529583917e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 199.4780226678812020105066100733
y[1] (numeric) = 199.478022667881202005599687018
absolute error = 4.90692305530e-18
relative error = 2.4598815396670183569583223751578e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 199.87737918863579764020150118762
y[1] (numeric) = 199.8773791886357976352844433504
absolute error = 4.91705783722e-18
relative error = 2.4600371773833842639078003963735e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 200.27753521917365102087222634311
y[1] (numeric) = 200.27753521917365101594501343421
absolute error = 4.92721290890e-18
relative error = 2.4601925041207973058868665157287e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 200.67849236011941784537749754882
y[1] (numeric) = 200.67849236011941784044010923783
absolute error = 4.93738831099e-18
relative error = 2.4603475205154575469635054797275e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 201.08025221530219650637715512286
y[1] (numeric) = 201.08025221530219650142957103867
absolute error = 4.94758408419e-18
relative error = 2.4605022271866282820149136826736e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 201.48281639176194341486417741476
y[1] (numeric) = 201.48281639176194340990637714548
absolute error = 4.95780026928e-18
relative error = 2.4606566247516035243951108187289e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 201.88618649975590116213304500497
y[1] (numeric) = 201.88618649975590115716500809785
absolute error = 4.96803690712e-18
relative error = 2.4608107138256370058060182832473e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 202.29036415276503955089711582584
y[1] (numeric) = 202.29036415276503954591882178717
absolute error = 4.97829403867e-18
relative error = 2.4609644950317587128525797280670e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 202.6953509675005095213191442616
y[1] (numeric) = 202.69535096750050951633057255666
absolute error = 4.98857170494e-18
relative error = 2.4611179689759390682800805700410e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 203.10114856391010999777065695476
y[1] (numeric) = 203.10114856391010999277178700772
absolute error = 4.99886994704e-18
relative error = 2.4612711362717867198399035076288e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 203.50775856518476768218758097876
y[1] (numeric) = 203.50775856518476767717839217257
absolute error = 5.00918880619e-18
relative error = 2.4614239975452957905418059985116e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 203.91518259776502981994130643914
y[1] (numeric) = 203.9151825977650298149217781155
absolute error = 5.01952832364e-18
relative error = 2.4615765533953995546811744583022e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 204.32342229134756996419625564461
y[1] (numeric) = 204.32342229134756995916636710386
absolute error = 5.02988854075e-18
relative error = 2.4617288044333032701336167615661e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 204.73247927889170676477702495254
y[1] (numeric) = 204.73247927889170675973675545358
absolute error = 5.04026949896e-18
relative error = 2.4618807512676182435500253418865e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 205.14235519662593580762026344918
y[1] (numeric) = 205.14235519662593580256959220937
absolute error = 5.05067123981e-18
relative error = 2.4620323945140464846472074879170e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 205.55305168405447453093865498122
y[1] (numeric) = 205.55305168405447452587756117632
absolute error = 5.06109380490e-18
relative error = 2.4621837347757596607473546907293e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 205.96457038396382024427667692129
y[1] (numeric) = 205.96457038396382023920513968537
absolute error = 5.07153723592e-18
relative error = 2.4623347726579990625082370752906e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 206.37691294242932127669022063429
y[1] (numeric) = 206.37691294242932127160821905966
absolute error = 5.08200157463e-18
relative error = 2.4624855087582735675745309623172e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 206.79008100882176128033467512475
y[1] (numeric) = 206.79008100882176127524218826184
absolute error = 5.09248686291e-18
relative error = 2.4626359436905255314658466552465e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 207.20407623581395671579869699642
y[1] (numeric) = 207.20407623581395671069570385374
absolute error = 5.10299314268e-18
relative error = 2.4627860780462671515753673026573e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 207.61890027938736754557361685604
y[1] (numeric) = 207.61890027938736754046009640005
absolute error = 5.11352045599e-18
relative error = 2.4629359124380623295397209085230e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 208.03455479883872116210126485294
y[1] (numeric) = 208.03455479883872115697719600803
absolute error = 5.12406884491e-18
relative error = 2.4630854474463505281385868306867e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 208.45104145678664957689593637796
y[1] (numeric) = 208.45104145678664957176129802629
absolute error = 5.13463835167e-18
relative error = 2.4632346836868388760749044425767e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 208.8683619191783398972892632588
y[1] (numeric) = 208.86836191917833989214403424027
absolute error = 5.14522901853e-18
relative error = 2.4633836217478200637178687004636e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 209.28651785529619811739990629894
y[1] (numeric) = 209.28651785529619811224406541107
absolute error = 5.15584088787e-18
relative error = 2.4635322622333584068019590059896e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=236.5MB, alloc=4.4MB, time=11.12
x[1] = 1.866
y[1] (analytic) = 209.70551093776452624998324192362
y[1] (numeric) = 209.70551093776452624481676792151
absolute error = 5.16647400211e-18
relative error = 2.4636806057248935611712035526600e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 210.12534284255621282586957923481
y[1] (numeric) = 210.125342842556212820692450831
absolute error = 5.17712840381e-18
relative error = 2.4638286528289665376038352260397e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 210.54601524899943678775291414835
y[1] (numeric) = 210.54601524899943678256511001278
absolute error = 5.18780413557e-18
relative error = 2.4639764041293836082030373160190e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 210.96752983978438480514580470712
y[1] (numeric) = 210.96752983978438479994730346703
absolute error = 5.19850124009e-18
relative error = 2.4641238602157930188631026922209e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 211.389888300969982037369636346
y[1] (numeric) = 211.38988830096998203216041658582
absolute error = 5.20921976018e-18
relative error = 2.4642710216882672971910163934367e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 211.81309232199063637150333804396
y[1] (numeric) = 211.81309232199063636628337830526
absolute error = 5.21995973870e-18
relative error = 2.4644178891287820660023531714268e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 212.2371435956629961622675101507
y[1] (numeric) = 212.23714359566299615703678893209
absolute error = 5.23072121861e-18
relative error = 2.4645644631248647540453972256560e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 212.66204381819272150087493243444
y[1] (numeric) = 212.66204381819272149563342819149
absolute error = 5.24150424295e-18
relative error = 2.4647107442600446025124810241161e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 213.0877946891812690399325367814
y[1] (numeric) = 213.08779468918126903468022792653
absolute error = 5.25230885487e-18
relative error = 2.4648567331278811242529666685164e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 213.51439791163269040153415320118
y[1] (numeric) = 213.5143979116326903962710181036
absolute error = 5.26313509758e-18
relative error = 2.4650024303083562211108088658668e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 213.94185519196044419573767057369
y[1] (numeric) = 213.94185519196044419046368755931
absolute error = 5.27398301438e-18
relative error = 2.4651478363819418426560842673276e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 214.37016823999422167667469512888
y[1] (numeric) = 214.37016823999422167138984248022
absolute error = 5.28485264866e-18
relative error = 2.4652929519295051203052031712107e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 214.7993387689867860635953401988
y[1] (numeric) = 214.7993387689867860582995961549
absolute error = 5.29574404390e-18
relative error = 2.4654377775322144019630501904544e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 215.22936849562082555420544054027
y[1] (numeric) = 215.22936849562082554889878329659
absolute error = 5.30665724368e-18
relative error = 2.4655823137760923879795302516466e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 215.66025914001582005770825371431
y[1] (numeric) = 215.66025914001582005239066142267
absolute error = 5.31759229164e-18
relative error = 2.4657265612333298435426729995726e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 216.09201242573492167501758984488
y[1] (numeric) = 216.09201242573492166968904061336
absolute error = 5.32854923152e-18
relative error = 2.4658705204808440910918677700181e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 216.5246300797918489536642997833
y[1] (numeric) = 216.52463007979184894832477167616
absolute error = 5.33952810714e-18
relative error = 2.4660141920909051689273871283026e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 216.95811383265779494497315049678
y[1] (numeric) = 216.95811383265779493962262153436
absolute error = 5.35052896242e-18
relative error = 2.4661575766403106126196826711984e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 217.39246541826834909114232559919
y[1] (numeric) = 217.3924654182683490857807737578
absolute error = 5.36155184139e-18
relative error = 2.4663006747148503441673984498159e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 217.82768657403043296991310857124
y[1] (numeric) = 217.82768657403043296454051178314
absolute error = 5.37259678810e-18
relative error = 2.4664434868678097114682152707111e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 218.2637790408292499245727365967
y[1] (numeric) = 218.26377904082924991918907274994
absolute error = 5.38366384676e-18
relative error = 2.4665860136843463302576935385893e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 218.70074456303524860708895429186
y[1] (numeric) = 218.70074456303524860169420123024
absolute error = 5.39475306162e-18
relative error = 2.4667282557262129994905767967574e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 219.13858488851110046223044915158
y[1] (numeric) = 219.13858488851110045682458467451
absolute error = 5.40586447707e-18
relative error = 2.4668702135775342594927398681641e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 219.57730176861869118058311449658
y[1] (numeric) = 219.57730176861869117516611635908
absolute error = 5.41699813750e-18
relative error = 2.4670118877807344561860348992638e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 220.01689695822612614842796130944
y[1] (numeric) = 220.01689695822612614299980722195
absolute error = 5.42815408749e-18
relative error = 2.4671532789232208371988400122689e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 220.457372215714749922502487811
y[1] (numeric) = 220.45737221571474991706315543936
absolute error = 5.43933237164e-18
relative error = 2.4672943875597329002105599092330e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 220.89872930298617975772341518244
y[1] (numeric) = 220.89872930298617975227288214776
absolute error = 5.45053303468e-18
relative error = 2.4674352142623746406026780121718e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 221.3409699854693532160049097017
y[1] (numeric) = 221.3409699854693532105431535803
absolute error = 5.46175612140e-18
relative error = 2.4675757595887262614568471772433e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 221.7840960321275898843627359641
y[1] (numeric) = 221.7840960321275898788897342874
absolute error = 5.47300167670e-18
relative error = 2.4677160241044435919629793857909e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
memory used=240.3MB, alloc=4.4MB, time=11.30
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 222.2281092154656672305512230193
y[1] (numeric) = 222.22810921546566722506695327374
absolute error = 5.48426974556e-18
relative error = 2.4678560083695881987985681652243e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 222.67301131153691062453647540706
y[1] (numeric) = 222.67301131153691061904091503401
absolute error = 5.49556037305e-18
relative error = 2.4679957129430842436271326343609e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 223.11880409995029755416592443788
y[1] (numeric) = 223.11880409995029754865905083353
absolute error = 5.50687360435e-18
relative error = 2.4681351383916039569388633492011e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 223.56548936387757606345109186904
y[1] (numeric) = 223.56548936387757605793288238436
absolute error = 5.51820948468e-18
relative error = 2.4682742852580897940850747894550e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 224.01306889006039744193732859848
y[1] (numeric) = 224.01306889006039743640776053909
absolute error = 5.52956805939e-18
relative error = 2.4684131541020776832938989232600e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 224.46154446881746319369129536556
y[1] (numeric) = 224.46154446881746318815034599163
absolute error = 5.54094937393e-18
relative error = 2.4685517454860768173226981786223e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 224.91091789405168631449407093796
y[1] (numeric) = 224.91091789405168630894171746413
absolute error = 5.55235347383e-18
relative error = 2.4686900599665577322734830564120e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 225.36119096325736690588500610558
y[1] (numeric) = 225.36119096325736690032122570088
absolute error = 5.56378040470e-18
relative error = 2.4688280980939226797958604236015e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 225.81236547752738215475878922428
y[1] (numeric) = 225.81236547752738214918355901205
absolute error = 5.57523021223e-18
relative error = 2.4689658604124765091927471962626e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 226.26444324156039070727565128448
y[1] (numeric) = 226.26444324156039070168894834224
absolute error = 5.58670294224e-18
relative error = 2.4691033474824960927930070191014e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 226.71742606366805146590221575104
y[1] (numeric) = 226.71742606366805146030401711042
absolute error = 5.59819864062e-18
relative error = 2.4692405598535167956324322951171e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 227.17131575578225683845819096313
y[1] (numeric) = 227.17131575578225683284847360979
absolute error = 5.60971735334e-18
relative error = 2.4693774980687517767086630161001e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 227.62611413346238046810191092507
y[1] (numeric) = 227.62611413346238046248065179858
absolute error = 5.62125912649e-18
relative error = 2.4695141626826382549793193552614e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 228.08182301590253947324565409394
y[1] (numeric) = 228.08182301590253946761283008771
absolute error = 5.63282400623e-18
relative error = 2.4696505542387140801487536431451e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 228.53844422593887122644970950826
y[1] (numeric) = 228.53844422593887122080529746946
absolute error = 5.64441203880e-18
relative error = 2.4697866732740124321067893624915e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 228.99597959005682470140231553642
y[1] (numeric) = 228.99597959005682469574629226583
absolute error = 5.65602327059e-18
relative error = 2.4699225203496056163677309171648e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 229.45443093839846641715086888623
y[1] (numeric) = 229.4544309383984664114832111382
absolute error = 5.66765774803e-18
relative error = 2.4700580960023359355064112066055e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 229.91380010476980100880819054194
y[1] (numeric) = 229.91380010476980100312887502429
absolute error = 5.67931551765e-18
relative error = 2.4701934007710643247510345615974e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 230.37408892664810645401614121436
y[1] (numeric) = 230.37408892664810644832514458828
absolute error = 5.69099662608e-18
relative error = 2.4703284351965609656828855672187e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 230.83529924518928398450750193896
y[1] (numeric) = 230.83529924518928397880480081891
absolute error = 5.70270112005e-18
relative error = 2.4704631998213968866421786549096e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 231.29743290523522271216577586927
y[1] (numeric) = 231.29743290523522270645134682289
absolute error = 5.71442904638e-18
relative error = 2.4705976951855131066331016908154e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 231.76049175532117899904142532434
y[1] (numeric) = 231.76049175532117899331524487237
absolute error = 5.72618045197e-18
relative error = 2.4707319218218425841139524185132e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 232.22447764768317060084203399438
y[1] (numeric) = 232.22447764768317059510407861054
absolute error = 5.73795538384e-18
relative error = 2.4708658802735154939546227790643e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.918
y[1] (analytic) = 232.68939243826538561347297812406
y[1] (numeric) = 232.68939243826538560772322423497
absolute error = 5.74975388909e-18
relative error = 2.4709995710764778659589307699079e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 233.15523798672760625226440271472
y[1] (numeric) = 233.15523798672760624650282669981
absolute error = 5.76157601491e-18
relative error = 2.4711329947637627172224443302139e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 233.62201615645264749357962955188
y[1] (numeric) = 233.62201615645264748780620774331
absolute error = 5.77342180857e-18
relative error = 2.4712661518611493699294700583888e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 234.08972881455381060855957340978
y[1] (numeric) = 234.0897288145538106027742820923
absolute error = 5.78529131748e-18
relative error = 2.4713990429127778390218376701299e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 234.55837783188235161881731134861
y[1] (numeric) = 234.5583778318823516130201267595
absolute error = 5.79718458911e-18
relative error = 2.4715316684467697504238873535543e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 235.0279650830349647039566378408
y[1] (numeric) = 235.02796508303496469814753616977
absolute error = 5.80910167103e-18
relative error = 2.4716640289923178486125411988417e-18 %
Correct digits = 19
h = 0.001
memory used=244.1MB, alloc=4.4MB, time=11.48
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 235.4984924463612805908482457784
y[1] (numeric) = 235.49849244636128058502720316748
absolute error = 5.82104261092e-18
relative error = 2.4717961250838324529402253436614e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 235.96996180397137995465710046402
y[1] (numeric) = 235.9699618039713799488240930075
absolute error = 5.83300745652e-18
relative error = 2.4719279572396109734898560075853e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 236.44237504174332186167462071292
y[1] (numeric) = 236.4423750417433218558296244572
absolute error = 5.84499625572e-18
relative error = 2.4720595259999736660781059182795e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 236.91573404933068728406944843264
y[1] (numeric) = 236.91573404933068727821243937619
absolute error = 5.85700905645e-18
relative error = 2.4721908318805247741205669562646e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 237.39004072017013771673087574153
y[1] (numeric) = 237.39004072017013771086182983477
absolute error = 5.86904590676e-18
relative error = 2.4723218754060095129044494688724e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 237.86529695148898892643940707784
y[1] (numeric) = 237.86529695148898892055830022302
absolute error = 5.88110685482e-18
relative error = 2.4724526571101339689241176723940e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 238.34150464431279986365946308
y[1] (numeric) = 238.34150464431279985776627113115
absolute error = 5.89319194885e-18
relative error = 2.4725831775060167867586948904922e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 238.81866570347297676730988352761
y[1] (numeric) = 238.8186657034729767614045822904
absolute error = 5.90530123721e-18
relative error = 2.4727134371239907805943889065033e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 239.29678203761439249292865856368
y[1] (numeric) = 239.29678203761439248701122379535
absolute error = 5.91743476833e-18
relative error = 2.4728434364820898277127695526557e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 239.77585555920302109470921101641
y[1] (numeric) = 239.77585555920302108877961842568
absolute error = 5.92959259073e-18
relative error = 2.4729731760944233890514961200605e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 240.25588818453358769194656814497
y[1] (numeric) = 240.25588818453358768600479339191
absolute error = 5.94177475306e-18
relative error = 2.4731026564877756255772888543490e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 240.73688183373723365049289879373
y[1] (numeric) = 240.73688183373723364453891748969
absolute error = 5.95398130404e-18
relative error = 2.4732318781764664289762066825312e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 241.21883843078919710988315199748
y[1] (numeric) = 241.21883843078919710391693970498
absolute error = 5.96621229250e-18
relative error = 2.4733608416789689901834786701863e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 241.70175990351650888685291578078
y[1] (numeric) = 241.70175990351650888087444801342
absolute error = 5.97846776736e-18
relative error = 2.4734895475095047167864872018472e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 242.18564818360570378603212048412
y[1] (numeric) = 242.18564818360570378004137270647
absolute error = 5.99074777765e-18
relative error = 2.4736179961862547152770513686861e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 242.67050520661054734865983967344
y[1] (numeric) = 242.67050520661054734265678730096
absolute error = 6.00305237248e-18
relative error = 2.4737461882188688157649756771075e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 243.15633291195977807022719379462
y[1] (numeric) = 243.15633291195977806421181219355
absolute error = 6.01538160107e-18
relative error = 2.4738741241207993826503276594810e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 243.64313324296486511801723746739
y[1] (numeric) = 243.64313324296486511198950195464
absolute error = 6.02773551275e-18
relative error = 2.4740018044091744842650404525187e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 244.1309081468277815795727109219
y[1] (numeric) = 244.13090814682778157353259676498
absolute error = 6.04011415692e-18
relative error = 2.4741292295882875013858319726476e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 244.61965957464879327318465981331
y[1] (numeric) = 244.61965957464879326713214223021
absolute error = 6.05251758310e-18
relative error = 2.4742564001700760501583885786011e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 245.10938948143426315155717575394
y[1] (numeric) = 245.10938948143426314549222991304
absolute error = 6.06494584090e-18
relative error = 2.4743833166617174798981685583048e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 245.6000998261044713298658826278
y[1] (numeric) = 245.60009982610447132378848364775
absolute error = 6.07739898005e-18
relative error = 2.4745099795778023750731564123389e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 246.0917925715014507694902913481
y[1] (numeric) = 246.09179257150145076340041429777
absolute error = 6.08987705033e-18
relative error = 2.4746363894117269596875653588049e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 246.58446968439683864876276843494
y[1] (numeric) = 246.58446968439683864266038833327
absolute error = 6.10238010167e-18
relative error = 2.4747625466763696972672328721174e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 247.0781331354997434521396118773
y[1] (numeric) = 247.0781331354997434460247036932
absolute error = 6.11490818410e-18
relative error = 2.4748884518835717837365763699833e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 247.57278489946462780926260145318
y[1] (numeric) = 247.57278489946462780313514010547
absolute error = 6.12746134771e-18
relative error = 2.4750141055279014786563579005307e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 248.06842695489920711544239026468
y[1] (numeric) = 248.06842695489920710930235062196
absolute error = 6.14003964272e-18
relative error = 2.4751395081149555332806556984995e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 248.56506128437236396515822995284
y[1] (numeric) = 248.5650612843723639590055868334
absolute error = 6.15264311944e-18
relative error = 2.4752646601450681644880612775181e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.4MB, time=11.67
x[1] = 1.952
y[1] (analytic) = 249.06268987442207843023177414393
y[1] (numeric) = 249.06268987442207842406650231564
absolute error = 6.16527182829e-18
relative error = 2.4753895621213047859022647026475e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 249.56131471556337421439608339595
y[1] (numeric) = 249.56131471556337420821815757617
absolute error = 6.17792581978e-18
relative error = 2.4755142145413318978081039145432e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 250.06093780229628071604446051638
y[1] (numeric) = 250.06093780229628070985385537186
absolute error = 6.19060514452e-18
relative error = 2.4756386179013811519898174911971e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 250.56156113311381103100737786252
y[1] (numeric) = 250.56156113311381102480406800927
absolute error = 6.20330985325e-18
relative error = 2.4757627727081480870728000676291e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 251.06318671050995592726951836938
y[1] (numeric) = 251.06318671050995592105347837262
absolute error = 6.21603999676e-18
relative error = 2.4758866794467344348342135792910e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 251.56581654098769382360283983218
y[1] (numeric) = 251.5658165409876938173740442062
absolute error = 6.22879562598e-18
relative error = 2.4760103386165506565821896180820e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 252.06945263506701680415558765544
y[1] (numeric) = 252.0694526350670167979140108635
absolute error = 6.24157679194e-18
relative error = 2.4761337507152160814996458432692e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 252.57409700729297270110132512614
y[1] (numeric) = 252.57409700729297269484694158037
absolute error = 6.25438354577e-18
relative error = 2.4762569162384879313612248878660e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 253.07975167624372327751632252987
y[1] (numeric) = 253.07975167624372327124910659119
absolute error = 6.26721593868e-18
relative error = 2.4763798356722884545417765263561e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 253.58641866453861854271804736386
y[1] (numeric) = 253.58641866453861853643797334185
absolute error = 6.28007402201e-18
relative error = 2.4765025095124315510897522791025e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 254.09409999884628723236202776638
y[1] (numeric) = 254.0940999988462872260690699192
absolute error = 6.29295784718e-18
relative error = 2.4766249382447578035535007762576e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 254.6027977098927434856590203375
y[1] (numeric) = 254.60279770989274347935315287175
absolute error = 6.30586746575e-18
relative error = 2.4767471223687114104306725994085e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 255.11251383246950975213920202859
y[1] (numeric) = 255.11251383246950974582039909926
absolute error = 6.31880292933e-18
relative error = 2.4768690623618372883787186562321e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 255.62325040544175596045502398812
y[1] (numeric) = 255.62325040544175595412325969844
absolute error = 6.33176428968e-18
relative error = 2.4769907587190309069583316016823e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 256.13500947175645498177941342712
y[1] (numeric) = 256.13500947175645497543466182848
absolute error = 6.34475159864e-18
relative error = 2.4771122119249474573396270830447e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 256.64779307845055442042118797124
y[1] (numeric) = 256.64779307845055441406342306307
absolute error = 6.35776490817e-18
relative error = 2.4772334224696008376680735679241e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 257.16160327665916476434485585674
y[1] (numeric) = 257.16160327665916475797405158644
absolute error = 6.37080427030e-18
relative error = 2.4773543908287786003885959620158e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 257.6764421216237639283474149672
y[1] (numeric) = 257.67644212162376392196354522999
absolute error = 6.38386973721e-18
relative error = 2.4774751174951420323143707131686e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 258.19231167270041822271033435737
y[1] (numeric) = 258.19231167270041821631337299622
absolute error = 6.39696136115e-18
relative error = 2.4775956029469847446805462199806e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 258.70921399336801978021060383362
y[1] (numeric) = 258.70921399336801977380052463913
absolute error = 6.41007919449e-18
relative error = 2.4777158476676140436652184062375e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 259.22715115123654047444057061822
y[1] (numeric) = 259.22715115123654046801734732853
absolute error = 6.42322328969e-18
relative error = 2.4778358521336396505000776946663e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 259.74612521805530236245224738219
y[1] (numeric) = 259.74612521805530235601585368283
absolute error = 6.43639369936e-18
relative error = 2.4779556168380515348578994402274e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 260.26613826972126468480787325098
y[1] (numeric) = 260.26613826972126467835828277483
absolute error = 6.44959047615e-18
relative error = 2.4780751422477035358666759534043e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 260.78719238628732745618473903486
y[1] (numeric) = 260.78719238628732744972192536202
absolute error = 6.46281367284e-18
relative error = 2.4781944288379963735617974138240e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 261.30928965197065167974865017457
y[1] (numeric) = 261.30928965197065167327258683222
absolute error = 6.47606334235e-18
relative error = 2.4783134770965311809894011663808e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 261.83243215516099621857689598968
y[1] (numeric) = 261.83243215516099621208755645201
absolute error = 6.48933953767e-18
relative error = 2.4784322874961646356010194819512e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 262.35662198842907135747822203756
y[1] (numeric) = 262.35662198842907135097557972565
absolute error = 6.50264231191e-18
relative error = 2.4785508605141254454170777293350e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 262.8818612485349090886240640007
y[1] (numeric) = 262.88186124853490908210809228243
absolute error = 6.51597171827e-18
relative error = 2.4786691966204704270453964009302e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 263.40815203643625015447219678791
y[1] (numeric) = 263.40815203643625014794286897785
absolute error = 6.52932781006e-18
relative error = 2.4787872962856604604735539278976e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=251.7MB, alloc=4.4MB, time=11.85
x[1] = 1.981
y[1] (analytic) = 263.93549645729694788153098172657
y[1] (numeric) = 263.93549645729694787498827108585
absolute error = 6.54271064072e-18
relative error = 2.4789051599880458528764481746414e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 264.46389662049538883857955810808
y[1] (numeric) = 264.4638966204953888320234378443
absolute error = 6.55612026378e-18
relative error = 2.4790227881985743380904664611471e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 264.99335463963293035302662319486
y[1] (numeric) = 264.99335463963293034645706646198
absolute error = 6.56955673288e-18
relative error = 2.4791401813883238031043317839942e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 265.52387263254235491915787737397
y[1] (numeric) = 265.52387263254235491257485727222
absolute error = 6.58302010175e-18
relative error = 2.4792573400208803963682218027137e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 266.05545272129634153208977871978
y[1] (numeric) = 266.05545272129634152549326829552
absolute error = 6.59651042426e-18
relative error = 2.4793742645711181053941975693892e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 266.58809703221595398131495407568
y[1] (numeric) = 266.58809703221595397470492632132
absolute error = 6.61002775436e-18
relative error = 2.4794909555024912964529136343269e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 267.12180769587914613779245215436
y[1] (numeric) = 267.12180769587914613116888000822
absolute error = 6.62357214614e-18
relative error = 2.4796074132895219239182042781637e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 267.65658684712928426860399835786
y[1] (numeric) = 267.65658684712928426196685470411
absolute error = 6.63714365375e-18
relative error = 2.4797236383877118160233841240145e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 268.1924366250836864132655213058
y[1] (numeric) = 268.19243662508368640661477897431
absolute error = 6.65074233149e-18
relative error = 2.4798396312672021129402181736621e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 268.72935917314217885585146770334
y[1] (numeric) = 268.72935917314217884918709946959
absolute error = 6.66436823375e-18
relative error = 2.4799553923902118930601870878503e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 269.26735663899566972715780545511
y[1] (numeric) = 269.26735663899566972047978404007
absolute error = 6.67802141504e-18
relative error = 2.4800709222221702213460826777791e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 269.80643117463473977119813510838
y[1] (numeric) = 269.80643117463473976450643317841
absolute error = 6.69170192997e-18
relative error = 2.4801862212241832170131019407730e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 270.34658493635825031039598706439
y[1] (numeric) = 270.34658493635825030369057723112
absolute error = 6.70540983327e-18
relative error = 2.4803012898603868580181869441332e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 270.88782008478196844390517680419
y[1] (numeric) = 270.88782008478196843718603162443
absolute error = 6.71914517976e-18
relative error = 2.4804161285867538749376195195594e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 271.43013878484720951355902291088
y[1] (numeric) = 271.43013878484720950682611488649
absolute error = 6.73290802439e-18
relative error = 2.4805307378658237733106802347516e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 271.97354320582949687201830320815
y[1] (numeric) = 271.97354320582949686527160478596
absolute error = 6.74669842219e-18
relative error = 2.4806451181481651081536808735650e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 272.51803552134723898775703315358
y[1] (numeric) = 272.51803552134723898099651672524
absolute error = 6.76051642834e-18
relative error = 2.4807592698980931814121775903798e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 273.06361790937042392159449799903
y[1] (numeric) = 273.06361790937042391482013590091
absolute error = 6.77436209812e-18
relative error = 2.4808731935751341500133292758973e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 273.61029255222933120955145643906
y[1] (numeric) = 273.61029255222933120276322095216
absolute error = 6.78823548690e-18
relative error = 2.4809868896303296558733901745894e-18 %
Correct digits = 19
h = 0.001
NO POLE for equation 1
Finished!
diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ;
Iterations = 1900
Total Elapsed Time = 11 Seconds
Elapsed Time(since restart) = 11 Seconds
Time to Timeout = 2 Minutes 48 Seconds
Percent Done = 100.1 %
> quit
memory used=254.3MB, alloc=4.4MB, time=11.96