|\^/| 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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 sinh ID_CONST $eq_no = 1
> array_tmp1[1] := sinh(array_const_0D1[1]);
> #emit pre cosh ID_CONST $eq_no = 1
> array_tmp2[1] := cosh(array_const_0D05[1]);
> #emit pre mult CONST CONST $eq_no = 1 i = 1
> array_tmp3[1] := array_tmp1[1] * array_tmp2[1];
> #emit pre tanh ID_CONST $eq_no = 1
> array_tmp4[1] := tanh(array_const_0D02[1]);
> #emit pre div CONST CONST $eq_no = 1 i = 1
> array_tmp5[1] := array_tmp3[1] / array_tmp4[1];
> #emit pre add CONST CONST $eq_no = 1 i = 1
> array_tmp6[1] := array_const_0D0[1] + array_tmp5[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp6[1] * 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 assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp6[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp6[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp6[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp6[5] * 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 assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d + 1 <= glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp6[kkk] * 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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] := sinh(array_const_0D1[1]);
array_tmp2[1] := cosh(array_const_0D05[1]);
array_tmp3[1] := array_tmp1[1]*array_tmp2[1];
array_tmp4[1] := tanh(array_const_0D02[1]);
array_tmp5[1] := array_tmp3[1]/array_tmp4[1];
array_tmp6[1] := array_const_0D0[1] + array_tmp5[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp6[1]*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;
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp6[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;
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp6[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;
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp6[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;
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp6[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
order_d := 1;
if kkk + order_d + 1 <= glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp6[kkk]*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(0.1) * cosh(0.05) / tanh(0.02)) * x);
> end;
exact_soln_y := proc(x) return sinh(0.1)*cosh(0.05)*x/tanh(0.02) 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_0D1,
> array_const_0D05,
> array_const_0D02,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1_g,
> array_tmp1,
> array_tmp2_g,
> array_tmp2,
> array_tmp3,
> array_tmp4_g,
> array_tmp4,
> array_tmp5,
> array_tmp6,
> 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/mult_div_sinh_cosh_tanhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.1;");
> omniout_str(ALWAYS,"x_end := 5.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 1000000;");
> 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(0.1) * cosh(0.05) / tanh(0.02)) * x);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 1.0e-200;
> glob_smallish_float := 1.0e-64;
> glob_large_float := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(max_terms + 1),[]);
> array_1st_rel_error:= Array(0..(max_terms + 1),[]);
> array_last_rel_error:= Array(0..(max_terms + 1),[]);
> array_type_pole:= Array(0..(max_terms + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1_g:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2_g:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4_g:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_tmp5:= Array(0..(max_terms + 1),[]);
> array_tmp6:= Array(0..(max_terms + 1),[]);
> array_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_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> term := 1;
> while (term <= max_terms) do # do number 2
> array_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_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4_g[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp5 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp5[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_tmp6 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_tmp6[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_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_0D1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D1[1] := 0.1;
> array_const_0D05 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D05[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D05[1] := 0.05;
> array_const_0D02 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 2
> array_const_0D02[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_const_0D02[1] := 0.02;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 2
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 2
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 3
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 3;
> iiif := iiif + 1;
> od;# end do number 2;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.1;
> x_end := 5.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 1000000;
> #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 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);");
> 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,"2013-01-28T18:35:01-06:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"mult_div_sinh_cosh_tanh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);")
> ;
> 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,"mult_div_sinh_cosh_tanh diffeq.mxt")
> ;
> logitem_str(html_log_file,"mult_div_sinh_cosh_tanh 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_0D1, array_const_0D05, array_const_0D02,
array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0,
array_tmp1_g, array_tmp1, array_tmp2_g, array_tmp2, array_tmp3,
array_tmp4_g, array_tmp4, array_tmp5, array_tmp6, 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/mult_div_sinh_cosh_tanhpostod\
e.ode#################");
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.1;");
omniout_str(ALWAYS, "x_end := 5.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 1000000;");
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(0.1) * cosh(0.05) / tanh(0.02)) * x);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.10*10^(-199);
glob_smallish_float := 0.10*10^(-63);
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. max_terms + 1, []);
array_1st_rel_error := Array(0 .. max_terms + 1, []);
array_last_rel_error := Array(0 .. max_terms + 1, []);
array_type_pole := Array(0 .. max_terms + 1, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1_g := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2_g := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4_g := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_tmp5 := Array(0 .. max_terms + 1, []);
array_tmp6 := Array(0 .. max_terms + 1, []);
array_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_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp5[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp6[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_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_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp1_g[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp2_g[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp4_g[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_tmp5 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1
end do;
array_tmp6 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1
end do;
array_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_0D1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D1[term] := 0.; term := term + 1
end do;
array_const_0D1[1] := 0.1;
array_const_0D05 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D05[term] := 0.; term := term + 1
end do;
array_const_0D05[1] := 0.05;
array_const_0D02 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D02[term] := 0.; term := term + 1
end do;
array_const_0D02[1] := 0.02;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.1;
x_end := 5.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
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 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);");
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, "2013-01-28T18:35:01-06:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file, "mult_div_sinh_cosh_tanh");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);")
;
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, "mult_div_sinh_cosh_tanh diffeq.mxt\
");
logitem_str(html_log_file, "mult_div_sinh_cosh_tanh 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/mult_div_sinh_cosh_tanhpostode.ode#################
diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.1;
x_end := 5.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 1000000;
#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(0.1) * cosh(0.05) / tanh(0.02)) * x);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
opt_iter = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 4.9
estimated_steps = 4900
step_error = 2.0408163265306122448979591836735e-14
est_needed_step_err = 2.0408163265306122448979591836735e-14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_value3 = 0
value3 = 0
best_h = 0.001
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 0.50152678226329824415335035708356
y[1] (numeric) = 0.50152678226329824415335035708356
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) = 0.5065420500859312265948838606544
y[1] (numeric) = 0.5065420500859312265948838606544
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.102
y[1] (analytic) = 0.51155731790856420903641736422523
y[1] (numeric) = 0.51155731790856420903641736422524
absolute error = 1e-32
relative error = 1.9548151594983928473413755319769e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.103
y[1] (analytic) = 0.51657258573119719147795086779607
y[1] (numeric) = 0.51657258573119719147795086779608
absolute error = 1e-32
relative error = 1.9358363715420977711535951870063e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.104
y[1] (analytic) = 0.5215878535538301739194843713669
y[1] (numeric) = 0.52158785355383017391948437136692
absolute error = 2e-32
relative error = 3.8344451205545398159388520050317e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.105
y[1] (analytic) = 0.52660312137646315636101787493774
y[1] (numeric) = 0.52660312137646315636101787493776
absolute error = 2e-32
relative error = 3.7979265955968775319775296049837e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.106
y[1] (analytic) = 0.53161838919909613880255137850857
y[1] (numeric) = 0.5316183891990961388025513785086
absolute error = 3e-32
relative error = 5.6431456491180019932684991772165e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.107
y[1] (analytic) = 0.53663365702172912124408488207941
y[1] (numeric) = 0.53663365702172912124408488207944
absolute error = 3e-32
relative error = 5.5904059701542823484715973157471e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.108
y[1] (analytic) = 0.54164892484436210368561838565024
y[1] (numeric) = 0.54164892484436210368561838565028
absolute error = 4e-32
relative error = 7.3848572692161507566229742319129e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.109
y[1] (analytic) = 0.54666419266699508612715188922108
y[1] (numeric) = 0.54666419266699508612715188922112
absolute error = 4e-32
relative error = 7.3171062850949016671126717160238e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 0.55167946048962806856868539279192
y[1] (numeric) = 0.55167946048962806856868539279196
absolute error = 4e-32
relative error = 7.2505871370485843792298292458780e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.111
y[1] (analytic) = 0.55669472831226105101021889636275
y[1] (numeric) = 0.5566947283122610510102188963628
absolute error = 5e-32
relative error = 8.9815831652628860553522659577319e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.112
y[1] (analytic) = 0.56170999613489403345175239993359
y[1] (numeric) = 0.56170999613489403345175239993364
absolute error = 5e-32
relative error = 8.9013904584301817155723350116806e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.113
y[1] (analytic) = 0.56672526395752701589328590350442
y[1] (numeric) = 0.56672526395752701589328590350448
absolute error = 6e-32
relative error = 1.0587140509849702854627626774955e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.114
y[1] (analytic) = 0.57174053178015999833481940707526
y[1] (numeric) = 0.57174053178015999833481940707532
absolute error = 6e-32
relative error = 1.0494270856254530022569489697981e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.115
y[1] (analytic) = 0.57675579960279298077635291064609
y[1] (numeric) = 0.57675579960279298077635291064616
absolute error = 7e-32
relative error = 1.2136852381581326026102105476796e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.116
y[1] (analytic) = 0.58177106742542596321788641421693
y[1] (numeric) = 0.581771067425425963217886414217
absolute error = 7e-32
relative error = 1.2032224343809073215532259739927e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.117
y[1] (analytic) = 0.58678633524805894565941991778777
y[1] (numeric) = 0.58678633524805894565941991778784
absolute error = 7e-32
relative error = 1.1929384819503012760698650682321e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.118
y[1] (analytic) = 0.5918016030706919281009534213586
y[1] (numeric) = 0.59180160307069192810095342135868
absolute error = 8e-32
relative error = 1.3518043814836343757886122322824e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.119
y[1] (analytic) = 0.59681687089332491054248692492944
y[1] (numeric) = 0.59681687089332491054248692492952
absolute error = 8e-32
relative error = 1.3404446807988979524626575076413e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 0.60183213871595789298402042850027
y[1] (numeric) = 0.60183213871595789298402042850036
absolute error = 9e-32
relative error = 1.4954335970162705282161522819624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.121
y[1] (analytic) = 0.60684740653859087542555393207111
y[1] (numeric) = 0.6068474065385908754255539320712
absolute error = 9e-32
relative error = 1.4830746416690286230242832548387e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.122
y[1] (analytic) = 0.61186267436122385786708743564194
y[1] (numeric) = 0.61186267436122385786708743564204
absolute error = 1.0e-31
relative error = 1.6343536579412792658100024939479e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.123
y[1] (analytic) = 0.61687794218385684030862093921278
y[1] (numeric) = 0.61687794218385684030862093921288
absolute error = 1.0e-31
relative error = 1.6210662298279355319416284899321e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.124
y[1] (analytic) = 0.62189321000648982275015444278361
y[1] (numeric) = 0.62189321000648982275015444278372
absolute error = 1.1e-31
relative error = 1.7687924265783844957395349571598e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.125
y[1] (analytic) = 0.62690847782912280519168794635445
y[1] (numeric) = 0.62690847782912280519168794635456
absolute error = 1.1e-31
relative error = 1.7546420871657574197736186775025e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.126
y[1] (analytic) = 0.63192374565175578763322144992529
y[1] (numeric) = 0.6319237456517557876332214499254
absolute error = 1.1e-31
relative error = 1.7407163563152355354897010689509e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.127
y[1] (analytic) = 0.63693901347438877007475495349612
y[1] (numeric) = 0.63693901347438877007475495349624
absolute error = 1.2e-31
relative error = 1.8840108308866400355479083867242e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.128
y[1] (analytic) = 0.64195428129702175251628845706696
y[1] (numeric) = 0.64195428129702175251628845706708
absolute error = 1.2e-31
relative error = 1.8692919962703381602701903524529e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.129
y[1] (analytic) = 0.64696954911965473495782196063779
y[1] (numeric) = 0.64696954911965473495782196063792
absolute error = 1.3e-31
relative error = 2.0093681406936968337788092677530e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 0.65198481694228771739935546420863
y[1] (numeric) = 0.65198481694228771739935546420876
absolute error = 1.3e-31
relative error = 1.9939114626883607042882030426165e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.131
y[1] (analytic) = 0.65700008476492069984088896777946
y[1] (numeric) = 0.6570000847649206998408889677796
absolute error = 1.4e-31
relative error = 2.1308977463845076229034230989794e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=3.8MB, alloc=2.8MB, time=0.20
TOP MAIN SOLVE Loop
x[1] = 0.132
y[1] (analytic) = 0.6620153525875536822824224713503
y[1] (numeric) = 0.66201535258755368228242247135044
absolute error = 1.4e-31
relative error = 2.1147545816391704439420335300478e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.133
y[1] (analytic) = 0.66703062041018666472395597492113
y[1] (numeric) = 0.66703062041018666472395597492128
absolute error = 1.5e-31
relative error = 2.2487723263402564334077477924246e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.134
y[1] (analytic) = 0.67204588823281964716548947849197
y[1] (numeric) = 0.67204588823281964716548947849212
absolute error = 1.5e-31
relative error = 2.2319904433078664600241078835259e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.135
y[1] (analytic) = 0.67706115605545262960702298206281
y[1] (numeric) = 0.67706115605545262960702298206296
absolute error = 1.5e-31
relative error = 2.2154571807648452269868922695738e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.136
y[1] (analytic) = 0.68207642387808561204855648563364
y[1] (numeric) = 0.6820764238780856120485564856338
absolute error = 1.6e-31
relative error = 2.3457781913980714168096506383723e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.137
y[1] (analytic) = 0.68709169170071859449008998920448
y[1] (numeric) = 0.68709169170071859449008998920464
absolute error = 1.6e-31
relative error = 2.3286557228477205305555655972163e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.138
y[1] (analytic) = 0.69210695952335157693162349277531
y[1] (numeric) = 0.69210695952335157693162349277548
absolute error = 1.7e-31
relative error = 2.4562677438914588386159022988754e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.139
y[1] (analytic) = 0.69712222734598455937315699634615
y[1] (numeric) = 0.69712222734598455937315699634632
absolute error = 1.7e-31
relative error = 2.4385967529282109333021188290993e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 0.70213749516861754181469049991698
y[1] (numeric) = 0.70213749516861754181469049991716
absolute error = 1.8e-31
relative error = 2.5636004520278923340848324833641e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.141
y[1] (analytic) = 0.70715276299125052425622400348782
y[1] (numeric) = 0.707152762991250524256224003488
absolute error = 1.8e-31
relative error = 2.5454188885383328139849400544040e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.142
y[1] (analytic) = 0.71216803081388350669775750705866
y[1] (numeric) = 0.71216803081388350669775750705884
absolute error = 1.8e-31
relative error = 2.5274934034077811744498348427533e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.143
y[1] (analytic) = 0.71718329863651648913929101062949
y[1] (numeric) = 0.71718329863651648913929101062968
absolute error = 1.9e-31
relative error = 2.6492529923831366001032068398401e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.144
y[1] (analytic) = 0.72219856645914947158082451420033
y[1] (numeric) = 0.72219856645914947158082451420052
absolute error = 1.9e-31
relative error = 2.6308554021582537070469345701189e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.145
y[1] (analytic) = 0.72721383428178245402235801777116
y[1] (numeric) = 0.72721383428178245402235801777136
absolute error = 2.0e-31
relative error = 2.7502227071563595921216593691262e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.146
y[1] (analytic) = 0.732229102104415436463891521342
y[1] (numeric) = 0.7322291021044154364638915213422
absolute error = 2.0e-31
relative error = 2.7313855653265215127235658118034e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.147
y[1] (analytic) = 0.73724436992704841890542502491283
y[1] (numeric) = 0.73724436992704841890542502491304
absolute error = 2.1e-31
relative error = 2.8484449466976581489831472037378e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.148
y[1] (analytic) = 0.74225963774968140134695852848367
y[1] (numeric) = 0.74225963774968140134695852848388
absolute error = 2.1e-31
relative error = 2.8291986970578091074359637766855e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.149
y[1] (analytic) = 0.7472749055723143837884920320545
y[1] (numeric) = 0.74727490557231438378849203205472
absolute error = 2.2e-31
relative error = 2.9440303475935527177409709354069e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 0.75229017339494736623002553562534
y[1] (numeric) = 0.75229017339494736623002553562556
absolute error = 2.2e-31
relative error = 2.9244034786095956996226977958375e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.151
y[1] (analytic) = 0.75730544121758034867155903919618
y[1] (numeric) = 0.7573054412175803486715590391964
absolute error = 2.2e-31
relative error = 2.9050365681552275161814878766597e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.152
y[1] (analytic) = 0.76232070904021333111309254276701
y[1] (numeric) = 0.76232070904021333111309254276724
absolute error = 2.3e-31
relative error = 3.0171028711731773814887282881697e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.153
y[1] (analytic) = 0.76733597686284631355462604633785
y[1] (numeric) = 0.76733597686284631355462604633808
absolute error = 2.3e-31
relative error = 2.9973832445642023659234424823646e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.154
y[1] (analytic) = 0.77235124468547929599615954990868
y[1] (numeric) = 0.77235124468547929599615954990892
absolute error = 2.4e-31
relative error = 3.1073944873065361625270696768049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.155
y[1] (analytic) = 0.77736651250811227843769305347952
y[1] (numeric) = 0.77736651250811227843769305347976
absolute error = 2.4e-31
relative error = 3.0873467809368165743817337434061e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.156
y[1] (analytic) = 0.78238178033074526087922655705035
y[1] (numeric) = 0.7823817803307452608792265570506
absolute error = 2.5e-31
relative error = 3.1953709337954498466157100041931e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.157
y[1] (analytic) = 0.78739704815337824332076006062119
y[1] (numeric) = 0.78739704815337824332076006062144
absolute error = 2.5e-31
relative error = 3.1750182526884724590576481570326e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.158
y[1] (analytic) = 0.79241231597601122576229356419202
y[1] (numeric) = 0.79241231597601122576229356419228
absolute error = 2.6e-31
relative error = 3.2811201284745176146514733612676e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.159
y[1] (analytic) = 0.79742758379864420820382706776286
y[1] (numeric) = 0.79742758379864420820382706776312
absolute error = 2.6e-31
relative error = 3.2604841528237344849995773023917e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 0.8024428516212771906453605713337
y[1] (numeric) = 0.80244285162127719064536057133396
absolute error = 2.6e-31
relative error = 3.2401061268685861444683299442518e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.161
y[1] (analytic) = 0.80745811944391017308689407490453
y[1] (numeric) = 0.8074581194439101730868940749048
absolute error = 2.7e-31
relative error = 3.3438266765581204357628249783009e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.162
y[1] (analytic) = 0.81247338726654315552842757847537
y[1] (numeric) = 0.81247338726654315552842757847564
absolute error = 2.7e-31
relative error = 3.3231857711472678404803384043608e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.163
y[1] (analytic) = 0.8174886550891761379699610820462
y[1] (numeric) = 0.81748865508917613796996108204648
absolute error = 2.8e-31
relative error = 3.4251239849861410871208395824087e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.164
y[1] (analytic) = 0.82250392291180912041149458561704
y[1] (numeric) = 0.82250392291180912041149458561732
absolute error = 2.8e-31
relative error = 3.4042390826386646170774198288574e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.165
y[1] (analytic) = 0.82751919073444210285302808918787
y[1] (numeric) = 0.82751919073444210285302808918816
absolute error = 2.9e-31
relative error = 3.5044504495734824499610841355078e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.166
y[1] (analytic) = 0.83253445855707508529456159275871
y[1] (numeric) = 0.832534458557075085294561592759
absolute error = 2.9e-31
relative error = 3.4833393022868952062866197732456e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.167
y[1] (analytic) = 0.83754972637970806773609509632955
y[1] (numeric) = 0.83754972637970806773609509632984
absolute error = 2.9e-31
relative error = 3.4624809831115245763088555829867e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.168
y[1] (analytic) = 0.84256499420234105017762859990038
y[1] (numeric) = 0.84256499420234105017762859990068
absolute error = 3.0e-31
relative error = 3.5605561833720726862289340046723e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.169
y[1] (analytic) = 0.84758026202497403261916210347122
y[1] (numeric) = 0.84758026202497403261916210347152
absolute error = 3.0e-31
relative error = 3.5394878035888059839435556969523e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 0.85259552984760701506069560704205
y[1] (numeric) = 0.85259552984760701506069560704236
absolute error = 3.1e-31
relative error = 3.6359561966670106960549584894771e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.171
y[1] (analytic) = 0.85761079767023999750222911061289
y[1] (numeric) = 0.8576107976702399975022291106132
absolute error = 3.1e-31
relative error = 3.6146932949321158966628242293047e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.172
y[1] (analytic) = 0.86262606549287297994376261418372
y[1] (numeric) = 0.86262606549287297994376261418404
absolute error = 3.2e-31
relative error = 3.7096027212806710777454940327748e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.173
y[1] (analytic) = 0.86764133331550596238529611775456
y[1] (numeric) = 0.86764133331550596238529611775488
absolute error = 3.2e-31
relative error = 3.6881599309842510137122830846085e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.174
y[1] (analytic) = 0.87265660113813894482682962132539
y[1] (numeric) = 0.87265660113813894482682962132572
absolute error = 3.3e-31
relative error = 3.7815562223399944391672816325485e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.175
y[1] (analytic) = 0.87767186896077192726836312489623
y[1] (numeric) = 0.87767186896077192726836312489656
absolute error = 3.3e-31
relative error = 3.7599473296409087566577543089339e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.176
y[1] (analytic) = 0.88268713678340490970989662846707
y[1] (numeric) = 0.8826871367834049097098966284674
absolute error = 3.3e-31
relative error = 3.7385839925406763205403807049059e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.177
y[1] (analytic) = 0.8877024046060378921514301320379
y[1] (numeric) = 0.88770240460603789215143013203824
absolute error = 3.4e-31
relative error = 3.8301124142036307314010679914667e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.178
y[1] (analytic) = 0.89271767242867087459296363560874
y[1] (numeric) = 0.89271767242867087459296363560908
absolute error = 3.4e-31
relative error = 3.8085949287305766261684777218517e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.179
y[1] (analytic) = 0.89773294025130385703449713917957
y[1] (numeric) = 0.89773294025130385703449713917992
absolute error = 3.5e-31
relative error = 3.8987095639157890865970450553954e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 0.90274820807393683947603064275041
y[1] (numeric) = 0.90274820807393683947603064275076
absolute error = 3.5e-31
relative error = 3.8770500663384791472270614717542e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.181
y[1] (analytic) = 0.90776347589656982191756414632124
y[1] (numeric) = 0.9077634758965698219175641463216
absolute error = 3.6e-31
relative error = 3.9657907545182864836671441731599e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.182
y[1] (analytic) = 0.91277874371920280435909764989208
y[1] (numeric) = 0.91277874371920280435909764989244
absolute error = 3.6e-31
relative error = 3.9440006954275266678228192051754e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.183
y[1] (analytic) = 0.91779401154183578680063115346291
y[1] (numeric) = 0.91779401154183578680063115346328
absolute error = 3.7e-31
relative error = 4.0314056895884888556646728184049e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.184
y[1] (analytic) = 0.92280927936446876924216465703375
y[1] (numeric) = 0.92280927936446876924216465703412
absolute error = 3.7e-31
relative error = 4.0094958760581166336230169878701e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.185
y[1] (analytic) = 0.92782454718710175168369816060459
y[1] (numeric) = 0.92782454718710175168369816060496
absolute error = 3.7e-31
relative error = 3.9878229253767214085764060852329e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.186
y[1] (analytic) = 0.93283981500973473412523166417542
y[1] (numeric) = 0.9328398150097347341252316641758
absolute error = 3.8e-31
relative error = 4.0735825581805218689758986892165e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.187
y[1] (analytic) = 0.93785508283236771656676516774626
y[1] (numeric) = 0.93785508283236771656676516774664
absolute error = 3.8e-31
relative error = 4.0517986942330324472166692844613e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.188
y[1] (analytic) = 0.94287035065500069900829867131709
y[1] (numeric) = 0.94287035065500069900829867131748
absolute error = 3.9e-31
relative error = 4.1363056938747908227255275884065e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
memory used=7.6MB, alloc=3.8MB, time=0.43
TOP MAIN SOLVE Loop
x[1] = 0.189
y[1] (analytic) = 0.94788561847763368144983217488793
y[1] (numeric) = 0.94788561847763368144983217488832
absolute error = 3.9e-31
relative error = 4.1144204785632839929756570720657e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 0.95290088630026666389136567845876
y[1] (numeric) = 0.95290088630026666389136567845916
absolute error = 4.0e-31
relative error = 4.1977083425018120090277958791926e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.191
y[1] (analytic) = 0.9579161541228996463328991820296
y[1] (numeric) = 0.95791615412289964633289918203
absolute error = 4.0e-31
relative error = 4.1757308119127972864674409269455e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.192
y[1] (analytic) = 0.96293142194553262877443268560044
y[1] (numeric) = 0.96293142194553262877443268560084
absolute error = 4.0e-31
relative error = 4.1539822139340848006004230054510e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.193
y[1] (analytic) = 0.96794668976816561121596618917127
y[1] (numeric) = 0.96794668976816561121596618917168
absolute error = 4.1e-31
relative error = 4.2357704647783828433065453236930e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.194
y[1] (analytic) = 0.97296195759079859365749969274211
y[1] (numeric) = 0.97296195759079859365749969274252
absolute error = 4.1e-31
relative error = 4.2139365964032365399905322034678e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.195
y[1] (analytic) = 0.97797722541343157609903319631294
y[1] (numeric) = 0.97797722541343157609903319631336
absolute error = 4.2e-31
relative error = 4.2945785350210845938515142456355e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.196
y[1] (analytic) = 0.98299249323606455854056669988378
y[1] (numeric) = 0.9829924932360645585405666998842
absolute error = 4.2e-31
relative error = 4.2726674200464872234747208056067e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.197
y[1] (analytic) = 0.98800776105869754098210020345461
y[1] (numeric) = 0.98800776105869754098210020345504
absolute error = 4.3e-31
relative error = 4.3521925327715487454006462351527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.198
y[1] (analytic) = 0.99302302888133052342363370702545
y[1] (numeric) = 0.99302302888133052342363370702588
absolute error = 4.3e-31
relative error = 4.3302117624040156709289257996216e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.199
y[1] (analytic) = 0.99803829670396350586516721059628
y[1] (numeric) = 0.99803829670396350586516721059672
absolute error = 4.4e-31
relative error = 4.4086484602154709039538157726194e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 1.0030535645265964883067007141671
y[1] (numeric) = 1.0030535645265964883067007141676
absolute error = 5e-31
relative error = 4.9847786567209017607205076065413e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.201
y[1] (analytic) = 1.008068832349229470748234217738
y[1] (numeric) = 1.0080688323492294707482342177384
absolute error = 4e-31
relative error = 3.9679830103250959289317473484903e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.202
y[1] (analytic) = 1.0130841001718624531897677213088
y[1] (numeric) = 1.0130841001718624531897677213092
absolute error = 4e-31
relative error = 3.9483395300759617906697089952801e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.203
y[1] (analytic) = 1.0180993679944954356313012248796
y[1] (numeric) = 1.01809936799449543563130122488
absolute error = 4e-31
relative error = 3.9288895816519422744595133844661e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.204
y[1] (analytic) = 1.0231146358171284180728347284505
y[1] (numeric) = 1.0231146358171284180728347284508
absolute error = 3e-31
relative error = 2.9322227392475892710120632979653e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.205
y[1] (analytic) = 1.0281299036397614005143682320213
y[1] (numeric) = 1.0281299036397614005143682320216
absolute error = 3e-31
relative error = 2.9179192136902839574949312818778e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.206
y[1] (analytic) = 1.0331451714623943829559017355921
y[1] (numeric) = 1.0331451714623943829559017355924
absolute error = 3e-31
relative error = 2.9037545573131466567303927805095e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.207
y[1] (analytic) = 1.038160439285027365397435239163
y[1] (numeric) = 1.0381604392850273653974352391632
absolute error = 2e-31
relative error = 1.9264845050129088930320802344120e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.208
y[1] (analytic) = 1.0431757071076603478389687427338
y[1] (numeric) = 1.043175707107660347838968742734
absolute error = 2e-31
relative error = 1.9172225602772699079694260025158e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.209
y[1] (analytic) = 1.0481909749302933302805022463046
y[1] (numeric) = 1.0481909749302933302805022463048
absolute error = 2e-31
relative error = 1.9080492465917327313762708541785e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 1.0532062427529263127220357498755
y[1] (numeric) = 1.0532062427529263127220357498756
absolute error = 1e-31
relative error = 9.4948164889921938299438240124592e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.211
y[1] (analytic) = 1.0582215105755592951635692534463
y[1] (numeric) = 1.0582215105755592951635692534464
absolute error = 1e-31
relative error = 9.4498173587126099729298722398886e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.212
y[1] (analytic) = 1.0632367783981922776051027570171
y[1] (numeric) = 1.0632367783981922776051027570172
absolute error = 1e-31
relative error = 9.4052427485300033221141652953611e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.213
y[1] (analytic) = 1.068252046220825260046636260588
y[1] (numeric) = 1.068252046220825260046636260588
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.214
y[1] (analytic) = 1.0732673140434582424881697641588
y[1] (numeric) = 1.0732673140434582424881697641588
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.215
y[1] (analytic) = 1.0782825818660912249297032677297
y[1] (numeric) = 1.0782825818660912249297032677296
absolute error = 1e-31
relative error = 9.2740068032016776943637350819367e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.216
y[1] (analytic) = 1.0832978496887242073712367713005
y[1] (numeric) = 1.0832978496887242073712367713004
absolute error = 1e-31
relative error = 9.2310715865201884457787177898910e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.217
y[1] (analytic) = 1.0883131175113571898127702748713
y[1] (numeric) = 1.0883131175113571898127702748712
absolute error = 1e-31
relative error = 9.1885320861214778999456361410900e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.218
y[1] (analytic) = 1.0933283853339901722543037784422
y[1] (numeric) = 1.093328385333990172254303778442
absolute error = 2e-31
relative error = 1.8292765712737254167781679290059e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.219
y[1] (analytic) = 1.098343653156623154695837282013
y[1] (numeric) = 1.0983436531566231546958372820128
absolute error = 2e-31
relative error = 1.8209237102176810084823772078689e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 1.1033589209792561371373707855838
y[1] (numeric) = 1.1033589209792561371373707855836
absolute error = 2e-31
relative error = 1.8126467842621460948074573114696e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.221
y[1] (analytic) = 1.1083741888018891195789042891547
y[1] (numeric) = 1.1083741888018891195789042891544
absolute error = 3e-31
relative error = 2.7066671439208516347803661211988e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.222
y[1] (analytic) = 1.1133894566245221020204377927255
y[1] (numeric) = 1.1133894566245221020204377927252
absolute error = 3e-31
relative error = 2.6944749495788658166056797873196e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.223
y[1] (analytic) = 1.1184047244471550844619712962963
y[1] (numeric) = 1.118404724447155084461971296296
absolute error = 3e-31
relative error = 2.6823921022713372703428740483631e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.224
y[1] (analytic) = 1.1234199922697880669035047998672
y[1] (numeric) = 1.1234199922697880669035047998668
absolute error = 4e-31
relative error = 3.5605561833720726862289340046722e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.225
y[1] (analytic) = 1.128435260092421049345038303438
y[1] (numeric) = 1.1284352600924210493450383034376
absolute error = 4e-31
relative error = 3.5447314892237523631790276313182e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.226
y[1] (analytic) = 1.1334505279150540317865718070088
y[1] (numeric) = 1.1334505279150540317865718070084
absolute error = 4e-31
relative error = 3.5290468366165676182092089249851e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.227
y[1] (analytic) = 1.1384657957376870142281053105797
y[1] (numeric) = 1.1384657957376870142281053105792
absolute error = 5e-31
relative error = 4.3918754684765654279475837943093e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.228
y[1] (analytic) = 1.1434810635603199966696388141505
y[1] (numeric) = 1.14348106356031999666963881415
absolute error = 5e-31
relative error = 4.3726128567727208427372873741590e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.229
y[1] (analytic) = 1.1484963313829529791111723177214
y[1] (numeric) = 1.1484963313829529791111723177208
absolute error = 6e-31
relative error = 5.2242221729826044653839381029250e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 1.1535115992055859615527058212922
y[1] (numeric) = 1.1535115992055859615527058212916
absolute error = 6e-31
relative error = 5.2015081635348540111866166329125e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.231
y[1] (analytic) = 1.158526867028218943994239324863
y[1] (numeric) = 1.1585268670282189439942393248624
absolute error = 6e-31
relative error = 5.1789908121775602708784494613416e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.232
y[1] (analytic) = 1.1635421348508519264357728284339
y[1] (numeric) = 1.1635421348508519264357728284332
absolute error = 7e-31
relative error = 6.0161121719045366077661298699633e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.233
y[1] (analytic) = 1.1685574026734849088773063320047
y[1] (numeric) = 1.168557402673484908877306332004
absolute error = 7e-31
relative error = 5.9902919479907832317671336044272e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.234
y[1] (analytic) = 1.1735726704961178913188398355755
y[1] (numeric) = 1.1735726704961178913188398355748
absolute error = 7e-31
relative error = 5.9646924097515063803493253411605e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.235
y[1] (analytic) = 1.1785879383187508737603733391464
y[1] (numeric) = 1.1785879383187508737603733391456
absolute error = 8e-31
relative error = 6.7877837027688875039598401450772e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.236
y[1] (analytic) = 1.1836032061413838562019068427172
y[1] (numeric) = 1.1836032061413838562019068427164
absolute error = 8e-31
relative error = 6.7590219074181718789430611614118e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.237
y[1] (analytic) = 1.188618473964016838643440346288
y[1] (numeric) = 1.1886184739640168386434403462872
absolute error = 8e-31
relative error = 6.7305028276400361326184068949081e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.238
y[1] (analytic) = 1.1936337417866498210849738498589
y[1] (numeric) = 1.193633741786649821084973849858
absolute error = 9e-31
relative error = 7.5400013294938009826024484804823e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.239
y[1] (analytic) = 1.1986490096092828035265073534297
y[1] (numeric) = 1.1986490096092828035265073534288
absolute error = 9e-31
relative error = 7.5084532067762536981564131311918e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 1.2036642774319157859680408570005
y[1] (numeric) = 1.2036642774319157859680408569996
absolute error = 9e-31
relative error = 7.4771679850813526410807614098121e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.241
y[1] (analytic) = 1.2086795452545487684095743605714
y[1] (numeric) = 1.2086795452545487684095743605704
absolute error = 1.0e-30
relative error = 8.2734915464247332128141205087819e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.242
y[1] (analytic) = 1.2136948130771817508511078641422
y[1] (numeric) = 1.2136948130771817508511078641412
absolute error = 1.0e-30
relative error = 8.2393035648279367945793514157707e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.243
y[1] (analytic) = 1.2187100808998147332926413677131
y[1] (numeric) = 1.218710080899814733292641367712
absolute error = 1.1e-30
relative error = 9.0259366623752953692058573945598e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.244
y[1] (analytic) = 1.2237253487224477157341748712839
y[1] (numeric) = 1.2237253487224477157341748712828
absolute error = 1.1e-30
relative error = 8.9889451186770359619550137167135e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.245
y[1] (analytic) = 1.2287406165450806981757083748547
y[1] (numeric) = 1.2287406165450806981757083748536
absolute error = 1.1e-30
relative error = 8.9522555467640684682327483546047e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=11.4MB, alloc=3.9MB, time=0.67
x[1] = 0.246
y[1] (analytic) = 1.2337558843677136806172418784256
y[1] (numeric) = 1.2337558843677136806172418784244
absolute error = 1.2e-30
relative error = 9.7263973789676131916497709395922e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.247
y[1] (analytic) = 1.2387711521903466630587753819964
y[1] (numeric) = 1.2387711521903466630587753819952
absolute error = 1.2e-30
relative error = 9.6870192519272584823718366442905e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.248
y[1] (analytic) = 1.2437864200129796455003088855672
y[1] (numeric) = 1.243786420012979645500308885566
absolute error = 1.2e-30
relative error = 9.6479586904275517949429179481445e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.249
y[1] (analytic) = 1.2488016878356126279418423891381
y[1] (numeric) = 1.2488016878356126279418423891368
absolute error = 1.3e-30
relative error = 1.0409979524075778777408288977515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 1.2538169556582456103833758927089
y[1] (numeric) = 1.2538169556582456103833758927076
absolute error = 1.3e-30
relative error = 1.0368339605979475662298655821606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.251
y[1] (analytic) = 1.2588322234808785928249093962797
y[1] (numeric) = 1.2588322234808785928249093962784
absolute error = 1.3e-30
relative error = 1.0327031480059238707468780698811e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.252
y[1] (analytic) = 1.2638474913035115752664428998506
y[1] (numeric) = 1.2638474913035115752664428998492
absolute error = 1.4e-30
relative error = 1.1077285903824226134934461347869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.253
y[1] (analytic) = 1.2688627591261445577079764034214
y[1] (numeric) = 1.26886275912614455770797640342
absolute error = 1.4e-30
relative error = 1.1033502165073932751001914069815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.254
y[1] (analytic) = 1.2738780269487775401495099069922
y[1] (numeric) = 1.2738780269487775401495099069908
absolute error = 1.4e-30
relative error = 1.0990063180172066874029465589225e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.255
y[1] (analytic) = 1.2788932947714105225910434105631
y[1] (numeric) = 1.2788932947714105225910434105616
absolute error = 1.5e-30
relative error = 1.1728890956990357084048253191861e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.256
y[1] (analytic) = 1.2839085625940435050325769141339
y[1] (numeric) = 1.2839085625940435050325769141324
absolute error = 1.5e-30
relative error = 1.1683074976689613501688689702831e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.257
y[1] (analytic) = 1.2889238304166764874741104177047
y[1] (numeric) = 1.2889238304166764874741104177032
absolute error = 1.5e-30
relative error = 1.1637615540982650025028422427723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.258
y[1] (analytic) = 1.2939390982393094699156439212756
y[1] (numeric) = 1.293939098239309469915643921274
absolute error = 1.6e-30
relative error = 1.2365342404268903592484980109249e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.259
y[1] (analytic) = 1.2989543660619424523571774248464
y[1] (numeric) = 1.2989543660619424523571774248448
absolute error = 1.6e-30
relative error = 1.2317599769503386590197393313461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 1.3039696338845754347987109284173
y[1] (numeric) = 1.3039696338845754347987109284156
absolute error = 1.7e-30
relative error = 1.3037113409885435374192096817107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.261
y[1] (analytic) = 1.3089849017072084172402444319881
y[1] (numeric) = 1.3089849017072084172402444319864
absolute error = 1.7e-30
relative error = 1.2987162783793920296130058131985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.262
y[1] (analytic) = 1.3140001695298413996817779355589
y[1] (numeric) = 1.3140001695298413996817779355572
absolute error = 1.7e-30
relative error = 1.2937593460191653424770783100947e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.263
y[1] (analytic) = 1.3190154373524743821233114391298
y[1] (numeric) = 1.319015437352474382123311439128
absolute error = 1.8e-30
relative error = 1.3646542330186499116801389645283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.264
y[1] (analytic) = 1.3240307051751073645648449427006
y[1] (numeric) = 1.3240307051751073645648449426988
absolute error = 1.8e-30
relative error = 1.3594850881966095711055929836021e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.265
y[1] (analytic) = 1.3290459729977403470063784462714
y[1] (numeric) = 1.3290459729977403470063784462696
absolute error = 1.8e-30
relative error = 1.3543549557883204783844398025320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.266
y[1] (analytic) = 1.3340612408203733294479119498423
y[1] (numeric) = 1.3340612408203733294479119498404
absolute error = 1.9e-30
relative error = 1.4242224733488290744915736018689e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.267
y[1] (analytic) = 1.3390765086430063118894454534131
y[1] (numeric) = 1.3390765086430063118894454534112
absolute error = 1.9e-30
relative error = 1.4188883067819795273960995434349e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.268
y[1] (analytic) = 1.3440917764656392943309789569839
y[1] (numeric) = 1.344091776465639294330978956982
absolute error = 1.9e-30
relative error = 1.4135939474283154246819349928998e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.269
y[1] (analytic) = 1.3491070442882722767725124605548
y[1] (numeric) = 1.3491070442882722767725124605528
absolute error = 2.0e-30
relative error = 1.4824620540433908582068424108672e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 1.3541223121109052592140459641256
y[1] (numeric) = 1.3541223121109052592140459641236
absolute error = 2.0e-30
relative error = 1.4769714538432301513245948463826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.271
y[1] (analytic) = 1.3591375799335382416555794676964
y[1] (numeric) = 1.3591375799335382416555794676944
absolute error = 2.0e-30
relative error = 1.4715213746777569773344671901229e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.272
y[1] (analytic) = 1.3641528477561712240971129712673
y[1] (numeric) = 1.3641528477561712240971129712652
absolute error = 2.1e-30
relative error = 1.5394169381049843672813332314318e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.273
y[1] (analytic) = 1.3691681155788042065386464748381
y[1] (numeric) = 1.369168115578804206538646474836
absolute error = 2.1e-30
relative error = 1.5337780482218159263755408020127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.274
y[1] (analytic) = 1.374183383401437188980179978409
y[1] (numeric) = 1.3741833834014371889801799784068
absolute error = 2.2e-30
relative error = 1.6009508094578078647569513480862e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.275
y[1] (analytic) = 1.3791986512240701714217134819798
y[1] (numeric) = 1.3791986512240701714217134819776
absolute error = 2.2e-30
relative error = 1.5951291701506885634305624340932e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.276
y[1] (analytic) = 1.3842139190467031538632469855506
y[1] (numeric) = 1.3842139190467031538632469855484
absolute error = 2.2e-30
relative error = 1.5893497166356498367514661933900e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.277
y[1] (analytic) = 1.3892291868693361363047804891215
y[1] (numeric) = 1.3892291868693361363047804891192
absolute error = 2.3e-30
relative error = 1.6555943553008049169180025263602e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.278
y[1] (analytic) = 1.3942444546919691187463139926923
y[1] (numeric) = 1.39424445469196911874631399269
absolute error = 2.3e-30
relative error = 1.6496389799220250431161392079201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.279
y[1] (analytic) = 1.3992597225146021011878474962631
y[1] (numeric) = 1.3992597225146021011878474962608
absolute error = 2.3e-30
relative error = 1.6437262954061754909902749096839e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 1.404274990337235083629380999834
y[1] (numeric) = 1.4042749903372350836293809998316
absolute error = 2.4e-30
relative error = 1.7090669680185948893898883222427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.281
y[1] (analytic) = 1.4092902581598680660709145034048
y[1] (numeric) = 1.4092902581598680660709145034024
absolute error = 2.4e-30
relative error = 1.7029848791644361887159029545479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.282
y[1] (analytic) = 1.4143055259825010485124480069756
y[1] (numeric) = 1.4143055259825010485124480069732
absolute error = 2.4e-30
relative error = 1.6969459256922218759899600362694e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.283
y[1] (analytic) = 1.4193207938051340309539815105465
y[1] (numeric) = 1.419320793805134030953981510544
absolute error = 2.5e-30
relative error = 1.7614058857671030956609567514279e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.284
y[1] (analytic) = 1.4243360616277670133955150141173
y[1] (numeric) = 1.4243360616277670133955150141148
absolute error = 2.5e-30
relative error = 1.7552037523665147044790519741342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.285
y[1] (analytic) = 1.4293513294503999958370485176881
y[1] (numeric) = 1.4293513294503999958370485176856
absolute error = 2.5e-30
relative error = 1.7490451427090883370949149496636e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.286
y[1] (analytic) = 1.434366597273032978278582021259
y[1] (numeric) = 1.4343665972730329782785820212564
absolute error = 2.6e-30
relative error = 1.8126467842621460948074573114695e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.287
y[1] (analytic) = 1.4393818650956659607201155248298
y[1] (numeric) = 1.4393818650956659607201155248272
absolute error = 2.6e-30
relative error = 1.8063309418082710213063860316386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.288
y[1] (analytic) = 1.4443971329182989431616490284007
y[1] (numeric) = 1.444397132918298943161649028398
absolute error = 2.7e-30
relative error = 1.8692919962703381602701903524529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.289
y[1] (analytic) = 1.4494124007409319256031825319715
y[1] (numeric) = 1.4494124007409319256031825319688
absolute error = 2.7e-30
relative error = 1.8628238578749390662900166834133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 1.4544276685635649080447160355423
y[1] (numeric) = 1.4544276685635649080447160355396
absolute error = 2.7e-30
relative error = 1.8564003273305427246821200741602e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.291
y[1] (analytic) = 1.4594429363861978904862495391132
y[1] (numeric) = 1.4594429363861978904862495391104
absolute error = 2.8e-30
relative error = 1.9185402390128556604834943365381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.292
y[1] (analytic) = 1.464458204208830872927783042684
y[1] (numeric) = 1.4644582042088308729277830426812
absolute error = 2.8e-30
relative error = 1.9119698957285650589064960682624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.293
y[1] (analytic) = 1.4694734720314638553693165462548
y[1] (numeric) = 1.469473472031463855369316546252
absolute error = 2.8e-30
relative error = 1.9054444012038941883982827711011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.294
y[1] (analytic) = 1.4744887398540968378108500498257
y[1] (numeric) = 1.4744887398540968378108500498228
absolute error = 2.9e-30
relative error = 1.9667834155769544362026492597237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.295
y[1] (analytic) = 1.4795040076767298202523835533965
y[1] (numeric) = 1.4795040076767298202523835533936
absolute error = 2.9e-30
relative error = 1.9601163531512698448934877368094e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.296
y[1] (analytic) = 1.4845192754993628026939170569673
y[1] (numeric) = 1.4845192754993628026939170569644
absolute error = 2.9e-30
relative error = 1.9534943384446777170391178458067e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.297
y[1] (analytic) = 1.4895345433219957851354505605382
y[1] (numeric) = 1.4895345433219957851354505605352
absolute error = 3.0e-30
relative error = 2.0140519825134956608971747905217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.298
y[1] (analytic) = 1.494549811144628767576984064109
y[1] (numeric) = 1.494549811144628767576984064106
absolute error = 3.0e-30
relative error = 2.0072934188137859439142983650502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.299
y[1] (analytic) = 1.4995650789672617500185175676798
y[1] (numeric) = 1.4995650789672617500185175676768
absolute error = 3.0e-30
relative error = 2.0005800628980207735333140895818e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 1.5045803467898947324600510712507
y[1] (numeric) = 1.5045803467898947324600510712476
absolute error = 3.1e-30
relative error = 2.0603751781113060610978098107037e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.301
y[1] (analytic) = 1.5095956146125277149015845748215
y[1] (numeric) = 1.5095956146125277149015845748184
absolute error = 3.1e-30
relative error = 2.0535300778518000608948270538575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.302
y[1] (analytic) = 1.5146108824351606973431180783924
y[1] (numeric) = 1.5146108824351606973431180783892
absolute error = 3.2e-30
relative error = 2.1127538677492563754047184557525e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.303
y[1] (analytic) = 1.5196261502577936797846515819632
y[1] (numeric) = 1.51962615025779367978465158196
absolute error = 3.2e-30
relative error = 2.1057810827071796216905114641494e-28 %
Correct digits = 29
memory used=15.2MB, alloc=3.9MB, time=0.91
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.304
y[1] (analytic) = 1.524641418080426662226185085534
y[1] (numeric) = 1.5246414180804266622261850855308
absolute error = 3.2e-30
relative error = 2.0988541712509060045138979395963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.305
y[1] (analytic) = 1.5296566859030596446677185891049
y[1] (numeric) = 1.5296566859030596446677185891016
absolute error = 3.3e-30
relative error = 2.1573468284824886308692032920112e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.306
y[1] (analytic) = 1.5346719537256926271092520926757
y[1] (numeric) = 1.5346719537256926271092520926724
absolute error = 3.3e-30
relative error = 2.1502966754482321320755130851746e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.307
y[1] (analytic) = 1.5396872215483256095507855962465
y[1] (numeric) = 1.5396872215483256095507855962432
absolute error = 3.3e-30
relative error = 2.1432924517497036886485570164933e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.308
y[1] (analytic) = 1.5447024893709585919923190998174
y[1] (numeric) = 1.544702489370958591992319099814
absolute error = 3.4e-30
relative error = 2.2010710951754631151233410210701e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.309
y[1] (analytic) = 1.5497177571935915744338526033882
y[1] (numeric) = 1.5497177571935915744338526033848
absolute error = 3.4e-30
relative error = 2.1939478877477108073074078786071e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 1.554733025016224556875386106959
y[1] (numeric) = 1.5547330250162245568753861069556
absolute error = 3.4e-30
relative error = 2.1868706364969117401870614015794e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.311
y[1] (analytic) = 1.5597482928388575393169196105299
y[1] (numeric) = 1.5597482928388575393169196105264
absolute error = 3.5e-30
relative error = 2.2439518068840072234754696621085e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.312
y[1] (analytic) = 1.5647635606614905217584531141007
y[1] (numeric) = 1.5647635606614905217584531140972
absolute error = 3.5e-30
relative error = 2.2367596536568148926309970029352e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.313
y[1] (analytic) = 1.5697788284841235041999866176715
y[1] (numeric) = 1.569778828484123504199986617668
absolute error = 3.5e-30
relative error = 2.2296134566802755479261056387086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.314
y[1] (analytic) = 1.5747940963067564866415201212424
y[1] (numeric) = 1.5747940963067564866415201212388
absolute error = 3.6e-30
relative error = 2.2860131419357001705215066730634e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.315
y[1] (analytic) = 1.5798093641293894690830536248132
y[1] (numeric) = 1.5798093641293894690830536248096
absolute error = 3.6e-30
relative error = 2.2787559573581265191865177629903e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.316
y[1] (analytic) = 1.584824631952022451524587128384
y[1] (numeric) = 1.5848246319520224515245871283804
absolute error = 3.6e-30
relative error = 2.2715447043285121947587123270315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.317
y[1] (analytic) = 1.5898398997746554339661206319549
y[1] (numeric) = 1.5898398997746554339661206319512
absolute error = 3.7e-30
relative error = 2.3272783633902001911250319424861e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.318
y[1] (analytic) = 1.5948551675972884164076541355257
y[1] (numeric) = 1.594855167597288416407654135522
absolute error = 3.7e-30
relative error = 2.3199598779707341527881607728557e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.319
y[1] (analytic) = 1.5998704354199213988491876390966
y[1] (numeric) = 1.5998704354199213988491876390928
absolute error = 3.8e-30
relative error = 2.3751923379986741931959785460634e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 1.6048857032425543812907211426674
y[1] (numeric) = 1.6048857032425543812907211426636
absolute error = 3.8e-30
relative error = 2.3677698619424283363422411131071e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.321
y[1] (analytic) = 1.6099009710651873637322546462382
y[1] (numeric) = 1.6099009710651873637322546462344
absolute error = 3.8e-30
relative error = 2.3603936318429192137991188666488e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.322
y[1] (analytic) = 1.6149162388878203461737881498091
y[1] (numeric) = 1.6149162388878203461737881498052
absolute error = 3.9e-30
relative error = 2.4149859330697536480509291509951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.323
y[1] (analytic) = 1.6199315067104533286153216533799
y[1] (numeric) = 1.619931506710453328615321653376
absolute error = 3.9e-30
relative error = 2.4075091964348627698835888130663e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.324
y[1] (analytic) = 1.6249467745330863110568551569507
y[1] (numeric) = 1.6249467745330863110568551569468
absolute error = 3.9e-30
relative error = 2.4000786124952489959024666253717e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.325
y[1] (analytic) = 1.6299620423557192934983886605216
y[1] (numeric) = 1.6299620423557192934983886605176
absolute error = 4.0e-30
relative error = 2.4540448771549054822008652832202e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.326
y[1] (analytic) = 1.6349773101783522759399221640924
y[1] (numeric) = 1.6349773101783522759399221640884
absolute error = 4.0e-30
relative error = 2.4465171321329579193720282731491e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.327
y[1] (analytic) = 1.6399925780009852583814556676632
y[1] (numeric) = 1.6399925780009852583814556676592
absolute error = 4.0e-30
relative error = 2.4390354283649672223708905720080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.328
y[1] (analytic) = 1.6450078458236182408229891712341
y[1] (numeric) = 1.64500784582361824082298917123
absolute error = 4.1e-30
relative error = 2.4923893283604508803602538032706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.329
y[1] (analytic) = 1.6500231136462512232645226748049
y[1] (numeric) = 1.6500231136462512232645226748008
absolute error = 4.1e-30
relative error = 2.4848136769064677469852986245373e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 1.6550383814688842057060561783757
y[1] (numeric) = 1.6550383814688842057060561783716
absolute error = 4.1e-30
relative error = 2.4772839384915996629035249923418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.331
y[1] (analytic) = 1.6600536492915171881475896819466
y[1] (numeric) = 1.6600536492915171881475896819424
absolute error = 4.2e-30
relative error = 2.5300387139852311051391096009031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.332
y[1] (analytic) = 1.6650689171141501705891231855174
y[1] (numeric) = 1.6650689171141501705891231855132
absolute error = 4.2e-30
relative error = 2.5224181154491310114489315599365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.333
y[1] (analytic) = 1.6700841849367831530306566890883
y[1] (numeric) = 1.670084184936783153030656689084
absolute error = 4.3e-30
relative error = 2.5747205073753606692009829078831e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.334
y[1] (analytic) = 1.6750994527594161354721901926591
y[1] (numeric) = 1.6750994527594161354721901926548
absolute error = 4.3e-30
relative error = 2.5670117633413027031255308632487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.335
y[1] (analytic) = 1.6801147205820491179137236962299
y[1] (numeric) = 1.6801147205820491179137236962256
absolute error = 4.3e-30
relative error = 2.5593490416596868741609770397764e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.336
y[1] (analytic) = 1.6851299884046821003552571998008
y[1] (numeric) = 1.6851299884046821003552571997964
absolute error = 4.4e-30
relative error = 2.6110745344728533032345516034263e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.337
y[1] (analytic) = 1.6901452562273150827967907033716
y[1] (numeric) = 1.6901452562273150827967907033672
absolute error = 4.4e-30
relative error = 2.6033265388215985456581879488168e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.338
y[1] (analytic) = 1.6951605240499480652383242069424
y[1] (numeric) = 1.695160524049948065238324206938
absolute error = 4.4e-30
relative error = 2.5956243892984577215586075110984e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.339
y[1] (analytic) = 1.7001757918725810476798577105133
y[1] (numeric) = 1.7001757918725810476798577105088
absolute error = 4.5e-30
relative error = 2.6467851274624257136569066937386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 1.7051910596952140301213912140841
y[1] (numeric) = 1.7051910596952140301213912140796
absolute error = 4.5e-30
relative error = 2.6390004653228303439108569681689e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.341
y[1] (analytic) = 1.7102063275178470125629247176549
y[1] (numeric) = 1.7102063275178470125629247176504
absolute error = 4.5e-30
relative error = 2.6312614610256959440753412585849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.342
y[1] (analytic) = 1.7152215953404799950044582212258
y[1] (numeric) = 1.7152215953404799950044582212212
absolute error = 4.6e-30
relative error = 2.6818692188206021168788695894841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.343
y[1] (analytic) = 1.7202368631631129774459917247966
y[1] (numeric) = 1.720236863163112977445991724792
absolute error = 4.6e-30
relative error = 2.6740503581243321398617300279988e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.344
y[1] (analytic) = 1.7252521309857459598875252283674
y[1] (numeric) = 1.7252521309857459598875252283628
absolute error = 4.6e-30
relative error = 2.6662769559204823371295738360570e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.345
y[1] (analytic) = 1.7302673988083789423290587319383
y[1] (numeric) = 1.7302673988083789423290587319336
absolute error = 4.7e-30
relative error = 2.7163431520682015391752331305210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.346
y[1] (analytic) = 1.7352826666310119247705922355091
y[1] (numeric) = 1.7352826666310119247705922355044
absolute error = 4.7e-30
relative error = 2.7084924493165593381949578902594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.347
y[1] (analytic) = 1.74029793445364490721212573908
y[1] (numeric) = 1.7402979344536449072121257390752
absolute error = 4.8e-30
relative error = 2.7581484210098361327329609811409e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.348
y[1] (analytic) = 1.7453132022762778896536592426508
y[1] (numeric) = 1.745313202276277889653659242646
absolute error = 4.8e-30
relative error = 2.7502227071563595921216593691262e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.349
y[1] (analytic) = 1.7503284700989108720951927462216
y[1] (numeric) = 1.7503284700989108720951927462168
absolute error = 4.8e-30
relative error = 2.7423424128665132895654368494439e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 1.7553437379215438545367262497925
y[1] (numeric) = 1.7553437379215438545367262497876
absolute error = 4.9e-30
relative error = 2.7914760477637049860034842596630e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.351
y[1] (analytic) = 1.7603590057441768369782597533633
y[1] (numeric) = 1.7603590057441768369782597533584
absolute error = 4.9e-30
relative error = 2.7835231245507029774963518258748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.352
y[1] (analytic) = 1.7653742735668098194197932569341
y[1] (numeric) = 1.7653742735668098194197932569292
absolute error = 4.9e-30
relative error = 2.7756153884014112076739190081878e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.353
y[1] (analytic) = 1.770389541389442801861326760505
y[1] (numeric) = 1.7703895413894428018613267605
absolute error = 5.0e-30
relative error = 2.8242371992752984480002875957740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.354
y[1] (analytic) = 1.7754048092120757843028602640758
y[1] (numeric) = 1.7754048092120757843028602640708
absolute error = 5.0e-30
relative error = 2.8162591280909049495596088172549e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.355
y[1] (analytic) = 1.7804200770347087667443937676466
y[1] (numeric) = 1.7804200770347087667443937676416
absolute error = 5.0e-30
relative error = 2.8083260037864235271664831586148e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.356
y[1] (analytic) = 1.7854353448573417491859272712175
y[1] (numeric) = 1.7854353448573417491859272712124
absolute error = 5.1e-30
relative error = 2.8564461965479324696263582913887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.357
y[1] (analytic) = 1.7904506126799747316274607747883
y[1] (numeric) = 1.7904506126799747316274607747832
absolute error = 5.1e-30
relative error = 2.8484449466976581489831472037378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.358
y[1] (analytic) = 1.7954658805026077140689942783591
y[1] (numeric) = 1.795465880502607714068994278354
absolute error = 5.1e-30
relative error = 2.8404883965672177630921328260738e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.359
y[1] (analytic) = 1.80048114832524069651052778193
y[1] (numeric) = 1.8004811483252406965105277819248
absolute error = 5.2e-30
relative error = 2.8881168818884333321166172205029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 1.8054964161478736789520612855008
y[1] (numeric) = 1.8054964161478736789520612854956
absolute error = 5.2e-30
relative error = 2.8800943349942987950829599504460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=19.0MB, alloc=3.9MB, time=1.15
x[1] = 0.361
y[1] (analytic) = 1.8105116839705066613935947890717
y[1] (numeric) = 1.8105116839705066613935947890664
absolute error = 5.3e-30
relative error = 2.9273492388499478484009629157526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.362
y[1] (analytic) = 1.8155269517931396438351282926425
y[1] (numeric) = 1.8155269517931396438351282926372
absolute error = 5.3e-30
relative error = 2.9192626387426275504772033496871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.363
y[1] (analytic) = 1.8205422196157726262766617962133
y[1] (numeric) = 1.820542219615772626276661796208
absolute error = 5.3e-30
relative error = 2.9112205929058710007513708335723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.364
y[1] (analytic) = 1.8255574874384056087181952997842
y[1] (numeric) = 1.8255574874384056087181952997788
absolute error = 5.4e-30
relative error = 2.9580005215706450008671144038815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.365
y[1] (analytic) = 1.830572755261038591159728803355
y[1] (numeric) = 1.8305727552610385911597288033496
absolute error = 5.4e-30
relative error = 2.9498964105526432337414510767477e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.366
y[1] (analytic) = 1.8355880230836715736012623069258
y[1] (numeric) = 1.8355880230836715736012623069204
absolute error = 5.4e-30
relative error = 2.9418365842943026784580044891063e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.367
y[1] (analytic) = 1.8406032909063045560427958104967
y[1] (numeric) = 1.8406032909063045560427958104912
absolute error = 5.5e-30
relative error = 2.9881506934021754423937647777631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.368
y[1] (analytic) = 1.8456185587289375384843293140675
y[1] (numeric) = 1.845618558728937538484329314062
absolute error = 5.5e-30
relative error = 2.9800307186918434439089991126061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.369
y[1] (analytic) = 1.8506338265515705209258628176383
y[1] (numeric) = 1.8506338265515705209258628176328
absolute error = 5.5e-30
relative error = 2.9719547546845484752263188982089e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 1.8556490943742035033673963212092
y[1] (numeric) = 1.8556490943742035033673963212036
absolute error = 5.6e-30
relative error = 3.0178119435283297145983613617979e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.371
y[1] (analytic) = 1.86066436219683648580892982478
y[1] (numeric) = 1.8606643621968364858089298247744
absolute error = 5.6e-30
relative error = 3.0096776795296010630765328945154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.372
y[1] (analytic) = 1.8656796300194694682504633283508
y[1] (numeric) = 1.8656796300194694682504633283452
absolute error = 5.6e-30
relative error = 3.0015871481330161139822411394227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.373
y[1] (analytic) = 1.8706948978421024506919968319217
y[1] (numeric) = 1.870694897842102450691996831916
absolute error = 5.7e-30
relative error = 3.0469960689875753389926963385828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.374
y[1] (analytic) = 1.8757101656647354331335303354925
y[1] (numeric) = 1.8757101656647354331335303354868
absolute error = 5.7e-30
relative error = 3.0388490206747743354125019633460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.375
y[1] (analytic) = 1.8807254334873684155750638390634
y[1] (numeric) = 1.8807254334873684155750638390576
absolute error = 5.8e-30
relative error = 3.0839163956246645559657540392467e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.376
y[1] (analytic) = 1.8857407013100013980165973426342
y[1] (numeric) = 1.8857407013100013980165973426284
absolute error = 5.8e-30
relative error = 3.0757144903171521502318025657382e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.377
y[1] (analytic) = 1.890755969132634380458130846205
y[1] (numeric) = 1.8907559691326343804581308461992
absolute error = 5.8e-30
relative error = 3.0675560964436318527510816040254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.378
y[1] (analytic) = 1.8957712369552673628996643497759
y[1] (numeric) = 1.89577123695526736289966434977
absolute error = 5.9e-30
relative error = 3.1121898491696635331482534263061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.379
y[1] (analytic) = 1.9007865047779003453411978533467
y[1] (numeric) = 1.9007865047779003453411978533408
absolute error = 5.9e-30
relative error = 3.1039782664541762942745113328330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 1.9058017726005333277827313569175
y[1] (numeric) = 1.9058017726005333277827313569116
absolute error = 5.9e-30
relative error = 3.0958099025950863566579994609046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.381
y[1] (analytic) = 1.9108170404231663102242648604884
y[1] (numeric) = 1.9108170404231663102242648604824
absolute error = 6.0e-30
relative error = 3.1400180514777333925798473112070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.382
y[1] (analytic) = 1.9158323082457992926657983640592
y[1] (numeric) = 1.9158323082457992926657983640532
absolute error = 6.0e-30
relative error = 3.1317981089345979648505806952091e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.383
y[1] (analytic) = 1.92084757606843227510733186763
y[1] (numeric) = 1.920847576068432275107331867624
absolute error = 6.0e-30
relative error = 3.1236210903734110249945739571016e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.384
y[1] (analytic) = 1.9258628438910652575488653712009
y[1] (numeric) = 1.9258628438910652575488653711948
absolute error = 6.1e-30
relative error = 3.1674114381247396604578225416563e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.385
y[1] (analytic) = 1.9308781117136982399903988747717
y[1] (numeric) = 1.9308781117136982399903988747656
absolute error = 6.1e-30
relative error = 3.1591843954283117652358541714183e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.386
y[1] (analytic) = 1.9358933795363312224319323783425
y[1] (numeric) = 1.9358933795363312224319323783364
absolute error = 6.1e-30
relative error = 3.1509999798961140663621861554302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.387
y[1] (analytic) = 1.9409086473589642048734658819134
y[1] (numeric) = 1.9409086473589642048734658819072
absolute error = 6.2e-30
relative error = 3.1943801211028000947252865282227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.388
y[1] (analytic) = 1.9459239151815971873149993854842
y[1] (numeric) = 1.945923915181597187314999385478
absolute error = 6.2e-30
relative error = 3.1861471826463495790172316660367e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.389
y[1] (analytic) = 1.950939183004230169756532889055
y[1] (numeric) = 1.9509391830042301697565328890488
absolute error = 6.2e-30
relative error = 3.1779565729223229734156449522423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 1.9559544508268631521980663926259
y[1] (numeric) = 1.9559544508268631521980663926196
absolute error = 6.3e-30
relative error = 3.2209339012658134453886356842266e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.391
y[1] (analytic) = 1.9609697186494961346395998961967
y[1] (numeric) = 1.9609697186494961346395998961904
absolute error = 6.3e-30
relative error = 3.2126962186538804186740867438578e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.392
y[1] (analytic) = 1.9659849864721291170811333997676
y[1] (numeric) = 1.9659849864721291170811333997612
absolute error = 6.4e-30
relative error = 3.2553656533687521702664539471289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.393
y[1] (analytic) = 1.9710002542947620995226669033384
y[1] (numeric) = 1.971000254294762099522666903332
absolute error = 6.4e-30
relative error = 3.2470822802049639968052161508258e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.394
y[1] (analytic) = 1.9760155221173950819642004069092
y[1] (numeric) = 1.9760155221173950819642004069028
absolute error = 6.4e-30
relative error = 3.2388409546206874384376902215090e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.395
y[1] (analytic) = 1.9810307899400280644057339104801
y[1] (numeric) = 1.9810307899400280644057339104736
absolute error = 6.5e-30
relative error = 3.2811201284745176146514733612676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.396
y[1] (analytic) = 1.9860460577626610468472674140509
y[1] (numeric) = 1.9860460577626610468472674140444
absolute error = 6.5e-30
relative error = 3.2728344715844304489579090345977e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.397
y[1] (analytic) = 1.9910613255852940292888009176217
y[1] (numeric) = 1.9910613255852940292888009176152
absolute error = 6.5e-30
relative error = 3.2645905560388777274240100193973e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.398
y[1] (analytic) = 1.9960765934079270117303344211926
y[1] (numeric) = 1.996076593407927011730334421186
absolute error = 6.6e-30
relative error = 3.3064863451616031779653618294645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.399
y[1] (analytic) = 2.0010918612305599941718679247634
y[1] (numeric) = 2.0010918612305599941718679247568
absolute error = 6.6e-30
relative error = 3.2981994119657094356646967622227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 2.0061071290531929766134014283342
y[1] (numeric) = 2.0061071290531929766134014283276
absolute error = 6.6e-30
relative error = 3.2899539134357951620755350203172e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.401
y[1] (analytic) = 2.0111223968758259590549349319051
y[1] (numeric) = 2.0111223968758259590549349318984
absolute error = 6.7e-30
relative error = 3.3314730174593557902072220412794e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.402
y[1] (analytic) = 2.0161376646984589414964684354759
y[1] (numeric) = 2.0161376646984589414964684354692
absolute error = 6.7e-30
relative error = 3.3231857711472678404803384043608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.403
y[1] (analytic) = 2.0211529325210919239380019390467
y[1] (numeric) = 2.02115293252109192393800193904
absolute error = 6.7e-30
relative error = 3.3149396526084408731342333462855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.404
y[1] (analytic) = 2.0261682003437249063795354426176
y[1] (numeric) = 2.0261682003437249063795354426108
absolute error = 6.8e-30
relative error = 3.3560886005645675220692526459881e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.405
y[1] (analytic) = 2.0311834681663578888210689461884
y[1] (numeric) = 2.0311834681663578888210689461816
absolute error = 6.8e-30
relative error = 3.3478019620446550096690816518005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.406
y[1] (analytic) = 2.0361987359889908712626024497593
y[1] (numeric) = 2.0361987359889908712626024497524
absolute error = 6.9e-30
relative error = 3.3886672641748002117213302941018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.407
y[1] (analytic) = 2.0412140038116238537041359533301
y[1] (numeric) = 2.0412140038116238537041359533232
absolute error = 6.9e-30
relative error = 3.3803413003807589335598528240918e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.408
y[1] (analytic) = 2.0462292716342568361456694569009
y[1] (numeric) = 2.046229271634256836145669456894
absolute error = 6.9e-30
relative error = 3.3720561501347276616638727926603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.409
y[1] (analytic) = 2.0512445394568898185872029604718
y[1] (numeric) = 2.0512445394568898185872029604648
absolute error = 7.0e-30
relative error = 3.4125624055791014498820100973875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 2.0562598072795228010287364640426
y[1] (numeric) = 2.0562598072795228010287364640356
absolute error = 7.0e-30
relative error = 3.4042390826386646170774198288574e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.411
y[1] (analytic) = 2.0612750751021557834702699676134
y[1] (numeric) = 2.0612750751021557834702699676064
absolute error = 7.0e-30
relative error = 3.3959562624862591070601998292739e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.412
y[1] (analytic) = 2.0662903429247887659118034711843
y[1] (numeric) = 2.0662903429247887659118034711772
absolute error = 7.1e-30
relative error = 3.4361095594872235437976314569361e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.413
y[1] (analytic) = 2.0713056107474217483533369747551
y[1] (numeric) = 2.071305610747421748353336974748
absolute error = 7.1e-30
relative error = 3.4277896816192157386068381604303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.414
y[1] (analytic) = 2.0763208785700547307948704783259
y[1] (numeric) = 2.0763208785700547307948704783188
absolute error = 7.1e-30
relative error = 3.4195099963979132851319424160815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.415
y[1] (analytic) = 2.0813361463926877132364039818968
y[1] (numeric) = 2.0813361463926877132364039818896
absolute error = 7.2e-30
relative error = 3.4593162726159511014156775679129e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.416
y[1] (analytic) = 2.0863514142153206956779374854676
y[1] (numeric) = 2.0863514142153206956779374854604
absolute error = 7.2e-30
relative error = 3.4510006084990858343449668045285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.417
y[1] (analytic) = 2.0913666820379536781194709890384
y[1] (numeric) = 2.0913666820379536781194709890312
absolute error = 7.2e-30
relative error = 3.4427248276633566117206383469638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.418
y[1] (analytic) = 2.0963819498605866605610044926093
y[1] (numeric) = 2.096381949860586660561004492602
absolute error = 7.3e-30
relative error = 3.4821898750299122347616943088756e-28 %
memory used=22.8MB, alloc=3.9MB, time=1.39
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.419
y[1] (analytic) = 2.1013972176832196430025379961801
y[1] (numeric) = 2.1013972176832196430025379961728
absolute error = 7.3e-30
relative error = 3.4738791593377167401679909811695e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 2.106412485505852625444071499751
y[1] (numeric) = 2.1064124855058526254440714997436
absolute error = 7.4e-30
relative error = 3.5130821009271117170792148846099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.421
y[1] (analytic) = 2.1114277533284856078856050033218
y[1] (numeric) = 2.1114277533284856078856050033144
absolute error = 7.4e-30
relative error = 3.5047374878607765348533735190883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.422
y[1] (analytic) = 2.1164430211511185903271385068926
y[1] (numeric) = 2.1164430211511185903271385068852
absolute error = 7.4e-30
relative error = 3.4964324227236656899840527287588e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.423
y[1] (analytic) = 2.1214582889737515727686720104635
y[1] (numeric) = 2.121458288973751572768672010456
absolute error = 7.5e-30
relative error = 3.5353040118587955749790834088944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.424
y[1] (analytic) = 2.1264735567963845552102055140343
y[1] (numeric) = 2.1264735567963845552102055140268
absolute error = 7.5e-30
relative error = 3.5269660306987512457928119857603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.425
y[1] (analytic) = 2.1314888246190175376517390176051
y[1] (numeric) = 2.1314888246190175376517390175976
absolute error = 7.5e-30
relative error = 3.5186672870971071252144759575585e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.426
y[1] (analytic) = 2.136504092441650520093272521176
y[1] (numeric) = 2.1365040924416505200932725211684
absolute error = 7.6e-30
relative error = 3.5572129381294698010775453342453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.427
y[1] (analytic) = 2.1415193602642835025348060247468
y[1] (numeric) = 2.1415193602642835025348060247392
absolute error = 7.6e-30
relative error = 3.5488822286724921200445768440012e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.428
y[1] (analytic) = 2.1465346280869164849763395283176
y[1] (numeric) = 2.14653462808691648497633952831
absolute error = 7.6e-30
relative error = 3.5405904477643788206986782999732e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.429
y[1] (analytic) = 2.1515498959095494674178730318885
y[1] (numeric) = 2.1515498959095494674178730318808
absolute error = 7.7e-30
relative error = 3.5788154458509038282095952046962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 2.1565651637321824498594065354593
y[1] (numeric) = 2.1565651637321824498594065354516
absolute error = 7.7e-30
relative error = 3.5704926192326459123300380065458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.431
y[1] (analytic) = 2.1615804315548154323009400390301
y[1] (numeric) = 2.1615804315548154323009400390224
absolute error = 7.7e-30
relative error = 3.5622084136195771283107107721919e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.432
y[1] (analytic) = 2.166595699377448414742473542601
y[1] (numeric) = 2.1665956993774484147424735425932
absolute error = 7.8e-30
relative error = 3.6001179187428734938536999380575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.433
y[1] (analytic) = 2.1716109672000813971840070461718
y[1] (numeric) = 2.171610967200081397184007046164
absolute error = 7.8e-30
relative error = 3.5918035586533980354383334254985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.434
y[1] (analytic) = 2.1766262350227143796255405497427
y[1] (numeric) = 2.1766262350227143796255405497348
absolute error = 7.9e-30
relative error = 3.6294701740179837704785262757304e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.435
y[1] (analytic) = 2.1816415028453473620670740533135
y[1] (numeric) = 2.1816415028453473620670740533056
absolute error = 7.9e-30
relative error = 3.6211265644225401296268515026828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.436
y[1] (analytic) = 2.1866567706679803445086075568843
y[1] (numeric) = 2.1866567706679803445086075568764
absolute error = 7.9e-30
relative error = 3.6128212282656076981368816597868e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.437
y[1] (analytic) = 2.1916720384906133269501410604552
y[1] (numeric) = 2.1916720384906133269501410604472
absolute error = 8.0e-30
relative error = 3.6501811673928800078502572862543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.438
y[1] (analytic) = 2.196687306313246309391674564026
y[1] (numeric) = 2.196687306313246309391674564018
absolute error = 8.0e-30
relative error = 3.6418474204353620169647544157378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.439
y[1] (analytic) = 2.2017025741358792918332080675968
y[1] (numeric) = 2.2017025741358792918332080675888
absolute error = 8.0e-30
relative error = 3.6335516404343703039420556585267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 2.2067178419585122742747415711677
y[1] (numeric) = 2.2067178419585122742747415711596
absolute error = 8.1e-30
relative error = 3.6706097381308458419851010557257e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.441
y[1] (analytic) = 2.2117331097811452567162750747385
y[1] (numeric) = 2.2117331097811452567162750747304
absolute error = 8.1e-30
relative error = 3.6622863600398461915497606905201e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.442
y[1] (analytic) = 2.2167483776037782391578085783093
y[1] (numeric) = 2.2167483776037782391578085783012
absolute error = 8.1e-30
relative error = 3.6540006442931497069534942636185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.443
y[1] (analytic) = 2.2217636454264112215993420818802
y[1] (numeric) = 2.221763645426411221599342081872
absolute error = 8.2e-30
relative error = 3.6907616239378234255447550675970e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.444
y[1] (analytic) = 2.226778913249044204040875585451
y[1] (numeric) = 2.2267789132490442040408755854428
absolute error = 8.2e-30
relative error = 3.6824490977577832826944290426701e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.445
y[1] (analytic) = 2.2317941810716771864824090890218
y[1] (numeric) = 2.2317941810716771864824090890136
absolute error = 8.2e-30
relative error = 3.6741739312459680393625314493158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.446
y[1] (analytic) = 2.2368094488943101689239425925927
y[1] (numeric) = 2.2368094488943101689239425925844
absolute error = 8.3e-30
relative error = 3.7106424081420165573076424335687e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.447
y[1] (analytic) = 2.2418247167169431513654760961635
y[1] (numeric) = 2.2418247167169431513654760961552
absolute error = 8.3e-30
relative error = 3.7023411947009829632197058733147e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.448
y[1] (analytic) = 2.2468399845395761338070095997343
y[1] (numeric) = 2.246839984539576133807009599726
absolute error = 8.3e-30
relative error = 3.6940770402485254119625190298476e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.449
y[1] (analytic) = 2.2518552523622091162485431033052
y[1] (numeric) = 2.2518552523622091162485431032968
absolute error = 8.4e-30
relative error = 3.7302575248512761505614488993270e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 2.256870520184842098690076606876
y[1] (numeric) = 2.2568705201848420986900766068676
absolute error = 8.4e-30
relative error = 3.7219680636849399813379790128841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.451
y[1] (analytic) = 2.2618857880074750811316101104469
y[1] (numeric) = 2.2618857880074750811316101104384
absolute error = 8.5e-30
relative error = 3.7579262600556687331374114993880e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.452
y[1] (analytic) = 2.2669010558301080635731436140177
y[1] (numeric) = 2.2669010558301080635731436140092
absolute error = 8.5e-30
relative error = 3.7496122639051030943472844827965e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.453
y[1] (analytic) = 2.2719163236527410460146771175885
y[1] (numeric) = 2.27191632365274104601467711758
absolute error = 8.5e-30
relative error = 3.7413349741393081647791889320619e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.454
y[1] (analytic) = 2.2769315914753740284562106211594
y[1] (numeric) = 2.2769315914753740284562106211508
absolute error = 8.6e-30
relative error = 3.7770129028898462680349220631060e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.455
y[1] (analytic) = 2.2819468592980070108977441247302
y[1] (numeric) = 2.2819468592980070108977441247216
absolute error = 8.6e-30
relative error = 3.7687117756307477048084716849454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.456
y[1] (analytic) = 2.286962127120639993339277628301
y[1] (numeric) = 2.2869621271206399933392776282924
absolute error = 8.6e-30
relative error = 3.7604470568245399247540671417767e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.457
y[1] (analytic) = 2.2919773949432729757808111318719
y[1] (numeric) = 2.2919773949432729757808111318632
absolute error = 8.7e-30
relative error = 3.7958489552272949950344346763158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.458
y[1] (analytic) = 2.2969926627659059582223446354427
y[1] (numeric) = 2.296992662765905958222344635434
absolute error = 8.7e-30
relative error = 3.7875610754123882374033551246208e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.459
y[1] (analytic) = 2.3020079305885389406638781390135
y[1] (numeric) = 2.3020079305885389406638781390048
absolute error = 8.7e-30
relative error = 3.7793093083635595048599926951555e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 2.3070231984111719231054116425844
y[1] (numeric) = 2.3070231984111719231054116425756
absolute error = 8.8e-30
relative error = 3.8144393199255596082035188641358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.461
y[1] (analytic) = 2.3120384662338049055469451461552
y[1] (numeric) = 2.3120384662338049055469451461464
absolute error = 8.8e-30
relative error = 3.8061650480819032966889776084653e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.462
y[1] (analytic) = 2.317053734056437887988478649726
y[1] (numeric) = 2.3170537340564378879884786497172
absolute error = 8.8e-30
relative error = 3.7979265955968775319775296049838e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.463
y[1] (analytic) = 2.3220690018790708704300121532969
y[1] (numeric) = 2.322069001879070870430012153288
absolute error = 8.9e-30
relative error = 3.8327887727702829952840188076213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.464
y[1] (analytic) = 2.3270842697017038528715456568677
y[1] (numeric) = 2.3270842697017038528715456568588
absolute error = 8.9e-30
relative error = 3.8245284521393125577941825601911e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.465
y[1] (analytic) = 2.3320995375243368353130791604386
y[1] (numeric) = 2.3320995375243368353130791604296
absolute error = 9.0e-30
relative error = 3.8591834761710207179771671792576e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.466
y[1] (analytic) = 2.3371148053469698177546126640094
y[1] (numeric) = 2.3371148053469698177546126640004
absolute error = 9.0e-30
relative error = 3.8509019665655035061360144599889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.467
y[1] (analytic) = 2.3421300731696028001961461675802
y[1] (numeric) = 2.3421300731696028001961461675712
absolute error = 9.0e-30
relative error = 3.8426559238105452545168795253851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.468
y[1] (analytic) = 2.3471453409922357826376796711511
y[1] (numeric) = 2.347145340992235782637679671142
absolute error = 9.1e-30
relative error = 3.8770500663384791472270614717542e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.469
y[1] (analytic) = 2.3521606088148687650792131747219
y[1] (numeric) = 2.3521606088148687650792131747128
absolute error = 9.1e-30
relative error = 3.8687834350669685307084536647782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 2.3571758766375017475207466782927
y[1] (numeric) = 2.3571758766375017475207466782836
absolute error = 9.1e-30
relative error = 3.8605519809498047678771590825128e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.471
y[1] (analytic) = 2.3621911444601347299622801818636
y[1] (numeric) = 2.3621911444601347299622801818544
absolute error = 9.2e-30
relative error = 3.8946890566311928831107150726266e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.472
y[1] (analytic) = 2.3672064122827677124038136854344
y[1] (numeric) = 2.3672064122827677124038136854252
absolute error = 9.2e-30
relative error = 3.8864375967654488303922601678118e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.473
y[1] (analytic) = 2.3722216801054006948453471890052
y[1] (numeric) = 2.372221680105400694845347188996
absolute error = 9.2e-30
relative error = 3.8782210267934288540066528524465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.474
y[1] (analytic) = 2.3772369479280336772868806925761
y[1] (numeric) = 2.3772369479280336772868806925668
absolute error = 9.3e-30
relative error = 3.9121047685657710020844490076652e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.475
y[1] (analytic) = 2.3822522157506666597284141961469
y[1] (numeric) = 2.3822522157506666597284141961376
absolute error = 9.3e-30
relative error = 3.9038687585266851683958501676491e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=26.7MB, alloc=3.9MB, time=1.64
x[1] = 0.476
y[1] (analytic) = 2.3872674835732996421699476997177
y[1] (numeric) = 2.3872674835732996421699476997084
absolute error = 9.3e-30
relative error = 3.8956673535717971743445983815827e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.477
y[1] (analytic) = 2.3922827513959326246114812032886
y[1] (numeric) = 2.3922827513959326246114812032792
absolute error = 9.4e-30
relative error = 3.9293014149414236101276957233951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.478
y[1] (analytic) = 2.3972980192185656070530147068594
y[1] (numeric) = 2.39729801921856560705301470685
absolute error = 9.4e-30
relative error = 3.9210811190942658201483490796224e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.479
y[1] (analytic) = 2.4023132870411985894945482104303
y[1] (numeric) = 2.4023132870411985894945482104208
absolute error = 9.5e-30
relative error = 3.9545216900917383487970624018489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 2.4073285548638315719360817140011
y[1] (numeric) = 2.4073285548638315719360817139916
absolute error = 9.5e-30
relative error = 3.9462831032373805605704018551784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.481
y[1] (analytic) = 2.4123438226864645543776152175719
y[1] (numeric) = 2.4123438226864645543776152175624
absolute error = 9.5e-30
relative error = 3.9380787724614192704236858430055e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.482
y[1] (analytic) = 2.4173590905090975368191487211428
y[1] (numeric) = 2.4173590905090975368191487211332
absolute error = 9.6e-30
relative error = 3.9712759422838719421507778442153e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.483
y[1] (analytic) = 2.4223743583317305192606822247136
y[1] (numeric) = 2.422374358331730519260682224704
absolute error = 9.6e-30
relative error = 3.9630538388836982942374221965048e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.484
y[1] (analytic) = 2.4273896261543635017022157282844
y[1] (numeric) = 2.4273896261543635017022157282748
absolute error = 9.6e-30
relative error = 3.9548657111174096613980886795699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.485
y[1] (analytic) = 2.4324048939769964841437492318553
y[1] (numeric) = 2.4324048939769964841437492318456
absolute error = 9.7e-30
relative error = 3.9878229253767214085764060852329e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.486
y[1] (analytic) = 2.4374201617996294665852827354261
y[1] (numeric) = 2.4374201617996294665852827354164
absolute error = 9.7e-30
relative error = 3.9796175284109256855134916694197e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.487
y[1] (analytic) = 2.4424354296222624490268162389969
y[1] (numeric) = 2.4424354296222624490268162389872
absolute error = 9.7e-30
relative error = 3.9714458291739422652146959986407e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.488
y[1] (analytic) = 2.4474506974448954314683497425678
y[1] (numeric) = 2.447450697444895431468349742558
absolute error = 9.8e-30
relative error = 4.0041664619561342012345061101724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.489
y[1] (analytic) = 2.4524659652675284139098832461386
y[1] (numeric) = 2.4524659652675284139098832461288
absolute error = 9.8e-30
relative error = 3.9959779824838312683076461794768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 2.4574812330901613963514167497094
y[1] (numeric) = 2.4574812330901613963514167496996
absolute error = 9.8e-30
relative error = 3.9878229253767214085764060852330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.491
y[1] (analytic) = 2.4624965009127943787929502532803
y[1] (numeric) = 2.4624965009127943787929502532704
absolute error = 9.9e-30
relative error = 4.0203102811842710738193910635240e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.492
y[1] (analytic) = 2.4675117687354273612344837568511
y[1] (numeric) = 2.4675117687354273612344837568412
absolute error = 9.9e-30
relative error = 4.0121389188241404415555305125820e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.493
y[1] (analytic) = 2.472527036558060343676017260422
y[1] (numeric) = 2.472527036558060343676017260412
absolute error = 1.00e-29
relative error = 4.0444451575828817531200873075384e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.494
y[1] (analytic) = 2.4775423043806933261175507639928
y[1] (numeric) = 2.4775423043806933261175507639828
absolute error = 1.00e-29
relative error = 4.0362580216363577009882652684544e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.495
y[1] (analytic) = 2.4825575722033263085590842675636
y[1] (numeric) = 2.4825575722033263085590842675536
absolute error = 1.00e-29
relative error = 4.0281039650269913217943495810434e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.496
y[1] (analytic) = 2.4875728400259592910006177711345
y[1] (numeric) = 2.4875728400259592910006177711244
absolute error = 1.01e-29
relative error = 4.0601826155549280470384779698440e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.497
y[1] (analytic) = 2.4925881078485922734421512747053
y[1] (numeric) = 2.4925881078485922734421512746952
absolute error = 1.01e-29
relative error = 4.0520132340346968034830685574298e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.498
y[1] (analytic) = 2.4976033756712252558836847782761
y[1] (numeric) = 2.497603375671225255883684778266
absolute error = 1.01e-29
relative error = 4.0438766612755909866086045643427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.499
y[1] (analytic) = 2.502618643493858238325218281847
y[1] (numeric) = 2.5026186434938582383252182818368
absolute error = 1.02e-29
relative error = 4.0757308455754066500480302674725e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 2.5076339113164912207667517854178
y[1] (numeric) = 2.5076339113164912207667517854076
absolute error = 1.02e-29
relative error = 4.0675793838842558367479342069376e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.501
y[1] (analytic) = 2.5126491791391242032082852889886
y[1] (numeric) = 2.5126491791391242032082852889784
absolute error = 1.02e-29
relative error = 4.0594604629583391584310720628120e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.502
y[1] (analytic) = 2.5176644469617571856498187925595
y[1] (numeric) = 2.5176644469617571856498187925492
absolute error = 1.03e-29
relative error = 4.0910932401773137956510938922210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.503
y[1] (analytic) = 2.5226797147843901680913522961303
y[1] (numeric) = 2.52267971478439016809135229612
absolute error = 1.03e-29
relative error = 4.0829598540139394143476125922365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.504
y[1] (analytic) = 2.5276949826070231505328857997011
y[1] (numeric) = 2.5276949826070231505328857996908
absolute error = 1.03e-29
relative error = 4.0748587431924831853508911386806e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.505
y[1] (analytic) = 2.532710250429656132974419303272
y[1] (numeric) = 2.5327102504296561329744193032616
absolute error = 1.04e-29
relative error = 4.1062731112790002622964973550913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.506
y[1] (analytic) = 2.5377255182522891154159528068428
y[1] (numeric) = 2.5377255182522891154159528068324
absolute error = 1.04e-29
relative error = 4.0981579470274607360864252259311e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.507
y[1] (analytic) = 2.5427407860749220978574863104136
y[1] (numeric) = 2.5427407860749220978574863104032
absolute error = 1.04e-29
relative error = 4.0900747952581758036681088053672e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.508
y[1] (analytic) = 2.5477560538975550802990198139845
y[1] (numeric) = 2.547756053897555080299019813974
absolute error = 1.05e-29
relative error = 4.1212736925645250777610495959592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.509
y[1] (analytic) = 2.5527713217201880627405533175553
y[1] (numeric) = 2.5527713217201880627405533175448
absolute error = 1.05e-29
relative error = 4.1131768876675417279029728776961e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 2.5577865895428210451820868211262
y[1] (numeric) = 2.5577865895428210451820868211156
absolute error = 1.06e-29
relative error = 4.1442081381365928363637161277910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.511
y[1] (analytic) = 2.562801857365454027623620324697
y[1] (numeric) = 2.5628018573654540276236203246864
absolute error = 1.06e-29
relative error = 4.1360981417801611478385425150165e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.512
y[1] (analytic) = 2.5678171251880870100651538282678
y[1] (numeric) = 2.5678171251880870100651538282572
absolute error = 1.06e-29
relative error = 4.1280198250969967705966703616670e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.513
y[1] (analytic) = 2.5728323930107199925066873318387
y[1] (numeric) = 2.572832393010719992506687331828
absolute error = 1.07e-29
relative error = 4.1588406726638322682034644358667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.514
y[1] (analytic) = 2.5778476608333529749482208354095
y[1] (numeric) = 2.5778476608333529749482208353988
absolute error = 1.07e-29
relative error = 4.1507495429504785089268039992211e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.515
y[1] (analytic) = 2.5828629286559859573897543389803
y[1] (numeric) = 2.5828629286559859573897543389696
absolute error = 1.07e-29
relative error = 4.1426898351000892302686937001935e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.516
y[1] (analytic) = 2.5878781964786189398312878425512
y[1] (numeric) = 2.5878781964786189398312878425404
absolute error = 1.08e-29
relative error = 4.1733030614407549624636807868716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.517
y[1] (analytic) = 2.592893464301251922272821346122
y[1] (numeric) = 2.5928934643012519222728213461112
absolute error = 1.08e-29
relative error = 4.1652309085172718774299019072066e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.518
y[1] (analytic) = 2.5979087321238849047143548496928
y[1] (numeric) = 2.597908732123884904714354849682
absolute error = 1.08e-29
relative error = 4.1571899222073929741916202432931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.519
y[1] (analytic) = 2.6029239999465178871558883532637
y[1] (numeric) = 2.6029239999465178871558883532528
absolute error = 1.09e-29
relative error = 4.1875982549717016718191547523159e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 2.6079392677691508695974218568345
y[1] (numeric) = 2.6079392677691508695974218568236
absolute error = 1.09e-29
relative error = 4.1795451814044483993733486854846e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.521
y[1] (analytic) = 2.6129545355917838520389553604053
y[1] (numeric) = 2.6129545355917838520389553603944
absolute error = 1.09e-29
relative error = 4.1715230217472421644417299739962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.522
y[1] (analytic) = 2.6179698034144168344804888639762
y[1] (numeric) = 2.6179698034144168344804888639652
absolute error = 1.10e-29
relative error = 4.2017291359333271546303129250538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.523
y[1] (analytic) = 2.622985071237049816922022367547
y[1] (numeric) = 2.622985071237049816922022367536
absolute error = 1.10e-29
relative error = 4.1936952370118485176233716001494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.524
y[1] (analytic) = 2.6280003390596827993635558711179
y[1] (numeric) = 2.6280003390596827993635558711068
absolute error = 1.11e-29
relative error = 4.2237437472978633239692850711913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.525
y[1] (analytic) = 2.6330156068823157818050893746887
y[1] (numeric) = 2.6330156068823157818050893746776
absolute error = 1.11e-29
relative error = 4.2156985211125340604950578615320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.526
y[1] (analytic) = 2.6380308747049487642466228782595
y[1] (numeric) = 2.6380308747049487642466228782484
absolute error = 1.11e-29
relative error = 4.2076838851408372276804284739626e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.527
y[1] (analytic) = 2.6430461425275817466881563818304
y[1] (numeric) = 2.6430461425275817466881563818192
absolute error = 1.12e-29
relative error = 4.2375347973642580432690463144790e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.528
y[1] (analytic) = 2.6480614103502147291296898854012
y[1] (numeric) = 2.64806141035021472912968988539
absolute error = 1.12e-29
relative error = 4.2295091632783408878840670600955e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.529
y[1] (analytic) = 2.653076678172847711571223388972
y[1] (numeric) = 2.6530766781728477115712233889608
absolute error = 1.12e-29
relative error = 4.2215138718543742699485584267117e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 2.6580919459954806940127568925429
y[1] (numeric) = 2.6580919459954806940127568925316
absolute error = 1.13e-29
relative error = 4.2511697223355615015956027135030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.531
y[1] (analytic) = 2.6631072138181136764542903961137
y[1] (numeric) = 2.6631072138181136764542903961024
absolute error = 1.13e-29
relative error = 4.2431637529902967906698106179974e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.532
y[1] (analytic) = 2.6681224816407466588958238996845
y[1] (numeric) = 2.6681224816407466588958238996732
absolute error = 1.13e-29
relative error = 4.2351878812741496162512583423997e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.533
y[1] (analytic) = 2.6731377494633796413373574032554
y[1] (numeric) = 2.673137749463379641337357403244
absolute error = 1.14e-29
relative error = 4.2646511584704150148002841812059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=30.5MB, alloc=3.9MB, time=1.88
TOP MAIN SOLVE Loop
x[1] = 0.534
y[1] (analytic) = 2.6781530172860126237788909068262
y[1] (numeric) = 2.6781530172860126237788909068148
absolute error = 1.14e-29
relative error = 4.2566649203459385821882986303048e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.535
y[1] (analytic) = 2.683168285108645606220424410397
y[1] (numeric) = 2.6831682851086456062204244103856
absolute error = 1.14e-29
relative error = 4.2487085373172545848384139599679e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.536
y[1] (analytic) = 2.6881835529312785886619579139679
y[1] (numeric) = 2.6881835529312785886619579139564
absolute error = 1.15e-29
relative error = 4.2779816830067440483795401100913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.537
y[1] (analytic) = 2.6931988207539115711034914175387
y[1] (numeric) = 2.6931988207539115711034914175272
absolute error = 1.15e-29
relative error = 4.2700152366696737615110493463854e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.538
y[1] (analytic) = 2.6982140885765445535450249211096
y[1] (numeric) = 2.698214088576544553545024921098
absolute error = 1.16e-29
relative error = 4.2991399567258334887998429915150e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.539
y[1] (analytic) = 2.7032293563991775359865584246804
y[1] (numeric) = 2.7032293563991775359865584246688
absolute error = 1.16e-29
relative error = 4.2911638158042642244421438393972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 2.7082446242218105184280919282512
y[1] (numeric) = 2.7082446242218105184280919282396
absolute error = 1.16e-29
relative error = 4.2832172161453674388413250545095e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.541
y[1] (analytic) = 2.7132598920444435008696254318221
y[1] (numeric) = 2.7132598920444435008696254318104
absolute error = 1.17e-29
relative error = 4.3121560283648466248007348611114e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.542
y[1] (analytic) = 2.7182751598670764833111589353929
y[1] (numeric) = 2.7182751598670764833111589353812
absolute error = 1.17e-29
relative error = 4.3042000209324391587033165311094e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.543
y[1] (analytic) = 2.7232904276897094657526924389637
y[1] (numeric) = 2.723290427689709465752692438952
absolute error = 1.17e-29
relative error = 4.2962733173948103573060728542565e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.544
y[1] (analytic) = 2.7283056955123424481942259425346
y[1] (numeric) = 2.7283056955123424481942259425228
absolute error = 1.18e-29
relative error = 4.3250285403901941747427933644989e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.545
y[1] (analytic) = 2.7333209633349754306357594461054
y[1] (numeric) = 2.7333209633349754306357594460936
absolute error = 1.18e-29
relative error = 4.3170927082059919835964763124540e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.546
y[1] (analytic) = 2.7383362311576084130772929496762
y[1] (numeric) = 2.7383362311576084130772929496644
absolute error = 1.18e-29
relative error = 4.3091859450041495074360432056547e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.547
y[1] (analytic) = 2.7433514989802413955188264532471
y[1] (numeric) = 2.7433514989802413955188264532352
absolute error = 1.19e-29
relative error = 4.3377598548430516235885952846683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.548
y[1] (analytic) = 2.7483667668028743779603599568179
y[1] (numeric) = 2.748366766802874377960359956806
absolute error = 1.19e-29
relative error = 4.3298442346699803615017547823241e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.549
y[1] (analytic) = 2.7533820346255073604018934603887
y[1] (numeric) = 2.7533820346255073604018934603768
absolute error = 1.19e-29
relative error = 4.3219574510002718362531177062179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 2.7583973024481403428434269639596
y[1] (numeric) = 2.7583973024481403428434269639476
absolute error = 1.20e-29
relative error = 4.3503522822291506275378975475268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.551
y[1] (analytic) = 2.7634125702707733252849604675304
y[1] (numeric) = 2.7634125702707733252849604675184
absolute error = 1.20e-29
relative error = 4.3424569060363572507184095301992e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.552
y[1] (analytic) = 2.7684278380934063077264939711013
y[1] (numeric) = 2.7684278380934063077264939710892
absolute error = 1.21e-29
relative error = 4.3707117207480370510665320318223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.553
y[1] (analytic) = 2.7734431059160392901680274746721
y[1] (numeric) = 2.77344310591603929016802747466
absolute error = 1.21e-29
relative error = 4.3628080829166662788222887550921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.554
y[1] (analytic) = 2.7784583737386722726095609782429
y[1] (numeric) = 2.7784583737386722726095609782308
absolute error = 1.21e-29
relative error = 4.3549329780738564118930066454259e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.555
y[1] (analytic) = 2.7834736415613052550510944818138
y[1] (numeric) = 2.7834736415613052550510944818016
absolute error = 1.22e-29
relative error = 4.3830125846482883950119057873731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.556
y[1] (analytic) = 2.7884889093839382374926279853846
y[1] (numeric) = 2.7884889093839382374926279853724
absolute error = 1.22e-29
relative error = 4.3751294684888490273949778992664e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.557
y[1] (analytic) = 2.7935041772065712199341614889554
y[1] (numeric) = 2.7935041772065712199341614889432
absolute error = 1.22e-29
relative error = 4.3672746579529624043655434685675e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.558
y[1] (analytic) = 2.7985194450292042023756949925263
y[1] (numeric) = 2.798519445029204202375694992514
absolute error = 1.23e-29
relative error = 4.3951811811947735954739959541545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.559
y[1] (analytic) = 2.8035347128518371848172284960971
y[1] (numeric) = 2.8035347128518371848172284960848
absolute error = 1.23e-29
relative error = 4.3873186030531013707951515964549e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 2.8085499806744701672587619996679
y[1] (numeric) = 2.8085499806744701672587619996556
absolute error = 1.23e-29
relative error = 4.3794841055476494040615888257470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.561
y[1] (analytic) = 2.8135652484971031497002955032388
y[1] (numeric) = 2.8135652484971031497002955032264
absolute error = 1.24e-29
relative error = 4.4072196323236493285514648357298e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.562
y[1] (analytic) = 2.8185805163197361321418290068096
y[1] (numeric) = 2.8185805163197361321418290067972
absolute error = 1.24e-29
relative error = 4.3993776045081268208494159659154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.563
y[1] (analytic) = 2.8235957841423691145833625103804
y[1] (numeric) = 2.823595784142369114583362510368
absolute error = 1.24e-29
relative error = 4.3915634346955013735654916036314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.564
y[1] (analytic) = 2.8286110519650020970248960139513
y[1] (numeric) = 2.8286110519650020970248960139388
absolute error = 1.25e-29
relative error = 4.4191300148234944687238542611180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.565
y[1] (analytic) = 2.8336263197876350794664295175221
y[1] (numeric) = 2.8336263197876350794664295175096
absolute error = 1.25e-29
relative error = 4.4113085457707095227615111562312e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.566
y[1] (analytic) = 2.8386415876102680619079630210929
y[1] (numeric) = 2.8386415876102680619079630210804
absolute error = 1.25e-29
relative error = 4.4035147144177577391523918785700e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.567
y[1] (analytic) = 2.8436568554329010443494965246638
y[1] (numeric) = 2.8436568554329010443494965246512
absolute error = 1.26e-29
relative error = 4.4309143615296904539737845391477e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.568
y[1] (analytic) = 2.8486721232555340267910300282346
y[1] (numeric) = 2.848672123255534026791030028222
absolute error = 1.26e-29
relative error = 4.4231134559636170552872109748183e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.569
y[1] (analytic) = 2.8536873910781670092325635318055
y[1] (numeric) = 2.8536873910781670092325635317928
absolute error = 1.27e-29
relative error = 4.4503823508158490236309628543460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 2.8587026589007999916740970353763
y[1] (numeric) = 2.8587026589007999916740970353636
absolute error = 1.27e-29
relative error = 4.4425746624810843762210839721455e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.571
y[1] (analytic) = 2.8637179267234329741156305389471
y[1] (numeric) = 2.8637179267234329741156305389344
absolute error = 1.27e-29
relative error = 4.4347943215660562074361083434728e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.572
y[1] (analytic) = 2.868733194546065956557164042518
y[1] (numeric) = 2.8687331945460659565571640425052
absolute error = 1.28e-29
relative error = 4.4618997766452826949106641513095e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.573
y[1] (analytic) = 2.8737484623686989389986975460888
y[1] (numeric) = 2.873748462368698938998697546076
absolute error = 1.28e-29
relative error = 4.4541128660403171055652703220752e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.574
y[1] (analytic) = 2.8787637301913319214402310496596
y[1] (numeric) = 2.8787637301913319214402310496468
absolute error = 1.28e-29
relative error = 4.4463530875280517447541810009567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.575
y[1] (analytic) = 2.8837789980139649038817645532305
y[1] (numeric) = 2.8837789980139649038817645532176
absolute error = 1.29e-29
relative error = 4.4732970206399744496204903043047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.576
y[1] (analytic) = 2.8887942658365978863232980568013
y[1] (numeric) = 2.8887942658365978863232980567884
absolute error = 1.29e-29
relative error = 4.4655308799791411606454547308598e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.577
y[1] (analytic) = 2.8938095336592308687648315603721
y[1] (numeric) = 2.8938095336592308687648315603592
absolute error = 1.29e-29
relative error = 4.4577916583500611932959825389520e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.578
y[1] (analytic) = 2.898824801481863851206365063943
y[1] (numeric) = 2.89882480148186385120636506393
absolute error = 1.30e-29
relative error = 4.4845759541433718262537438674765e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.579
y[1] (analytic) = 2.9038400693044968336478985675138
y[1] (numeric) = 2.9038400693044968336478985675008
absolute error = 1.30e-29
relative error = 4.4768305725299981270719584721959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 2.9088553371271298160894320710846
y[1] (numeric) = 2.9088553371271298160894320710716
absolute error = 1.30e-29
relative error = 4.4691118991290843371976964748301e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.581
y[1] (analytic) = 2.9138706049497627985309655746555
y[1] (numeric) = 2.9138706049497627985309655746424
absolute error = 1.31e-29
relative error = 4.4957384098481110544191841408392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.582
y[1] (analytic) = 2.9188858727723957809724990782263
y[1] (numeric) = 2.9188858727723957809724990782132
absolute error = 1.31e-29
relative error = 4.4880137734050730629167456801161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.583
y[1] (analytic) = 2.9239011405950287634140325817972
y[1] (numeric) = 2.923901140595028763414032581784
absolute error = 1.32e-29
relative error = 4.5145165192944015946147993417731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.584
y[1] (analytic) = 2.928916408417661745855566085368
y[1] (numeric) = 2.9289164084176617458555660853548
absolute error = 1.32e-29
relative error = 4.5067861827887604959938835894756e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.585
y[1] (analytic) = 2.9339316762402947282970995889388
y[1] (numeric) = 2.9339316762402947282970995889256
absolute error = 1.32e-29
relative error = 4.4990822747839933840349196859039e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.586
y[1] (analytic) = 2.9389469440629277107386330925097
y[1] (numeric) = 2.9389469440629277107386330924964
absolute error = 1.33e-29
relative error = 4.5254304528592486974459215813650e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.587
y[1] (analytic) = 2.9439622118855606931801665960805
y[1] (numeric) = 2.9439622118855606931801665960672
absolute error = 1.33e-29
relative error = 4.5177210313041222090345997388073e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.588
y[1] (analytic) = 2.9489774797081936756217000996513
y[1] (numeric) = 2.948977479708193675621700099638
absolute error = 1.33e-29
relative error = 4.5100378322712920692233164059183e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.589
y[1] (analytic) = 2.9539927475308266580632336032222
y[1] (numeric) = 2.9539927475308266580632336032088
absolute error = 1.34e-29
relative error = 4.5362332088326033000784245791274e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 2.959008015353459640504767106793
y[1] (numeric) = 2.9590080153534596405047671067796
absolute error = 1.34e-29
relative error = 4.5285446779701751588918509781459e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=34.3MB, alloc=3.9MB, time=2.12
x[1] = 0.591
y[1] (analytic) = 2.9640232831760926229463006103638
y[1] (numeric) = 2.9640232831760926229463006103504
absolute error = 1.34e-29
relative error = 4.5208821658247095494859426008564e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.592
y[1] (analytic) = 2.9690385509987256053878341139347
y[1] (numeric) = 2.9690385509987256053878341139212
absolute error = 1.35e-29
relative error = 4.5469264774143360655220846411017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.593
y[1] (analytic) = 2.9740538188213585878293676175055
y[1] (numeric) = 2.974053818821358587829367617492
absolute error = 1.35e-29
relative error = 4.5392588105046997483795516147255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.594
y[1] (analytic) = 2.9790690866439915702709011210763
y[1] (numeric) = 2.9790690866439915702709011210628
absolute error = 1.35e-29
relative error = 4.5316169606553652370186432786739e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.595
y[1] (analytic) = 2.9840843544666245527124346246472
y[1] (numeric) = 2.9840843544666245527124346246336
absolute error = 1.36e-29
relative error = 4.5575119147162530383730355259805e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.596
y[1] (analytic) = 2.989099622289257535153968128218
y[1] (numeric) = 2.9890996222892575351539681282044
absolute error = 1.36e-29
relative error = 4.5498650826445814728724096274470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.597
y[1] (analytic) = 2.9941148901118905175955016317889
y[1] (numeric) = 2.9941148901118905175955016317752
absolute error = 1.37e-29
relative error = 4.5756427200721175291035815215821e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.598
y[1] (analytic) = 2.9991301579345235000370351353597
y[1] (numeric) = 2.999130157934523500037035135346
absolute error = 1.37e-29
relative error = 4.5679911436171474329010671712116e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.599
y[1] (analytic) = 3.0041454257571564824785686389305
y[1] (numeric) = 3.0041454257571564824785686389168
absolute error = 1.37e-29
relative error = 4.5603651149967515273369585448825e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 3.0091606935797894649201021425014
y[1] (numeric) = 3.0091606935797894649201021424876
absolute error = 1.38e-29
relative error = 4.5859963641832296198628669980178e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.601
y[1] (analytic) = 3.0141759614024224473616356460722
y[1] (numeric) = 3.0141759614024224473616356460584
absolute error = 1.38e-29
relative error = 4.5783657545922425489479537417816e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.602
y[1] (analytic) = 3.019191229225055429803169149643
y[1] (numeric) = 3.0191912292250554298031691496292
absolute error = 1.38e-29
relative error = 4.5707604958636840065078408618119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.603
y[1] (analytic) = 3.0242064970476884122447026532139
y[1] (numeric) = 3.0242064970476884122447026532
absolute error = 1.39e-29
relative error = 4.5962469869599027843459406786681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.604
y[1] (analytic) = 3.0292217648703213946862361567847
y[1] (numeric) = 3.0292217648703213946862361567708
absolute error = 1.39e-29
relative error = 4.5886373065179161903321228960876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.605
y[1] (analytic) = 3.0342370326929543771277696603555
y[1] (numeric) = 3.0342370326929543771277696603416
absolute error = 1.39e-29
relative error = 4.5810527820443328577861193871685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.606
y[1] (analytic) = 3.0392523005155873595693031639264
y[1] (numeric) = 3.0392523005155873595693031639124
absolute error = 1.40e-29
relative error = 4.6063961184219554224479938278268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.607
y[1] (analytic) = 3.0442675683382203420108366674972
y[1] (numeric) = 3.0442675683382203420108366674832
absolute error = 1.40e-29
relative error = 4.5988073274525617561836643487036e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.608
y[1] (analytic) = 3.049282836160853324452370171068
y[1] (numeric) = 3.049282836160853324452370171054
absolute error = 1.40e-29
relative error = 4.5912434996113568848741517428669e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.609
y[1] (analytic) = 3.0542981039834863068939036746389
y[1] (numeric) = 3.0542981039834863068939036746248
absolute error = 1.41e-29
relative error = 4.6164452584410321724899282267475e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 3.0593133718061192893354371782097
y[1] (numeric) = 3.0593133718061192893354371781956
absolute error = 1.41e-29
relative error = 4.6088773153944075295842070329332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.611
y[1] (analytic) = 3.0643286396287522717769706817806
y[1] (numeric) = 3.0643286396287522717769706817664
absolute error = 1.42e-29
relative error = 4.6339677201595289690495062528893e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.612
y[1] (analytic) = 3.0693439074513852542185041853514
y[1] (numeric) = 3.0693439074513852542185041853372
absolute error = 1.42e-29
relative error = 4.6263958774795297387079220923454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.613
y[1] (analytic) = 3.0743591752740182366600376889222
y[1] (numeric) = 3.074359175274018236660037688908
absolute error = 1.42e-29
relative error = 4.6188487390170835237997525620154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.614
y[1] (analytic) = 3.0793744430966512191015711924931
y[1] (numeric) = 3.0793744430966512191015711924788
absolute error = 1.43e-29
relative error = 4.6438003121243579920718735357354e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.615
y[1] (analytic) = 3.0843897109192842015431046960639
y[1] (numeric) = 3.0843897109192842015431046960496
absolute error = 1.43e-29
relative error = 4.6362494173078956213530574812058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.616
y[1] (analytic) = 3.0894049787419171839846381996347
y[1] (numeric) = 3.0894049787419171839846381996204
absolute error = 1.43e-29
relative error = 4.6287230383836944920976142060740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.617
y[1] (analytic) = 3.0944202465645501664261717032056
y[1] (numeric) = 3.0944202465645501664261717031912
absolute error = 1.44e-29
relative error = 4.6535372873115711737034236326867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.618
y[1] (analytic) = 3.0994355143871831488677052067764
y[1] (numeric) = 3.099435514387183148867705206762
absolute error = 1.44e-29
relative error = 4.6460072917010346507686284488151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.619
y[1] (analytic) = 3.1044507822098161313092387103472
y[1] (numeric) = 3.1044507822098161313092387103328
absolute error = 1.44e-29
relative error = 4.6385016256401282943053511815311e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 3.1094660500324491137507722139181
y[1] (numeric) = 3.1094660500324491137507722139036
absolute error = 1.45e-29
relative error = 4.6631800337066500342224103416030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.621
y[1] (analytic) = 3.1144813178550820961923057174889
y[1] (numeric) = 3.1144813178550820961923057174744
absolute error = 1.45e-29
relative error = 4.6556708871145298248275272331625e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.622
y[1] (analytic) = 3.1194965856777150786338392210597
y[1] (numeric) = 3.1194965856777150786338392210452
absolute error = 1.45e-29
relative error = 4.6481858856883006771991871572250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.623
y[1] (analytic) = 3.1245118535003480610753727246306
y[1] (numeric) = 3.124511853500348061075372724616
absolute error = 1.46e-29
relative error = 4.6727299125602032556352751881541e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.624
y[1] (analytic) = 3.1295271213229810435169062282014
y[1] (numeric) = 3.1295271213229810435169062281868
absolute error = 1.46e-29
relative error = 4.6652415633413567760589366061219e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.625
y[1] (analytic) = 3.1345423891456140259584397317722
y[1] (numeric) = 3.1345423891456140259584397317576
absolute error = 1.46e-29
relative error = 4.6577771768400106052172423075522e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.626
y[1] (analytic) = 3.1395576569682470083999732353431
y[1] (numeric) = 3.1395576569682470083999732353284
absolute error = 1.47e-29
relative error = 4.6821882590285786506448218412879e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.627
y[1] (analytic) = 3.1445729247908799908415067389139
y[1] (numeric) = 3.1445729247908799908415067388992
absolute error = 1.47e-29
relative error = 4.6747206541497451918718635927372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.628
y[1] (analytic) = 3.1495881926135129732830402424848
y[1] (numeric) = 3.14958819261351297328304024247
absolute error = 1.48e-29
relative error = 4.6990270139789392394053192724082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.629
y[1] (analytic) = 3.1546034604361459557245737460556
y[1] (numeric) = 3.1546034604361459557245737460408
absolute error = 1.48e-29
relative error = 4.6915563827961428336193012767446e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 3.1596187282587789381661072496264
y[1] (numeric) = 3.1596187282587789381661072496116
absolute error = 1.48e-29
relative error = 4.6841094679028156227722865128133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.631
y[1] (analytic) = 3.1646339960814119206076407531973
y[1] (numeric) = 3.1646339960814119206076407531824
absolute error = 1.49e-29
relative error = 4.7082853873306774158310975174303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.632
y[1] (analytic) = 3.1696492639040449030491742567681
y[1] (numeric) = 3.1696492639040449030491742567532
absolute error = 1.49e-29
relative error = 4.7008355686798377363756685656623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.633
y[1] (analytic) = 3.1746645317266778854907077603389
y[1] (numeric) = 3.174664531726677885490707760324
absolute error = 1.49e-29
relative error = 4.6934092881605962865551698791447e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.634
y[1] (analytic) = 3.1796797995493108679322412639098
y[1] (numeric) = 3.1796797995493108679322412638948
absolute error = 1.50e-29
relative error = 4.7174561420071625495777674509853e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.635
y[1] (analytic) = 3.1846950673719438503737747674806
y[1] (numeric) = 3.1846950673719438503737747674656
absolute error = 1.50e-29
relative error = 4.7100270772166000888697709668106e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.636
y[1] (analytic) = 3.1897103351945768328153082710514
y[1] (numeric) = 3.1897103351945768328153082710364
absolute error = 1.50e-29
relative error = 4.7026213742650016610570826476804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.637
y[1] (analytic) = 3.1947256030172098152568417746223
y[1] (numeric) = 3.1947256030172098152568417746072
absolute error = 1.51e-29
relative error = 4.7265405159488613241368706347737e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.638
y[1] (analytic) = 3.1997408708398427976983752781931
y[1] (numeric) = 3.199740870839842797698375278178
absolute error = 1.51e-29
relative error = 4.7191321452342079364814836902052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.639
y[1] (analytic) = 3.2047561386624757801399087817639
y[1] (numeric) = 3.2047561386624757801399087817488
absolute error = 1.51e-29
relative error = 4.7117469619083328066904328550093e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 3.2097714064851087625814422853348
y[1] (numeric) = 3.2097714064851087625814422853196
absolute error = 1.52e-29
relative error = 4.7355397238848566726844822262141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.641
y[1] (analytic) = 3.2147866743077417450229757889056
y[1] (numeric) = 3.2147866743077417450229757888904
absolute error = 1.52e-29
relative error = 4.7281519864060971458940228155648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.642
y[1] (analytic) = 3.2198019421303747274645092924765
y[1] (numeric) = 3.2198019421303747274645092924612
absolute error = 1.53e-29
relative error = 4.7518450746311399962008577183850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.643
y[1] (analytic) = 3.2248172099530077099060427960473
y[1] (numeric) = 3.224817209953007709906042796032
absolute error = 1.53e-29
relative error = 4.7444549578743264036717739583253e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.644
y[1] (analytic) = 3.2298324777756406923475762996181
y[1] (numeric) = 3.2298324777756406923475762996028
absolute error = 1.53e-29
relative error = 4.7370877917906706173306687192597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.645
y[1] (analytic) = 3.234847745598273674789109803189
y[1] (numeric) = 3.2348477455982736747891098031736
absolute error = 1.54e-29
relative error = 4.7606568256435278831067173420610e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.646
y[1] (analytic) = 3.2398630134209066572306433067598
y[1] (numeric) = 3.2398630134209066572306433067444
absolute error = 1.54e-29
relative error = 4.7532873878329341866932394514386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.647
y[1] (analytic) = 3.2448782812435396396721768103306
y[1] (numeric) = 3.2448782812435396396721768103152
absolute error = 1.54e-29
relative error = 4.7459407303556035310723843672788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.648
y[1] (analytic) = 3.2498935490661726221137103139015
y[1] (numeric) = 3.249893549066172622113710313886
absolute error = 1.55e-29
relative error = 4.7693869863687640303190041914437e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=38.1MB, alloc=3.9MB, time=2.35
TOP MAIN SOLVE Loop
x[1] = 0.649
y[1] (analytic) = 3.2549088168888056045552438174723
y[1] (numeric) = 3.2549088168888056045552438174568
absolute error = 1.55e-29
relative error = 4.7620381620446210965280658182674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 3.2599240847114385869967773210431
y[1] (numeric) = 3.2599240847114385869967773210276
absolute error = 1.55e-29
relative error = 4.7547119494876293717641764862393e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.651
y[1] (analytic) = 3.264939352534071569438310824614
y[1] (numeric) = 3.2649393525340715694383108245984
absolute error = 1.56e-29
relative error = 4.7780366847831685079717307933666e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.652
y[1] (analytic) = 3.2699546203567045518798443281848
y[1] (numeric) = 3.2699546203567045518798443281692
absolute error = 1.56e-29
relative error = 4.7707084076592679427754551326407e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.653
y[1] (analytic) = 3.2749698881793375343213778317556
y[1] (numeric) = 3.27496988817933753432137783174
absolute error = 1.56e-29
relative error = 4.7634025754882736580238847572462e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.654
y[1] (analytic) = 3.2799851560019705167629113353265
y[1] (numeric) = 3.2799851560019705167629113353108
absolute error = 1.57e-29
relative error = 4.7866070281662481739028727475655e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.655
y[1] (analytic) = 3.2850004238246034992044448388973
y[1] (numeric) = 3.2850004238246034992044448388816
absolute error = 1.57e-29
relative error = 4.7792992311766813827976775219968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.656
y[1] (analytic) = 3.2900156916472364816459783424682
y[1] (numeric) = 3.2900156916472364816459783424524
absolute error = 1.58e-29
relative error = 4.8024087058652590133770744014238e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.657
y[1] (analytic) = 3.295030959469869464087511846039
y[1] (numeric) = 3.2950309594698694640875118460232
absolute error = 1.58e-29
relative error = 4.7950991035732266556702599807215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.658
y[1] (analytic) = 3.3000462272925024465290453496098
y[1] (numeric) = 3.300046227292502446529045349594
absolute error = 1.58e-29
relative error = 4.7878117189173402929716729594742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.659
y[1] (analytic) = 3.3050614951151354289705788531807
y[1] (numeric) = 3.3050614951151354289705788531648
absolute error = 1.59e-29
relative error = 4.8108030738611434291627357173902e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 3.3100767629377684114121123567515
y[1] (numeric) = 3.3100767629377684114121123567356
absolute error = 1.59e-29
relative error = 4.8035139782946871512397618753942e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.661
y[1] (analytic) = 3.3150920307604013938536458603223
y[1] (numeric) = 3.3150920307604013938536458603064
absolute error = 1.59e-29
relative error = 4.7962469374803230254436351554618e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.662
y[1] (analytic) = 3.3201072985830343762951793638932
y[1] (numeric) = 3.3201072985830343762951793638772
absolute error = 1.60e-29
relative error = 4.8191213599718687716935420969582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.663
y[1] (analytic) = 3.325122566405667358736712867464
y[1] (numeric) = 3.325122566405667358736712867448
absolute error = 1.60e-29
relative error = 4.8118527003037362396095397710202e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.664
y[1] (analytic) = 3.3301378342283003411782463710348
y[1] (numeric) = 3.3301378342283003411782463710188
absolute error = 1.60e-29
relative error = 4.8046059341888209741884410665458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.665
y[1] (analytic) = 3.3351531020509333236197798746057
y[1] (numeric) = 3.3351531020509333236197798745896
absolute error = 1.61e-29
relative error = 4.8273645938770838103819652610714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.666
y[1] (analytic) = 3.3401683698735663060613133781765
y[1] (numeric) = 3.3401683698735663060613133781604
absolute error = 1.61e-29
relative error = 4.8201162986910821830390493973161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.667
y[1] (analytic) = 3.3451836376961992885028468817473
y[1] (numeric) = 3.3451836376961992885028468817312
absolute error = 1.61e-29
relative error = 4.8128897375236292862129038959709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.668
y[1] (analytic) = 3.3501989055188322709443803853182
y[1] (numeric) = 3.350198905518832270944380385302
absolute error = 1.62e-29
relative error = 4.8355337867591981151899534865848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.669
y[1] (analytic) = 3.355214173341465253385913888889
y[1] (numeric) = 3.3552141733414652533859138888728
absolute error = 1.62e-29
relative error = 4.8283057840884070866171732870534e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 3.3602294411640982358274473924599
y[1] (numeric) = 3.3602294411640982358274473924436
absolute error = 1.63e-29
relative error = 4.8508592301224297731190611335296e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.671
y[1] (analytic) = 3.3652447089867312182689808960307
y[1] (numeric) = 3.3652447089867312182689808960144
absolute error = 1.63e-29
relative error = 4.8436299317168821877641892093366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.672
y[1] (analytic) = 3.3702599768093642007105143996015
y[1] (numeric) = 3.3702599768093642007105143995852
absolute error = 1.63e-29
relative error = 4.8364221490803987321276353563465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.673
y[1] (analytic) = 3.3752752446319971831520479031724
y[1] (numeric) = 3.375275244631997183152047903156
absolute error = 1.64e-29
relative error = 4.8588629997160647177305393609078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.674
y[1] (analytic) = 3.3802905124546301655935814067432
y[1] (numeric) = 3.3802905124546301655935814067268
absolute error = 1.64e-29
relative error = 4.8516540041675245623629866318858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.675
y[1] (analytic) = 3.385305780277263148035114910314
y[1] (numeric) = 3.3853057802772631480351149102976
absolute error = 1.64e-29
relative error = 4.8444663686057948963446710961349e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.676
y[1] (analytic) = 3.3903210480998961304766484138849
y[1] (numeric) = 3.3903210480998961304766484138684
absolute error = 1.65e-29
relative error = 4.8667957299346082279223890833094e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.677
y[1] (analytic) = 3.3953363159225291129181819174557
y[1] (numeric) = 3.3953363159225291129181819174392
absolute error = 1.65e-29
relative error = 4.8596069622389884225635672382824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.678
y[1] (analytic) = 3.4003515837451620953597154210265
y[1] (numeric) = 3.40035158374516209535971542101
absolute error = 1.65e-29
relative error = 4.8524394003477804750376622718543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.679
y[1] (analytic) = 3.4053668515677950778012489245974
y[1] (numeric) = 3.4053668515677950778012489245808
absolute error = 1.66e-29
relative error = 4.8746583623898067291876539775307e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 3.4103821193904280602427824281682
y[1] (numeric) = 3.4103821193904280602427824281516
absolute error = 1.66e-29
relative error = 4.8674897471509981898800250746226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.681
y[1] (analytic) = 3.415397387213061042684315931739
y[1] (numeric) = 3.4153973872130610426843159317224
absolute error = 1.66e-29
relative error = 4.8603421851140657402619927323691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.682
y[1] (analytic) = 3.4204126550356940251258494353099
y[1] (numeric) = 3.4204126550356940251258494352932
absolute error = 1.67e-29
relative error = 4.8824518221254580295620221131517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.683
y[1] (analytic) = 3.4254279228583270075673829388807
y[1] (numeric) = 3.425427922858327007567382938864
absolute error = 1.67e-29
relative error = 4.8753032835864749284938493135718e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.684
y[1] (analytic) = 3.4304431906809599900089164424516
y[1] (numeric) = 3.4304431906809599900089164424348
absolute error = 1.68e-29
relative error = 4.8973263995854473438657618590579e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.685
y[1] (analytic) = 3.4354584585035929724504499460224
y[1] (numeric) = 3.4354584585035929724504499460056
absolute error = 1.68e-29
relative error = 4.8901770179802131141666877541543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.686
y[1] (analytic) = 3.4404737263262259548919834495932
y[1] (numeric) = 3.4404737263262259548919834495764
absolute error = 1.68e-29
relative error = 4.8830484800531282553996809206934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.687
y[1] (analytic) = 3.4454889941488589373335169531641
y[1] (numeric) = 3.4454889941488589373335169531472
absolute error = 1.69e-29
relative error = 4.9049641513003341924993641077464e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.688
y[1] (analytic) = 3.4505042619714919197750504567349
y[1] (numeric) = 3.450504261971491919775050456718
absolute error = 1.69e-29
relative error = 4.8978348429408860323358475901480e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.689
y[1] (analytic) = 3.4555195297941249022165839603057
y[1] (numeric) = 3.4555195297941249022165839602888
absolute error = 1.69e-29
relative error = 4.8907262292356017274993659535876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 3.4605347976167578846581174638766
y[1] (numeric) = 3.4605347976167578846581174638596
absolute error = 1.70e-29
relative error = 4.9125354877829176772318045977507e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.691
y[1] (analytic) = 3.4655500654393908670996509674474
y[1] (numeric) = 3.4655500654393908670996509674304
absolute error = 1.70e-29
relative error = 4.9054261744865603434007889615745e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.692
y[1] (analytic) = 3.4705653332620238495411844710182
y[1] (numeric) = 3.4705653332620238495411844710012
absolute error = 1.70e-29
relative error = 4.8983374083384583775866259717457e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.693
y[1] (analytic) = 3.4755806010846568319827179745891
y[1] (numeric) = 3.475580601084656831982717974572
absolute error = 1.71e-29
relative error = 4.9200412715686822573345269882744e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.694
y[1] (analytic) = 3.4805958689072898144242514781599
y[1] (numeric) = 3.4805958689072898144242514781428
absolute error = 1.71e-29
relative error = 4.9129518749237706114305867476573e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.695
y[1] (analytic) = 3.4856111367299227968657849817307
y[1] (numeric) = 3.4856111367299227968657849817136
absolute error = 1.71e-29
relative error = 4.9058828794202831717019096444233e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.696
y[1] (analytic) = 3.4906264045525557793073184853016
y[1] (numeric) = 3.4906264045525557793073184852844
absolute error = 1.72e-29
relative error = 4.9274823503218109358846397030177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.697
y[1] (analytic) = 3.4956416723751887617488519888724
y[1] (numeric) = 3.4956416723751887617488519888552
absolute error = 1.72e-29
relative error = 4.9204127917130278498934135341468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.698
y[1] (analytic) = 3.5006569401978217441903854924432
y[1] (numeric) = 3.500656940197821744190385492426
absolute error = 1.72e-29
relative error = 4.9133634897191696438047410219203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.699
y[1] (analytic) = 3.5056722080204547266319189960141
y[1] (numeric) = 3.5056722080204547266319189959968
absolute error = 1.73e-29
relative error = 4.9348595571543119004557814931709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 3.5106874758430877090734524995849
y[1] (numeric) = 3.5106874758430877090734524995676
absolute error = 1.73e-29
relative error = 4.9278097577869485977408446624665e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.701
y[1] (analytic) = 3.5157027436657206915149860031558
y[1] (numeric) = 3.5157027436657206915149860031384
absolute error = 1.74e-29
relative error = 4.9492238874147612346098049845259e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.702
y[1] (analytic) = 3.5207180114883536739565195067266
y[1] (numeric) = 3.5207180114883536739565195067092
absolute error = 1.74e-29
relative error = 4.9421737109369624294322981398186e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.703
y[1] (analytic) = 3.5257332793109866563980530102974
y[1] (numeric) = 3.52573327931098665639805301028
absolute error = 1.74e-29
relative error = 4.9351435918602384430461924525643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.704
y[1] (analytic) = 3.5307485471336196388395865138683
y[1] (numeric) = 3.5307485471336196388395865138508
absolute error = 1.75e-29
relative error = 4.9564560507168057279891410860494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.705
y[1] (analytic) = 3.5357638149562526212811200174391
y[1] (numeric) = 3.5357638149562526212811200174216
absolute error = 1.75e-29
relative error = 4.9494256166023138049707167724522e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.706
y[1] (analytic) = 3.5407790827788856037226535210099
y[1] (numeric) = 3.5407790827788856037226535209924
memory used=41.9MB, alloc=3.9MB, time=2.59
absolute error = 1.75e-29
relative error = 4.9424150987317722840005032926046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.707
y[1] (analytic) = 3.5457943506015185861641870245808
y[1] (numeric) = 3.5457943506015185861641870245632
absolute error = 1.76e-29
relative error = 4.9636268378097805368419198797807e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.708
y[1] (analytic) = 3.5508096184241515686057205281516
y[1] (numeric) = 3.550809618424151568605720528134
absolute error = 1.76e-29
relative error = 4.9566160654399927112249115183686e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.709
y[1] (analytic) = 3.5558248862467845510472540317224
y[1] (numeric) = 3.5558248862467845510472540317048
absolute error = 1.76e-29
relative error = 4.9496250695790054154403911918266e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 3.5608401540694175334887875352933
y[1] (numeric) = 3.5608401540694175334887875352756
absolute error = 1.77e-29
relative error = 4.9707370267019696430846751907481e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.711
y[1] (analytic) = 3.5658554218920505159303210388641
y[1] (numeric) = 3.5658554218920505159303210388464
absolute error = 1.77e-29
relative error = 4.9637458353845266478060750849946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.712
y[1] (analytic) = 3.5708706897146834983718545424349
y[1] (numeric) = 3.5708706897146834983718545424172
absolute error = 1.77e-29
relative error = 4.9567742822449416384692687997629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.713
y[1] (analytic) = 3.5758859575373164808133880460058
y[1] (numeric) = 3.575885957537316480813388045988
absolute error = 1.78e-29
relative error = 4.9777873823075484623183750573034e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.714
y[1] (analytic) = 3.5809012253599494632549215495766
y[1] (numeric) = 3.5809012253599494632549215495588
absolute error = 1.78e-29
relative error = 4.9708156912959132403823549241699e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.715
y[1] (analytic) = 3.5859164931825824456964550531475
y[1] (numeric) = 3.5859164931825824456964550531296
absolute error = 1.79e-29
relative error = 4.9917503751219100149313055192775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.716
y[1] (analytic) = 3.5909317610052154281379885567183
y[1] (numeric) = 3.5909317610052154281379885567004
absolute error = 1.79e-29
relative error = 4.9847786567209017607205076065412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.717
y[1] (analytic) = 3.5959470288278484105795220602891
y[1] (numeric) = 3.5959470288278484105795220602712
absolute error = 1.79e-29
relative error = 4.9778263852331459702592516684568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.718
y[1] (analytic) = 3.60096229665048139302105556386
y[1] (numeric) = 3.600962296650481393021055563842
absolute error = 1.80e-29
relative error = 4.9986638340376730748172221124089e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.719
y[1] (analytic) = 3.6059775644731143754625890674308
y[1] (numeric) = 3.6059775644731143754625890674128
absolute error = 1.80e-29
relative error = 4.9917115894840740858397294530037e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 3.6109928322957473579041225710016
y[1] (numeric) = 3.6109928322957473579041225709836
absolute error = 1.80e-29
relative error = 4.9847786567209017607205076065412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.721
y[1] (analytic) = 3.6160081001183803403456560745725
y[1] (numeric) = 3.6160081001183803403456560745544
absolute error = 1.81e-29
relative error = 5.0055197607017099511257246978305e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.722
y[1] (analytic) = 3.6210233679410133227871895781433
y[1] (numeric) = 3.6210233679410133227871895781252
absolute error = 1.81e-29
relative error = 4.9985869078475524581186253561438e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.723
y[1] (analytic) = 3.6260386357636463052287230817141
y[1] (numeric) = 3.626038635763646305228723081696
absolute error = 1.81e-29
relative error = 4.9916732330095890383978527069652e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.724
y[1] (analytic) = 3.631053903586279287670256585285
y[1] (numeric) = 3.6310539035862792876702565852668
absolute error = 1.82e-29
relative error = 5.0123188702939454168570849966325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.725
y[1] (analytic) = 3.6360691714089122701117900888558
y[1] (numeric) = 3.6360691714089122701117900888376
absolute error = 1.82e-29
relative error = 5.0054053270245744576614200518096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.726
y[1] (analytic) = 3.6410844392315452525533235924266
y[1] (numeric) = 3.6410844392315452525533235924084
absolute error = 1.82e-29
relative error = 4.9985108293289483220448065255675e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.727
y[1] (analytic) = 3.6460997070541782349948570959975
y[1] (numeric) = 3.6460997070541782349948570959792
absolute error = 1.83e-29
relative error = 5.0190618661894086504090943163523e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.728
y[1] (analytic) = 3.6511149748768112174363905995683
y[1] (numeric) = 3.65111497487681121743639059955
absolute error = 1.83e-29
relative error = 5.0121675504391484736914994065771e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.729
y[1] (analytic) = 3.6561302426994441998779241031392
y[1] (numeric) = 3.6561302426994441998779241031208
absolute error = 1.84e-29
relative error = 5.0326434723547101452541750321183e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 3.66114551052207718231945760671
y[1] (numeric) = 3.6611455105220771823194576066916
absolute error = 1.84e-29
relative error = 5.0257494402007995834113610937182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.731
y[1] (analytic) = 3.6661607783447101647609911102808
y[1] (numeric) = 3.6661607783447101647609911102624
absolute error = 1.84e-29
relative error = 5.0188742699679667522439036914013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.732
y[1] (analytic) = 3.6711760461673431472025246138517
y[1] (numeric) = 3.6711760461673431472025246138332
absolute error = 1.85e-29
relative error = 5.0392571119856110695808410230061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.733
y[1] (analytic) = 3.6761913139899761296440581174225
y[1] (numeric) = 3.676191313989976129644058117404
absolute error = 1.85e-29
relative error = 5.0323822728150986397451236409829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.734
y[1] (analytic) = 3.6812065818126091120855916209933
y[1] (numeric) = 3.6812065818126091120855916209748
absolute error = 1.85e-29
relative error = 5.0255261661763859712986043989653e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.735
y[1] (analytic) = 3.6862218496352420945271251245642
y[1] (numeric) = 3.6862218496352420945271251245456
absolute error = 1.86e-29
relative error = 5.0458167627215658639130036180498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.736
y[1] (analytic) = 3.691237117457875076968658628135
y[1] (numeric) = 3.6912371174578750769686586281164
absolute error = 1.86e-29
relative error = 5.0389610334243898233370348631340e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.737
y[1] (analytic) = 3.6962523852805080594101921317058
y[1] (numeric) = 3.6962523852805080594101921316872
absolute error = 1.86e-29
relative error = 5.0321239085486443825998068646766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.738
y[1] (analytic) = 3.7012676531031410418517256352767
y[1] (numeric) = 3.701267653103141041851725635258
absolute error = 1.87e-29
relative error = 5.0523230829637324078847421269550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.739
y[1] (analytic) = 3.7062829209257740242932591388475
y[1] (numeric) = 3.7062829209257740242932591388288
absolute error = 1.87e-29
relative error = 5.0454863805510615927184569549294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 3.7112981887484070067347926424183
y[1] (numeric) = 3.7112981887484070067347926423996
absolute error = 1.87e-29
relative error = 5.0386681557124790770526212022876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.741
y[1] (analytic) = 3.7163134565710399891763261459892
y[1] (numeric) = 3.7163134565710399891763261459704
absolute error = 1.88e-29
relative error = 5.0587767204509016519052924697962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.742
y[1] (analytic) = 3.72132872439367297161785964956
y[1] (numeric) = 3.7213287243936729716178596495412
absolute error = 1.88e-29
relative error = 5.0519589620675446415927516443652e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.743
y[1] (analytic) = 3.7263439922163059540593931531309
y[1] (numeric) = 3.726343992216305954059393153112
absolute error = 1.89e-29
relative error = 5.0719955107415904860090225444752e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.744
y[1] (analytic) = 3.7313592600389389365009266567017
y[1] (numeric) = 3.7313592600389389365009266566828
absolute error = 1.89e-29
relative error = 5.0651783124744646923450319227757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.745
y[1] (analytic) = 3.7363745278615719189424601602725
y[1] (numeric) = 3.7363745278615719189424601602536
absolute error = 1.89e-29
relative error = 5.0583794154107405786640318799264e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.746
y[1] (analytic) = 3.7413897956842049013839936638434
y[1] (numeric) = 3.7413897956842049013839936638244
absolute error = 1.90e-29
relative error = 5.0783267816459588983211605643046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.747
y[1] (analytic) = 3.7464050635068378838255271674142
y[1] (numeric) = 3.7464050635068378838255271673952
absolute error = 1.90e-29
relative error = 5.0715284860881999171989100146871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.748
y[1] (analytic) = 3.751420331329470866267060670985
y[1] (numeric) = 3.751420331329470866267060670966
absolute error = 1.90e-29
relative error = 5.0647483677912905590208366055766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.749
y[1] (analytic) = 3.7564355991521038487085941745559
y[1] (numeric) = 3.7564355991521038487085941745368
absolute error = 1.91e-29
relative error = 5.0846073347593710883717861300366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 3.7614508669747368311501276781267
y[1] (numeric) = 3.7614508669747368311501276781076
absolute error = 1.91e-29
relative error = 5.0778278583130252602539570818633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.751
y[1] (analytic) = 3.7664661347973698135916611816975
y[1] (numeric) = 3.7664661347973698135916611816784
absolute error = 1.91e-29
relative error = 5.0710664363978281560458958873469e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.752
y[1] (analytic) = 3.7714814026200027960331946852684
y[1] (numeric) = 3.7714814026200027960331946852492
absolute error = 1.92e-29
relative error = 5.0908377770766656279698801088080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.753
y[1] (analytic) = 3.7764966704426357784747281888392
y[1] (numeric) = 3.77649667044263577847472818882
absolute error = 1.92e-29
relative error = 5.0840770363368559790615535747990e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.754
y[1] (analytic) = 3.78151193826526876091626169241
y[1] (numeric) = 3.7815119382652687609162616923908
absolute error = 1.92e-29
relative error = 5.0773342285963561700707557583868e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.755
y[1] (analytic) = 3.7865272060879017433577951959809
y[1] (numeric) = 3.7865272060879017433577951959616
absolute error = 1.93e-29
relative error = 5.0970187059450810056638832745030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.756
y[1] (analytic) = 3.7915424739105347257993286995517
y[1] (numeric) = 3.7915424739105347257993286995324
absolute error = 1.93e-29
relative error = 5.0902766177097039143865500955685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.757
y[1] (analytic) = 3.7965577417331677082408622031225
y[1] (numeric) = 3.7965577417331677082408622031032
absolute error = 1.93e-29
relative error = 5.0835523421248826410518254587184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.758
y[1] (analytic) = 3.8015730095558006906823957066934
y[1] (numeric) = 3.801573009555800690682395706674
absolute error = 1.94e-29
relative error = 5.1031507092551711956716542251662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.759
y[1] (analytic) = 3.8065882773784336731239292102642
y[1] (numeric) = 3.8065882773784336731239292102448
absolute error = 1.94e-29
relative error = 5.0964271905341498897485031655810e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 3.8116035452010666555654627138351
y[1] (numeric) = 3.8116035452010666555654627138156
absolute error = 1.95e-29
relative error = 5.1159570424240833860026262277659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.761
y[1] (analytic) = 3.8166188130236996380069962174059
y[1] (numeric) = 3.8166188130236996380069962173864
absolute error = 1.95e-29
relative error = 5.1092343656272054840499289528280e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.762
y[1] (analytic) = 3.8216340808463326204485297209767
y[1] (numeric) = 3.8216340808463326204485297209572
absolute error = 1.95e-29
relative error = 5.1025293336513167629422518807115e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.763
y[1] (analytic) = 3.8266493486689656028900632245476
y[1] (numeric) = 3.826649348668965602890063224528
absolute error = 1.96e-29
relative error = 5.1219743995664311669788702012166e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=45.7MB, alloc=3.9MB, time=2.83
x[1] = 0.764
y[1] (analytic) = 3.8316646164915985853315967281184
y[1] (numeric) = 3.8316646164915985853315967280988
absolute error = 1.96e-29
relative error = 5.1152702445931766759226151355082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.765
y[1] (analytic) = 3.8366798843142315677731302316892
y[1] (numeric) = 3.8366798843142315677731302316696
absolute error = 1.96e-29
relative error = 5.1085836168224666410521280568998e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.766
y[1] (analytic) = 3.8416951521368645502146637352601
y[1] (numeric) = 3.8416951521368645502146637352404
absolute error = 1.97e-29
relative error = 5.1279446233630164326994255795750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.767
y[1] (analytic) = 3.8467104199594975326561972388309
y[1] (numeric) = 3.8467104199594975326561972388112
absolute error = 1.97e-29
relative error = 5.1212589067745379236607040338389e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.768
y[1] (analytic) = 3.8517256877821305150977307424017
y[1] (numeric) = 3.851725687782130515097730742382
absolute error = 1.97e-29
relative error = 5.1145906009063419107392708254616e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.769
y[1] (analytic) = 3.8567409556047634975392642459726
y[1] (numeric) = 3.8567409556047634975392642459528
absolute error = 1.98e-29
relative error = 5.1338682654394722945261924894416e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 3.8617562234273964799807977495434
y[1] (numeric) = 3.8617562234273964799807977495236
absolute error = 1.98e-29
relative error = 5.1272009040557846681696649667281e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.771
y[1] (analytic) = 3.8667714912500294624223312531142
y[1] (numeric) = 3.8667714912500294624223312530944
absolute error = 1.98e-29
relative error = 5.1205508380323660110125058681980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.772
y[1] (analytic) = 3.8717867590726624448638647566851
y[1] (numeric) = 3.8717867590726624448638647566652
absolute error = 1.99e-29
relative error = 5.1397458688469401574268446305787e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.773
y[1] (analytic) = 3.8768020268952954273053982602559
y[1] (numeric) = 3.876802026895295427305398260236
absolute error = 1.99e-29
relative error = 5.1330967797539945686074049868135e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.774
y[1] (analytic) = 3.8818172947179284097469317638268
y[1] (numeric) = 3.8818172947179284097469317638068
absolute error = 2.00e-29
relative error = 5.1522260017787098302020750455205e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.775
y[1] (analytic) = 3.8868325625405613921884652673976
y[1] (numeric) = 3.8868325625405613921884652673776
absolute error = 2.00e-29
relative error = 5.1455779682280276239695562390102e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.776
y[1] (analytic) = 3.8918478303631943746299987709684
y[1] (numeric) = 3.8918478303631943746299987709484
absolute error = 2.00e-29
relative error = 5.1389470687844348048665026871559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.777
y[1] (analytic) = 3.8968630981858273570715322745393
y[1] (numeric) = 3.8968630981858273570715322745192
absolute error = 2.01e-29
relative error = 5.1579949034795431346451584500117e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.778
y[1] (analytic) = 3.9018783660084603395130657781101
y[1] (numeric) = 3.90187836600846033951306577809
absolute error = 2.01e-29
relative error = 5.1513650899789267552947148016184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.779
y[1] (analytic) = 3.9068936338310933219545992816809
y[1] (numeric) = 3.9068936338310933219545992816608
absolute error = 2.01e-29
relative error = 5.1447522978223427671621156812056e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 3.9119089016537263043961327852518
y[1] (numeric) = 3.9119089016537263043961327852316
absolute error = 2.02e-29
relative error = 5.1637194290134469521309873667760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.781
y[1] (analytic) = 3.9169241694763592868376662888226
y[1] (numeric) = 3.9169241694763592868376662888024
absolute error = 2.02e-29
relative error = 5.1571077524077959317057236185471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.782
y[1] (analytic) = 3.9219394372989922692791997923934
y[1] (numeric) = 3.9219394372989922692791997923732
absolute error = 2.02e-29
relative error = 5.1505129854609828934298850972958e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.783
y[1] (analytic) = 3.9269547051216252517207332959643
y[1] (numeric) = 3.926954705121625251720733295944
absolute error = 2.03e-29
relative error = 5.1694000884513055296360819623390e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.784
y[1] (analytic) = 3.9319699729442582341622667995351
y[1] (numeric) = 3.9319699729442582341622667995148
absolute error = 2.03e-29
relative error = 5.1628064658895053950319543067748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.785
y[1] (analytic) = 3.9369852407668912166038003031059
y[1] (numeric) = 3.9369852407668912166038003030856
absolute error = 2.03e-29
relative error = 5.1562296423660792735096206070210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.786
y[1] (analytic) = 3.9420005085895241990453338066768
y[1] (numeric) = 3.9420005085895241990453338066564
absolute error = 2.04e-29
relative error = 5.1750373840766613699083132403786e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.787
y[1] (analytic) = 3.9470157764121571814868673102476
y[1] (numeric) = 3.9470157764121571814868673102272
absolute error = 2.04e-29
relative error = 5.1684617330168435028563331727289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.788
y[1] (analytic) = 3.9520310442347901639284008138185
y[1] (numeric) = 3.952031044234790163928400813798
absolute error = 2.05e-29
relative error = 5.1872062163846947256228632453854e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.789
y[1] (analytic) = 3.9570463120574231463699343173893
y[1] (numeric) = 3.9570463120574231463699343173688
absolute error = 2.05e-29
relative error = 5.1806318105337635536005275505244e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 3.9620615798800561288114678209601
y[1] (numeric) = 3.9620615798800561288114678209396
absolute error = 2.05e-29
relative error = 5.1740740487482777769504003004605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.791
y[1] (analytic) = 3.967076847702689111253001324531
y[1] (numeric) = 3.9670768477026891112530013245104
absolute error = 2.06e-29
relative error = 5.1927403453072352096506931324777e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.792
y[1] (analytic) = 3.9720921155253220936945348281018
y[1] (numeric) = 3.9720921155253220936945348280812
absolute error = 2.06e-29
relative error = 5.1861838549722513268102250855933e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.793
y[1] (analytic) = 3.9771073833479550761360683316726
y[1] (numeric) = 3.977107383347955076136068331652
absolute error = 2.06e-29
relative error = 5.1796439005523619808747771346658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.794
y[1] (analytic) = 3.9821226511705880585776018352435
y[1] (numeric) = 3.9821226511705880585776018352228
absolute error = 2.07e-29
relative error = 5.1982326546157514582828467231940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.795
y[1] (analytic) = 3.9871379189932210410191353388143
y[1] (numeric) = 3.9871379189932210410191353387936
absolute error = 2.07e-29
relative error = 5.1916939971885618338070192430391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.796
y[1] (analytic) = 3.9921531868158540234606688423851
y[1] (numeric) = 3.9921531868158540234606688423644
absolute error = 2.07e-29
relative error = 5.1851717685488777109002265052967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.797
y[1] (analytic) = 3.997168454638487005902202345956
y[1] (numeric) = 3.9971684546384870059022023459352
absolute error = 2.08e-29
relative error = 5.2036836165518071078035913784721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.798
y[1] (analytic) = 4.0021837224611199883437358495268
y[1] (numeric) = 4.002183722461119988343735849506
absolute error = 2.08e-29
relative error = 5.1971627097641482016534615647146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.799
y[1] (analytic) = 4.0071989902837529707852693530976
y[1] (numeric) = 4.0071989902837529707852693530768
absolute error = 2.08e-29
relative error = 5.1906581256467963265575248168239e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 4.0122142581063859532268028566685
y[1] (numeric) = 4.0122142581063859532268028566476
absolute error = 2.09e-29
relative error = 5.2090936962733423399529304488355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.801
y[1] (analytic) = 4.0172295259290189356683363602393
y[1] (numeric) = 4.0172295259290189356683363602184
absolute error = 2.09e-29
relative error = 5.2025904582005916004523649925948e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.802
y[1] (analytic) = 4.0222447937516519181098698638102
y[1] (numeric) = 4.0222447937516519181098698637892
absolute error = 2.10e-29
relative error = 5.2209651766154083279366912587214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.803
y[1] (analytic) = 4.027260061574284900551403367381
y[1] (numeric) = 4.02726006157428490055140336736
absolute error = 2.10e-29
relative error = 5.2144633519869956151995347316246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.804
y[1] (analytic) = 4.0322753293969178829929368709518
y[1] (numeric) = 4.0322753293969178829929368709308
absolute error = 2.10e-29
relative error = 5.2079777010516884067229183948938e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.805
y[1] (analytic) = 4.0372905972195508654344703745227
y[1] (numeric) = 4.0372905972195508654344703745016
absolute error = 2.11e-29
relative error = 5.2262772500278771255256005216406e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.806
y[1] (analytic) = 4.0423058650421838478760038780935
y[1] (numeric) = 4.0423058650421838478760038780724
absolute error = 2.11e-29
relative error = 5.2197930350774703300845017616883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.807
y[1] (analytic) = 4.0473211328648168303175373816643
y[1] (numeric) = 4.0473211328648168303175373816432
absolute error = 2.11e-29
relative error = 5.2133248900525911846940624782166e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.808
y[1] (analytic) = 4.0523364006874498127590708852352
y[1] (numeric) = 4.052336400687449812759070885214
absolute error = 2.12e-29
relative error = 5.2315498773506493726373644187462e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.809
y[1] (analytic) = 4.057351668510082795200604388806
y[1] (numeric) = 4.0573516685100827952006043887848
absolute error = 2.12e-29
relative error = 5.2250831902340231064165518545697e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 4.0623669363327157776421378923768
y[1] (numeric) = 4.0623669363327157776421378923556
absolute error = 2.12e-29
relative error = 5.2186324702460798680135684572185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.811
y[1] (analytic) = 4.0673822041553487600836713959477
y[1] (numeric) = 4.0673822041553487600836713959264
absolute error = 2.13e-29
relative error = 5.2367834963331791616940474485488e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.812
y[1] (analytic) = 4.0723974719779817425252048995185
y[1] (numeric) = 4.0723974719779817425252048994972
absolute error = 2.13e-29
relative error = 5.2303342555741481528742271930703e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.813
y[1] (analytic) = 4.0774127398006147249667384030893
y[1] (numeric) = 4.077412739800614724966738403068
absolute error = 2.13e-29
relative error = 5.2239008801060372695373585249362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.814
y[1] (analytic) = 4.0824280076232477074082719066602
y[1] (numeric) = 4.0824280076232477074082719066388
absolute error = 2.14e-29
relative error = 5.2419785382716116795783224953308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.815
y[1] (analytic) = 4.087443275445880689849805410231
y[1] (numeric) = 4.0874432754458806898498054102096
absolute error = 2.14e-29
relative error = 5.2355466627645299474561405045390e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.816
y[1] (analytic) = 4.0924585432685136722913389138018
y[1] (numeric) = 4.0924585432685136722913389137804
absolute error = 2.14e-29
relative error = 5.2291305516582008666381795480384e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.817
y[1] (analytic) = 4.0974738110911466547328724173727
y[1] (numeric) = 4.0974738110911466547328724173512
absolute error = 2.15e-29
relative error = 5.2471354281272650112847448489907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.818
y[1] (analytic) = 4.1024890789137796371744059209435
y[1] (numeric) = 4.102489078913779637174405920922
absolute error = 2.15e-29
relative error = 5.2407208371393343694616583638453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.819
y[1] (analytic) = 4.1075043467364126196159394245144
y[1] (numeric) = 4.1075043467364126196159394244928
absolute error = 2.16e-29
relative error = 5.2586675939033688904304256069005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 4.1125196145590456020574729280852
y[1] (numeric) = 4.1125196145590456020574729280636
absolute error = 2.16e-29
relative error = 5.2522545846425111234908763073800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.821
y[1] (analytic) = 4.117534882381678584499006431656
y[1] (numeric) = 4.1175348823816785844990064316344
absolute error = 2.16e-29
relative error = 5.2458571978159063596376596492711e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=49.5MB, alloc=3.9MB, time=3.06
TOP MAIN SOLVE Loop
x[1] = 0.822
y[1] (analytic) = 4.1225501502043115669405399352269
y[1] (numeric) = 4.1225501502043115669405399352052
absolute error = 2.17e-29
relative error = 5.2637322068537016159433097353743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.823
y[1] (analytic) = 4.1275654180269445493820734387977
y[1] (numeric) = 4.127565418026944549382073438776
absolute error = 2.17e-29
relative error = 5.2573364204541223916226009750641e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.824
y[1] (analytic) = 4.1325806858495775318236069423685
y[1] (numeric) = 4.1325806858495775318236069423468
absolute error = 2.17e-29
relative error = 5.2509561578079402042541269447546e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.825
y[1] (analytic) = 4.1375959536722105142651404459394
y[1] (numeric) = 4.1375959536722105142651404459176
absolute error = 2.18e-29
relative error = 5.2687599862553046489070092520047e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.826
y[1] (analytic) = 4.1426112214948434967066739495102
y[1] (numeric) = 4.1426112214948434967066739494884
absolute error = 2.18e-29
relative error = 5.2623813422041481057485261899563e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.827
y[1] (analytic) = 4.147626489317476479148207453081
y[1] (numeric) = 4.1476264893174764791482074530592
absolute error = 2.18e-29
relative error = 5.2560181241361866207355291812623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.828
y[1] (analytic) = 4.1526417571401094615897409566519
y[1] (numeric) = 4.15264175714010946158974095663
absolute error = 2.19e-29
relative error = 5.2737513324728380946753196417030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.829
y[1] (analytic) = 4.1576570249627424440312744602227
y[1] (numeric) = 4.1576570249627424440312744602008
absolute error = 2.19e-29
relative error = 5.2673897506483835252004398833897e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 4.1626722927853754264728079637935
y[1] (numeric) = 4.1626722927853754264728079637716
absolute error = 2.19e-29
relative error = 5.2610434979367589667363429678676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.831
y[1] (analytic) = 4.1676875606080084089143414673644
y[1] (numeric) = 4.1676875606080084089143414673424
absolute error = 2.20e-29
relative error = 5.2787066400895229235066747217283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.832
y[1] (analytic) = 4.1727028284306413913558749709352
y[1] (numeric) = 4.1727028284306413913558749709132
absolute error = 2.20e-29
relative error = 5.2723620407624922469159215069186e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.833
y[1] (analytic) = 4.1777180962532743737974084745061
y[1] (numeric) = 4.177718096253274373797408474484
absolute error = 2.21e-29
relative error = 5.2899691867242222766829876640845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.834
y[1] (analytic) = 4.1827333640759073562389419780769
y[1] (numeric) = 4.1827333640759073562389419780548
absolute error = 2.21e-29
relative error = 5.2836262980111236888212574630484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.835
y[1] (analytic) = 4.1877486318985403386804754816477
y[1] (numeric) = 4.1877486318985403386804754816256
absolute error = 2.21e-29
relative error = 5.2772986018458409059603936816556e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.836
y[1] (analytic) = 4.1927638997211733211220089852186
y[1] (numeric) = 4.1927638997211733211220089851964
absolute error = 2.22e-29
relative error = 5.2948366592920583295691516203451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.837
y[1] (analytic) = 4.1977791675438063035635424887894
y[1] (numeric) = 4.1977791675438063035635424887672
absolute error = 2.22e-29
relative error = 5.2885106895676950579687105789828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.838
y[1] (analytic) = 4.2027944353664392860050759923602
y[1] (numeric) = 4.202794435366439286005075992338
absolute error = 2.22e-29
relative error = 5.2821998176231035364198219028742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.839
y[1] (analytic) = 4.2078097031890722684466094959311
y[1] (numeric) = 4.2078097031890722684466094959088
absolute error = 2.23e-29
relative error = 5.2996693227592900721843775745348e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 4.2128249710117052508881429995019
y[1] (numeric) = 4.2128249710117052508881429994796
absolute error = 2.23e-29
relative error = 5.2933601926131480601936818869461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.841
y[1] (analytic) = 4.2178402388343382333296765030727
y[1] (numeric) = 4.2178402388343382333296765030504
absolute error = 2.23e-29
relative error = 5.2870660663436912848545693044409e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.842
y[1] (analytic) = 4.2228555066569712157712100066436
y[1] (numeric) = 4.2228555066569712157712100066212
absolute error = 2.24e-29
relative error = 5.3044675491946888095078085694310e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.843
y[1] (analytic) = 4.2278707744796041982127435102144
y[1] (numeric) = 4.227870774479604198212743510192
absolute error = 2.24e-29
relative error = 5.2981751796226903648939203030379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.844
y[1] (analytic) = 4.2328860423022371806542770137852
y[1] (numeric) = 4.2328860423022371806542770137628
absolute error = 2.24e-29
relative error = 5.2918977208790615848407284543376e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.845
y[1] (analytic) = 4.2379013101248701630958105173561
y[1] (numeric) = 4.2379013101248701630958105173336
absolute error = 2.25e-29
relative error = 5.3092317053832089759153335454285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.846
y[1] (analytic) = 4.2429165779475031455373440209269
y[1] (numeric) = 4.2429165779475031455373440209044
absolute error = 2.25e-29
relative error = 5.3029560177881933624686251133417e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.847
y[1] (analytic) = 4.2479318457701361279788775244978
y[1] (numeric) = 4.2479318457701361279788775244752
absolute error = 2.26e-29
relative error = 5.3202360161460391873569526284689e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.848
y[1] (analytic) = 4.2529471135927691104204110280686
y[1] (numeric) = 4.252947113592769110420411028046
absolute error = 2.26e-29
relative error = 5.3139621529194518769945033918788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.849
y[1] (analytic) = 4.2579623814154020928619445316394
y[1] (numeric) = 4.2579623814154020928619445316168
absolute error = 2.26e-29
relative error = 5.3077030691115373282583496776363e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 4.2629776492380350753034780352103
y[1] (numeric) = 4.2629776492380350753034780351876
absolute error = 2.27e-29
relative error = 5.3249164944736221161579069491051e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.851
y[1] (analytic) = 4.2679929170606680577450115387811
y[1] (numeric) = 4.2679929170606680577450115387584
absolute error = 2.27e-29
relative error = 5.3186592482991525249520809714916e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.852
y[1] (analytic) = 4.2730081848833010401865450423519
y[1] (numeric) = 4.2730081848833010401865450423292
absolute error = 2.27e-29
relative error = 5.3124166904959845055565973083796e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.853
y[1] (analytic) = 4.2780234527059340226280785459228
y[1] (numeric) = 4.2780234527059340226280785459
absolute error = 2.28e-29
relative error = 5.3295640503276229844983621772163e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.854
y[1] (analytic) = 4.2830387205285670050696120494936
y[1] (numeric) = 4.2830387205285670050696120494708
absolute error = 2.28e-29
relative error = 5.3233233430087381800668652660018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.855
y[1] (analytic) = 4.2880539883511999875111455530644
y[1] (numeric) = 4.2880539883511999875111455530416
absolute error = 2.28e-29
relative error = 5.3170972338356285447685414469773e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.856
y[1] (analytic) = 4.2930692561738329699526790566353
y[1] (numeric) = 4.2930692561738329699526790566124
absolute error = 2.29e-29
relative error = 5.3341790298555444074999824387753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.857
y[1] (analytic) = 4.2980845239964659523942125602061
y[1] (numeric) = 4.2980845239964659523942125601832
absolute error = 2.29e-29
relative error = 5.3279547836130058492648599388468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.858
y[1] (analytic) = 4.3030997918190989348357460637769
y[1] (numeric) = 4.303099791819098934835746063754
absolute error = 2.29e-29
relative error = 5.3217450461029673809090733888016e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.859
y[1] (analytic) = 4.3081150596417319172772795673478
y[1] (numeric) = 4.3081150596417319172772795673248
absolute error = 2.30e-29
relative error = 5.3387617743693010708531629779021e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 4.3131303274643648997188130709186
y[1] (numeric) = 4.3131303274643648997188130708956
absolute error = 2.30e-29
relative error = 5.3325539118409646742591476721138e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.861
y[1] (analytic) = 4.3181455952869978821603465744895
y[1] (numeric) = 4.3181455952869978821603465744664
absolute error = 2.31e-29
relative error = 5.3495185584321872554073740167758e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.862
y[1] (analytic) = 4.3231608631096308646018800780603
y[1] (numeric) = 4.3231608631096308646018800780372
absolute error = 2.31e-29
relative error = 5.3433126204293656924660661582878e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.863
y[1] (analytic) = 4.3281761309322638470434135816311
y[1] (numeric) = 4.328176130932263847043413581608
absolute error = 2.31e-29
relative error = 5.3371210646698878643172062902017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.864
y[1] (analytic) = 4.333191398754896829484947085202
y[1] (numeric) = 4.3331913987548968294849470851788
absolute error = 2.32e-29
relative error = 5.3540215201817092985516563181368e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.865
y[1] (analytic) = 4.3382066665775298119264805887728
y[1] (numeric) = 4.3382066665775298119264805887496
absolute error = 2.32e-29
relative error = 5.3478318999271639698828104726823e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.866
y[1] (analytic) = 4.3432219344001627943680140923436
y[1] (numeric) = 4.3432219344001627943680140923204
absolute error = 2.32e-29
relative error = 5.3416565744076175911647009917670e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.867
y[1] (analytic) = 4.3482372022227957768095475959145
y[1] (numeric) = 4.3482372022227957768095475958912
absolute error = 2.33e-29
relative error = 5.3584933195661827462416529288309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.868
y[1] (analytic) = 4.3532524700454287592510810994853
y[1] (numeric) = 4.353252470045428759251081099462
absolute error = 2.33e-29
relative error = 5.3523199401657608767183330521848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.869
y[1] (analytic) = 4.3582677378680617416926146030561
y[1] (numeric) = 4.3582677378680617416926146030328
absolute error = 2.33e-29
relative error = 5.3461607687731650644321209312962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 4.363283005690694724134148106627
y[1] (numeric) = 4.3632830056906947241341481066036
absolute error = 2.34e-29
relative error = 5.3629342789549012046372357697960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.871
y[1] (analytic) = 4.3682982735133277065756816101978
y[1] (numeric) = 4.3682982735133277065756816101744
absolute error = 2.34e-29
relative error = 5.3567770639388795040578589204622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.872
y[1] (analytic) = 4.3733135413359606890172151137686
y[1] (numeric) = 4.3733135413359606890172151137452
absolute error = 2.34e-29
relative error = 5.3506339709756468440761411923424e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.873
y[1] (analytic) = 4.3783288091585936714587486173395
y[1] (numeric) = 4.378328809158593671458748617316
absolute error = 2.35e-29
relative error = 5.3673447162859652406383472510294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.874
y[1] (analytic) = 4.3833440769812266539002821209103
y[1] (numeric) = 4.3833440769812266539002821208868
absolute error = 2.35e-29
relative error = 5.3612035896082925115300653891862e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.875
y[1] (analytic) = 4.3883593448038596363418156244812
y[1] (numeric) = 4.3883593448038596363418156244576
absolute error = 2.36e-29
relative error = 5.3778640593651785852801819206569e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.876
y[1] (analytic) = 4.393374612626492618783349128052
y[1] (numeric) = 4.3933746126264926187833491280284
absolute error = 2.36e-29
relative error = 5.3717249451421589750230127632133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.877
y[1] (analytic) = 4.3983898804491256012248826316228
y[1] (numeric) = 4.3983898804491256012248826315992
absolute error = 2.36e-29
relative error = 5.3655998311796251563513787691846e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.878
y[1] (analytic) = 4.4034051482717585836664161351937
y[1] (numeric) = 4.40340514827175858366641613517
absolute error = 2.37e-29
relative error = 5.3821983673934110127141699441925e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.879
y[1] (analytic) = 4.4084204160943915661079496387645
y[1] (numeric) = 4.4084204160943915661079496387408
absolute error = 2.37e-29
relative error = 5.3760752748252728886951549613209e-28 %
memory used=53.4MB, alloc=3.9MB, time=3.30
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 4.4134356839170245485494831423353
y[1] (numeric) = 4.4134356839170245485494831423116
absolute error = 2.37e-29
relative error = 5.3699660983766078058670922852285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.881
y[1] (analytic) = 4.4184509517396575309910166459062
y[1] (numeric) = 4.4184509517396575309910166458824
absolute error = 2.38e-29
relative error = 5.3865031568652650127195496497471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.882
y[1] (analytic) = 4.423466219562290513432550149477
y[1] (numeric) = 4.4234662195622905134325501494532
absolute error = 2.38e-29
relative error = 5.3803960104289098369681669403937e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.883
y[1] (analytic) = 4.4284814873849234958740836530478
y[1] (numeric) = 4.428481487384923495874083653024
absolute error = 2.38e-29
relative error = 5.3743026967138148088402301714918e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.884
y[1] (analytic) = 4.4334967552075564783156171566187
y[1] (numeric) = 4.4334967552075564783156171565948
absolute error = 2.39e-29
relative error = 5.3907787283090295059375625247210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.885
y[1] (analytic) = 4.4385120230301894607571506601895
y[1] (numeric) = 4.4385120230301894607571506601656
absolute error = 2.39e-29
relative error = 5.3846874529098102635579720585914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.886
y[1] (analytic) = 4.4435272908528224431986841637603
y[1] (numeric) = 4.4435272908528224431986841637364
absolute error = 2.39e-29
relative error = 5.3786099275679256018609540314373e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.887
y[1] (analytic) = 4.4485425586754554256402176673312
y[1] (numeric) = 4.4485425586754554256402176673072
absolute error = 2.40e-29
relative error = 5.3950253781872217477922066542046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.888
y[1] (analytic) = 4.453557826498088408081751170902
y[1] (numeric) = 4.453557826498088408081751170878
absolute error = 2.40e-29
relative error = 5.3889498991577316332113595746391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.889
y[1] (analytic) = 4.4585730943207213905232846744728
y[1] (numeric) = 4.4585730943207213905232846744488
absolute error = 2.40e-29
relative error = 5.3828880882475429587083096763550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 4.4635883621433543729648181780437
y[1] (numeric) = 4.4635883621433543729648181780196
absolute error = 2.41e-29
relative error = 5.3992433989651115700388419468603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.891
y[1] (analytic) = 4.4686036299659873554063516816145
y[1] (numeric) = 4.4686036299659873554063516815904
absolute error = 2.41e-29
relative error = 5.3931836420639161586246569390637e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.892
y[1] (analytic) = 4.4736188977886203378478851851854
y[1] (numeric) = 4.4736188977886203378478851851612
absolute error = 2.42e-29
relative error = 5.4094907395805301618581293308653e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.893
y[1] (analytic) = 4.4786341656112533202894186887562
y[1] (numeric) = 4.478634165611253320289418688732
absolute error = 2.42e-29
relative error = 5.4034330791778643945996095891734e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.894
y[1] (analytic) = 4.483649433433886302730952192327
y[1] (numeric) = 4.4836494334338863027309521923028
absolute error = 2.42e-29
relative error = 5.3973889705881799825251133815793e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.895
y[1] (analytic) = 4.4886647012565192851724856958979
y[1] (numeric) = 4.4886647012565192851724856958736
absolute error = 2.43e-29
relative error = 5.4136367087516385602461825626346e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.896
y[1] (analytic) = 4.4936799690791522676140191994687
y[1] (numeric) = 4.4936799690791522676140191994444
absolute error = 2.43e-29
relative error = 5.4075947034963353922101935195960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.897
y[1] (analytic) = 4.4986952369017852500555527030395
y[1] (numeric) = 4.4986952369017852500555527030152
absolute error = 2.43e-29
relative error = 5.4015661698246560885399480418708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.898
y[1] (analytic) = 4.5037105047244182324970862066104
y[1] (numeric) = 4.503710504724418232497086206586
absolute error = 2.44e-29
relative error = 5.4177549765697105996249614966416e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.899
y[1] (analytic) = 4.5087257725470512149386197101812
y[1] (numeric) = 4.5087257725470512149386197101568
absolute error = 2.44e-29
relative error = 5.4117285527915462941748781134418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 4.513741040369684197380153213752
y[1] (numeric) = 4.5137410403696841973801532137276
absolute error = 2.44e-29
relative error = 5.4057155210662223538480171377603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.901
y[1] (analytic) = 4.5187563081923171798216867173229
y[1] (numeric) = 4.5187563081923171798216867172984
absolute error = 2.45e-29
relative error = 5.4218458197408254445128717585020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.902
y[1] (analytic) = 4.5237715760149501622632202208937
y[1] (numeric) = 4.5237715760149501622632202208692
absolute error = 2.45e-29
relative error = 5.4158349041978755271686224550004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.903
y[1] (analytic) = 4.5287868438375831447047537244645
y[1] (numeric) = 4.52878684383758314470475372444
absolute error = 2.45e-29
relative error = 5.4098373018676453217121787977967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.904
y[1] (analytic) = 4.5338021116602161271462872280354
y[1] (numeric) = 4.5338021116602161271462872280108
absolute error = 2.46e-29
relative error = 5.4259095112979727129966587221643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.905
y[1] (analytic) = 4.5388173794828491095878207316062
y[1] (numeric) = 4.5388173794828491095878207315816
absolute error = 2.46e-29
relative error = 5.4199140311749915276784303699851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.906
y[1] (analytic) = 4.5438326473054820920293542351771
y[1] (numeric) = 4.5438326473054820920293542351524
absolute error = 2.47e-29
relative error = 5.4359396388965242158850568601133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.907
y[1] (analytic) = 4.5488479151281150744708877387479
y[1] (numeric) = 4.5488479151281150744708877387232
absolute error = 2.47e-29
relative error = 5.4299463206617981693405308878310e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.908
y[1] (analytic) = 4.5538631829507480569124212423187
y[1] (numeric) = 4.553863182950748056912421242294
absolute error = 2.47e-29
relative error = 5.4239662035685583035152659859722e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.909
y[1] (analytic) = 4.5588784507733810393539547458896
y[1] (numeric) = 4.5588784507733810393539547458648
absolute error = 2.48e-29
relative error = 5.4399344636602140227004879490526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 4.5638937185960140217954882494604
y[1] (numeric) = 4.5638937185960140217954882494356
absolute error = 2.48e-29
relative error = 5.4339565137001478534447731271306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.911
y[1] (analytic) = 4.5689089864186470042370217530312
y[1] (numeric) = 4.5689089864186470042370217530064
absolute error = 2.48e-29
relative error = 5.4279916876697415440557009283083e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.912
y[1] (analytic) = 4.5739242542412799866785552566021
y[1] (numeric) = 4.5739242542412799866785552565772
absolute error = 2.49e-29
relative error = 5.4439030066820374492079227808278e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.913
y[1] (analytic) = 4.5789395220639129691200887601729
y[1] (numeric) = 4.578939522063912969120088760148
absolute error = 2.49e-29
relative error = 5.4379403527864382844223719344086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.914
y[1] (analytic) = 4.5839547898865459515616222637437
y[1] (numeric) = 4.5839547898865459515616222637188
absolute error = 2.49e-29
relative error = 5.4319907462735428377216910023141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.915
y[1] (analytic) = 4.5889700577091789340031557673146
y[1] (numeric) = 4.5889700577091789340031557672896
absolute error = 2.50e-29
relative error = 5.4478455264709308860333416464931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.916
y[1] (analytic) = 4.5939853255318119164446892708854
y[1] (numeric) = 4.5939853255318119164446892708604
absolute error = 2.50e-29
relative error = 5.4418980968568796514416021905472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.917
y[1] (analytic) = 4.5990005933544448988862227744562
y[1] (numeric) = 4.5990005933544448988862227744312
absolute error = 2.50e-29
relative error = 5.4359636387359888339373038239272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.918
y[1] (analytic) = 4.6040158611770778813277562780271
y[1] (numeric) = 4.604015861177077881327756278002
absolute error = 2.51e-29
relative error = 5.4517622781566289409187250947357e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.919
y[1] (analytic) = 4.6090311289997108637692897815979
y[1] (numeric) = 4.6090311289997108637692897815728
absolute error = 2.51e-29
relative error = 5.4458300014665782021364413895184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 4.6140463968223438462108232851688
y[1] (numeric) = 4.6140463968223438462108232851436
absolute error = 2.52e-29
relative error = 5.4615835717115967117459474645581e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.921
y[1] (analytic) = 4.6190616646449768286523567887396
y[1] (numeric) = 4.6190616646449768286523567887144
absolute error = 2.52e-29
relative error = 5.4556535135447002983781451328920e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.922
y[1] (analytic) = 4.6240769324676098110938902923104
y[1] (numeric) = 4.6240769324676098110938902922852
absolute error = 2.52e-29
relative error = 5.4497363188445433566228543030299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.923
y[1] (analytic) = 4.6290922002902427935354237958813
y[1] (numeric) = 4.629092200290242793535423795856
absolute error = 2.53e-29
relative error = 5.4654344535228088644086172240733e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.924
y[1] (analytic) = 4.6341074681128757759769572994521
y[1] (numeric) = 4.6341074681128757759769572994268
absolute error = 2.53e-29
relative error = 5.4595194811705114522176988071641e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.925
y[1] (analytic) = 4.6391227359355087584184908030229
y[1] (numeric) = 4.6391227359355087584184908029976
absolute error = 2.53e-29
relative error = 5.4536172979476244128098958895348e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.926
y[1] (analytic) = 4.6441380037581417408600243065938
y[1] (numeric) = 4.6441380037581417408600243065684
absolute error = 2.54e-29
relative error = 5.4692603836160218022592178490775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.927
y[1] (analytic) = 4.6491532715807747233015578101646
y[1] (numeric) = 4.6491532715807747233015578101392
absolute error = 2.54e-29
relative error = 5.4633604263521425985890353055511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.928
y[1] (analytic) = 4.6541685394034077057430913137354
y[1] (numeric) = 4.65416853940340770574309131371
absolute error = 2.54e-29
relative error = 5.4574731845134010656164178106098e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.929
y[1] (analytic) = 4.6591838072260406881846248173063
y[1] (numeric) = 4.6591838072260406881846248172808
absolute error = 2.55e-29
relative error = 5.4730616037193969816306972644478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 4.6641990750486736706261583208771
y[1] (numeric) = 4.6641990750486736706261583208516
absolute error = 2.55e-29
relative error = 5.4671765912422793504676535039484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.931
y[1] (analytic) = 4.6692143428713066530676918244479
y[1] (numeric) = 4.6692143428713066530676918244224
absolute error = 2.55e-29
relative error = 5.4613042211120513382759589244598e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.932
y[1] (analytic) = 4.6742296106939396355092253280188
y[1] (numeric) = 4.6742296106939396355092253279932
absolute error = 2.56e-29
relative error = 5.4768383524487160976156650097620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.933
y[1] (analytic) = 4.6792448785165726179507588315896
y[1] (numeric) = 4.679244878516572617950758831564
absolute error = 2.56e-29
relative error = 5.4709682148791033258068593666647e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.934
y[1] (analytic) = 4.6842601463392056003922923351605
y[1] (numeric) = 4.6842601463392056003922923351348
absolute error = 2.57e-29
relative error = 5.4864587356628340578379891001331e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.935
y[1] (analytic) = 4.6892754141618385828338258387313
y[1] (numeric) = 4.6892754141618385828338258387056
absolute error = 2.57e-29
relative error = 5.4805908653573123101825474005608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.936
y[1] (analytic) = 4.6942906819844715652753593423021
y[1] (numeric) = 4.6942906819844715652753593422764
absolute error = 2.57e-29
relative error = 5.4747355332362040705349164738508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=57.2MB, alloc=3.9MB, time=3.54
x[1] = 0.937
y[1] (analytic) = 4.699305949807104547716892845873
y[1] (numeric) = 4.6993059498071045477168928458472
absolute error = 2.58e-29
relative error = 5.4901724372849206158629283350592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.938
y[1] (analytic) = 4.7043212176297375301584263494438
y[1] (numeric) = 4.704321217629737530158426349418
absolute error = 2.58e-29
relative error = 5.4843193749850433017735222280922e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.939
y[1] (analytic) = 4.7093364854523705125999598530146
y[1] (numeric) = 4.7093364854523705125999598529888
absolute error = 2.58e-29
relative error = 5.4784787792715342034755738551124e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 4.7143517532750034950414933565855
y[1] (numeric) = 4.7143517532750034950414933565596
absolute error = 2.59e-29
relative error = 5.4938624344285683235174956174219e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.941
y[1] (analytic) = 4.7193670210976364774830268601563
y[1] (numeric) = 4.7193670210976364774830268601304
absolute error = 2.59e-29
relative error = 5.4880241109063275495286353670315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.942
y[1] (analytic) = 4.7243822889202694599245603637271
y[1] (numeric) = 4.7243822889202694599245603637012
absolute error = 2.59e-29
relative error = 5.4821981829754291126395391511430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.943
y[1] (analytic) = 4.729397556742902442366093867298
y[1] (numeric) = 4.729397556742902442366093867272
absolute error = 2.60e-29
relative error = 5.4975289533295204996281314006392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.944
y[1] (analytic) = 4.7344128245655354248076273708688
y[1] (numeric) = 4.7344128245655354248076273708428
absolute error = 2.60e-29
relative error = 5.4917052997772646516412371936471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.945
y[1] (analytic) = 4.7394280923881684072491608744396
y[1] (numeric) = 4.7394280923881684072491608744136
absolute error = 2.60e-29
relative error = 5.4858939714177119906342094294210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.946
y[1] (analytic) = 4.7444433602108013896906943780105
y[1] (numeric) = 4.7444433602108013896906943779844
absolute error = 2.61e-29
relative error = 5.5011722173537224505203064917854e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.947
y[1] (analytic) = 4.7494586280334343721322278815813
y[1] (numeric) = 4.7494586280334343721322278815552
absolute error = 2.61e-29
relative error = 5.4953631653818600192103589664509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.948
y[1] (analytic) = 4.7544738958560673545737613851521
y[1] (numeric) = 4.754473895856067354573761385126
absolute error = 2.61e-29
relative error = 5.4895663687939044706668881236593e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.949
y[1] (analytic) = 4.759489163678700337015294888723
y[1] (numeric) = 4.7594891636787003370152948886968
absolute error = 2.62e-29
relative error = 5.5047924470426818179505710976345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 4.7645044315013333194568283922938
y[1] (numeric) = 4.7645044315013333194568283922676
absolute error = 2.62e-29
relative error = 5.4989979286773737318264126017423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.951
y[1] (analytic) = 4.7695196993239663018983618958647
y[1] (numeric) = 4.7695196993239663018983618958384
absolute error = 2.63e-29
relative error = 5.5141820682128166690620126204850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.952
y[1] (analytic) = 4.7745349671465992843398953994355
y[1] (numeric) = 4.7745349671465992843398953994092
absolute error = 2.63e-29
relative error = 5.5083898601579712734012331954636e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.953
y[1] (analytic) = 4.7795502349692322667814289030063
y[1] (numeric) = 4.77955023496923226678142890298
absolute error = 2.63e-29
relative error = 5.5026098078388128565351248710193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.954
y[1] (analytic) = 4.7845655027918652492229624065772
y[1] (numeric) = 4.7845655027918652492229624065508
absolute error = 2.64e-29
relative error = 5.5177424124709352823069769732782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.955
y[1] (analytic) = 4.789580770614498231664495910148
y[1] (numeric) = 4.7895807706144982316644959101216
absolute error = 2.64e-29
relative error = 5.5119646717248924181370220235681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.956
y[1] (analytic) = 4.7945960384371312141060294137188
y[1] (numeric) = 4.7945960384371312141060294136924
absolute error = 2.64e-29
relative error = 5.5061990183025860453147029628740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.957
y[1] (analytic) = 4.7996113062597641965475629172897
y[1] (numeric) = 4.7996113062597641965475629172632
absolute error = 2.65e-29
relative error = 5.5212804348214794841836343395336e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.958
y[1] (analytic) = 4.8046265740823971789890964208605
y[1] (numeric) = 4.804626574082397178989096420834
absolute error = 2.65e-29
relative error = 5.5155170940753192759537975604736e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.959
y[1] (analytic) = 4.8096418419050301614306299244313
y[1] (numeric) = 4.8096418419050301614306299244048
absolute error = 2.65e-29
relative error = 5.5097657728093387553323650291279e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 4.8146571097276631438721634280022
y[1] (numeric) = 4.8146571097276631438721634279756
absolute error = 2.66e-29
relative error = 5.5247963445323327847985625972498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.961
y[1] (analytic) = 4.819672377550296126313696931573
y[1] (numeric) = 4.8196723775502961263136969315464
absolute error = 2.66e-29
relative error = 5.5190473368897393063544433853900e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.962
y[1] (analytic) = 4.8246876453729291087552304351438
y[1] (numeric) = 4.8246876453729291087552304351172
absolute error = 2.66e-29
relative error = 5.5133102814459869785931601802078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.963
y[1] (analytic) = 4.8297029131955620911967639387147
y[1] (numeric) = 4.829702913195562091196763938688
absolute error = 2.67e-29
relative error = 5.5282903482636792112663573455721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.964
y[1] (analytic) = 4.8347181810181950736382974422855
y[1] (numeric) = 4.8347181810181950736382974422588
absolute error = 2.67e-29
relative error = 5.5225556072385094195534254396120e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.965
y[1] (analytic) = 4.8397334488408280560798309458564
y[1] (numeric) = 4.8397334488408280560798309458296
absolute error = 2.68e-29
relative error = 5.5374950466371053756397763256084e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.966
y[1] (analytic) = 4.8447487166634610385213644494272
y[1] (numeric) = 4.8447487166634610385213644494004
absolute error = 2.68e-29
relative error = 5.5317626501084955357064018159546e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.967
y[1] (analytic) = 4.849763984486094020962897952998
y[1] (numeric) = 4.8497639844860940209628979529712
absolute error = 2.68e-29
relative error = 5.5260421096223440408401077085958e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.968
y[1] (analytic) = 4.8547792523087270034044314565689
y[1] (numeric) = 4.854779252308727003404431456542
absolute error = 2.69e-29
relative error = 5.5409316473467874943546138271057e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.969
y[1] (analytic) = 4.8597945201313599858459649601397
y[1] (numeric) = 4.8597945201313599858459649601128
absolute error = 2.69e-29
relative error = 5.5352134516322913256297896642294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 4.8648097879539929682874984637105
y[1] (numeric) = 4.8648097879539929682874984636836
absolute error = 2.69e-29
relative error = 5.5295070460120518500363568913797e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.971
y[1] (analytic) = 4.8698250557766259507290319672814
y[1] (numeric) = 4.8698250557766259507290319672544
absolute error = 2.70e-29
relative error = 5.5443470126246899089373308085113e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.972
y[1] (analytic) = 4.8748403235992589331705654708522
y[1] (numeric) = 4.8748403235992589331705654708252
absolute error = 2.70e-29
relative error = 5.5386429519121130674672306739347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.973
y[1] (analytic) = 4.879855591421891915612098974423
y[1] (numeric) = 4.879855591421891915612098974396
absolute error = 2.70e-29
relative error = 5.5329506158875374116938830576203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.974
y[1] (analytic) = 4.8848708592445248980536324779939
y[1] (numeric) = 4.8848708592445248980536324779668
absolute error = 2.71e-29
relative error = 5.5477413386914348137792918331526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.975
y[1] (analytic) = 4.8898861270671578804951659815647
y[1] (numeric) = 4.8898861270671578804951659815376
absolute error = 2.71e-29
relative error = 5.5420513475748282139702874312725e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.976
y[1] (analytic) = 4.8949013948897908629366994851355
y[1] (numeric) = 4.8949013948897908629366994851084
absolute error = 2.71e-29
relative error = 5.5363730162760835129313834482487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.977
y[1] (analytic) = 4.8999166627124238453782329887064
y[1] (numeric) = 4.8999166627124238453782329886792
absolute error = 2.72e-29
relative error = 5.5511148193575651132691016130162e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.978
y[1] (analytic) = 4.9049319305350568278197664922772
y[1] (numeric) = 4.90493193053505682781976649225
absolute error = 2.72e-29
relative error = 5.5454388328347046172432640858045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.979
y[1] (analytic) = 4.9099471983576898102612999958481
y[1] (numeric) = 4.9099471983576898102612999958208
absolute error = 2.73e-29
relative error = 5.5601412595906279087914140003503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 4.9149624661803227927028334994189
y[1] (numeric) = 4.9149624661803227927028334993916
absolute error = 2.73e-29
relative error = 5.5544676460604333905171370472887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.981
y[1] (analytic) = 4.9199777340029557751443670029897
y[1] (numeric) = 4.9199777340029557751443670029624
absolute error = 2.73e-29
relative error = 5.5488055995303004308937760513180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.982
y[1] (analytic) = 4.9249930018255887575859005065606
y[1] (numeric) = 4.9249930018255887575859005065332
absolute error = 2.74e-29
relative error = 5.5634596820428801728611775323514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.983
y[1] (analytic) = 4.9300082696482217400274340101314
y[1] (numeric) = 4.930008269648221740027434010104
absolute error = 2.74e-29
relative error = 5.5578000079004153914035364565301e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.984
y[1] (analytic) = 4.9350235374708547224689675137022
y[1] (numeric) = 4.9350235374708547224689675136748
absolute error = 2.74e-29
relative error = 5.5521518371606791969000775780175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.985
y[1] (analytic) = 4.9400388052934877049105010172731
y[1] (numeric) = 4.9400388052934877049105010172456
absolute error = 2.75e-29
relative error = 5.5667578907543065348147800682185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.986
y[1] (analytic) = 4.9450540731161206873520345208439
y[1] (numeric) = 4.9450540731161206873520345208164
absolute error = 2.75e-29
relative error = 5.5611120916764624105401200478654e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.987
y[1] (analytic) = 4.9500693409387536697935680244147
y[1] (numeric) = 4.9500693409387536697935680243872
absolute error = 2.75e-29
relative error = 5.5554777329209644749671310711199e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.988
y[1] (analytic) = 4.9550846087613866522351015279856
y[1] (numeric) = 4.955084608761386652235101527958
absolute error = 2.76e-29
relative error = 5.5700360698581736273638060704670e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.989
y[1] (analytic) = 4.9600998765840196346766350315564
y[1] (numeric) = 4.9600998765840196346766350315288
absolute error = 2.76e-29
relative error = 5.5644040819210066166182410491623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 4.9651151444066526171181685351272
y[1] (numeric) = 4.9651151444066526171181685350996
absolute error = 2.76e-29
relative error = 5.5587834717372480240762024218399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.991
y[1] (analytic) = 4.9701304122292855995597020386981
y[1] (numeric) = 4.9701304122292855995597020386704
absolute error = 2.77e-29
relative error = 5.5732944012580818878691447306232e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.992
y[1] (analytic) = 4.9751456800519185820012355422689
y[1] (numeric) = 4.9751456800519185820012355422412
absolute error = 2.77e-29
relative error = 5.5676761609342330149983088992416e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.993
y[1] (analytic) = 4.9801609478745515644427690458398
y[1] (numeric) = 4.980160947874551564442769045812
absolute error = 2.78e-29
relative error = 5.5821489086340813272116862623099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.994
y[1] (analytic) = 4.9851762156971845468843025494106
y[1] (numeric) = 4.9851762156971845468843025493828
absolute error = 2.78e-29
relative error = 5.5765330646616124325163022721064e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=61.0MB, alloc=3.9MB, time=3.79
TOP MAIN SOLVE Loop
x[1] = 0.995
y[1] (analytic) = 4.9901914835198175293258360529814
y[1] (numeric) = 4.9901914835198175293258360529536
absolute error = 2.78e-29
relative error = 5.5709285088177314149961853854008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.996
y[1] (analytic) = 4.9952067513424505117673695565523
y[1] (numeric) = 4.9952067513424505117673695565244
absolute error = 2.79e-29
relative error = 5.5853543984945043824940627398594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.997
y[1] (analytic) = 5.0002220191650834942089030601231
y[1] (numeric) = 5.0002220191650834942089030600952
absolute error = 2.79e-29
relative error = 5.5797522376133664643571579627883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.998
y[1] (analytic) = 5.0052372869877164766504365636939
y[1] (numeric) = 5.005237286987716476650436563666
absolute error = 2.79e-29
relative error = 5.5741613035075414478598061011022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 0.999
y[1] (analytic) = 5.0102525548103494590919700672648
y[1] (numeric) = 5.0102525548103494590919700672368
absolute error = 2.80e-29
relative error = 5.5885406361635735455525210403665e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 5.0152678226329824415335035708356
y[1] (numeric) = 5.0152678226329824415335035708076
absolute error = 2.80e-29
relative error = 5.5829520955274099720069685193261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.001
y[1] (analytic) = 5.0202830904556154239750370744064
y[1] (numeric) = 5.0202830904556154239750370743784
absolute error = 2.80e-29
relative error = 5.5773747208066033686383301891370e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.002
y[1] (analytic) = 5.0252983582782484064165705779773
y[1] (numeric) = 5.0252983582782484064165705779492
absolute error = 2.81e-29
relative error = 5.5917077945651632525447610276969e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.003
y[1] (analytic) = 5.0303136261008813888581040815481
y[1] (numeric) = 5.03031362610088138885810408152
absolute error = 2.81e-29
relative error = 5.5861328117191361705382358422256e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.004
y[1] (analytic) = 5.0353288939235143712996375851189
y[1] (numeric) = 5.0353288939235143712996375850908
absolute error = 2.81e-29
relative error = 5.5805689344166270707667834160880e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.005
y[1] (analytic) = 5.0403441617461473537411710886898
y[1] (numeric) = 5.0403441617461473537411710886616
absolute error = 2.82e-29
relative error = 5.5948560445583852597937637613716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.006
y[1] (analytic) = 5.0453594295687803361827045922606
y[1] (numeric) = 5.0453594295687803361827045922324
absolute error = 2.82e-29
relative error = 5.5892945574365578390583822864597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.007
y[1] (analytic) = 5.0503746973914133186242380958314
y[1] (numeric) = 5.0503746973914133186242380958032
absolute error = 2.82e-29
relative error = 5.5837441159693914459709360279826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.008
y[1] (analytic) = 5.0553899652140463010657715994023
y[1] (numeric) = 5.055389965214046301065771599374
absolute error = 2.83e-29
relative error = 5.5979855549683142789043795740125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.009
y[1] (analytic) = 5.0604052330366792835073051029731
y[1] (numeric) = 5.0604052330366792835073051029448
absolute error = 2.83e-29
relative error = 5.5924375018910414203524426269620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 5.065420500859312265948838606544
y[1] (numeric) = 5.0654205008593122659488386065156
absolute error = 2.84e-29
relative error = 5.6066421327078657427509867732978e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.011
y[1] (analytic) = 5.0704357686819452483903721101148
y[1] (numeric) = 5.0704357686819452483903721100864
absolute error = 2.84e-29
relative error = 5.6010964926161665679312528595754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.012
y[1] (analytic) = 5.0754510365045782308319056136856
y[1] (numeric) = 5.0754510365045782308319056136572
absolute error = 2.84e-29
relative error = 5.5955618122874944665795421354059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.013
y[1] (analytic) = 5.0804663043272112132734391172565
y[1] (numeric) = 5.080466304327211213273439117228
absolute error = 2.85e-29
relative error = 5.6097212918675498590536808207867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.014
y[1] (analytic) = 5.0854815721498441957149726208273
y[1] (numeric) = 5.0854815721498441957149726207988
absolute error = 2.85e-29
relative error = 5.6041890223489428079106298535078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.015
y[1] (analytic) = 5.0904968399724771781565061243981
y[1] (numeric) = 5.0904968399724771781565061243696
absolute error = 2.85e-29
relative error = 5.5986676538540177411048065728640e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.016
y[1] (analytic) = 5.095512107795110160598039627969
y[1] (numeric) = 5.0955121077951101605980396279404
absolute error = 2.86e-29
relative error = 5.6127822670164484392364770687826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.017
y[1] (analytic) = 5.1005273756177431430395731315398
y[1] (numeric) = 5.1005273756177431430395731315112
absolute error = 2.86e-29
relative error = 5.6072633070685463267101875141427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.018
y[1] (analytic) = 5.1055426434403761254811066351106
y[1] (numeric) = 5.105542643440376125481106635082
absolute error = 2.86e-29
relative error = 5.6017551898710330199059535381956e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.019
y[1] (analytic) = 5.1105579112630091079226401386815
y[1] (numeric) = 5.1105579112630091079226401386528
absolute error = 2.87e-29
relative error = 5.6158252187591709728234963025606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 5.1155731790856420903641736422523
y[1] (numeric) = 5.1155731790856420903641736422236
absolute error = 2.87e-29
relative error = 5.6103195077603874718697477767738e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.021
y[1] (analytic) = 5.1205884469082750728057071458231
y[1] (numeric) = 5.1205884469082750728057071457944
absolute error = 2.87e-29
relative error = 5.6048245816998973764026863195978e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.022
y[1] (analytic) = 5.125603714730908055247240649394
y[1] (numeric) = 5.1256037147309080552472406493652
absolute error = 2.88e-29
relative error = 5.6188503058145585404599068128527e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.023
y[1] (analytic) = 5.1306189825535410376887741529648
y[1] (numeric) = 5.130618982553541037688774152936
absolute error = 2.88e-29
relative error = 5.6133577835214846806940613516476e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.024
y[1] (analytic) = 5.1356342503761740201303076565357
y[1] (numeric) = 5.1356342503761740201303076565068
absolute error = 2.89e-29
relative error = 5.6273477804388305033133855401968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.025
y[1] (analytic) = 5.1406495181988070025718411601065
y[1] (numeric) = 5.1406495181988070025718411600776
absolute error = 2.89e-29
relative error = 5.6218576850432804247735676030845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.026
y[1] (analytic) = 5.1456647860214399850133746636773
y[1] (numeric) = 5.1456647860214399850133746636484
absolute error = 2.89e-29
relative error = 5.6163782915880725491158935605864e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.027
y[1] (analytic) = 5.1506800538440729674549081672482
y[1] (numeric) = 5.1506800538440729674549081672192
absolute error = 2.90e-29
relative error = 5.6303244808142609955557826909326e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.028
y[1] (analytic) = 5.155695321666705949896441670819
y[1] (numeric) = 5.15569532166670594989644167079
absolute error = 2.90e-29
relative error = 5.6248475114749475120970708400659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.029
y[1] (analytic) = 5.1607105894893389323379751743898
y[1] (numeric) = 5.1607105894893389323379751743608
absolute error = 2.90e-29
relative error = 5.6193811873627269605789978849250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 5.1657258573119719147795086779607
y[1] (numeric) = 5.1657258573119719147795086779316
absolute error = 2.91e-29
relative error = 5.6332838411875045140569619941883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.031
y[1] (analytic) = 5.1707411251346048972210421815315
y[1] (numeric) = 5.1707411251346048972210421815024
absolute error = 2.91e-29
relative error = 5.6278199383347523273313975305664e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.032
y[1] (analytic) = 5.1757563929572378796625756851023
y[1] (numeric) = 5.1757563929572378796625756850732
absolute error = 2.91e-29
relative error = 5.6223666244410171022080143934244e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.033
y[1] (analytic) = 5.1807716607798708621041091886732
y[1] (numeric) = 5.180771660779870862104109188644
absolute error = 2.92e-29
relative error = 5.6362260126331202870489379326622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.034
y[1] (analytic) = 5.185786928602503844545642692244
y[1] (numeric) = 5.1857869286025038445456426922148
absolute error = 2.92e-29
relative error = 5.6307751170696453157848673930755e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.035
y[1] (analytic) = 5.1908021964251368269871761958148
y[1] (numeric) = 5.1908021964251368269871761957856
absolute error = 2.92e-29
relative error = 5.6253347546376939676536742844832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.036
y[1] (analytic) = 5.1958174642477698094287096993857
y[1] (numeric) = 5.1958174642477698094287096993564
absolute error = 2.93e-29
relative error = 5.6391511444757691733247441263188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.037
y[1] (analytic) = 5.2008327320704027918702432029565
y[1] (numeric) = 5.2008327320704027918702432029272
absolute error = 2.93e-29
relative error = 5.6337131973740567633215380085499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.038
y[1] (analytic) = 5.2058479998930357743117767065274
y[1] (numeric) = 5.205847999893035774311776706498
absolute error = 2.94e-29
relative error = 5.6474948943196343647469334733067e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.039
y[1] (analytic) = 5.2108632677156687567533102100982
y[1] (numeric) = 5.2108632677156687567533102100688
absolute error = 2.94e-29
relative error = 5.6420593843154768725768209290591e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 5.215878535538301739194843713669
y[1] (numeric) = 5.2158785355383017391948437136396
absolute error = 2.94e-29
relative error = 5.6366343272151735294301124473966e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.041
y[1] (analytic) = 5.2208938033609347216363772172399
y[1] (numeric) = 5.2208938033609347216363772172104
absolute error = 2.95e-29
relative error = 5.6503735013743170774737742321984e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.042
y[1] (analytic) = 5.2259090711835677040779107208107
y[1] (numeric) = 5.2259090711835677040779107207812
absolute error = 2.95e-29
relative error = 5.6449508780524607271115153317837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.043
y[1] (analytic) = 5.2309243390062006865194442243815
y[1] (numeric) = 5.230924339006200686519444224352
absolute error = 2.95e-29
relative error = 5.6395386528577795567116001684742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.044
y[1] (analytic) = 5.2359396068288336689609777279524
y[1] (numeric) = 5.2359396068288336689609777279228
absolute error = 2.96e-29
relative error = 5.6532355647102947171389664809815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.045
y[1] (analytic) = 5.2409548746514666514025112315232
y[1] (numeric) = 5.2409548746514666514025112314936
absolute error = 2.96e-29
relative error = 5.6478257699115288848737617283682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.046
y[1] (analytic) = 5.245970142474099633844044735094
y[1] (numeric) = 5.2459701424740996338440447350644
absolute error = 2.96e-29
relative error = 5.6424263188886689146205363347465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.047
y[1] (analytic) = 5.2509854102967326162855782386649
y[1] (numeric) = 5.2509854102967326162855782386352
absolute error = 2.97e-29
relative error = 5.6560812265371836597287135019779e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.048
y[1] (analytic) = 5.2560006781193655987271117422357
y[1] (numeric) = 5.256000678119365598727111742206
absolute error = 2.97e-29
relative error = 5.6506842024660603928778273249723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.049
y[1] (analytic) = 5.2610159459419985811686452458065
y[1] (numeric) = 5.2610159459419985811686452457768
absolute error = 2.97e-29
relative error = 5.6452974682406399349246549443003e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 5.2660312137646315636101787493774
y[1] (numeric) = 5.2660312137646315636101787493476
absolute error = 2.98e-29
relative error = 5.6589106274393475226465191114258e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.051
y[1] (analytic) = 5.2710464815872645460517122529482
y[1] (numeric) = 5.2710464815872645460517122529184
absolute error = 2.98e-29
relative error = 5.6535263166615745944613178563246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.052
y[1] (analytic) = 5.2760617494098975284932457565191
y[1] (numeric) = 5.2760617494098975284932457564892
absolute error = 2.99e-29
relative error = 5.6671057732302267165605770888053e-28 %
Correct digits = 29
memory used=64.8MB, alloc=3.9MB, time=4.02
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.053
y[1] (analytic) = 5.2810770172325305109347792600899
y[1] (numeric) = 5.28107701723253051093477926006
absolute error = 2.99e-29
relative error = 5.6617239063990489134109469111332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.054
y[1] (analytic) = 5.2860922850551634933763127636607
y[1] (numeric) = 5.2860922850551634933763127636308
absolute error = 2.99e-29
relative error = 5.6563522518388980131135930715591e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.055
y[1] (analytic) = 5.2911075528777964758178462672316
y[1] (numeric) = 5.2911075528777964758178462672016
absolute error = 3.00e-29
relative error = 5.6698904152275659837579233439331e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.056
y[1] (analytic) = 5.2961228207004294582593797708024
y[1] (numeric) = 5.2961228207004294582593797707724
absolute error = 3.00e-29
relative error = 5.6645212008192065462733040983422e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.057
y[1] (analytic) = 5.3011380885230624407009132743732
y[1] (numeric) = 5.3011380885230624407009132743432
absolute error = 3.00e-29
relative error = 5.6591621457569367198340672921944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.058
y[1] (analytic) = 5.3061533563456954231424467779441
y[1] (numeric) = 5.306153356345695423142446777914
absolute error = 3.01e-29
relative error = 5.6726592653043154252433753858937e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.059
y[1] (analytic) = 5.3111686241683284055839802815149
y[1] (numeric) = 5.3111686241683284055839802814848
absolute error = 3.01e-29
relative error = 5.6673026465457655523205771088532e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 5.3161838919909613880255137850857
y[1] (numeric) = 5.3161838919909613880255137850556
absolute error = 3.01e-29
relative error = 5.6619561346150619999127275078072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.061
y[1] (analytic) = 5.3211991598135943704670472886566
y[1] (numeric) = 5.3211991598135943704670472886264
absolute error = 3.02e-29
relative error = 5.6754124574164461139965817047142e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.062
y[1] (analytic) = 5.3262144276362273529085807922274
y[1] (numeric) = 5.3262144276362273529085807921972
absolute error = 3.02e-29
relative error = 5.6700683778896886317800124187399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.063
y[1] (analytic) = 5.3312296954588603353501142957982
y[1] (numeric) = 5.331229695458860335350114295768
absolute error = 3.02e-29
relative error = 5.6647343530751169585610283995313e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.064
y[1] (analytic) = 5.3362449632814933177916477993691
y[1] (numeric) = 5.3362449632814933177916477993388
absolute error = 3.03e-29
relative error = 5.6781501240091474943545631758721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.065
y[1] (analytic) = 5.3412602311041263002331813029399
y[1] (numeric) = 5.3412602311041263002331813029096
absolute error = 3.03e-29
relative error = 5.6728185276485755248762959804018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.066
y[1] (analytic) = 5.3462754989267592826747148065107
y[1] (numeric) = 5.3462754989267592826747148064804
absolute error = 3.03e-29
relative error = 5.6674969342830515328266934513396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.067
y[1] (analytic) = 5.3512907667493922651162483100816
y[1] (numeric) = 5.3512907667493922651162483100512
absolute error = 3.04e-29
relative error = 5.6808723960380661115615156978014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.068
y[1] (analytic) = 5.3563060345720252475577818136524
y[1] (numeric) = 5.356306034572025247557781813622
absolute error = 3.04e-29
relative error = 5.6755532271279181095843981737398e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.069
y[1] (analytic) = 5.3613213023946582299993153172233
y[1] (numeric) = 5.3613213023946582299993153171928
absolute error = 3.05e-29
relative error = 5.6888961283437793714490358091489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 5.3663365702172912124408488207941
y[1] (numeric) = 5.3663365702172912124408488207636
absolute error = 3.05e-29
relative error = 5.6835794029901870542794572710096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.071
y[1] (analytic) = 5.3713518380399241948823823243649
y[1] (numeric) = 5.3713518380399241948823823243344
absolute error = 3.05e-29
relative error = 5.6782726061619982708487574976473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.072
y[1] (analytic) = 5.3763671058625571773239158279358
y[1] (numeric) = 5.3763671058625571773239158279052
absolute error = 3.06e-29
relative error = 5.6915756304350594730614751029910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.073
y[1] (analytic) = 5.3813823736851901597654493315066
y[1] (numeric) = 5.381382373685190159765449331476
absolute error = 3.06e-29
relative error = 5.6862712729043651026299173442744e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.074
y[1] (analytic) = 5.3863976415078231422069828350774
y[1] (numeric) = 5.3863976415078231422069828350468
absolute error = 3.06e-29
relative error = 5.6809767931344355261842656521475e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.075
y[1] (analytic) = 5.3914129093304561246485163386483
y[1] (numeric) = 5.3914129093304561246485163386176
absolute error = 3.07e-29
relative error = 5.6942401771658301043393333403093e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.076
y[1] (analytic) = 5.3964281771530891070900498422191
y[1] (numeric) = 5.3964281771530891070900498421884
absolute error = 3.07e-29
relative error = 5.6889481323915124183687577517031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.077
y[1] (analytic) = 5.4014434449757220895315833457899
y[1] (numeric) = 5.4014434449757220895315833457592
absolute error = 3.07e-29
relative error = 5.6836659149983912369218044018873e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.078
y[1] (analytic) = 5.4064587127983550719731168493608
y[1] (numeric) = 5.40645871279835507197311684933
absolute error = 3.08e-29
relative error = 5.6968898933953162979662944074756e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.079
y[1] (analytic) = 5.4114739806209880544146503529316
y[1] (numeric) = 5.4114739806209880544146503529008
absolute error = 3.08e-29
relative error = 5.6916101066544494617309224942157e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 5.4164892484436210368561838565024
y[1] (numeric) = 5.4164892484436210368561838564716
absolute error = 3.08e-29
relative error = 5.6863400972964360825996901585730e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.081
y[1] (analytic) = 5.4215045162662540192977173600733
y[1] (numeric) = 5.4215045162662540192977173600424
absolute error = 3.09e-29
relative error = 5.6995249025967017356619309913829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.082
y[1] (analytic) = 5.4265197840888870017392508636441
y[1] (numeric) = 5.4265197840888870017392508636132
absolute error = 3.09e-29
relative error = 5.6942573195074256712112268037753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.083
y[1] (analytic) = 5.431535051911519984180784367215
y[1] (numeric) = 5.431535051911519984180784367184
absolute error = 3.10e-29
relative error = 5.7074104656822882578886698357442e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.084
y[1] (analytic) = 5.4365503197341529666223178707858
y[1] (numeric) = 5.4365503197341529666223178707548
absolute error = 3.10e-29
relative error = 5.7021453268763082871710603617261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.085
y[1] (analytic) = 5.4415655875567859490638513743566
y[1] (numeric) = 5.4415655875567859490638513743256
absolute error = 3.10e-29
relative error = 5.6968898933953162979662944074757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.086
y[1] (analytic) = 5.4465808553794189315053848779275
y[1] (numeric) = 5.4465808553794189315053848778964
absolute error = 3.11e-29
relative error = 5.7100042808110513723170455456144e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.087
y[1] (analytic) = 5.4515961232020519139469183814983
y[1] (numeric) = 5.4515961232020519139469183814672
absolute error = 3.11e-29
relative error = 5.7047512869924579487914548873388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.088
y[1] (analytic) = 5.4566113910246848963884518850691
y[1] (numeric) = 5.456611391024684896388451885038
absolute error = 3.11e-29
relative error = 5.6995079494125016455296980354203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.089
y[1] (analytic) = 5.46162665884731787882998538864
y[1] (numeric) = 5.4616266588473178788299853886088
absolute error = 3.12e-29
relative error = 5.7125838049473695109083503149342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 5.4666419266699508612715188922108
y[1] (numeric) = 5.4666419266699508612715188921796
absolute error = 3.12e-29
relative error = 5.7073429023740233003478839384985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.091
y[1] (analytic) = 5.4716571944925838437130523957816
y[1] (numeric) = 5.4716571944925838437130523957504
absolute error = 3.12e-29
relative error = 5.7021116073214348280285916525788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.092
y[1] (analytic) = 5.4766724623152168261545858993525
y[1] (numeric) = 5.4766724623152168261545858993212
absolute error = 3.13e-29
relative error = 5.7151491558741474399469556074996e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.093
y[1] (analytic) = 5.4816877301378498085961194029233
y[1] (numeric) = 5.481687730137849808596119402892
absolute error = 3.13e-29
relative error = 5.7099202911386724651620087130737e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.094
y[1] (analytic) = 5.4867029979604827910376529064941
y[1] (numeric) = 5.4867029979604827910376529064628
absolute error = 3.13e-29
relative error = 5.7047009855709040259799593449631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.095
y[1] (analytic) = 5.491718265783115773479186410065
y[1] (numeric) = 5.4917182657831157734791864100336
absolute error = 3.14e-29
relative error = 5.7177004500835183666346644327084e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.096
y[1] (analytic) = 5.4967335336057487559207199136358
y[1] (numeric) = 5.4967335336057487559207199136044
absolute error = 3.14e-29
relative error = 5.7124835701108144265191218556713e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.097
y[1] (analytic) = 5.5017488014283817383622534172067
y[1] (numeric) = 5.5017488014283817383622534171752
absolute error = 3.15e-29
relative error = 5.7254522401716829703808929664921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.098
y[1] (analytic) = 5.5067640692510147208037869207775
y[1] (numeric) = 5.506764069251014720803786920746
absolute error = 3.15e-29
relative error = 5.7202378027944774303350087288177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.099
y[1] (analytic) = 5.5117793370736477032453204243483
y[1] (numeric) = 5.5117793370736477032453204243168
absolute error = 3.15e-29
relative error = 5.7150328548392504263037666826587e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 5.5167946048962806856868539279192
y[1] (numeric) = 5.5167946048962806856868539278876
absolute error = 3.16e-29
relative error = 5.7279638382683816595915651042436e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.101
y[1] (analytic) = 5.52180987271891366812838743149
y[1] (numeric) = 5.5218098727189136681283874314584
absolute error = 3.16e-29
relative error = 5.7227613279702269078571495137766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.102
y[1] (analytic) = 5.5268251405415466505699209350608
y[1] (numeric) = 5.5268251405415466505699209350292
absolute error = 3.16e-29
relative error = 5.7175682596145370467792392147623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.103
y[1] (analytic) = 5.5318404083641796330114544386317
y[1] (numeric) = 5.5318404083641796330114544386
absolute error = 3.17e-29
relative error = 5.7304617740000937738835935132314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.104
y[1] (analytic) = 5.5368556761868126154529879422025
y[1] (numeric) = 5.5368556761868126154529879421708
absolute error = 3.17e-29
relative error = 5.7252711383352386164797134466433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.105
y[1] (analytic) = 5.5418709440094455978945214457733
y[1] (numeric) = 5.5418709440094455978945214457416
absolute error = 3.17e-29
relative error = 5.7200898974860664548358404028002e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.106
y[1] (analytic) = 5.5468862118320785803360549493442
y[1] (numeric) = 5.5468862118320785803360549493124
absolute error = 3.18e-29
relative error = 5.7329461585433879201053215872698e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.107
y[1] (analytic) = 5.551901479654711562777588452915
y[1] (numeric) = 5.5519014796547115627775884528832
absolute error = 3.18e-29
relative error = 5.7277673453920388795270873310934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.108
y[1] (analytic) = 5.5569167474773445452191219564858
y[1] (numeric) = 5.556916747477344545219121956454
absolute error = 3.18e-29
relative error = 5.7225978802788691693470087324192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.109
y[1] (analytic) = 5.5619320152999775276606554600567
y[1] (numeric) = 5.5619320152999775276606554600248
absolute error = 3.19e-29
relative error = 5.7354171018718400781599348114937e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=68.6MB, alloc=3.9MB, time=4.27
x[1] = 1.11
y[1] (analytic) = 5.5669472831226105101021889636275
y[1] (numeric) = 5.5669472831226105101021889635956
absolute error = 3.19e-29
relative error = 5.7302500594377213033147456810329e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.111
y[1] (analytic) = 5.5719625509452434925437224671984
y[1] (numeric) = 5.5719625509452434925437224671664
absolute error = 3.20e-29
relative error = 5.7430393164741262409741221749529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.112
y[1] (analytic) = 5.5769778187678764749852559707692
y[1] (numeric) = 5.5769778187678764749852559707372
absolute error = 3.20e-29
relative error = 5.7378747127722610195343972449395e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.113
y[1] (analytic) = 5.58199308659050945742678947434
y[1] (numeric) = 5.581993086590509457426789474308
absolute error = 3.20e-29
relative error = 5.7327193895801925010981578943151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.114
y[1] (analytic) = 5.5870083544131424398683229779109
y[1] (numeric) = 5.5870083544131424398683229778788
absolute error = 3.21e-29
relative error = 5.7454719885364792286940141533203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.115
y[1] (analytic) = 5.5920236222357754223098564814817
y[1] (numeric) = 5.5920236222357754223098564814496
absolute error = 3.21e-29
relative error = 5.7403190988606617585337504634968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.116
y[1] (analytic) = 5.5970388900584084047513899850525
y[1] (numeric) = 5.5970388900584084047513899850204
absolute error = 3.21e-29
relative error = 5.7351754437541557892160678913969e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.117
y[1] (analytic) = 5.6020541578810413871929234886234
y[1] (numeric) = 5.6020541578810413871929234885912
absolute error = 3.22e-29
relative error = 5.7478915934257130419051153063787e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.118
y[1] (analytic) = 5.6070694257036743696344569921942
y[1] (numeric) = 5.607069425703674369634456992162
absolute error = 3.22e-29
relative error = 5.7427503665979619568944667238149e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.119
y[1] (analytic) = 5.612084693526307352075990495765
y[1] (numeric) = 5.6120846935263073520759904957328
absolute error = 3.22e-29
relative error = 5.7376183287368377728400480761618e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 5.6170999613489403345175239993359
y[1] (numeric) = 5.6170999613489403345175239993036
absolute error = 3.23e-29
relative error = 5.7502982361458973882597284175457e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.121
y[1] (analytic) = 5.6221152291715733169590575029067
y[1] (numeric) = 5.6221152291715733169590575028744
absolute error = 3.23e-29
relative error = 5.7451686213054460971016019872000e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.122
y[1] (analytic) = 5.6271304969942062994005910064775
y[1] (numeric) = 5.6271304969942062994005910064452
absolute error = 3.23e-29
relative error = 5.7400481501634626335569481529869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.123
y[1] (analytic) = 5.6321457648168392818421245100484
y[1] (numeric) = 5.632145764816839281842124510016
absolute error = 3.24e-29
relative error = 5.7526920205790638307157416367563e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.124
y[1] (analytic) = 5.6371610326394722642836580136192
y[1] (numeric) = 5.6371610326394722642836580135868
absolute error = 3.24e-29
relative error = 5.7475739671799721369161724715991e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.125
y[1] (analytic) = 5.64217630046210524672519151719
y[1] (numeric) = 5.6421763004621052467251915171576
absolute error = 3.24e-29
relative error = 5.7424650125424788283500247627355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.126
y[1] (analytic) = 5.6471915682847382291667250207609
y[1] (numeric) = 5.6471915682847382291667250207284
absolute error = 3.25e-29
relative error = 5.7550730495001530097128418192749e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.127
y[1] (analytic) = 5.6522068361073712116082585243317
y[1] (numeric) = 5.6522068361073712116082585242992
absolute error = 3.25e-29
relative error = 5.7499665073089372572641170261789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.128
y[1] (analytic) = 5.6572221039300041940497920279026
y[1] (numeric) = 5.65722210393000419404979202787
absolute error = 3.26e-29
relative error = 5.7625455393298367872159059564979e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.129
y[1] (analytic) = 5.6622373717526371764913255314734
y[1] (numeric) = 5.6622373717526371764913255314408
absolute error = 3.26e-29
relative error = 5.7574414245917235571120831877145e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 5.6672526395752701589328590350442
y[1] (numeric) = 5.6672526395752701589328590350116
absolute error = 3.26e-29
relative error = 5.7523463436850052176810105477254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.131
y[1] (analytic) = 5.6722679073979031413743925386151
y[1] (numeric) = 5.6722679073979031413743925385824
absolute error = 3.27e-29
relative error = 5.7648899053854460681011706006683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.132
y[1] (analytic) = 5.6772831752205361238159260421859
y[1] (numeric) = 5.6772831752205361238159260421532
absolute error = 3.27e-29
relative error = 5.7597972464584271228113285771695e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.133
y[1] (analytic) = 5.6822984430431691062574595457567
y[1] (numeric) = 5.682298443043169106257459545724
absolute error = 3.27e-29
relative error = 5.7547135772205997378838693286460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.134
y[1] (analytic) = 5.6873137108658020886989930493276
y[1] (numeric) = 5.6873137108658020886989930492948
absolute error = 3.28e-29
relative error = 5.7672218673878510670769894001605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.135
y[1] (analytic) = 5.6923289786884350711405265528984
y[1] (numeric) = 5.6923289786884350711405265528656
absolute error = 3.28e-29
relative error = 5.7621406146412538414672299381340e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.136
y[1] (analytic) = 5.6973442465110680535820600564692
y[1] (numeric) = 5.6973442465110680535820600564364
absolute error = 3.28e-29
relative error = 5.7570683077621682306912904751603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.137
y[1] (analytic) = 5.7023595143337010360235935600401
y[1] (numeric) = 5.7023595143337010360235935600072
absolute error = 3.29e-29
relative error = 5.7695415235221694961373685226105e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.138
y[1] (analytic) = 5.7073747821563340184651270636109
y[1] (numeric) = 5.707374782156334018465127063578
absolute error = 3.29e-29
relative error = 5.7644716276315524754904991302357e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.139
y[1] (analytic) = 5.7123900499789670009066605671817
y[1] (numeric) = 5.7123900499789670009066605671488
absolute error = 3.29e-29
relative error = 5.7594106341042201203759332837649e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 5.7174053178015999833481940707526
y[1] (numeric) = 5.7174053178015999833481940707196
absolute error = 3.30e-29
relative error = 5.7718489709399915124132193338898e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.141
y[1] (analytic) = 5.7224205856242329657897275743234
y[1] (numeric) = 5.7224205856242329657897275742904
absolute error = 3.30e-29
relative error = 5.7667903828848293813769237867085e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.142
y[1] (analytic) = 5.7274358534468659482312610778943
y[1] (numeric) = 5.7274358534468659482312610778612
absolute error = 3.31e-29
relative error = 5.7792004741667897821313065420845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.143
y[1] (analytic) = 5.7324511212694989306727945814651
y[1] (numeric) = 5.732451121269498930672794581432
absolute error = 3.31e-29
relative error = 5.7741443057729430719107192222752e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.144
y[1] (analytic) = 5.7374663890921319131143280850359
y[1] (numeric) = 5.7374663890921319131143280850028
absolute error = 3.31e-29
relative error = 5.7690969768343303594352727893886e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.145
y[1] (analytic) = 5.7424816569147648955558615886068
y[1] (numeric) = 5.7424816569147648955558615885736
absolute error = 3.32e-29
relative error = 5.7814725381007489416915581672372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.146
y[1] (analytic) = 5.7474969247373978779973950921776
y[1] (numeric) = 5.7474969247373978779973950921444
absolute error = 3.32e-29
relative error = 5.7764276231460362462799599489413e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.147
y[1] (analytic) = 5.7525121925600308604389285957484
y[1] (numeric) = 5.7525121925600308604389285957152
absolute error = 3.32e-29
relative error = 5.7713915049044093620199076734845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.148
y[1] (analytic) = 5.7575274603826638428804620993193
y[1] (numeric) = 5.757527460382663842880462099286
absolute error = 3.33e-29
relative error = 5.7837327271360985586060245051505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.149
y[1] (analytic) = 5.7625427282052968253219956028901
y[1] (numeric) = 5.7625427282052968253219956028568
absolute error = 3.33e-29
relative error = 5.7786990171908103962399618206378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 5.7675579960279298077635291064609
y[1] (numeric) = 5.7675579960279298077635291064276
absolute error = 3.33e-29
relative error = 5.7736740615236879524171444625330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.151
y[1] (analytic) = 5.7725732638505627902050626100318
y[1] (numeric) = 5.7725732638505627902050626099984
absolute error = 3.34e-29
relative error = 5.7859811341260857969787994459939e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.152
y[1] (analytic) = 5.7775885316731957726465961136026
y[1] (numeric) = 5.7775885316731957726465961135692
absolute error = 3.34e-29
relative error = 5.7809585810582680141689220159193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.153
y[1] (analytic) = 5.7826037994958287550881296171734
y[1] (numeric) = 5.78260379949582875508812961714
absolute error = 3.34e-29
relative error = 5.7759447401380093255182984929220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.154
y[1] (analytic) = 5.7876190673184617375296631207443
y[1] (numeric) = 5.7876190673184617375296631207108
absolute error = 3.35e-29
relative error = 5.7882178509584127897447835292592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.155
y[1] (analytic) = 5.7926343351410947199711966243151
y[1] (numeric) = 5.7926343351410947199711966242816
absolute error = 3.35e-29
relative error = 5.7832064069316089691476018984980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.156
y[1] (analytic) = 5.797649602963727702412730127886
y[1] (numeric) = 5.7976496029637277024127301278524
absolute error = 3.36e-29
relative error = 5.7954520022775882062356074595080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.157
y[1] (analytic) = 5.8026648707863606848542636314568
y[1] (numeric) = 5.8026648707863606848542636314232
absolute error = 3.36e-29
relative error = 5.7904429685677545085638394323175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.158
y[1] (analytic) = 5.8076801386089936672957971350276
y[1] (numeric) = 5.807680138608993667295797134994
absolute error = 3.36e-29
relative error = 5.7854425860387668103699155640686e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.159
y[1] (analytic) = 5.8126954064316266497373306385985
y[1] (numeric) = 5.8126954064316266497373306385648
absolute error = 3.37e-29
relative error = 5.7976545550127485534523246364258e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 5.8177106742542596321788641421693
y[1] (numeric) = 5.8177106742542596321788641421356
absolute error = 3.37e-29
relative error = 5.7926565769480823909062450462220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.161
y[1] (analytic) = 5.8227259420768926146203976457401
y[1] (numeric) = 5.8227259420768926146203976457064
absolute error = 3.37e-29
relative error = 5.7876672086647507092603309678015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.162
y[1] (analytic) = 5.827741209899525597061931149311
y[1] (numeric) = 5.8277412098995255970619311492772
absolute error = 3.38e-29
relative error = 5.7998457348422196045560467160444e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.163
y[1] (analytic) = 5.8327564777221585795034646528818
y[1] (numeric) = 5.832756477722158579503464652848
absolute error = 3.38e-29
relative error = 5.7948587651647972317232384213617e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.164
y[1] (analytic) = 5.8377717455447915619449981564526
y[1] (numeric) = 5.8377717455447915619449981564188
absolute error = 3.38e-29
relative error = 5.7898803641637965468162596941956e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.165
y[1] (analytic) = 5.8427870133674245443865316600235
y[1] (numeric) = 5.8427870133674245443865316599896
absolute error = 3.39e-29
relative error = 5.8020256296253586159115951197166e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.166
y[1] (analytic) = 5.8478022811900575268280651635943
y[1] (numeric) = 5.8478022811900575268280651635604
absolute error = 3.39e-29
relative error = 5.7970496213666747749030946093223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.167
y[1] (analytic) = 5.8528175490126905092695986671651
y[1] (numeric) = 5.8528175490126905092695986671312
absolute error = 3.39e-29
relative error = 5.7920821409713305805801270903770e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=72.4MB, alloc=3.9MB, time=4.51
TOP MAIN SOLVE Loop
x[1] = 1.168
y[1] (analytic) = 5.857832816835323491711132170736
y[1] (numeric) = 5.857832816835323491711132170702
absolute error = 3.40e-29
relative error = 5.8041943263188582145375773500822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.169
y[1] (analytic) = 5.8628480846579564741526656743068
y[1] (numeric) = 5.8628480846579564741526656742728
absolute error = 3.40e-29
relative error = 5.7992292327976273691872458040171e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 5.8678633524805894565941991778777
y[1] (numeric) = 5.8678633524805894565941991778436
absolute error = 3.41e-29
relative error = 5.8113146049293247877117712609591e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.171
y[1] (analytic) = 5.8728786203032224390357326814485
y[1] (numeric) = 5.8728786203032224390357326814144
absolute error = 3.41e-29
relative error = 5.8063519109883091388751258542461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.172
y[1] (analytic) = 5.8778938881258554214772661850193
y[1] (numeric) = 5.8778938881258554214772661849852
absolute error = 3.41e-29
relative error = 5.8013976858082849843197716512988e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.173
y[1] (analytic) = 5.8829091559484884039187996885902
y[1] (numeric) = 5.882909155948488403918799688556
absolute error = 3.42e-29
relative error = 5.8134503004213074242673950603140e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.174
y[1] (analytic) = 5.887924423771121386360333192161
y[1] (numeric) = 5.8879244237711213863603331921268
absolute error = 3.42e-29
relative error = 5.8084984688195856973301996641809e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.175
y[1] (analytic) = 5.8929396915937543688018666957318
y[1] (numeric) = 5.8929396915937543688018666956976
absolute error = 3.42e-29
relative error = 5.8035550658673988158856633240412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.176
y[1] (analytic) = 5.8979549594163873512434001993027
y[1] (numeric) = 5.8979549594163873512434001992684
absolute error = 3.43e-29
relative error = 5.8155750995077187208405922076314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.177
y[1] (analytic) = 5.9029702272390203336849337028735
y[1] (numeric) = 5.9029702272390203336849337028392
absolute error = 3.43e-29
relative error = 5.8106340841300571076538117554584e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.178
y[1] (analytic) = 5.9079854950616533161264672064443
y[1] (numeric) = 5.90798549506165331612646720641
absolute error = 3.43e-29
relative error = 5.8057014575730706415182822038833e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.179
y[1] (analytic) = 5.9130007628842862985680007100152
y[1] (numeric) = 5.9130007628842862985680007099808
absolute error = 3.44e-29
relative error = 5.8176890853672271609426789368962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 5.918016030706919281009534213586
y[1] (numeric) = 5.9180160307069192810095342135516
absolute error = 3.44e-29
relative error = 5.8127588403796278158910325988141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.181
y[1] (analytic) = 5.9230312985295522634510677171568
y[1] (numeric) = 5.9230312985295522634510677171224
absolute error = 3.44e-29
relative error = 5.8078369446638110268851976855214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.182
y[1] (analytic) = 5.9280465663521852458926012207277
y[1] (numeric) = 5.9280465663521852458926012206932
absolute error = 3.45e-29
relative error = 5.8197923403340477409427246167740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.183
y[1] (analytic) = 5.9330618341748182283341347242985
y[1] (numeric) = 5.933061834174818228334134724264
absolute error = 3.45e-29
relative error = 5.8148728201816098307644129307074e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.184
y[1] (analytic) = 5.9380771019974512107756682278694
y[1] (numeric) = 5.9380771019974512107756682278348
absolute error = 3.46e-29
relative error = 5.8268020784642973284097825400785e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.185
y[1] (analytic) = 5.9430923698200841932172017314402
y[1] (numeric) = 5.9430923698200841932172017314056
absolute error = 3.46e-29
relative error = 5.8218849459086312547149219640953e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.186
y[1] (analytic) = 5.948107637642717175658735235011
y[1] (numeric) = 5.9481076376427171756587352349764
absolute error = 3.46e-29
relative error = 5.8169761053134300479234254025742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.187
y[1] (analytic) = 5.9531229054653501581002687385819
y[1] (numeric) = 5.9531229054653501581002687385472
absolute error = 3.47e-29
relative error = 5.8288734418943653276158926351130e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.188
y[1] (analytic) = 5.9581381732879831405418022421527
y[1] (numeric) = 5.958138173287983140541802242118
absolute error = 3.47e-29
relative error = 5.8239669827681916194276637692586e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.189
y[1] (analytic) = 5.9631534411106161229833357457235
y[1] (numeric) = 5.9631534411106161229833357456888
absolute error = 3.47e-29
relative error = 5.8190687767271754784525353724804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 5.9681687089332491054248692492944
y[1] (numeric) = 5.9681687089332491054248692492596
absolute error = 3.48e-29
relative error = 5.8309343614752060932125601582397e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.191
y[1] (analytic) = 5.9731839767558820878664027528652
y[1] (numeric) = 5.9731839767558820878664027528304
absolute error = 3.48e-29
relative error = 5.8260385307770740981720794192320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.192
y[1] (analytic) = 5.978199244578515070307936256436
y[1] (numeric) = 5.9781992445785150703079362564012
absolute error = 3.48e-29
relative error = 5.8211509145599792373514652586454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.193
y[1] (analytic) = 5.9832145124011480527494697600069
y[1] (numeric) = 5.983214512401148052749469759972
absolute error = 3.49e-29
relative error = 5.8329849159952882296444498061454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.194
y[1] (analytic) = 5.9882297802237810351910032635777
y[1] (numeric) = 5.9882297802237810351910032635428
absolute error = 3.49e-29
relative error = 5.8280996689969672177268246388036e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.195
y[1] (analytic) = 5.9932450480464140176325367671485
y[1] (numeric) = 5.9932450480464140176325367671136
absolute error = 3.49e-29
relative error = 5.8232225981442500903479737395243e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.196
y[1] (analytic) = 5.9982603158690470000740702707194
y[1] (numeric) = 5.9982603158690470000740702706844
absolute error = 3.50e-29
relative error = 5.8350251834525605894721660946134e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.197
y[1] (analytic) = 6.0032755836916799825156037742902
y[1] (numeric) = 6.0032755836916799825156037742552
absolute error = 3.50e-29
relative error = 5.8301504756969611236497164988786e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.198
y[1] (analytic) = 6.008290851514312964957137277861
y[1] (numeric) = 6.008290851514312964957137277826
absolute error = 3.50e-29
relative error = 5.8252839060177483013428302580615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.199
y[1] (analytic) = 6.0133061193369459473986707814319
y[1] (numeric) = 6.0133061193369459473986707813968
absolute error = 3.51e-29
relative error = 5.8370552410643420117194267552826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 6.0183213871595789298402042850027
y[1] (numeric) = 6.0183213871595789298402042849676
absolute error = 3.51e-29
relative error = 5.8321910283634550600429938996532e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.201
y[1] (analytic) = 6.0233366549822119122817377885736
y[1] (numeric) = 6.0233366549822119122817377885384
absolute error = 3.52e-29
relative error = 5.8439370097110988168979806078351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.202
y[1] (analytic) = 6.0283519228048448947232712921444
y[1] (numeric) = 6.0283519228048448947232712921092
absolute error = 3.52e-29
relative error = 5.8390751652770629609771004243011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.203
y[1] (analytic) = 6.0333671906274778771648047957152
y[1] (numeric) = 6.03336719062747787716480479568
absolute error = 3.52e-29
relative error = 5.8342214037099166077260803906983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.204
y[1] (analytic) = 6.0383824584501108596063382992861
y[1] (numeric) = 6.0383824584501108596063382992508
absolute error = 3.53e-29
relative error = 5.8459364313039146894828544355782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.205
y[1] (analytic) = 6.0433977262727438420478718028569
y[1] (numeric) = 6.0433977262727438420478718028216
absolute error = 3.53e-29
relative error = 5.8410850317758616482467690792001e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.206
y[1] (analytic) = 6.0484129940953768244894053064277
y[1] (numeric) = 6.0484129940953768244894053063924
absolute error = 3.53e-29
relative error = 5.8362416776864952621371117250715e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.207
y[1] (analytic) = 6.0534282619180098069309388099986
y[1] (numeric) = 6.0534282619180098069309388099632
absolute error = 3.54e-29
relative error = 5.8479259137670231095113825773507e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.208
y[1] (analytic) = 6.0584435297406427893724723135694
y[1] (numeric) = 6.058443529740642789372472313534
absolute error = 3.54e-29
relative error = 5.8430849154940371632286744791907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.209
y[1] (analytic) = 6.0634587975632757718140058171402
y[1] (numeric) = 6.0634587975632757718140058171048
absolute error = 3.54e-29
relative error = 5.8382519254894928810423811173386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 6.0684740653859087542555393207111
y[1] (numeric) = 6.0684740653859087542555393206756
absolute error = 3.55e-29
relative error = 5.8499055310278351241513395051971e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.211
y[1] (analytic) = 6.0734893332085417366970728242819
y[1] (numeric) = 6.0734893332085417366970728242464
absolute error = 3.55e-29
relative error = 5.8450748906223620976243772099822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.212
y[1] (analytic) = 6.0785046010311747191386063278527
y[1] (numeric) = 6.0785046010311747191386063278172
absolute error = 3.55e-29
relative error = 5.8402522215706934820322778888519e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.213
y[1] (analytic) = 6.0835198688538077015801398314236
y[1] (numeric) = 6.083519868853807701580139831388
absolute error = 3.56e-29
relative error = 5.8518753562824106407798869181489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.214
y[1] (analytic) = 6.0885351366764406840216733349944
y[1] (numeric) = 6.0885351366764406840216733349588
absolute error = 3.56e-29
relative error = 5.8470550306182570900049446719231e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.215
y[1] (analytic) = 6.0935504044990736664632068385653
y[1] (numeric) = 6.0935504044990736664632068385296
absolute error = 3.57e-29
relative error = 5.8586534335781462669208928906508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.216
y[1] (analytic) = 6.0985656723217066489047403421361
y[1] (numeric) = 6.0985656723217066489047403421004
absolute error = 3.57e-29
relative error = 5.8538354620044800282145434721553e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.217
y[1] (analytic) = 6.1035809401443396313462738457069
y[1] (numeric) = 6.1035809401443396313462738456712
absolute error = 3.57e-29
relative error = 5.8490254082148296748635044060319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.218
y[1] (analytic) = 6.1085962079669726137878073492778
y[1] (numeric) = 6.108596207966972613787807349242
absolute error = 3.58e-29
relative error = 5.8605936259641472260687741318284e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.219
y[1] (analytic) = 6.1136114757896055962293408528486
y[1] (numeric) = 6.1136114757896055962293408528128
absolute error = 3.58e-29
relative error = 5.8557859199543325031597759578072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 6.1186267436122385786708743564194
y[1] (numeric) = 6.1186267436122385786708743563836
absolute error = 3.58e-29
relative error = 5.8509860954297797715998089283336e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.221
y[1] (analytic) = 6.1236420114348715611124078599903
y[1] (numeric) = 6.1236420114348715611124078599544
absolute error = 3.59e-29
relative error = 5.8625242842352292615844790524104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.222
y[1] (analytic) = 6.1286572792575045435539413635611
y[1] (numeric) = 6.1286572792575045435539413635252
absolute error = 3.59e-29
relative error = 5.8577268011875735911576505098144e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.223
y[1] (analytic) = 6.1336725470801375259954748671319
y[1] (numeric) = 6.133672547080137525995474867096
absolute error = 3.59e-29
relative error = 5.8529371635741741033480367318015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.224
y[1] (analytic) = 6.1386878149027705084370083707028
y[1] (numeric) = 6.1386878149027705084370083706668
absolute error = 3.60e-29
relative error = 5.8644454784951785420241265959308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.225
y[1] (analytic) = 6.1437030827254034908785418742736
y[1] (numeric) = 6.1437030827254034908785418742376
absolute error = 3.60e-29
relative error = 5.8596581760637539064796171048321e-28 %
Correct digits = 29
h = 0.001
memory used=76.2MB, alloc=3.9MB, time=4.75
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.226
y[1] (analytic) = 6.1487183505480364733200753778444
y[1] (numeric) = 6.1487183505480364733200753778084
absolute error = 3.60e-29
relative error = 5.8548786832610917907320807124138e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.227
y[1] (analytic) = 6.1537336183706694557616088814153
y[1] (numeric) = 6.1537336183706694557616088813792
absolute error = 3.61e-29
relative error = 5.8663572781621696352733602150330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.228
y[1] (analytic) = 6.1587488861933024382031423849861
y[1] (numeric) = 6.15874888619330243820314238495
absolute error = 3.61e-29
relative error = 5.8615801142548714515312809314703e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.229
y[1] (analytic) = 6.163764154015935420644675888557
y[1] (numeric) = 6.1637641540159354206446758885208
absolute error = 3.62e-29
relative error = 5.8730345768363431647870585958272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 6.1687794218385684030862093921278
y[1] (numeric) = 6.1687794218385684030862093920916
absolute error = 3.62e-29
relative error = 5.8682597519771266256286951335542e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.231
y[1] (analytic) = 6.1737946896612013855277428956986
y[1] (numeric) = 6.1737946896612013855277428956624
absolute error = 3.62e-29
relative error = 5.8634926847537495934389074039575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.232
y[1] (analytic) = 6.1788099574838343679692763992695
y[1] (numeric) = 6.1788099574838343679692763992332
absolute error = 3.63e-29
relative error = 5.8749177025639199322777411077092e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.233
y[1] (analytic) = 6.1838252253064673504108099028403
y[1] (numeric) = 6.183825225306467350410809902804
absolute error = 3.63e-29
relative error = 5.8701529680119621707754882763161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.234
y[1] (analytic) = 6.1888404931291003328523434064111
y[1] (numeric) = 6.1888404931291003328523434063748
absolute error = 3.63e-29
relative error = 5.8653959558822928335220235370323e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.235
y[1] (analytic) = 6.193855760951733315293876909982
y[1] (numeric) = 6.1938557609517333152938769099456
absolute error = 3.64e-29
relative error = 5.8767916795025368126389142308696e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.236
y[1] (analytic) = 6.1988710287743662977354104135528
y[1] (numeric) = 6.1988710287743662977354104135164
absolute error = 3.64e-29
relative error = 5.8720369936776965724992387339191e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.237
y[1] (analytic) = 6.2038862965969992801769439171236
y[1] (numeric) = 6.2038862965969992801769439170872
absolute error = 3.64e-29
relative error = 5.8672899952996224443080509903994e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.238
y[1] (analytic) = 6.2089015644196322626184774206945
y[1] (numeric) = 6.208901564419632262618477420658
absolute error = 3.65e-29
relative error = 5.8786565741619681507689346571487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.239
y[1] (analytic) = 6.2139168322422652450600109242653
y[1] (numeric) = 6.2139168322422652450600109242288
absolute error = 3.65e-29
relative error = 5.8739118957324588947957555331317e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 6.2189321000648982275015444278361
y[1] (numeric) = 6.2189321000648982275015444277996
absolute error = 3.65e-29
relative error = 5.8691748700100940085902750851211e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.241
y[1] (analytic) = 6.223947367887531209943077931407
y[1] (numeric) = 6.2239473678875312099430779313704
absolute error = 3.66e-29
relative error = 5.8805124524088639626872063948237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.242
y[1] (analytic) = 6.2289626357101641923846114349778
y[1] (numeric) = 6.2289626357101641923846114349412
absolute error = 3.66e-29
relative error = 5.8757777402893721237478447149568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.243
y[1] (analytic) = 6.2339779035327971748261449385487
y[1] (numeric) = 6.233977903532797174826144938512
absolute error = 3.67e-29
relative error = 5.8870917683558196176489985248611e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.244
y[1] (analytic) = 6.2389931713554301572676784421195
y[1] (numeric) = 6.2389931713554301572676784420828
absolute error = 3.67e-29
relative error = 5.8823593794745046501106954713846e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.245
y[1] (analytic) = 6.2440084391780631397092119456903
y[1] (numeric) = 6.2440084391780631397092119456536
absolute error = 3.67e-29
relative error = 5.8776345928243243250905262380743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.246
y[1] (analytic) = 6.2490237070006961221507454492612
y[1] (numeric) = 6.2490237070006961221507454492244
absolute error = 3.68e-29
relative error = 5.8889198898018999934033605110984e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.247
y[1] (analytic) = 6.254038974823329104592278952832
y[1] (numeric) = 6.2540389748233291045922789527952
absolute error = 3.68e-29
relative error = 5.8841974199624437784928526037118e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.248
y[1] (analytic) = 6.2590542426459620870338124564028
y[1] (numeric) = 6.259054242645962087033812456366
absolute error = 3.68e-29
relative error = 5.8794825181836277177729064077153e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.249
y[1] (analytic) = 6.2640695104685950694753459599737
y[1] (numeric) = 6.2640695104685950694753459599368
absolute error = 3.69e-29
relative error = 5.8907392292394323449347231603321e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 6.2690847782912280519168794635445
y[1] (numeric) = 6.2690847782912280519168794635076
absolute error = 3.69e-29
relative error = 5.8860266378560407990587753818038e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.251
y[1] (analytic) = 6.2741000461138610343584129671153
y[1] (numeric) = 6.2741000461138610343584129670784
absolute error = 3.69e-29
relative error = 5.8813215805915675450227571760630e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.252
y[1] (analytic) = 6.2791153139364940167999464706862
y[1] (numeric) = 6.2791153139364940167999464706492
absolute error = 3.70e-29
relative error = 5.8925498497978710909475649023011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.253
y[1] (analytic) = 6.284130581759126999241479974257
y[1] (numeric) = 6.28413058175912699924147997422
absolute error = 3.70e-29
relative error = 5.8878470965258855593506394714134e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.254
y[1] (analytic) = 6.2891458495817599816830134778278
y[1] (numeric) = 6.2891458495817599816830134777908
absolute error = 3.70e-29
relative error = 5.8831518436578425884101684670502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.255
y[1] (analytic) = 6.2941611174043929641245469813987
y[1] (numeric) = 6.2941611174043929641245469813616
absolute error = 3.71e-29
relative error = 5.8943518140030424007244886757825e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.256
y[1] (analytic) = 6.2991763852270259465660804849695
y[1] (numeric) = 6.2991763852270259465660804849324
absolute error = 3.71e-29
relative error = 5.8896588587371164115519373312955e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.257
y[1] (analytic) = 6.3041916530496589290076139885403
y[1] (numeric) = 6.3041916530496589290076139885032
absolute error = 3.71e-29
relative error = 5.8849733703848991351704322101091e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.258
y[1] (analytic) = 6.3092069208722919114491474921112
y[1] (numeric) = 6.309206920872291911449147492074
absolute error = 3.72e-29
relative error = 5.8961451837843416692783110640169e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.259
y[1] (analytic) = 6.314222188694924893890680995682
y[1] (numeric) = 6.3142221886949248938906809956448
absolute error = 3.72e-29
relative error = 5.8914619866566336933694323419645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 6.3192374565175578763322144992529
y[1] (numeric) = 6.3192374565175578763322144992156
absolute error = 3.73e-29
relative error = 5.9026109173234804976150772610789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.261
y[1] (analytic) = 6.3242527243401908587737480028237
y[1] (numeric) = 6.3242527243401908587737480027864
absolute error = 3.73e-29
relative error = 5.8979300204818282529698630840281e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.262
y[1] (analytic) = 6.3292679921628238412152815063945
y[1] (numeric) = 6.3292679921628238412152815063572
absolute error = 3.73e-29
relative error = 5.8932565418602103224999978993340e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.263
y[1] (analytic) = 6.3342832599854568236568150099654
y[1] (numeric) = 6.334283259985456823656815009928
absolute error = 3.74e-29
relative error = 5.9043775696393262343926202528785e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.264
y[1] (analytic) = 6.3392985278080898060983485135362
y[1] (numeric) = 6.3392985278080898060983485134988
absolute error = 3.74e-29
relative error = 5.8997063848532191724983222938177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.265
y[1] (analytic) = 6.344313795630722788539882017107
y[1] (numeric) = 6.3443137956307227885398820170696
absolute error = 3.74e-29
relative error = 5.8950425853395012126781655173009e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.266
y[1] (analytic) = 6.3493290634533557709814155206779
y[1] (numeric) = 6.3493290634533557709814155206404
absolute error = 3.75e-29
relative error = 5.9061358491953812330811701499303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.267
y[1] (analytic) = 6.3543443312759887534229490242487
y[1] (numeric) = 6.3543443312759887534229490242112
absolute error = 3.75e-29
relative error = 5.9014743370807834578380121624402e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.268
y[1] (analytic) = 6.3593595990986217358644825278195
y[1] (numeric) = 6.359359599098621735864482527782
absolute error = 3.75e-29
relative error = 5.8968201775089531869722093137317e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.269
y[1] (analytic) = 6.3643748669212547183060160313904
y[1] (numeric) = 6.3643748669212547183060160313528
absolute error = 3.76e-29
relative error = 5.9078858153729206052983793855303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 6.3693901347438877007475495349612
y[1] (numeric) = 6.3693901347438877007475495349236
absolute error = 3.76e-29
relative error = 5.9032339367781387780501129450693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.271
y[1] (analytic) = 6.374405402566520683189083038532
y[1] (numeric) = 6.3744054025665206831890830384944
absolute error = 3.76e-29
relative error = 5.8985893782126170323553449569142e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.272
y[1] (analytic) = 6.3794206703891536656306165421029
y[1] (numeric) = 6.3794206703891536656306165420652
absolute error = 3.77e-29
relative error = 5.9096275269930187540617338605850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.273
y[1] (analytic) = 6.3844359382117866480721500456737
y[1] (numeric) = 6.384435938211786648072150045636
absolute error = 3.77e-29
relative error = 5.9049852429969519679234292778194e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.274
y[1] (analytic) = 6.3894512060344196305136835492446
y[1] (numeric) = 6.3894512060344196305136835492068
absolute error = 3.78e-29
relative error = 5.9160010431412900017342288077631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.275
y[1] (analytic) = 6.3944664738570526129552170528154
y[1] (numeric) = 6.3944664738570526129552170527776
absolute error = 3.78e-29
relative error = 5.9113610423231399703603196086982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.276
y[1] (analytic) = 6.3994817416796855953967505563862
y[1] (numeric) = 6.3994817416796855953967505563484
absolute error = 3.78e-29
relative error = 5.9067283142335450330794729632369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.277
y[1] (analytic) = 6.4044970095023185778382840599571
y[1] (numeric) = 6.4044970095023185778382840599192
absolute error = 3.79e-29
relative error = 5.9177168704689796940111899228789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.278
y[1] (analytic) = 6.4095122773249515602798175635279
y[1] (numeric) = 6.40951227732495156027981756349
absolute error = 3.79e-29
relative error = 5.9130864190836362044227617617499e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.279
y[1] (analytic) = 6.4145275451475845427213510670987
y[1] (numeric) = 6.4145275451475845427213510670608
absolute error = 3.79e-29
relative error = 5.9084632084354081854982717212795e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 6.4195428129702175251628845706696
y[1] (numeric) = 6.4195428129702175251628845706316
absolute error = 3.80e-29
relative error = 5.9194246548560708408556027827676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.281
y[1] (analytic) = 6.4245580807928505076044180742404
y[1] (numeric) = 6.4245580807928505076044180742024
absolute error = 3.80e-29
relative error = 5.9148037144541535334076280733354e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.282
y[1] (analytic) = 6.4295733486154834900459515778112
y[1] (numeric) = 6.4295733486154834900459515777732
absolute error = 3.80e-29
relative error = 5.9101899830076214323675285194560e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=80.1MB, alloc=4.0MB, time=4.99
x[1] = 1.283
y[1] (analytic) = 6.4345886164381164724874850813821
y[1] (numeric) = 6.434588616438116472487485081344
absolute error = 3.81e-29
relative error = 5.9211244527222558716586543977932e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.284
y[1] (analytic) = 6.4396038842607494549290185849529
y[1] (numeric) = 6.4396038842607494549290185849148
absolute error = 3.81e-29
relative error = 5.9165129850799488187991071591657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.285
y[1] (analytic) = 6.4446191520833824373705520885237
y[1] (numeric) = 6.4446191520833824373705520884856
absolute error = 3.81e-29
relative error = 5.9119086948191862127144385932831e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.286
y[1] (analytic) = 6.4496344199060154198120855920946
y[1] (numeric) = 6.4496344199060154198120855920564
absolute error = 3.82e-29
relative error = 5.9228163199607604124268550721578e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.287
y[1] (analytic) = 6.4546496877286484022536190956654
y[1] (numeric) = 6.4546496877286484022536190956272
absolute error = 3.82e-29
relative error = 5.9182142870781180189440059229176e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.288
y[1] (analytic) = 6.4596649555512813846951525992363
y[1] (numeric) = 6.459664955551281384695152599198
absolute error = 3.83e-29
relative error = 5.9291000792674079948942683643020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.289
y[1] (analytic) = 6.4646802233739143671366861028071
y[1] (numeric) = 6.4646802233739143671366861027688
absolute error = 3.83e-29
relative error = 5.9245003119444697419889974035850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 6.4696954911965473495782196063779
y[1] (numeric) = 6.4696954911965473495782196063396
absolute error = 3.83e-29
relative error = 5.9199076760437375949021842273032e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.291
y[1] (analytic) = 6.4747107590191803320197531099488
y[1] (numeric) = 6.4747107590191803320197531099104
absolute error = 3.84e-29
relative error = 5.9307668603588730476116961143665e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.292
y[1] (analytic) = 6.4797260268418133144612866135196
y[1] (numeric) = 6.4797260268418133144612866134812
absolute error = 3.84e-29
relative error = 5.9261764835319698950980647706248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.293
y[1] (analytic) = 6.4847412946644462969028201170904
y[1] (numeric) = 6.484741294664446296902820117052
absolute error = 3.84e-29
relative error = 5.9215932070559204210879347901371e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.294
y[1] (analytic) = 6.4897565624870792793443536206613
y[1] (numeric) = 6.4897565624870792793443536206228
absolute error = 3.85e-29
relative error = 5.9324259129445044138404804590984e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.295
y[1] (analytic) = 6.4947718303097122617858871242321
y[1] (numeric) = 6.4947718303097122617858871241936
absolute error = 3.85e-29
relative error = 5.9278448890735047965324955321030e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.296
y[1] (analytic) = 6.4997870981323452442274206278029
y[1] (numeric) = 6.4997870981323452442274206277644
absolute error = 3.85e-29
relative error = 5.9232709346837875860413439151801e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.297
y[1] (analytic) = 6.5048023659549782266689541313738
y[1] (numeric) = 6.5048023659549782266689541313352
absolute error = 3.86e-29
relative error = 5.9340772906531012479201725092518e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.298
y[1] (analytic) = 6.5098176337776112091104876349446
y[1] (numeric) = 6.509817633777611209110487634906
absolute error = 3.86e-29
relative error = 5.9295055824168507847091400188749e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.299
y[1] (analytic) = 6.5148329016002441915520211385154
y[1] (numeric) = 6.5148329016002441915520211384768
absolute error = 3.86e-29
relative error = 5.9249409129923574430734901805232e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 6.5198481694228771739935546420863
y[1] (numeric) = 6.5198481694228771739935546420476
absolute error = 3.87e-29
relative error = 5.9357210466184276350733429037890e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.301
y[1] (analytic) = 6.5248634372455101564350881456571
y[1] (numeric) = 6.5248634372455101564350881456184
absolute error = 3.87e-29
relative error = 5.9311586169131098582592972904887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.302
y[1] (analytic) = 6.529878705068143138876621649228
y[1] (numeric) = 6.5298787050681431388766216491892
absolute error = 3.88e-29
relative error = 5.9419174156918890419648447045713e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.303
y[1] (analytic) = 6.5348939728907761213181551527988
y[1] (numeric) = 6.53489397289077612131815515276
absolute error = 3.88e-29
relative error = 5.9373572334849113834522085996561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.304
y[1] (analytic) = 6.5399092407134091037596886563696
y[1] (numeric) = 6.5399092407134091037596886563308
absolute error = 3.88e-29
relative error = 5.9328040454224229544771685623865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.305
y[1] (analytic) = 6.5449245085360420862012221599405
y[1] (numeric) = 6.5449245085360420862012221599016
absolute error = 3.89e-29
relative error = 5.9435368504656882296406971921671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.306
y[1] (analytic) = 6.5499397763586750686427556635113
y[1] (numeric) = 6.5499397763586750686427556634724
absolute error = 3.89e-29
relative error = 5.9389859034132642723438819569511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.307
y[1] (analytic) = 6.5549550441813080510842891670821
y[1] (numeric) = 6.5549550441813080510842891670432
absolute error = 3.89e-29
relative error = 5.9344419203196045445150036999067e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.308
y[1] (analytic) = 6.559970312003941033525822670653
y[1] (numeric) = 6.559970312003941033525822670614
absolute error = 3.90e-29
relative error = 5.9451488566396076045290457692693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.309
y[1] (analytic) = 6.5649855798265740159673561742238
y[1] (numeric) = 6.5649855798265740159673561741848
absolute error = 3.90e-29
relative error = 5.9406071080860250165958684997741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 6.5700008476492069984088896777946
y[1] (numeric) = 6.5700008476492069984088896777556
absolute error = 3.90e-29
relative error = 5.9360722934996998066595357757285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.311
y[1] (analytic) = 6.5750161154718399808504231813655
y[1] (numeric) = 6.5750161154718399808504231813264
absolute error = 3.91e-29
relative error = 5.9467534852109003461227108288561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.312
y[1] (analytic) = 6.5800313832944729632919566849363
y[1] (numeric) = 6.5800313832944729632919566848972
absolute error = 3.91e-29
relative error = 5.9422208987130261842735319334073e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.313
y[1] (analytic) = 6.5850466511171059457334901885071
y[1] (numeric) = 6.585046651117105945733490188468
absolute error = 3.91e-29
relative error = 5.9376952163834656159686777582867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.314
y[1] (analytic) = 6.590061918939738928175023692078
y[1] (numeric) = 6.5900619189397389281750236920388
absolute error = 3.92e-29
relative error = 5.9483507867110912943757655457051e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.315
y[1] (analytic) = 6.5950771867623719106165571956488
y[1] (numeric) = 6.5950771867623719106165571956096
absolute error = 3.92e-29
relative error = 5.9438273260367862819846052677236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.316
y[1] (analytic) = 6.6000924545850048930580906992196
y[1] (numeric) = 6.6000924545850048930580906991804
absolute error = 3.92e-29
relative error = 5.9393107399227765659648601269427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.317
y[1] (analytic) = 6.6051077224076378754996242027905
y[1] (numeric) = 6.6051077224076378754996242027512
absolute error = 3.93e-29
relative error = 5.9499408112112813727051161408373e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.318
y[1] (analytic) = 6.6101229902302708579411577063613
y[1] (numeric) = 6.610122990230270857941157706322
absolute error = 3.93e-29
relative error = 5.9454264403378282001916828205484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.319
y[1] (analytic) = 6.6151382580529038403826912099322
y[1] (numeric) = 6.6151382580529038403826912098928
absolute error = 3.94e-29
relative error = 5.9560357566278553259253373676337e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 6.620153525875536822824224713503
y[1] (numeric) = 6.6201535258755368228242247134636
absolute error = 3.94e-29
relative error = 5.9515236083273796779511515059916e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.321
y[1] (analytic) = 6.6251687936981698052657582170738
y[1] (numeric) = 6.6251687936981698052657582170344
absolute error = 3.94e-29
relative error = 5.9470182914399251891714761452755e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.322
y[1] (analytic) = 6.6301840615208027877072917206447
y[1] (numeric) = 6.6301840615208027877072917206052
absolute error = 3.95e-29
relative error = 5.9576023280022880347491694541112e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.323
y[1] (analytic) = 6.6351993293434357701488252242155
y[1] (numeric) = 6.635199329343435770148825224176
absolute error = 3.95e-29
relative error = 5.9530992272252643854409690236849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.324
y[1] (analytic) = 6.6402145971660687525903587277863
y[1] (numeric) = 6.6402145971660687525903587277468
absolute error = 3.95e-29
relative error = 5.9486029287152755150592160259329e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.325
y[1] (analytic) = 6.6452298649887017350318922313572
y[1] (numeric) = 6.6452298649887017350318922313176
absolute error = 3.96e-29
relative error = 5.9591618054686101048915351311405e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.326
y[1] (analytic) = 6.650245132811334717473425734928
y[1] (numeric) = 6.6502451328113347174734257348884
absolute error = 3.96e-29
relative error = 5.9546677166258735965168054666374e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.327
y[1] (analytic) = 6.6552604006339676999149592384988
y[1] (numeric) = 6.6552604006339676999149592384592
absolute error = 3.96e-29
relative error = 5.9501804010896069246279457790213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.328
y[1] (analytic) = 6.6602756684566006823564927420697
y[1] (numeric) = 6.66027566845660068235649274203
absolute error = 3.97e-29
relative error = 5.9607142371030060211025346981833e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.329
y[1] (analytic) = 6.6652909362792336647980262456405
y[1] (numeric) = 6.6652909362792336647980262456008
absolute error = 3.97e-29
relative error = 5.9562291248102272355336087879514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 6.6703062041018666472395597492113
y[1] (numeric) = 6.6703062041018666472395597491716
absolute error = 3.97e-29
relative error = 5.9517507570472120270858391572838e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.331
y[1] (analytic) = 6.6753214719244996296810932527822
y[1] (numeric) = 6.6753214719244996296810932527424
absolute error = 3.98e-29
relative error = 5.9622596705482160804410579335940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.332
y[1] (analytic) = 6.680336739747132612122626756353
y[1] (numeric) = 6.6803367397471326121226267563132
absolute error = 3.98e-29
relative error = 5.9577834996243810833836697519622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.333
y[1] (analytic) = 6.6853520075697655945641602599239
y[1] (numeric) = 6.685352007569765594564160259884
absolute error = 3.99e-29
relative error = 5.9682721201249506452437585446659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.334
y[1] (analytic) = 6.6903672753923985770056937634947
y[1] (numeric) = 6.6903672753923985770056937634548
absolute error = 3.99e-29
relative error = 5.9637981530184102024812070015290e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.335
y[1] (analytic) = 6.6953825432150315594472272670655
y[1] (numeric) = 6.6953825432150315594472272670256
absolute error = 3.99e-29
relative error = 5.9593308884843140150636180824268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.336
y[1] (analytic) = 6.7003978110376645418887607706364
y[1] (numeric) = 6.7003978110376645418887607705964
absolute error = 4.00e-29
relative error = 5.9697947984681458212221647982529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.337
y[1] (analytic) = 6.7054130788602975243302942742072
y[1] (numeric) = 6.7054130788602975243302942741672
absolute error = 4.00e-29
relative error = 5.9653297313039961235249156099221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.338
y[1] (analytic) = 6.710428346682930506771827777778
y[1] (numeric) = 6.710428346682930506771827777738
absolute error = 4.00e-29
relative error = 5.9608713383807494896508312185844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.339
y[1] (analytic) = 6.7154436145055634892133612813489
y[1] (numeric) = 6.7154436145055634892133612813088
absolute error = 4.01e-29
relative error = 5.9713106537567785094814743845347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 6.7204588823281964716548947849197
y[1] (numeric) = 6.7204588823281964716548947848796
absolute error = 4.01e-29
relative error = 5.9668544517763630031311150752926e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=83.9MB, alloc=4.0MB, time=5.24
TOP MAIN SOLVE Loop
x[1] = 1.341
y[1] (analytic) = 6.7254741501508294540964282884905
y[1] (numeric) = 6.7254741501508294540964282884504
absolute error = 4.01e-29
relative error = 5.9624048958839123222935825510008e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.342
y[1] (analytic) = 6.7304894179734624365379617920614
y[1] (numeric) = 6.7304894179734624365379617920212
absolute error = 4.02e-29
relative error = 5.9728197317490387714147363869733e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.343
y[1] (analytic) = 6.7355046857960954189794952956322
y[1] (numeric) = 6.735504685796095418979495295592
absolute error = 4.02e-29
relative error = 5.9683723603925614528954402318081e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.344
y[1] (analytic) = 6.740519953618728401421028799203
y[1] (numeric) = 6.7405199536187284014210287991628
absolute error = 4.02e-29
relative error = 5.9639316071482217494334644578261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.345
y[1] (analytic) = 6.7455352214413613838625623027739
y[1] (numeric) = 6.7455352214413613838625623027336
absolute error = 4.03e-29
relative error = 5.9743220777948651585735749157951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.346
y[1] (analytic) = 6.7505504892639943663040958063447
y[1] (numeric) = 6.7505504892639943663040958063044
absolute error = 4.03e-29
relative error = 5.9698835026999209794067297635545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.347
y[1] (analytic) = 6.7555657570866273487456293099156
y[1] (numeric) = 6.7555657570866273487456293098752
absolute error = 4.04e-29
relative error = 5.9802541271425220826461323624131e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.348
y[1] (analytic) = 6.7605810249092603311871628134864
y[1] (numeric) = 6.760581024909260331187162813446
absolute error = 4.04e-29
relative error = 5.9758177368404875707153859734203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.349
y[1] (analytic) = 6.7655962927318933136286963170572
y[1] (numeric) = 6.7655962927318933136286963170168
absolute error = 4.04e-29
relative error = 5.9713879238406058156592589267388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 6.7706115605545262960702298206281
y[1] (numeric) = 6.7706115605545262960702298205876
absolute error = 4.05e-29
relative error = 5.9817343880650821128646091278494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.351
y[1] (analytic) = 6.7756268283771592785117633241989
y[1] (numeric) = 6.7756268283771592785117633241584
absolute error = 4.05e-29
relative error = 5.9773067534329095872444280700198e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.352
y[1] (analytic) = 6.7806420961997922609532968277697
y[1] (numeric) = 6.7806420961997922609532968277292
absolute error = 4.05e-29
relative error = 5.9728856685561100979047502386071e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.353
y[1] (analytic) = 6.7856573640224252433948303313406
y[1] (numeric) = 6.7856573640224252433948303313
absolute error = 4.06e-29
relative error = 5.9832080846376529633481924264766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.354
y[1] (analytic) = 6.7906726318450582258363638349114
y[1] (numeric) = 6.7906726318450582258363638348708
absolute error = 4.06e-29
relative error = 5.9787891717243312107903281780080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.355
y[1] (analytic) = 6.7956878996676912082778973384822
y[1] (numeric) = 6.7956878996676912082778973384416
absolute error = 4.06e-29
relative error = 5.9743767811916933279779367918988e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.356
y[1] (analytic) = 6.8007031674903241907194308420531
y[1] (numeric) = 6.8007031674903241907194308420124
absolute error = 4.07e-29
relative error = 5.9846752604289292525464501352869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.357
y[1] (analytic) = 6.8057184353129571731609643456239
y[1] (numeric) = 6.8057184353129571731609643455832
absolute error = 4.07e-29
relative error = 5.9802650354765129450648388971622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.358
y[1] (analytic) = 6.8107337031355901556024978491947
y[1] (numeric) = 6.810733703135590155602497849154
absolute error = 4.07e-29
relative error = 5.9758613057007570445161902676356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.359
y[1] (analytic) = 6.8157489709582231380440313527656
y[1] (numeric) = 6.8157489709582231380440313527248
absolute error = 4.08e-29
relative error = 5.9861359586228930636467022912989e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 6.8207642387808561204855648563364
y[1] (numeric) = 6.8207642387808561204855648562956
absolute error = 4.08e-29
relative error = 5.9817343880650821128646091278494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.361
y[1] (analytic) = 6.8257795066034891029270983599073
y[1] (numeric) = 6.8257795066034891029270983598664
absolute error = 4.09e-29
relative error = 5.9919896270355586190585969465844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.362
y[1] (analytic) = 6.8307947744261220853686318634781
y[1] (numeric) = 6.8307947744261220853686318634372
absolute error = 4.09e-29
relative error = 5.9875902220230508667685392395752e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.363
y[1] (analytic) = 6.8358100422487550678101653670489
y[1] (numeric) = 6.835810042248755067810165367008
absolute error = 4.09e-29
relative error = 5.9831972724837823041370142658117e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.364
y[1] (analytic) = 6.8408253100713880502516988706198
y[1] (numeric) = 6.8408253100713880502516988705788
absolute error = 4.10e-29
relative error = 5.9934288834474185392827217556653e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.365
y[1] (analytic) = 6.8458405778940210326932323741906
y[1] (numeric) = 6.8458405778940210326932323741496
absolute error = 4.10e-29
relative error = 5.9890380930566145696568736078590e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.366
y[1] (analytic) = 6.8508558457166540151347658777614
y[1] (numeric) = 6.8508558457166540151347658777204
absolute error = 4.10e-29
relative error = 5.9846537313486668283906533489953e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.367
y[1] (analytic) = 6.8558711135392869975762993813323
y[1] (numeric) = 6.8558711135392869975762993812912
absolute error = 4.11e-29
relative error = 5.9948618227133595425197618911146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.368
y[1] (analytic) = 6.8608863813619199800178328849031
y[1] (numeric) = 6.860886381361919980017832884862
absolute error = 4.11e-29
relative error = 5.9904796137786275545500837025977e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.369
y[1] (analytic) = 6.8659016491845529624593663884739
y[1] (numeric) = 6.8659016491845529624593663884328
absolute error = 4.11e-29
relative error = 5.9861038069022370304050507707478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 6.8709169170071859449008998920448
y[1] (numeric) = 6.8709169170071859449008998920036
absolute error = 4.12e-29
relative error = 5.9962884863328803661805814128320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.371
y[1] (analytic) = 6.8759321848298189273424333956156
y[1] (numeric) = 6.8759321848298189273424333955744
absolute error = 4.12e-29
relative error = 5.9919148258760365438857742783223e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.372
y[1] (analytic) = 6.8809474526524519097839668991864
y[1] (numeric) = 6.8809474526524519097839668991452
absolute error = 4.12e-29
relative error = 5.9875475410175263131686563670408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.373
y[1] (analytic) = 6.8859627204750848922255004027573
y[1] (numeric) = 6.885962720475084892225500402716
absolute error = 4.13e-29
relative error = 5.9977089154427747332194308565230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.374
y[1] (analytic) = 6.8909779882977178746670339063281
y[1] (numeric) = 6.8909779882977178746670339062868
absolute error = 4.13e-29
relative error = 5.9933437706717101227876845458559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.375
y[1] (analytic) = 6.895993256120350857108567409899
y[1] (numeric) = 6.8959932561203508571085674098576
absolute error = 4.14e-29
relative error = 6.0034861494762278660022986155870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.376
y[1] (analytic) = 6.9010085239429838395501009134698
y[1] (numeric) = 6.9010085239429838395501009134284
absolute error = 4.14e-29
relative error = 5.9991231508210852585415411311280e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.377
y[1] (analytic) = 6.9060237917656168219916344170406
y[1] (numeric) = 6.9060237917656168219916344169992
absolute error = 4.14e-29
relative error = 5.9947664891284047318468849647293e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.378
y[1] (analytic) = 6.9110390595882498044331679206115
y[1] (numeric) = 6.91103905958824980443316792057
absolute error = 4.15e-29
relative error = 6.0048857548306944287344286116534e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.379
y[1] (analytic) = 6.9160543274108827868747014241823
y[1] (numeric) = 6.9160543274108827868747014241408
absolute error = 4.15e-29
relative error = 6.0005312328910057453198278657421e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 6.9210695952335157693162349277531
y[1] (numeric) = 6.9210695952335157693162349277116
absolute error = 4.15e-29
relative error = 5.9961830218526789295623497296075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.381
y[1] (analytic) = 6.926084863056148751757768431324
y[1] (numeric) = 6.9260848630561487517577684312824
absolute error = 4.16e-29
relative error = 6.0062792793508910426060279922408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.382
y[1] (analytic) = 6.9311001308787817341993019348948
y[1] (numeric) = 6.9311001308787817341993019348532
absolute error = 4.16e-29
relative error = 6.0019332017247326554550829647500e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.383
y[1] (analytic) = 6.9361153987014147166408354384656
y[1] (numeric) = 6.936115398701414716640835438424
absolute error = 4.16e-29
relative error = 5.9975934090987567099341465345514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.384
y[1] (analytic) = 6.9411306665240476990823689420365
y[1] (numeric) = 6.9411306665240476990823689419948
absolute error = 4.17e-29
relative error = 6.0076667625798151278047736182881e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.385
y[1] (analytic) = 6.9461459343466806815239024456073
y[1] (numeric) = 6.9461459343466806815239024455656
absolute error = 4.17e-29
relative error = 6.0033290970472665248244091608020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.386
y[1] (analytic) = 6.9511612021693136639654359491781
y[1] (numeric) = 6.9511612021693136639654359491364
absolute error = 4.17e-29
relative error = 5.9989976907723406471008706260539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.387
y[1] (analytic) = 6.956176469991946646406969452749
y[1] (numeric) = 6.9561764699919466464069694527072
absolute error = 4.18e-29
relative error = 6.0090482437183473279918447859674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.388
y[1] (analytic) = 6.9611917378145796288485029563198
y[1] (numeric) = 6.961191737814579628848502956278
absolute error = 4.18e-29
relative error = 6.0047189582401640806373838026923e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.389
y[1] (analytic) = 6.9662070056372126112900364598906
y[1] (numeric) = 6.9662070056372126112900364598488
absolute error = 4.18e-29
relative error = 6.0003959064343756255757298186731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 6.9712222734598455937315699634615
y[1] (numeric) = 6.9712222734598455937315699634196
absolute error = 4.19e-29
relative error = 6.0104237616289434179622811140741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.391
y[1] (analytic) = 6.9762375412824785761731034670323
y[1] (numeric) = 6.9762375412824785761731034669904
absolute error = 4.19e-29
relative error = 6.0061028243452418051528186546104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.392
y[1] (analytic) = 6.9812528091051115586146369706032
y[1] (numeric) = 6.9812528091051115586146369705612
absolute error = 4.20e-29
relative error = 6.0161121719045366077661298699635e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.393
y[1] (analytic) = 6.986268076927744541056170474174
y[1] (numeric) = 6.986268076927744541056170474132
absolute error = 4.20e-29
relative error = 6.0117933548392785053915669626627e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.394
y[1] (analytic) = 6.9912833447503775234977039777448
y[1] (numeric) = 6.9912833447503775234977039777028
absolute error = 4.20e-29
relative error = 6.0074807340682316771954467568072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.395
y[1] (analytic) = 6.9962986125730105059392374813157
y[1] (numeric) = 6.9962986125730105059392374812736
absolute error = 4.21e-29
relative error = 6.0174675683999989713643977128425e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.396
y[1] (analytic) = 7.0013138803956434883807709848865
y[1] (numeric) = 7.0013138803956434883807709848444
absolute error = 4.21e-29
relative error = 6.0131570615458442443075464250826e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.397
y[1] (analytic) = 7.0063291482182764708223044884573
y[1] (numeric) = 7.0063291482182764708223044884152
absolute error = 4.21e-29
relative error = 6.0088527257823898103459805364462e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.398
y[1] (analytic) = 7.0113444160409094532638379920282
y[1] (numeric) = 7.011344416040909453263837991986
absolute error = 4.22e-29
relative error = 6.0188171477431202947755485263530e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=87.7MB, alloc=4.0MB, time=5.48
TOP MAIN SOLVE Loop
x[1] = 1.399
y[1] (analytic) = 7.016359683863542435705371495599
y[1] (numeric) = 7.0163596838635424357053714955568
absolute error = 4.22e-29
relative error = 6.0145149196174997656155945960268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 7.0213749516861754181469049991698
y[1] (numeric) = 7.0213749516861754181469049991276
absolute error = 4.22e-29
relative error = 6.0102188375320586943544405998868e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.401
y[1] (analytic) = 7.0263902195088084005884385027407
y[1] (numeric) = 7.0263902195088084005884385026984
absolute error = 4.23e-29
relative error = 6.0201609473031875654097779231033e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.402
y[1] (analytic) = 7.0314054873314413830299720063115
y[1] (numeric) = 7.0314054873314413830299720062692
absolute error = 4.23e-29
relative error = 6.0158669665989770179308836449841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.403
y[1] (analytic) = 7.0364207551540743654715055098823
y[1] (numeric) = 7.03642075515407436547150550984
absolute error = 4.23e-29
relative error = 6.0115791070361837342402700429563e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.404
y[1] (analytic) = 7.0414360229767073479130390134532
y[1] (numeric) = 7.0414360229767073479130390134108
absolute error = 4.24e-29
relative error = 6.0214990041300921554002712967905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.405
y[1] (analytic) = 7.046451290799340330354572517024
y[1] (numeric) = 7.0464512907993403303545725169816
absolute error = 4.24e-29
relative error = 6.0172132397143412001295237727359e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.406
y[1] (analytic) = 7.0514665586219733127961060205949
y[1] (numeric) = 7.0514665586219733127961060205524
absolute error = 4.25e-29
relative error = 6.0271150187948314318811258400569e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.407
y[1] (analytic) = 7.0564818264446062952376395241657
y[1] (numeric) = 7.0564818264446062952376395241232
absolute error = 4.25e-29
relative error = 6.0228313549577348921285450825302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.408
y[1] (analytic) = 7.0614970942672392776791730277365
y[1] (numeric) = 7.061497094267239277679173027694
absolute error = 4.25e-29
relative error = 6.0185537758704069554153856044887e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.409
y[1] (analytic) = 7.0665123620898722601207065313074
y[1] (numeric) = 7.0665123620898722601207065312648
absolute error = 4.26e-29
relative error = 6.0284335209740359121843470273571e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 7.0715276299125052425622400348782
y[1] (numeric) = 7.0715276299125052425622400348356
absolute error = 4.26e-29
relative error = 6.0241580362073876597643581287562e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.411
y[1] (analytic) = 7.076542897735138225003773538449
y[1] (numeric) = 7.0765428977351382250037735384064
absolute error = 4.26e-29
relative error = 6.0198886116601109853066938069073e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.412
y[1] (analytic) = 7.0815581655577712074453070420199
y[1] (numeric) = 7.0815581655577712074453070419772
absolute error = 4.27e-29
relative error = 6.0297464204527621864806140169776e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.413
y[1] (analytic) = 7.0865734333804041898868405455907
y[1] (numeric) = 7.086573433380404189886840545548
absolute error = 4.27e-29
relative error = 6.0254790839910121778560700580130e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.414
y[1] (analytic) = 7.0915887012030371723283740491615
y[1] (numeric) = 7.0915887012030371723283740491188
absolute error = 4.27e-29
relative error = 6.0212177833658417307713062178023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.415
y[1] (analytic) = 7.0966039690256701547699075527324
y[1] (numeric) = 7.0966039690256701547699075526896
absolute error = 4.28e-29
relative error = 6.0310537528665609995431159168894e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.416
y[1] (analytic) = 7.1016192368483031372114410563032
y[1] (numeric) = 7.1016192368483031372114410562604
absolute error = 4.28e-29
relative error = 6.0267945341145365920575628689255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.417
y[1] (analytic) = 7.106634504670936119652974559874
y[1] (numeric) = 7.1066345046709361196529745598312
absolute error = 4.28e-29
relative error = 6.0225413269627267567773528739581e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.418
y[1] (analytic) = 7.1116497724935691020945080634449
y[1] (numeric) = 7.111649772493569102094508063402
absolute error = 4.29e-29
relative error = 6.0323555535494128500679767650385e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.419
y[1] (analytic) = 7.1166650403162020845360415670157
y[1] (numeric) = 7.1166650403162020845360415669728
absolute error = 4.29e-29
relative error = 6.0281044220810905013364278032591e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.42
y[1] (analytic) = 7.1216803081388350669775750705866
y[1] (numeric) = 7.1216803081388350669775750705436
absolute error = 4.30e-29
relative error = 6.0379009081408105834079387910217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.421
y[1] (analytic) = 7.1266955759614680494191085741574
y[1] (numeric) = 7.1266955759614680494191085741144
absolute error = 4.30e-29
relative error = 6.0336518575369113500628241261441e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.422
y[1] (analytic) = 7.1317108437841010318606420777282
y[1] (numeric) = 7.1317108437841010318606420776852
absolute error = 4.30e-29
relative error = 6.0294087830941990354706561766884e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.423
y[1] (analytic) = 7.1367261116067340143021755812991
y[1] (numeric) = 7.136726111606734014302175581256
absolute error = 4.31e-29
relative error = 6.0391836993582815428546416821342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.424
y[1] (analytic) = 7.1417413794293669967437090848699
y[1] (numeric) = 7.1417413794293669967437090848268
absolute error = 4.31e-29
relative error = 6.0349426995694063451419628607282e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.425
y[1] (analytic) = 7.1467566472519999791852425884407
y[1] (numeric) = 7.1467566472519999791852425883976
absolute error = 4.31e-29
relative error = 6.0307076520609365863032667464400e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.426
y[1] (analytic) = 7.1517719150746329616267760920116
y[1] (numeric) = 7.1517719150746329616267760919684
absolute error = 4.32e-29
relative error = 6.0404610931372498194425225414468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.427
y[1] (analytic) = 7.1567871828972659440683095955824
y[1] (numeric) = 7.1567871828972659440683095955392
absolute error = 4.32e-29
relative error = 6.0362281140951073878942096314668e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.428
y[1] (analytic) = 7.1618024507198989265098430991532
y[1] (numeric) = 7.16180245071989892650984309911
absolute error = 4.32e-29
relative error = 6.0320010635950407860819587843860e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.429
y[1] (analytic) = 7.1668177185425319089513766027241
y[1] (numeric) = 7.1668177185425319089513766026808
absolute error = 4.33e-29
relative error = 6.0417331234713798807333234251430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 7.1718329863651648913929101062949
y[1] (numeric) = 7.1718329863651648913929101062516
absolute error = 4.33e-29
relative error = 6.0375081352731481465509924297408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.431
y[1] (analytic) = 7.1768482541877978738344436098657
y[1] (numeric) = 7.1768482541877978738344436098224
absolute error = 4.33e-29
relative error = 6.0332890520199873162599015894685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.432
y[1] (analytic) = 7.1818635220104308562759771134366
y[1] (numeric) = 7.1818635220104308562759771133932
absolute error = 4.34e-29
relative error = 6.0429998240694730842254198358628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.433
y[1] (analytic) = 7.1868787898330638387175106170074
y[1] (numeric) = 7.186878789833063838717510616964
absolute error = 4.34e-29
relative error = 6.0387827969766123214311243579592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.434
y[1] (analytic) = 7.1918940576556968211590441205783
y[1] (numeric) = 7.1918940576556968211590441205348
absolute error = 4.35e-29
relative error = 6.0484761943475377012926661334600e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.435
y[1] (analytic) = 7.1969093254783298036005776241491
y[1] (numeric) = 7.1969093254783298036005776241056
absolute error = 4.35e-29
relative error = 6.0442612283584453405252147981754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.436
y[1] (analytic) = 7.2019245933009627860421111277199
y[1] (numeric) = 7.2019245933009627860421111276764
absolute error = 4.35e-29
relative error = 6.0400521327955216320708100524942e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.437
y[1] (analytic) = 7.2069398611235957684836446312908
y[1] (numeric) = 7.2069398611235957684836446312472
absolute error = 4.36e-29
relative error = 6.0497244101052558599141024814250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.438
y[1] (analytic) = 7.2119551289462287509251781348616
y[1] (numeric) = 7.211955128946228750925178134818
absolute error = 4.36e-29
relative error = 6.0455173694862675039614501153045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.439
y[1] (analytic) = 7.2169703967688617333667116384324
y[1] (numeric) = 7.2169703967688617333667116383888
absolute error = 4.36e-29
relative error = 6.0413161760397864285591141527504e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 7.2219856645914947158082451420033
y[1] (numeric) = 7.2219856645914947158082451419596
absolute error = 4.37e-29
relative error = 6.0509674249639835262079495112736e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.441
y[1] (analytic) = 7.2270009324141276982497786455741
y[1] (numeric) = 7.2270009324141276982497786455304
absolute error = 4.37e-29
relative error = 6.0467682803248690338233499626884e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.442
y[1] (analytic) = 7.2320162002367606806913121491449
y[1] (numeric) = 7.2320162002367606806913121491012
absolute error = 4.37e-29
relative error = 6.0425749597421194713865792622982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.443
y[1] (analytic) = 7.2370314680593936631328456527158
y[1] (numeric) = 7.237031468059393663132845652672
absolute error = 4.38e-29
relative error = 6.0522052713617601419142961376716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.444
y[1] (analytic) = 7.2420467358820266455743791562866
y[1] (numeric) = 7.2420467358820266455743791562428
absolute error = 4.38e-29
relative error = 6.0480139934730054603755743259419e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.445
y[1] (analytic) = 7.2470620037046596280159126598574
y[1] (numeric) = 7.2470620037046596280159126598136
absolute error = 4.38e-29
relative error = 6.0438285166609134150742763506299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.446
y[1] (analytic) = 7.2520772715272926104574461634283
y[1] (numeric) = 7.2520772715272926104574461633844
absolute error = 4.39e-29
relative error = 6.0534379814674298007089981722588e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.447
y[1] (analytic) = 7.2570925393499255928989796669991
y[1] (numeric) = 7.2570925393499255928989796669552
absolute error = 4.39e-29
relative error = 6.0492545412590901809434770954294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.448
y[1] (analytic) = 7.2621078071725585753405131705699
y[1] (numeric) = 7.262107807172558575340513170526
absolute error = 4.39e-29
relative error = 6.0450768792830825219787371250597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.449
y[1] (analytic) = 7.2671230749951915577820466741408
y[1] (numeric) = 7.2671230749951915577820466740968
absolute error = 4.40e-29
relative error = 6.0546655871834279495293950224379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 7.2721383428178245402235801777116
y[1] (numeric) = 7.2721383428178245402235801776676
absolute error = 4.40e-29
relative error = 6.0504899557439911026676506120776e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.451
y[1] (analytic) = 7.2771536106404575226651136812825
y[1] (numeric) = 7.2771536106404575226651136812384
absolute error = 4.41e-29
relative error = 6.0600617163719301901522918111224e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.452
y[1] (analytic) = 7.2821688784630905051066471848533
y[1] (numeric) = 7.2821688784630905051066471848092
absolute error = 4.41e-29
relative error = 6.0558881201485335440158232905914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.453
y[1] (analytic) = 7.2871841462857234875481806884241
y[1] (numeric) = 7.28718414628572348754818068838
absolute error = 4.41e-29
relative error = 6.0517202687237926399937890006460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.454
y[1] (analytic) = 7.292199414108356469989714191995
y[1] (numeric) = 7.2921994141083564699897141919508
absolute error = 4.42e-29
relative error = 6.0612714340320180969421302946113e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.455
y[1] (analytic) = 7.2972146819309894524312476955658
y[1] (numeric) = 7.2972146819309894524312476955216
absolute error = 4.42e-29
relative error = 6.0571056117405871566693178339277e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.456
y[1] (analytic) = 7.3022299497536224348727811991366
y[1] (numeric) = 7.3022299497536224348727811990924
memory used=91.5MB, alloc=4.0MB, time=5.72
absolute error = 4.42e-29
relative error = 6.0529455117325235665891878079429e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.457
y[1] (analytic) = 7.3072452175762554173143147027075
y[1] (numeric) = 7.3072452175762554173143147026632
absolute error = 4.43e-29
relative error = 6.0624761700133410569641314198977e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.458
y[1] (analytic) = 7.3122604853988883997558482062783
y[1] (numeric) = 7.312260485398888399755848206234
absolute error = 4.43e-29
relative error = 6.0583180930791755281184770087730e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.459
y[1] (analytic) = 7.3172757532215213821973817098491
y[1] (numeric) = 7.3172757532215213821973817098048
absolute error = 4.43e-29
relative error = 6.0541657160448512131574636592125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 7.32229102104415436463891521342
y[1] (numeric) = 7.3222910210441543646389152133756
absolute error = 4.44e-29
relative error = 6.0636759550248777582463161022035e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.461
y[1] (analytic) = 7.3273062888667873470804487169908
y[1] (numeric) = 7.3273062888667873470804487169464
absolute error = 4.44e-29
relative error = 6.0595255950282830438327320391630e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.462
y[1] (analytic) = 7.3323215566894203295219822205616
y[1] (numeric) = 7.3323215566894203295219822205172
absolute error = 4.44e-29
relative error = 6.0553809126787424945551446711472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.463
y[1] (analytic) = 7.3373368245120533119635157241325
y[1] (numeric) = 7.337336824512053311963515724088
absolute error = 4.45e-29
relative error = 6.0648708195237218961602895007815e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.464
y[1] (analytic) = 7.3423520923346862944050492277033
y[1] (numeric) = 7.3423520923346862944050492276588
absolute error = 4.45e-29
relative error = 6.0607281481989106107120925817236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.465
y[1] (analytic) = 7.3473673601573192768465827312742
y[1] (numeric) = 7.3473673601573192768465827312296
absolute error = 4.46e-29
relative error = 6.0702014495495486287545293993648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.466
y[1] (analytic) = 7.352382627979952259288116234845
y[1] (numeric) = 7.3523826279799522592881162348004
absolute error = 4.46e-29
relative error = 6.0660607937176594414225003888605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.467
y[1] (analytic) = 7.3573978958025852417296497384158
y[1] (numeric) = 7.3573978958025852417296497383712
absolute error = 4.46e-29
relative error = 6.0619257829516624002218033879138e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.468
y[1] (analytic) = 7.3624131636252182241711832419867
y[1] (numeric) = 7.362413163625218224171183241942
absolute error = 4.47e-29
relative error = 6.0713789088671473761364220711823e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.469
y[1] (analytic) = 7.3674284314478512066127167455575
y[1] (numeric) = 7.3674284314478512066127167455128
absolute error = 4.47e-29
relative error = 6.0672459075677143282289091902625e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 7.3724436992704841890542502491283
y[1] (numeric) = 7.3724436992704841890542502490836
absolute error = 4.47e-29
relative error = 6.0631185293993009171212704765277e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.471
y[1] (analytic) = 7.3774589670931171714957837526992
y[1] (numeric) = 7.3774589670931171714957837526544
absolute error = 4.48e-29
relative error = 6.0725515654954833142156013806402e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.472
y[1] (analytic) = 7.38247423491575015393731725627
y[1] (numeric) = 7.3824742349157501539373172562252
absolute error = 4.48e-29
relative error = 6.0684261907906630130510527383980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.473
y[1] (analytic) = 7.3874895027383831363788507598408
y[1] (numeric) = 7.387489502738383136378850759796
absolute error = 4.48e-29
relative error = 6.0643064174092708453571959476727e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.474
y[1] (analytic) = 7.3925047705610161188203842634117
y[1] (numeric) = 7.3925047705610161188203842633668
absolute error = 4.49e-29
relative error = 6.0737194487589820639443905436553e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.475
y[1] (analytic) = 7.3975200383836491012619177669825
y[1] (numeric) = 7.3975200383836491012619177669376
absolute error = 4.49e-29
relative error = 6.0696016728615183472908689229478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.476
y[1] (analytic) = 7.4025353062062820837034512705533
y[1] (numeric) = 7.4025353062062820837034512705084
absolute error = 4.49e-29
relative error = 6.0654894766061921153482599331626e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.477
y[1] (analytic) = 7.4075505740289150661449847741242
y[1] (numeric) = 7.4075505740289150661449847740792
absolute error = 4.50e-29
relative error = 6.0748825877438206968834892970712e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.478
y[1] (analytic) = 7.412565841851548048586518277695
y[1] (numeric) = 7.41256584185154804858651827765
absolute error = 4.50e-29
relative error = 6.0707723830159831997949348388188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.479
y[1] (analytic) = 7.4175811096741810310280517812659
y[1] (numeric) = 7.4175811096741810310280517812208
absolute error = 4.51e-29
relative error = 6.0801492202329322355238645856662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 7.4225963774968140134695852848367
y[1] (numeric) = 7.4225963774968140134695852847916
absolute error = 4.51e-29
relative error = 6.0760410113003424164458079204056e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.481
y[1] (analytic) = 7.4276116453194469959111187884075
y[1] (numeric) = 7.4276116453194469959111187883624
absolute error = 4.51e-29
relative error = 6.0719383502528742581632651736667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.482
y[1] (analytic) = 7.4326269131420799783526522919784
y[1] (numeric) = 7.4326269131420799783526522919332
absolute error = 4.52e-29
relative error = 6.0812954192654456028223196711379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.483
y[1] (analytic) = 7.4376421809647129607941857955492
y[1] (numeric) = 7.437642180964712960794185795504
absolute error = 4.52e-29
relative error = 6.0771947480454419308042331440502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.484
y[1] (analytic) = 7.44265744878734594323571929912
y[1] (numeric) = 7.4426574487873459432357192990748
absolute error = 4.52e-29
relative error = 6.0730996033365164308508610192901e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.485
y[1] (analytic) = 7.4476727166099789256772528026909
y[1] (numeric) = 7.4476727166099789256772528026456
absolute error = 4.53e-29
relative error = 6.0824369871907568959094678673755e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.486
y[1] (analytic) = 7.4526879844326119081187863062617
y[1] (numeric) = 7.4526879844326119081187863062164
absolute error = 4.53e-29
relative error = 6.0783438263649219316457333667918e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.487
y[1] (analytic) = 7.4577032522552448905603198098325
y[1] (numeric) = 7.4577032522552448905603198097872
absolute error = 4.53e-29
relative error = 6.0742561707991082652491995851060e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.488
y[1] (analytic) = 7.4627185200778778730018533134034
y[1] (numeric) = 7.462718520077877873001853313358
absolute error = 4.54e-29
relative error = 6.0835739520195951595890065950798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.489
y[1] (analytic) = 7.4677337879005108554433868169742
y[1] (numeric) = 7.4677337879005108554433868169288
absolute error = 4.54e-29
relative error = 6.0794882744158210862783356705700e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 7.472749055723143837884920320545
y[1] (numeric) = 7.4727490557231438378849203204996
absolute error = 4.54e-29
relative error = 6.0754080809430587902472763848851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.491
y[1] (analytic) = 7.4777643235457768203264538241159
y[1] (numeric) = 7.4777643235457768203264538240704
absolute error = 4.55e-29
relative error = 6.0847063415372509755273801769986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.492
y[1] (analytic) = 7.4827795913684098027679873276867
y[1] (numeric) = 7.4827795913684098027679873276412
absolute error = 4.55e-29
relative error = 6.0806281201287139440424422546280e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.493
y[1] (analytic) = 7.4877948591910427852095208312576
y[1] (numeric) = 7.487794859191042785209520831212
absolute error = 4.56e-29
relative error = 6.0899104285726221108869429834769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.494
y[1] (analytic) = 7.4928101270136757676510543348284
y[1] (numeric) = 7.4928101270136757676510543347828
absolute error = 4.56e-29
relative error = 6.0858341833058399006386920176246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.495
y[1] (analytic) = 7.4978253948363087500925878383992
y[1] (numeric) = 7.4978253948363087500925878383536
absolute error = 4.56e-29
relative error = 6.0817633912099831515412748323285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.496
y[1] (analytic) = 7.5028406626589417325341213419701
y[1] (numeric) = 7.5028406626589417325341213419244
absolute error = 4.57e-29
relative error = 6.0910263265279468038750587598645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.497
y[1] (analytic) = 7.5078559304815747149756548455409
y[1] (numeric) = 7.5078559304815747149756548454952
absolute error = 4.57e-29
relative error = 6.0869575046665386897776138308332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.498
y[1] (analytic) = 7.5128711983042076974171883491117
y[1] (numeric) = 7.512871198304207697417188349066
absolute error = 4.57e-29
relative error = 6.0828941151440643648845713649915e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.499
y[1] (analytic) = 7.5178864661268406798587218526826
y[1] (numeric) = 7.5178864661268406798587218526368
absolute error = 4.58e-29
relative error = 6.0921377579137371752101200368135e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 7.5229017339494736623002553562534
y[1] (numeric) = 7.5229017339494736623002553562076
absolute error = 4.58e-29
relative error = 6.0880763327417946837599799567890e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.501
y[1] (analytic) = 7.5279170017721066447417888598242
y[1] (numeric) = 7.5279170017721066447417888597784
absolute error = 4.58e-29
relative error = 6.0840203191956642409326914957918e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.502
y[1] (analytic) = 7.5329322695947396271833223633951
y[1] (numeric) = 7.5329322695947396271833223633492
absolute error = 4.59e-29
relative error = 6.0932447494937254545158801368905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.503
y[1] (analytic) = 7.5379475374173726096248558669659
y[1] (numeric) = 7.53794753741737260962485586692
absolute error = 4.59e-29
relative error = 6.0891906944375087376466080942180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.504
y[1] (analytic) = 7.5429628052400055920663893705367
y[1] (numeric) = 7.5429628052400055920663893704908
absolute error = 4.59e-29
relative error = 6.0851420304119518834327473175596e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.505
y[1] (analytic) = 7.5479780730626385745079228741076
y[1] (numeric) = 7.5479780730626385745079228740616
absolute error = 4.60e-29
relative error = 6.0943473278182453420104544824158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.506
y[1] (analytic) = 7.5529933408852715569494563776784
y[1] (numeric) = 7.5529933408852715569494563776324
absolute error = 4.60e-29
relative error = 6.0903006164451920582508193864780e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.507
y[1] (analytic) = 7.5580086087079045393909898812492
y[1] (numeric) = 7.5580086087079045393909898812032
absolute error = 4.60e-29
relative error = 6.0862592756247241139520464472700e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.508
y[1] (analytic) = 7.5630238765305375218325233848201
y[1] (numeric) = 7.563023876530537521832523384774
absolute error = 4.61e-29
relative error = 6.0954455192263546729234854286883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.509
y[1] (analytic) = 7.5680391443531705042740568883909
y[1] (numeric) = 7.5680391443531705042740568883448
absolute error = 4.61e-29
relative error = 6.0914061252440973139619721845341e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 7.5730544121758034867155903919618
y[1] (numeric) = 7.5730544121758034867155903919156
absolute error = 4.62e-29
relative error = 6.1005767931259777839811245409855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.511
y[1] (analytic) = 7.5780696799984364691571238955326
y[1] (numeric) = 7.5780696799984364691571238954864
absolute error = 4.62e-29
relative error = 6.0965393498479327953749159873515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.512
y[1] (analytic) = 7.5830849478210694515986573991034
y[1] (numeric) = 7.5830849478210694515986573990572
absolute error = 4.62e-29
relative error = 6.0925072471033243742139537413281e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.513
y[1] (analytic) = 7.5881002156437024340401909026743
y[1] (numeric) = 7.588100215643702434040190902628
absolute error = 4.63e-29
relative error = 6.1016590034680172246228553121707e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=95.3MB, alloc=4.0MB, time=5.96
x[1] = 1.514
y[1] (analytic) = 7.5931154834663354164817244062451
y[1] (numeric) = 7.5931154834663354164817244061988
absolute error = 4.63e-29
relative error = 6.0976288456057530124533554077373e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.515
y[1] (analytic) = 7.5981307512889683989232579098159
y[1] (numeric) = 7.5981307512889683989232579097696
absolute error = 4.63e-29
relative error = 6.0936040080839010302669175493824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.516
y[1] (analytic) = 7.6031460191116013813647914133868
y[1] (numeric) = 7.6031460191116013813647914133404
absolute error = 4.64e-29
relative error = 6.1027369306556686463702256713327e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.517
y[1] (analytic) = 7.6081612869342343638063249169576
y[1] (numeric) = 7.6081612869342343638063249169112
absolute error = 4.64e-29
relative error = 6.0987140322175304336830996161770e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.518
y[1] (analytic) = 7.6131765547568673462478584205284
y[1] (numeric) = 7.613176554756867346247858420482
absolute error = 4.64e-29
relative error = 6.0946964340408390434105811052309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.519
y[1] (analytic) = 7.6181918225795003286893919240993
y[1] (numeric) = 7.6181918225795003286893919240528
absolute error = 4.65e-29
relative error = 6.1038106000664103192496011508667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 7.6232070904021333111309254276701
y[1] (numeric) = 7.6232070904021333111309254276236
absolute error = 4.65e-29
relative error = 6.0997949351979455756185158869517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.521
y[1] (analytic) = 7.6282223582247662935724589312409
y[1] (numeric) = 7.6282223582247662935724589311944
absolute error = 4.65e-29
relative error = 6.0957845506251658612361237003068e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.522
y[1] (analytic) = 7.6332376260473992760139924348118
y[1] (numeric) = 7.6332376260473992760139924347652
absolute error = 4.66e-29
relative error = 6.1048800368776352706852997231227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.523
y[1] (analytic) = 7.6382528938700322584555259383826
y[1] (numeric) = 7.638252893870032258455525938336
absolute error = 4.66e-29
relative error = 6.1008715798606440459507722774739e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.524
y[1] (analytic) = 7.6432681616926652408970594419535
y[1] (numeric) = 7.6432681616926652408970594419068
absolute error = 4.67e-29
relative error = 6.1099517918337562263949528930570e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.525
y[1] (analytic) = 7.6482834295152982233385929455243
y[1] (numeric) = 7.6482834295152982233385929454776
absolute error = 4.67e-29
relative error = 6.1059452660686193370661693173895e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.526
y[1] (analytic) = 7.6532986973379312057801264490951
y[1] (numeric) = 7.6532986973379312057801264490484
absolute error = 4.67e-29
relative error = 6.1019439913202126402528887346127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.527
y[1] (analytic) = 7.658313965160564188221659952666
y[1] (numeric) = 7.6583139651605641882216599526192
absolute error = 4.68e-29
relative error = 6.1110056616774905671701311325770e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.528
y[1] (analytic) = 7.6633292329831971706631934562368
y[1] (numeric) = 7.66332923298319717066319345619
absolute error = 4.68e-29
relative error = 6.1070063124224660314586323556578e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.529
y[1] (analytic) = 7.6683445008058301531047269598076
y[1] (numeric) = 7.6683445008058301531047269597608
absolute error = 4.68e-29
relative error = 6.1030121944941321753229497968902e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 7.6733597686284631355462604633785
y[1] (numeric) = 7.6733597686284631355462604633316
absolute error = 4.69e-29
relative error = 6.1120553986983083026873674966479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.531
y[1] (analytic) = 7.6783750364510961179877939669493
y[1] (numeric) = 7.6783750364510961179877939669024
absolute error = 4.69e-29
relative error = 6.1080632005280285454681072958010e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.532
y[1] (analytic) = 7.6833903042737291004293274705201
y[1] (numeric) = 7.6833903042737291004293274704732
absolute error = 4.69e-29
relative error = 6.1040762141047073780102299411693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.533
y[1] (analytic) = 7.688405572096362082870860974091
y[1] (numeric) = 7.688405572096362082870860974044
absolute error = 4.70e-29
relative error = 6.1131010271593576713336949121314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.534
y[1] (analytic) = 7.6934208399189950653123944776618
y[1] (numeric) = 7.6934208399189950653123944776148
absolute error = 4.70e-29
relative error = 6.1091159547818091982754591266607e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.535
y[1] (analytic) = 7.6984361077416280477539279812326
y[1] (numeric) = 7.6984361077416280477539279811856
absolute error = 4.70e-29
relative error = 6.1051360746809741434231624106173e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.536
y[1] (analytic) = 7.7034513755642610301954614848035
y[1] (numeric) = 7.7034513755642610301954614847564
absolute error = 4.71e-29
relative error = 6.1141425711342310658837476111482e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.537
y[1] (analytic) = 7.7084666433868940126369949883743
y[1] (numeric) = 7.7084666433868940126369949883272
absolute error = 4.71e-29
relative error = 6.1101645993898366409872715229171e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.538
y[1] (analytic) = 7.7134819112095269950785284919452
y[1] (numeric) = 7.713481911209526995078528491898
absolute error = 4.72e-29
relative error = 6.1191561143621993005463708460011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.539
y[1] (analytic) = 7.718497179032159977520061995516
y[1] (numeric) = 7.7184971790321599775200619954688
absolute error = 4.72e-29
relative error = 6.1151800545088125563614804166015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 7.7235124468547929599615954990868
y[1] (numeric) = 7.7235124468547929599615954990396
absolute error = 4.72e-29
relative error = 6.1112091583695211196365703643830e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.541
y[1] (analytic) = 7.7285277146774259424031290026577
y[1] (numeric) = 7.7285277146774259424031290026104
absolute error = 4.73e-29
relative error = 6.1201824909253381773414668342478e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.542
y[1] (analytic) = 7.7335429825000589248446625062285
y[1] (numeric) = 7.7335429825000589248446625061812
absolute error = 4.73e-29
relative error = 6.1162135009831038464871597870142e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.543
y[1] (analytic) = 7.7385582503226919072861960097993
y[1] (numeric) = 7.738558250322691907286196009752
absolute error = 4.73e-29
relative error = 6.1122496555514880954524953931147e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.544
y[1] (analytic) = 7.7435735181453248897277295133702
y[1] (numeric) = 7.7435735181453248897277295133228
absolute error = 4.74e-29
relative error = 6.1212048789785166699003124494832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.545
y[1] (analytic) = 7.748588785967957872169263016941
y[1] (numeric) = 7.7485887859679578721692630168936
absolute error = 4.74e-29
relative error = 6.1172429340730289568453607909399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.546
y[1] (analytic) = 7.7536040537905908546107965205118
y[1] (numeric) = 7.7536040537905908546107965204644
absolute error = 4.74e-29
relative error = 6.1132861145813905163816833260040e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.547
y[1] (analytic) = 7.7586193216132238370523300240827
y[1] (numeric) = 7.7586193216132238370523300240352
absolute error = 4.75e-29
relative error = 6.1222233017257358405746376550926e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.548
y[1] (analytic) = 7.7636345894358568194938635276535
y[1] (numeric) = 7.763634589435856819493863527606
absolute error = 4.75e-29
relative error = 6.1182683771122179233649641165557e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.549
y[1] (analytic) = 7.7686498572584898019353970312243
y[1] (numeric) = 7.7686498572584898019353970311768
absolute error = 4.75e-29
relative error = 6.1143185589217000292891959021487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 7.7736651250811227843769305347952
y[1] (numeric) = 7.7736651250811227843769305347476
absolute error = 4.76e-29
relative error = 6.1232377821913528725237719244222e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.551
y[1] (analytic) = 7.778680392903755766818464038366
y[1] (numeric) = 7.7786803929037557668184640383184
absolute error = 4.76e-29
relative error = 6.1192898532537697952365225550319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.552
y[1] (analytic) = 7.7836956607263887492599975419369
y[1] (numeric) = 7.7836956607263887492599975418892
absolute error = 4.77e-29
relative error = 6.1281943795254385048033044544333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.553
y[1] (analytic) = 7.7887109285490217317015310455077
y[1] (numeric) = 7.78871092854902173170153104546
absolute error = 4.77e-29
relative error = 6.1242483432218162005503725133809e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.554
y[1] (analytic) = 7.7937261963716547141430645490785
y[1] (numeric) = 7.7937261963716547141430645490308
absolute error = 4.77e-29
relative error = 6.1203073854719952120043298026259e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.555
y[1] (analytic) = 7.7987414641942876965845980526494
y[1] (numeric) = 7.7987414641942876965845980526016
absolute error = 4.78e-29
relative error = 6.1291940782317454446929971342165e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.556
y[1] (analytic) = 7.8037567320169206790261315562202
y[1] (numeric) = 7.8037567320169206790261315561724
absolute error = 4.78e-29
relative error = 6.1252550074873805697285414805313e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.557
y[1] (analytic) = 7.808771999839553661467665059791
y[1] (numeric) = 7.8087719998395536614676650597432
absolute error = 4.78e-29
relative error = 6.1213209965641388352585809529266e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.558
y[1] (analytic) = 7.8137872676621866439091985633619
y[1] (numeric) = 7.813787267662186643909198563314
absolute error = 4.79e-29
relative error = 6.1301899270072193668424214211379e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.559
y[1] (analytic) = 7.8188025354848196263507320669327
y[1] (numeric) = 7.8188025354848196263507320668848
absolute error = 4.79e-29
relative error = 6.1262577974838022922004442425484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 7.8238178033074526087922655705035
y[1] (numeric) = 7.8238178033074526087922655704556
absolute error = 4.79e-29
relative error = 6.1223307091520819061157003680339e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.561
y[1] (analytic) = 7.8288330711300855912337990740744
y[1] (numeric) = 7.8288330711300855912337990740264
absolute error = 4.80e-29
relative error = 6.1311819480487709036408549676868e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.562
y[1] (analytic) = 7.8338483389527185736753325776452
y[1] (numeric) = 7.8338483389527185736753325775972
absolute error = 4.80e-29
relative error = 6.1272567355340149683632359824322e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.563
y[1] (analytic) = 7.838863606775351556116866081216
y[1] (numeric) = 7.838863606775351556116866081168
absolute error = 4.80e-29
relative error = 6.1233365456840251955107962921044e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.564
y[1] (analytic) = 7.8438788745979845385583995847869
y[1] (numeric) = 7.8438788745979845385583995847388
absolute error = 4.81e-29
relative error = 6.1321701633830019102469671579189e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.565
y[1] (analytic) = 7.8488941424206175209999330883577
y[1] (numeric) = 7.8488941424206175209999330883096
absolute error = 4.81e-29
relative error = 6.1282518437897859345854674983931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.566
y[1] (analytic) = 7.8539094102432505034414665919285
y[1] (numeric) = 7.8539094102432505034414665918804
absolute error = 4.81e-29
relative error = 6.1243385284361526102338803543967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.567
y[1] (analytic) = 7.8589246780658834858830000954994
y[1] (numeric) = 7.8589246780658834858830000954512
absolute error = 4.82e-29
relative error = 6.1331545948678357336752639855848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.568
y[1] (analytic) = 7.8639399458885164683245335990702
y[1] (numeric) = 7.863939945888516468324533599022
absolute error = 4.82e-29
relative error = 6.1292431442333536955798078223287e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.569
y[1] (analytic) = 7.8689552137111494507660671026411
y[1] (numeric) = 7.8689552137111494507660671025928
absolute error = 4.83e-29
relative error = 6.1380448468991601030669347965822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 7.8739704815337824332076006062119
y[1] (numeric) = 7.8739704815337824332076006061636
absolute error = 4.83e-29
relative error = 6.1341352641941287908993762393870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.571
y[1] (analytic) = 7.8789857493564154156491341097827
y[1] (numeric) = 7.8789857493564154156491341097344
absolute error = 4.83e-29
relative error = 6.1302306586790465956155446822645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=99.1MB, alloc=4.0MB, time=6.20
TOP MAIN SOLVE Loop
x[1] = 1.572
y[1] (analytic) = 7.8840010171790483980906676133536
y[1] (numeric) = 7.8840010171790483980906676133052
absolute error = 4.84e-29
relative error = 6.1390149360125100564598617851550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.573
y[1] (analytic) = 7.8890162850016813805322011169244
y[1] (numeric) = 7.889016285001681380532201116876
absolute error = 4.84e-29
relative error = 6.1351121928872637055021632080507e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.574
y[1] (analytic) = 7.8940315528243143629737346204952
y[1] (numeric) = 7.8940315528243143629737346204468
absolute error = 4.84e-29
relative error = 6.1312144087748829788785913127470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.575
y[1] (analytic) = 7.8990468206469473454152681240661
y[1] (numeric) = 7.8990468206469473454152681240176
absolute error = 4.85e-29
relative error = 6.1399813295482853433636728613904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.576
y[1] (analytic) = 7.9040620884695803278568016276369
y[1] (numeric) = 7.9040620884695803278568016275884
absolute error = 4.85e-29
relative error = 6.1360854023087242486026553024682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.577
y[1] (analytic) = 7.9090773562922133102983351312077
y[1] (numeric) = 7.9090773562922133102983351311592
absolute error = 4.85e-29
relative error = 6.1321944160041530854773524138808e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.578
y[1] (analytic) = 7.9140926241148462927398686347786
y[1] (numeric) = 7.91409262411484629273986863473
absolute error = 4.86e-29
relative error = 6.1409440485839246025606253403777e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.579
y[1] (analytic) = 7.9191078919374792751814021383494
y[1] (numeric) = 7.9191078919374792751814021383008
absolute error = 4.86e-29
relative error = 6.1370549136576523260548871356023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 7.9241231597601122576229356419202
y[1] (numeric) = 7.9241231597601122576229356418716
absolute error = 4.86e-29
relative error = 6.1331707016869829258485232829849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.581
y[1] (analytic) = 7.9291384275827452400644691454911
y[1] (numeric) = 7.9291384275827452400644691454424
absolute error = 4.87e-29
relative error = 6.1419031140368859139048379617598e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.582
y[1] (analytic) = 7.9341536954053782225060026490619
y[1] (numeric) = 7.9341536954053782225060026490132
absolute error = 4.87e-29
relative error = 6.1380207479723872502424455230988e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.583
y[1] (analytic) = 7.9391689632280112049475361526328
y[1] (numeric) = 7.939168963228011204947536152584
absolute error = 4.88e-29
relative error = 6.1467390637518636998903542943578e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.584
y[1] (analytic) = 7.9441842310506441873890696562036
y[1] (numeric) = 7.9441842310506441873890696561548
absolute error = 4.88e-29
relative error = 6.1428585466661617657363831110912e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.585
y[1] (analytic) = 7.9491994988732771698306031597744
y[1] (numeric) = 7.9491994988732771698306031597256
absolute error = 4.88e-29
relative error = 6.1389829261319875311838680428823e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.586
y[1] (analytic) = 7.9542147666959101522721366633453
y[1] (numeric) = 7.9542147666959101522721366632964
absolute error = 4.89e-29
relative error = 6.1476841441021966229314709195426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.587
y[1] (analytic) = 7.9592300345185431347136701669161
y[1] (numeric) = 7.9592300345185431347136701668672
absolute error = 4.89e-29
relative error = 6.1438103670737768393001341388750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.588
y[1] (analytic) = 7.9642453023411761171552036704869
y[1] (numeric) = 7.964245302341176117155203670438
absolute error = 4.89e-29
relative error = 6.1399414688577354181166957672510e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.589
y[1] (analytic) = 7.9692605701638090995967371740578
y[1] (numeric) = 7.9692605701638090995967371740088
absolute error = 4.90e-29
relative error = 6.1486256558671915991266173120332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 7.9742758379864420820382706776286
y[1] (numeric) = 7.9742758379864420820382706775796
absolute error = 4.90e-29
relative error = 6.1447585957062688371145879929690e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.591
y[1] (analytic) = 7.9792911058090750644798041811994
y[1] (numeric) = 7.9792911058090750644798041811504
absolute error = 4.90e-29
relative error = 6.1408963967146244192408516083097e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.592
y[1] (analytic) = 7.9843063736317080469213376847703
y[1] (numeric) = 7.9843063736317080469213376847212
absolute error = 4.91e-29
relative error = 6.1495636192210119711401237055571e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.593
y[1] (analytic) = 7.9893216414543410293628711883411
y[1] (numeric) = 7.989321641454341029362871188292
absolute error = 4.91e-29
relative error = 6.1457032528561525788167463523207e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.594
y[1] (analytic) = 7.9943369092769740118044046919119
y[1] (numeric) = 7.9943369092769740118044046918628
absolute error = 4.91e-29
relative error = 6.1418477301128300238739504010332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.595
y[1] (analytic) = 7.9993521770996069942459381954828
y[1] (numeric) = 7.9993521770996069942459381954336
absolute error = 4.92e-29
relative error = 6.1504980541860405423811654982276e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.596
y[1] (analytic) = 8.0043674449222399766874716990536
y[1] (numeric) = 8.0043674449222399766874716990044
absolute error = 4.92e-29
relative error = 6.1466443586633675846478439659606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.597
y[1] (analytic) = 8.0093827127448729591290052026245
y[1] (numeric) = 8.0093827127448729591290052025752
absolute error = 4.93e-29
relative error = 6.1552808459947515792992116468999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.598
y[1] (analytic) = 8.0143979805675059415705387061953
y[1] (numeric) = 8.014397980567505941570538706146
absolute error = 4.93e-29
relative error = 6.1514289806343043004636051314763e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.599
y[1] (analytic) = 8.0194132483901389240120722097661
y[1] (numeric) = 8.0194132483901389240120722097168
absolute error = 4.93e-29
relative error = 6.1475819331167093634401757348963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 8.024428516212771906453605713337
y[1] (numeric) = 8.0244285162127719064536057132876
absolute error = 4.94e-29
relative error = 6.1562016410503136744898268940783e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.601
y[1] (analytic) = 8.0294437840354048888951392169078
y[1] (numeric) = 8.0294437840354048888951392168584
absolute error = 4.94e-29
relative error = 6.1523564182888831225382404937698e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.602
y[1] (analytic) = 8.0344590518580378713366727204786
y[1] (numeric) = 8.0344590518580378713366727204292
absolute error = 4.94e-29
relative error = 6.1485159960552446187164313548848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.603
y[1] (analytic) = 8.0394743196806708537782062240495
y[1] (numeric) = 8.039474319680670853778206224
absolute error = 4.95e-29
relative error = 6.1571189895866409770596413355905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.604
y[1] (analytic) = 8.0444895875033038362197397276203
y[1] (numeric) = 8.0444895875033038362197397275708
absolute error = 4.95e-29
relative error = 6.1532803867253026722111004120646e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.605
y[1] (analytic) = 8.0495048553259368186612732311911
y[1] (numeric) = 8.0495048553259368186612732311416
absolute error = 4.95e-29
relative error = 6.1494465671697105833187570473219e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.606
y[1] (analytic) = 8.054520123148569801102806734762
y[1] (numeric) = 8.0545201231485698011028067347124
absolute error = 4.96e-29
relative error = 6.1580329109179757741404029211567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.607
y[1] (analytic) = 8.0595353909712027835443402383328
y[1] (numeric) = 8.0595353909712027835443402382832
absolute error = 4.96e-29
relative error = 6.1542009053729116946294256946968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.608
y[1] (analytic) = 8.0645506587938357659858737419036
y[1] (numeric) = 8.064550658793835765985873741854
absolute error = 4.96e-29
relative error = 6.1503736660038986898442083901603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.609
y[1] (analytic) = 8.0695659266164687484274072454745
y[1] (numeric) = 8.0695659266164687484274072454248
absolute error = 4.97e-29
relative error = 6.1589434242145137975838217040422e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 8.0745811944391017308689407490453
y[1] (numeric) = 8.0745811944391017308689407489956
absolute error = 4.97e-29
relative error = 6.1551179935162439132374963489465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.611
y[1] (analytic) = 8.0795964622617347133104742526162
y[1] (numeric) = 8.0795964622617347133104742525664
absolute error = 4.98e-29
relative error = 6.1636741677144856035724712304345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.612
y[1] (analytic) = 8.084611730084367695752007756187
y[1] (numeric) = 8.0846117300843676957520077561372
absolute error = 4.98e-29
relative error = 6.1598505485037446075404783822767e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.613
y[1] (analytic) = 8.0896269979070006781935412597578
y[1] (numeric) = 8.089626997907000678193541259708
absolute error = 4.98e-29
relative error = 6.1560316702963647286765351222753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.614
y[1] (analytic) = 8.0946422657296336606350747633287
y[1] (numeric) = 8.0946422657296336606350747632788
absolute error = 4.99e-29
relative error = 6.1645713747304336520434530251897e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.615
y[1] (analytic) = 8.0996575335522666430766082668995
y[1] (numeric) = 8.0996575335522666430766082668496
absolute error = 4.99e-29
relative error = 6.1607543026717770367790298344620e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.616
y[1] (analytic) = 8.1046728013748996255181417704703
y[1] (numeric) = 8.1046728013748996255181417704204
absolute error = 4.99e-29
relative error = 6.1569419547122029173255774645150e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.617
y[1] (analytic) = 8.1096880691975326079596752740412
y[1] (numeric) = 8.1096880691975326079596752739912
absolute error = 5.00e-29
relative error = 6.1654652525923336558076779301684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.618
y[1] (analytic) = 8.114703337020165590401208777612
y[1] (numeric) = 8.114703337020165590401208777562
absolute error = 5.00e-29
relative error = 6.1616547054646498896421602058606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.619
y[1] (analytic) = 8.1197186048427985728427422811828
y[1] (numeric) = 8.1197186048427985728427422811328
absolute error = 5.00e-29
relative error = 6.1578488656218675240525109407550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 8.1247338726654315552842757847537
y[1] (numeric) = 8.1247338726654315552842757847036
absolute error = 5.01e-29
relative error = 6.1663558197954858817801834836472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.621
y[1] (analytic) = 8.1297491404880645377258092883245
y[1] (numeric) = 8.1297491404880645377258092882744
absolute error = 5.01e-29
relative error = 6.1625517754896280866649582008072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.622
y[1] (analytic) = 8.1347644083106975201673427918953
y[1] (numeric) = 8.1347644083106975201673427918452
absolute error = 5.01e-29
relative error = 6.1587524217439501408655346754060e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.623
y[1] (analytic) = 8.1397796761333305026088762954662
y[1] (numeric) = 8.139779676133330502608876295416
absolute error = 5.02e-29
relative error = 6.1672430946984416115383729352647e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.624
y[1] (analytic) = 8.144794943955963485050409799037
y[1] (numeric) = 8.1447949439559634850504097989868
absolute error = 5.02e-29
relative error = 6.1634455312164844430583616218810e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.625
y[1] (analytic) = 8.1498102117785964674919433026078
y[1] (numeric) = 8.1498102117785964674919433025576
absolute error = 5.02e-29
relative error = 6.1596526416588127603241718608829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.626
y[1] (analytic) = 8.1548254796012294499334768061787
y[1] (numeric) = 8.1548254796012294499334768061284
absolute error = 5.03e-29
relative error = 6.1681270955242646633269749719316e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.627
y[1] (analytic) = 8.1598407474238624323750103097495
y[1] (numeric) = 8.1598407474238624323750103096992
absolute error = 5.03e-29
relative error = 6.1643359909787672664841188103017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.628
y[1] (analytic) = 8.1648560152464954148165438133204
y[1] (numeric) = 8.16485601524649541481654381327
absolute error = 5.04e-29
relative error = 6.1727971572170380525875573309502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.629
y[1] (analytic) = 8.1698712830691283972580773168912
y[1] (numeric) = 8.1698712830691283972580773168408
absolute error = 5.04e-29
relative error = 6.1690078403617789745933353804709e-28 %
Correct digits = 29
h = 0.001
memory used=103.0MB, alloc=4.0MB, time=6.44
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 8.174886550891761379699610820462
y[1] (numeric) = 8.1748865508917613796996108204116
absolute error = 5.04e-29
relative error = 6.1652231729750539568175112483356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.631
y[1] (analytic) = 8.1799018187143943621411443240329
y[1] (numeric) = 8.1799018187143943621411443239824
absolute error = 5.05e-29
relative error = 6.1736682321129500653926581025219e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.632
y[1] (analytic) = 8.1849170865370273445826778276037
y[1] (numeric) = 8.1849170865370273445826778275532
absolute error = 5.05e-29
relative error = 6.1698853471668024244212165228022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.633
y[1] (analytic) = 8.1899323543596603270242113311745
y[1] (numeric) = 8.189932354359660327024211331124
absolute error = 5.05e-29
relative error = 6.1661070952701907879090173700020e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.634
y[1] (analytic) = 8.1949476221822933094657448347454
y[1] (numeric) = 8.1949476221822933094657448346948
absolute error = 5.06e-29
relative error = 6.1745361084474327807211183571844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.635
y[1] (analytic) = 8.1999628900049262919072783383162
y[1] (numeric) = 8.1999628900049262919072783382656
absolute error = 5.06e-29
relative error = 6.1707596337633670725983531471800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.636
y[1] (analytic) = 8.204978157827559274348811841887
y[1] (numeric) = 8.2049781578275592743488118418364
absolute error = 5.06e-29
relative error = 6.1669877757965190487153468188505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.637
y[1] (analytic) = 8.2099934256501922567903453454579
y[1] (numeric) = 8.2099934256501922567903453454072
absolute error = 5.07e-29
relative error = 6.1754008038057353517050637911213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.638
y[1] (analytic) = 8.2150086934728252392318788490287
y[1] (numeric) = 8.215008693472825239231878848978
absolute error = 5.07e-29
relative error = 6.1716307178449259894634856080986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.639
y[1] (analytic) = 8.2200239612954582216734123525995
y[1] (numeric) = 8.2200239612954582216734123525488
absolute error = 5.07e-29
relative error = 6.1678652323550877185730258853359e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 8.2250392291180912041149458561704
y[1] (numeric) = 8.2250392291180912041149458561196
absolute error = 5.08e-29
relative error = 6.1762623356444343766976045466413e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.641
y[1] (analytic) = 8.2300544969407241865564793597412
y[1] (numeric) = 8.2300544969407241865564793596904
absolute error = 5.08e-29
relative error = 6.1724986169755468481316706011528e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.642
y[1] (analytic) = 8.2350697647633571689980128633121
y[1] (numeric) = 8.2350697647633571689980128632612
absolute error = 5.09e-29
relative error = 6.1808826705747600394804832441643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.643
y[1] (analytic) = 8.2400850325859901514395463668829
y[1] (numeric) = 8.240085032585990151439546366832
absolute error = 5.09e-29
relative error = 6.1771207212926086334917550133401e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.644
y[1] (analytic) = 8.2451003004086231338810798704537
y[1] (numeric) = 8.2451003004086231338810798704028
absolute error = 5.09e-29
relative error = 6.1733633485910924481915775467870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.645
y[1] (analytic) = 8.2501155682312561163226133740246
y[1] (numeric) = 8.2501155682312561163226133739736
absolute error = 5.10e-29
relative error = 6.1817315864502368339634258464097e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.646
y[1] (analytic) = 8.2551308360538890987641468775954
y[1] (numeric) = 8.2551308360538890987641468775444
absolute error = 5.10e-29
relative error = 6.1779759779530009671141163531859e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.647
y[1] (analytic) = 8.2601461038765220812056803811662
y[1] (numeric) = 8.2601461038765220812056803811152
absolute error = 5.10e-29
relative error = 6.1742249300003883375044538660255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.648
y[1] (analytic) = 8.2651613716991550636472138847371
y[1] (numeric) = 8.265161371699155063647213884686
absolute error = 5.11e-29
relative error = 6.1825774116125747566217946285013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.649
y[1] (analytic) = 8.2701766395217880460887473883079
y[1] (numeric) = 8.2701766395217880460887473882568
absolute error = 5.11e-29
relative error = 6.1788281227031674947924302897333e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 8.2751919073444210285302808918787
y[1] (numeric) = 8.2751919073444210285302808918276
absolute error = 5.11e-29
relative error = 6.1750833783863776963107379077395e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.651
y[1] (analytic) = 8.2802071751670540109718143954496
y[1] (numeric) = 8.2802071751670540109718143953984
absolute error = 5.12e-29
relative error = 6.1834201629099980653880070128385e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.652
y[1] (analytic) = 8.2852224429896869934133478990204
y[1] (numeric) = 8.2852224429896869934133478989692
absolute error = 5.12e-29
relative error = 6.1796771724966142893193702047193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.653
y[1] (analytic) = 8.2902377108123199758548814025912
y[1] (numeric) = 8.29023771081231997585488140254
absolute error = 5.12e-29
relative error = 6.1759387108072636454661824429500e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.654
y[1] (analytic) = 8.2952529786349529582964149061621
y[1] (numeric) = 8.2952529786349529582964149061108
absolute error = 5.13e-29
relative error = 6.1842598570684948083424919036412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.655
y[1] (analytic) = 8.3002682464575859407379484097329
y[1] (numeric) = 8.3002682464575859407379484096816
absolute error = 5.13e-29
relative error = 6.1805231441639216996969677393490e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.656
y[1] (analytic) = 8.3052835142802189231794819133038
y[1] (numeric) = 8.3052835142802189231794819132524
absolute error = 5.14e-29
relative error = 6.1888314723539698188655577530487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.657
y[1] (analytic) = 8.3102987821028519056210154168746
y[1] (numeric) = 8.3102987821028519056210154168232
absolute error = 5.14e-29
relative error = 6.1850965106929233675566467344892e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.658
y[1] (analytic) = 8.3153140499254848880625489204454
y[1] (numeric) = 8.315314049925484888062548920394
absolute error = 5.14e-29
relative error = 6.1813660544138564656461783106446e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.659
y[1] (analytic) = 8.3203293177481178705040824240163
y[1] (numeric) = 8.3203293177481178705040824239648
absolute error = 5.15e-29
relative error = 6.1896588504189618005329991979957e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 8.3253445855707508529456159275871
y[1] (numeric) = 8.3253445855707508529456159275356
absolute error = 5.15e-29
relative error = 6.1859301402681070042676178731776e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.661
y[1] (analytic) = 8.3303598533933838353871494311579
y[1] (numeric) = 8.3303598533933838353871494311064
absolute error = 5.15e-29
relative error = 6.1822059198344717803035795722305e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.662
y[1] (analytic) = 8.3353751212160168178286829347288
y[1] (numeric) = 8.3353751212160168178286829346772
absolute error = 5.16e-29
relative error = 6.1904832415595314284760094463905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.663
y[1] (analytic) = 8.3403903890386498002702164382996
y[1] (numeric) = 8.340390389038649800270216438248
absolute error = 5.16e-29
relative error = 6.1867607621599165569014598315701e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.664
y[1] (analytic) = 8.3454056568612827827117499418704
y[1] (numeric) = 8.3454056568612827827117499418188
absolute error = 5.16e-29
relative error = 6.1830427568941954532013988581136e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.665
y[1] (analytic) = 8.3504209246839157651532834454413
y[1] (numeric) = 8.3504209246839157651532834453896
absolute error = 5.17e-29
relative error = 6.1913046619212161208228286668631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.666
y[1] (analytic) = 8.3554361925065487475948169490121
y[1] (numeric) = 8.3554361925065487475948169489604
absolute error = 5.17e-29
relative error = 6.1875883926163414412785172450943e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.667
y[1] (analytic) = 8.3604514603291817300363504525829
y[1] (numeric) = 8.3604514603291817300363504525312
absolute error = 5.17e-29
relative error = 6.1838765819429063234373183745214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.668
y[1] (analytic) = 8.3654667281518147124778839561538
y[1] (numeric) = 8.365466728151814712477883956102
absolute error = 5.18e-29
relative error = 6.1921231275333983502475370268305e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.669
y[1] (analytic) = 8.3704819959744476949194174597246
y[1] (numeric) = 8.3704819959744476949194174596728
absolute error = 5.18e-29
relative error = 6.1884130477685491001874725948193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 8.3754972637970806773609509632955
y[1] (numeric) = 8.3754972637970806773609509632436
absolute error = 5.19e-29
relative error = 6.1966470008099353624286070605865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.671
y[1] (analytic) = 8.3805125316197136598024844668663
y[1] (numeric) = 8.3805125316197136598024844668144
absolute error = 5.19e-29
relative error = 6.1929386543103483275019591808375e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.672
y[1] (analytic) = 8.3855277994423466422440179704371
y[1] (numeric) = 8.3855277994423466422440179703852
absolute error = 5.19e-29
relative error = 6.1892347436319330474017785832413e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.673
y[1] (analytic) = 8.390543067264979624685551474008
y[1] (numeric) = 8.390543067264979624685551473956
absolute error = 5.20e-29
relative error = 6.1974534405137332111767219495551e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.674
y[1] (analytic) = 8.3955583350876126071270849775788
y[1] (numeric) = 8.3955583350876126071270849775268
absolute error = 5.20e-29
relative error = 6.1937512580522554732966880654753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.675
y[1] (analytic) = 8.4005736029102455895686184811496
y[1] (numeric) = 8.4005736029102455895686184810976
absolute error = 5.20e-29
relative error = 6.1900534961071496491335258636452e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.676
y[1] (analytic) = 8.4055888707328785720101519847205
y[1] (numeric) = 8.4055888707328785720101519846684
absolute error = 5.21e-29
relative error = 6.1982569932018850055737099355798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.677
y[1] (analytic) = 8.4106041385555115544516854882913
y[1] (numeric) = 8.4106041385555115544516854882392
absolute error = 5.21e-29
relative error = 6.1945609544462488189275717662682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.678
y[1] (analytic) = 8.4156194063781445368932189918621
y[1] (numeric) = 8.41561940637814453689321899181
absolute error = 5.21e-29
relative error = 6.1908693209811437838745755971584e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.679
y[1] (analytic) = 8.420634674200777519334752495433
y[1] (numeric) = 8.4206346742007775193347524953808
absolute error = 5.22e-29
relative error = 6.1990576743497575201813102337451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 8.4256499420234105017762859990038
y[1] (numeric) = 8.4256499420234105017762859989516
absolute error = 5.22e-29
relative error = 6.1953677590674064740383451681298e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.681
y[1] (analytic) = 8.4306652098460434842178195025746
y[1] (numeric) = 8.4306652098460434842178195025224
absolute error = 5.22e-29
relative error = 6.1916822339281635195624151591065e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.682
y[1] (analytic) = 8.4356804776686764666593530061455
y[1] (numeric) = 8.4356804776686764666593530060932
absolute error = 5.23e-29
relative error = 6.1998554993223106322397752157456e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.683
y[1] (analytic) = 8.4406957454913094491008865097163
y[1] (numeric) = 8.440695745491309449100886509664
absolute error = 5.23e-29
relative error = 6.1961716873797542979366024437814e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.684
y[1] (analytic) = 8.4457110133139424315424200132872
y[1] (numeric) = 8.4457110133139424315424200132348
absolute error = 5.24e-29
relative error = 6.2043325798616449468350260946023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.685
y[1] (analytic) = 8.450726281136575413983953516858
y[1] (numeric) = 8.4507262811365754139839535168056
absolute error = 5.24e-29
relative error = 6.2006504833750801723858658417272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.686
y[1] (analytic) = 8.4557415489592083964254870204288
y[1] (numeric) = 8.4557415489592083964254870203764
absolute error = 5.24e-29
relative error = 6.1969727547372539089384246401604e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=106.8MB, alloc=4.0MB, time=6.69
x[1] = 1.687
y[1] (analytic) = 8.4607568167818413788670205239997
y[1] (numeric) = 8.4607568167818413788670205239472
absolute error = 5.25e-29
relative error = 6.2051186598185499096105903815865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.688
y[1] (analytic) = 8.4657720846044743613085540275705
y[1] (numeric) = 8.465772084604474361308554027518
absolute error = 5.25e-29
relative error = 6.2014426416551502947352286574268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.689
y[1] (analytic) = 8.4707873524271073437500875311413
y[1] (numeric) = 8.4707873524271073437500875310888
absolute error = 5.25e-29
relative error = 6.1977709763847801643061373438345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 8.4758026202497403261916210347122
y[1] (numeric) = 8.4758026202497403261916210346596
absolute error = 5.26e-29
relative error = 6.2059019489590398251810343219897e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.691
y[1] (analytic) = 8.480817888072373308633154538283
y[1] (numeric) = 8.4808178880723733086331545382304
absolute error = 5.26e-29
relative error = 6.2022319892021154964848894170093e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.692
y[1] (analytic) = 8.4858331558950062910746880418538
y[1] (numeric) = 8.4858331558950062910746880418012
absolute error = 5.26e-29
relative error = 6.1985663674590882414633262435950e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.693
y[1] (analytic) = 8.4908484237176392735162215454247
y[1] (numeric) = 8.490848423717639273516221545372
absolute error = 5.27e-29
relative error = 6.2066824621191145372704253009975e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.694
y[1] (analytic) = 8.4958636915402722559577550489955
y[1] (numeric) = 8.4958636915402722559577550489428
absolute error = 5.27e-29
relative error = 6.2030185409490324153475974230158e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.695
y[1] (analytic) = 8.5008789593629052383992885525663
y[1] (numeric) = 8.5008789593629052383992885525136
absolute error = 5.27e-29
relative error = 6.1993589429897704493208436782235e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.696
y[1] (analytic) = 8.5058942271855382208408220561372
y[1] (numeric) = 8.5058942271855382208408220560844
absolute error = 5.28e-29
relative error = 6.2074602140298021925953490949381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.697
y[1] (analytic) = 8.510909495008171203282355559708
y[1] (numeric) = 8.5109094950081712032823555596552
absolute error = 5.28e-29
relative error = 6.2038023117233615313150925545168e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.698
y[1] (analytic) = 8.5159247628308041857238890632788
y[1] (numeric) = 8.515924762830804185723889063226
absolute error = 5.28e-29
relative error = 6.2001487179002028967265677650265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.699
y[1] (analytic) = 8.5209400306534371681654225668497
y[1] (numeric) = 8.5209400306534371681654225667968
absolute error = 5.29e-29
relative error = 6.2082352193180860068773361362220e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 8.5259552984760701506069560704205
y[1] (numeric) = 8.5259552984760701506069560703676
absolute error = 5.29e-29
relative error = 6.2045833162478988974615259384948e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.701
y[1] (analytic) = 8.5309705662987031330484895739914
y[1] (numeric) = 8.5309705662987031330484895739384
absolute error = 5.30e-29
relative error = 6.2126577026739046047780576871648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.702
y[1] (analytic) = 8.5359858341213361154900230775622
y[1] (numeric) = 8.5359858341213361154900230775092
absolute error = 5.30e-29
relative error = 6.2090074925078212295696099446929e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.703
y[1] (analytic) = 8.541001101943969097931556581133
y[1] (numeric) = 8.54100110194396909793155658108
absolute error = 5.30e-29
relative error = 6.2053615691416980227407375959292e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.704
y[1] (analytic) = 8.5460163697666020803730900847039
y[1] (numeric) = 8.5460163697666020803730900846508
absolute error = 5.31e-29
relative error = 6.2134212833774620538558439884351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.705
y[1] (analytic) = 8.5510316375892350628146235882747
y[1] (numeric) = 8.5510316375892350628146235882216
absolute error = 5.31e-29
relative error = 6.2097770480206424280178053702601e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.706
y[1] (analytic) = 8.5560469054118680452561570918455
y[1] (numeric) = 8.5560469054118680452561570917924
absolute error = 5.31e-29
relative error = 6.2061370849209820280013822721533e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.707
y[1] (analytic) = 8.5610621732345010276976905954164
y[1] (numeric) = 8.5610621732345010276976905953632
absolute error = 5.32e-29
relative error = 6.2141821801418154345713182113179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.708
y[1] (analytic) = 8.5660774410571340101392240989872
y[1] (numeric) = 8.566077441057134010139224098934
absolute error = 5.32e-29
relative error = 6.2105439001768612100780094770021e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.709
y[1] (analytic) = 8.571092708879766992580757602558
y[1] (numeric) = 8.5710927088797669925807576025048
absolute error = 5.32e-29
relative error = 6.2069098780000461947415097640256e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 8.5761079767023999750222911061289
y[1] (numeric) = 8.5761079767023999750222911060756
absolute error = 5.33e-29
relative error = 6.2149404070929605578105977878045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.711
y[1] (analytic) = 8.5811232445250329574638246096997
y[1] (numeric) = 8.5811232445250329574638246096464
absolute error = 5.33e-29
relative error = 6.2113080631963545025459510328146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.712
y[1] (analytic) = 8.5861385123476659399053581132705
y[1] (numeric) = 8.5861385123476659399053581132172
absolute error = 5.33e-29
relative error = 6.2076799626921510244486695193609e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.713
y[1] (analytic) = 8.5911537801702989223468916168414
y[1] (numeric) = 8.591153780170298922346891616788
absolute error = 5.34e-29
relative error = 6.2156959782579370466427345286468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.714
y[1] (analytic) = 8.5961690479929319047884251204122
y[1] (numeric) = 8.5961690479929319047884251203588
absolute error = 5.34e-29
relative error = 6.2120695511994435011079371339393e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.715
y[1] (analytic) = 8.6011843158155648872299586239831
y[1] (numeric) = 8.6011843158155648872299586239296
absolute error = 5.35e-29
relative error = 6.2200736591152943253305459346928e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.716
y[1] (analytic) = 8.6061995836381978696714921275539
y[1] (numeric) = 8.6061995836381978696714921275004
absolute error = 5.35e-29
relative error = 6.2164489075656933379614721899756e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.717
y[1] (analytic) = 8.6112148514608308521130256311247
y[1] (numeric) = 8.6112148514608308521130256310712
absolute error = 5.35e-29
relative error = 6.2128283782077634059067479778673e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.718
y[1] (analytic) = 8.6162301192834638345545591346956
y[1] (numeric) = 8.616230119283463834554559134642
absolute error = 5.36e-29
relative error = 6.2208180675259682042984681655554e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.719
y[1] (analytic) = 8.6212453871060968169960926382664
y[1] (numeric) = 8.6212453871060968169960926382128
absolute error = 5.36e-29
relative error = 6.2171992088479426265181898245633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 8.6262606549287297994376261418372
y[1] (numeric) = 8.6262606549287297994376261417836
absolute error = 5.36e-29
relative error = 6.2135845581451240552237025048979e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.721
y[1] (analytic) = 8.6312759227513627818791596454081
y[1] (numeric) = 8.6312759227513627818791596453544
absolute error = 5.37e-29
relative error = 6.2215598806719912736941605687684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.722
y[1] (analytic) = 8.6362911905739957643206931489789
y[1] (numeric) = 8.6362911905739957643206931489252
absolute error = 5.37e-29
relative error = 6.2179468958400098618046749935252e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.723
y[1] (analytic) = 8.6413064583966287467622266525497
y[1] (numeric) = 8.641306458396628746762226652496
absolute error = 5.37e-29
relative error = 6.2143381048383615682110564938192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.724
y[1] (analytic) = 8.6463217262192617292037601561206
y[1] (numeric) = 8.6463217262192617292037601560668
absolute error = 5.38e-29
relative error = 6.2222991121017288799713064786987e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.725
y[1] (analytic) = 8.6513369940418947116452936596914
y[1] (numeric) = 8.6513369940418947116452936596376
absolute error = 5.38e-29
relative error = 6.2186919821816699067075549966821e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.726
y[1] (analytic) = 8.6563522618645276940868271632622
y[1] (numeric) = 8.6563522618645276940868271632084
absolute error = 5.38e-29
relative error = 6.2150890320181811060663571085033e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.727
y[1] (analytic) = 8.6613675296871606765283606668331
y[1] (numeric) = 8.6613675296871606765283606667792
absolute error = 5.39e-29
relative error = 6.2230357752694060197529903877839e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.728
y[1] (analytic) = 8.6663827975097936589698941704039
y[1] (numeric) = 8.66638279750979365896989417035
absolute error = 5.39e-29
relative error = 6.2194344814179769653434111109391e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.729
y[1] (analytic) = 8.6713980653324266414114276739748
y[1] (numeric) = 8.6713980653324266414114276739208
absolute error = 5.40e-29
relative error = 6.2273695190960947386676092713296e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 8.6764133331550596238529611775456
y[1] (numeric) = 8.6764133331550596238529611774916
absolute error = 5.40e-29
relative error = 6.2237698835359235856394777052768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.731
y[1] (analytic) = 8.6814286009776926062944946811164
y[1] (numeric) = 8.6814286009776926062944946810624
absolute error = 5.40e-29
relative error = 6.2201744070000853859943942403980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.732
y[1] (analytic) = 8.6864438688003255887360281846873
y[1] (numeric) = 8.6864438688003255887360281846332
absolute error = 5.41e-29
relative error = 6.2280952731778472345260845615214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.733
y[1] (analytic) = 8.6914591366229585711775616882581
y[1] (numeric) = 8.691459136622958571177561688204
absolute error = 5.41e-29
relative error = 6.2245014501696661339868311947808e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.734
y[1] (analytic) = 8.6964744044455915536190951918289
y[1] (numeric) = 8.6964744044455915536190951917748
absolute error = 5.41e-29
relative error = 6.2209117722860619435981421341149e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.735
y[1] (analytic) = 8.7014896722682245360606286953998
y[1] (numeric) = 8.7014896722682245360606286953456
absolute error = 5.42e-29
relative error = 6.2288185174472132664219368824099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.736
y[1] (analytic) = 8.7065049400908575185021621989706
y[1] (numeric) = 8.7065049400908575185021621989164
absolute error = 5.42e-29
relative error = 6.2252304883473012772131684855883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.737
y[1] (analytic) = 8.7115202079134905009436957025414
y[1] (numeric) = 8.7115202079134905009436957024872
absolute error = 5.42e-29
relative error = 6.2216465905416897048025679280261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.738
y[1] (analytic) = 8.7165354757361234833852292061123
y[1] (numeric) = 8.716535475736123483385229206058
absolute error = 5.43e-29
relative error = 6.2295392649009198068382868362528e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.739
y[1] (analytic) = 8.7215507435587564658267627096831
y[1] (numeric) = 8.7215507435587564658267627096288
absolute error = 5.43e-29
relative error = 6.2259570111545708017739749979341e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 8.7265660113813894482682962132539
y[1] (numeric) = 8.7265660113813894482682962131996
absolute error = 5.43e-29
relative error = 6.2223788749412635771752543226480e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.741
y[1] (analytic) = 8.7315812792040224307098297168248
y[1] (numeric) = 8.7315812792040224307098297167704
absolute error = 5.44e-29
relative error = 6.2302575284461127118482622354013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.742
y[1] (analytic) = 8.7365965470266554131513632203956
y[1] (numeric) = 8.7365965470266554131513632203412
absolute error = 5.44e-29
relative error = 6.2266810315870736115544343007082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.743
y[1] (analytic) = 8.7416118148492883955928967239665
y[1] (numeric) = 8.741611814849288395592896723912
absolute error = 5.45e-29
relative error = 6.2345481765069224546016675744462e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.744
y[1] (analytic) = 8.7466270826719213780344302275373
y[1] (numeric) = 8.7466270826719213780344302274828
absolute error = 5.45e-29
relative error = 6.2309733209011272009006345081765e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=110.6MB, alloc=4.0MB, time=6.94
x[1] = 1.745
y[1] (analytic) = 8.7516423504945543604759637311081
y[1] (numeric) = 8.7516423504945543604759637310536
absolute error = 5.45e-29
relative error = 6.2274025625510405950548461789455e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.746
y[1] (analytic) = 8.756657618317187342917497234679
y[1] (numeric) = 8.7566576183171873429174972346244
absolute error = 5.46e-29
relative error = 6.2352557767917808965713565937491e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.747
y[1] (analytic) = 8.7616728861398203253590307382498
y[1] (numeric) = 8.7616728861398203253590307381952
absolute error = 5.46e-29
relative error = 6.2316866549962503980615847811597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.748
y[1] (analytic) = 8.7666881539624533078005642418206
y[1] (numeric) = 8.766688153962453307800564241766
absolute error = 5.46e-29
relative error = 6.2281216168641015133945014946716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.749
y[1] (analytic) = 8.7717034217850862902420977453915
y[1] (numeric) = 8.7717034217850862902420977453368
absolute error = 5.47e-29
relative error = 6.2359609496314082632684223231058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 8.7767186896077192726836312489623
y[1] (numeric) = 8.7767186896077192726836312489076
absolute error = 5.47e-29
relative error = 6.2323975433744760299751260817784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.751
y[1] (analytic) = 8.7817339574303522551251647525331
y[1] (numeric) = 8.7817339574303522551251647524784
absolute error = 5.47e-29
relative error = 6.2288382072560440048295092193673e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.752
y[1] (analytic) = 8.786749225252985237566698256104
y[1] (numeric) = 8.7867492252529852375666982560492
absolute error = 5.48e-29
relative error = 6.2366637074955574540521419369511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.753
y[1] (analytic) = 8.7917644930756182200082317596748
y[1] (numeric) = 8.79176449307561822000823175962
absolute error = 5.48e-29
relative error = 6.2331059985922513745004864081793e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.754
y[1] (analytic) = 8.7967797608982512024497652632456
y[1] (numeric) = 8.7967797608982512024497652631908
absolute error = 5.48e-29
relative error = 6.2295523463695648001706685710025e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.755
y[1] (analytic) = 8.8017950287208841848912987668165
y[1] (numeric) = 8.8017950287208841848912987667616
absolute error = 5.49e-29
relative error = 6.2373640627687181005938659281849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.756
y[1] (analytic) = 8.8068102965435171673328322703873
y[1] (numeric) = 8.8068102965435171673328322703324
absolute error = 5.49e-29
relative error = 6.2338120331202165527005892391597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.757
y[1] (analytic) = 8.8118255643661501497743657739581
y[1] (numeric) = 8.8118255643661501497743657739032
absolute error = 5.49e-29
relative error = 6.2302640467610132421981984655461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.758
y[1] (analytic) = 8.816840832188783132215899277529
y[1] (numeric) = 8.816840832188783132215899277474
absolute error = 5.50e-29
relative error = 6.2380620277508440691610447863428e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.759
y[1] (analytic) = 8.8218561000114161146574327810998
y[1] (numeric) = 8.8218561000114161146574327810448
absolute error = 5.50e-29
relative error = 6.2345156593439362555913113896479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 8.8268713678340490970989662846707
y[1] (numeric) = 8.8268713678340490970989662846156
absolute error = 5.51e-29
relative error = 6.2423023633027656139931811163731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.761
y[1] (analytic) = 8.8318866356566820795404997882415
y[1] (numeric) = 8.8318866356566820795404997881864
absolute error = 5.51e-29
relative error = 6.2387576146580735267620663059720e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.762
y[1] (analytic) = 8.8369019034793150619820332918123
y[1] (numeric) = 8.8369019034793150619820332917572
absolute error = 5.51e-29
relative error = 6.2352168895646239958161173466611e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.763
y[1] (analytic) = 8.8419171713019480444235667953832
y[1] (numeric) = 8.841917171301948044423566795328
absolute error = 5.52e-29
relative error = 6.2429899455699098625472948356454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.764
y[1] (analytic) = 8.846932439124581026865100298954
y[1] (numeric) = 8.8469324391245810268651002988988
absolute error = 5.52e-29
relative error = 6.2394508356234416596773700653305e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.765
y[1] (analytic) = 8.8519477069472140093066338025248
y[1] (numeric) = 8.8519477069472140093066338024696
absolute error = 5.52e-29
relative error = 6.2359157359998589731846350114691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.766
y[1] (analytic) = 8.8569629747698469917481673060957
y[1] (numeric) = 8.8569629747698469917481673060404
absolute error = 5.53e-29
relative error = 6.2436751917704613220349732874683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.767
y[1] (analytic) = 8.8619782425924799741897008096665
y[1] (numeric) = 8.8619782425924799741897008096112
absolute error = 5.53e-29
relative error = 6.2401417026975861316999223687997e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.768
y[1] (analytic) = 8.8669935104151129566312343132373
y[1] (numeric) = 8.866993510415112956631234313182
absolute error = 5.53e-29
relative error = 6.2366122107842956418064269375957e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.769
y[1] (analytic) = 8.8720087782377459390727678168082
y[1] (numeric) = 8.8720087782377459390727678167528
absolute error = 5.54e-29
relative error = 6.2443581137894394017844233217045e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 8.877024046060378921514301320379
y[1] (numeric) = 8.8770240460603789215143013203236
absolute error = 5.54e-29
relative error = 6.2408302278494453682240931390369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.771
y[1] (analytic) = 8.8820393138830119039558348239498
y[1] (numeric) = 8.8820393138830119039558348238944
absolute error = 5.54e-29
relative error = 6.2373063259703660653623065251809e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.772
y[1] (analytic) = 8.8870545817056448863973683275207
y[1] (numeric) = 8.8870545817056448863973683274652
absolute error = 5.55e-29
relative error = 6.2450387234313780523699361662085e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.773
y[1] (analytic) = 8.8920698495282778688389018310915
y[1] (numeric) = 8.892069849528277868838901831036
absolute error = 5.55e-29
relative error = 6.2415164229669497511559655310330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.774
y[1] (analytic) = 8.8970851173509108512804353346624
y[1] (numeric) = 8.8970851173509108512804353346068
absolute error = 5.56e-29
relative error = 6.2492377297335318578593060411204e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.775
y[1] (analytic) = 8.9021003851735438337219688382332
y[1] (numeric) = 8.9021003851735438337219688381776
absolute error = 5.56e-29
relative error = 6.2457170324210059244182585447592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.776
y[1] (analytic) = 8.907115652996176816163502341804
y[1] (numeric) = 8.9071156529961768161635023417484
absolute error = 5.56e-29
relative error = 6.2422002998577058084698248406237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.777
y[1] (analytic) = 8.9121309208188097986050358453749
y[1] (numeric) = 8.9121309208188097986050358453192
absolute error = 5.57e-29
relative error = 6.2499081863670056966152453277286e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.778
y[1] (analytic) = 8.9171461886414427810465693489457
y[1] (numeric) = 8.91714618864144278104656934889
absolute error = 5.57e-29
relative error = 6.2463930524039196416677676869369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.779
y[1] (analytic) = 8.9221614564640757634881028525165
y[1] (numeric) = 8.9221614564640757634881028524608
absolute error = 5.57e-29
relative error = 6.2428818702496734811047166651904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 8.9271767242867087459296363560874
y[1] (numeric) = 8.9271767242867087459296363560316
absolute error = 5.58e-29
relative error = 6.2505763830342992864765016729213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.781
y[1] (analytic) = 8.9321919921093417283711698596582
y[1] (numeric) = 8.9321919921093417283711698596024
absolute error = 5.58e-29
relative error = 6.2470667949472502694711807848399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.782
y[1] (analytic) = 8.937207259931974710812703363229
y[1] (numeric) = 8.9372072599319747108127033631732
absolute error = 5.58e-29
relative error = 6.2435611457918365487812418506173e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.783
y[1] (analytic) = 8.9422225277546076932542368667999
y[1] (numeric) = 8.942222527754607693254236866744
absolute error = 5.59e-29
relative error = 6.2512423311429816808586960225609e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.784
y[1] (analytic) = 8.9472377955772406756957703703707
y[1] (numeric) = 8.9472377955772406756957703703148
absolute error = 5.59e-29
relative error = 6.2477382715403230588402774709788e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.785
y[1] (analytic) = 8.9522530633998736581373038739415
y[1] (numeric) = 8.9522530633998736581373038738856
absolute error = 5.59e-29
relative error = 6.2442381380548662952218795564292e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.786
y[1] (analytic) = 8.9572683312225066405788373775124
y[1] (numeric) = 8.9572683312225066405788373774564
absolute error = 5.60e-29
relative error = 6.2519060420239753325945896073081e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.787
y[1] (analytic) = 8.9622835990451396230203708810832
y[1] (numeric) = 8.9622835990451396230203708810272
absolute error = 5.60e-29
relative error = 6.2484074935953105450553648789324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.788
y[1] (analytic) = 8.9672988668677726054619043846541
y[1] (numeric) = 8.967298866867772605461904384598
absolute error = 5.61e-29
relative error = 6.2560644886362995251995632377396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.789
y[1] (analytic) = 8.9723141346904055879034378882249
y[1] (numeric) = 8.9723141346904055879034378881688
absolute error = 5.61e-29
relative error = 6.2525675269321987429048737110556e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 8.9773294025130385703449713917957
y[1] (numeric) = 8.9773294025130385703449713917396
absolute error = 5.61e-29
relative error = 6.2490744724478790788026922173623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.791
y[1] (analytic) = 8.9823446703356715527865048953666
y[1] (numeric) = 8.9823446703356715527865048953104
absolute error = 5.62e-29
relative error = 6.2567182692956935556112233944749e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.792
y[1] (analytic) = 8.9873599381583045352280383989374
y[1] (numeric) = 8.9873599381583045352280383988812
absolute error = 5.62e-29
relative error = 6.2532267970472026551895653457057e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.793
y[1] (analytic) = 8.9923752059809375176695719025082
y[1] (numeric) = 8.992375205980937517669571902452
absolute error = 5.62e-29
relative error = 6.2497392193578288667594540432262e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.794
y[1] (analytic) = 8.9973904738035705001111054060791
y[1] (numeric) = 8.9973904738035705001111054060228
absolute error = 5.63e-29
relative error = 6.2573698633976983083291990690807e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.795
y[1] (analytic) = 9.0024057416262034825526389096499
y[1] (numeric) = 9.0024057416262034825526389095936
absolute error = 5.63e-29
relative error = 6.2538838634737998691602134428584e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.796
y[1] (analytic) = 9.0074210094488364649941724132207
y[1] (numeric) = 9.0074210094488364649941724131644
absolute error = 5.63e-29
relative error = 6.2504017455097275975181420545272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.797
y[1] (analytic) = 9.0124362772714694474357059167916
y[1] (numeric) = 9.0124362772714694474357059167352
absolute error = 5.64e-29
relative error = 6.2580192818933524608711547915175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.798
y[1] (analytic) = 9.0174515450941024298772394203624
y[1] (numeric) = 9.017451545094102429877239420306
absolute error = 5.64e-29
relative error = 6.2545387372426887498250640491418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.799
y[1] (analytic) = 9.0224668129167354123187729239332
y[1] (numeric) = 9.0224668129167354123187729238768
absolute error = 5.64e-29
relative error = 6.2510620620135377277295526183196e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 9.0274820807393683947603064275041
y[1] (numeric) = 9.0274820807393683947603064274476
absolute error = 5.65e-29
relative error = 6.2586665356606877662379706615461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.801
y[1] (analytic) = 9.0324973485620013772018399310749
y[1] (numeric) = 9.0324973485620013772018399310184
absolute error = 5.65e-29
relative error = 6.2551914293110705048463893341383e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.802
y[1] (analytic) = 9.0375126163846343596433734346458
y[1] (numeric) = 9.0375126163846343596433734345892
absolute error = 5.66e-29
relative error = 6.2627851713740963297842559496166e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=114.4MB, alloc=4.0MB, time=7.18
TOP MAIN SOLVE Loop
x[1] = 1.803
y[1] (analytic) = 9.0425278842072673420849069382166
y[1] (numeric) = 9.04252788420726734208490693816
absolute error = 5.66e-29
relative error = 6.2593116355053364316534826518077e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.804
y[1] (analytic) = 9.0475431520299003245264404417874
y[1] (numeric) = 9.0475431520299003245264404417308
absolute error = 5.66e-29
relative error = 6.2558419505632603028111026725107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.805
y[1] (analytic) = 9.0525584198525333069679739453583
y[1] (numeric) = 9.0525584198525333069679739453016
absolute error = 5.67e-29
relative error = 6.2634227110487563397862112197426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.806
y[1] (analytic) = 9.0575736876751662894095074489291
y[1] (numeric) = 9.0575736876751662894095074488724
absolute error = 5.67e-29
relative error = 6.2599545921611324436955211803075e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.807
y[1] (analytic) = 9.0625889554977992718510409524999
y[1] (numeric) = 9.0625889554977992718510409524432
absolute error = 5.67e-29
relative error = 6.2564903118112923039923139190014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.808
y[1] (analytic) = 9.0676042233204322542925744560708
y[1] (numeric) = 9.067604223320432254292574456014
absolute error = 5.68e-29
relative error = 6.2640581349944075223213458418482e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.809
y[1] (analytic) = 9.0726194911430652367341079596416
y[1] (numeric) = 9.0726194911430652367341079595848
absolute error = 5.68e-29
relative error = 6.2605954162907069100923124831739e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 9.0776347589656982191756414632124
y[1] (numeric) = 9.0776347589656982191756414631556
absolute error = 5.68e-29
relative error = 6.2571365237955186742303830287633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.811
y[1] (analytic) = 9.0826500267883312016171749667833
y[1] (numeric) = 9.0826500267883312016171749667264
absolute error = 5.69e-29
relative error = 6.2646914537254403133074960311914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.812
y[1] (analytic) = 9.0876652946109641840587084703541
y[1] (numeric) = 9.0876652946109641840587084702972
absolute error = 5.69e-29
relative error = 6.2612341184860774875275250068917e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.813
y[1] (analytic) = 9.0926805624335971665002419739249
y[1] (numeric) = 9.092680562433597166500241973868
absolute error = 5.69e-29
relative error = 6.2577805971852026516270685672850e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.814
y[1] (analytic) = 9.0976958302562301489417754774958
y[1] (numeric) = 9.0976958302562301489417754774388
absolute error = 5.70e-29
relative error = 6.2653226776866901953929202551896e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.815
y[1] (analytic) = 9.1027110980788631313833089810666
y[1] (numeric) = 9.1027110980788631313833089810096
absolute error = 5.70e-29
relative error = 6.2618707092692319638803070759856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.816
y[1] (analytic) = 9.1077263659014961138248424846374
y[1] (numeric) = 9.1077263659014961138248424845804
absolute error = 5.70e-29
relative error = 6.2584225425791057348253069068910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.817
y[1] (analytic) = 9.1127416337241290962663759882083
y[1] (numeric) = 9.1127416337241290962663759881512
absolute error = 5.71e-29
relative error = 6.2659518172540118995518103320529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.818
y[1] (analytic) = 9.1177569015467620787079094917791
y[1] (numeric) = 9.117756901546762078707909491722
absolute error = 5.71e-29
relative error = 6.2625051990927060624233439897360e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.819
y[1] (analytic) = 9.12277216936939506114944299535
y[1] (numeric) = 9.1227721693693950611494429952928
absolute error = 5.72e-29
relative error = 6.2700239508397049084818699306026e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 9.1277874371920280435909764989208
y[1] (numeric) = 9.1277874371920280435909764988636
absolute error = 5.72e-29
relative error = 6.2665788827348479277629238482232e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.821
y[1] (analytic) = 9.1328027050146610260325100024916
y[1] (numeric) = 9.1328027050146610260325100024344
absolute error = 5.72e-29
relative error = 6.2631375983401555346120381129963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.822
y[1] (analytic) = 9.1378179728372940084740435060625
y[1] (numeric) = 9.1378179728372940084740435060052
absolute error = 5.73e-29
relative error = 6.2706436230539554531127351450013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.823
y[1] (analytic) = 9.1428332406599269909155770096333
y[1] (numeric) = 9.142833240659926990915577009576
absolute error = 5.73e-29
relative error = 6.2672038843687914621894697938521e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.824
y[1] (analytic) = 9.1478485084825599733571105132041
y[1] (numeric) = 9.1478485084825599733571105131468
absolute error = 5.73e-29
relative error = 6.2637679173269226072211641634827e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.825
y[1] (analytic) = 9.152863776305192955798644016775
y[1] (numeric) = 9.1528637763051929557986440167176
absolute error = 5.74e-29
relative error = 6.2712612579896933932133071039006e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.826
y[1] (analytic) = 9.1578790441278259382401775203458
y[1] (numeric) = 9.1578790441278259382401775202884
absolute error = 5.74e-29
relative error = 6.2678268323281437254185572095392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.827
y[1] (analytic) = 9.1628943119504589206817110239166
y[1] (numeric) = 9.1628943119504589206817110238592
absolute error = 5.74e-29
relative error = 6.2643961663005968487215574518985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.828
y[1] (analytic) = 9.1679095797730919031232445274875
y[1] (numeric) = 9.16790957977309190312324452743
absolute error = 5.75e-29
relative error = 6.2718768656772833969678159163264e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.829
y[1] (analytic) = 9.1729248475957248855647780310583
y[1] (numeric) = 9.1729248475957248855647780310008
absolute error = 5.75e-29
relative error = 6.2684477367184658554713873674384e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 9.1779401154183578680063115346291
y[1] (numeric) = 9.1779401154183578680063115345716
absolute error = 5.75e-29
relative error = 6.2650223554415705189383428934671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.831
y[1] (analytic) = 9.1829553832409908504478450382
y[1] (numeric) = 9.1829553832409908504478450381424
absolute error = 5.76e-29
relative error = 6.2724904560813531713271706856750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.832
y[1] (analytic) = 9.1879706510636238328893785417708
y[1] (numeric) = 9.1879706510636238328893785417132
absolute error = 5.76e-29
relative error = 6.2690666075791253584607257235103e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.833
y[1] (analytic) = 9.1929859188862568153309120453417
y[1] (numeric) = 9.192985918886256815330912045284
absolute error = 5.77e-29
relative error = 6.2765243533616155285013265444064e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.834
y[1] (analytic) = 9.1980011867088897977724455489125
y[1] (numeric) = 9.1980011867088897977724455488548
absolute error = 5.77e-29
relative error = 6.2731020391013311143636486128119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.835
y[1] (analytic) = 9.2030164545315227802139790524833
y[1] (numeric) = 9.2030164545315227802139790524256
absolute error = 5.77e-29
relative error = 6.2696834548838372009498264609793e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.836
y[1] (analytic) = 9.2080317223541557626555125560542
y[1] (numeric) = 9.2080317223541557626555125559964
absolute error = 5.78e-29
relative error = 6.2771286788337281431295280971259e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.837
y[1] (analytic) = 9.213046990176788745097046059625
y[1] (numeric) = 9.2130469901767887450970460595672
absolute error = 5.78e-29
relative error = 6.2737116245719786993934750061640e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.838
y[1] (analytic) = 9.2180622579994217275385795631958
y[1] (numeric) = 9.218062257999421727538579563138
absolute error = 5.78e-29
relative error = 6.2702982885411996032566994484893e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.839
y[1] (analytic) = 9.2230775258220547099801130667667
y[1] (numeric) = 9.2230775258220547099801130667088
absolute error = 5.79e-29
relative error = 6.2777310326077261978405087638659e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 9.2280927936446876924216465703375
y[1] (numeric) = 9.2280927936446876924216465702796
absolute error = 5.79e-29
relative error = 6.2743192222639176509938563134508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.841
y[1] (analytic) = 9.2331080614673206748631800739083
y[1] (numeric) = 9.2331080614673206748631800738504
absolute error = 5.79e-29
relative error = 6.2709111183952245941492100036662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.842
y[1] (analytic) = 9.2381233292899536573047135774792
y[1] (numeric) = 9.2381233292899536573047135774212
absolute error = 5.80e-29
relative error = 6.2783314243173138354351670180106e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.843
y[1] (analytic) = 9.24313859711258663974624708105
y[1] (numeric) = 9.243138597112586639746247080992
absolute error = 5.80e-29
relative error = 6.2749248418841519722580453864219e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.844
y[1] (analytic) = 9.2481538649352196221877805846208
y[1] (numeric) = 9.2481538649352196221877805845628
absolute error = 5.80e-29
relative error = 6.2715219542258633865897926503122e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.845
y[1] (analytic) = 9.2531691327578526046293140881917
y[1] (numeric) = 9.2531691327578526046293140881336
absolute error = 5.81e-29
relative error = 6.2789298635335369603872410176703e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.846
y[1] (analytic) = 9.2581844005804855870708475917625
y[1] (numeric) = 9.2581844005804855870708475917044
absolute error = 5.81e-29
relative error = 6.2755284930765848818604873659814e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.847
y[1] (analytic) = 9.2631996684031185695123810953334
y[1] (numeric) = 9.2631996684031185695123810952752
absolute error = 5.82e-29
relative error = 6.2829262116114018944002932907568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.848
y[1] (analytic) = 9.2682149362257515519539145989042
y[1] (numeric) = 9.268214936225751551953914598846
absolute error = 5.82e-29
relative error = 6.2795263597652918284401199718766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.849
y[1] (analytic) = 9.273230204048384534395448102475
y[1] (numeric) = 9.2732302040483845343954481024168
absolute error = 5.82e-29
relative error = 6.2761301854225307187438300205667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 9.2782454718710175168369816060459
y[1] (numeric) = 9.2782454718710175168369816059876
absolute error = 5.83e-29
relative error = 6.2835155824179150843244452640292e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.851
y[1] (analytic) = 9.2832607396936504992785151096167
y[1] (numeric) = 9.2832607396936504992785151095584
absolute error = 5.83e-29
relative error = 6.2801209224598286904377221709638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.852
y[1] (analytic) = 9.2882760075162834817200486131875
y[1] (numeric) = 9.2882760075162834817200486131292
absolute error = 5.83e-29
relative error = 6.2767299284412218714904015866383e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.853
y[1] (analytic) = 9.2932912753389164641615821167584
y[1] (numeric) = 9.2932912753389164641615821167
absolute error = 5.84e-29
relative error = 6.2841030448462096670497062972910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.854
y[1] (analytic) = 9.2983065431615494466031156203292
y[1] (numeric) = 9.2983065431615494466031156202708
absolute error = 5.84e-29
relative error = 6.2807135610032505464094421622871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.855
y[1] (analytic) = 9.3033218109841824290446491239
y[1] (numeric) = 9.3033218109841824290446491238416
absolute error = 5.84e-29
relative error = 6.2773277315903107887024828942751e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.856
y[1] (analytic) = 9.3083370788068154114861826274709
y[1] (numeric) = 9.3083370788068154114861826274124
absolute error = 5.85e-29
relative error = 6.2846886081502748491842606677297e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.857
y[1] (analytic) = 9.3133523466294483939277161310417
y[1] (numeric) = 9.3133523466294483939277161309832
absolute error = 5.85e-29
relative error = 6.2813042847210070652051630583233e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.858
y[1] (analytic) = 9.3183676144520813763692496346125
y[1] (numeric) = 9.318367614452081376369249634554
absolute error = 5.85e-29
relative error = 6.2779236042663671259881527445137e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.859
y[1] (analytic) = 9.3233828822747143588107831381834
y[1] (numeric) = 9.3233828822747143588107831381248
absolute error = 5.86e-29
relative error = 6.2852722815243645654270413285274e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 9.3283981500973473412523166417542
y[1] (numeric) = 9.3283981500973473412523166416956
memory used=118.2MB, alloc=4.0MB, time=7.42
absolute error = 5.86e-29
relative error = 6.2818931028783837242628332417917e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.861
y[1] (analytic) = 9.3334134179199803236938501453251
y[1] (numeric) = 9.3334134179199803236938501452664
absolute error = 5.87e-29
relative error = 6.2892317495866079173410810640294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.862
y[1] (analytic) = 9.3384286857426133061353836488959
y[1] (numeric) = 9.3384286857426133061353836488372
absolute error = 5.87e-29
relative error = 6.2858540741034786971921331150154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.863
y[1] (analytic) = 9.3434439535652462885769171524667
y[1] (numeric) = 9.343443953565246288576917152408
absolute error = 5.87e-29
relative error = 6.2824800246809862233879505422215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.864
y[1] (analytic) = 9.3484592213878792710184506560376
y[1] (numeric) = 9.3484592213878792710184506559788
absolute error = 5.88e-29
relative error = 6.2898065453903223933554902846485e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.865
y[1] (analytic) = 9.3534744892105122534599841596084
y[1] (numeric) = 9.3534744892105122534599841595496
absolute error = 5.88e-29
relative error = 6.2864339949638396467638787617077e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.866
y[1] (analytic) = 9.3584897570331452359015176631792
y[1] (numeric) = 9.3584897570331452359015176631204
absolute error = 5.88e-29
relative error = 6.2830650592752202257313150539040e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.867
y[1] (analytic) = 9.3635050248557782183430511667501
y[1] (numeric) = 9.3635050248557782183430511666912
absolute error = 5.89e-29
relative error = 6.2903794939659585154030615538356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.868
y[1] (analytic) = 9.3685202926784112007845846703209
y[1] (numeric) = 9.368520292678411200784584670262
absolute error = 5.89e-29
relative error = 6.2870120531233643191956723345883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.869
y[1] (analytic) = 9.3735355605010441832261181738917
y[1] (numeric) = 9.3735355605010441832261181738328
absolute error = 5.89e-29
relative error = 6.2836482157487664784684408352119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 9.3785508283236771656676516774626
y[1] (numeric) = 9.3785508283236771656676516774036
absolute error = 5.90e-29
relative error = 6.2909506042039187996258812574530e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.871
y[1] (analytic) = 9.3835660961463101481091851810334
y[1] (numeric) = 9.3835660961463101481091851809744
absolute error = 5.90e-29
relative error = 6.2875882575421315634956696693946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.872
y[1] (analytic) = 9.3885813639689431305507186846042
y[1] (numeric) = 9.3885813639689431305507186845452
absolute error = 5.90e-29
relative error = 6.2842295031310513650108963415797e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.873
y[1] (analytic) = 9.3935966317915761129922521881751
y[1] (numeric) = 9.393596631791576112992252188116
absolute error = 5.91e-29
relative error = 6.2915198849376464294411532204289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.874
y[1] (analytic) = 9.3986118996142090954337856917459
y[1] (numeric) = 9.3986118996142090954337856916868
absolute error = 5.91e-29
relative error = 6.2881626171228451239825400116667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.875
y[1] (analytic) = 9.4036271674368420778753191953168
y[1] (numeric) = 9.4036271674368420778753191952576
absolute error = 5.92e-29
relative error = 6.2954431248613841970059530732210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.876
y[1] (analytic) = 9.4086424352594750603168526988876
y[1] (numeric) = 9.4086424352594750603168526988284
absolute error = 5.92e-29
relative error = 6.2920873449440806873060565097492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.877
y[1] (analytic) = 9.4136577030821080427583862024584
y[1] (numeric) = 9.4136577030821080427583862023992
absolute error = 5.92e-29
relative error = 6.2887351407112921520437730486359e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.878
y[1] (analytic) = 9.4186729709047410251999197060293
y[1] (numeric) = 9.41867297090474102519991970597
absolute error = 5.93e-29
relative error = 6.2960037133876352377151459226388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.879
y[1] (analytic) = 9.4236882387273740076414532096001
y[1] (numeric) = 9.4236882387273740076414532095408
absolute error = 5.93e-29
relative error = 6.2926529929441080236450473883532e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 9.4287035065500069900829867131709
y[1] (numeric) = 9.4287035065500069900829867131116
absolute error = 5.93e-29
relative error = 6.2893058370967973278877893844233e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.881
y[1] (analytic) = 9.4337187743726399725245202167418
y[1] (numeric) = 9.4337187743726399725245202166824
absolute error = 5.94e-29
relative error = 6.2965625137527180135416938187888e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.882
y[1] (analytic) = 9.4387340421952729549660537203126
y[1] (numeric) = 9.4387340421952729549660537202532
absolute error = 5.94e-29
relative error = 6.2932168376030088116216397838161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.883
y[1] (analytic) = 9.4437493100179059374075872238834
y[1] (numeric) = 9.443749310017905937407587223824
absolute error = 5.94e-29
relative error = 6.2898747150126726412490313718226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.884
y[1] (analytic) = 9.4487645778405389198491207274543
y[1] (numeric) = 9.4487645778405389198491207273948
absolute error = 5.95e-29
relative error = 6.2971195344988037104643355114480e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.885
y[1] (analytic) = 9.4537798456631719022906542310251
y[1] (numeric) = 9.4537798456631719022906542309656
absolute error = 5.95e-29
relative error = 6.2937788875308998358168743255003e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.886
y[1] (analytic) = 9.4587951134858048847321877345959
y[1] (numeric) = 9.4587951134858048847321877345364
absolute error = 5.95e-29
relative error = 6.2904417831366628793821888141930e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.887
y[1] (analytic) = 9.4638103813084378671737212381668
y[1] (numeric) = 9.4638103813084378671737212381072
absolute error = 5.96e-29
relative error = 6.2976747841137412811646476597743e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.888
y[1] (analytic) = 9.4688256491310708496152547417376
y[1] (numeric) = 9.468825649131070849615254741678
absolute error = 5.96e-29
relative error = 6.2943391512831725622657257065647e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.889
y[1] (analytic) = 9.4738409169537038320567882453084
y[1] (numeric) = 9.4738409169537038320567882452488
absolute error = 5.96e-29
relative error = 6.2910070500913868700675966828980e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 9.4788561847763368144983217488793
y[1] (numeric) = 9.4788561847763368144983217488196
absolute error = 5.97e-29
relative error = 6.2982282710314885738627365949314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.891
y[1] (analytic) = 9.4838714525989697969398552524501
y[1] (numeric) = 9.4838714525989697969398552523904
absolute error = 5.97e-29
relative error = 6.2948976373609272367004612186253e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.892
y[1] (analytic) = 9.488886720421602779381388756021
y[1] (numeric) = 9.4888867204216027793813887559612
absolute error = 5.98e-29
relative error = 6.3021091685393218877608108852254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.893
y[1] (analytic) = 9.4939019882442357618229222595918
y[1] (numeric) = 9.493901988244235761822922259532
absolute error = 5.98e-29
relative error = 6.2987800036325393616711326966965e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.894
y[1] (analytic) = 9.4989172560668687442644557631626
y[1] (numeric) = 9.4989172560668687442644557631028
absolute error = 5.98e-29
relative error = 6.2954543542114028572563116129074e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.895
y[1] (analytic) = 9.5039325238895017267059892667335
y[1] (numeric) = 9.5039325238895017267059892666736
absolute error = 5.99e-29
relative error = 6.3026541749357681365099399605660e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.896
y[1] (analytic) = 9.5089477917121347091475227703043
y[1] (numeric) = 9.5089477917121347091475227702444
absolute error = 5.99e-29
relative error = 6.2993299902443463178725402032029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.897
y[1] (analytic) = 9.5139630595347676915890562738751
y[1] (numeric) = 9.5139630595347676915890562738152
absolute error = 5.99e-29
relative error = 6.2960093102284030673096131920257e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.898
y[1] (analytic) = 9.518978327357400674030589777446
y[1] (numeric) = 9.518978327357400674030589777386
absolute error = 6.00e-29
relative error = 6.3031974584458188755159211041616e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.899
y[1] (analytic) = 9.5239935951800336564721232810168
y[1] (numeric) = 9.5239935951800336564721232809568
absolute error = 6.00e-29
relative error = 6.2998782391417399819532481599257e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 9.5290088630026666389136567845876
y[1] (numeric) = 9.5290088630026666389136567845276
absolute error = 6.00e-29
relative error = 6.2965625137527180135416938187889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.901
y[1] (analytic) = 9.5340241308252996213551902881585
y[1] (numeric) = 9.5340241308252996213551902880984
absolute error = 6.01e-29
relative error = 6.3037390272262219004587586986454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.902
y[1] (analytic) = 9.5390393986479326037967237917293
y[1] (numeric) = 9.5390393986479326037967237916692
absolute error = 6.01e-29
relative error = 6.3004247585473437606583071956493e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.903
y[1] (analytic) = 9.5440546664705655862382572953001
y[1] (numeric) = 9.54405466647056558623825729524
absolute error = 6.01e-29
relative error = 6.2971139730725422137530742438913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.904
y[1] (analytic) = 9.549069934293198568679790798871
y[1] (numeric) = 9.5490699342931985686797907988108
absolute error = 6.02e-29
relative error = 6.3042788893823169326759360906256e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.905
y[1] (analytic) = 9.5540852021158315511213243024418
y[1] (numeric) = 9.5540852021158315511213243023816
absolute error = 6.02e-29
relative error = 6.3009695566319850077768936044888e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.906
y[1] (analytic) = 9.5591004699384645335628578060127
y[1] (numeric) = 9.5591004699384645335628578059524
absolute error = 6.03e-29
relative error = 6.3081249318000078944689739490962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.907
y[1] (analytic) = 9.5641157377610975160043913095835
y[1] (numeric) = 9.5641157377610975160043913095232
absolute error = 6.03e-29
relative error = 6.3048170529684399826207993429351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.908
y[1] (analytic) = 9.5691310055837304984459248131543
y[1] (numeric) = 9.569131005583730498445924813094
absolute error = 6.03e-29
relative error = 6.3015126415151022258164907478917e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.909
y[1] (analytic) = 9.5741462734063634808874583167252
y[1] (numeric) = 9.5741462734063634808874583166648
absolute error = 6.04e-29
relative error = 6.3086564875001040617604747917252e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 9.579161541228996463328991820296
y[1] (numeric) = 9.5791615412289964633289918202356
absolute error = 6.04e-29
relative error = 6.3053535259883239025658357996877e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.911
y[1] (analytic) = 9.5841768090516294457705253238668
y[1] (numeric) = 9.5841768090516294457705253238064
absolute error = 6.04e-29
relative error = 6.3020540212651484321824941796983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.912
y[1] (analytic) = 9.5891920768742624282120588274377
y[1] (numeric) = 9.5891920768742624282120588273772
absolute error = 6.05e-29
relative error = 6.3091863751383798435897638116264e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.913
y[1] (analytic) = 9.5942073446968954106535923310085
y[1] (numeric) = 9.594207344696895410653592330948
absolute error = 6.05e-29
relative error = 6.3058883163954951703834962926449e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.914
y[1] (analytic) = 9.5992226125195283930951258345793
y[1] (numeric) = 9.5992226125195283930951258345188
absolute error = 6.05e-29
relative error = 6.3025937038999907319454693875808e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.915
y[1] (analytic) = 9.6042378803421613755366593381502
y[1] (numeric) = 9.6042378803421613755366593380896
absolute error = 6.06e-29
relative error = 6.3097146025542902704890393933451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.916
y[1] (analytic) = 9.609253148164794357978192841721
y[1] (numeric) = 9.6092531481647943579781928416604
absolute error = 6.06e-29
relative error = 6.3064214320936669457132100408433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.917
y[1] (analytic) = 9.6142684159874273404197263452918
y[1] (numeric) = 9.6142684159874273404197263452312
absolute error = 6.06e-29
relative error = 6.3031316973873061387514399782243e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=122.0MB, alloc=4.0MB, time=7.65
x[1] = 1.918
y[1] (analytic) = 9.6192836838100603228612598488627
y[1] (numeric) = 9.619283683810060322861259848802
absolute error = 6.07e-29
relative error = 6.3102411775382426877108407031710e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.919
y[1] (analytic) = 9.6242989516326933053027933524335
y[1] (numeric) = 9.6242989516326933053027933523728
absolute error = 6.07e-29
relative error = 6.3069528809371284393066141056186e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 9.6293142194553262877443268560044
y[1] (numeric) = 9.6293142194553262877443268559436
absolute error = 6.08e-29
relative error = 6.3140529651798088969126429682855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.921
y[1] (analytic) = 9.6343294872779592701858603595752
y[1] (numeric) = 9.6343294872779592701858603595144
absolute error = 6.08e-29
relative error = 6.3107661078319797407976441952671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.922
y[1] (analytic) = 9.639344755100592252627393863146
y[1] (numeric) = 9.6393447551005922526273938630852
absolute error = 6.08e-29
relative error = 6.3074826707311306358336495833029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.923
y[1] (analytic) = 9.6443600229232252350689273667169
y[1] (numeric) = 9.644360022923225235068927366656
absolute error = 6.09e-29
relative error = 6.3145714028976165830032015234188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.924
y[1] (analytic) = 9.6493752907458582175104608702877
y[1] (numeric) = 9.6493752907458582175104608702268
absolute error = 6.09e-29
relative error = 6.3112894011289587781263807326062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.925
y[1] (analytic) = 9.6543905585684911999519943738585
y[1] (numeric) = 9.6543905585684911999519943737976
absolute error = 6.09e-29
relative error = 6.3080108092322684099299514439140e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.926
y[1] (analytic) = 9.6594058263911241823935278774294
y[1] (numeric) = 9.6594058263911241823935278773684
absolute error = 6.10e-29
relative error = 6.3150882255446522825327303011217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.927
y[1] (analytic) = 9.6644210942137571648350613810002
y[1] (numeric) = 9.6644210942137571648350613809392
absolute error = 6.10e-29
relative error = 6.3118110650747277094748513544164e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.928
y[1] (analytic) = 9.669436362036390147276594884571
y[1] (numeric) = 9.66943636203639014727659488451
absolute error = 6.10e-29
relative error = 6.3085373041488590747707668879463e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.929
y[1] (analytic) = 9.6744516298590231297181283881419
y[1] (numeric) = 9.6744516298590231297181283880808
absolute error = 6.11e-29
relative error = 6.3156034406562384153452154434353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 9.6794668976816561121596618917127
y[1] (numeric) = 9.6794668976816561121596618916516
absolute error = 6.11e-29
relative error = 6.3123311072672973591714614457962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.931
y[1] (analytic) = 9.6844821655042890946011953952835
y[1] (numeric) = 9.6844821655042890946011953952224
absolute error = 6.11e-29
relative error = 6.3090621631413174019683690266115e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.932
y[1] (analytic) = 9.6894974333269220770427288988544
y[1] (numeric) = 9.6894974333269220770427288987932
absolute error = 6.12e-29
relative error = 6.3161170557208941564408916256795e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.933
y[1] (analytic) = 9.6945127011495550594842624024252
y[1] (numeric) = 9.694512701149555059484262402364
absolute error = 6.12e-29
relative error = 6.3128495352575103519109170309430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.934
y[1] (analytic) = 9.6995279689721880419257959059961
y[1] (numeric) = 9.6995279689721880419257959059348
absolute error = 6.13e-29
relative error = 6.3198951738777927183488545249426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.935
y[1] (analytic) = 9.7045432367948210243673294095669
y[1] (numeric) = 9.7045432367948210243673294095056
absolute error = 6.13e-29
relative error = 6.3166290781806982518277440058083e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.936
y[1] (analytic) = 9.7095585046174540068088629131377
y[1] (numeric) = 9.7095585046174540068088629130764
absolute error = 6.13e-29
relative error = 6.3133663565494065688464280223342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.937
y[1] (analytic) = 9.7145737724400869892503964167086
y[1] (numeric) = 9.7145737724400869892503964166472
absolute error = 6.14e-29
relative error = 6.3204008161623824080173292109784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.938
y[1] (analytic) = 9.7195890402627199716919299202794
y[1] (numeric) = 9.719589040262719971691929920218
absolute error = 6.14e-29
relative error = 6.3171395154316484645663398770202e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.939
y[1] (analytic) = 9.7246043080853529541334634238502
y[1] (numeric) = 9.7246043080853529541334634237888
absolute error = 6.14e-29
relative error = 6.3138815786005852111034382061192e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 9.7296195759079859365749969274211
y[1] (numeric) = 9.7296195759079859365749969273596
absolute error = 6.15e-29
relative error = 6.3209048946048548099857983052017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.941
y[1] (analytic) = 9.7346348437306189190165304309919
y[1] (numeric) = 9.7346348437306189190165304309304
absolute error = 6.15e-29
relative error = 6.3176483748240176874664856837153e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.942
y[1] (analytic) = 9.7396501115532519014580639345627
y[1] (numeric) = 9.7396501115532519014580639345012
absolute error = 6.15e-29
relative error = 6.3143952088225635074008489763601e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.943
y[1] (analytic) = 9.7446653793758848838995974381336
y[1] (numeric) = 9.744665379375884883899597438072
absolute error = 6.16e-29
relative error = 6.3214074164489459281602319827676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.944
y[1] (analytic) = 9.7496806471985178663411309417044
y[1] (numeric) = 9.7496806471985178663411309416428
absolute error = 6.16e-29
relative error = 6.3181556636627067584441001761921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.945
y[1] (analytic) = 9.7546959150211508487826644452752
y[1] (numeric) = 9.7546959150211508487826644452136
absolute error = 6.16e-29
relative error = 6.3149072545811321020130235180039e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.946
y[1] (analytic) = 9.7597111828437838312241979488461
y[1] (numeric) = 9.7597111828437838312241979487844
absolute error = 6.17e-29
relative error = 6.3219083888937233018798626787994e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.947
y[1] (analytic) = 9.7647264506664168136657314524169
y[1] (numeric) = 9.7647264506664168136657314523552
absolute error = 6.17e-29
relative error = 6.3186613892075940141028314190774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.948
y[1] (analytic) = 9.7697417184890497961072649559877
y[1] (numeric) = 9.769741718489049796107264955926
absolute error = 6.17e-29
relative error = 6.3154177231967071588594521421682e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.949
y[1] (analytic) = 9.7747569863116827785487984595586
y[1] (numeric) = 9.7747569863116827785487984594968
absolute error = 6.18e-29
relative error = 6.3224078190939297857881451017803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 9.7797722541343157609903319631294
y[1] (numeric) = 9.7797722541343157609903319630676
absolute error = 6.18e-29
relative error = 6.3191655586738816166672281042922e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.951
y[1] (analytic) = 9.7847875219569487434318654667003
y[1] (numeric) = 9.7847875219569487434318654666384
absolute error = 6.19e-29
relative error = 6.3261465679348809633746677774454e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.952
y[1] (analytic) = 9.7898027897795817258733989702711
y[1] (numeric) = 9.7898027897795817258733989702092
absolute error = 6.19e-29
relative error = 6.3229057141603241596024471484610e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.953
y[1] (analytic) = 9.7948180576022147083149324738419
y[1] (numeric) = 9.79481805760221470831493247378
absolute error = 6.19e-29
relative error = 6.3196681792324386889626097459273e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.954
y[1] (analytic) = 9.7998333254248476907564659774128
y[1] (numeric) = 9.7998333254248476907564659773508
absolute error = 6.20e-29
relative error = 6.3266382132384014158581672795405e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.955
y[1] (analytic) = 9.8048485932474806731979994809836
y[1] (numeric) = 9.8048485932474806731979994809216
absolute error = 6.20e-29
relative error = 6.3234020811600186018347104164819e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.956
y[1] (analytic) = 9.8098638610701136556395329845544
y[1] (numeric) = 9.8098638610701136556395329844924
absolute error = 6.20e-29
relative error = 6.3201692580101412917110730389684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.957
y[1] (analytic) = 9.8148791288927466380810664881253
y[1] (numeric) = 9.8148791288927466380810664880632
absolute error = 6.21e-29
relative error = 6.3271283511981195572967505848995e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.958
y[1] (analytic) = 9.8198943967153796205225999916961
y[1] (numeric) = 9.819894396715379620522599991634
absolute error = 6.21e-29
relative error = 6.3238969271168130610979269124864e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.959
y[1] (analytic) = 9.8249096645380126029641334952669
y[1] (numeric) = 9.8249096645380126029641334952048
absolute error = 6.21e-29
relative error = 6.3206688020902092769932316971150e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 9.8299249323606455854056669988378
y[1] (numeric) = 9.8299249323606455854056669987756
absolute error = 6.22e-29
relative error = 6.3276169887355120309554198597319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.961
y[1] (analytic) = 9.8349402001832785678472005024086
y[1] (numeric) = 9.8349402001832785678472005023464
absolute error = 6.22e-29
relative error = 6.3243902590115265582216333121237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.962
y[1] (analytic) = 9.8399554680059115502887340059794
y[1] (numeric) = 9.8399554680059115502887340059172
absolute error = 6.22e-29
relative error = 6.3211668185125400513112247324539e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.963
y[1] (analytic) = 9.8449707358285445327302675095503
y[1] (numeric) = 9.844970735828544532730267509488
absolute error = 6.23e-29
relative error = 6.3281041327297438551785557592973e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.964
y[1] (analytic) = 9.8499860036511775151718010131211
y[1] (numeric) = 9.8499860036511775151718010130588
absolute error = 6.23e-29
relative error = 6.3248820837823254519936379610492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.965
y[1] (analytic) = 9.855001271473810497613334516692
y[1] (numeric) = 9.8550012714738104976133345166296
absolute error = 6.24e-29
relative error = 6.3318104463996797937701714941103e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.966
y[1] (analytic) = 9.8600165392964434800548680202628
y[1] (numeric) = 9.8600165392964434800548680202004
absolute error = 6.24e-29
relative error = 6.3285897900179912486054867680197e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.967
y[1] (analytic) = 9.8650318071190764624964015238336
y[1] (numeric) = 9.8650318071190764624964015237712
absolute error = 6.24e-29
relative error = 6.3253724083250487009447824026064e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.968
y[1] (analytic) = 9.8700470749417094449379350274045
y[1] (numeric) = 9.870047074941709444937935027342
absolute error = 6.25e-29
relative error = 6.3322899602653731716469862887972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.969
y[1] (analytic) = 9.8750623427643424273794685309753
y[1] (numeric) = 9.8750623427643424273794685309128
absolute error = 6.25e-29
relative error = 6.3290739673957615042159822327846e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 9.8800776105869754098210020345461
y[1] (numeric) = 9.8800776105869754098210020344836
absolute error = 6.25e-29
relative error = 6.3258612394935301531986137138848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.971
y[1] (analytic) = 9.885092878409608392262535538117
y[1] (numeric) = 9.8850928784096083922625355380544
absolute error = 6.26e-29
relative error = 6.3327680144237128406109340673664e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.972
y[1] (analytic) = 9.8901081462322413747040690416878
y[1] (numeric) = 9.8901081462322413747040690416252
absolute error = 6.26e-29
relative error = 6.3295566716172099436329366362977e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.973
y[1] (analytic) = 9.8951234140548743571456025452586
y[1] (numeric) = 9.895123414054874357145602545196
absolute error = 6.26e-29
relative error = 6.3263485840999178960183228823006e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.974
y[1] (analytic) = 9.9001386818775073395871360488295
y[1] (numeric) = 9.9001386818775073395871360487668
absolute error = 6.27e-29
relative error = 6.3332446155298995014625294210766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.975
y[1] (analytic) = 9.9051539497001403220286695524003
y[1] (numeric) = 9.9051539497001403220286695523376
absolute error = 6.27e-29
relative error = 6.3300379093954539827276116846609e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=125.8MB, alloc=4.0MB, time=7.90
TOP MAIN SOLVE Loop
x[1] = 1.976
y[1] (analytic) = 9.9101692175227733044702030559711
y[1] (numeric) = 9.9101692175227733044702030559084
absolute error = 6.27e-29
relative error = 6.3268344489149906962991058083023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.977
y[1] (analytic) = 9.915184485345406286911736559542
y[1] (numeric) = 9.9151844853454062869117365594792
absolute error = 6.28e-29
relative error = 6.3337197701987380996104780514069e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.978
y[1] (analytic) = 9.9201997531680392693532700631128
y[1] (numeric) = 9.92019975316803926935327006305
absolute error = 6.28e-29
relative error = 6.3305176874028843391961148168005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.979
y[1] (analytic) = 9.9252150209906722517948035666837
y[1] (numeric) = 9.9252150209906722517948035666208
absolute error = 6.29e-29
relative error = 6.3373941891408735876567949156430e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 9.9302302888133052342363370702545
y[1] (numeric) = 9.9302302888133052342363370701916
absolute error = 6.29e-29
relative error = 6.3341934850049438535216147161907e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.981
y[1] (analytic) = 9.9352455566359382166778705738253
y[1] (numeric) = 9.9352455566359382166778705737624
absolute error = 6.29e-29
relative error = 6.3309960122714734124042388379897e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.982
y[1] (analytic) = 9.9402608244585711991194040773962
y[1] (numeric) = 9.9402608244585711991194040773332
absolute error = 6.30e-29
relative error = 6.3378618642465552154468613362683e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.983
y[1] (analytic) = 9.945276092281204181560937580967
y[1] (numeric) = 9.945276092281204181560937580904
absolute error = 6.30e-29
relative error = 6.3346657664834455053029143562702e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.984
y[1] (analytic) = 9.9502913601038371640024710845378
y[1] (numeric) = 9.9502913601038371640024710844748
absolute error = 6.30e-29
relative error = 6.3314728905930808654312899034697e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.985
y[1] (analytic) = 9.9553066279264701464440045881087
y[1] (numeric) = 9.9553066279264701464440045880456
absolute error = 6.31e-29
relative error = 6.3383281257247133723216932991989e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.986
y[1] (analytic) = 9.9603218957491031288855380916795
y[1] (numeric) = 9.9603218957491031288855380916164
absolute error = 6.31e-29
relative error = 6.3351366211296858227888022149597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.987
y[1] (analytic) = 9.9653371635717361113270715952503
y[1] (numeric) = 9.9653371635717361113270715951872
absolute error = 6.31e-29
relative error = 6.3319483289197564388820136884298e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.988
y[1] (analytic) = 9.9703524313943690937686050988212
y[1] (numeric) = 9.970352431394369093768605098758
absolute error = 6.32e-29
relative error = 6.3387929799750702470329191294447e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.989
y[1] (analytic) = 9.975367699217002076210138602392
y[1] (numeric) = 9.9753676992170020762101386023288
absolute error = 6.32e-29
relative error = 6.3356060553999193821525606985099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 9.9803829670396350586516721059628
y[1] (numeric) = 9.9803829670396350586516721058996
absolute error = 6.32e-29
relative error = 6.3324223337640400256791172006714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.991
y[1] (analytic) = 9.9853982348622680410932056095337
y[1] (numeric) = 9.9853982348622680410932056094704
absolute error = 6.33e-29
relative error = 6.3392564333587761216194501555812e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.992
y[1] (analytic) = 9.9904135026849010235347391131045
y[1] (numeric) = 9.9904135026849010235347391130412
absolute error = 6.33e-29
relative error = 6.3360740757115076597110066565072e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.993
y[1] (analytic) = 9.9954287705075340059762726166754
y[1] (numeric) = 9.995428770507534005976272616612
absolute error = 6.34e-29
relative error = 6.3428994849193210562906208179570e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.994
y[1] (analytic) = 10.000444038330166988417806120246
y[1] (numeric) = 10.000444038330166988417806120183
absolute error = 6.3e-29
relative error = 6.2997202682731556855645331837934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.995
y[1] (analytic) = 10.005459306152799970859339623817
y[1] (numeric) = 10.005459306152799970859339623754
absolute error = 6.3e-29
relative error = 6.2965625137527180135416938187889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.996
y[1] (analytic) = 10.010474573975432953300873127388
y[1] (numeric) = 10.010474573975432953300873127325
absolute error = 6.3e-29
relative error = 6.2934079233149661508094585012443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.997
y[1] (analytic) = 10.015489841798065935742406630959
y[1] (numeric) = 10.015489841798065935742406630896
absolute error = 6.3e-29
relative error = 6.2902564922066461877895238700468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.998
y[1] (analytic) = 10.02050510962069891818394013453
y[1] (numeric) = 10.020505109620698918183940134467
absolute error = 6.3e-29
relative error = 6.2871082156840202387465861704120e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 1.999
y[1] (analytic) = 10.0255203774433319006254736381
y[1] (numeric) = 10.025520377443331900625473638038
absolute error = 6.2e-29
relative error = 6.1842176431554959312590589615921e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 10.030535645265964883067007141671
y[1] (numeric) = 10.030535645265964883067007141609
absolute error = 6.2e-29
relative error = 6.1811255343339181832934294321112e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.001
y[1] (analytic) = 10.035550913088597865508540645242
y[1] (numeric) = 10.03555091308859786550854064518
absolute error = 6.2e-29
relative error = 6.1780365160758802431718435103559e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.002
y[1] (analytic) = 10.040566180911230847950074148813
y[1] (numeric) = 10.040566180911230847950074148751
absolute error = 6.2e-29
relative error = 6.1749505837501680152781512808302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.003
y[1] (analytic) = 10.045581448733863830391607652384
y[1] (numeric) = 10.045581448733863830391607652322
absolute error = 6.2e-29
relative error = 6.1718677327348159593543978353579e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.004
y[1] (analytic) = 10.050596716556496812833141155955
y[1] (numeric) = 10.050596716556496812833141155893
absolute error = 6.2e-29
relative error = 6.1687879584170840152629036248611e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.005
y[1] (analytic) = 10.055611984379129795274674659525
y[1] (numeric) = 10.055611984379129795274674659464
absolute error = 6.1e-29
relative error = 6.0662643004483792000788222244194e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.006
y[1] (analytic) = 10.060627252201762777716208163096
y[1] (numeric) = 10.060627252201762777716208163035
absolute error = 6.1e-29
relative error = 6.0632402404780659502283342771489e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.007
y[1] (analytic) = 10.065642520024395760157741666667
y[1] (numeric) = 10.065642520024395760157741666606
absolute error = 6.1e-29
relative error = 6.0602191940204286478116784055608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.008
y[1] (analytic) = 10.070657787847028742599275170238
y[1] (numeric) = 10.070657787847028742599275170177
absolute error = 6.1e-29
relative error = 6.0572011565732073188038040637253e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.009
y[1] (analytic) = 10.075673055669661725040808673809
y[1] (numeric) = 10.075673055669661725040808673748
absolute error = 6.1e-29
relative error = 6.0541861236431061703126125236238e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 10.08068832349229470748234217738
y[1] (numeric) = 10.080688323492294707482342177319
absolute error = 6.1e-29
relative error = 6.0511740907457712916209147064477e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.011
y[1] (analytic) = 10.08570359131492768992387568095
y[1] (numeric) = 10.08570359131492768992387568089
absolute error = 6.0e-29
relative error = 5.9490148066286246771403372728490e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.012
y[1] (analytic) = 10.090718859137560672365409184521
y[1] (numeric) = 10.090718859137560672365409184461
absolute error = 6.0e-29
relative error = 5.9460580398261253607004066877232e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.013
y[1] (analytic) = 10.095734126960193654806942688092
y[1] (numeric) = 10.095734126960193654806942688032
absolute error = 6.0e-29
relative error = 5.9431042106955609665818272507198e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.014
y[1] (analytic) = 10.100749394782826637248476191663
y[1] (numeric) = 10.100749394782826637248476191603
absolute error = 6.0e-29
relative error = 5.9401533148610547297563149233857e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.015
y[1] (analytic) = 10.105764662605459619690009695234
y[1] (numeric) = 10.105764662605459619690009695174
absolute error = 6.0e-29
relative error = 5.9372053479554164891956418142424e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.016
y[1] (analytic) = 10.110779930428092602131543198805
y[1] (numeric) = 10.110779930428092602131543198745
absolute error = 6.0e-29
relative error = 5.9342603056201211437148900077869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.017
y[1] (analytic) = 10.115795198250725584573076702375
y[1] (numeric) = 10.115795198250725584573076702316
absolute error = 5.9e-29
relative error = 5.8324628804468657190383728068605e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.018
y[1] (analytic) = 10.120810466073358567014610205946
y[1] (numeric) = 10.120810466073358567014610205887
absolute error = 5.9e-29
relative error = 5.8295726609818276289892953178580e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.019
y[1] (analytic) = 10.125825733895991549456143709517
y[1] (numeric) = 10.125825733895991549456143709458
absolute error = 5.9e-29
relative error = 5.8266853045375572834573541116579e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 10.130841001718624531897677213088
y[1] (numeric) = 10.130841001718624531897677213029
absolute error = 5.9e-29
relative error = 5.8238008068620436412378207680382e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.021
y[1] (analytic) = 10.135856269541257514339210716659
y[1] (numeric) = 10.1358562695412575143392107166
absolute error = 5.9e-29
relative error = 5.8209191637116913188027698918540e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.022
y[1] (analytic) = 10.14087153736389049678074422023
y[1] (numeric) = 10.140871537363890496780744220171
absolute error = 5.9e-29
relative error = 5.8180403708512997800694351886433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.023
y[1] (analytic) = 10.1458868051865234792222777238
y[1] (numeric) = 10.145886805186523479222277723742
absolute error = 5.8e-29
relative error = 5.7166023151717706796201570178824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.024
y[1] (analytic) = 10.150902073009156461663811227371
y[1] (numeric) = 10.150902073009156461663811227313
absolute error = 5.8e-29
relative error = 5.7137779069132866031974197861541e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.025
y[1] (analytic) = 10.155917340831789444105344730942
y[1] (numeric) = 10.155917340831789444105344730884
absolute error = 5.8e-29
relative error = 5.7109562881938232517884334060127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.026
y[1] (analytic) = 10.160932608654422426546878234513
y[1] (numeric) = 10.160932608654422426546878234455
absolute error = 5.8e-29
relative error = 5.7081374548827700320195348702742e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.027
y[1] (analytic) = 10.165947876477055408988411738084
y[1] (numeric) = 10.165947876477055408988411738026
absolute error = 5.8e-29
relative error = 5.7053214028576675307703885777875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.028
y[1] (analytic) = 10.170963144299688391429945241655
y[1] (numeric) = 10.170963144299688391429945241597
absolute error = 5.8e-29
relative error = 5.7025081280041874185757286228674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.029
y[1] (analytic) = 10.175978412122321373871478745225
y[1] (numeric) = 10.175978412122321373871478745168
absolute error = 5.7e-29
relative error = 5.6014269774882484053438922340633e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 10.180993679944954356313012248796
y[1] (numeric) = 10.180993679944954356313012248739
absolute error = 5.7e-29
relative error = 5.5986676538540177411048065728641e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.031
y[1] (analytic) = 10.186008947767587338754545752367
y[1] (numeric) = 10.18600894776758733875454575231
absolute error = 5.7e-29
relative error = 5.5959110474267139411338046986283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.032
y[1] (analytic) = 10.191024215590220321196079255938
y[1] (numeric) = 10.191024215590220321196079255881
absolute error = 5.7e-29
relative error = 5.5931571541947126055328530230875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.033
y[1] (analytic) = 10.196039483412853303637612759509
y[1] (numeric) = 10.196039483412853303637612759452
absolute error = 5.7e-29
relative error = 5.5904059701542823484715973157470e-28 %
Correct digits = 29
h = 0.001
memory used=129.7MB, alloc=4.0MB, time=8.14
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.034
y[1] (analytic) = 10.20105475123548628607914626308
y[1] (numeric) = 10.201054751235486286079146263023
absolute error = 5.7e-29
relative error = 5.5876574913095653954979141312259e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.035
y[1] (analytic) = 10.20607001905811926852067976665
y[1] (numeric) = 10.206070019058119268520679766594
absolute error = 5.6e-29
relative error = 5.4869308064151449356333842941783e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.036
y[1] (analytic) = 10.211085286880752250962213270221
y[1] (numeric) = 10.211085286880752250962213270165
absolute error = 5.6e-29
relative error = 5.4842358502233889705372971702616e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.037
y[1] (analytic) = 10.216100554703385233403746773792
y[1] (numeric) = 10.216100554703385233403746773736
absolute error = 5.6e-29
relative error = 5.4815435400367304585242695329663e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.038
y[1] (analytic) = 10.221115822526018215845280277363
y[1] (numeric) = 10.221115822526018215845280277307
absolute error = 5.6e-29
relative error = 5.4788538719601668027546305390835e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.039
y[1] (analytic) = 10.226131090348651198286813780934
y[1] (numeric) = 10.226131090348651198286813780878
absolute error = 5.6e-29
relative error = 5.4761668421063364119734855510800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 10.231146358171284180728347284505
y[1] (numeric) = 10.231146358171284180728347284449
absolute error = 5.6e-29
relative error = 5.4734824465954999725558514895352e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.041
y[1] (analytic) = 10.236161625993917163169880788075
y[1] (numeric) = 10.23616162599391716316988078802
absolute error = 5.5e-29
relative error = 5.3731078122420303153283276503631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.042
y[1] (analytic) = 10.241176893816550145611414291646
y[1] (numeric) = 10.241176893816550145611414291591
absolute error = 5.5e-29
relative error = 5.3704765155661037578771384595450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.043
y[1] (analytic) = 10.246192161639183128052947795217
y[1] (numeric) = 10.246192161639183128052947795162
absolute error = 5.5e-29
relative error = 5.3678477948046910786026024152671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.044
y[1] (analytic) = 10.251207429461816110494481298788
y[1] (numeric) = 10.251207429461816110494481298733
absolute error = 5.5e-29
relative error = 5.3652216461770958285641471303281e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.045
y[1] (analytic) = 10.256222697284449092936014802359
y[1] (numeric) = 10.256222697284449092936014802304
absolute error = 5.5e-29
relative error = 5.3625980659100165641003015816090e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.046
y[1] (analytic) = 10.26123796510708207537754830593
y[1] (numeric) = 10.261237965107082075377548305875
absolute error = 5.5e-29
relative error = 5.3599770502375287749682877489688e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.047
y[1] (analytic) = 10.2662532329297150578190818095
y[1] (numeric) = 10.266253232929715057819081809446
absolute error = 5.4e-29
relative error = 5.2599520754846838315370280557545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.048
y[1] (analytic) = 10.271268500752348040260615313071
y[1] (numeric) = 10.271268500752348040260615313017
absolute error = 5.4e-29
relative error = 5.2573837395103260757599103662741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.049
y[1] (analytic) = 10.276283768574981022702148816642
y[1] (numeric) = 10.276283768574981022702148816588
absolute error = 5.4e-29
relative error = 5.2548179104524879468795980625325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 10.281299036397614005143682320213
y[1] (numeric) = 10.281299036397614005143682320159
absolute error = 5.4e-29
relative error = 5.2522545846425111234908763073800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.051
y[1] (analytic) = 10.286314304220246987585215823784
y[1] (numeric) = 10.28631430422024698758521582373
absolute error = 5.4e-29
relative error = 5.2496937584188921517095545734416e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.052
y[1] (analytic) = 10.291329572042879970026749327355
y[1] (numeric) = 10.291329572042879970026749327301
absolute error = 5.4e-29
relative error = 5.2471354281272650112847448489905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.053
y[1] (analytic) = 10.296344839865512952468282830925
y[1] (numeric) = 10.296344839865512952468282830872
absolute error = 5.3e-29
relative error = 5.1474577458588951450206897836667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.054
y[1] (analytic) = 10.301360107688145934909816334496
y[1] (numeric) = 10.301360107688145934909816334443
absolute error = 5.3e-29
relative error = 5.1449516807440660821458014244731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.055
y[1] (analytic) = 10.306375375510778917351349838067
y[1] (numeric) = 10.306375375510778917351349838014
absolute error = 5.3e-29
relative error = 5.1424480546220495049768740271861e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.056
y[1] (analytic) = 10.311390643333411899792883341638
y[1] (numeric) = 10.311390643333411899792883341585
absolute error = 5.3e-29
relative error = 5.1399468639340037610542199055775e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.057
y[1] (analytic) = 10.316405911156044882234416845209
y[1] (numeric) = 10.316405911156044882234416845156
absolute error = 5.3e-29
relative error = 5.1374481051280076483847720592451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.058
y[1] (analytic) = 10.32142117897867786467595034878
y[1] (numeric) = 10.321421178978677864675950348727
absolute error = 5.3e-29
relative error = 5.1349517746590436019083946189830e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.059
y[1] (analytic) = 10.326436446801310847117483852351
y[1] (numeric) = 10.326436446801310847117483852298
absolute error = 5.3e-29
relative error = 5.1324578689889809289594347381577e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 10.331451714623943829559017355921
y[1] (numeric) = 10.331451714623943829559017355869
absolute error = 5.2e-29
relative error = 5.0331745660094542049993474862165e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.061
y[1] (analytic) = 10.336466982446576812000550859492
y[1] (numeric) = 10.33646698244657681200055085944
absolute error = 5.2e-29
relative error = 5.0307324628721376333326811361503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.062
y[1] (analytic) = 10.341482250269209794442084363063
y[1] (numeric) = 10.341482250269209794442084363011
absolute error = 5.2e-29
relative error = 5.0282927284090570622204926389940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.063
y[1] (analytic) = 10.346497518091842776883617866634
y[1] (numeric) = 10.346497518091842776883617866582
absolute error = 5.2e-29
relative error = 5.0258553591757031809494211447433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.064
y[1] (analytic) = 10.351512785914475759325151370205
y[1] (numeric) = 10.351512785914475759325151370153
absolute error = 5.2e-29
relative error = 5.0234203517342420844470231693824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.065
y[1] (analytic) = 10.356528053737108741766684873776
y[1] (numeric) = 10.356528053737108741766684873724
absolute error = 5.2e-29
relative error = 5.0209877026534991100719882913342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.066
y[1] (analytic) = 10.361543321559741724208218377346
y[1] (numeric) = 10.361543321559741724208218377295
absolute error = 5.1e-29
relative error = 4.9220466891145399767036957973593e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.067
y[1] (analytic) = 10.366558589382374706649751880917
y[1] (numeric) = 10.366558589382374706649751880866
absolute error = 5.1e-29
relative error = 4.9196654376926171223366403083426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.068
y[1] (analytic) = 10.371573857205007689091285384488
y[1] (numeric) = 10.371573857205007689091285384437
absolute error = 5.1e-29
relative error = 4.9172864892217792997436341960078e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.069
y[1] (analytic) = 10.376589125027640671532818888059
y[1] (numeric) = 10.376589125027640671532818888008
absolute error = 5.1e-29
relative error = 4.9149098403628030893522646289724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 10.38160439285027365397435239163
y[1] (numeric) = 10.381604392850273653974352391579
absolute error = 5.1e-29
relative error = 4.9125354877829176772318045977506e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.071
y[1] (analytic) = 10.386619660672906636415885895201
y[1] (numeric) = 10.38661966067290663641588589515
absolute error = 5.1e-29
relative error = 4.9101634281557892766150823357526e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.072
y[1] (analytic) = 10.391634928495539618857419398771
y[1] (numeric) = 10.391634928495539618857419398721
absolute error = 5.0e-29
relative error = 4.8115624099622603867958567630708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.073
y[1] (analytic) = 10.396650196318172601298952902342
y[1] (numeric) = 10.396650196318172601298952902292
absolute error = 5.0e-29
relative error = 4.8092413475358434739223421191908e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.074
y[1] (analytic) = 10.401665464140805583740486405913
y[1] (numeric) = 10.401665464140805583740486405863
absolute error = 5.0e-29
relative error = 4.8069225233567037229705955704351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.075
y[1] (analytic) = 10.406680731963438566182019909484
y[1] (numeric) = 10.406680731963438566182019909434
absolute error = 5.0e-29
relative error = 4.8046059341888209741884410665457e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.076
y[1] (analytic) = 10.411695999786071548623553413055
y[1] (numeric) = 10.411695999786071548623553413005
absolute error = 5.0e-29
relative error = 4.8022915768024101741045352664172e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.077
y[1] (analytic) = 10.416711267608704531065086916626
y[1] (numeric) = 10.416711267608704531065086916576
absolute error = 5.0e-29
relative error = 4.7999794479739063656432427602706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.078
y[1] (analytic) = 10.421726535431337513506620420196
y[1] (numeric) = 10.421726535431337513506620420147
absolute error = 4.9e-29
relative error = 4.7017161535962307271473507742161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.079
y[1] (analytic) = 10.426741803253970495948153923767
y[1] (numeric) = 10.426741803253970495948153923718
absolute error = 4.9e-29
relative error = 4.6994546258648232087600745112174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 10.431757071076603478389687427338
y[1] (numeric) = 10.431757071076603478389687427289
absolute error = 4.9e-29
relative error = 4.6971952726793112745250937061638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.081
y[1] (analytic) = 10.436772338899236460831220930909
y[1] (numeric) = 10.43677233889923646083122093086
absolute error = 4.9e-29
relative error = 4.6949380909048377948160475294669e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.082
y[1] (analytic) = 10.44178760672186944327275443448
y[1] (numeric) = 10.441787606721869443272754434431
absolute error = 4.9e-29
relative error = 4.6926830774125684202748294470800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.083
y[1] (analytic) = 10.446802874544502425714287938051
y[1] (numeric) = 10.446802874544502425714287938002
absolute error = 4.9e-29
relative error = 4.6904302290796771248258256883439e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.084
y[1] (analytic) = 10.451818142367135408155821441621
y[1] (numeric) = 10.451818142367135408155821441573
absolute error = 4.8e-29
relative error = 4.5925024092630188966330972190784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.085
y[1] (analytic) = 10.456833410189768390597354945192
y[1] (numeric) = 10.456833410189768390597354945144
absolute error = 4.8e-29
relative error = 4.5902997702178088156275177959517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.086
y[1] (analytic) = 10.461848678012401373038888448763
y[1] (numeric) = 10.461848678012401373038888448715
absolute error = 4.8e-29
relative error = 4.5880992430029393003755391201146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.087
y[1] (analytic) = 10.466863945835034355480421952334
y[1] (numeric) = 10.466863945835034355480421952286
absolute error = 4.8e-29
relative error = 4.5859008245827174799153687611687e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.088
y[1] (analytic) = 10.471879213657667337921955455905
y[1] (numeric) = 10.471879213657667337921955455857
absolute error = 4.8e-29
relative error = 4.5837045119272659868694322818768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.089
y[1] (analytic) = 10.476894481480300320363488959476
y[1] (numeric) = 10.476894481480300320363488959428
absolute error = 4.8e-29
relative error = 4.5815103020125090380963976086925e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 10.481909749302933302805022463046
y[1] (numeric) = 10.481909749302933302805022462999
absolute error = 4.7e-29
relative error = 4.4839157294905719187342365073195e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=133.5MB, alloc=4.0MB, time=8.37
x[1] = 2.091
y[1] (analytic) = 10.486925017125566285246555966617
y[1] (numeric) = 10.48692501712556628524655596657
absolute error = 4.7e-29
relative error = 4.4817713412889982353680317074594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.092
y[1] (analytic) = 10.491940284948199267688089470188
y[1] (numeric) = 10.491940284948199267688089470141
absolute error = 4.7e-29
relative error = 4.4796290031717472801886014819778e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.093
y[1] (analytic) = 10.496955552770832250129622973759
y[1] (numeric) = 10.496955552770832250129622973712
absolute error = 4.7e-29
relative error = 4.4774887122003322074317029623972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.094
y[1] (analytic) = 10.50197082059346523257115647733
y[1] (numeric) = 10.501970820593465232571156477283
absolute error = 4.7e-29
relative error = 4.4753504654418793267213726362451e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.095
y[1] (analytic) = 10.506986088416098215012689980901
y[1] (numeric) = 10.506986088416098215012689980854
absolute error = 4.7e-29
relative error = 4.4732142599691147065176870168482e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.096
y[1] (analytic) = 10.512001356238731197454223484471
y[1] (numeric) = 10.512001356238731197454223484425
absolute error = 4.6e-29
relative error = 4.3759507291824710113195295782615e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.097
y[1] (analytic) = 10.517016624061364179895756988042
y[1] (numeric) = 10.517016624061364179895756987996
absolute error = 4.6e-29
relative error = 4.3738639620250163279569546952961e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.098
y[1] (analytic) = 10.522031891883997162337290491613
y[1] (numeric) = 10.522031891883997162337290491567
absolute error = 4.6e-29
relative error = 4.3717791841594181314231334585490e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.099
y[1] (analytic) = 10.527047159706630144778823995184
y[1] (numeric) = 10.527047159706630144778823995138
absolute error = 4.6e-29
relative error = 4.3696963927424770079684297265535e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 10.532062427529263127220357498755
y[1] (numeric) = 10.532062427529263127220357498709
absolute error = 4.6e-29
relative error = 4.3676155849364091617741590457312e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.101
y[1] (analytic) = 10.537077695351896109661891002326
y[1] (numeric) = 10.53707769535189610966189100228
absolute error = 4.6e-29
relative error = 4.3655367579088335267614155145338e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.102
y[1] (analytic) = 10.542092963174529092103424505896
y[1] (numeric) = 10.542092963174529092103424505851
absolute error = 4.5e-29
relative error = 4.2686020847276989387711292539365e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.103
y[1] (analytic) = 10.547108230997162074544958009467
y[1] (numeric) = 10.547108230997162074544958009422
absolute error = 4.5e-29
relative error = 4.2665723167368631332843146418328e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.104
y[1] (analytic) = 10.552123498819795056986491513038
y[1] (numeric) = 10.552123498819795056986491512993
absolute error = 4.5e-29
relative error = 4.2645444781832809740004342641512e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.105
y[1] (analytic) = 10.557138766642428039428025016609
y[1] (numeric) = 10.557138766642428039428025016564
absolute error = 4.5e-29
relative error = 4.2625185663171606504973461718642e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.106
y[1] (analytic) = 10.56215403446506102186955852018
y[1] (numeric) = 10.562154034465061021869558520135
absolute error = 4.5e-29
relative error = 4.2604945783939331288209466722573e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.107
y[1] (analytic) = 10.567169302287694004311092023751
y[1] (numeric) = 10.567169302287694004311092023706
absolute error = 4.5e-29
relative error = 4.2584725116742397576160008029301e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.108
y[1] (analytic) = 10.572184570110326986752625527321
y[1] (numeric) = 10.572184570110326986752625527277
absolute error = 4.4e-29
relative error = 4.1618645331256105782106704874349e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.109
y[1] (analytic) = 10.577199837932959969194159030892
y[1] (numeric) = 10.577199837932959969194159030848
absolute error = 4.4e-29
relative error = 4.1598911502270209098473652856864e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 10.582215105755592951635692534463
y[1] (numeric) = 10.582215105755592951635692534419
absolute error = 4.4e-29
relative error = 4.1579196378335483880891437855510e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.111
y[1] (analytic) = 10.587230373578225934077226038034
y[1] (numeric) = 10.58723037357822593407722603799
absolute error = 4.4e-29
relative error = 4.1559499932869668871947386961215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.112
y[1] (analytic) = 10.592245641400858916518759541605
y[1] (numeric) = 10.592245641400858916518759541561
absolute error = 4.4e-29
relative error = 4.1539822139340848006004230054509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.113
y[1] (analytic) = 10.597260909223491898960293045176
y[1] (numeric) = 10.597260909223491898960293045132
absolute error = 4.4e-29
relative error = 4.1520162971267331277179807797029e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.114
y[1] (analytic) = 10.602276177046124881401826548746
y[1] (numeric) = 10.602276177046124881401826548703
absolute error = 4.3e-29
relative error = 4.0557328711258046492144148927395e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.115
y[1] (analytic) = 10.607291444868757863843360052317
y[1] (numeric) = 10.607291444868757863843360052274
absolute error = 4.3e-29
relative error = 4.0538152669314189259760156421991e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.116
y[1] (analytic) = 10.612306712691390846284893555888
y[1] (numeric) = 10.612306712691390846284893555845
absolute error = 4.3e-29
relative error = 4.0518994752173681608881252756384e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.117
y[1] (analytic) = 10.617321980514023828726427059459
y[1] (numeric) = 10.617321980514023828726427059416
absolute error = 4.3e-29
relative error = 4.0499854934151870705901148243981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.118
y[1] (analytic) = 10.62233724833665681116796056303
y[1] (numeric) = 10.622337248336656811167960562987
absolute error = 4.3e-29
relative error = 4.0480733189612611088004122206094e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.119
y[1] (analytic) = 10.627352516159289793609494066601
y[1] (numeric) = 10.627352516159289793609494066558
absolute error = 4.3e-29
relative error = 4.0461629492968150204998929132848e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 10.632367783981922776051027570171
y[1] (numeric) = 10.632367783981922776051027570129
absolute error = 4.2e-29
relative error = 3.9502019543826013952879494240517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.121
y[1] (analytic) = 10.637383051804555758492561073742
y[1] (numeric) = 10.6373830518045557584925610737
absolute error = 4.2e-29
relative error = 3.9483395300759617906697089952803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.122
y[1] (analytic) = 10.642398319627188740934094577313
y[1] (numeric) = 10.642398319627188740934094577271
absolute error = 4.2e-29
relative error = 3.9464788611173963044347091324172e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.123
y[1] (analytic) = 10.647413587449821723375628080884
y[1] (numeric) = 10.647413587449821723375628080842
absolute error = 4.2e-29
relative error = 3.9446199450264319161613060664104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.124
y[1] (analytic) = 10.652428855272454705817161584455
y[1] (numeric) = 10.652428855272454705817161584413
absolute error = 4.2e-29
relative error = 3.9427627793272669293834523441568e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.125
y[1] (analytic) = 10.657444123095087688258695088026
y[1] (numeric) = 10.657444123095087688258695087984
absolute error = 4.2e-29
relative error = 3.9409073615487599802402130724654e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.126
y[1] (analytic) = 10.662459390917720670700228591596
y[1] (numeric) = 10.662459390917720670700228591555
absolute error = 4.1e-29
relative error = 3.8452666966238376705463934500131e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.127
y[1] (analytic) = 10.667474658740353653141762095167
y[1] (numeric) = 10.667474658740353653141762095126
absolute error = 4.1e-29
relative error = 3.8434588608473337506260613421381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.128
y[1] (analytic) = 10.672489926562986635583295598738
y[1] (numeric) = 10.672489926562986635583295598697
absolute error = 4.1e-29
relative error = 3.8416527241646047404049024787254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.129
y[1] (analytic) = 10.677505194385619618024829102309
y[1] (numeric) = 10.677505194385619618024829102268
absolute error = 4.1e-29
relative error = 3.8398482841814367719970091473591e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 10.68252046220825260046636260588
y[1] (numeric) = 10.682520462208252600466362605839
absolute error = 4.1e-29
relative error = 3.8380455385081121537941936501068e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.131
y[1] (analytic) = 10.687535730030885582907896109451
y[1] (numeric) = 10.68753573003088558290789610941
absolute error = 4.1e-29
relative error = 3.8362444847593988210143746948509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.132
y[1] (analytic) = 10.692550997853518565349429613021
y[1] (numeric) = 10.692550997853518565349429612981
absolute error = 4.0e-29
relative error = 3.7409220688336973814037580536896e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.133
y[1] (analytic) = 10.697566265676151547790963116592
y[1] (numeric) = 10.697566265676151547790963116552
absolute error = 4.0e-29
relative error = 3.7391682375777978514546704971712e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.134
y[1] (analytic) = 10.702581533498784530232496620163
y[1] (numeric) = 10.702581533498784530232496620123
absolute error = 4.0e-29
relative error = 3.7374160500250434944483655906589e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.135
y[1] (analytic) = 10.707596801321417512674030123734
y[1] (numeric) = 10.707596801321417512674030123694
absolute error = 4.0e-29
relative error = 3.7356655038657811789942914147381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.136
y[1] (analytic) = 10.712612069144050495115563627305
y[1] (numeric) = 10.712612069144050495115563627265
absolute error = 4.0e-29
relative error = 3.7339165967946829668318409037761e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.137
y[1] (analytic) = 10.717627336966683477557097130876
y[1] (numeric) = 10.717627336966683477557097130836
absolute error = 4.0e-29
relative error = 3.7321693265107359930523220264229e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.138
y[1] (analytic) = 10.722642604789316459998630634447
y[1] (numeric) = 10.722642604789316459998630634407
absolute error = 4.0e-29
relative error = 3.7304236907172323747206792191139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.139
y[1] (analytic) = 10.727657872611949442440164138017
y[1] (numeric) = 10.727657872611949442440164137978
absolute error = 3.9e-29
relative error = 3.6354626949437151691089256036487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 10.732673140434582424881697641588
y[1] (numeric) = 10.732673140434582424881697641549
absolute error = 3.9e-29
relative error = 3.6337638806002835265065382552357e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.141
y[1] (analytic) = 10.737688408257215407323231145159
y[1] (numeric) = 10.73768840825721540732323114512
absolute error = 3.9e-29
relative error = 3.6320666531922497649341391248035e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.142
y[1] (analytic) = 10.74270367607984838976476464873
y[1] (numeric) = 10.742703676079848389764764648691
absolute error = 3.9e-29
relative error = 3.6303710104970152879196974165285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.143
y[1] (analytic) = 10.747718943902481372206298152301
y[1] (numeric) = 10.747718943902481372206298152262
absolute error = 3.9e-29
relative error = 3.6286769502961300731329873384060e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.144
y[1] (analytic) = 10.752734211725114354647831655872
y[1] (numeric) = 10.752734211725114354647831655833
absolute error = 3.9e-29
relative error = 3.6269844703752829975391753107294e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.145
y[1] (analytic) = 10.757749479547747337089365159442
y[1] (numeric) = 10.757749479547747337089365159404
absolute error = 3.8e-29
relative error = 3.5323373231775154668042757864535e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.146
y[1] (analytic) = 10.762764747370380319530898663013
y[1] (numeric) = 10.762764747370380319530898662975
absolute error = 3.8e-29
relative error = 3.5306913132412724493453735144188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.147
y[1] (analytic) = 10.767780015193013301972432166584
y[1] (numeric) = 10.767780015193013301972432166546
absolute error = 3.8e-29
relative error = 3.5290468366165676182092089249849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.148
y[1] (analytic) = 10.772795283015646284413965670155
y[1] (numeric) = 10.772795283015646284413965670117
absolute error = 3.8e-29
relative error = 3.5274038911619044116830407644053e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=137.3MB, alloc=4.0MB, time=8.61
x[1] = 2.149
y[1] (analytic) = 10.777810550838279266855499173726
y[1] (numeric) = 10.777810550838279266855499173688
absolute error = 3.8e-29
relative error = 3.5257624747397723016729509362226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 10.782825818660912249297032677297
y[1] (numeric) = 10.782825818660912249297032677259
absolute error = 3.8e-29
relative error = 3.5241225852166375238582193311359e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.151
y[1] (analytic) = 10.787841086483545231738566180867
y[1] (numeric) = 10.78784108648354523173856618083
absolute error = 3.7e-29
relative error = 3.4297872672928566275529294549889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.152
y[1] (analytic) = 10.792856354306178214180099684438
y[1] (numeric) = 10.792856354306178214180099684401
absolute error = 3.7e-29
relative error = 3.4281934999753413596033230751306e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.153
y[1] (analytic) = 10.797871622128811196621633188009
y[1] (numeric) = 10.797871622128811196621633187972
absolute error = 3.7e-29
relative error = 3.4266012131662492363522300314357e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.154
y[1] (analytic) = 10.80288688995144417906316669158
y[1] (numeric) = 10.802886889951444179063166691543
absolute error = 3.7e-29
relative error = 3.4250104048035908105229114473913e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.155
y[1] (analytic) = 10.807902157774077161504700195151
y[1] (numeric) = 10.807902157774077161504700195114
absolute error = 3.7e-29
relative error = 3.4234210728292039934414623005479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.156
y[1] (analytic) = 10.812917425596710143946233698722
y[1] (numeric) = 10.812917425596710143946233698685
absolute error = 3.7e-29
relative error = 3.4218332151887451789732612512433e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.157
y[1] (analytic) = 10.817932693419343126387767202292
y[1] (numeric) = 10.817932693419343126387767202256
absolute error = 3.6e-29
relative error = 3.3278077263227160572264863020026e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.158
y[1] (analytic) = 10.822947961241976108829300705863
y[1] (numeric) = 10.822947961241976108829300705827
absolute error = 3.6e-29
relative error = 3.3262656467461068282843053537625e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.159
y[1] (analytic) = 10.827963229064609091270834209434
y[1] (numeric) = 10.827963229064609091270834209398
absolute error = 3.6e-29
relative error = 3.3247249956823059450845442118663e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 10.832978496887242073712367713005
y[1] (numeric) = 10.832978496887242073712367712969
absolute error = 3.6e-29
relative error = 3.3231857711472678404803384043608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.161
y[1] (analytic) = 10.837993764709875056153901216576
y[1] (numeric) = 10.83799376470987505615390121654
absolute error = 3.6e-29
relative error = 3.3216479711606194055703521302263e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.162
y[1] (analytic) = 10.843009032532508038595434720147
y[1] (numeric) = 10.843009032532508038595434720111
absolute error = 3.6e-29
relative error = 3.3201115937456514965020957231355e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.163
y[1] (analytic) = 10.848024300355141021036968223717
y[1] (numeric) = 10.848024300355141021036968223682
absolute error = 3.5e-29
relative error = 3.2263939525701629519226586450106e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.164
y[1] (analytic) = 10.853039568177774003478501727288
y[1] (numeric) = 10.853039568177774003478501727253
absolute error = 3.5e-29
relative error = 3.2249030126660177749578145328825e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.165
y[1] (analytic) = 10.858054836000406985920035230859
y[1] (numeric) = 10.858054836000406985920035230824
absolute error = 3.5e-29
relative error = 3.2234134500735623394959402536525e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.166
y[1] (analytic) = 10.86307010382303996836156873443
y[1] (numeric) = 10.863070103823039968361568734395
absolute error = 3.5e-29
relative error = 3.2219252628851627262274749072750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.167
y[1] (analytic) = 10.868085371645672950803102238001
y[1] (numeric) = 10.868085371645672950803102237966
absolute error = 3.5e-29
relative error = 3.2204384491967062598102033452503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.168
y[1] (analytic) = 10.873100639468305933244635741572
y[1] (numeric) = 10.873100639468305933244635741537
absolute error = 3.5e-29
relative error = 3.2189530071075933879191469783936e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.169
y[1] (analytic) = 10.878115907290938915686169245142
y[1] (numeric) = 10.878115907290938915686169245108
absolute error = 3.4e-29
relative error = 3.1255412508715658803964455255400e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 10.883131175113571898127702748713
y[1] (numeric) = 10.883131175113571898127702748679
absolute error = 3.4e-29
relative error = 3.1241009092813024859815162879706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.171
y[1] (analytic) = 10.888146442936204880569236252284
y[1] (numeric) = 10.88814644293620488056923625225
absolute error = 3.4e-29
relative error = 3.1226618945833378141777477406246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.172
y[1] (analytic) = 10.893161710758837863010769755855
y[1] (numeric) = 10.893161710758837863010769755821
absolute error = 3.4e-29
relative error = 3.1212242049449476954787708770239e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.173
y[1] (analytic) = 10.898176978581470845452303259426
y[1] (numeric) = 10.898176978581470845452303259392
absolute error = 3.4e-29
relative error = 3.1197878385367815897744548296806e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.174
y[1] (analytic) = 10.903192246404103827893836762997
y[1] (numeric) = 10.903192246404103827893836762963
absolute error = 3.4e-29
relative error = 3.1183527935328548273136570123716e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.175
y[1] (analytic) = 10.908207514226736810335370266567
y[1] (numeric) = 10.908207514226736810335370266534
absolute error = 3.3e-29
relative error = 3.0252449778719955513338253060389e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.176
y[1] (analytic) = 10.913222782049369792776903770138
y[1] (numeric) = 10.913222782049369792776903770105
absolute error = 3.3e-29
relative error = 3.0238546998490764357311902760269e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.177
y[1] (analytic) = 10.918238049872002775218437273709
y[1] (numeric) = 10.918238049872002775218437273676
absolute error = 3.3e-29
relative error = 3.0224656990682546275383877081463e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.178
y[1] (analytic) = 10.92325331769463575765997077728
y[1] (numeric) = 10.923253317694635757659970777247
absolute error = 3.3e-29
relative error = 3.0210779737702434913457621857825e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.179
y[1] (analytic) = 10.928268585517268740101504280851
y[1] (numeric) = 10.928268585517268740101504280818
absolute error = 3.3e-29
relative error = 3.0196915221989859220518907942332e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 10.933283853339901722543037784422
y[1] (numeric) = 10.933283853339901722543037784389
absolute error = 3.3e-29
relative error = 3.0183063426016469376839770828597e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.181
y[1] (analytic) = 10.938299121162534704984571287992
y[1] (numeric) = 10.93829912116253470498457128796
absolute error = 3.2e-29
relative error = 2.9255005413125879200927325705516e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.182
y[1] (analytic) = 10.943314388985167687426104791563
y[1] (numeric) = 10.943314388985167687426104791531
absolute error = 3.2e-29
relative error = 2.9241597986263768348864572577328e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.183
y[1] (analytic) = 10.948329656807800669867638295134
y[1] (numeric) = 10.948329656807800669867638295102
absolute error = 3.2e-29
relative error = 2.9228202842889391908942967184484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.184
y[1] (analytic) = 10.953344924630433652309171798705
y[1] (numeric) = 10.953344924630433652309171798673
absolute error = 3.2e-29
relative error = 2.9214819966129827169057920038336e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.185
y[1] (analytic) = 10.958360192453066634750705302276
y[1] (numeric) = 10.958360192453066634750705302244
absolute error = 3.2e-29
relative error = 2.9201449339143040062802058290035e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.186
y[1] (analytic) = 10.963375460275699617192238805847
y[1] (numeric) = 10.963375460275699617192238805815
absolute error = 3.2e-29
relative error = 2.9188090945117814518400044539673e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.187
y[1] (analytic) = 10.968390728098332599633772309417
y[1] (numeric) = 10.968390728098332599633772309386
absolute error = 3.1e-29
relative error = 2.8263033993296379438927432245594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.188
y[1] (analytic) = 10.973405995920965582075305812988
y[1] (numeric) = 10.973405995920965582075305812957
absolute error = 3.1e-29
relative error = 2.8250116701708949649421523912757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.189
y[1] (analytic) = 10.978421263743598564516839316559
y[1] (numeric) = 10.978421263743598564516839316528
absolute error = 3.1e-29
relative error = 2.8237211212123883888960390279174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 10.98343653156623154695837282013
y[1] (numeric) = 10.983436531566231546958372820099
absolute error = 3.1e-29
relative error = 2.8224317508374055631476846721968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.191
y[1] (analytic) = 10.988451799388864529399906323701
y[1] (numeric) = 10.98845179938886452939990632367
absolute error = 3.1e-29
relative error = 2.8211435574321853871718071346924e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.192
y[1] (analytic) = 10.993467067211497511841439827272
y[1] (numeric) = 10.993467067211497511841439827241
absolute error = 3.1e-29
relative error = 2.8198565393859115799696302153790e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.193
y[1] (analytic) = 10.998482335034130494282973330842
y[1] (numeric) = 10.998482335034130494282973330812
absolute error = 3.0e-29
relative error = 2.7276490597651993218716867888051e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.194
y[1] (analytic) = 11.003497602856763476724506834413
y[1] (numeric) = 11.003497602856763476724506834383
absolute error = 3.0e-29
relative error = 2.7264058286531823668480442697582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.195
y[1] (analytic) = 11.008512870679396459166040337984
y[1] (numeric) = 11.008512870679396459166040337954
absolute error = 3.0e-29
relative error = 2.7251637303257777279565417438950e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.196
y[1] (analytic) = 11.013528138502029441607573841555
y[1] (numeric) = 11.013528138502029441607573841525
absolute error = 3.0e-29
relative error = 2.7239227632354654430166708232465e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.197
y[1] (analytic) = 11.018543406324662424049107345126
y[1] (numeric) = 11.018543406324662424049107345096
absolute error = 3.0e-29
relative error = 2.7226829258375430645719659207325e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.198
y[1] (analytic) = 11.023558674147295406490640848697
y[1] (numeric) = 11.023558674147295406490640848667
absolute error = 3.0e-29
relative error = 2.7214442165901192506208412774564e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.199
y[1] (analytic) = 11.028573941969928388932174352267
y[1] (numeric) = 11.028573941969928388932174352238
absolute error = 2.9e-29
relative error = 2.6295330794889704604073619024957e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 11.033589209792561371373707855838
y[1] (numeric) = 11.033589209792561371373707855809
absolute error = 2.9e-29
relative error = 2.6283378371801118374708131016309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.201
y[1] (analytic) = 11.038604477615194353815241359409
y[1] (numeric) = 11.03860447761519435381524135938
absolute error = 2.9e-29
relative error = 2.6271436809614929770267100516074e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.202
y[1] (analytic) = 11.04361974543782733625677486298
y[1] (numeric) = 11.043619745437827336256774862951
absolute error = 2.9e-29
relative error = 2.6259506093534269039217932895494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.203
y[1] (analytic) = 11.048635013260460318698308366551
y[1] (numeric) = 11.048635013260460318698308366522
absolute error = 2.9e-29
relative error = 2.6247586208789133193081202104347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.204
y[1] (analytic) = 11.053650281083093301139841870122
y[1] (numeric) = 11.053650281083093301139841870093
absolute error = 2.9e-29
relative error = 2.6235677140636325056423724244953e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.205
y[1] (analytic) = 11.058665548905726283581375373692
y[1] (numeric) = 11.058665548905726283581375373664
absolute error = 2.8e-29
relative error = 2.5319510637312516879850197366560e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.206
y[1] (analytic) = 11.063680816728359266022908877263
y[1] (numeric) = 11.063680816728359266022908877235
absolute error = 2.8e-29
relative error = 2.5308033071293789537656248954335e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=141.1MB, alloc=4.0MB, time=8.85
TOP MAIN SOLVE Loop
x[1] = 2.207
y[1] (analytic) = 11.068696084550992248464442380834
y[1] (numeric) = 11.068696084550992248464442380806
absolute error = 2.8e-29
relative error = 2.5296565906331717136415806612262e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.208
y[1] (analytic) = 11.073711352373625230905975884405
y[1] (numeric) = 11.073711352373625230905975884377
absolute error = 2.8e-29
relative error = 2.5285109128294429221046053076658e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.209
y[1] (analytic) = 11.078726620196258213347509387976
y[1] (numeric) = 11.078726620196258213347509387948
absolute error = 2.8e-29
relative error = 2.5273662723075644961552596284862e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 11.083741888018891195789042891547
y[1] (numeric) = 11.083741888018891195789042891519
absolute error = 2.8e-29
relative error = 2.5262226676594615257950083797855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.211
y[1] (analytic) = 11.088757155841524178230576395118
y[1] (numeric) = 11.08875715584152417823057639509
absolute error = 2.8e-29
relative error = 2.5250800974796065002292937672211e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.212
y[1] (analytic) = 11.093772423664157160672109898688
y[1] (numeric) = 11.093772423664157160672109898661
absolute error = 2.7e-29
relative error = 2.4337978974948344943843346361052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.213
y[1] (analytic) = 11.098787691486790143113643402259
y[1] (numeric) = 11.098787691486790143113643402232
absolute error = 2.7e-29
relative error = 2.4326981243825458208667637664097e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.214
y[1] (analytic) = 11.10380295930942312555517690583
y[1] (numeric) = 11.103802959309423125555176905803
absolute error = 2.7e-29
relative error = 2.4315993447419032979124427348981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.215
y[1] (analytic) = 11.108818227132056107996710409401
y[1] (numeric) = 11.108818227132056107996710409374
absolute error = 2.7e-29
relative error = 2.4305015572273471338953265079298e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.216
y[1] (analytic) = 11.113833494954689090438243912972
y[1] (numeric) = 11.113833494954689090438243912945
absolute error = 2.7e-29
relative error = 2.4294047604957463454775037071590e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.217
y[1] (analytic) = 11.118848762777322072879777416543
y[1] (numeric) = 11.118848762777322072879777416516
absolute error = 2.7e-29
relative error = 2.4283089532063932799179739355274e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.218
y[1] (analytic) = 11.123864030599955055321310920113
y[1] (numeric) = 11.123864030599955055321310920087
absolute error = 2.6e-29
relative error = 2.3373173142424426650808511770978e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.219
y[1] (analytic) = 11.128879298422588037762844423684
y[1] (numeric) = 11.128879298422588037762844423658
absolute error = 2.6e-29
relative error = 2.3362639941368805007432753090595e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 11.133894566245221020204377927255
y[1] (numeric) = 11.133894566245221020204377927229
absolute error = 2.6e-29
relative error = 2.3352116229683503743915891490103e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.221
y[1] (analytic) = 11.138909834067854002645911430826
y[1] (numeric) = 11.1389098340678540026459114308
absolute error = 2.6e-29
relative error = 2.3341601994550823192928086045938e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.222
y[1] (analytic) = 11.143925101890486985087444934397
y[1] (numeric) = 11.143925101890486985087444934371
absolute error = 2.6e-29
relative error = 2.3331097223176137853957371335746e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.223
y[1] (analytic) = 11.148940369713119967528978437968
y[1] (numeric) = 11.148940369713119967528978437942
absolute error = 2.6e-29
relative error = 2.3320601902787844494598865995513e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.224
y[1] (analytic) = 11.153955637535752949970511941538
y[1] (numeric) = 11.153955637535752949970511941513
absolute error = 2.5e-29
relative error = 2.2413573096766644607556239238046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.225
y[1] (analytic) = 11.158970905358385932412045445109
y[1] (numeric) = 11.158970905358385932412045445084
absolute error = 2.5e-29
relative error = 2.2403499580768097800991045422657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.226
y[1] (analytic) = 11.16398617318101891485357894868
y[1] (numeric) = 11.163986173181018914853578948655
absolute error = 2.5e-29
relative error = 2.2393435115547626957414679274668e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.227
y[1] (analytic) = 11.169001441003651897295112452251
y[1] (numeric) = 11.169001441003651897295112452226
absolute error = 2.5e-29
relative error = 2.2383379688912895198565368686759e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.228
y[1] (analytic) = 11.174016708826284879736645955822
y[1] (numeric) = 11.174016708826284879736645955797
absolute error = 2.5e-29
relative error = 2.2373333288693454940397251375858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.229
y[1] (analytic) = 11.179031976648917862178179459393
y[1] (numeric) = 11.179031976648917862178179459368
absolute error = 2.5e-29
relative error = 2.2363295902740698791926907162589e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 11.184047244471550844619712962963
y[1] (numeric) = 11.184047244471550844619712962939
absolute error = 2.4e-29
relative error = 2.1459136818170698162742992386905e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.231
y[1] (analytic) = 11.189062512294183827061246466534
y[1] (numeric) = 11.18906251229418382706124646651
absolute error = 2.4e-29
relative error = 2.1449518200143727881181924259434e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.232
y[1] (analytic) = 11.194077780116816809502779970105
y[1] (numeric) = 11.194077780116816809502779970081
absolute error = 2.4e-29
relative error = 2.1439908200950115099873150995876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.233
y[1] (analytic) = 11.199093047939449791944313473676
y[1] (numeric) = 11.199093047939449791944313473652
absolute error = 2.4e-29
relative error = 2.1430306809010594224324618460723e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.234
y[1] (analytic) = 11.204108315762082774385846977247
y[1] (numeric) = 11.204108315762082774385846977223
absolute error = 2.4e-29
relative error = 2.1420714012766632454304777539299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.235
y[1] (analytic) = 11.209123583584715756827380480818
y[1] (numeric) = 11.209123583584715756827380480794
absolute error = 2.4e-29
relative error = 2.1411129800680383401752515893867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.236
y[1] (analytic) = 11.214138851407348739268913984388
y[1] (numeric) = 11.214138851407348739268913984365
absolute error = 2.3e-29
relative error = 2.0509822737849864131765952585054e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.237
y[1] (analytic) = 11.219154119229981721710447487959
y[1] (numeric) = 11.219154119229981721710447487936
absolute error = 2.3e-29
relative error = 2.0500654287810592846950679472588e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.238
y[1] (analytic) = 11.22416938705261470415198099153
y[1] (numeric) = 11.224169387052614704151980991507
absolute error = 2.3e-29
relative error = 2.0491494031202992045857314557721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.239
y[1] (analytic) = 11.229184654875247686593514495101
y[1] (numeric) = 11.229184654875247686593514495078
absolute error = 2.3e-29
relative error = 2.0482341957048814738110169709772e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.24
y[1] (analytic) = 11.234199922697880669035047998672
y[1] (numeric) = 11.234199922697880669035047998649
absolute error = 2.3e-29
relative error = 2.0473198054389417945816370526865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.241
y[1] (analytic) = 11.239215190520513651476581502243
y[1] (numeric) = 11.23921519052051365147658150222
absolute error = 2.3e-29
relative error = 2.0464062312285718964135952690842e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.242
y[1] (analytic) = 11.244230458343146633918115005813
y[1] (numeric) = 11.244230458343146633918115005791
absolute error = 2.2e-29
relative error = 1.9565589731999971228519387572509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.243
y[1] (analytic) = 11.249245726165779616359648509384
y[1] (numeric) = 11.249245726165779616359648509362
absolute error = 2.2e-29
relative error = 1.9556866776256770171351077546841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.244
y[1] (analytic) = 11.254260993988412598801182012955
y[1] (numeric) = 11.254260993988412598801182012933
absolute error = 2.2e-29
relative error = 1.9548151594983928473413755319770e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.245
y[1] (analytic) = 11.259276261811045581242715516526
y[1] (numeric) = 11.259276261811045581242715516504
absolute error = 2.2e-29
relative error = 1.9539444177792398883893303758380e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.246
y[1] (analytic) = 11.264291529633678563684249020097
y[1] (numeric) = 11.264291529633678563684249020075
absolute error = 2.2e-29
relative error = 1.9530744514311636462306530248246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.247
y[1] (analytic) = 11.269306797456311546125782523668
y[1] (numeric) = 11.269306797456311546125782523646
absolute error = 2.2e-29
relative error = 1.9522052594189557407361133483561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.248
y[1] (analytic) = 11.274322065278944528567316027238
y[1] (numeric) = 11.274322065278944528567316027217
absolute error = 2.1e-29
relative error = 1.8626397115861020814080188565368e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.249
y[1] (analytic) = 11.279337333101577511008849530809
y[1] (numeric) = 11.279337333101577511008849530788
absolute error = 2.1e-29
relative error = 1.8618115036218574828836044417495e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 11.28435260092421049345038303438
y[1] (numeric) = 11.284352600924210493450383034359
absolute error = 2.1e-29
relative error = 1.8609840318424699906689895064421e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.251
y[1] (analytic) = 11.289367868746843475891916537951
y[1] (numeric) = 11.28936786874684347589191653793
absolute error = 2.1e-29
relative error = 1.8601572952667958591760223853819e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.252
y[1] (analytic) = 11.294383136569476458333450041522
y[1] (numeric) = 11.294383136569476458333450041501
absolute error = 2.1e-29
relative error = 1.8593312929154340492918412031503e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.253
y[1] (analytic) = 11.299398404392109440774983545093
y[1] (numeric) = 11.299398404392109440774983545072
absolute error = 2.1e-29
relative error = 1.8585060238107223608545168173522e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.254
y[1] (analytic) = 11.304413672214742423216517048663
y[1] (numeric) = 11.304413672214742423216517048643
absolute error = 2.0e-29
relative error = 1.7692204637873653099274206234397e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.255
y[1] (analytic) = 11.309428940037375405658050552234
y[1] (numeric) = 11.309428940037375405658050552214
absolute error = 2.0e-29
relative error = 1.7684358870850205802999583526532e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.256
y[1] (analytic) = 11.314444207860008388099584055805
y[1] (numeric) = 11.314444207860008388099584055785
absolute error = 2.0e-29
relative error = 1.7676520059293977874895417044472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.257
y[1] (analytic) = 11.319459475682641370541117559376
y[1] (numeric) = 11.319459475682641370541117559356
absolute error = 2.0e-29
relative error = 1.7668688193959775846594621556194e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.258
y[1] (analytic) = 11.324474743505274352982651062947
y[1] (numeric) = 11.324474743505274352982651062927
absolute error = 2.0e-29
relative error = 1.7660863265618783917521727569676e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.259
y[1] (analytic) = 11.329490011327907335424184566518
y[1] (numeric) = 11.329490011327907335424184566498
absolute error = 2.0e-29
relative error = 1.7653045265058527705074838801385e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 11.334505279150540317865718070088
y[1] (numeric) = 11.334505279150540317865718070069
absolute error = 1.9e-29
relative error = 1.6762972473928696186493742393679e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.261
y[1] (analytic) = 11.339520546973173300307251573659
y[1] (numeric) = 11.33952054697317330030725157364
absolute error = 1.9e-29
relative error = 1.6755558509986224405783218845517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.262
y[1] (analytic) = 11.34453581479580628274878507723
y[1] (numeric) = 11.344535814795806282748785077211
absolute error = 1.9e-29
relative error = 1.6748151101272702644330617953012e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.263
y[1] (analytic) = 11.349551082618439265190318580801
y[1] (numeric) = 11.349551082618439265190318580782
absolute error = 1.9e-29
relative error = 1.6740750239098035077983145298150e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.264
y[1] (analytic) = 11.354566350441072247631852084372
y[1] (numeric) = 11.354566350441072247631852084353
memory used=144.9MB, alloc=4.0MB, time=9.09
absolute error = 1.9e-29
relative error = 1.6733355914787479408779089138566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.265
y[1] (analytic) = 11.359581618263705230073385587943
y[1] (numeric) = 11.359581618263705230073385587924
absolute error = 1.9e-29
relative error = 1.6725968119681612971954021108041e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.266
y[1] (analytic) = 11.364596886086338212514919091513
y[1] (numeric) = 11.364596886086338212514919091495
absolute error = 1.8e-29
relative error = 1.5838661221708072673074869711870e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.267
y[1] (analytic) = 11.369612153908971194956452595084
y[1] (numeric) = 11.369612153908971194956452595066
absolute error = 1.8e-29
relative error = 1.5831674604495144542208934612747e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.268
y[1] (analytic) = 11.374627421731604177397986098655
y[1] (numeric) = 11.374627421731604177397986098637
absolute error = 1.8e-29
relative error = 1.5824694148320323049906373354099e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.269
y[1] (analytic) = 11.379642689554237159839519602226
y[1] (numeric) = 11.379642689554237159839519602208
absolute error = 1.8e-29
relative error = 1.5817719845037678570818710783207e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 11.384657957376870142281053105797
y[1] (numeric) = 11.384657957376870142281053105779
absolute error = 1.8e-29
relative error = 1.5810751686515635540611301659514e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.271
y[1] (analytic) = 11.389673225199503124722586609368
y[1] (numeric) = 11.38967322519950312472258660935
absolute error = 1.8e-29
relative error = 1.5803789664636940853010856348347e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.272
y[1] (analytic) = 11.394688493022136107164120112938
y[1] (numeric) = 11.394688493022136107164120112921
absolute error = 1.7e-29
relative error = 1.4919231895115374988071941780142e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.273
y[1] (analytic) = 11.399703760844769089605653616509
y[1] (numeric) = 11.399703760844769089605653616492
absolute error = 1.7e-29
relative error = 1.4912668220722451373910889452037e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.274
y[1] (analytic) = 11.40471902866740207204718712008
y[1] (numeric) = 11.404719028667402072047187120063
absolute error = 1.7e-29
relative error = 1.4906110319130225141996240863888e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.275
y[1] (analytic) = 11.409734296490035054488720623651
y[1] (numeric) = 11.409734296490035054488720623634
absolute error = 1.7e-29
relative error = 1.4899558182726211856219539219552e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.276
y[1] (analytic) = 11.414749564312668036930254127222
y[1] (numeric) = 11.414749564312668036930254127205
absolute error = 1.7e-29
relative error = 1.4893011803911305787741411126748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.277
y[1] (analytic) = 11.419764832135301019371787630793
y[1] (numeric) = 11.419764832135301019371787630776
absolute error = 1.7e-29
relative error = 1.4886471175099750537066074538638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.278
y[1] (analytic) = 11.424780099957934001813321134363
y[1] (numeric) = 11.424780099957934001813321134347
absolute error = 1.6e-29
relative error = 1.4004645918794456219759108288791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.279
y[1] (analytic) = 11.429795367780566984254854637934
y[1] (numeric) = 11.429795367780566984254854637918
absolute error = 1.6e-29
relative error = 1.3998500835021400293379222765188e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 11.434810635603199966696388141505
y[1] (numeric) = 11.434810635603199966696388141489
absolute error = 1.6e-29
relative error = 1.3992361141672706696759319597309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.281
y[1] (analytic) = 11.439825903425832949137921645076
y[1] (numeric) = 11.43982590342583294913792164506
absolute error = 1.6e-29
relative error = 1.3986226831658821248843160316468e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.282
y[1] (analytic) = 11.444841171248465931579455148647
y[1] (numeric) = 11.444841171248465931579455148631
absolute error = 1.6e-29
relative error = 1.3980097897902616682125875846566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.283
y[1] (analytic) = 11.449856439071098914020988652218
y[1] (numeric) = 11.449856439071098914020988652202
absolute error = 1.6e-29
relative error = 1.3973974333339365426461344144487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.284
y[1] (analytic) = 11.454871706893731896462522155789
y[1] (numeric) = 11.454871706893731896462522155773
absolute error = 1.6e-29
relative error = 1.3967856130916712464365695569992e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.285
y[1] (analytic) = 11.459886974716364878904055659359
y[1] (numeric) = 11.459886974716364878904055659344
absolute error = 1.5e-29
relative error = 1.3089134328369982741498050607986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.286
y[1] (analytic) = 11.46490224253899786134558916293
y[1] (numeric) = 11.464902242538997861345589162915
absolute error = 1.5e-29
relative error = 1.3083408547823889135749363796696e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.287
y[1] (analytic) = 11.469917510361630843787122666501
y[1] (numeric) = 11.469917510361630843787122666486
absolute error = 1.5e-29
relative error = 1.3077687774519200071850916326737e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.288
y[1] (analytic) = 11.474932778184263826228656170072
y[1] (numeric) = 11.474932778184263826228656170057
absolute error = 1.5e-29
relative error = 1.3071972001890476645246086380790e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.289
y[1] (analytic) = 11.479948046006896808670189673643
y[1] (numeric) = 11.479948046006896808670189673628
absolute error = 1.5e-29
relative error = 1.3066261223383752976986913778614e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 11.484963313829529791111723177214
y[1] (numeric) = 11.484963313829529791111723177199
absolute error = 1.5e-29
relative error = 1.3060555432456511163459845257313e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.291
y[1] (analytic) = 11.489978581652162773553256680784
y[1] (numeric) = 11.48997858165216277355325668077
absolute error = 1.4e-29
relative error = 1.2184530981072479205602288344230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.292
y[1] (analytic) = 11.494993849474795755994790184355
y[1] (numeric) = 11.494993849474795755994790184341
absolute error = 1.4e-29
relative error = 1.2179214868078992085530036036925e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.293
y[1] (analytic) = 11.500009117297428738436323687926
y[1] (numeric) = 11.500009117297428738436323687912
absolute error = 1.4e-29
relative error = 1.2173903391904513676421649627837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.294
y[1] (analytic) = 11.505024385120061720877857191497
y[1] (numeric) = 11.505024385120061720877857191483
absolute error = 1.4e-29
relative error = 1.2168596546485200462090166781443e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.295
y[1] (analytic) = 11.510039652942694703319390695068
y[1] (numeric) = 11.510039652942694703319390695054
absolute error = 1.4e-29
relative error = 1.2163294325767777716790781087856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.296
y[1] (analytic) = 11.515054920765327685760924198639
y[1] (numeric) = 11.515054920765327685760924198625
absolute error = 1.4e-29
relative error = 1.2157996723709516489562213674490e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.297
y[1] (analytic) = 11.520070188587960668202457702209
y[1] (numeric) = 11.520070188587960668202457702196
absolute error = 1.3e-29
relative error = 1.1284653467544052745209682000007e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.298
y[1] (analytic) = 11.52508545641059365064399120578
y[1] (numeric) = 11.525085456410593650643991205767
absolute error = 1.3e-29
relative error = 1.1279742826348428701369294845089e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.299
y[1] (analytic) = 11.530100724233226633085524709351
y[1] (numeric) = 11.530100724233226633085524709338
absolute error = 1.3e-29
relative error = 1.1274836457132966139950691411054e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 11.535115992055859615527058212922
y[1] (numeric) = 11.535115992055859615527058212909
absolute error = 1.3e-29
relative error = 1.1269934354325517024237669371310e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.301
y[1] (analytic) = 11.540131259878492597968591716493
y[1] (numeric) = 11.54013125987849259796859171648
absolute error = 1.3e-29
relative error = 1.1265036512363619798238435269019e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.302
y[1] (analytic) = 11.545146527701125580410125220064
y[1] (numeric) = 11.545146527701125580410125220051
absolute error = 1.3e-29
relative error = 1.1260142925694478347413831257173e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.303
y[1] (analytic) = 11.550161795523758562851658723634
y[1] (numeric) = 11.550161795523758562851658723622
absolute error = 1.2e-29
relative error = 1.0389464851176868628509959405731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.304
y[1] (analytic) = 11.555177063346391545293192227205
y[1] (numeric) = 11.555177063346391545293192227193
absolute error = 1.2e-29
relative error = 1.0384955534835212001501057513628e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.305
y[1] (analytic) = 11.560192331169024527734725730776
y[1] (numeric) = 11.560192331169024527734725730764
absolute error = 1.2e-29
relative error = 1.0380450131132463536424484386724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.306
y[1] (analytic) = 11.565207598991657510176259234347
y[1] (numeric) = 11.565207598991657510176259234335
absolute error = 1.2e-29
relative error = 1.0375948634978459866200536214830e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.307
y[1] (analytic) = 11.570222866814290492617792737918
y[1] (numeric) = 11.570222866814290492617792737906
absolute error = 1.2e-29
relative error = 1.0371451041291863221265035332205e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.308
y[1] (analytic) = 11.575238134636923475059326241489
y[1] (numeric) = 11.575238134636923475059326241477
absolute error = 1.2e-29
relative error = 1.0366957345000142309990657067330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.309
y[1] (analytic) = 11.580253402459556457500859745059
y[1] (numeric) = 11.580253402459556457500859745048
absolute error = 1.1e-29
relative error = 9.4989285792862571447250902853105e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 11.58526867028218943994239324863
y[1] (numeric) = 11.585268670282189439942393248619
absolute error = 1.1e-29
relative error = 9.4948164889921938299438240124596e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.311
y[1] (analytic) = 11.590283938104822422383926752201
y[1] (numeric) = 11.59028393810482242238392675219
absolute error = 1.1e-29
relative error = 9.4907079574088999338685562391957e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.312
y[1] (analytic) = 11.595299205927455404825460255772
y[1] (numeric) = 11.595299205927455404825460255761
absolute error = 1.1e-29
relative error = 9.4866029799186711709213812581233e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.313
y[1] (analytic) = 11.600314473750088387266993759343
y[1] (numeric) = 11.600314473750088387266993759332
absolute error = 1.1e-29
relative error = 9.4825015519117889092824182744404e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.314
y[1] (analytic) = 11.605329741572721369708527262914
y[1] (numeric) = 11.605329741572721369708527262903
absolute error = 1.1e-29
relative error = 9.4784036687865029158039038326622e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.315
y[1] (analytic) = 11.610345009395354352150060766484
y[1] (numeric) = 11.610345009395354352150060766474
absolute error = 1.0e-29
relative error = 8.6130084781354674051326265339808e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.316
y[1] (analytic) = 11.615360277217987334591594270055
y[1] (numeric) = 11.615360277217987334591594270045
absolute error = 1.0e-29
relative error = 8.6092895625576887059076124465307e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.317
y[1] (analytic) = 11.620375545040620317033127773626
y[1] (numeric) = 11.620375545040620317033127773616
absolute error = 1.0e-29
relative error = 8.6055738570926228065956108874255e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.318
y[1] (analytic) = 11.625390812863253299474661277197
y[1] (numeric) = 11.625390812863253299474661277187
absolute error = 1.0e-29
relative error = 8.6018613575856803463684341786733e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.319
y[1] (analytic) = 11.630406080685886281916194780768
y[1] (numeric) = 11.630406080685886281916194780758
absolute error = 1.0e-29
relative error = 8.5981520598894381383708626244779e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 11.635421348508519264357728284339
y[1] (numeric) = 11.635421348508519264357728284329
absolute error = 1.0e-29
relative error = 8.5944459598636237253801855285190e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.321
y[1] (analytic) = 11.640436616331152246799261787909
y[1] (numeric) = 11.6404366163311522467992617879
absolute error = 9e-30
relative error = 7.7316687480375899778517136508182e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=148.7MB, alloc=4.0MB, time=9.34
x[1] = 2.322
y[1] (analytic) = 11.64545188415378522924079529148
y[1] (numeric) = 11.645451884153785229240795291471
absolute error = 9e-30
relative error = 7.7283390026680647453031125682811e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.323
y[1] (analytic) = 11.650467151976418211682328795051
y[1] (numeric) = 11.650467151976418211682328795042
absolute error = 9e-30
relative error = 7.7250121240616643730494306429395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.324
y[1] (analytic) = 11.655482419799051194123862298622
y[1] (numeric) = 11.655482419799051194123862298613
absolute error = 9e-30
relative error = 7.7216881085177479942314231426627e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.325
y[1] (analytic) = 11.660497687621684176565395802193
y[1] (numeric) = 11.660497687621684176565395802184
absolute error = 9e-30
relative error = 7.7183669523420414359543343585152e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.326
y[1] (analytic) = 11.665512955444317159006929305764
y[1] (numeric) = 11.665512955444317159006929305755
absolute error = 9e-30
relative error = 7.7150486518466235333593410935287e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.327
y[1] (analytic) = 11.670528223266950141448462809334
y[1] (numeric) = 11.670528223266950141448462809326
absolute error = 8e-30
relative error = 6.8548739585332555368739253721239e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.328
y[1] (analytic) = 11.675543491089583123889996312905
y[1] (numeric) = 11.675543491089583123889996312897
absolute error = 8e-30
relative error = 6.8519294250459130731553369162080e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.329
y[1] (analytic) = 11.680558758912216106331529816476
y[1] (numeric) = 11.680558758912216106331529816468
absolute error = 8e-30
relative error = 6.8489874201403545016340164624010e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 11.685574026734849088773063320047
y[1] (numeric) = 11.685574026734849088773063320039
absolute error = 8e-30
relative error = 6.8460479405608951220195812622025e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.331
y[1] (analytic) = 11.690589294557482071214596823618
y[1] (numeric) = 11.69058929455748207121459682361
absolute error = 8e-30
relative error = 6.8431109830574369945541073963670e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.332
y[1] (analytic) = 11.695604562380115053656130327189
y[1] (numeric) = 11.695604562380115053656130327181
absolute error = 8e-30
relative error = 6.8401765443854569615375747602621e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.333
y[1] (analytic) = 11.700619830202748036097663830759
y[1] (numeric) = 11.700619830202748036097663830752
absolute error = 7e-30
relative error = 5.9825890436427453622020665659305e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.334
y[1] (analytic) = 11.70563509802538101853919733433
y[1] (numeric) = 11.705635098025381018539197334323
absolute error = 7e-30
relative error = 5.9800258092624357026638480284129e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.335
y[1] (analytic) = 11.710650365848014000980730837901
y[1] (numeric) = 11.710650365848014000980730837894
absolute error = 7e-30
relative error = 5.9774647703719592848040348172657e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.336
y[1] (analytic) = 11.715665633670646983422264341472
y[1] (numeric) = 11.715665633670646983422264341465
absolute error = 7e-30
relative error = 5.9749059241517658090828002133199e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.337
y[1] (analytic) = 11.720680901493279965863797845043
y[1] (numeric) = 11.720680901493279965863797845036
absolute error = 7e-30
relative error = 5.9723492677871309071533681208023e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.338
y[1] (analytic) = 11.725696169315912948305331348614
y[1] (numeric) = 11.725696169315912948305331348607
absolute error = 7e-30
relative error = 5.9697947984681458212221647982527e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.339
y[1] (analytic) = 11.730711437138545930746864852184
y[1] (numeric) = 11.730711437138545930746864852178
absolute error = 6e-30
relative error = 5.1147792971911775227572544915346e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 11.735726704961178913188398355755
y[1] (numeric) = 11.735726704961178913188398355749
absolute error = 6e-30
relative error = 5.1125934940727197545851360067090e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.341
y[1] (analytic) = 11.740741972783811895629931859326
y[1] (numeric) = 11.74074197278381189562993185932
absolute error = 6e-30
relative error = 5.1104095583640171831393499597176e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.342
y[1] (analytic) = 11.745757240606444878071465362897
y[1] (numeric) = 11.745757240606444878071465362891
absolute error = 6e-30
relative error = 5.1082274876729992424121341826212e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.343
y[1] (analytic) = 11.750772508429077860512998866468
y[1] (numeric) = 11.750772508429077860512998866462
absolute error = 6e-30
relative error = 5.1060472796116791403026966520267e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.344
y[1] (analytic) = 11.755787776251710842954532370039
y[1] (numeric) = 11.755787776251710842954532370033
absolute error = 6e-30
relative error = 5.1038689317961451474954002797348e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.345
y[1] (analytic) = 11.760803044074343825396065873609
y[1] (numeric) = 11.760803044074343825396065873604
absolute error = 5e-30
relative error = 4.2514103682054599238554435876686e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.346
y[1] (analytic) = 11.76581831189697680783759937718
y[1] (numeric) = 11.765818311896976807837599377175
absolute error = 5e-30
relative error = 4.2495981728225931463942946347326e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.347
y[1] (analytic) = 11.770833579719609790279132880751
y[1] (numeric) = 11.770833579719609790279132880746
absolute error = 5e-30
relative error = 4.2477875217050718029147913136270e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.348
y[1] (analytic) = 11.775848847542242772720666384322
y[1] (numeric) = 11.775848847542242772720666384317
absolute error = 5e-30
relative error = 4.2459784128798141062355260703077e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.349
y[1] (analytic) = 11.780864115364875755162199887893
y[1] (numeric) = 11.780864115364875755162199887888
absolute error = 5e-30
relative error = 4.2441708443770981359902150758119e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 11.785879383187508737603733391464
y[1] (numeric) = 11.785879383187508737603733391459
absolute error = 5e-30
relative error = 4.2423648142305546899749000906732e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.351
y[1] (analytic) = 11.790894651010141720045266895034
y[1] (numeric) = 11.79089465101014172004526689503
absolute error = 4e-30
relative error = 3.3924482563817281229914130882460e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.352
y[1] (analytic) = 11.795909918832774702486800398605
y[1] (numeric) = 11.795909918832774702486800398601
absolute error = 4e-30
relative error = 3.3910058889257835106942228615927e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.353
y[1] (analytic) = 11.800925186655407684928333902176
y[1] (numeric) = 11.800925186655407684928333902172
absolute error = 4e-30
relative error = 3.3895647474515269091172172420170e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.354
y[1] (analytic) = 11.805940454478040667369867405747
y[1] (numeric) = 11.805940454478040667369867405743
absolute error = 4e-30
relative error = 3.3881248303965347566494529186346e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.355
y[1] (analytic) = 11.810955722300673649811400909318
y[1] (numeric) = 11.810955722300673649811400909314
absolute error = 4e-30
relative error = 3.3866861362010372896614913675014e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.356
y[1] (analytic) = 11.815970990123306632252934412889
y[1] (numeric) = 11.815970990123306632252934412885
absolute error = 4e-30
relative error = 3.3852486633079129105062869993488e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.357
y[1] (analytic) = 11.82098625794593961469446791646
y[1] (numeric) = 11.820986257945939614694467916456
absolute error = 4e-30
relative error = 3.3838124101626825698569419475883e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.358
y[1] (analytic) = 11.82600152576857259713600142003
y[1] (numeric) = 11.826001525768572597136001420027
absolute error = 3e-30
relative error = 2.5367830314101281225040751178327e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.359
y[1] (analytic) = 11.831016793591205579577534923601
y[1] (numeric) = 11.831016793591205579577534923598
absolute error = 3e-30
relative error = 2.5357076676833752068099233267696e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 11.836032061413838562019068427172
y[1] (numeric) = 11.836032061413838562019068427169
absolute error = 3e-30
relative error = 2.5346332152818144546036479355294e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.361
y[1] (analytic) = 11.841047329236471544460601930743
y[1] (numeric) = 11.84104732923647154446060193074
absolute error = 3e-30
relative error = 2.5335596730474723053217319474161e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.362
y[1] (analytic) = 11.846062597059104526902135434314
y[1] (numeric) = 11.846062597059104526902135434311
absolute error = 3e-30
relative error = 2.5324870398243362035836617814773e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.363
y[1] (analytic) = 11.851077864881737509343668937885
y[1] (numeric) = 11.851077864881737509343668937882
absolute error = 3e-30
relative error = 2.5314153144583504497945870198261e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.364
y[1] (analytic) = 11.856093132704370491785202441455
y[1] (numeric) = 11.856093132704370491785202441453
absolute error = 2e-30
relative error = 1.6868963305316080408529636570360e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.365
y[1] (analytic) = 11.861108400527003474226735945026
y[1] (numeric) = 11.861108400527003474226735945024
absolute error = 2e-30
relative error = 1.6861830551275777626115881967159e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.366
y[1] (analytic) = 11.866123668349636456668269448597
y[1] (numeric) = 11.866123668349636456668269448595
absolute error = 2e-30
relative error = 1.6854703826613361828302646175963e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.367
y[1] (analytic) = 11.871138936172269439109802952168
y[1] (numeric) = 11.871138936172269439109802952166
absolute error = 2e-30
relative error = 1.6847583123687035946668382278128e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.368
y[1] (analytic) = 11.876154203994902421551336455739
y[1] (numeric) = 11.876154203994902421551336455737
absolute error = 2e-30
relative error = 1.6840468434867911353785498670747e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.369
y[1] (analytic) = 11.88116947181753540399286995931
y[1] (numeric) = 11.881169471817535403992869959308
absolute error = 2e-30
relative error = 1.6833359752539980618726914669619e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 11.88618473964016838643440346288
y[1] (numeric) = 11.886184739640168386434403462879
absolute error = 1e-30
relative error = 8.4131285345500451657730086186352e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.371
y[1] (analytic) = 11.891200007462801368875936966451
y[1] (numeric) = 11.89120000746280136887593696645
absolute error = 1e-30
relative error = 8.4095801884789569982631929254176e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.372
y[1] (analytic) = 11.896215275285434351317470470022
y[1] (numeric) = 11.896215275285434351317470470021
absolute error = 1e-30
relative error = 8.4060348342679624969991696568992e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.373
y[1] (analytic) = 11.901230543108067333759003973593
y[1] (numeric) = 11.901230543108067333759003973592
absolute error = 1e-30
relative error = 8.4024924681346848052600212499640e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.374
y[1] (analytic) = 11.906245810930700316200537477164
y[1] (numeric) = 11.906245810930700316200537477163
absolute error = 1e-30
relative error = 8.3989530863031200686107963041972e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.375
y[1] (analytic) = 11.911261078753333298642070980735
y[1] (numeric) = 11.911261078753333298642070980734
absolute error = 1e-30
relative error = 8.3954166850036240180555917583848e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.376
y[1] (analytic) = 11.916276346575966281083604484305
y[1] (numeric) = 11.916276346575966281083604484305
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.377
y[1] (analytic) = 11.921291614398599263525137987876
y[1] (numeric) = 11.921291614398599263525137987876
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.378
y[1] (analytic) = 11.926306882221232245966671491447
y[1] (numeric) = 11.926306882221232245966671491447
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.379
y[1] (analytic) = 11.931322150043865228408204995018
y[1] (numeric) = 11.931322150043865228408204995018
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=152.5MB, alloc=4.0MB, time=9.57
x[1] = 2.38
y[1] (analytic) = 11.936337417866498210849738498589
y[1] (numeric) = 11.936337417866498210849738498589
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.381
y[1] (analytic) = 11.94135268568913119329127200216
y[1] (numeric) = 11.94135268568913119329127200216
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.382
y[1] (analytic) = 11.94636795351176417573280550573
y[1] (numeric) = 11.946367953511764175732805505731
absolute error = 1e-30
relative error = 8.3707450154843018651897692805060e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.383
y[1] (analytic) = 11.951383221334397158174339009301
y[1] (numeric) = 11.951383221334397158174339009302
absolute error = 1e-30
relative error = 8.3672323234929110545035797004470e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.384
y[1] (analytic) = 11.956398489157030140615872512872
y[1] (numeric) = 11.956398489157030140615872512873
absolute error = 1e-30
relative error = 8.3637225783907747663095765210423e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.385
y[1] (analytic) = 11.961413756979663123057406016443
y[1] (numeric) = 11.961413756979663123057406016444
absolute error = 1e-30
relative error = 8.3602157764711140641014802625428e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.386
y[1] (analytic) = 11.966429024802296105498939520014
y[1] (numeric) = 11.966429024802296105498939520015
absolute error = 1e-30
relative error = 8.3567119140333642258516472867411e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.387
y[1] (analytic) = 11.971444292624929087940473023585
y[1] (numeric) = 11.971444292624929087940473023586
absolute error = 1e-30
relative error = 8.3532109873831617272233055828086e-30 %
Correct digits = 31
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.388
y[1] (analytic) = 11.976459560447562070382006527155
y[1] (numeric) = 11.976459560447562070382006527157
absolute error = 2e-30
relative error = 1.6699425985664662514976574896286e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.389
y[1] (analytic) = 11.981474828270195052823540030726
y[1] (numeric) = 11.981474828270195052823540030728
absolute error = 2e-30
relative error = 1.6692435853397745536108857619226e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 11.986490096092828035265073534297
y[1] (numeric) = 11.986490096092828035265073534299
absolute error = 2e-30
relative error = 1.6685451570613897107014251402648e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.391
y[1] (analytic) = 11.991505363915461017706607037868
y[1] (numeric) = 11.99150536391546101770660703787
absolute error = 2e-30
relative error = 1.6678473129973740730139715956641e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.392
y[1] (analytic) = 11.996520631738094000148140541439
y[1] (numeric) = 11.996520631738094000148140541441
absolute error = 2e-30
relative error = 1.6671500524150173112777617413181e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.393
y[1] (analytic) = 12.00153589956072698258967404501
y[1] (numeric) = 12.001535899560726982589674045012
absolute error = 2e-30
relative error = 1.6664533745828338523094049666664e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.394
y[1] (analytic) = 12.00655116738335996503120754858
y[1] (numeric) = 12.006551167383359965031207548583
absolute error = 3e-30
relative error = 2.4986359181558404815641642138052e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.395
y[1] (analytic) = 12.011566435205992947472741052151
y[1] (numeric) = 12.011566435205992947472741052154
absolute error = 3e-30
relative error = 2.4975926463737294834507762537994e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.396
y[1] (analytic) = 12.016581703028625929914274555722
y[1] (numeric) = 12.016581703028625929914274555725
absolute error = 3e-30
relative error = 2.4965502454361778434326415391692e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.397
y[1] (analytic) = 12.021596970851258912355808059293
y[1] (numeric) = 12.021596970851258912355808059296
absolute error = 3e-30
relative error = 2.4955087142532674646911177003961e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.398
y[1] (analytic) = 12.026612238673891894797341562864
y[1] (numeric) = 12.026612238673891894797341562867
absolute error = 3e-30
relative error = 2.4944680517368982956065926304626e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.399
y[1] (analytic) = 12.031627506496524877238875066435
y[1] (numeric) = 12.031627506496524877238875066438
absolute error = 3e-30
relative error = 2.4934282568007845405854977606708e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 12.036642774319157859680408570005
y[1] (numeric) = 12.036642774319157859680408570009
absolute error = 4e-30
relative error = 3.3231857711472678404803384043609e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.401
y[1] (analytic) = 12.041658042141790842121942073576
y[1] (numeric) = 12.04165804214179084212194207358
absolute error = 4e-30
relative error = 3.3218016871109716023127081093153e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.402
y[1] (analytic) = 12.046673309964423824563475577147
y[1] (numeric) = 12.046673309964423824563475577151
absolute error = 4e-30
relative error = 3.3204187555176697823283980726336e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.403
y[1] (analytic) = 12.051688577787056807005009080718
y[1] (numeric) = 12.051688577787056807005009080722
absolute error = 4e-30
relative error = 3.3190369749286070816283030255788e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.404
y[1] (analytic) = 12.056703845609689789446542584289
y[1] (numeric) = 12.056703845609689789446542584293
absolute error = 4e-30
relative error = 3.3176563439074221369188070592620e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.405
y[1] (analytic) = 12.06171911343232277188807608786
y[1] (numeric) = 12.061719113432322771888076087864
absolute error = 4e-30
relative error = 3.3162768610201425435146828151624e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.406
y[1] (analytic) = 12.06673438125495575432960959143
y[1] (numeric) = 12.066734381254955754329609591435
absolute error = 5e-30
relative error = 4.1436231560439748634418184593029e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.407
y[1] (analytic) = 12.071749649077588736771143095001
y[1] (numeric) = 12.071749649077588736771143095006
absolute error = 5e-30
relative error = 4.1419016674041560122314147125395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.408
y[1] (analytic) = 12.076764916900221719212676598572
y[1] (numeric) = 12.076764916900221719212676598577
absolute error = 5e-30
relative error = 4.1401816085721775421266674472934e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.409
y[1] (analytic) = 12.081780184722854701654210102143
y[1] (numeric) = 12.081780184722854701654210102148
absolute error = 5e-30
relative error = 4.1384629777674568374599481997021e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 12.086795452545487684095743605714
y[1] (numeric) = 12.086795452545487684095743605719
absolute error = 5e-30
relative error = 4.1367457732123666064070602543910e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.411
y[1] (analytic) = 12.091810720368120666537277109285
y[1] (numeric) = 12.09181072036812066653727710929
absolute error = 5e-30
relative error = 4.1350299931322287521530548374459e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.412
y[1] (analytic) = 12.096825988190753648978810612855
y[1] (numeric) = 12.096825988190753648978810612861
absolute error = 6e-30
relative error = 4.9599787629063699111646841856133e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.413
y[1] (analytic) = 12.101841256013386631420344116426
y[1] (numeric) = 12.101841256013386631420344116432
absolute error = 6e-30
relative error = 4.9579232391753685145997589124323e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.414
y[1] (analytic) = 12.106856523836019613861877619997
y[1] (numeric) = 12.106856523836019613861877620003
absolute error = 6e-30
relative error = 4.9558694184466297538232055740261e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.415
y[1] (analytic) = 12.111871791658652596303411123568
y[1] (numeric) = 12.111871791658652596303411123574
absolute error = 6e-30
relative error = 4.9538172986046228677967777456310e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.416
y[1] (analytic) = 12.116887059481285578744944627139
y[1] (numeric) = 12.116887059481285578744944627145
absolute error = 6e-30
relative error = 4.9517668775373196298548088806700e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.417
y[1] (analytic) = 12.12190232730391856118647813071
y[1] (numeric) = 12.121902327303918561186478130716
absolute error = 6e-30
relative error = 4.9497181531361871020807688273473e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.418
y[1] (analytic) = 12.12691759512655154362801163428
y[1] (numeric) = 12.126917595126551543628011634287
absolute error = 7e-30
relative error = 5.7722829771788771422735406527361e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.419
y[1] (analytic) = 12.131932862949184526069545137851
y[1] (numeric) = 12.131932862949184526069545137858
absolute error = 7e-30
relative error = 5.7698967502350247747074912353517e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 12.136948130771817508511078641422
y[1] (numeric) = 12.136948130771817508511078641429
absolute error = 7e-30
relative error = 5.7675124953795557562055459910395e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.421
y[1] (analytic) = 12.141963398594450490952612144993
y[1] (numeric) = 12.141963398594450490952612145
absolute error = 7e-30
relative error = 5.7651302101687422263599427089283e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.422
y[1] (analytic) = 12.146978666417083473394145648564
y[1] (numeric) = 12.146978666417083473394145648571
absolute error = 7e-30
relative error = 5.7627498921628922089254423197007e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.423
y[1] (analytic) = 12.151993934239716455835679152135
y[1] (numeric) = 12.151993934239716455835679152142
absolute error = 7e-30
relative error = 5.7603715389263412835400005358295e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.424
y[1] (analytic) = 12.157009202062349438277212655705
y[1] (numeric) = 12.157009202062349438277212655713
absolute error = 8e-30
relative error = 6.5805658834599363177828483254672e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.425
y[1] (analytic) = 12.162024469884982420718746159276
y[1] (numeric) = 12.162024469884982420718746159284
absolute error = 8e-30
relative error = 6.5778522480440765502291234395597e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.426
y[1] (analytic) = 12.167039737707615403160279662847
y[1] (numeric) = 12.167039737707615403160279662855
absolute error = 8e-30
relative error = 6.5751408497555175739099853012910e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.427
y[1] (analytic) = 12.172055005530248385601813166418
y[1] (numeric) = 12.172055005530248385601813166426
absolute error = 8e-30
relative error = 6.5724316858289598822849708862513e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.428
y[1] (analytic) = 12.177070273352881368043346669989
y[1] (numeric) = 12.177070273352881368043346669997
absolute error = 8e-30
relative error = 6.5697247535036596516909490695764e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.429
y[1] (analytic) = 12.18208554117551435048488017356
y[1] (numeric) = 12.182085541175514350484880173568
absolute error = 8e-30
relative error = 6.5670200500234193636499070979545e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 12.187100808998147332926413677131
y[1] (numeric) = 12.187100808998147332926413677139
absolute error = 8e-30
relative error = 6.5643175726365784503315326505890e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.431
y[1] (analytic) = 12.192116076820780315367947180701
y[1] (numeric) = 12.19211607682078031536794718071
absolute error = 9e-30
relative error = 7.3818194834205044584919076032698e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.432
y[1] (analytic) = 12.197131344643413297809480684272
y[1] (numeric) = 12.197131344643413297809480684281
absolute error = 9e-30
relative error = 7.3787841958039664221191724438933e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.433
y[1] (analytic) = 12.202146612466046280251014187843
y[1] (numeric) = 12.202146612466046280251014187852
absolute error = 9e-30
relative error = 7.3757514032861678333718978148575e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.434
y[1] (analytic) = 12.207161880288679262692547691414
y[1] (numeric) = 12.207161880288679262692547691423
absolute error = 9e-30
relative error = 7.3727211027918021111724845454183e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.435
y[1] (analytic) = 12.212177148111312245134081194985
y[1] (numeric) = 12.212177148111312245134081194994
absolute error = 9e-30
relative error = 7.3696932912506145127695389665494e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.436
y[1] (analytic) = 12.217192415933945227575614698556
y[1] (numeric) = 12.217192415933945227575614698565
absolute error = 9e-30
relative error = 7.3666679655973917646115875958734e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.437
y[1] (analytic) = 12.222207683756578210017148202126
y[1] (numeric) = 12.222207683756578210017148202136
absolute error = 1.0e-29
relative error = 8.1818279141910574652778130595672e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=156.4MB, alloc=4.0MB, time=9.81
x[1] = 2.438
y[1] (analytic) = 12.227222951579211192458681705697
y[1] (numeric) = 12.227222951579211192458681705707
absolute error = 1.0e-29
relative error = 8.1784719552434811496644915611834e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.439
y[1] (analytic) = 12.232238219401844174900215209268
y[1] (numeric) = 12.232238219401844174900215209278
absolute error = 1.0e-29
relative error = 8.1751187482097609851914843895715e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 12.237253487224477157341748712839
y[1] (numeric) = 12.237253487224477157341748712849
absolute error = 1.0e-29
relative error = 8.1717682897063963290500124697396e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.441
y[1] (analytic) = 12.24226875504711013978328221641
y[1] (numeric) = 12.24226875504711013978328221642
absolute error = 1.0e-29
relative error = 8.1684205763554309884809628947826e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.442
y[1] (analytic) = 12.247284022869743122224815719981
y[1] (numeric) = 12.247284022869743122224815719991
absolute error = 1.0e-29
relative error = 8.1650756047844418685020599615741e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.443
y[1] (analytic) = 12.252299290692376104666349223551
y[1] (numeric) = 12.252299290692376104666349223562
absolute error = 1.1e-29
relative error = 8.9779067087891804122677992094891e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.444
y[1] (analytic) = 12.257314558515009087107882727122
y[1] (numeric) = 12.257314558515009087107882727133
absolute error = 1.1e-29
relative error = 8.9742332608723272287930578841169e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.445
y[1] (analytic) = 12.262329826337642069549416230693
y[1] (numeric) = 12.262329826337642069549416230704
absolute error = 1.1e-29
relative error = 8.9705628178208457043641036682132e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.446
y[1] (analytic) = 12.267345094160275051990949734264
y[1] (numeric) = 12.267345094160275051990949734275
absolute error = 1.1e-29
relative error = 8.9668953759492918017866858008099e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.447
y[1] (analytic) = 12.272360361982908034432483237835
y[1] (numeric) = 12.272360361982908034432483237846
absolute error = 1.1e-29
relative error = 8.9632309315782459122068792271274e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.448
y[1] (analytic) = 12.277375629805541016874016741406
y[1] (numeric) = 12.277375629805541016874016741417
absolute error = 1.1e-29
relative error = 8.9595694810343005503146378548940e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.449
y[1] (analytic) = 12.282390897628173999315550244976
y[1] (numeric) = 12.282390897628173999315550244988
absolute error = 1.2e-29
relative error = 9.7700847498000524505751067829312e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 12.287406165450806981757083748547
y[1] (numeric) = 12.287406165450806981757083748559
absolute error = 1.2e-29
relative error = 9.7660969601062565107993618413870e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.451
y[1] (analytic) = 12.292421433273439964198617252118
y[1] (numeric) = 12.29242143327343996419861725213
absolute error = 1.2e-29
relative error = 9.7621124244228186256460369283549e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.452
y[1] (analytic) = 12.297436701096072946640150755689
y[1] (numeric) = 12.297436701096072946640150755701
absolute error = 1.2e-29
relative error = 9.7581311387684863178868011873562e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.453
y[1] (analytic) = 12.30245196891870592908168425926
y[1] (numeric) = 12.302451968918705929081684259272
absolute error = 1.2e-29
relative error = 9.7541530991684991648831783576833e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.454
y[1] (analytic) = 12.307467236741338911523217762831
y[1] (numeric) = 12.307467236741338911523217762843
absolute error = 1.2e-29
relative error = 9.7501783016545755710914574211071e-29 %
Correct digits = 30
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.455
y[1] (analytic) = 12.312482504563971893964751266401
y[1] (numeric) = 12.312482504563971893964751266414
absolute error = 1.3e-29
relative error = 1.0558390637453641203970117944609e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.456
y[1] (analytic) = 12.317497772386604876406284769972
y[1] (numeric) = 12.317497772386604876406284769985
absolute error = 1.3e-29
relative error = 1.0554091618464449981981530763035e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.457
y[1] (analytic) = 12.322513040209237858847818273543
y[1] (numeric) = 12.322513040209237858847818273556
absolute error = 1.3e-29
relative error = 1.0549796098880215366604248902733e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.458
y[1] (analytic) = 12.327528308031870841289351777114
y[1] (numeric) = 12.327528308031870841289351777127
absolute error = 1.3e-29
relative error = 1.0545504074429897947822066539469e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.459
y[1] (analytic) = 12.332543575854503823730885280685
y[1] (numeric) = 12.332543575854503823730885280698
absolute error = 1.3e-29
relative error = 1.0541215540849405919376429261494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 12.337558843677136806172418784256
y[1] (numeric) = 12.337558843677136806172418784269
absolute error = 1.3e-29
relative error = 1.0536930493881580957620585184558e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.461
y[1] (analytic) = 12.342574111499769788613952287826
y[1] (numeric) = 12.34257411149976978861395228784
absolute error = 1.4e-29
relative error = 1.1342852693066659837478603249342e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.462
y[1] (analytic) = 12.347589379322402771055485791397
y[1] (numeric) = 12.347589379322402771055485791411
absolute error = 1.4e-29
relative error = 1.1338245523004488164108384482791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.463
y[1] (analytic) = 12.352604647145035753497019294968
y[1] (numeric) = 12.352604647145035753497019294982
absolute error = 1.4e-29
relative error = 1.1333642094046711270822104180524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.464
y[1] (analytic) = 12.357619914967668735938552798539
y[1] (numeric) = 12.357619914967668735938552798553
absolute error = 1.4e-29
relative error = 1.1329042401638413092546608196684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.465
y[1] (analytic) = 12.36263518279030171838008630211
y[1] (numeric) = 12.362635182790301718380086302124
absolute error = 1.4e-29
relative error = 1.1324446441232068908736244461108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.466
y[1] (analytic) = 12.367650450612934700821619805681
y[1] (numeric) = 12.367650450612934700821619805695
absolute error = 1.4e-29
relative error = 1.1319854208287530356867332764246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.467
y[1] (analytic) = 12.372665718435567683263153309251
y[1] (numeric) = 12.372665718435567683263153309266
absolute error = 1.5e-29
relative error = 1.2123498962434296945408611933218e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.468
y[1] (analytic) = 12.377680986258200665704686812822
y[1] (numeric) = 12.377680986258200665704686812837
absolute error = 1.5e-29
relative error = 1.2118586685707216598185999043455e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.469
y[1] (analytic) = 12.382696254080833648146220316393
y[1] (numeric) = 12.382696254080833648146220316408
absolute error = 1.5e-29
relative error = 1.2113678388143139151204149712129e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 12.387711521903466630587753819964
y[1] (numeric) = 12.387711521903466630587753819979
absolute error = 1.5e-29
relative error = 1.2108774064909073102964795805363e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.471
y[1] (analytic) = 12.392726789726099613029287323535
y[1] (numeric) = 12.39272678972609961302928732355
absolute error = 1.5e-29
relative error = 1.2103873711179850491429803981889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.472
y[1] (analytic) = 12.397742057548732595470820827106
y[1] (numeric) = 12.397742057548732595470820827121
absolute error = 1.5e-29
relative error = 1.2098977322138111069709969918789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.473
y[1] (analytic) = 12.402757325371365577912354330676
y[1] (numeric) = 12.402757325371365577912354330692
absolute error = 1.6e-29
relative error = 1.2900357219172572288156590651785e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.474
y[1] (analytic) = 12.407772593193998560353887834247
y[1] (numeric) = 12.407772593193998560353887834263
absolute error = 1.6e-29
relative error = 1.2895142846812357020457254923955e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.475
y[1] (analytic) = 12.412787861016631542795421337818
y[1] (numeric) = 12.412787861016631542795421337834
absolute error = 1.6e-29
relative error = 1.2889932688086372229741918659339e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.476
y[1] (analytic) = 12.417803128839264525236954841389
y[1] (numeric) = 12.417803128839264525236954841405
absolute error = 1.6e-29
relative error = 1.2884726737889245261959308837586e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.477
y[1] (analytic) = 12.42281839666189750767848834496
y[1] (numeric) = 12.422818396661897507678488344976
absolute error = 1.6e-29
relative error = 1.2879524991123847908199938910724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.478
y[1] (analytic) = 12.427833664484530490120021848531
y[1] (numeric) = 12.427833664484530490120021848547
absolute error = 1.6e-29
relative error = 1.2874327442701279769415354593165e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.479
y[1] (analytic) = 12.432848932307163472561555352101
y[1] (numeric) = 12.432848932307163472561555352118
absolute error = 1.7e-29
relative error = 1.3673454968012154890237778025204e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 12.437864200129796455003088855672
y[1] (numeric) = 12.437864200129796455003088855689
absolute error = 1.7e-29
relative error = 1.3667941478105698376169133759871e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.481
y[1] (analytic) = 12.442879467952429437444622359243
y[1] (numeric) = 12.44287946795242943744462235926
absolute error = 1.7e-29
relative error = 1.3662432432769904060015901541508e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.482
y[1] (analytic) = 12.447894735775062419886155862814
y[1] (numeric) = 12.447894735775062419886155862831
absolute error = 1.7e-29
relative error = 1.3656927826632607563617829059017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.483
y[1] (analytic) = 12.452910003597695402327689366385
y[1] (numeric) = 12.452910003597695402327689366402
absolute error = 1.7e-29
relative error = 1.3651427654330298821143556876552e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.484
y[1] (analytic) = 12.457925271420328384769222869956
y[1] (numeric) = 12.457925271420328384769222869973
absolute error = 1.7e-29
relative error = 1.3645931910508104658977234993752e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.485
y[1] (analytic) = 12.462940539242961367210756373526
y[1] (numeric) = 12.462940539242961367210756373544
absolute error = 1.8e-29
relative error = 1.4442819448044463853999056244305e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.486
y[1] (analytic) = 12.467955807065594349652289877097
y[1] (numeric) = 12.467955807065594349652289877115
absolute error = 1.8e-29
relative error = 1.4437009786158685710855854693120e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.487
y[1] (analytic) = 12.472971074888227332093823380668
y[1] (numeric) = 12.472971074888227332093823380686
absolute error = 1.8e-29
relative error = 1.4431204796296941164932712009287e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.488
y[1] (analytic) = 12.477986342710860314535356884239
y[1] (numeric) = 12.477986342710860314535356884257
absolute error = 1.8e-29
relative error = 1.4425404472825760722342304970698e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.489
y[1] (analytic) = 12.48300161053349329697689038781
y[1] (numeric) = 12.483001610533493296976890387828
absolute error = 1.8e-29
relative error = 1.4419608810120728275286321722417e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 12.488016878356126279418423891381
y[1] (numeric) = 12.488016878356126279418423891399
absolute error = 1.8e-29
relative error = 1.4413817802566462922565323199637e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.491
y[1] (analytic) = 12.493032146178759261859957394951
y[1] (numeric) = 12.49303214617875926185995739497
absolute error = 1.9e-29
relative error = 1.5208477635920856435759075796754e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.492
y[1] (analytic) = 12.498047414001392244301490898522
y[1] (numeric) = 12.498047414001392244301490898541
absolute error = 1.9e-29
relative error = 1.5202374715521209222101066536803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.493
y[1] (analytic) = 12.503062681824025226743024402093
y[1] (numeric) = 12.503062681824025226743024402112
absolute error = 1.9e-29
relative error = 1.5196276691166808416155578744370e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.494
y[1] (analytic) = 12.508077949646658209184557905664
y[1] (numeric) = 12.508077949646658209184557905683
absolute error = 1.9e-29
relative error = 1.5190183556968265189044048841104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.495
y[1] (analytic) = 12.513093217469291191626091409235
y[1] (numeric) = 12.513093217469291191626091409254
absolute error = 1.9e-29
relative error = 1.5184095307045632617825995114113e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=160.2MB, alloc=4.0MB, time=10.05
TOP MAIN SOLVE Loop
x[1] = 2.496
y[1] (analytic) = 12.518108485291924174067624912806
y[1] (numeric) = 12.518108485291924174067624912825
absolute error = 1.9e-29
relative error = 1.5178011935528386771424622519917e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.497
y[1] (analytic) = 12.523123753114557156509158416376
y[1] (numeric) = 12.523123753114557156509158416396
absolute error = 2.0e-29
relative error = 1.5970456249005692465263941070217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.498
y[1] (analytic) = 12.528139020937190138950691919947
y[1] (numeric) = 12.528139020937190138950691919967
absolute error = 2.0e-29
relative error = 1.5964062951868380338576485529356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.499
y[1] (analytic) = 12.533154288759823121392225423518
y[1] (numeric) = 12.533154288759823121392225423538
absolute error = 2.0e-29
relative error = 1.5957674771415451815031636995730e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 12.538169556582456103833758927089
y[1] (numeric) = 12.538169556582456103833758927109
absolute error = 2.0e-29
relative error = 1.5951291701506885634305624340932e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.501
y[1] (analytic) = 12.54318482440508908627529243066
y[1] (numeric) = 12.54318482440508908627529243068
absolute error = 2.0e-29
relative error = 1.5944913736012480642048804819004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.502
y[1] (analytic) = 12.548200092227722068716825934231
y[1] (numeric) = 12.548200092227722068716825934251
absolute error = 2.0e-29
relative error = 1.5938540868811836165373325680387e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.503
y[1] (analytic) = 12.553215360050355051158359437802
y[1] (numeric) = 12.553215360050355051158359437822
absolute error = 2.0e-29
relative error = 1.5932173093794332435383164543479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.504
y[1] (analytic) = 12.558230627872988033599892941372
y[1] (numeric) = 12.558230627872988033599892941393
absolute error = 2.1e-29
relative error = 1.6722100925102066609445792290314e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.505
y[1] (analytic) = 12.563245895695621016041426444943
y[1] (numeric) = 12.563245895695621016041426444964
absolute error = 2.1e-29
relative error = 1.6715425435710808299422061435108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.506
y[1] (analytic) = 12.568261163518253998482959948514
y[1] (numeric) = 12.568261163518253998482959948535
absolute error = 2.1e-29
relative error = 1.6708755273924810371130193094551e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.507
y[1] (analytic) = 12.573276431340886980924493452085
y[1] (numeric) = 12.573276431340886980924493452106
absolute error = 2.1e-29
relative error = 1.6702090433368797283626750656141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.508
y[1] (analytic) = 12.578291699163519963366026955656
y[1] (numeric) = 12.578291699163519963366026955677
absolute error = 2.1e-29
relative error = 1.6695430907677661399542369974061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.509
y[1] (analytic) = 12.583306966986152945807560459227
y[1] (numeric) = 12.583306966986152945807560459248
absolute error = 2.1e-29
relative error = 1.6688776690496442722220910280966e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 12.588322234808785928249093962797
y[1] (numeric) = 12.588322234808785928249093962819
absolute error = 2.2e-29
relative error = 1.7476514812407942428024090413372e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.511
y[1] (analytic) = 12.593337502631418910690627466368
y[1] (numeric) = 12.59333750263141891069062746639
absolute error = 2.2e-29
relative error = 1.7469554830403797488785530441084e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.512
y[1] (analytic) = 12.598352770454051893132160969939
y[1] (numeric) = 12.598352770454051893132160969961
absolute error = 2.2e-29
relative error = 1.7462600389786598524817064863679e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.513
y[1] (analytic) = 12.60336803827668487557369447351
y[1] (numeric) = 12.603368038276684875573694473532
absolute error = 2.2e-29
relative error = 1.7455651483941080578726807376666e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.514
y[1] (analytic) = 12.608383306099317858015227977081
y[1] (numeric) = 12.608383306099317858015227977103
absolute error = 2.2e-29
relative error = 1.7448708106262504174359772051536e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.515
y[1] (analytic) = 12.613398573921950840456761480652
y[1] (numeric) = 12.613398573921950840456761480674
absolute error = 2.2e-29
relative error = 1.7441770250156634391387859617320e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.516
y[1] (analytic) = 12.618413841744583822898294984222
y[1] (numeric) = 12.618413841744583822898294984245
absolute error = 2.3e-29
relative error = 1.8227330541268798171156069149515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.517
y[1] (analytic) = 12.623429109567216805339828487793
y[1] (numeric) = 12.623429109567216805339828487816
absolute error = 2.3e-29
relative error = 1.8220088852535675883444048462527e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.518
y[1] (analytic) = 12.628444377389849787781361991364
y[1] (numeric) = 12.628444377389849787781361991387
absolute error = 2.3e-29
relative error = 1.8212852915739593406921632239944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.519
y[1] (analytic) = 12.633459645212482770222895494935
y[1] (numeric) = 12.633459645212482770222895494958
absolute error = 2.3e-29
relative error = 1.8205622724030288288459178237467e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 12.638474913035115752664428998506
y[1] (numeric) = 12.638474913035115752664428998529
absolute error = 2.3e-29
relative error = 1.8198398270568371507392329357213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.521
y[1] (analytic) = 12.643490180857748735105962502077
y[1] (numeric) = 12.6434901808577487351059625021
absolute error = 2.3e-29
relative error = 1.8191179548525305909809071789043e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.522
y[1] (analytic) = 12.648505448680381717547496005647
y[1] (numeric) = 12.648505448680381717547496005671
absolute error = 2.4e-29
relative error = 1.8974573792434836202584009921807e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.523
y[1] (analytic) = 12.653520716503014699989029509218
y[1] (numeric) = 12.653520716503014699989029509242
absolute error = 2.4e-29
relative error = 1.8967053152802479945666616338802e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.524
y[1] (analytic) = 12.658535984325647682430563012789
y[1] (numeric) = 12.658535984325647682430563012813
absolute error = 2.4e-29
relative error = 1.8959538472472526506702406110458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.525
y[1] (analytic) = 12.66355125214828066487209651636
y[1] (numeric) = 12.663551252148280664872096516384
absolute error = 2.4e-29
relative error = 1.8952029744364616595214603177345e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.526
y[1] (analytic) = 12.668566519970913647313630019931
y[1] (numeric) = 12.668566519970913647313630019955
absolute error = 2.4e-29
relative error = 1.8944526961409602891099316319396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.527
y[1] (analytic) = 12.673581787793546629755163523502
y[1] (numeric) = 12.673581787793546629755163523526
absolute error = 2.4e-29
relative error = 1.8937030116549527860275770883575e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.528
y[1] (analytic) = 12.678597055616179612196697027072
y[1] (numeric) = 12.678597055616179612196697027097
absolute error = 2.5e-29
relative error = 1.9718270002851668357280488949926e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.529
y[1] (analytic) = 12.683612323438812594638230530643
y[1] (numeric) = 12.683612323438812594638230530668
absolute error = 2.5e-29
relative error = 1.9710473138477270702730358270230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 12.688627591261445577079764034214
y[1] (numeric) = 12.688627591261445577079764034239
absolute error = 2.5e-29
relative error = 1.9702682437632022769646275124669e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.531
y[1] (analytic) = 12.693642859084078559521297537785
y[1] (numeric) = 12.69364285908407855952129753781
absolute error = 2.5e-29
relative error = 1.9694897893010279576137920215492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.532
y[1] (analytic) = 12.698658126906711541962831041356
y[1] (numeric) = 12.698658126906711541962831041381
absolute error = 2.5e-29
relative error = 1.9687119497317937443603900499767e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.533
y[1] (analytic) = 12.703673394729344524404364544927
y[1] (numeric) = 12.703673394729344524404364544952
absolute error = 2.5e-29
relative error = 1.9679347243272411214846062402452e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.534
y[1] (analytic) = 12.708688662551977506845898048497
y[1] (numeric) = 12.708688662551977506845898048523
absolute error = 2.6e-29
relative error = 2.0458444368546715987171775496460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.535
y[1] (analytic) = 12.713703930374610489287431552068
y[1] (numeric) = 12.713703930374610489287431552094
absolute error = 2.6e-29
relative error = 2.0450373976290879018340544026836e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.536
y[1] (analytic) = 12.718719198197243471728965055639
y[1] (numeric) = 12.718719198197243471728965055665
absolute error = 2.6e-29
relative error = 2.0442309948697704381503658954270e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.537
y[1] (analytic) = 12.72373446601987645417049855921
y[1] (numeric) = 12.723734466019876454170498559236
absolute error = 2.6e-29
relative error = 2.0434252278240984750292975604268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.538
y[1] (analytic) = 12.728749733842509436612032062781
y[1] (numeric) = 12.728749733842509436612032062807
absolute error = 2.6e-29
relative error = 2.0426200957406374433212481918056e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.539
y[1] (analytic) = 12.733765001665142419053565566352
y[1] (numeric) = 12.733765001665142419053565566378
absolute error = 2.6e-29
relative error = 2.0418155978691366014766947265863e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 12.738780269487775401495099069922
y[1] (numeric) = 12.738780269487775401495099069949
absolute error = 2.7e-29
relative error = 2.1195121847474700399913969350648e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.541
y[1] (analytic) = 12.743795537310408383936632573493
y[1] (numeric) = 12.74379553731040838393663257352
absolute error = 2.7e-29
relative error = 2.1186780595271837471775475069125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.542
y[1] (analytic) = 12.748810805133041366378166077064
y[1] (numeric) = 12.748810805133041366378166077091
absolute error = 2.7e-29
relative error = 2.1178445905816577110850307691048e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.543
y[1] (analytic) = 12.753826072955674348819699580635
y[1] (numeric) = 12.753826072955674348819699580662
absolute error = 2.7e-29
relative error = 2.1170117771366786872112261954638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.544
y[1] (analytic) = 12.758841340778307331261233084206
y[1] (numeric) = 12.758841340778307331261233084233
absolute error = 2.7e-29
relative error = 2.1161796184192507474756871914561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.545
y[1] (analytic) = 12.763856608600940313702766587777
y[1] (numeric) = 12.763856608600940313702766587804
absolute error = 2.7e-29
relative error = 2.1153481136575928886358146228151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.546
y[1] (analytic) = 12.768871876423573296144300091347
y[1] (numeric) = 12.768871876423573296144300091375
absolute error = 2.8e-29
relative error = 2.1928327162322898554622814294290e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.547
y[1] (analytic) = 12.773887144246206278585833594918
y[1] (numeric) = 12.773887144246206278585833594946
absolute error = 2.8e-29
relative error = 2.1919717689546171857114128462215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.548
y[1] (analytic) = 12.778902412068839261027367098489
y[1] (numeric) = 12.778902412068839261027367098517
absolute error = 2.8e-29
relative error = 2.1911114974597370376793440028753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.549
y[1] (analytic) = 12.78391767989147224346890060206
y[1] (numeric) = 12.783917679891472243468900602088
absolute error = 2.8e-29
relative error = 2.1902519009522989297791167200181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 12.788932947714105225910434105631
y[1] (numeric) = 12.788932947714105225910434105659
absolute error = 2.8e-29
relative error = 2.1893929786381999890223405958141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.551
y[1] (analytic) = 12.793948215536738208351967609202
y[1] (numeric) = 12.79394821553673820835196760923
absolute error = 2.8e-29
relative error = 2.1885347297245825056867771537930e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.552
y[1] (analytic) = 12.798963483359371190793501112772
y[1] (numeric) = 12.798963483359371190793501112801
absolute error = 2.9e-29
relative error = 2.2658084803276826185093216393370e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.553
y[1] (analytic) = 12.803978751182004173235034616343
y[1] (numeric) = 12.803978751182004173235034616372
absolute error = 2.9e-29
relative error = 2.2649209721097712661323105458629e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=164.0MB, alloc=4.0MB, time=10.29
TOP MAIN SOLVE Loop
x[1] = 2.554
y[1] (analytic) = 12.808994019004637155676568119914
y[1] (numeric) = 12.808994019004637155676568119943
absolute error = 2.9e-29
relative error = 2.2640341588865489594501913952967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.555
y[1] (analytic) = 12.814009286827270138118101623485
y[1] (numeric) = 12.814009286827270138118101623514
absolute error = 2.9e-29
relative error = 2.2631480398419749676852402440657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.556
y[1] (analytic) = 12.819024554649903120559635127056
y[1] (numeric) = 12.819024554649903120559635127085
absolute error = 2.9e-29
relative error = 2.2622626141612856191063336555507e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.557
y[1] (analytic) = 12.824039822472536103001168630627
y[1] (numeric) = 12.824039822472536103001168630656
absolute error = 2.9e-29
relative error = 2.2613778810309918038466127585403e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.558
y[1] (analytic) = 12.829055090295169085442702134197
y[1] (numeric) = 12.829055090295169085442702134227
absolute error = 3.0e-29
relative error = 2.3384419030746998095639597841476e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.559
y[1] (analytic) = 12.834070358117802067884235637768
y[1] (numeric) = 12.834070358117802067884235637798
absolute error = 3.0e-29
relative error = 2.3375280922489574493413869198318e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 12.839085625940435050325769141339
y[1] (numeric) = 12.839085625940435050325769141369
absolute error = 3.0e-29
relative error = 2.3366149953379227003377379405662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.561
y[1] (analytic) = 12.84410089376306803276730264491
y[1] (numeric) = 12.84410089376306803276730264494
absolute error = 3.0e-29
relative error = 2.3357026115053034411810266020498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.562
y[1] (analytic) = 12.849116161585701015208836148481
y[1] (numeric) = 12.849116161585701015208836148511
absolute error = 3.0e-29
relative error = 2.3347909399161132368714321342113e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.563
y[1] (analytic) = 12.854131429408333997650369652052
y[1] (numeric) = 12.854131429408333997650369652082
absolute error = 3.0e-29
relative error = 2.3338799797366687915975845212053e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.564
y[1] (analytic) = 12.859146697230966980091903155622
y[1] (numeric) = 12.859146697230966980091903155653
absolute error = 3.1e-29
relative error = 2.4107353878057403210972813697782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.565
y[1] (analytic) = 12.864161965053599962533436659193
y[1] (numeric) = 12.864161965053599962533436659224
absolute error = 3.1e-29
relative error = 2.4097955299547439311085494862032e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.566
y[1] (analytic) = 12.869177232876232944974970162764
y[1] (numeric) = 12.869177232876232944974970162795
absolute error = 3.1e-29
relative error = 2.4088564046507865094674315791548e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.567
y[1] (analytic) = 12.874192500698865927416503666335
y[1] (numeric) = 12.874192500698865927416503666366
absolute error = 3.1e-29
relative error = 2.4079180110377554278509658870709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.568
y[1] (analytic) = 12.879207768521498909858037169906
y[1] (numeric) = 12.879207768521498909858037169937
absolute error = 3.1e-29
relative error = 2.4069803482608715667030488442800e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.569
y[1] (analytic) = 12.884223036344131892299570673477
y[1] (numeric) = 12.884223036344131892299570673508
absolute error = 3.1e-29
relative error = 2.4060434154666867198495248859910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 12.889238304166764874741104177047
y[1] (numeric) = 12.889238304166764874741104177079
absolute error = 3.2e-29
relative error = 2.4826913154096320053393967845809e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.571
y[1] (analytic) = 12.894253571989397857182637680618
y[1] (numeric) = 12.89425357198939785718263768065
absolute error = 3.2e-29
relative error = 2.4817256634005267420156552844702e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.572
y[1] (analytic) = 12.899268839812030839624171184189
y[1] (numeric) = 12.899268839812030839624171184221
absolute error = 3.2e-29
relative error = 2.4807607622872294921159602396473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.573
y[1] (analytic) = 12.90428410763466382206570468776
y[1] (numeric) = 12.904284107634663822065704687792
absolute error = 3.2e-29
relative error = 2.4797966111942301802262921633784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.574
y[1] (analytic) = 12.909299375457296804507238191331
y[1] (numeric) = 12.909299375457296804507238191363
absolute error = 3.2e-29
relative error = 2.4788332092473792749503689729497e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.575
y[1] (analytic) = 12.914314643279929786948771694902
y[1] (numeric) = 12.914314643279929786948771694934
absolute error = 3.2e-29
relative error = 2.4778705555738851470766018393680e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.576
y[1] (analytic) = 12.919329911102562769390305198473
y[1] (numeric) = 12.919329911102562769390305198505
absolute error = 3.2e-29
relative error = 2.4769086493023114338983888728154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.577
y[1] (analytic) = 12.924345178925195751831838702043
y[1] (numeric) = 12.924345178925195751831838702076
absolute error = 3.3e-29
relative error = 2.5533208486114048599732518589967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.578
y[1] (analytic) = 12.929360446747828734273372205614
y[1] (numeric) = 12.929360446747828734273372205647
absolute error = 3.3e-29
relative error = 2.5523304215948759985070093253043e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.579
y[1] (analytic) = 12.934375714570461716714905709185
y[1] (numeric) = 12.934375714570461716714905709218
absolute error = 3.3e-29
relative error = 2.5513407626489299434474874139722e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 12.939390982393094699156439212756
y[1] (numeric) = 12.939390982393094699156439212789
absolute error = 3.3e-29
relative error = 2.5503518708804613659500271475327e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.581
y[1] (analytic) = 12.944406250215727681597972716327
y[1] (numeric) = 12.94440625021572768159797271636
absolute error = 3.3e-29
relative error = 2.5493637453977490601127741343023e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.582
y[1] (analytic) = 12.949421518038360664039506219898
y[1] (numeric) = 12.949421518038360664039506219931
absolute error = 3.3e-29
relative error = 2.5483763853104532626456506741418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.583
y[1] (analytic) = 12.954436785860993646481039723468
y[1] (numeric) = 12.954436785860993646481039723502
absolute error = 3.4e-29
relative error = 2.6245834197214194326673985075092e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.584
y[1] (analytic) = 12.959452053683626628922573227039
y[1] (numeric) = 12.959452053683626628922573227073
absolute error = 3.4e-29
relative error = 2.6235677140636325056423724244954e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.585
y[1] (analytic) = 12.96446732150625961136410673061
y[1] (numeric) = 12.964467321506259611364106730644
absolute error = 3.4e-29
relative error = 2.6225527942516156265299382378708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.586
y[1] (analytic) = 12.969482589328892593805640234181
y[1] (numeric) = 12.969482589328892593805640234215
absolute error = 3.4e-29
relative error = 2.6215386593737147697524711310502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.587
y[1] (analytic) = 12.974497857151525576247173737752
y[1] (numeric) = 12.974497857151525576247173737786
absolute error = 3.4e-29
relative error = 2.6205253085196855023501702144940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.588
y[1] (analytic) = 12.979513124974158558688707241323
y[1] (numeric) = 12.979513124974158558688707241357
absolute error = 3.4e-29
relative error = 2.6195127407806902606568355273940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.589
y[1] (analytic) = 12.984528392796791541130240744893
y[1] (numeric) = 12.984528392796791541130240744928
absolute error = 3.5e-29
relative error = 2.6955156892272160930894981263646e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 12.989543660619424523571774248464
y[1] (numeric) = 12.989543660619424523571774248499
absolute error = 3.5e-29
relative error = 2.6944749495788658166056797873196e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.591
y[1] (analytic) = 12.994558928442057506013307752035
y[1] (numeric) = 12.99455892844205750601330775207
absolute error = 3.5e-29
relative error = 2.6934350132803019934421885948119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.592
y[1] (analytic) = 12.999574196264690488454841255606
y[1] (numeric) = 12.999574196264690488454841255641
absolute error = 3.5e-29
relative error = 2.6923958794017216300187926887182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.593
y[1] (analytic) = 13.004589464087323470896374759177
y[1] (numeric) = 13.004589464087323470896374759212
absolute error = 3.5e-29
relative error = 2.6913575470147560605509875237784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.594
y[1] (analytic) = 13.009604731909956453337908262748
y[1] (numeric) = 13.009604731909956453337908262783
absolute error = 3.5e-29
relative error = 2.6903200151924681823472284692203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.595
y[1] (analytic) = 13.014619999732589435779441766318
y[1] (numeric) = 13.014619999732589435779441766354
absolute error = 3.6e-29
relative error = 2.7661199482381882602842123134565e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.596
y[1] (analytic) = 13.019635267555222418220975269889
y[1] (numeric) = 13.019635267555222418220975269925
absolute error = 3.6e-29
relative error = 2.7650544166710703141130704751230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.597
y[1] (analytic) = 13.02465053537785540066250877346
y[1] (numeric) = 13.024650535377855400662508773496
absolute error = 3.6e-29
relative error = 2.7639897056904499558866118419019e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.598
y[1] (analytic) = 13.029665803200488383104042277031
y[1] (numeric) = 13.029665803200488383104042277067
absolute error = 3.6e-29
relative error = 2.7629258143487677195679487888450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.599
y[1] (analytic) = 13.034681071023121365545575780602
y[1] (numeric) = 13.034681071023121365545575780638
absolute error = 3.6e-29
relative error = 2.7618627416999224838159026369447e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 13.039696338845754347987109284173
y[1] (numeric) = 13.039696338845754347987109284209
absolute error = 3.6e-29
relative error = 2.7608004867992686674759734436227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.601
y[1] (analytic) = 13.044711606668387330428642787743
y[1] (numeric) = 13.04471160666838733042864278778
absolute error = 3.7e-29
relative error = 2.8363984667231582490835644973784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.602
y[1] (analytic) = 13.049726874491020312870176291314
y[1] (numeric) = 13.049726874491020312870176291351
absolute error = 3.7e-29
relative error = 2.8353083827620809399947545187091e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.603
y[1] (analytic) = 13.054742142313653295311709794885
y[1] (numeric) = 13.054742142313653295311709794922
absolute error = 3.7e-29
relative error = 2.8342191363607124878472344439804e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.604
y[1] (analytic) = 13.059757410136286277753243298456
y[1] (numeric) = 13.059757410136286277753243298493
absolute error = 3.7e-29
relative error = 2.8331307265541223524832378101693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.605
y[1] (analytic) = 13.064772677958919260194776802027
y[1] (numeric) = 13.064772677958919260194776802064
absolute error = 3.7e-29
relative error = 2.8320431523788616529237432850982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.606
y[1] (analytic) = 13.069787945781552242636310305598
y[1] (numeric) = 13.069787945781552242636310305635
absolute error = 3.7e-29
relative error = 2.8309564128729603245841716261246e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.607
y[1] (analytic) = 13.074803213604185225077843809168
y[1] (numeric) = 13.074803213604185225077843809206
absolute error = 3.8e-29
relative error = 2.9063534937536519663579484318922e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.608
y[1] (analytic) = 13.079818481426818207519377312739
y[1] (numeric) = 13.079818481426818207519377312777
absolute error = 3.8e-29
relative error = 2.9052390944078875292542835743645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.609
y[1] (analytic) = 13.08483374924945118996091081631
y[1] (numeric) = 13.084833749249451189960910816348
absolute error = 3.8e-29
relative error = 2.9041255493352896421215682491156e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 13.089849017072084172402444319881
y[1] (numeric) = 13.089849017072084172402444319919
absolute error = 3.8e-29
relative error = 2.9030128575539351250173071118554e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.611
y[1] (analytic) = 13.094864284894717154843977823452
y[1] (numeric) = 13.09486428489471715484397782349
memory used=167.8MB, alloc=4.0MB, time=10.53
absolute error = 3.8e-29
relative error = 2.9019010180834050847549488938883e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.612
y[1] (analytic) = 13.099879552717350137285511327023
y[1] (numeric) = 13.099879552717350137285511327061
absolute error = 3.8e-29
relative error = 2.9007900299447820353350580252459e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.613
y[1] (analytic) = 13.104894820539983119727044830593
y[1] (numeric) = 13.104894820539983119727044830632
absolute error = 3.9e-29
relative error = 2.9759872577438219466988105113680e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.614
y[1] (analytic) = 13.109910088362616102168578334164
y[1] (numeric) = 13.109910088362616102168578334203
absolute error = 3.9e-29
relative error = 2.9748487775381051058622769189764e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.615
y[1] (analytic) = 13.114925356185249084610111837735
y[1] (numeric) = 13.114925356185249084610111837774
absolute error = 3.9e-29
relative error = 2.9737111680629471306783907710150e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.616
y[1] (analytic) = 13.119940624007882067051645341306
y[1] (numeric) = 13.119940624007882067051645341345
absolute error = 3.9e-29
relative error = 2.9725744283198038022645228846346e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.617
y[1] (analytic) = 13.124955891830515049493178844877
y[1] (numeric) = 13.124955891830515049493178844916
absolute error = 3.9e-29
relative error = 2.9714385573116571443347313206741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.618
y[1] (analytic) = 13.129971159653148031934712348448
y[1] (numeric) = 13.129971159653148031934712348487
absolute error = 3.9e-29
relative error = 2.9703035540430125082979342498869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.619
y[1] (analytic) = 13.134986427475781014376245852018
y[1] (numeric) = 13.134986427475781014376245852058
absolute error = 4.0e-29
relative error = 3.0453019666870724769579275183147e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 13.140001695298413996817779355589
y[1] (numeric) = 13.140001695298413996817779355629
absolute error = 4.0e-29
relative error = 3.0441396376921537470048901413993e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.621
y[1] (analytic) = 13.14501696312104697925931285916
y[1] (numeric) = 13.1450169631210469792593128592
absolute error = 4.0e-29
relative error = 3.0429781956327519332898939986516e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.622
y[1] (analytic) = 13.150032230943679961700846362731
y[1] (numeric) = 13.150032230943679961700846362771
absolute error = 4.0e-29
relative error = 3.0418176394940666732085477385453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.623
y[1] (analytic) = 13.155047498766312944142379866302
y[1] (numeric) = 13.155047498766312944142379866342
absolute error = 4.0e-29
relative error = 3.0406579682628451456930278957170e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.624
y[1] (analytic) = 13.160062766588945926583913369873
y[1] (numeric) = 13.160062766588945926583913369913
absolute error = 4.0e-29
relative error = 3.0394991809273791223905534186226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.625
y[1] (analytic) = 13.165078034411578909025446873443
y[1] (numeric) = 13.165078034411578909025446873484
absolute error = 4.1e-29
relative error = 3.1142998083894395762215742760868e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.626
y[1] (analytic) = 13.170093302234211891466980377014
y[1] (numeric) = 13.170093302234211891466980377055
absolute error = 4.1e-29
relative error = 3.1131138602522006426434244001248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.627
y[1] (analytic) = 13.175108570056844873908513880585
y[1] (numeric) = 13.175108570056844873908513880626
absolute error = 4.1e-29
relative error = 3.1119288150065774219952921487353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.628
y[1] (analytic) = 13.180123837879477856350047384156
y[1] (numeric) = 13.180123837879477856350047384197
absolute error = 4.1e-29
relative error = 3.1107446716218717228240610634427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.629
y[1] (analytic) = 13.185139105702110838791580887727
y[1] (numeric) = 13.185139105702110838791580887768
absolute error = 4.1e-29
relative error = 3.1095614290689535517617468523117e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 13.190154373524743821233114391298
y[1] (numeric) = 13.190154373524743821233114391339
absolute error = 4.1e-29
relative error = 3.1083790863202581321603165303146e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.631
y[1] (analytic) = 13.195169641347376803674647894868
y[1] (numeric) = 13.19516964134737680367464789491
absolute error = 4.2e-29
relative error = 3.1829829506997776351236992698554e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.632
y[1] (analytic) = 13.200184909170009786116181398439
y[1] (numeric) = 13.200184909170009786116181398481
absolute error = 4.2e-29
relative error = 3.1817736106729160174811750680051e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.633
y[1] (analytic) = 13.20520017699264276855771490201
y[1] (numeric) = 13.205200176992642768557714902052
absolute error = 4.2e-29
relative error = 3.1805651892484295320966398704859e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.634
y[1] (analytic) = 13.210215444815275750999248405581
y[1] (numeric) = 13.210215444815275750999248405623
absolute error = 4.2e-29
relative error = 3.1793576853800740159492987012108e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.635
y[1] (analytic) = 13.215230712637908733440781909152
y[1] (numeric) = 13.215230712637908733440781909194
absolute error = 4.2e-29
relative error = 3.1781510980231935324517847358592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.636
y[1] (analytic) = 13.220245980460541715882315412723
y[1] (numeric) = 13.220245980460541715882315412765
absolute error = 4.2e-29
relative error = 3.1769454261347173588810518888426e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.637
y[1] (analytic) = 13.225261248283174698323848916293
y[1] (numeric) = 13.225261248283174698323848916336
absolute error = 4.3e-29
relative error = 3.2513535417368035754415142522757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.638
y[1] (analytic) = 13.230276516105807680765382419864
y[1] (numeric) = 13.230276516105807680765382419907
absolute error = 4.3e-29
relative error = 3.2501210347080936423196637919830e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.639
y[1] (analytic) = 13.235291783928440663206915923435
y[1] (numeric) = 13.235291783928440663206915923478
absolute error = 4.3e-29
relative error = 3.2488894617506445731107514525392e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 13.240307051751073645648449427006
y[1] (numeric) = 13.240307051751073645648449427049
absolute error = 4.3e-29
relative error = 3.2476588218030117531966943497162e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.641
y[1] (analytic) = 13.245322319573706628089982930577
y[1] (numeric) = 13.24532231957370662808998293062
absolute error = 4.3e-29
relative error = 3.2464291138053582084207773885841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.642
y[1] (analytic) = 13.250337587396339610531516434148
y[1] (numeric) = 13.250337587396339610531516434191
absolute error = 4.3e-29
relative error = 3.2452003366994515626189527188685e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.643
y[1] (analytic) = 13.255352855218972592973049937718
y[1] (numeric) = 13.255352855218972592973049937762
absolute error = 4.4e-29
relative error = 3.3194137101130484672221314368191e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.644
y[1] (analytic) = 13.260368123041605575414583441289
y[1] (numeric) = 13.260368123041605575414583441333
absolute error = 4.4e-29
relative error = 3.3181582586341857408729551389988e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.645
y[1] (analytic) = 13.26538339086423855785611694486
y[1] (numeric) = 13.265383390864238557856116944904
absolute error = 4.4e-29
relative error = 3.3169037564570083549595816209877e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.646
y[1] (analytic) = 13.270398658686871540297650448431
y[1] (numeric) = 13.270398658686871540297650448475
absolute error = 4.4e-29
relative error = 3.3156502025052105437899067980017e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.647
y[1] (analytic) = 13.275413926509504522739183952002
y[1] (numeric) = 13.275413926509504522739183952046
absolute error = 4.4e-29
relative error = 3.3143975957041129954167334293587e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.648
y[1] (analytic) = 13.280429194332137505180717455573
y[1] (numeric) = 13.280429194332137505180717455617
absolute error = 4.4e-29
relative error = 3.3131459349806597805393101916587e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.649
y[1] (analytic) = 13.285444462154770487622250959144
y[1] (numeric) = 13.285444462154770487622250959188
absolute error = 4.4e-29
relative error = 3.3118952192634152883609261561012e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 13.290459729977403470063784462714
y[1] (numeric) = 13.290459729977403470063784462759
absolute error = 4.5e-29
relative error = 3.3858873894708011959610995063299e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.651
y[1] (analytic) = 13.295474997800036452505317966285
y[1] (numeric) = 13.29547499780003645250531796633
absolute error = 4.5e-29
relative error = 3.3846101780828454052421402081382e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.652
y[1] (analytic) = 13.300490265622669434946851469856
y[1] (numeric) = 13.300490265622669434946851469901
absolute error = 4.5e-29
relative error = 3.3833339299010645434754576514985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.653
y[1] (analytic) = 13.305505533445302417388384973427
y[1] (numeric) = 13.305505533445302417388384973472
absolute error = 4.5e-29
relative error = 3.3820586438362695700327605321425e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.654
y[1] (analytic) = 13.310520801267935399829918476998
y[1] (numeric) = 13.310520801267935399829918477043
absolute error = 4.5e-29
relative error = 3.3807843188009130253567873744438e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.655
y[1] (analytic) = 13.315536069090568382271451980569
y[1] (numeric) = 13.315536069090568382271451980614
absolute error = 4.5e-29
relative error = 3.3795109537090859394715305807058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.656
y[1] (analytic) = 13.320551336913201364712985484139
y[1] (numeric) = 13.320551336913201364712985484185
absolute error = 4.6e-29
relative error = 3.4533105151982150751979420165798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.657
y[1] (analytic) = 13.32556660473583434715451898771
y[1] (numeric) = 13.325566604735834347154518987756
absolute error = 4.6e-29
relative error = 3.4520108123321261722716349251170e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.658
y[1] (analytic) = 13.330581872558467329596052491281
y[1] (numeric) = 13.330581872558467329596052491327
absolute error = 4.6e-29
relative error = 3.4507120874215422271353401038509e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.659
y[1] (analytic) = 13.335597140381100312037585994852
y[1] (numeric) = 13.335597140381100312037585994898
absolute error = 4.6e-29
relative error = 3.4494143393630911018148679939961e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 13.340612408203733294479119498423
y[1] (numeric) = 13.340612408203733294479119498469
absolute error = 4.6e-29
relative error = 3.4481175670550598645585466150510e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.661
y[1] (analytic) = 13.345627676026366276920653001994
y[1] (numeric) = 13.34562767602636627692065300204
absolute error = 4.6e-29
relative error = 3.4468217693973916722005764735195e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.662
y[1] (analytic) = 13.350642943848999259362186505564
y[1] (numeric) = 13.350642943848999259362186505611
absolute error = 4.7e-29
relative error = 3.5204297049719366304111774231021e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.663
y[1] (analytic) = 13.355658211671632241803720009135
y[1] (numeric) = 13.355658211671632241803720009182
absolute error = 4.7e-29
relative error = 3.5191077261116392452702043936529e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.664
y[1] (analytic) = 13.360673479494265224245253512706
y[1] (numeric) = 13.360673479494265224245253512753
absolute error = 4.7e-29
relative error = 3.5177867397279637050129708334450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.665
y[1] (analytic) = 13.365688747316898206686787016277
y[1] (numeric) = 13.365688747316898206686787016324
absolute error = 4.7e-29
relative error = 3.5164667447036755385195325704680e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.666
y[1] (analytic) = 13.370704015139531189128320519848
y[1] (numeric) = 13.370704015139531189128320519895
absolute error = 4.7e-29
relative error = 3.5151477399232165454443189423470e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.667
y[1] (analytic) = 13.375719282962164171569854023419
y[1] (numeric) = 13.375719282962164171569854023466
absolute error = 4.7e-29
relative error = 3.5138297242727016536012577053982e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.668
y[1] (analytic) = 13.380734550784797154011387526989
y[1] (numeric) = 13.380734550784797154011387527037
absolute error = 4.8e-29
relative error = 3.5872470093343820766804252640777e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=171.6MB, alloc=4.0MB, time=10.77
x[1] = 2.669
y[1] (analytic) = 13.38574981860743013645292103056
y[1] (numeric) = 13.385749818607430136452921030608
absolute error = 4.8e-29
relative error = 3.5859029677422747772886379185310e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 13.390765086430063118894454534131
y[1] (numeric) = 13.390765086430063118894454534179
absolute error = 4.8e-29
relative error = 3.5845599329228956481585672676251e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.671
y[1] (analytic) = 13.395780354252696101335988037702
y[1] (numeric) = 13.39578035425269610133598803775
absolute error = 4.8e-29
relative error = 3.5832179037454628905216677665889e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.672
y[1] (analytic) = 13.400795622075329083777521541273
y[1] (numeric) = 13.400795622075329083777521541321
absolute error = 4.8e-29
relative error = 3.5818768790808874927332988789517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.673
y[1] (analytic) = 13.405810889897962066219055044844
y[1] (numeric) = 13.405810889897962066219055044892
absolute error = 4.8e-29
relative error = 3.5805368578017700638171996275940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.674
y[1] (analytic) = 13.410826157720595048660588548414
y[1] (numeric) = 13.410826157720595048660588548463
absolute error = 4.9e-29
relative error = 3.6537644604236976256590108110774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.675
y[1] (analytic) = 13.415841425543228031102122051985
y[1] (numeric) = 13.415841425543228031102122052034
absolute error = 4.9e-29
relative error = 3.6523985671674644676681102462882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.676
y[1] (analytic) = 13.420856693365861013543655555556
y[1] (numeric) = 13.420856693365861013543655555605
absolute error = 4.9e-29
relative error = 3.6510336947582090624111341213829e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.677
y[1] (analytic) = 13.425871961188493995985189059127
y[1] (numeric) = 13.425871961188493995985189059176
absolute error = 4.9e-29
relative error = 3.6496698420519116365379883858127e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.678
y[1] (analytic) = 13.430887229011126978426722562698
y[1] (numeric) = 13.430887229011126978426722562747
absolute error = 4.9e-29
relative error = 3.6483070079062611840971601601272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.679
y[1] (analytic) = 13.435902496833759960868256066269
y[1] (numeric) = 13.435902496833759960868256066318
absolute error = 4.9e-29
relative error = 3.6469451911806522773468439375963e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 13.440917764656392943309789569839
y[1] (numeric) = 13.440917764656392943309789569889
absolute error = 5.0e-29
relative error = 3.7199840721797774333735131392100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.681
y[1] (analytic) = 13.44593303247902592575132307341
y[1] (numeric) = 13.44593303247902592575132307346
absolute error = 5.0e-29
relative error = 3.7185965361588226488030642346447e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.682
y[1] (analytic) = 13.450948300301658908192856576981
y[1] (numeric) = 13.450948300301658908192856577031
absolute error = 5.0e-29
relative error = 3.7172100348403443405820340093521e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.683
y[1] (analytic) = 13.455963568124291890634390080552
y[1] (numeric) = 13.455963568124291890634390080602
absolute error = 5.0e-29
relative error = 3.7158245670673885655762263187038e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.684
y[1] (analytic) = 13.460978835946924873075923584123
y[1] (numeric) = 13.460978835946924873075923584173
absolute error = 5.0e-29
relative error = 3.7144401316847256041136420316998e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.685
y[1] (analytic) = 13.465994103769557855517457087694
y[1] (numeric) = 13.465994103769557855517457087744
absolute error = 5.0e-29
relative error = 3.7130567275388467491400429099002e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.686
y[1] (analytic) = 13.471009371592190837958990591264
y[1] (numeric) = 13.471009371592190837958990591315
absolute error = 5.1e-29
relative error = 3.7859078405475203245978538783858e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.687
y[1] (analytic) = 13.476024639414823820400524094835
y[1] (numeric) = 13.476024639414823820400524094886
absolute error = 5.1e-29
relative error = 3.7844988685190322262262134415125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.688
y[1] (analytic) = 13.481039907237456802842057598406
y[1] (numeric) = 13.481039907237456802842057598457
absolute error = 5.1e-29
relative error = 3.7830909448328272291182423799643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.689
y[1] (analytic) = 13.486055175060089785283591101977
y[1] (numeric) = 13.486055175060089785283591102028
absolute error = 5.1e-29
relative error = 3.7816840683193155789772538182759e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 13.491070442882722767725124605548
y[1] (numeric) = 13.491070442882722767725124605599
absolute error = 5.1e-29
relative error = 3.7802782378106466884274481477115e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.691
y[1] (analytic) = 13.496085710705355750166658109119
y[1] (numeric) = 13.49608571070535575016665810917
absolute error = 5.1e-29
relative error = 3.7788734521407059055629266136543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.692
y[1] (analytic) = 13.501100978527988732608191612689
y[1] (numeric) = 13.501100978527988732608191612741
absolute error = 5.2e-29
relative error = 3.8515377436773683738107933958418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.693
y[1] (analytic) = 13.50611624635062171504972511626
y[1] (numeric) = 13.506116246350621715049725116312
absolute error = 5.2e-29
relative error = 3.8501075402820184412546066920185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.694
y[1] (analytic) = 13.511131514173254697491258619831
y[1] (numeric) = 13.511131514173254697491258619883
absolute error = 5.2e-29
relative error = 3.8486783986560785680395901342263e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.695
y[1] (analytic) = 13.516146781995887679932792123402
y[1] (numeric) = 13.516146781995887679932792123454
absolute error = 5.2e-29
relative error = 3.8472503176176162012239910284251e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.696
y[1] (analytic) = 13.521162049818520662374325626973
y[1] (numeric) = 13.521162049818520662374325627025
absolute error = 5.2e-29
relative error = 3.8458232959864523969950503789338e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.697
y[1] (analytic) = 13.526177317641153644815859130544
y[1] (numeric) = 13.526177317641153644815859130596
absolute error = 5.2e-29
relative error = 3.8443973325841585696324270751225e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.698
y[1] (analytic) = 13.531192585463786627257392634114
y[1] (numeric) = 13.531192585463786627257392634167
absolute error = 5.3e-29
relative error = 3.9168757421231696563111475633312e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.699
y[1] (analytic) = 13.536207853286419609698926137685
y[1] (numeric) = 13.536207853286419609698926137738
absolute error = 5.3e-29
relative error = 3.9154245099104526612550856338894e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 13.541223121109052592140459641256
y[1] (numeric) = 13.541223121109052592140459641309
absolute error = 5.3e-29
relative error = 3.9139743526845599010101763429139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.701
y[1] (analytic) = 13.546238388931685574581993144827
y[1] (numeric) = 13.54623838893168557458199314488
absolute error = 5.3e-29
relative error = 3.9125252692515037884959185952859e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.702
y[1] (analytic) = 13.551253656754318557023526648398
y[1] (numeric) = 13.551253656754318557023526648451
absolute error = 5.3e-29
relative error = 3.9110772584190642978266010828524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.703
y[1] (analytic) = 13.556268924576951539465060151969
y[1] (numeric) = 13.556268924576951539465060152022
absolute error = 5.3e-29
relative error = 3.9096303189967856946827510639538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.704
y[1] (analytic) = 13.561284192399584521906593655539
y[1] (numeric) = 13.561284192399584521906593655593
absolute error = 5.4e-29
relative error = 3.9819237790374067319365001590715e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.705
y[1] (analytic) = 13.56629946022221750434812715911
y[1] (numeric) = 13.566299460222217504348127159164
absolute error = 5.4e-29
relative error = 3.9804517184906276536622167948722e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.706
y[1] (analytic) = 13.571314728044850486789660662681
y[1] (numeric) = 13.571314728044850486789660662735
absolute error = 5.4e-29
relative error = 3.9789807459412963056749062934697e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.707
y[1] (analytic) = 13.576329995867483469231194166252
y[1] (numeric) = 13.576329995867483469231194166306
absolute error = 5.4e-29
relative error = 3.9775108601836526794075716402397e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.708
y[1] (analytic) = 13.581345263690116451672727669823
y[1] (numeric) = 13.581345263690116451672727669877
absolute error = 5.4e-29
relative error = 3.9760420600137178002792822858674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.709
y[1] (analytic) = 13.586360531512749434114261173394
y[1] (numeric) = 13.586360531512749434114261173448
absolute error = 5.4e-29
relative error = 3.9745743442292904404416007494015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 13.591375799335382416555794676964
y[1] (numeric) = 13.591375799335382416555794677019
absolute error = 5.5e-29
relative error = 4.0466837803638316876697847728380e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.711
y[1] (analytic) = 13.596391067158015398997328180535
y[1] (numeric) = 13.59639106715801539899732818059
absolute error = 5.5e-29
relative error = 4.0451910899247450658742592159317e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.712
y[1] (analytic) = 13.601406334980648381438861684106
y[1] (numeric) = 13.601406334980648381438861684161
absolute error = 5.5e-29
relative error = 4.0436995002898170625313852265453e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.713
y[1] (analytic) = 13.606421602803281363880395187677
y[1] (numeric) = 13.606421602803281363880395187732
absolute error = 5.5e-29
relative error = 4.0422090102417928026484027771436e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.714
y[1] (analytic) = 13.611436870625914346321928691248
y[1] (numeric) = 13.611436870625914346321928691303
absolute error = 5.5e-29
relative error = 4.0407196185652114493681343899744e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.715
y[1] (analytic) = 13.616452138448547328763462194819
y[1] (numeric) = 13.616452138448547328763462194874
absolute error = 5.5e-29
relative error = 4.0392313240464029000313505467368e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.716
y[1] (analytic) = 13.621467406271180311204995698389
y[1] (numeric) = 13.621467406271180311204995698445
absolute error = 5.6e-29
relative error = 4.1111576550275478438932021497248e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.717
y[1] (analytic) = 13.62648267409381329364652920196
y[1] (numeric) = 13.626482674093813293646529202016
absolute error = 5.6e-29
relative error = 4.1096445311206551137335064551537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.718
y[1] (analytic) = 13.631497941916446276088062705531
y[1] (numeric) = 13.631497941916446276088062705587
absolute error = 5.6e-29
relative error = 4.1081325206235540632869525528522e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.719
y[1] (analytic) = 13.636513209739079258529596209102
y[1] (numeric) = 13.636513209739079258529596209158
absolute error = 5.6e-29
relative error = 4.1066216223077675410128492234837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 13.641528477561712240971129712673
y[1] (numeric) = 13.641528477561712240971129712729
absolute error = 5.6e-29
relative error = 4.1051118349466249794168886171515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.721
y[1] (analytic) = 13.646543745384345223412663216244
y[1] (numeric) = 13.6465437453843452234126632163
absolute error = 5.6e-29
relative error = 4.1036031573152590753450705764983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.722
y[1] (analytic) = 13.651559013206978205854196719815
y[1] (numeric) = 13.651559013206978205854196719871
absolute error = 5.6e-29
relative error = 4.1020955881906024775951274939941e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.723
y[1] (analytic) = 13.656574281029611188295730223385
y[1] (numeric) = 13.656574281029611188295730223442
absolute error = 5.7e-29
relative error = 4.1738139321790877761449714810555e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.724
y[1] (analytic) = 13.661589548852244170737263726956
y[1] (numeric) = 13.661589548852244170737263727013
absolute error = 5.7e-29
relative error = 4.1722816950527371565502046045940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.725
y[1] (analytic) = 13.666604816674877153178797230527
y[1] (numeric) = 13.666604816674877153178797230584
absolute error = 5.7e-29
relative error = 4.1707505825040939502542228781335e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.726
y[1] (analytic) = 13.671620084497510135620330734098
y[1] (numeric) = 13.671620084497510135620330734155
absolute error = 5.7e-29
relative error = 4.1692205932955451263546431925582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=175.4MB, alloc=4.0MB, time=11.01
TOP MAIN SOLVE Loop
x[1] = 2.727
y[1] (analytic) = 13.676635352320143118061864237669
y[1] (numeric) = 13.676635352320143118061864237726
absolute error = 5.7e-29
relative error = 4.1676917261912930012624706061289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.728
y[1] (analytic) = 13.68165062014277610050339774124
y[1] (numeric) = 13.681650620142776100503397741297
absolute error = 5.7e-29
relative error = 4.1661639799573519114526236594258e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.729
y[1] (analytic) = 13.68666588796540908294493124481
y[1] (numeric) = 13.686665887965409082944931244868
absolute error = 5.8e-29
relative error = 4.2377011665784141021881926153081e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 13.691681155788042065386464748381
y[1] (numeric) = 13.691681155788042065386464748439
absolute error = 5.8e-29
relative error = 4.2361488950888249395133984055589e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.731
y[1] (analytic) = 13.696696423610675047827998251952
y[1] (numeric) = 13.69669642361067504782799825201
absolute error = 5.8e-29
relative error = 4.2345977603780637440027746785703e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.732
y[1] (analytic) = 13.701711691433308030269531755523
y[1] (numeric) = 13.701711691433308030269531755581
absolute error = 5.8e-29
relative error = 4.2330477611978375127641206614844e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.733
y[1] (analytic) = 13.706726959255941012711065259094
y[1] (numeric) = 13.706726959255941012711065259152
absolute error = 5.8e-29
relative error = 4.2314988963016802359574012613155e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.734
y[1] (analytic) = 13.711742227078573995152598762665
y[1] (numeric) = 13.711742227078573995152598762723
absolute error = 5.8e-29
relative error = 4.2299511644449495555492237187912e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.735
y[1] (analytic) = 13.716757494901206977594132266235
y[1] (numeric) = 13.716757494901206977594132266294
absolute error = 5.9e-29
relative error = 4.3013080913569755595248255763940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.736
y[1] (analytic) = 13.721772762723839960035665769806
y[1] (numeric) = 13.721772762723839960035665769865
absolute error = 5.9e-29
relative error = 4.2997359758265088286916659179230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.737
y[1] (analytic) = 13.726788030546472942477199273377
y[1] (numeric) = 13.726788030546472942477199273436
absolute error = 5.9e-29
relative error = 4.2981650090834227823530865734151e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.738
y[1] (analytic) = 13.731803298369105924918732776948
y[1] (numeric) = 13.731803298369105924918732777007
absolute error = 5.9e-29
relative error = 4.2965951898690022481009488500501e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.739
y[1] (analytic) = 13.736818566191738907360266280519
y[1] (numeric) = 13.736818566191738907360266280578
absolute error = 5.9e-29
relative error = 4.2950265169263702648048185291847e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 13.74183383401437188980179978409
y[1] (numeric) = 13.741833834014371889801799784149
absolute error = 5.9e-29
relative error = 4.2934589890004847282118240698674e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.741
y[1] (analytic) = 13.74684910183700487224333328766
y[1] (numeric) = 13.74684910183700487224333328772
absolute error = 6.0e-29
relative error = 4.3646365472930186887009187361179e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.742
y[1] (analytic) = 13.751864369659637854684866791231
y[1] (numeric) = 13.751864369659637854684866791291
absolute error = 6.0e-29
relative error = 4.3630447761233275804993502026619e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.743
y[1] (analytic) = 13.756879637482270837126400294802
y[1] (numeric) = 13.756879637482270837126400294862
absolute error = 6.0e-29
relative error = 4.3614541655596661413522487261024e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.744
y[1] (analytic) = 13.761894905304903819567933798373
y[1] (numeric) = 13.761894905304903819567933798433
absolute error = 6.0e-29
relative error = 4.3598647143331502280354293934762e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.745
y[1] (analytic) = 13.766910173127536802009467301944
y[1] (numeric) = 13.766910173127536802009467302004
absolute error = 6.0e-29
relative error = 4.3582764211767447088266733171944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.746
y[1] (analytic) = 13.771925440950169784451000805515
y[1] (numeric) = 13.771925440950169784451000805575
absolute error = 6.0e-29
relative error = 4.3566892848252600967695623655129e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.747
y[1] (analytic) = 13.776940708772802766892534309085
y[1] (numeric) = 13.776940708772802766892534309146
absolute error = 6.1e-29
relative error = 4.4276883590822716767957912486206e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.748
y[1] (analytic) = 13.781955976595435749334067812656
y[1] (numeric) = 13.781955976595435749334067812717
absolute error = 6.1e-29
relative error = 4.4260771187769287831725031149784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.749
y[1] (analytic) = 13.786971244418068731775601316227
y[1] (numeric) = 13.786971244418068731775601316288
absolute error = 6.1e-29
relative error = 4.4244670507089851932186389814334e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 13.791986512240701714217134819798
y[1] (numeric) = 13.791986512240701714217134819859
absolute error = 6.1e-29
relative error = 4.4228581535996364713301958399856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.751
y[1] (analytic) = 13.797001780063334696658668323369
y[1] (numeric) = 13.79700178006333469665866832343
absolute error = 6.1e-29
relative error = 4.4212504261719375849356737767940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.752
y[1] (analytic) = 13.80201704788596767910020182694
y[1] (numeric) = 13.802017047885967679100201827001
absolute error = 6.1e-29
relative error = 4.4196438671507995262202174999855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.753
y[1] (analytic) = 13.80703231570860066154173533051
y[1] (numeric) = 13.807032315708600661541735330572
absolute error = 6.2e-29
relative error = 4.4904653355131988254946817523511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.754
y[1] (analytic) = 13.812047583531233643983268834081
y[1] (numeric) = 13.812047583531233643983268834143
absolute error = 6.2e-29
relative error = 4.4888348107000132050061215919471e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.755
y[1] (analytic) = 13.817062851353866626424802337652
y[1] (numeric) = 13.817062851353866626424802337714
absolute error = 6.2e-29
relative error = 4.4872054695709024924090231812059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.756
y[1] (analytic) = 13.822078119176499608866335841223
y[1] (numeric) = 13.822078119176499608866335841285
absolute error = 6.2e-29
relative error = 4.4855773108373861997775249870182e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.757
y[1] (analytic) = 13.827093386999132591307869344794
y[1] (numeric) = 13.827093386999132591307869344856
absolute error = 6.2e-29
relative error = 4.4839503332128532341628069873855e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.758
y[1] (analytic) = 13.832108654821765573749402848365
y[1] (numeric) = 13.832108654821765573749402848427
absolute error = 6.2e-29
relative error = 4.4823245354125585085521605744096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.759
y[1] (analytic) = 13.837123922644398556190936351935
y[1] (numeric) = 13.837123922644398556190936351998
absolute error = 6.3e-29
relative error = 4.5529692696399682627820511665401e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 13.842139190467031538632469855506
y[1] (numeric) = 13.842139190467031538632469855569
absolute error = 6.3e-29
relative error = 4.5513196430929972597882895537986e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.761
y[1] (analytic) = 13.847154458289664521074003359077
y[1] (numeric) = 13.84715445828966452107400335914
absolute error = 6.3e-29
relative error = 4.5496712114946296403533789092662e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.762
y[1] (analytic) = 13.852169726112297503515536862648
y[1] (numeric) = 13.852169726112297503515536862711
absolute error = 6.3e-29
relative error = 4.5480239735469487462040836960477e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.763
y[1] (analytic) = 13.857184993934930485957070366219
y[1] (numeric) = 13.857184993934930485957070366282
absolute error = 6.3e-29
relative error = 4.5463779279539169153151209440766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.764
y[1] (analytic) = 13.86220026175756346839860386979
y[1] (numeric) = 13.862200261757563468398603869853
absolute error = 6.3e-29
relative error = 4.5447330734213720828566133026351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.765
y[1] (analytic) = 13.86721552958019645084013737336
y[1] (numeric) = 13.867215529580196450840137373424
absolute error = 6.4e-29
relative error = 4.6152019389531676337954790136513e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.766
y[1] (analytic) = 13.872230797402829433281670876931
y[1] (numeric) = 13.872230797402829433281670876995
absolute error = 6.4e-29
relative error = 4.6135333916144282384108819496550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.767
y[1] (analytic) = 13.877246065225462415723204380502
y[1] (numeric) = 13.877246065225462415723204380566
absolute error = 6.4e-29
relative error = 4.6118660503091826915231295528535e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.768
y[1] (analytic) = 13.882261333048095398164737884073
y[1] (numeric) = 13.882261333048095398164737884137
absolute error = 6.4e-29
relative error = 4.6101999137303137671403538557606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.769
y[1] (analytic) = 13.887276600870728380606271387644
y[1] (numeric) = 13.887276600870728380606271387708
absolute error = 6.4e-29
relative error = 4.6085349805725924548373056961882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 13.892291868693361363047804891215
y[1] (numeric) = 13.892291868693361363047804891279
absolute error = 6.4e-29
relative error = 4.6068712495326745514240070298719e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.771
y[1] (analytic) = 13.897307136515994345489338394785
y[1] (numeric) = 13.89730713651599434548933839485
absolute error = 6.5e-29
relative error = 4.6771651055483019046818187574910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.772
y[1] (analytic) = 13.902322404338627327930871898356
y[1] (numeric) = 13.902322404338627327930871898421
absolute error = 6.5e-29
relative error = 4.6754778165491863556541557637112e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.773
y[1] (analytic) = 13.907337672161260310372405401927
y[1] (numeric) = 13.907337672161260310372405401992
absolute error = 6.5e-29
relative error = 4.6737917444912890652265848456571e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.774
y[1] (analytic) = 13.912352939983893292813938905498
y[1] (numeric) = 13.912352939983893292813938905563
absolute error = 6.5e-29
relative error = 4.6721068880585236401850467833479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.775
y[1] (analytic) = 13.917368207806526275255472409069
y[1] (numeric) = 13.917368207806526275255472409134
absolute error = 6.5e-29
relative error = 4.6704232459367007487831782980205e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.776
y[1] (analytic) = 13.92238347562915925769700591264
y[1] (numeric) = 13.922383475629159257697005912705
absolute error = 6.5e-29
relative error = 4.6687408168135247038448558274520e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.777
y[1] (analytic) = 13.92739874345179224013853941621
y[1] (numeric) = 13.927398743451792240138539416276
absolute error = 6.6e-29
relative error = 4.7388605162921068232992942316418e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.778
y[1] (analytic) = 13.932414011274425222580072919781
y[1] (numeric) = 13.932414011274425222580072919847
absolute error = 6.6e-29
relative error = 4.7371546629745070728229445936893e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.779
y[1] (analytic) = 13.937429279097058205021606423352
y[1] (numeric) = 13.937429279097058205021606423418
absolute error = 6.6e-29
relative error = 4.7354500373311193408787837644005e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 13.942444546919691187463139926923
y[1] (numeric) = 13.942444546919691187463139926989
absolute error = 6.6e-29
relative error = 4.7337466380371153411158777270751e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.781
y[1] (analytic) = 13.947459814742324169904673430494
y[1] (numeric) = 13.94745981474232416990467343056
absolute error = 6.6e-29
relative error = 4.7320444637695723294865660126820e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.782
y[1] (analytic) = 13.952475082564957152346206934065
y[1] (numeric) = 13.952475082564957152346206934131
absolute error = 6.6e-29
relative error = 4.7303435132074696794759669594782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.783
y[1] (analytic) = 13.957490350387590134787740437635
y[1] (numeric) = 13.957490350387590134787740437702
absolute error = 6.7e-29
relative error = 4.8002899029867110020592743031013e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.784
y[1] (analytic) = 13.962505618210223117229273941206
y[1] (numeric) = 13.962505618210223117229273941273
absolute error = 6.7e-29
relative error = 4.7985656609238565800039369200900e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=179.2MB, alloc=4.0MB, time=11.25
TOP MAIN SOLVE Loop
x[1] = 2.785
y[1] (analytic) = 13.967520886032856099670807444777
y[1] (numeric) = 13.967520886032856099670807444844
absolute error = 6.7e-29
relative error = 4.7968426570958767392211706949840e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.786
y[1] (analytic) = 13.972536153855489082112340948348
y[1] (numeric) = 13.972536153855489082112340948415
absolute error = 6.7e-29
relative error = 4.7951208901694245221575593630762e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.787
y[1] (analytic) = 13.977551421678122064553874451919
y[1] (numeric) = 13.977551421678122064553874451986
absolute error = 6.7e-29
relative error = 4.7934003588130666375066237479477e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.788
y[1] (analytic) = 13.98256668950075504699540795549
y[1] (numeric) = 13.982566689500755046995407955557
absolute error = 6.7e-29
relative error = 4.7916810616972800282392253893580e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.789
y[1] (analytic) = 13.98758195732338802943694145906
y[1] (numeric) = 13.987581957323388029436941459128
absolute error = 6.8e-29
relative error = 4.8614549825316790208532738220841e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.79
y[1] (analytic) = 13.992597225146021011878474962631
y[1] (numeric) = 13.992597225146021011878474962699
absolute error = 6.8e-29
relative error = 4.8597125255486927559712475590654e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.791
y[1] (analytic) = 13.997612492968653994320008466202
y[1] (numeric) = 13.99761249296865399432000846627
absolute error = 6.8e-29
relative error = 4.8579713171912765278250736975250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.792
y[1] (analytic) = 14.002627760791286976761541969773
y[1] (numeric) = 14.002627760791286976761541969841
absolute error = 6.8e-29
relative error = 4.8562313561177839502721277542235e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.793
y[1] (analytic) = 14.007643028613919959203075473344
y[1] (numeric) = 14.007643028613919959203075473412
absolute error = 6.8e-29
relative error = 4.8544926409884900784675190439641e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.794
y[1] (analytic) = 14.012658296436552941644608976915
y[1] (numeric) = 14.012658296436552941644608976983
absolute error = 6.8e-29
relative error = 4.8527551704655879703506731173199e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.795
y[1] (analytic) = 14.017673564259185924086142480486
y[1] (numeric) = 14.017673564259185924086142480554
absolute error = 6.8e-29
relative error = 4.8510189432131852555133383505515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.796
y[1] (analytic) = 14.022688832081818906527675984056
y[1] (numeric) = 14.022688832081818906527675984125
absolute error = 6.9e-29
relative error = 4.9205969572781433689515740322082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.797
y[1] (analytic) = 14.027704099904451888969209487627
y[1] (numeric) = 14.027704099904451888969209487696
absolute error = 6.9e-29
relative error = 4.9188377163209470359630321752070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.798
y[1] (analytic) = 14.032719367727084871410742991198
y[1] (numeric) = 14.032719367727084871410742991267
absolute error = 6.9e-29
relative error = 4.9170797328626479126478202266096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.799
y[1] (analytic) = 14.037734635549717853852276494769
y[1] (numeric) = 14.037734635549717853852276494838
absolute error = 6.9e-29
relative error = 4.9153230055554443942796002122378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 14.04274990337235083629380999834
y[1] (numeric) = 14.042749903372350836293809998409
absolute error = 6.9e-29
relative error = 4.9135675330534603069959289264476e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.801
y[1] (analytic) = 14.047765171194983818735343501911
y[1] (numeric) = 14.04776517119498381873534350198
absolute error = 6.9e-29
relative error = 4.9118133140127414707563730789194e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.802
y[1] (analytic) = 14.052780439017616801176877005481
y[1] (numeric) = 14.052780439017616801176877005551
absolute error = 7.0e-29
relative error = 4.9812206419766327373366956810548e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.803
y[1] (analytic) = 14.057795706840249783618410509052
y[1] (numeric) = 14.057795706840249783618410509122
absolute error = 7.0e-29
relative error = 4.9794435386437834213404999280469e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.804
y[1] (analytic) = 14.062810974662882766059944012623
y[1] (numeric) = 14.062810974662882766059944012693
absolute error = 7.0e-29
relative error = 4.9776677028596736554983670821381e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.805
y[1] (analytic) = 14.067826242485515748501477516194
y[1] (numeric) = 14.067826242485515748501477516264
absolute error = 7.0e-29
relative error = 4.9758931332686363386871377177594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.806
y[1] (analytic) = 14.072841510308148730943011019765
y[1] (numeric) = 14.072841510308148730943011019835
absolute error = 7.0e-29
relative error = 4.9741198285169368959434858511458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.807
y[1] (analytic) = 14.077856778130781713384544523336
y[1] (numeric) = 14.077856778130781713384544523406
absolute error = 7.0e-29
relative error = 4.9723477872527698361301821511631e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.808
y[1] (analytic) = 14.082872045953414695826078026906
y[1] (numeric) = 14.082872045953414695826078026977
absolute error = 7.1e-29
relative error = 5.0415852510994875357714535621714e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.809
y[1] (analytic) = 14.087887313776047678267611530477
y[1] (numeric) = 14.087887313776047678267611530548
absolute error = 7.1e-29
relative error = 5.0397904539292847990196659318537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 14.092902581598680660709145034048
y[1] (numeric) = 14.092902581598680660709145034119
absolute error = 7.1e-29
relative error = 5.0379969341947903916178795738708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.811
y[1] (analytic) = 14.097917849421313643150678537619
y[1] (numeric) = 14.09791784942131364315067853769
absolute error = 7.1e-29
relative error = 5.0362046905326791179104381368114e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.812
y[1] (analytic) = 14.10293311724394662559221204119
y[1] (numeric) = 14.102933117243946625592212041261
absolute error = 7.1e-29
relative error = 5.0344137215815650783948227605180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.813
y[1] (analytic) = 14.107948385066579608033745544761
y[1] (numeric) = 14.107948385066579608033745544832
absolute error = 7.1e-29
relative error = 5.0326240259819982226968509074214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.814
y[1] (analytic) = 14.112963652889212590475279048331
y[1] (numeric) = 14.112963652889212590475279048403
absolute error = 7.2e-29
relative error = 5.1016924418465519086265323052022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.815
y[1] (analytic) = 14.117978920711845572916812551902
y[1] (numeric) = 14.117978920711845572916812551974
absolute error = 7.2e-29
relative error = 5.0998801177109048209147644429268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.816
y[1] (analytic) = 14.122994188534478555358346055473
y[1] (numeric) = 14.122994188534478555358346055545
absolute error = 7.2e-29
relative error = 5.0980690807372858916459736885080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.817
y[1] (analytic) = 14.128009456357111537799879559044
y[1] (numeric) = 14.128009456357111537799879559116
absolute error = 7.2e-29
relative error = 5.0962593295549155381168128884766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.818
y[1] (analytic) = 14.133024724179744520241413062615
y[1] (numeric) = 14.133024724179744520241413062687
absolute error = 7.2e-29
relative error = 5.0944508627949599257895890372031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.819
y[1] (analytic) = 14.138039992002377502682946566186
y[1] (numeric) = 14.138039992002377502682946566258
absolute error = 7.2e-29
relative error = 5.0926436790905275171603625068599e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 14.143055259825010485124480069756
y[1] (numeric) = 14.143055259825010485124480069829
absolute error = 7.3e-29
relative error = 5.1615438573138415394694617769861e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.821
y[1] (analytic) = 14.148070527647643467566013573327
y[1] (numeric) = 14.1480705276476434675660135734
absolute error = 7.3e-29
relative error = 5.1597141714374452822771649099966e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.822
y[1] (analytic) = 14.153085795470276450007547076898
y[1] (numeric) = 14.153085795470276450007547076971
absolute error = 7.3e-29
relative error = 5.1578857822909401634670029096741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.823
y[1] (analytic) = 14.158101063292909432449080580469
y[1] (numeric) = 14.158101063292909432449080580542
absolute error = 7.3e-29
relative error = 5.1560586884962922923499405636203e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.824
y[1] (analytic) = 14.16311633111554241489061408404
y[1] (numeric) = 14.163116331115542414890614084113
absolute error = 7.3e-29
relative error = 5.1542328886774196676005248622875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.825
y[1] (analytic) = 14.168131598938175397332147587611
y[1] (numeric) = 14.168131598938175397332147587684
absolute error = 7.3e-29
relative error = 5.1524083814601887225854450304778e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.826
y[1] (analytic) = 14.173146866760808379773681091181
y[1] (numeric) = 14.173146866760808379773681091255
absolute error = 7.4e-29
relative error = 5.2211411266432658215614658582315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.827
y[1] (analytic) = 14.178162134583441362215214594752
y[1] (numeric) = 14.178162134583441362215214594826
absolute error = 7.4e-29
relative error = 5.2192942426225218294066864221302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.828
y[1] (analytic) = 14.183177402406074344656748098323
y[1] (numeric) = 14.183177402406074344656748098397
absolute error = 7.4e-29
relative error = 5.2174486647432352233849726009059e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.829
y[1] (analytic) = 14.188192670228707327098281601894
y[1] (numeric) = 14.188192670228707327098281601968
absolute error = 7.4e-29
relative error = 5.2156043916203143201600220980424e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 14.193207938051340309539815105465
y[1] (numeric) = 14.193207938051340309539815105539
absolute error = 7.4e-29
relative error = 5.2137614218706251631564319842267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.831
y[1] (analytic) = 14.198223205873973291981348609036
y[1] (numeric) = 14.19822320587397329198134860911
absolute error = 7.4e-29
relative error = 5.2119197541129880649002834741651e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.832
y[1] (analytic) = 14.203238473696606274422882112606
y[1] (numeric) = 14.203238473696606274422882112681
absolute error = 7.5e-29
relative error = 5.2804858651704467804242665323531e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.833
y[1] (analytic) = 14.208253741519239256864415616177
y[1] (numeric) = 14.208253741519239256864415616252
absolute error = 7.5e-29
relative error = 5.2786219449921303502158569783353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.834
y[1] (analytic) = 14.213269009341872239305949119748
y[1] (numeric) = 14.213269009341872239305949119823
absolute error = 7.5e-29
relative error = 5.2767593402126694714754844105941e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.835
y[1] (analytic) = 14.218284277164505221747482623319
y[1] (numeric) = 14.218284277164505221747482623394
absolute error = 7.5e-29
relative error = 5.2748980494401076833021244513663e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.836
y[1] (analytic) = 14.22329954498713820418901612689
y[1] (numeric) = 14.223299544987138204189016126965
absolute error = 7.5e-29
relative error = 5.2730380712844517920174622072014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.837
y[1] (analytic) = 14.228314812809771186630549630461
y[1] (numeric) = 14.228314812809771186630549630536
absolute error = 7.5e-29
relative error = 5.2711794043576684110544669790705e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.838
y[1] (analytic) = 14.233330080632404169072083134031
y[1] (numeric) = 14.233330080632404169072083134107
absolute error = 7.6e-29
relative error = 5.3395796745706629149366959562670e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.839
y[1] (analytic) = 14.238345348455037151513616637602
y[1] (numeric) = 14.238345348455037151513616637678
absolute error = 7.6e-29
relative error = 5.3376988786303421460339355843204e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 14.243360616277670133955150141173
y[1] (numeric) = 14.243360616277670133955150141249
absolute error = 7.6e-29
relative error = 5.3358194071942047016163180013681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.841
y[1] (analytic) = 14.248375884100303116396683644744
y[1] (numeric) = 14.24837588410030311639668364482
absolute error = 7.6e-29
relative error = 5.3339412588636189203063509763763e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.842
y[1] (analytic) = 14.253391151922936098838217148315
y[1] (numeric) = 14.253391151922936098838217148391
memory used=183.1MB, alloc=4.0MB, time=11.48
absolute error = 7.6e-29
relative error = 5.3320644322419216581950538789180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.843
y[1] (analytic) = 14.258406419745569081279750651886
y[1] (numeric) = 14.258406419745569081279750651962
absolute error = 7.6e-29
relative error = 5.3301889259344148267992765120945e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.844
y[1] (analytic) = 14.263421687568202063721284155456
y[1] (numeric) = 14.263421687568202063721284155533
absolute error = 7.7e-29
relative error = 5.3984241430029456480376805302909e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.845
y[1] (analytic) = 14.268436955390835046162817659027
y[1] (numeric) = 14.268436955390835046162817659104
absolute error = 7.7e-29
relative error = 5.3965266301231555089698289729867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.846
y[1] (analytic) = 14.273452223213468028604351162598
y[1] (numeric) = 14.273452223213468028604351162675
absolute error = 7.7e-29
relative error = 5.3946304507028733039420813169877e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.847
y[1] (analytic) = 14.278467491036101011045884666169
y[1] (numeric) = 14.278467491036101011045884666246
absolute error = 7.7e-29
relative error = 5.3927356033369783712747325002272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.848
y[1] (analytic) = 14.28348275885873399348741816974
y[1] (numeric) = 14.283482758858733993487418169817
absolute error = 7.7e-29
relative error = 5.3908420866223235333634703048268e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.849
y[1] (analytic) = 14.288498026681366975928951673311
y[1] (numeric) = 14.288498026681366975928951673388
absolute error = 7.7e-29
relative error = 5.3889498991577316332113595746390e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 14.293513294503999958370485176881
y[1] (numeric) = 14.293513294503999958370485176959
absolute error = 7.8e-29
relative error = 5.4570208452523556117361346429505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.851
y[1] (analytic) = 14.298528562326632940812018680452
y[1] (numeric) = 14.29852856232663294081201868053
absolute error = 7.8e-29
relative error = 5.4551067727005308640645330524058e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.852
y[1] (analytic) = 14.303543830149265923253552184023
y[1] (numeric) = 14.303543830149265923253552184101
absolute error = 7.8e-29
relative error = 5.4531940424155727536633884054729e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.853
y[1] (analytic) = 14.308559097971898905695085687594
y[1] (numeric) = 14.308559097971898905695085687672
absolute error = 7.8e-29
relative error = 5.4512826529860545017343090544719e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.854
y[1] (analytic) = 14.313574365794531888136619191165
y[1] (numeric) = 14.313574365794531888136619191243
absolute error = 7.8e-29
relative error = 5.4493726030025275029600503617408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.855
y[1] (analytic) = 14.318589633617164870578152694736
y[1] (numeric) = 14.318589633617164870578152694814
absolute error = 7.8e-29
relative error = 5.4474638910575178611026212722971e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.856
y[1] (analytic) = 14.323604901439797853019686198306
y[1] (numeric) = 14.323604901439797853019686198385
absolute error = 7.9e-29
relative error = 5.5153713428704655335703095366494e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.857
y[1] (analytic) = 14.328620169262430835461219701877
y[1] (numeric) = 14.328620169262430835461219701956
absolute error = 7.9e-29
relative error = 5.5134408663766361791658397048199e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.858
y[1] (analytic) = 14.333635437085063817902753205448
y[1] (numeric) = 14.333635437085063817902753205527
absolute error = 7.9e-29
relative error = 5.5115117408110740251493366118511e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.859
y[1] (analytic) = 14.338650704907696800344286709019
y[1] (numeric) = 14.338650704907696800344286709098
absolute error = 7.9e-29
relative error = 5.5095839647562258005865001877125e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 14.34366597273032978278582021259
y[1] (numeric) = 14.343665972730329782785820212669
absolute error = 7.9e-29
relative error = 5.5076575367965208265303510617727e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.861
y[1] (analytic) = 14.348681240552962765227353716161
y[1] (numeric) = 14.34868124055296276522735371624
absolute error = 7.9e-29
relative error = 5.5057324555183675511628116171513e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.862
y[1] (analytic) = 14.353696508375595747668887219731
y[1] (numeric) = 14.353696508375595747668887219811
absolute error = 8.0e-29
relative error = 5.5734771843140760427343201750288e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.863
y[1] (analytic) = 14.358711776198228730110420723302
y[1] (numeric) = 14.358711776198228730110420723382
absolute error = 8.0e-29
relative error = 5.5715304580883288977665470977758e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.864
y[1] (analytic) = 14.363727044020861712551954226873
y[1] (numeric) = 14.363727044020861712551954226953
absolute error = 8.0e-29
relative error = 5.5695850913082701237100643648505e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.865
y[1] (analytic) = 14.368742311843494694993487730444
y[1] (numeric) = 14.368742311843494694993487730524
absolute error = 8.0e-29
relative error = 5.5676410825503963819565879025940e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.866
y[1] (analytic) = 14.373757579666127677435021234015
y[1] (numeric) = 14.373757579666127677435021234095
absolute error = 8.0e-29
relative error = 5.5656984303931910796600224497319e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.867
y[1] (analytic) = 14.378772847488760659876554737586
y[1] (numeric) = 14.378772847488760659876554737666
absolute error = 8.0e-29
relative error = 5.5637571334171209048851148730141e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.868
y[1] (analytic) = 14.383788115311393642318088241157
y[1] (numeric) = 14.383788115311393642318088241237
absolute error = 8.0e-29
relative error = 5.5618171902046323690047504675492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.869
y[1] (analytic) = 14.388803383134026624759621744727
y[1] (numeric) = 14.388803383134026624759621744808
absolute error = 8.1e-29
relative error = 5.6293770818319002107823090432882e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 14.393818650956659607201155248298
y[1] (numeric) = 14.393818650956659607201155248379
absolute error = 8.1e-29
relative error = 5.6274156264026904894545103293358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.871
y[1] (analytic) = 14.398833918779292589642688751869
y[1] (numeric) = 14.39883391877929258964268875195
absolute error = 8.1e-29
relative error = 5.6254555373652809838852123459399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.872
y[1] (analytic) = 14.40384918660192557208422225544
y[1] (numeric) = 14.403849186601925572084222255521
absolute error = 8.1e-29
relative error = 5.6234968132923822091693748764601e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.873
y[1] (analytic) = 14.408864454424558554525755759011
y[1] (numeric) = 14.408864454424558554525755759092
absolute error = 8.1e-29
relative error = 5.6215394527586918568515296363359e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.874
y[1] (analytic) = 14.413879722247191536967289262582
y[1] (numeric) = 14.413879722247191536967289262663
absolute error = 8.1e-29
relative error = 5.6195834543408913377642465710483e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.875
y[1] (analytic) = 14.418894990069824519408822766152
y[1] (numeric) = 14.418894990069824519408822766234
absolute error = 8.2e-29
relative error = 5.6869822587981070522307008519845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.876
y[1] (analytic) = 14.423910257892457501850356269723
y[1] (numeric) = 14.423910257892457501850356269805
absolute error = 8.2e-29
relative error = 5.6850048658013065977619140992543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.877
y[1] (analytic) = 14.428925525715090484291889773294
y[1] (numeric) = 14.428925525715090484291889773376
absolute error = 8.2e-29
relative error = 5.6830288474259846281415588979684e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.878
y[1] (analytic) = 14.433940793537723466733423276865
y[1] (numeric) = 14.433940793537723466733423276947
absolute error = 8.2e-29
relative error = 5.6810542022392487057551302812561e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.879
y[1] (analytic) = 14.438956061360356449174956780436
y[1] (numeric) = 14.438956061360356449174956780518
absolute error = 8.2e-29
relative error = 5.6790809288101972126305192599704e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 14.443971329182989431616490284007
y[1] (numeric) = 14.443971329182989431616490284089
absolute error = 8.2e-29
relative error = 5.6771090257099158941539114407828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.881
y[1] (analytic) = 14.448986597005622414058023787577
y[1] (numeric) = 14.44898659700562241405802378766
absolute error = 8.3e-29
relative error = 5.7443474975055167808372388940358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.882
y[1] (analytic) = 14.454001864828255396499557291148
y[1] (numeric) = 14.454001864828255396499557291231
absolute error = 8.3e-29
relative error = 5.7423543165556536591228609485486e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.883
y[1] (analytic) = 14.459017132650888378941090794719
y[1] (numeric) = 14.459017132650888378941090794802
absolute error = 8.3e-29
relative error = 5.7403625183189017848047468795410e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.884
y[1] (analytic) = 14.46403240047352136138262429829
y[1] (numeric) = 14.464032400473521361382624298373
absolute error = 8.3e-29
relative error = 5.7383721013569326787767285900543e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.885
y[1] (analytic) = 14.469047668296154343824157801861
y[1] (numeric) = 14.469047668296154343824157801944
absolute error = 8.3e-29
relative error = 5.7363830642334120781948302439225e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.886
y[1] (analytic) = 14.474062936118787326265691305432
y[1] (numeric) = 14.474062936118787326265691305515
absolute error = 8.3e-29
relative error = 5.7343954055139964814941390345517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.887
y[1] (analytic) = 14.479078203941420308707224809002
y[1] (numeric) = 14.479078203941420308707224809086
absolute error = 8.4e-29
relative error = 5.8014742939321890945690701620987e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.888
y[1] (analytic) = 14.484093471764053291148758312573
y[1] (numeric) = 14.484093471764053291148758312657
absolute error = 8.4e-29
relative error = 5.7994654731932929072094548330951e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.889
y[1] (analytic) = 14.489108739586686273590291816144
y[1] (numeric) = 14.489108739586686273590291816228
absolute error = 8.4e-29
relative error = 5.7974580431229594724890638829970e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 14.494124007409319256031825319715
y[1] (numeric) = 14.494124007409319256031825319799
absolute error = 8.4e-29
relative error = 5.7954520022775882062356074595080e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.891
y[1] (analytic) = 14.499139275231952238473358823286
y[1] (numeric) = 14.49913927523195223847335882337
absolute error = 8.4e-29
relative error = 5.7934473492155758962369095669243e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.892
y[1] (analytic) = 14.504154543054585220914892326857
y[1] (numeric) = 14.504154543054585220914892326941
absolute error = 8.4e-29
relative error = 5.7914440824973132489698843561473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.893
y[1] (analytic) = 14.509169810877218203356425830427
y[1] (numeric) = 14.509169810877218203356425830512
absolute error = 8.5e-29
relative error = 5.8583641316457193178187783830766e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.894
y[1] (analytic) = 14.514185078699851185797959333998
y[1] (numeric) = 14.514185078699851185797959334083
absolute error = 8.5e-29
relative error = 5.8563398178476385578609971880582e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.895
y[1] (analytic) = 14.519200346522484168239492837569
y[1] (numeric) = 14.519200346522484168239492837654
absolute error = 8.5e-29
relative error = 5.8543169025392283200171764636408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.896
y[1] (analytic) = 14.52421561434511715068102634114
y[1] (numeric) = 14.524215614345117150681026341225
absolute error = 8.5e-29
relative error = 5.8522953842717769290226953944199e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.897
y[1] (analytic) = 14.529230882167750133122559844711
y[1] (numeric) = 14.529230882167750133122559844796
absolute error = 8.5e-29
relative error = 5.8502752615985730018811618440593e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.898
y[1] (analytic) = 14.534246149990383115564093348282
y[1] (numeric) = 14.534246149990383115564093348367
absolute error = 8.5e-29
relative error = 5.8482565330749019967045292830364e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.899
y[1] (analytic) = 14.539261417813016098005626851852
y[1] (numeric) = 14.539261417813016098005626851938
absolute error = 8.6e-29
relative error = 5.9150184819316668012689017476724e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=186.9MB, alloc=4.0MB, time=11.73
x[1] = 2.9
y[1] (analytic) = 14.544276685635649080447160355423
y[1] (numeric) = 14.544276685635649080447160355509
absolute error = 8.6e-29
relative error = 5.9129788203861731230615676436214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.901
y[1] (analytic) = 14.549291953458282062888693858994
y[1] (numeric) = 14.54929195345828206288869385908
absolute error = 8.6e-29
relative error = 5.9109405650189252178140455589458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.902
y[1] (analytic) = 14.554307221280915045330227362565
y[1] (numeric) = 14.554307221280915045330227362651
absolute error = 8.6e-29
relative error = 5.9089037143762584620532550539289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.903
y[1] (analytic) = 14.559322489103548027771760866136
y[1] (numeric) = 14.559322489103548027771760866222
absolute error = 8.6e-29
relative error = 5.9068682670065112149082143184641e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.904
y[1] (analytic) = 14.564337756926181010213294369707
y[1] (numeric) = 14.564337756926181010213294369793
absolute error = 8.6e-29
relative error = 5.9048342214600213694485351813021e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.905
y[1] (analytic) = 14.569353024748813992654827873277
y[1] (numeric) = 14.569353024748813992654827873364
absolute error = 8.7e-29
relative error = 5.9714388039203917822056338969927e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.906
y[1] (analytic) = 14.574368292571446975096361376848
y[1] (numeric) = 14.574368292571446975096361376935
absolute error = 8.7e-29
relative error = 5.9693839385370743727829891502972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.907
y[1] (analytic) = 14.579383560394079957537894880419
y[1] (numeric) = 14.579383560394079957537894880506
absolute error = 8.7e-29
relative error = 5.9673304868898307971473568870875e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.908
y[1] (analytic) = 14.58439882821671293997942838399
y[1] (numeric) = 14.584398828216712939979428384077
absolute error = 8.7e-29
relative error = 5.9652784475201988058140875071400e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.909
y[1] (analytic) = 14.589414096039345922420961887561
y[1] (numeric) = 14.589414096039345922420961887648
absolute error = 8.7e-29
relative error = 5.9632278189717215975618310315445e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 14.594429363861978904862495391132
y[1] (numeric) = 14.594429363861978904862495391219
absolute error = 8.7e-29
relative error = 5.9611785997899443736451431171006e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.911
y[1] (analytic) = 14.599444631684611887304028894702
y[1] (numeric) = 14.59944463168461188730402889479
absolute error = 8.8e-29
relative error = 6.0276265447123236680646467794660e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.912
y[1] (analytic) = 14.604459899507244869745562398273
y[1] (numeric) = 14.604459899507244869745562398361
absolute error = 8.8e-29
relative error = 6.0255566180142768536181960079070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.913
y[1] (analytic) = 14.609475167329877852187095901844
y[1] (numeric) = 14.609475167329877852187095901932
absolute error = 8.8e-29
relative error = 6.0234881124811445924257421129506e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.914
y[1] (analytic) = 14.614490435152510834628629405415
y[1] (numeric) = 14.614490435152510834628629405503
absolute error = 8.8e-29
relative error = 6.0214210266498195599643743222460e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.915
y[1] (analytic) = 14.619505702975143817070162908986
y[1] (numeric) = 14.619505702975143817070162909074
absolute error = 8.8e-29
relative error = 6.0193553590592021261530657890308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.916
y[1] (analytic) = 14.624520970797776799511696412557
y[1] (numeric) = 14.624520970797776799511696412645
absolute error = 8.8e-29
relative error = 6.0172911082501969128039049297066e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.917
y[1] (analytic) = 14.629536238620409781953229916127
y[1] (numeric) = 14.629536238620409781953229916216
absolute error = 8.9e-29
relative error = 6.0835831395016833281333586147711e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.918
y[1] (analytic) = 14.634551506443042764394763419698
y[1] (numeric) = 14.634551506443042764394763419787
absolute error = 8.9e-29
relative error = 6.0814982926409904962868427276515e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.919
y[1] (analytic) = 14.639566774265675746836296923269
y[1] (numeric) = 14.639566774265675746836296923358
absolute error = 8.9e-29
relative error = 6.0794148742468003659352542238050e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 14.64458204208830872927783042684
y[1] (numeric) = 14.644582042088308729277830426929
absolute error = 8.9e-29
relative error = 6.0773328828515103658099339312625e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.921
y[1] (analytic) = 14.649597309910941711719363930411
y[1] (numeric) = 14.6495973099109417117193639305
absolute error = 8.9e-29
relative error = 6.0752523169895276508610089282048e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.922
y[1] (analytic) = 14.654612577733574694160897433982
y[1] (numeric) = 14.654612577733574694160897434071
absolute error = 8.9e-29
relative error = 6.0731731751972656633008237779898e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.923
y[1] (analytic) = 14.659627845556207676602430937552
y[1] (numeric) = 14.659627845556207676602430937642
absolute error = 9.0e-29
relative error = 6.1393100116986816074559792622473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.924
y[1] (analytic) = 14.664643113378840659043964441123
y[1] (numeric) = 14.664643113378840659043964441213
absolute error = 9.0e-29
relative error = 6.1372103844716984742112952748114e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.925
y[1] (analytic) = 14.669658381201473641485497944694
y[1] (numeric) = 14.669658381201473641485497944784
absolute error = 9.0e-29
relative error = 6.1351121928872637055021632080507e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.926
y[1] (analytic) = 14.674673649024106623927031448265
y[1] (numeric) = 14.674673649024106623927031448355
absolute error = 9.0e-29
relative error = 6.1330154354734266365665848884307e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.927
y[1] (analytic) = 14.679688916846739606368564951836
y[1] (numeric) = 14.679688916846739606368564951926
absolute error = 9.0e-29
relative error = 6.1309201107602481512107370630502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.928
y[1] (analytic) = 14.684704184669372588810098455407
y[1] (numeric) = 14.684704184669372588810098455497
absolute error = 9.0e-29
relative error = 6.1288262172797972467875093523046e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.929
y[1] (analytic) = 14.689719452492005571251631958977
y[1] (numeric) = 14.689719452492005571251631959068
absolute error = 9.1e-29
relative error = 6.1948085730502159129473020443191e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 14.694734720314638553693165462548
y[1] (numeric) = 14.694734720314638553693165462639
absolute error = 9.1e-29
relative error = 6.1926943039126561122944190060786e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.931
y[1] (analytic) = 14.699749988137271536134698966119
y[1] (numeric) = 14.69974998813727153613469896621
absolute error = 9.1e-29
relative error = 6.1905814774698336434741206713784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.932
y[1] (analytic) = 14.70476525595990451857623246969
y[1] (numeric) = 14.704765255959904518576232469781
absolute error = 9.1e-29
relative error = 6.1884700922455942732000844774249e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.933
y[1] (analytic) = 14.709780523782537501017765973261
y[1] (numeric) = 14.709780523782537501017765973352
absolute error = 9.1e-29
relative error = 6.1863601467657969345457373637265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.934
y[1] (analytic) = 14.714795791605170483459299476832
y[1] (numeric) = 14.714795791605170483459299476923
absolute error = 9.1e-29
relative error = 6.1842516395583102961904048015711e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.935
y[1] (analytic) = 14.719811059427803465900832980402
y[1] (numeric) = 14.719811059427803465900832980494
absolute error = 9.2e-29
relative error = 6.2500802237590863643786943754931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.936
y[1] (analytic) = 14.724826327250436448342366483973
y[1] (numeric) = 14.724826327250436448342366484065
absolute error = 9.2e-29
relative error = 6.2479514498409122886415081716866e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.937
y[1] (analytic) = 14.729841595073069430783899987544
y[1] (numeric) = 14.729841595073069430783899987636
absolute error = 9.2e-29
relative error = 6.2458241255474696899732611481348e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.938
y[1] (analytic) = 14.734856862895702413225433491115
y[1] (numeric) = 14.734856862895702413225433491207
absolute error = 9.2e-29
relative error = 6.2436982493985427091393696365118e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.939
y[1] (analytic) = 14.739872130718335395666966994686
y[1] (numeric) = 14.739872130718335395666966994778
absolute error = 9.2e-29
relative error = 6.2415738199159300712662361320420e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 14.744887398540968378108500498257
y[1] (numeric) = 14.744887398540968378108500498349
absolute error = 9.2e-29
relative error = 6.2394508356234416596773700653303e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.941
y[1] (analytic) = 14.749902666363601360550034001827
y[1] (numeric) = 14.74990266636360136055003400192
absolute error = 9.3e-29
relative error = 6.3051263526017526521184251262611e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.942
y[1] (analytic) = 14.754917934186234342991567505398
y[1] (numeric) = 14.754917934186234342991567505491
absolute error = 9.3e-29
relative error = 6.3029832097218744221211041116022e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.943
y[1] (analytic) = 14.759933202008867325433101008969
y[1] (numeric) = 14.759933202008867325433101009062
absolute error = 9.3e-29
relative error = 6.3008415232761653244581339776872e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.944
y[1] (analytic) = 14.76494846983150030787463451254
y[1] (numeric) = 14.764948469831500307874634512633
absolute error = 9.3e-29
relative error = 6.2987012917804872791712935789175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.945
y[1] (analytic) = 14.769963737654133290316168016111
y[1] (numeric) = 14.769963737654133290316168016204
absolute error = 9.3e-29
relative error = 6.2965625137527180135416938187888e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.946
y[1] (analytic) = 14.774979005476766272757701519682
y[1] (numeric) = 14.774979005476766272757701519775
absolute error = 9.3e-29
relative error = 6.2944251877127476408283395439012e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.947
y[1] (analytic) = 14.779994273299399255199235023253
y[1] (numeric) = 14.779994273299399255199235023346
absolute error = 9.3e-29
relative error = 6.2922893121824752459722729203708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.948
y[1] (analytic) = 14.785009541122032237640768526823
y[1] (numeric) = 14.785009541122032237640768526917
absolute error = 9.4e-29
relative error = 6.3577909597254377952201860924679e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.949
y[1] (analytic) = 14.790024808944665220082302030394
y[1] (numeric) = 14.790024808944665220082302030488
absolute error = 9.4e-29
relative error = 6.3556350455308886471038008140370e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 14.795040076767298202523835533965
y[1] (numeric) = 14.795040076767298202523835534059
absolute error = 9.4e-29
relative error = 6.3534805929730815662064774917271e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.951
y[1] (analytic) = 14.800055344589931184965369037536
y[1] (numeric) = 14.80005534458993118496536903763
absolute error = 9.4e-29
relative error = 6.3513276005661100034934288717705e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.952
y[1] (analytic) = 14.805070612412564167406902541107
y[1] (numeric) = 14.805070612412564167406902541201
absolute error = 9.4e-29
relative error = 6.3491760668260808334380449189006e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.953
y[1] (analytic) = 14.810085880235197149848436044678
y[1] (numeric) = 14.810085880235197149848436044772
absolute error = 9.4e-29
relative error = 6.3470259902711109449065725027410e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.954
y[1] (analytic) = 14.815101148057830132289969548248
y[1] (numeric) = 14.815101148057830132289969548343
absolute error = 9.5e-29
relative error = 6.4123760648406996244881275913531e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.955
y[1] (analytic) = 14.820116415880463114731503051819
y[1] (numeric) = 14.820116415880463114731503051914
absolute error = 9.5e-29
relative error = 6.4102060560201105552412618967366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.956
y[1] (analytic) = 14.82513168370309609717303655539
y[1] (numeric) = 14.825131683703096097173036555485
absolute error = 9.5e-29
relative error = 6.4080375154057600442279867743087e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.957
y[1] (analytic) = 14.830146951525729079614570058961
y[1] (numeric) = 14.830146951525729079614570059056
absolute error = 9.5e-29
relative error = 6.4058704415080915423530364913278e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=190.7MB, alloc=4.0MB, time=11.97
TOP MAIN SOLVE Loop
x[1] = 2.958
y[1] (analytic) = 14.835162219348362062056103562532
y[1] (numeric) = 14.835162219348362062056103562627
absolute error = 9.5e-29
relative error = 6.4037048328395627757734715702691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.959
y[1] (analytic) = 14.840177487170995044497637066103
y[1] (numeric) = 14.840177487170995044497637066198
absolute error = 9.5e-29
relative error = 6.4015406879146423422568195014721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 14.845192754993628026939170569673
y[1] (numeric) = 14.845192754993628026939170569769
absolute error = 9.6e-29
relative error = 6.4667398789892779598536314895671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.961
y[1] (analytic) = 14.850208022816261009380704073244
y[1] (numeric) = 14.85020802281626100938070407334
absolute error = 9.6e-29
relative error = 6.4645559073989404799617525191214e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.962
y[1] (analytic) = 14.855223290638893991822237576815
y[1] (numeric) = 14.855223290638893991822237576911
absolute error = 9.6e-29
relative error = 6.4623734104686910064708808943681e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.963
y[1] (analytic) = 14.860238558461526974263771080386
y[1] (numeric) = 14.860238558461526974263771080482
absolute error = 9.6e-29
relative error = 6.4601923867054548637079815083085e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.964
y[1] (analytic) = 14.865253826284159956705304583957
y[1] (numeric) = 14.865253826284159956705304584053
absolute error = 9.6e-29
relative error = 6.4580128346181723215812244295269e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.965
y[1] (analytic) = 14.870269094106792939146838087528
y[1] (numeric) = 14.870269094106792939146838087624
absolute error = 9.6e-29
relative error = 6.4558347527177951976953622964983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.966
y[1] (analytic) = 14.875284361929425921588371591098
y[1] (numeric) = 14.875284361929425921588371591195
absolute error = 9.7e-29
relative error = 6.5208837451372551691151616700540e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.967
y[1] (analytic) = 14.880299629752058904029905094669
y[1] (numeric) = 14.880299629752058904029905094766
absolute error = 9.7e-29
relative error = 6.5186859413808893938643645141153e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.968
y[1] (analytic) = 14.88531489757469188647143859824
y[1] (numeric) = 14.885314897574691886471438598337
absolute error = 9.7e-29
relative error = 6.5164896186243594446076716689285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.969
y[1] (analytic) = 14.890330165397324868912972101811
y[1] (numeric) = 14.890330165397324868912972101908
absolute error = 9.7e-29
relative error = 6.5142947753712020315242740024856e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 14.895345433219957851354505605382
y[1] (numeric) = 14.895345433219957851354505605479
absolute error = 9.7e-29
relative error = 6.5121014101269693035675318226867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.971
y[1] (analytic) = 14.900360701042590833796039108953
y[1] (numeric) = 14.90036070104259083379603910905
absolute error = 9.7e-29
relative error = 6.5099095213992254566124434578860e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.972
y[1] (analytic) = 14.905375968865223816237572612523
y[1] (numeric) = 14.905375968865223816237572612621
absolute error = 9.8e-29
relative error = 6.5748089954057654448265107058015e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.973
y[1] (analytic) = 14.910391236687856798679106116094
y[1] (numeric) = 14.910391236687856798679106116192
absolute error = 9.8e-29
relative error = 6.5725974888482794826856339783524e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.974
y[1] (analytic) = 14.915406504510489781120639619665
y[1] (numeric) = 14.915406504510489781120639619763
absolute error = 9.8e-29
relative error = 6.5703874695177992273114962399602e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.975
y[1] (analytic) = 14.920421772333122763562173123236
y[1] (numeric) = 14.920421772333122763562173123334
absolute error = 9.8e-29
relative error = 6.5681789359145999670670217874425e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.976
y[1] (analytic) = 14.925437040155755746003706626807
y[1] (numeric) = 14.925437040155755746003706626905
absolute error = 9.8e-29
relative error = 6.5659718865409727493361524924869e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.977
y[1] (analytic) = 14.930452307978388728445240130378
y[1] (numeric) = 14.930452307978388728445240130476
absolute error = 9.8e-29
relative error = 6.5637663199012209949695632575213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.978
y[1] (analytic) = 14.935467575801021710886773633948
y[1] (numeric) = 14.935467575801021710886773634047
absolute error = 9.9e-29
relative error = 6.6285169511802454575061148831107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.979
y[1] (analytic) = 14.940482843623654693328307137519
y[1] (numeric) = 14.940482843623654693328307137618
absolute error = 9.9e-29
relative error = 6.6262918699613195610786203833177e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 14.94549811144628767576984064109
y[1] (numeric) = 14.945498111446287675769840641189
absolute error = 9.9e-29
relative error = 6.6240682820854936149171846046655e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.981
y[1] (analytic) = 14.950513379268920658211374144661
y[1] (numeric) = 14.95051337926892065821137414476
absolute error = 9.9e-29
relative error = 6.6218461860499063980051023555528e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.982
y[1] (analytic) = 14.955528647091553640652907648232
y[1] (numeric) = 14.955528647091553640652907648331
absolute error = 9.9e-29
relative error = 6.6196255803537125997495674453061e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.983
y[1] (analytic) = 14.960543914914186623094441151803
y[1] (numeric) = 14.960543914914186623094441151902
absolute error = 9.9e-29
relative error = 6.6174064634980794409833087904467e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.984
y[1] (analytic) = 14.965559182736819605535974655373
y[1] (numeric) = 14.965559182736819605535974655473
absolute error = 1.00e-28
relative error = 6.6820089232183669714752112688222e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.985
y[1] (analytic) = 14.970574450559452587977508158944
y[1] (numeric) = 14.970574450559452587977508159044
absolute error = 1.00e-28
relative error = 6.6797703942658650059906299585143e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.986
y[1] (analytic) = 14.975589718382085570419041662515
y[1] (numeric) = 14.975589718382085570419041662615
absolute error = 1.00e-28
relative error = 6.6775333646629628408848059029353e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.987
y[1] (analytic) = 14.980604986204718552860575166086
y[1] (numeric) = 14.980604986204718552860575166186
absolute error = 1.00e-28
relative error = 6.6752978329037854177710178862285e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.988
y[1] (analytic) = 14.985620254027351535302108669657
y[1] (numeric) = 14.985620254027351535302108669757
absolute error = 1.00e-28
relative error = 6.6730637974844735752617237035356e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.989
y[1] (analytic) = 14.990635521849984517743642173228
y[1] (numeric) = 14.990635521849984517743642173328
absolute error = 1.00e-28
relative error = 6.6708312569031806767755203834608e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 14.995650789672617500185175676798
y[1] (numeric) = 14.995650789672617500185175676899
absolute error = 1.01e-28
relative error = 6.7352862117566699375621574349254e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.991
y[1] (analytic) = 15.000666057495250482626709180369
y[1] (numeric) = 15.00066605749525048262670918047
absolute error = 1.01e-28
relative error = 6.7330343607998806798097127149538e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.992
y[1] (analytic) = 15.00568132531788346506824268394
y[1] (numeric) = 15.005681325317883465068242684041
absolute error = 1.01e-28
relative error = 6.7307840150910571902776907521479e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.993
y[1] (analytic) = 15.010696593140516447509776187511
y[1] (numeric) = 15.010696593140516447509776187612
absolute error = 1.01e-28
relative error = 6.7285351731214310435385401705400e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.994
y[1] (analytic) = 15.015711860963149429951309691082
y[1] (numeric) = 15.015711860963149429951309691183
absolute error = 1.01e-28
relative error = 6.7262878333842495368439715198484e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.995
y[1] (analytic) = 15.020727128785782412392843194653
y[1] (numeric) = 15.020727128785782412392843194754
absolute error = 1.01e-28
relative error = 6.7240419943747723249785812121622e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.996
y[1] (analytic) = 15.025742396608415394834376698223
y[1] (numeric) = 15.025742396608415394834376698325
absolute error = 1.02e-28
relative error = 6.7883501066159142802869395976931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.997
y[1] (analytic) = 15.030757664431048377275910201794
y[1] (numeric) = 15.030757664431048377275910201896
absolute error = 1.02e-28
relative error = 6.7860850581986250195994898347309e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.998
y[1] (analytic) = 15.035772932253681359717443705365
y[1] (numeric) = 15.035772932253681359717443705467
absolute error = 1.02e-28
relative error = 6.7838215208209737103868148881548e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 2.999
y[1] (analytic) = 15.040788200076314342158977208936
y[1] (numeric) = 15.040788200076314342158977209038
absolute error = 1.02e-28
relative error = 6.7815594929714168668688466271050e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 15.045803467898947324600510712507
y[1] (numeric) = 15.045803467898947324600510712609
absolute error = 1.02e-28
relative error = 6.7792989731404263945798903448959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.001
y[1] (analytic) = 15.050818735721580307042044216078
y[1] (numeric) = 15.05081873572158030704204421618
absolute error = 1.02e-28
relative error = 6.7770399598204862325023895483797e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.002
y[1] (analytic) = 15.055834003544213289483577719648
y[1] (numeric) = 15.055834003544213289483577719751
absolute error = 1.03e-28
relative error = 6.8412018873051683058522622714691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.003
y[1] (analytic) = 15.060849271366846271925111223219
y[1] (numeric) = 15.060849271366846271925111223322
absolute error = 1.03e-28
relative error = 6.8389237647985731782112858271562e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.004
y[1] (analytic) = 15.06586453918947925436664472679
y[1] (numeric) = 15.065864539189479254366644726893
absolute error = 1.03e-28
relative error = 6.8366471590180143988576868638315e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.005
y[1] (analytic) = 15.070879807012112236808178230361
y[1] (numeric) = 15.070879807012112236808178230464
absolute error = 1.03e-28
relative error = 6.8343720684492896020527425420798e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.006
y[1] (analytic) = 15.075895074834745219249711733932
y[1] (numeric) = 15.075895074834745219249711734035
absolute error = 1.03e-28
relative error = 6.8320984915802113287320330468894e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.007
y[1] (analytic) = 15.080910342657378201691245237503
y[1] (numeric) = 15.080910342657378201691245237606
absolute error = 1.03e-28
relative error = 6.8298264269006036761451584100263e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.008
y[1] (analytic) = 15.085925610480011184132778741073
y[1] (numeric) = 15.085925610480011184132778741177
absolute error = 1.04e-28
relative error = 6.8938428231246513712092126473444e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.009
y[1] (analytic) = 15.090940878302644166574312244644
y[1] (numeric) = 15.090940878302644166574312244748
absolute error = 1.04e-28
relative error = 6.8915517487400968177458662822239e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 15.095956146125277149015845748215
y[1] (numeric) = 15.095956146125277149015845748319
absolute error = 1.04e-28
relative error = 6.8892621966641034300987746322962e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.011
y[1] (analytic) = 15.100971413947910131457379251786
y[1] (numeric) = 15.10097141394791013145737925189
absolute error = 1.04e-28
relative error = 6.8869741653799240533368686958523e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.012
y[1] (analytic) = 15.105986681770543113898912755357
y[1] (numeric) = 15.105986681770543113898912755461
absolute error = 1.04e-28
relative error = 6.8846876533728258049791871325402e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.013
y[1] (analytic) = 15.111001949593176096340446258928
y[1] (numeric) = 15.111001949593176096340446259032
absolute error = 1.04e-28
relative error = 6.8824026591300867323588820588154e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.014
y[1] (analytic) = 15.116017217415809078781979762498
y[1] (numeric) = 15.116017217415809078781979762603
absolute error = 1.05e-28
relative error = 6.9462741732673481735322269235148e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.015
y[1] (analytic) = 15.121032485238442061223513266069
y[1] (numeric) = 15.121032485238442061223513266174
absolute error = 1.05e-28
relative error = 6.9439702680689178756305578598585e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=194.5MB, alloc=4.0MB, time=12.21
TOP MAIN SOLVE Loop
x[1] = 3.016
y[1] (analytic) = 15.12604775306107504366504676964
y[1] (numeric) = 15.126047753061075043665046769745
absolute error = 1.05e-28
relative error = 6.9416678906590807012686113884195e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.017
y[1] (analytic) = 15.131063020883708026106580273211
y[1] (numeric) = 15.131063020883708026106580273316
absolute error = 1.05e-28
relative error = 6.9393670395186567434624235821919e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.018
y[1] (analytic) = 15.136078288706341008548113776782
y[1] (numeric) = 15.136078288706341008548113776887
absolute error = 1.05e-28
relative error = 6.9370677131304795874838078023435e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.019
y[1] (analytic) = 15.141093556528973990989647280353
y[1] (numeric) = 15.141093556528973990989647280458
absolute error = 1.05e-28
relative error = 6.9347699099793929761596992207594e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 15.146108824351606973431180783924
y[1] (numeric) = 15.146108824351606973431180784029
absolute error = 1.05e-28
relative error = 6.9324736285522474817967324329378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.021
y[1] (analytic) = 15.151124092174239955872714287494
y[1] (numeric) = 15.1511240921742399558727142876
absolute error = 1.06e-28
relative error = 6.9961805708363533483796597986545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.022
y[1] (analytic) = 15.156139359996872938314247791065
y[1] (numeric) = 15.156139359996872938314247791171
absolute error = 1.06e-28
relative error = 6.9938654879207887046508776478276e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.023
y[1] (analytic) = 15.161154627819505920755781294636
y[1] (numeric) = 15.161154627819505920755781294742
absolute error = 1.06e-28
relative error = 6.9915519366512151721650520184369e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.024
y[1] (analytic) = 15.166169895642138903197314798207
y[1] (numeric) = 15.166169895642138903197314798313
absolute error = 1.06e-28
relative error = 6.9892399155081426803753148980603e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.025
y[1] (analytic) = 15.171185163464771885638848301778
y[1] (numeric) = 15.171185163464771885638848301884
absolute error = 1.06e-28
relative error = 6.9869294229740904018032900005733e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.026
y[1] (analytic) = 15.176200431287404868080381805349
y[1] (numeric) = 15.176200431287404868080381805455
absolute error = 1.06e-28
relative error = 6.9846204575335834320736788670634e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.027
y[1] (analytic) = 15.181215699110037850521915308919
y[1] (numeric) = 15.181215699110037850521915309026
absolute error = 1.07e-28
relative error = 7.0481838951983678678175660905176e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.028
y[1] (analytic) = 15.18623096693267083296344881249
y[1] (numeric) = 15.186230966932670832963448812597
absolute error = 1.07e-28
relative error = 7.0458562254839694636340067886382e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.029
y[1] (analytic) = 15.191246234755303815404982316061
y[1] (numeric) = 15.191246234755303815404982316168
absolute error = 1.07e-28
relative error = 7.0435300926924594043855307216891e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 15.196261502577936797846515819632
y[1] (numeric) = 15.196261502577936797846515819739
absolute error = 1.07e-28
relative error = 7.0412054953021318600276477082495e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.031
y[1] (analytic) = 15.201276770400569780288049323203
y[1] (numeric) = 15.20127677040056978028804932331
absolute error = 1.07e-28
relative error = 7.0388824317932891903278695334859e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.032
y[1] (analytic) = 15.206292038223202762729582826774
y[1] (numeric) = 15.206292038223202762729582826881
absolute error = 1.07e-28
relative error = 7.0365609006482386332070489960408e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.033
y[1] (analytic) = 15.211307306045835745171116330344
y[1] (numeric) = 15.211307306045835745171116330452
absolute error = 1.08e-28
relative error = 7.0999814695134505790677853149550e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.034
y[1] (analytic) = 15.216322573868468727612649833915
y[1] (numeric) = 15.216322573868468727612649834023
absolute error = 1.08e-28
relative error = 7.0976413305979880047174004153785e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.035
y[1] (analytic) = 15.221337841691101710054183337486
y[1] (numeric) = 15.221337841691101710054183337594
absolute error = 1.08e-28
relative error = 7.0953027337839524238262249951427e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.036
y[1] (analytic) = 15.226353109513734692495716841057
y[1] (numeric) = 15.226353109513734692495716841165
absolute error = 1.08e-28
relative error = 7.0929656775475281970726590448807e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.037
y[1] (analytic) = 15.231368377336367674937250344628
y[1] (numeric) = 15.231368377336367674937250344736
absolute error = 1.08e-28
relative error = 7.0906301603669066863064184590904e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.038
y[1] (analytic) = 15.236383645159000657378783848199
y[1] (numeric) = 15.236383645159000657378783848307
absolute error = 1.08e-28
relative error = 7.0882961807222829513866335945547e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.039
y[1] (analytic) = 15.241398912981633639820317351769
y[1] (numeric) = 15.241398912981633639820317351878
absolute error = 1.09e-28
relative error = 7.1515745124393325688520609294242e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 15.24641418080426662226185085534
y[1] (numeric) = 15.246414180804266622261850855449
absolute error = 1.09e-28
relative error = 7.1492220208233985778754648567500e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.041
y[1] (analytic) = 15.251429448626899604703384358911
y[1] (numeric) = 15.25142944862689960470338435902
absolute error = 1.09e-28
relative error = 7.1468710763903754280636018298322e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.042
y[1] (analytic) = 15.256444716449532587144917862482
y[1] (numeric) = 15.256444716449532587144917862591
absolute error = 1.09e-28
relative error = 7.1445216776144417083305105734778e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.043
y[1] (analytic) = 15.261459984272165569586451366053
y[1] (numeric) = 15.261459984272165569586451366162
absolute error = 1.09e-28
relative error = 7.1421738229717816880517295972787e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.044
y[1] (analytic) = 15.266475252094798552027984869624
y[1] (numeric) = 15.266475252094798552027984869733
absolute error = 1.09e-28
relative error = 7.1398275109405820225825930238236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.045
y[1] (analytic) = 15.271490519917431534469518373194
y[1] (numeric) = 15.271490519917431534469518373304
absolute error = 1.10e-28
relative error = 7.2029642330285608365091078715211e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.046
y[1] (analytic) = 15.276505787740064516911051876765
y[1] (numeric) = 15.276505787740064516911051876875
absolute error = 1.10e-28
relative error = 7.2005995041273695821307398124693e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.047
y[1] (analytic) = 15.281521055562697499352585380336
y[1] (numeric) = 15.281521055562697499352585380446
absolute error = 1.10e-28
relative error = 7.1982363273948039866000109841750e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.048
y[1] (analytic) = 15.286536323385330481794118883907
y[1] (numeric) = 15.286536323385330481794118884017
absolute error = 1.10e-28
relative error = 7.1958747013031390246621500881828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.049
y[1] (analytic) = 15.291551591207963464235652387478
y[1] (numeric) = 15.291551591207963464235652387588
absolute error = 1.10e-28
relative error = 7.1935146243266539019908932334473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 15.296566859030596446677185891049
y[1] (numeric) = 15.296566859030596446677185891159
absolute error = 1.10e-28
relative error = 7.1911560949416287695640109733707e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.051
y[1] (analytic) = 15.301582126853229429118719394619
y[1] (numeric) = 15.30158212685322942911871939473
absolute error = 1.11e-28
relative error = 7.2541518308229445485411516791358e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.052
y[1] (analytic) = 15.30659739467586241156025289819
y[1] (numeric) = 15.306597394675862411560252898301
absolute error = 1.11e-28
relative error = 7.2517749789779829022277371471308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.053
y[1] (analytic) = 15.311612662498495394001786401761
y[1] (numeric) = 15.311612662498495394001786401872
absolute error = 1.11e-28
relative error = 7.2493996841928607329181309443311e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.054
y[1] (analytic) = 15.316627930321128376443319905332
y[1] (numeric) = 15.316627930321128376443319905443
absolute error = 1.11e-28
relative error = 7.2470259449380497110671426892740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.055
y[1] (analytic) = 15.321643198143761358884853408903
y[1] (numeric) = 15.321643198143761358884853409014
absolute error = 1.11e-28
relative error = 7.2446537596860241628802140009959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.056
y[1] (analytic) = 15.326658465966394341326386912474
y[1] (numeric) = 15.326658465966394341326386912585
absolute error = 1.11e-28
relative error = 7.2422831269112577937169678576709e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.057
y[1] (analytic) = 15.331673733789027323767920416044
y[1] (numeric) = 15.331673733789027323767920416156
absolute error = 1.12e-28
relative error = 7.3051384959468890703395073854449e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.058
y[1] (analytic) = 15.336689001611660306209453919615
y[1] (numeric) = 15.336689001611660306209453919727
absolute error = 1.12e-28
relative error = 7.3027496344374231157710510390140e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.059
y[1] (analytic) = 15.341704269434293288650987423186
y[1] (numeric) = 15.341704269434293288650987423298
absolute error = 1.12e-28
relative error = 7.3003623347857600157005145725089e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 15.346719537256926271092520926757
y[1] (numeric) = 15.346719537256926271092520926869
absolute error = 1.12e-28
relative error = 7.2979765954606666300744686527139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.061
y[1] (analytic) = 15.351734805079559253534054430328
y[1] (numeric) = 15.35173480507955925353405443044
absolute error = 1.12e-28
relative error = 7.2955924149329107768794100219876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.062
y[1] (analytic) = 15.356750072902192235975587933899
y[1] (numeric) = 15.356750072902192235975587934011
absolute error = 1.12e-28
relative error = 7.2932097916752579647380385621502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.063
y[1] (analytic) = 15.361765340724825218417121437469
y[1] (numeric) = 15.361765340724825218417121437582
absolute error = 1.13e-28
relative error = 7.3559254091996330259408078294374e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.064
y[1] (analytic) = 15.36678060854745820085865494104
y[1] (numeric) = 15.366780608547458200858654941153
absolute error = 1.13e-28
relative error = 7.3535246502540717880080595240100e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.065
y[1] (analytic) = 15.371795876370091183300188444611
y[1] (numeric) = 15.371795876370091183300188444724
absolute error = 1.13e-28
relative error = 7.3511254578722596928080568944751e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.066
y[1] (analytic) = 15.376811144192724165741721948182
y[1] (numeric) = 15.376811144192724165741721948295
absolute error = 1.13e-28
relative error = 7.3487278305213554985181651603281e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.067
y[1] (analytic) = 15.381826412015357148183255451753
y[1] (numeric) = 15.381826412015357148183255451866
absolute error = 1.13e-28
relative error = 7.3463317666705171041593395440384e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.068
y[1] (analytic) = 15.386841679837990130624788955324
y[1] (numeric) = 15.386841679837990130624788955437
absolute error = 1.13e-28
relative error = 7.3439372647908982915439029926876e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.069
y[1] (analytic) = 15.391856947660623113066322458894
y[1] (numeric) = 15.391856947660623113066322459008
absolute error = 1.14e-28
relative error = 7.4065137421464033981379976167574e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 15.396872215483256095507855962465
y[1] (numeric) = 15.396872215483256095507855962579
absolute error = 1.14e-28
relative error = 7.4041011969535218335131969660678e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.071
y[1] (analytic) = 15.401887483305889077949389466036
y[1] (numeric) = 15.40188748330588907794938946615
absolute error = 1.14e-28
relative error = 7.4016902229395350142903011025164e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.072
y[1] (analytic) = 15.406902751128522060390922969607
y[1] (numeric) = 15.406902751128522060390922969721
absolute error = 1.14e-28
relative error = 7.3992808185700885510695034784596e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.073
y[1] (analytic) = 15.411918018951155042832456473178
y[1] (numeric) = 15.411918018951155042832456473292
memory used=198.3MB, alloc=4.0MB, time=12.46
absolute error = 1.14e-28
relative error = 7.3968729823128252615963275905719e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.074
y[1] (analytic) = 15.416933286773788025273989976749
y[1] (numeric) = 15.416933286773788025273989976863
absolute error = 1.14e-28
relative error = 7.3944667126373819222138954735938e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.075
y[1] (analytic) = 15.421948554596421007715523480319
y[1] (numeric) = 15.421948554596421007715523480434
absolute error = 1.15e-28
relative error = 7.4569046572085034469314910536879e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.076
y[1] (analytic) = 15.42696382241905399015705698389
y[1] (numeric) = 15.426963822419053990157056984005
absolute error = 1.15e-28
relative error = 7.4544804359285266902842441450227e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.077
y[1] (analytic) = 15.431979090241686972598590487461
y[1] (numeric) = 15.431979090241686972598590487576
absolute error = 1.15e-28
relative error = 7.4520577903529893075444702600226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.078
y[1] (analytic) = 15.436994358064319955040123991032
y[1] (numeric) = 15.436994358064319955040123991147
absolute error = 1.15e-28
relative error = 7.4496367189461169913301933041226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.079
y[1] (analytic) = 15.442009625886952937481657494603
y[1] (numeric) = 15.442009625886952937481657494718
absolute error = 1.15e-28
relative error = 7.4472172201741305941261237382557e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 15.447024893709585919923190998174
y[1] (numeric) = 15.447024893709585919923190998289
absolute error = 1.15e-28
relative error = 7.4447992925052428893877711006782e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.081
y[1] (analytic) = 15.452040161532218902364724501744
y[1] (numeric) = 15.45204016153221890236472450186
absolute error = 1.16e-28
relative error = 7.5070993077523479940743769212437e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.082
y[1] (analytic) = 15.457055429354851884806258005315
y[1] (numeric) = 15.457055429354851884806258005431
absolute error = 1.16e-28
relative error = 7.5046635195278988221100438982322e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.083
y[1] (analytic) = 15.462070697177484867247791508886
y[1] (numeric) = 15.462070697177484867247791509002
absolute error = 1.16e-28
relative error = 7.5022293114450159486679063556118e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.084
y[1] (analytic) = 15.467085965000117849689325012457
y[1] (numeric) = 15.467085965000117849689325012573
absolute error = 1.16e-28
relative error = 7.4997966819665966827960944534212e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.085
y[1] (analytic) = 15.472101232822750832130858516028
y[1] (numeric) = 15.472101232822750832130858516144
absolute error = 1.16e-28
relative error = 7.4973656295575313354110714082175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.086
y[1] (analytic) = 15.477116500645383814572392019599
y[1] (numeric) = 15.477116500645383814572392019715
absolute error = 1.16e-28
relative error = 7.4949361526846999901954488964195e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.087
y[1] (analytic) = 15.482131768468016797013925523169
y[1] (numeric) = 15.482131768468016797013925523286
absolute error = 1.17e-28
relative error = 7.5570988381774603952614109486924e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.088
y[1] (analytic) = 15.48714703629064977945545902674
y[1] (numeric) = 15.487147036290649779455459026857
absolute error = 1.17e-28
relative error = 7.5546515911443718394339299218307e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.089
y[1] (analytic) = 15.492162304113282761896992530311
y[1] (numeric) = 15.492162304113282761896992530428
absolute error = 1.17e-28
relative error = 7.5522059286027258789808920681816e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 15.497177571935915744338526033882
y[1] (numeric) = 15.497177571935915744338526033999
absolute error = 1.17e-28
relative error = 7.5497618490141813074990212293245e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.091
y[1] (analytic) = 15.502192839758548726780059537453
y[1] (numeric) = 15.50219283975854872678005953757
absolute error = 1.17e-28
relative error = 7.5473193508423876545363880940189e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.092
y[1] (analytic) = 15.507208107581181709221593041024
y[1] (numeric) = 15.507208107581181709221593041141
absolute error = 1.17e-28
relative error = 7.5448784325529819664204319529794e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.093
y[1] (analytic) = 15.512223375403814691663126544595
y[1] (numeric) = 15.512223375403814691663126544712
absolute error = 1.17e-28
relative error = 7.5424390926135855933307389584908e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.094
y[1] (analytic) = 15.517238643226447674104660048165
y[1] (numeric) = 15.517238643226447674104660048283
absolute error = 1.18e-28
relative error = 7.6044457853014403072400762452731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.095
y[1] (analytic) = 15.522253911049080656546193551736
y[1] (numeric) = 15.522253911049080656546193551854
absolute error = 1.18e-28
relative error = 7.6019887753546547045559922141760e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.096
y[1] (analytic) = 15.527269178871713638987727055307
y[1] (numeric) = 15.527269178871713638987727055425
absolute error = 1.18e-28
relative error = 7.5995333526235969995480606921429e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.097
y[1] (analytic) = 15.532284446694346621429260558878
y[1] (numeric) = 15.532284446694346621429260558996
absolute error = 1.18e-28
relative error = 7.5970795155707640654184035850417e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.098
y[1] (analytic) = 15.537299714516979603870794062449
y[1] (numeric) = 15.537299714516979603870794062567
absolute error = 1.18e-28
relative error = 7.5946272626606379311171064889845e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.099
y[1] (analytic) = 15.54231498233961258631232756602
y[1] (numeric) = 15.542314982339612586312327566138
absolute error = 1.18e-28
relative error = 7.5921765923596825784449163933119e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 15.54733025016224556875386106959
y[1] (numeric) = 15.547330250162245568753861069709
absolute error = 1.19e-28
relative error = 7.6540472277391910906547149055279e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.101
y[1] (analytic) = 15.552345517984878551195394573161
y[1] (numeric) = 15.55234551798487855119539457328
absolute error = 1.19e-28
relative error = 7.6515789764564631993001019694087e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.102
y[1] (analytic) = 15.557360785807511533636928076732
y[1] (numeric) = 15.557360785807511533636928076851
absolute error = 1.19e-28
relative error = 7.6491123165672122440456531937898e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.103
y[1] (analytic) = 15.562376053630144516078461580303
y[1] (numeric) = 15.562376053630144516078461580422
absolute error = 1.19e-28
relative error = 7.6466472465328689594036790870563e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.104
y[1] (analytic) = 15.567391321452777498519995083874
y[1] (numeric) = 15.567391321452777498519995083993
absolute error = 1.19e-28
relative error = 7.6441837648168467722389227471442e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.105
y[1] (analytic) = 15.572406589275410480961528587445
y[1] (numeric) = 15.572406589275410480961528587564
absolute error = 1.19e-28
relative error = 7.6417218698845386090272515965009e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.106
y[1] (analytic) = 15.577421857098043463403062091015
y[1] (numeric) = 15.577421857098043463403062091135
absolute error = 1.20e-28
relative error = 7.7034570354991398749061289476492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.107
y[1] (analytic) = 15.582437124920676445844595594586
y[1] (numeric) = 15.582437124920676445844595594706
absolute error = 1.20e-28
relative error = 7.7009776479756448186219621858378e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.108
y[1] (analytic) = 15.587452392743309428286129098157
y[1] (numeric) = 15.587452392743309428286129098277
absolute error = 1.20e-28
relative error = 7.6984998559396166188733708209131e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.109
y[1] (analytic) = 15.592467660565942410727662601728
y[1] (numeric) = 15.592467660565942410727662601848
absolute error = 1.20e-28
relative error = 7.6960236578515048090892365749107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 15.597482928388575393169196105299
y[1] (numeric) = 15.597482928388575393169196105419
absolute error = 1.20e-28
relative error = 7.6935490521737390519158959843721e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.111
y[1] (analytic) = 15.60249819621120837561072960887
y[1] (numeric) = 15.60249819621120837561072960899
absolute error = 1.20e-28
relative error = 7.6910760373707259567529529126959e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.112
y[1] (analytic) = 15.60751346403384135805226311244
y[1] (numeric) = 15.607513464033841358052263112561
absolute error = 1.21e-28
relative error = 7.7526763170080862859534886939781e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.113
y[1] (analytic) = 15.612528731856474340493796616011
y[1] (numeric) = 15.612528731856474340493796616132
absolute error = 1.21e-28
relative error = 7.7501858973752536209082097062832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.114
y[1] (analytic) = 15.617543999679107322935330119582
y[1] (numeric) = 15.617543999679107322935330119703
absolute error = 1.21e-28
relative error = 7.7476970772412217475553168964867e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.115
y[1] (analytic) = 15.622559267501740305376863623153
y[1] (numeric) = 15.622559267501740305376863623274
absolute error = 1.21e-28
relative error = 7.7452098550655423826283328461185e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.116
y[1] (analytic) = 15.627574535324373287818397126724
y[1] (numeric) = 15.627574535324373287818397126845
absolute error = 1.21e-28
relative error = 7.7427242293097447117738308137545e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.117
y[1] (analytic) = 15.632589803147006270259930630295
y[1] (numeric) = 15.632589803147006270259930630416
absolute error = 1.21e-28
relative error = 7.7402401984373322174806727031308e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.118
y[1] (analytic) = 15.637605070969639252701464133865
y[1] (numeric) = 15.637605070969639252701464133987
absolute error = 1.22e-28
relative error = 7.8017061721610008314034884925983e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.119
y[1] (analytic) = 15.642620338792272235142997637436
y[1] (numeric) = 15.642620338792272235142997637558
absolute error = 1.22e-28
relative error = 7.7992048235966657878538240204942e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 15.647635606614905217584531141007
y[1] (numeric) = 15.647635606614905217584531141129
absolute error = 1.22e-28
relative error = 7.7967050784608976257423324102311e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.121
y[1] (analytic) = 15.652650874437538200026064644578
y[1] (numeric) = 15.6526508744375382000260646447
absolute error = 1.22e-28
relative error = 7.7942069352124321026325142966744e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.122
y[1] (analytic) = 15.657666142260171182467598148149
y[1] (numeric) = 15.657666142260171182467598148271
absolute error = 1.22e-28
relative error = 7.7917103923119796900435865214352e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.123
y[1] (analytic) = 15.66268141008280416490913165172
y[1] (numeric) = 15.662681410082804164909131651842
absolute error = 1.22e-28
relative error = 7.7892154482222224118847509189626e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.124
y[1] (analytic) = 15.66769667790543714735066515529
y[1] (numeric) = 15.667696677905437147350665155413
absolute error = 1.23e-28
relative error = 7.8505476924029566782153961024914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.125
y[1] (analytic) = 15.672711945728070129792198658861
y[1] (numeric) = 15.672711945728070129792198658984
absolute error = 1.23e-28
relative error = 7.8480355171413877320783671757386e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.126
y[1] (analytic) = 15.677727213550703112233732162432
y[1] (numeric) = 15.677727213550703112233732162555
absolute error = 1.23e-28
relative error = 7.8455249491576572817482077492587e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.127
y[1] (analytic) = 15.682742481373336094675265666003
y[1] (numeric) = 15.682742481373336094675265666126
absolute error = 1.23e-28
relative error = 7.8430159869097654821697785174872e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.128
y[1] (analytic) = 15.687757749195969077116799169574
y[1] (numeric) = 15.687757749195969077116799169697
absolute error = 1.23e-28
relative error = 7.8405086288576843550974736010813e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.129
y[1] (analytic) = 15.692773017018602059558332673145
y[1] (numeric) = 15.692773017018602059558332673268
absolute error = 1.23e-28
relative error = 7.8380028734633546381415459968623e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 15.697788284841235041999866176715
y[1] (numeric) = 15.697788284841235041999866176839
absolute error = 1.24e-28
relative error = 7.8992019608101190840810599771390e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=202.1MB, alloc=4.0MB, time=12.70
x[1] = 3.131
y[1] (analytic) = 15.702803552663868024441399680286
y[1] (numeric) = 15.70280355266386802444139968041
absolute error = 1.24e-28
relative error = 7.8966790601519235813394179905604e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.132
y[1] (analytic) = 15.707818820486501006882933183857
y[1] (numeric) = 15.707818820486501006882933183981
absolute error = 1.24e-28
relative error = 7.8941577705414025329418000410104e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.133
y[1] (analytic) = 15.712834088309133989324466687428
y[1] (numeric) = 15.712834088309133989324466687552
absolute error = 1.24e-28
relative error = 7.8916380904358993722226995622228e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.134
y[1] (analytic) = 15.717849356131766971766000190999
y[1] (numeric) = 15.717849356131766971766000191123
absolute error = 1.24e-28
relative error = 7.8891200182947264624038665374741e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.135
y[1] (analytic) = 15.72286462395439995420753369457
y[1] (numeric) = 15.722864623954399954207533694694
absolute error = 1.24e-28
relative error = 7.8866035525791619563552528639374e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.136
y[1] (analytic) = 15.72787989177703293664906719814
y[1] (numeric) = 15.727879891777032936649067198265
absolute error = 1.25e-28
relative error = 7.9476700521698051031895848318580e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.137
y[1] (analytic) = 15.732895159599665919090600701711
y[1] (numeric) = 15.732895159599665919090600701836
absolute error = 1.25e-28
relative error = 7.9451365264917146329622371796960e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.138
y[1] (analytic) = 15.737910427422298901532134205282
y[1] (numeric) = 15.737910427422298901532134205407
absolute error = 1.25e-28
relative error = 7.9426046155527434045897189396769e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.139
y[1] (analytic) = 15.742925695244931883973667708853
y[1] (numeric) = 15.742925695244931883973667708978
absolute error = 1.25e-28
relative error = 7.9400743178096555602429238715215e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 15.747940963067564866415201212424
y[1] (numeric) = 15.747940963067564866415201212549
absolute error = 1.25e-28
relative error = 7.9375456317211811476441203925814e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.141
y[1] (analytic) = 15.752956230890197848856734715995
y[1] (numeric) = 15.75295623089019784885673471612
absolute error = 1.25e-28
relative error = 7.9350185557480129906407316245480e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.142
y[1] (analytic) = 15.757971498712830831298268219565
y[1] (numeric) = 15.757971498712830831298268219691
absolute error = 1.26e-28
relative error = 7.9959530330596259942811452377366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.143
y[1] (analytic) = 15.762986766535463813739801723136
y[1] (numeric) = 15.762986766535463813739801723262
absolute error = 1.26e-28
relative error = 7.9934089818241631797745333557009e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.144
y[1] (analytic) = 15.768002034358096796181335226707
y[1] (numeric) = 15.768002034358096796181335226833
absolute error = 1.26e-28
relative error = 7.9908665489419035858878366211730e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.145
y[1] (analytic) = 15.773017302180729778622868730278
y[1] (numeric) = 15.773017302180729778622868730404
absolute error = 1.26e-28
relative error = 7.9883257328691080680544859577003e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.146
y[1] (analytic) = 15.778032570003362761064402233849
y[1] (numeric) = 15.778032570003362761064402233975
absolute error = 1.26e-28
relative error = 7.9857865320640002778230636799006e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.147
y[1] (analytic) = 15.78304783782599574350593573742
y[1] (numeric) = 15.783047837825995743505935737546
absolute error = 1.26e-28
relative error = 7.9832489449867635443378958808284e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.148
y[1] (analytic) = 15.78806310564862872594746924099
y[1] (numeric) = 15.788063105648628725947469241117
absolute error = 1.27e-28
relative error = 8.0440519619257245693964989330464e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.149
y[1] (analytic) = 15.793078373471261708389002744561
y[1] (numeric) = 15.793078373471261708389002744688
absolute error = 1.27e-28
relative error = 8.0414974836907529198031688285899e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 15.798093641293894690830536248132
y[1] (numeric) = 15.798093641293894690830536248259
absolute error = 1.27e-28
relative error = 8.0389446273467241093524376638824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.151
y[1] (analytic) = 15.803108909116527673272069751703
y[1] (numeric) = 15.80310890911652767327206975183
absolute error = 1.27e-28
relative error = 8.0363933913494703092542617077846e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.152
y[1] (analytic) = 15.808124176939160655713603255274
y[1] (numeric) = 15.808124176939160655713603255401
absolute error = 1.27e-28
relative error = 8.0338437741567832945622394166335e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.153
y[1] (analytic) = 15.813139444761793638155136758845
y[1] (numeric) = 15.813139444761793638155136758972
absolute error = 1.27e-28
relative error = 8.0312957742284113366508654111096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.154
y[1] (analytic) = 15.818154712584426620596670262415
y[1] (numeric) = 15.818154712584426620596670262543
absolute error = 1.28e-28
relative error = 8.0919678891601195354752691647088e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.155
y[1] (analytic) = 15.823169980407059603038203765986
y[1] (numeric) = 15.823169980407059603038203766114
absolute error = 1.28e-28
relative error = 8.0894030815882779761930266071288e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.156
y[1] (analytic) = 15.828185248229692585479737269557
y[1] (numeric) = 15.828185248229692585479737269685
absolute error = 1.28e-28
relative error = 8.0868398993697772544008234935016e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.157
y[1] (analytic) = 15.833200516052325567921270773128
y[1] (numeric) = 15.833200516052325567921270773256
absolute error = 1.28e-28
relative error = 8.0842783409600940813712381835574e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.158
y[1] (analytic) = 15.838215783874958550362804276699
y[1] (numeric) = 15.838215783874958550362804276827
absolute error = 1.28e-28
relative error = 8.0817184048166614993315386147849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.159
y[1] (analytic) = 15.84323105169759153280433778027
y[1] (numeric) = 15.843231051697591532804337780398
absolute error = 1.28e-28
relative error = 8.0791600893988657850234248007250e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 15.84824631952022451524587128384
y[1] (numeric) = 15.848246319520224515245871283969
absolute error = 1.29e-28
relative error = 8.1397018571771686978853858385295e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.161
y[1] (analytic) = 15.853261587342857497687404787411
y[1] (numeric) = 15.85326158734285749768740478754
absolute error = 1.29e-28
relative error = 8.1371268170451923711856435462680e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.162
y[1] (analytic) = 15.858276855165490480128938290982
y[1] (numeric) = 15.858276855165490480128938291111
absolute error = 1.29e-28
relative error = 8.1345534056546024937754014072589e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.163
y[1] (analytic) = 15.863292122988123462570471794553
y[1] (numeric) = 15.863292122988123462570471794682
absolute error = 1.29e-28
relative error = 8.1319816214605921863160984033362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.164
y[1] (analytic) = 15.868307390810756445012005298124
y[1] (numeric) = 15.868307390810756445012005298253
absolute error = 1.29e-28
relative error = 8.1294114629203075490890705593402e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.165
y[1] (analytic) = 15.873322658633389427453538801695
y[1] (numeric) = 15.873322658633389427453538801824
absolute error = 1.29e-28
relative error = 8.1268429284928445767196901263039e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.166
y[1] (analytic) = 15.878337926456022409895072305266
y[1] (numeric) = 15.878337926456022409895072305395
absolute error = 1.29e-28
relative error = 8.1242760166392460787485215570915e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.167
y[1] (analytic) = 15.883353194278655392336605808836
y[1] (numeric) = 15.883353194278655392336605808966
absolute error = 1.30e-28
relative error = 8.1846697236970916184864665468945e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.168
y[1] (analytic) = 15.888368462101288374778139312407
y[1] (numeric) = 15.888368462101288374778139312537
absolute error = 1.30e-28
relative error = 8.1820861789610761223947725864945e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.169
y[1] (analytic) = 15.893383729923921357219672815978
y[1] (numeric) = 15.893383729923921357219672816108
absolute error = 1.30e-28
relative error = 8.1795042647360962940191352332011e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 15.898398997746554339661206319549
y[1] (numeric) = 15.898398997746554339661206319679
absolute error = 1.30e-28
relative error = 8.1769239794790817526014635817079e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.171
y[1] (analytic) = 15.90341426556918732210273982312
y[1] (numeric) = 15.90341426556918732210273982325
absolute error = 1.30e-28
relative error = 8.1743453216489085953158749776139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.172
y[1] (analytic) = 15.908429533391820304544273326691
y[1] (numeric) = 15.908429533391820304544273326821
absolute error = 1.30e-28
relative error = 8.1717682897063963290500124697394e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.173
y[1] (analytic) = 15.913444801214453286985806830261
y[1] (numeric) = 15.913444801214453286985806830392
absolute error = 1.31e-28
relative error = 8.2320328273613379218958272481174e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.174
y[1] (analytic) = 15.918460069037086269427340333832
y[1] (numeric) = 15.918460069037086269427340333963
absolute error = 1.31e-28
relative error = 8.2294392442399260321913862187385e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.175
y[1] (analytic) = 15.923475336859719251868873837403
y[1] (numeric) = 15.923475336859719251868873837534
absolute error = 1.31e-28
relative error = 8.2268472948716614885591999553625e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.176
y[1] (analytic) = 15.928490604682352234310407340974
y[1] (numeric) = 15.928490604682352234310407341105
absolute error = 1.31e-28
relative error = 8.2242569777133265825489483180968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.177
y[1] (analytic) = 15.933505872504985216751940844545
y[1] (numeric) = 15.933505872504985216751940844676
absolute error = 1.31e-28
relative error = 8.2216682912236465930675038899198e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.178
y[1] (analytic) = 15.938521140327618199193474348116
y[1] (numeric) = 15.938521140327618199193474348247
absolute error = 1.31e-28
relative error = 8.2190812338632867294447639579217e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.179
y[1] (analytic) = 15.943536408150251181635007851686
y[1] (numeric) = 15.943536408150251181635007851818
absolute error = 1.32e-28
relative error = 8.2792171461108402946222963707260e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 15.948551675972884164076541355257
y[1] (numeric) = 15.948551675972884164076541355389
absolute error = 1.32e-28
relative error = 8.2766136187064029234604654599175e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.181
y[1] (analytic) = 15.953566943795517146518074858828
y[1] (numeric) = 15.95356694379551714651807485896
absolute error = 1.32e-28
relative error = 8.2740117282258287634719522673806e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.182
y[1] (analytic) = 15.958582211618150128959608362399
y[1] (numeric) = 15.958582211618150128959608362531
absolute error = 1.32e-28
relative error = 8.2714114731258206463244123703763e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.183
y[1] (analytic) = 15.96359747944078311140114186597
y[1] (numeric) = 15.963597479440783111401141866102
absolute error = 1.32e-28
relative error = 8.2688128518650208283393905631596e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.184
y[1] (analytic) = 15.968612747263416093842675369541
y[1] (numeric) = 15.968612747263416093842675369673
absolute error = 1.32e-28
relative error = 8.2662158629040079449134045736610e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.185
y[1] (analytic) = 15.973628015086049076284208873111
y[1] (numeric) = 15.973628015086049076284208873244
absolute error = 1.33e-28
relative error = 8.3262236903470007431815072109261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.186
y[1] (analytic) = 15.978643282908682058725742376682
y[1] (numeric) = 15.978643282908682058725742376815
absolute error = 1.33e-28
relative error = 8.3236103119131190731428438376646e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.187
y[1] (analytic) = 15.983658550731315041167275880253
y[1] (numeric) = 15.983658550731315041167275880386
absolute error = 1.33e-28
relative error = 8.3209985735033565632359901056791e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.188
y[1] (analytic) = 15.988673818553948023608809383824
y[1] (numeric) = 15.988673818553948023608809383957
absolute error = 1.33e-28
relative error = 8.3183884735744031891571833333748e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=205.9MB, alloc=4.1MB, time=12.95
TOP MAIN SOLVE Loop
x[1] = 3.189
y[1] (analytic) = 15.993689086376581006050342887395
y[1] (numeric) = 15.993689086376581006050342887528
absolute error = 1.33e-28
relative error = 8.3157800105848847184174037211661e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 15.998704354199213988491876390966
y[1] (numeric) = 15.998704354199213988491876391099
absolute error = 1.33e-28
relative error = 8.3131731829953596761859249112221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.191
y[1] (analytic) = 16.003719622021846970933409894536
y[1] (numeric) = 16.00371962202184697093340989467
absolute error = 1.34e-28
relative error = 8.3730534628718374921535320498469e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.192
y[1] (analytic) = 16.008734889844479953374943398107
y[1] (numeric) = 16.008734889844479953374943398241
absolute error = 1.34e-28
relative error = 8.3704303258220656132399501162472e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.193
y[1] (analytic) = 16.013750157667112935816476901678
y[1] (numeric) = 16.013750157667112935816476901812
absolute error = 1.34e-28
relative error = 8.3678088318271323011155404857691e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.194
y[1] (analytic) = 16.018765425489745918258010405249
y[1] (numeric) = 16.018765425489745918258010405383
absolute error = 1.34e-28
relative error = 8.3651889793437800367758048750972e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.195
y[1] (analytic) = 16.02378069331237890069954390882
y[1] (numeric) = 16.023780693312378900699543908954
absolute error = 1.34e-28
relative error = 8.3625707668306833920068609612082e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.196
y[1] (analytic) = 16.028795961135011883141077412391
y[1] (numeric) = 16.028795961135011883141077412525
absolute error = 1.34e-28
relative error = 8.3599541927484460067152442963267e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.197
y[1] (analytic) = 16.033811228957644865582610915961
y[1] (numeric) = 16.033811228957644865582610916096
absolute error = 1.35e-28
relative error = 8.4197074589592960612733003050745e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.198
y[1] (analytic) = 16.038826496780277848024144419532
y[1] (numeric) = 16.038826496780277848024144419667
absolute error = 1.35e-28
relative error = 8.4170746548758191081584556208014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.199
y[1] (analytic) = 16.043841764602910830465677923103
y[1] (numeric) = 16.043841764602910830465677923238
absolute error = 1.35e-28
relative error = 8.4144434968092746195344611051336e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 16.048857032425543812907211426674
y[1] (numeric) = 16.048857032425543812907211426809
absolute error = 1.35e-28
relative error = 8.4118139832165217212158565860382e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.201
y[1] (analytic) = 16.053872300248176795348744930245
y[1] (numeric) = 16.05387230024817679534874493038
absolute error = 1.35e-28
relative error = 8.4091861125563478625088225789822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.202
y[1] (analytic) = 16.058887568070809777790278433816
y[1] (numeric) = 16.058887568070809777790278433951
absolute error = 1.35e-28
relative error = 8.4065598832894658050876767880455e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.203
y[1] (analytic) = 16.063902835893442760231811937386
y[1] (numeric) = 16.063902835893442760231811937522
absolute error = 1.36e-28
relative error = 8.4661866664257588443083238774851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.204
y[1] (analytic) = 16.068918103716075742673345440957
y[1] (numeric) = 16.068918103716075742673345441093
absolute error = 1.36e-28
relative error = 8.4635442860679480581521727152261e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.205
y[1] (analytic) = 16.073933371538708725114878944528
y[1] (numeric) = 16.073933371538708725114878944664
absolute error = 1.36e-28
relative error = 8.4609035546214369979156197752213e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.206
y[1] (analytic) = 16.078948639361341707556412448099
y[1] (numeric) = 16.078948639361341707556412448235
absolute error = 1.36e-28
relative error = 8.4582644705432643725263759761647e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.207
y[1] (analytic) = 16.08396390718397468999794595167
y[1] (numeric) = 16.083963907183974689997945951806
absolute error = 1.36e-28
relative error = 8.4556270322923933827002062299918e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.208
y[1] (analytic) = 16.088979175006607672439479455241
y[1] (numeric) = 16.088979175006607672439479455377
absolute error = 1.36e-28
relative error = 8.4529912383297087214213096569774e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.209
y[1] (analytic) = 16.093994442829240654881012958811
y[1] (numeric) = 16.093994442829240654881012958948
absolute error = 1.37e-28
relative error = 8.5124920656997636798841949778269e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 16.099009710651873637322546462382
y[1] (numeric) = 16.099009710651873637322546462519
absolute error = 1.37e-28
relative error = 8.5098401990126297971178759139708e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.211
y[1] (analytic) = 16.104024978474506619764079965953
y[1] (numeric) = 16.10402497847450661976407996609
absolute error = 1.37e-28
relative error = 8.5071899840643231543906514119732e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.212
y[1] (analytic) = 16.109040246297139602205613469524
y[1] (numeric) = 16.109040246297139602205613469661
absolute error = 1.37e-28
relative error = 8.5045414193121238009801935503878e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.213
y[1] (analytic) = 16.114055514119772584647146973095
y[1] (numeric) = 16.114055514119772584647146973232
absolute error = 1.37e-28
relative error = 8.5018945032152323836751888216139e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.214
y[1] (analytic) = 16.119070781942405567088680476666
y[1] (numeric) = 16.119070781942405567088680476803
absolute error = 1.37e-28
relative error = 8.4992492342347671589136221791677e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.215
y[1] (analytic) = 16.124086049765038549530213980236
y[1] (numeric) = 16.124086049765038549530213980374
absolute error = 1.38e-28
relative error = 8.5586246298909417478000628267832e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.216
y[1] (analytic) = 16.129101317587671531971747483807
y[1] (numeric) = 16.129101317587671531971747483945
absolute error = 1.38e-28
relative error = 8.5559633660134880967590802201828e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.217
y[1] (analytic) = 16.134116585410304514413280987378
y[1] (numeric) = 16.134116585410304514413280987516
absolute error = 1.38e-28
relative error = 8.5533037566364245319170662070586e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.218
y[1] (analytic) = 16.139131853232937496854814490949
y[1] (numeric) = 16.139131853232937496854814491087
absolute error = 1.38e-28
relative error = 8.5506458002173330388990683617487e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.219
y[1] (analytic) = 16.14414712105557047929634799452
y[1] (numeric) = 16.144147121055570479296347994658
absolute error = 1.38e-28
relative error = 8.5479894952157122457835358770137e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 16.149162388878203461737881498091
y[1] (numeric) = 16.149162388878203461737881498229
absolute error = 1.38e-28
relative error = 8.5453348400929744469494416112133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.221
y[1] (analytic) = 16.154177656700836444179415001661
y[1] (numeric) = 16.1541776567008364441794150018
absolute error = 1.39e-28
relative error = 8.6045853248581849703837386812697e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.222
y[1] (analytic) = 16.159192924523469426620948505232
y[1] (numeric) = 16.159192924523469426620948505371
absolute error = 1.39e-28
relative error = 8.6019147521316616355077660746026e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.223
y[1] (analytic) = 16.164208192346102409062482008803
y[1] (numeric) = 16.164208192346102409062482008942
absolute error = 1.39e-28
relative error = 8.5992458366019900060831592591900e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.224
y[1] (analytic) = 16.169223460168735391504015512374
y[1] (numeric) = 16.169223460168735391504015512513
absolute error = 1.39e-28
relative error = 8.5965785767271134583145230435388e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.225
y[1] (analytic) = 16.174238727991368373945549015945
y[1] (numeric) = 16.174238727991368373945549016084
absolute error = 1.39e-28
relative error = 8.5939129709668879967770611759283e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.226
y[1] (analytic) = 16.179253995814001356387082519516
y[1] (numeric) = 16.179253995814001356387082519655
absolute error = 1.39e-28
relative error = 8.5912490177830792900204656826932e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.227
y[1] (analytic) = 16.184269263636634338828616023086
y[1] (numeric) = 16.184269263636634338828616023226
absolute error = 1.40e-28
relative error = 8.6503751092770529470204036556032e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.228
y[1] (analytic) = 16.189284531459267321270149526657
y[1] (numeric) = 16.189284531459267321270149526797
absolute error = 1.40e-28
relative error = 8.6476953152531133395399140633926e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.229
y[1] (analytic) = 16.194299799281900303711683030228
y[1] (numeric) = 16.194299799281900303711683030368
absolute error = 1.40e-28
relative error = 8.6450171810582378011876254557544e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 16.199315067104533286153216533799
y[1] (numeric) = 16.199315067104533286153216533939
absolute error = 1.40e-28
relative error = 8.6423407051507894303513444571612e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.231
y[1] (analytic) = 16.20433033492716626859475003737
y[1] (numeric) = 16.20433033492716626859475003751
absolute error = 1.40e-28
relative error = 8.6396658859910398824001369844105e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.232
y[1] (analytic) = 16.209345602749799251036283540941
y[1] (numeric) = 16.209345602749799251036283541081
absolute error = 1.40e-28
relative error = 8.6369927220411664170899884271751e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.233
y[1] (analytic) = 16.214360870572432233477817044511
y[1] (numeric) = 16.214360870572432233477817044652
absolute error = 1.41e-28
relative error = 8.6959949347064293011022774206289e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.234
y[1] (analytic) = 16.219376138395065215919350548082
y[1] (numeric) = 16.219376138395065215919350548223
absolute error = 1.41e-28
relative error = 8.6933060061551904546888258815377e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.235
y[1] (analytic) = 16.224391406217698198360884051653
y[1] (numeric) = 16.224391406217698198360884051794
absolute error = 1.41e-28
relative error = 8.6906187400018194530026778673547e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.236
y[1] (analytic) = 16.229406674040331180802417555224
y[1] (numeric) = 16.229406674040331180802417555365
absolute error = 1.41e-28
relative error = 8.6879331347051563443954458902634e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.237
y[1] (analytic) = 16.234421941862964163243951058795
y[1] (numeric) = 16.234421941862964163243951058936
absolute error = 1.41e-28
relative error = 8.6852491887259456071867973126018e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.238
y[1] (analytic) = 16.239437209685597145685484562366
y[1] (numeric) = 16.239437209685597145685484562507
absolute error = 1.41e-28
relative error = 8.6825669005268332089140404264644e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.239
y[1] (analytic) = 16.244452477508230128127018065937
y[1] (numeric) = 16.244452477508230128127018066078
absolute error = 1.41e-28
relative error = 8.6798862685723636710292259650792e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 16.249467745330863110568551569507
y[1] (numeric) = 16.249467745330863110568551569649
absolute error = 1.42e-28
relative error = 8.7387477685724450620038528410971e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.241
y[1] (analytic) = 16.254483013153496093010085073078
y[1] (numeric) = 16.25448301315349609301008507322
absolute error = 1.42e-28
relative error = 8.7360514563945455109202354844660e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.242
y[1] (analytic) = 16.259498280976129075451618576649
y[1] (numeric) = 16.259498280976129075451618576791
absolute error = 1.42e-28
relative error = 8.7333568075801116597447511428606e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.243
y[1] (analytic) = 16.26451354879876205789315208022
y[1] (numeric) = 16.264513548798762057893152080362
absolute error = 1.42e-28
relative error = 8.7306638205904168982092146793567e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.244
y[1] (analytic) = 16.269528816621395040334685583791
y[1] (numeric) = 16.269528816621395040334685583933
absolute error = 1.42e-28
relative error = 8.7279724938886319361567457475812e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.245
y[1] (analytic) = 16.274544084444028022776219087362
y[1] (numeric) = 16.274544084444028022776219087504
absolute error = 1.42e-28
relative error = 8.7252828259398218800901334992768e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.246
y[1] (analytic) = 16.279559352266661005217752590932
y[1] (numeric) = 16.279559352266661005217752591075
absolute error = 1.43e-28
relative error = 8.7840215392617246060755710133753e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=209.8MB, alloc=4.1MB, time=13.18
TOP MAIN SOLVE Loop
x[1] = 3.247
y[1] (analytic) = 16.284574620089293987659286094503
y[1] (numeric) = 16.284574620089293987659286094646
absolute error = 1.43e-28
relative error = 8.7813162662283825288947654787237e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.248
y[1] (analytic) = 16.289589887911926970100819598074
y[1] (numeric) = 16.289589887911926970100819598217
absolute error = 1.43e-28
relative error = 8.7786126590035585194954752184161e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.249
y[1] (analytic) = 16.294605155734559952542353101645
y[1] (numeric) = 16.294605155734559952542353101788
absolute error = 1.43e-28
relative error = 8.7759107160491099019148364141014e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 16.299620423557192934983886605216
y[1] (numeric) = 16.299620423557192934983886605359
absolute error = 1.43e-28
relative error = 8.7732104358287870988680933875123e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.251
y[1] (analytic) = 16.304635691379825917425420108787
y[1] (numeric) = 16.30463569137982591742542010893
absolute error = 1.43e-28
relative error = 8.7705118168082307201849595538034e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.252
y[1] (analytic) = 16.309650959202458899866953612357
y[1] (numeric) = 16.309650959202458899866953612501
absolute error = 1.44e-28
relative error = 8.8291282480665418640068031407374e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.253
y[1] (analytic) = 16.314666227025091882308487115928
y[1] (numeric) = 16.314666227025091882308487116072
absolute error = 1.44e-28
relative error = 8.8264140985897307536889406128735e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.254
y[1] (analytic) = 16.319681494847724864750020619499
y[1] (numeric) = 16.319681494847724864750020619643
absolute error = 1.44e-28
relative error = 8.8237016173055913158420786151436e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.255
y[1] (analytic) = 16.32469676267035784719155412307
y[1] (numeric) = 16.324696762670357847191554123214
absolute error = 1.44e-28
relative error = 8.8209908026766187839478106954461e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.256
y[1] (analytic) = 16.329712030492990829633087626641
y[1] (numeric) = 16.329712030492990829633087626785
absolute error = 1.44e-28
relative error = 8.8182816531671972179822247585002e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.257
y[1] (analytic) = 16.334727298315623812074621130212
y[1] (numeric) = 16.334727298315623812074621130356
absolute error = 1.44e-28
relative error = 8.8155741672435966047743702221911e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.258
y[1] (analytic) = 16.339742566138256794516154633782
y[1] (numeric) = 16.339742566138256794516154633927
absolute error = 1.45e-28
relative error = 8.8740688179807336440082701405585e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.259
y[1] (analytic) = 16.344757833960889776957688137353
y[1] (numeric) = 16.344757833960889776957688137498
absolute error = 1.45e-28
relative error = 8.8713458757229917803556134145257e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 16.349773101783522759399221640924
y[1] (numeric) = 16.349773101783522759399221641069
absolute error = 1.45e-28
relative error = 8.8686246039819724577236024901653e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.261
y[1] (analytic) = 16.354788369606155741840755144495
y[1] (numeric) = 16.35478836960615574184075514464
absolute error = 1.45e-28
relative error = 8.8659050012208617639309856234096e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.262
y[1] (analytic) = 16.359803637428788724282288648066
y[1] (numeric) = 16.359803637428788724282288648211
absolute error = 1.45e-28
relative error = 8.8631870659047302919003507412441e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.263
y[1] (analytic) = 16.364818905251421706723822151637
y[1] (numeric) = 16.364818905251421706723822151782
absolute error = 1.45e-28
relative error = 8.8604707965005302519702556291566e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.264
y[1] (analytic) = 16.369834173074054689165355655207
y[1] (numeric) = 16.369834173074054689165355655353
absolute error = 1.46e-28
relative error = 8.9188441652114173659950258646450e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.265
y[1] (analytic) = 16.374849440896687671606889158778
y[1] (numeric) = 16.374849440896687671606889158924
absolute error = 1.46e-28
relative error = 8.9161125130934353086088099302300e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.266
y[1] (analytic) = 16.379864708719320654048422662349
y[1] (numeric) = 16.379864708719320654048422662495
absolute error = 1.46e-28
relative error = 8.9133825337569094557892726338643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.267
y[1] (analytic) = 16.38487997654195363648995616592
y[1] (numeric) = 16.384879976541953636489956166066
absolute error = 1.46e-28
relative error = 8.9106542256657686815450763459444e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.268
y[1] (analytic) = 16.389895244364586618931489669491
y[1] (numeric) = 16.389895244364586618931489669637
absolute error = 1.46e-28
relative error = 8.9079275872858219959020086971236e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.269
y[1] (analytic) = 16.394910512187219601373023173062
y[1] (numeric) = 16.394910512187219601373023173208
absolute error = 1.46e-28
relative error = 8.9052026170847556691978477889874e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 16.399925780009852583814556676632
y[1] (numeric) = 16.399925780009852583814556676779
absolute error = 1.47e-28
relative error = 8.9634551992412545422130228521293e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.271
y[1] (analytic) = 16.404941047832485566256090180203
y[1] (numeric) = 16.40494104783248556625609018035
absolute error = 1.47e-28
relative error = 8.9607149194493739997054676632414e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.272
y[1] (analytic) = 16.409956315655118548697623683774
y[1] (numeric) = 16.409956315655118548697623683921
absolute error = 1.47e-28
relative error = 8.9579763146451413059402765056425e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.273
y[1] (analytic) = 16.414971583477751531139157187345
y[1] (numeric) = 16.414971583477751531139157187492
absolute error = 1.47e-28
relative error = 8.9552393832932790568397753518063e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.274
y[1] (analytic) = 16.419986851300384513580690690916
y[1] (numeric) = 16.419986851300384513580690691063
absolute error = 1.47e-28
relative error = 8.9525041238603855690398853776609e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.275
y[1] (analytic) = 16.425002119123017496022224194487
y[1] (numeric) = 16.425002119123017496022224194634
absolute error = 1.47e-28
relative error = 8.9497705348149320161943770157134e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.276
y[1] (analytic) = 16.430017386945650478463757698057
y[1] (numeric) = 16.430017386945650478463757698205
absolute error = 1.48e-28
relative error = 9.0079028228900300437928586784874e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.277
y[1] (analytic) = 16.435032654768283460905291201628
y[1] (numeric) = 16.435032654768283460905291201776
absolute error = 1.48e-28
relative error = 9.0051539968836553016372917396168e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.278
y[1] (analytic) = 16.440047922590916443346824705199
y[1] (numeric) = 16.440047922590916443346824705347
absolute error = 1.48e-28
relative error = 9.0024068480133430211913987281037e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.279
y[1] (analytic) = 16.44506319041354942578835820877
y[1] (numeric) = 16.445063190413549425788358208918
absolute error = 1.48e-28
relative error = 8.9996613747446594765066803997328e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 16.450078458236182408229891712341
y[1] (numeric) = 16.450078458236182408229891712489
absolute error = 1.48e-28
relative error = 8.9969175755450422022760381191230e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.281
y[1] (analytic) = 16.455093726058815390671425215912
y[1] (numeric) = 16.45509372605881539067142521606
absolute error = 1.48e-28
relative error = 8.9941754488837971421717174735517e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.282
y[1] (analytic) = 16.460108993881448373112958719482
y[1] (numeric) = 16.460108993881448373112958719631
absolute error = 1.49e-28
relative error = 9.0521879323755559091694775548404e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.283
y[1] (analytic) = 16.465124261704081355554492223053
y[1] (numeric) = 16.465124261704081355554492223202
absolute error = 1.49e-28
relative error = 9.0494306408944789807780156366086e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.284
y[1] (analytic) = 16.470139529526714337996025726624
y[1] (numeric) = 16.470139529526714337996025726773
absolute error = 1.49e-28
relative error = 9.0466750286408570322455010155255e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.285
y[1] (analytic) = 16.475154797349347320437559230195
y[1] (numeric) = 16.475154797349347320437559230344
absolute error = 1.49e-28
relative error = 9.0439210940811490087958067990823e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.286
y[1] (analytic) = 16.480170065171980302879092733766
y[1] (numeric) = 16.480170065171980302879092733915
absolute error = 1.49e-28
relative error = 9.0411688356836806128710363161854e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.287
y[1] (analytic) = 16.485185332994613285320626237337
y[1] (numeric) = 16.485185332994613285320626237486
absolute error = 1.49e-28
relative error = 9.0384182519186414645251674277410e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.288
y[1] (analytic) = 16.490200600817246267762159740907
y[1] (numeric) = 16.490200600817246267762159741057
absolute error = 1.50e-28
relative error = 9.0963114173739083224826781141265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.289
y[1] (analytic) = 16.495215868639879250203693244478
y[1] (numeric) = 16.495215868639879250203693244628
absolute error = 1.50e-28
relative error = 9.0935457404455489706059731344626e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 16.500231136462512232645226748049
y[1] (numeric) = 16.500231136462512232645226748199
absolute error = 1.50e-28
relative error = 9.0907817447797600499462144800144e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.291
y[1] (analytic) = 16.50524640428514521508676025162
y[1] (numeric) = 16.50524640428514521508676025177
absolute error = 1.50e-28
relative error = 9.0880194288439412228268142325272e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.292
y[1] (analytic) = 16.510261672107778197528293755191
y[1] (numeric) = 16.510261672107778197528293755341
absolute error = 1.50e-28
relative error = 9.0852587911073543634031122840968e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.293
y[1] (analytic) = 16.515276939930411179969827258762
y[1] (numeric) = 16.515276939930411179969827258912
absolute error = 1.50e-28
relative error = 9.0824998300411207301315049010770e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.294
y[1] (analytic) = 16.520292207753044162411360762332
y[1] (numeric) = 16.520292207753044162411360762483
absolute error = 1.51e-28
relative error = 9.1402741610790062643448287624498e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.295
y[1] (analytic) = 16.525307475575677144852894265903
y[1] (numeric) = 16.525307475575677144852894266054
absolute error = 1.51e-28
relative error = 9.1375001780255680226864540040999e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.296
y[1] (analytic) = 16.530322743398310127294427769474
y[1] (numeric) = 16.530322743398310127294427769625
absolute error = 1.51e-28
relative error = 9.1347278782142738576310272886860e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.297
y[1] (analytic) = 16.535338011220943109735961273045
y[1] (numeric) = 16.535338011220943109735961273196
absolute error = 1.51e-28
relative error = 9.1319572601135112631943785087985e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.298
y[1] (analytic) = 16.540353279043576092177494776616
y[1] (numeric) = 16.540353279043576092177494776767
absolute error = 1.51e-28
relative error = 9.1291883221935253592334341854180e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.299
y[1] (analytic) = 16.545368546866209074619028280187
y[1] (numeric) = 16.545368546866209074619028280338
absolute error = 1.51e-28
relative error = 9.1264210629264160760084467849373e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 16.550383814688842057060561783757
y[1] (numeric) = 16.550383814688842057060561783909
absolute error = 1.52e-28
relative error = 9.1840770402615402136911170447792e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.301
y[1] (analytic) = 16.555399082511475039502095287328
y[1] (numeric) = 16.55539908251147503950209528748
absolute error = 1.52e-28
relative error = 9.1812948297070835217148398205910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.302
y[1] (analytic) = 16.560414350334108021943628790899
y[1] (numeric) = 16.560414350334108021943628791051
absolute error = 1.52e-28
relative error = 9.1785143043195283783103229096822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.303
y[1] (analytic) = 16.56542961815674100438516229447
y[1] (numeric) = 16.565429618156741004385162294622
absolute error = 1.52e-28
relative error = 9.1757354625682963079566110347473e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.304
y[1] (analytic) = 16.570444885979373986826695798041
y[1] (numeric) = 16.570444885979373986826695798193
memory used=213.6MB, alloc=4.1MB, time=13.43
absolute error = 1.52e-28
relative error = 9.1729583029246618357084401476302e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.305
y[1] (analytic) = 16.575460153802006969268229301612
y[1] (numeric) = 16.575460153802006969268229301764
absolute error = 1.52e-28
relative error = 9.1701828238617496838670760205052e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.306
y[1] (analytic) = 16.580475421624639951709762805182
y[1] (numeric) = 16.580475421624639951709762805335
absolute error = 1.53e-28
relative error = 9.2277209253272591577766202516736e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.307
y[1] (analytic) = 16.585490689447272934151296308753
y[1] (numeric) = 16.585490689447272934151296308906
absolute error = 1.53e-28
relative error = 9.2249305652046927050527688394414e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.308
y[1] (analytic) = 16.590505957269905916592829812324
y[1] (numeric) = 16.590505957269905916592829812477
absolute error = 1.53e-28
relative error = 9.2221418921196852405107335405176e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.309
y[1] (analytic) = 16.595521225092538899034363315895
y[1] (numeric) = 16.595521225092538899034363316048
absolute error = 1.53e-28
relative error = 9.2193549045427376172890621190789e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 16.600536492915171881475896819466
y[1] (numeric) = 16.600536492915171881475896819619
absolute error = 1.53e-28
relative error = 9.2165696009461990258638992604326e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.311
y[1] (analytic) = 16.605551760737804863917430323037
y[1] (numeric) = 16.60555176073780486391743032319
absolute error = 1.53e-28
relative error = 9.2137859798042642028418926463399e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.312
y[1] (analytic) = 16.610567028560437846358963826608
y[1] (numeric) = 16.610567028560437846358963826761
absolute error = 1.53e-28
relative error = 9.2110040395929706448096336207824e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.313
y[1] (analytic) = 16.615582296383070828800497330178
y[1] (numeric) = 16.615582296383070828800497330332
absolute error = 1.54e-28
relative error = 9.2684082479326154077990723985193e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.314
y[1] (analytic) = 16.620597564205703811242030833749
y[1] (numeric) = 16.620597564205703811242030833903
absolute error = 1.54e-28
relative error = 9.2656115043454299475070388824062e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.315
y[1] (analytic) = 16.62561283202833679368356433732
y[1] (numeric) = 16.625612832028336793683564337474
absolute error = 1.54e-28
relative error = 9.2628164480846922612483640592138e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.316
y[1] (analytic) = 16.630628099850969776125097840891
y[1] (numeric) = 16.630628099850969776125097841045
absolute error = 1.54e-28
relative error = 9.2600230776238705808318235392923e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.317
y[1] (analytic) = 16.635643367673602758566631344462
y[1] (numeric) = 16.635643367673602758566631344616
absolute error = 1.54e-28
relative error = 9.2572313914382739963938278131725e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.318
y[1] (analytic) = 16.640658635496235741008164848033
y[1] (numeric) = 16.640658635496235741008164848187
absolute error = 1.54e-28
relative error = 9.2544413880050496823503094804981e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.319
y[1] (analytic) = 16.645673903318868723449698351603
y[1] (numeric) = 16.645673903318868723449698351758
absolute error = 1.55e-28
relative error = 9.3117287350616423369891976982694e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 16.650689171141501705891231855174
y[1] (numeric) = 16.650689171141501705891231855329
absolute error = 1.55e-28
relative error = 9.3089239974908406374901045664324e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.321
y[1] (analytic) = 16.655704438964134688332765358745
y[1] (numeric) = 16.6557044389641346883327653589
absolute error = 1.55e-28
relative error = 9.3061209490122224981834228125731e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.322
y[1] (analytic) = 16.660719706786767670774298862316
y[1] (numeric) = 16.660719706786767670774298862471
absolute error = 1.55e-28
relative error = 9.3033195881004186985150954727740e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.323
y[1] (analytic) = 16.665734974609400653215832365887
y[1] (numeric) = 16.665734974609400653215832366042
absolute error = 1.55e-28
relative error = 9.3005199132318961530144890642657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.324
y[1] (analytic) = 16.670750242432033635657365869458
y[1] (numeric) = 16.670750242432033635657365869613
absolute error = 1.55e-28
relative error = 9.2977219228849551493583475212258e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.325
y[1] (analytic) = 16.675765510254666618098899373028
y[1] (numeric) = 16.675765510254666618098899373184
absolute error = 1.56e-28
relative error = 9.3548928775754667629762308164865e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.326
y[1] (analytic) = 16.680780778077299600540432876599
y[1] (numeric) = 16.680780778077299600540432876755
absolute error = 1.56e-28
relative error = 9.3520802218696413069440671872572e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.327
y[1] (analytic) = 16.68579604589993258298196638017
y[1] (numeric) = 16.685796045899932582981966380326
absolute error = 1.56e-28
relative error = 9.3492692569697706603234047083911e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.328
y[1] (analytic) = 16.690811313722565565423499883741
y[1] (numeric) = 16.690811313722565565423499883897
absolute error = 1.56e-28
relative error = 9.3464599813516908013509517622647e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.329
y[1] (analytic) = 16.695826581545198547865033387312
y[1] (numeric) = 16.695826581545198547865033387468
absolute error = 1.56e-28
relative error = 9.3436523934930690858804348046910e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 16.700841849367831530306566890883
y[1] (numeric) = 16.700841849367831530306566891039
absolute error = 1.56e-28
relative error = 9.3408464918734014975663565960409e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.331
y[1] (analytic) = 16.705857117190464512748100394453
y[1] (numeric) = 16.70585711719046451274810039461
absolute error = 1.57e-28
relative error = 9.3979015203264074023791017019152e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.332
y[1] (analytic) = 16.710872385013097495189633898024
y[1] (numeric) = 16.710872385013097495189633898181
absolute error = 1.57e-28
relative error = 9.3950810216708472560998762812362e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.333
y[1] (analytic) = 16.715887652835730477631167401595
y[1] (numeric) = 16.715887652835730477631167401752
absolute error = 1.57e-28
relative error = 9.3922622154837272899264289736210e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.334
y[1] (analytic) = 16.720902920658363460072700905166
y[1] (numeric) = 16.720902920658363460072700905323
absolute error = 1.57e-28
relative error = 9.3894451002421304910992164874260e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.335
y[1] (analytic) = 16.725918188480996442514234408737
y[1] (numeric) = 16.725918188480996442514234408894
absolute error = 1.57e-28
relative error = 9.3866296744249664339804461076696e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.336
y[1] (analytic) = 16.730933456303629424955767912308
y[1] (numeric) = 16.730933456303629424955767912465
absolute error = 1.57e-28
relative error = 9.3838159365129685423635454943279e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.337
y[1] (analytic) = 16.735948724126262407397301415878
y[1] (numeric) = 16.735948724126262407397301416036
absolute error = 1.58e-28
relative error = 9.4407555020905301551554114693860e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.338
y[1] (analytic) = 16.740963991948895389838834919449
y[1] (numeric) = 16.740963991948895389838834919607
absolute error = 1.58e-28
relative error = 9.4379272350138104037608172778133e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.339
y[1] (analytic) = 16.74597925977152837228036842302
y[1] (numeric) = 16.745979259771528372280368423178
absolute error = 1.58e-28
relative error = 9.4351006620174001580573848677270e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 16.750994527594161354721901926591
y[1] (numeric) = 16.750994527594161354721901926749
absolute error = 1.58e-28
relative error = 9.4322757815796703975310203812396e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.341
y[1] (analytic) = 16.756009795416794337163435430162
y[1] (numeric) = 16.75600979541679433716343543032
absolute error = 1.58e-28
relative error = 9.4294525921808138664332858645136e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.342
y[1] (analytic) = 16.761025063239427319604968933733
y[1] (numeric) = 16.761025063239427319604968933891
absolute error = 1.58e-28
relative error = 9.4266310923028423482207085796946e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.343
y[1] (analytic) = 16.766040331062060302046502437303
y[1] (numeric) = 16.766040331062060302046502437462
absolute error = 1.59e-28
relative error = 9.4834556556221762483345582942276e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.344
y[1] (analytic) = 16.771055598884693284488035940874
y[1] (numeric) = 16.771055598884693284488035941033
absolute error = 1.59e-28
relative error = 9.4806196940026720090258458066993e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.345
y[1] (analytic) = 16.776070866707326266929569444445
y[1] (numeric) = 16.776070866707326266929569444604
absolute error = 1.59e-28
relative error = 9.4777854280253916885448216375492e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.346
y[1] (analytic) = 16.781086134529959249371102948016
y[1] (numeric) = 16.781086134529959249371102948175
absolute error = 1.59e-28
relative error = 9.4749528561700344286259499036467e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.347
y[1] (analytic) = 16.786101402352592231812636451587
y[1] (numeric) = 16.786101402352592231812636451746
absolute error = 1.59e-28
relative error = 9.4721219769181162826956762406936e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.348
y[1] (analytic) = 16.791116670175225214254169955158
y[1] (numeric) = 16.791116670175225214254169955317
absolute error = 1.59e-28
relative error = 9.4692927887529675024439750231784e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.349
y[1] (analytic) = 16.796131937997858196695703458728
y[1] (numeric) = 16.796131937997858196695703458888
absolute error = 1.60e-28
relative error = 9.5260028077079042306990888867914e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 16.801147205820491179137236962299
y[1] (numeric) = 16.801147205820491179137236962459
absolute error = 1.60e-28
relative error = 9.5231592247802302294361936363773e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.351
y[1] (analytic) = 16.80616247364312416157877046587
y[1] (numeric) = 16.80616247364312416157877046603
absolute error = 1.60e-28
relative error = 9.5203173390073922019132344619110e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.352
y[1] (analytic) = 16.811177741465757144020303969441
y[1] (numeric) = 16.811177741465757144020303969601
absolute error = 1.60e-28
relative error = 9.5174771488704568223780574826562e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.353
y[1] (analytic) = 16.816193009288390126461837473012
y[1] (numeric) = 16.816193009288390126461837473172
absolute error = 1.60e-28
relative error = 9.5146386528523027940981952525688e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.354
y[1] (analytic) = 16.821208277111023108903370976583
y[1] (numeric) = 16.821208277111023108903370976743
absolute error = 1.60e-28
relative error = 9.5118018494376181480653693148070e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.355
y[1] (analytic) = 16.826223544933656091344904480153
y[1] (numeric) = 16.826223544933656091344904480314
absolute error = 1.61e-28
relative error = 9.5683977792198531561967418736590e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.356
y[1] (analytic) = 16.831238812756289073786437983724
y[1] (numeric) = 16.831238812756289073786437983885
absolute error = 1.61e-28
relative error = 9.5655466475812298388081254428265e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.357
y[1] (analytic) = 16.836254080578922056227971487295
y[1] (numeric) = 16.836254080578922056227971487456
absolute error = 1.61e-28
relative error = 9.5626972145613962880667467936031e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.358
y[1] (analytic) = 16.841269348401555038669504990866
y[1] (numeric) = 16.841269348401555038669504991027
absolute error = 1.61e-28
relative error = 9.5598494786428252945324803413118e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.359
y[1] (analytic) = 16.846284616224188021111038494437
y[1] (numeric) = 16.846284616224188021111038494598
absolute error = 1.61e-28
relative error = 9.5570034383097967666091303918204e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 16.851299884046821003552571998008
y[1] (numeric) = 16.851299884046821003552571998169
absolute error = 1.61e-28
relative error = 9.5541590920483950413809729125371e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.361
y[1] (analytic) = 16.856315151869453985994105501578
y[1] (numeric) = 16.85631515186945398599410550174
absolute error = 1.62e-28
relative error = 9.6106413851685341890713743797643e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=217.4MB, alloc=4.1MB, time=13.68
x[1] = 3.362
y[1] (analytic) = 16.861330419692086968435639005149
y[1] (numeric) = 16.861330419692086968435639005311
absolute error = 1.62e-28
relative error = 9.6077827767850813234589200744757e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.363
y[1] (analytic) = 16.86634568751471995087717250872
y[1] (numeric) = 16.866345687514719950877172508882
absolute error = 1.62e-28
relative error = 9.6049258684363495121822448083221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.364
y[1] (analytic) = 16.871360955337352933318706012291
y[1] (numeric) = 16.871360955337352933318706012453
absolute error = 1.62e-28
relative error = 9.6020706586062554724937245215181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.365
y[1] (analytic) = 16.876376223159985915760239515862
y[1] (numeric) = 16.876376223159985915760239516024
absolute error = 1.62e-28
relative error = 9.5992171457805181008822850788667e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.366
y[1] (analytic) = 16.881391490982618898201773019433
y[1] (numeric) = 16.881391490982618898201773019595
absolute error = 1.62e-28
relative error = 9.5963653284466557960394798842502e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.367
y[1] (analytic) = 16.886406758805251880643306523003
y[1] (numeric) = 16.886406758805251880643306523166
absolute error = 1.63e-28
relative error = 9.6527344347550577605873803369912e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.368
y[1] (analytic) = 16.891422026627884863084840026574
y[1] (numeric) = 16.891422026627884863084840026737
absolute error = 1.63e-28
relative error = 9.6498684209680164726537142501927e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.369
y[1] (analytic) = 16.896437294450517845526373530145
y[1] (numeric) = 16.896437294450517845526373530308
absolute error = 1.63e-28
relative error = 9.6470041085842325556241346377705e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 16.901452562273150827967907033716
y[1] (numeric) = 16.901452562273150827967907033879
absolute error = 1.63e-28
relative error = 9.6441414960891037032337417194803e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.371
y[1] (analytic) = 16.906467830095783810409440537287
y[1] (numeric) = 16.90646783009578381040944053745
absolute error = 1.63e-28
relative error = 9.6412805819698248234641677824527e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.372
y[1] (analytic) = 16.911483097918416792850974040858
y[1] (numeric) = 16.911483097918416792850974041021
absolute error = 1.63e-28
relative error = 9.6384213647153853736351451941423e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.373
y[1] (analytic) = 16.916498365741049775292507544428
y[1] (numeric) = 16.916498365741049775292507544592
absolute error = 1.64e-28
relative error = 9.6946777314228033057594218496624e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.374
y[1] (analytic) = 16.921513633563682757734041047999
y[1] (numeric) = 16.921513633563682757734041048163
absolute error = 1.64e-28
relative error = 9.6918043829546874778679697388592e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.375
y[1] (analytic) = 16.92652890138631574017557455157
y[1] (numeric) = 16.926528901386315740175574551734
absolute error = 1.64e-28
relative error = 9.6889327372115897926893421922698e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.376
y[1] (analytic) = 16.931544169208948722617108055141
y[1] (numeric) = 16.931544169208948722617108055305
absolute error = 1.64e-28
relative error = 9.6860627926804252222531190458857e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.377
y[1] (analytic) = 16.936559437031581705058641558712
y[1] (numeric) = 16.936559437031581705058641558876
absolute error = 1.64e-28
relative error = 9.6831945478499009624893485042671e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.378
y[1] (analytic) = 16.941574704854214687500175062283
y[1] (numeric) = 16.941574704854214687500175062447
absolute error = 1.64e-28
relative error = 9.6803280012105137804400621370366e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.379
y[1] (analytic) = 16.946589972676847669941708565853
y[1] (numeric) = 16.946589972676847669941708566018
absolute error = 1.65e-28
relative error = 9.7364720729085385086579905898706e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 16.951605240499480652383242069424
y[1] (numeric) = 16.951605240499480652383242069589
absolute error = 1.65e-28
relative error = 9.7335914598692164558447781666191e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.381
y[1] (analytic) = 16.956620508322113634824775572995
y[1] (numeric) = 16.95662050832211363482477557316
absolute error = 1.65e-28
relative error = 9.7307125508305092046008134289181e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.382
y[1] (analytic) = 16.961635776144746617266309076566
y[1] (numeric) = 16.961635776144746617266309076731
absolute error = 1.65e-28
relative error = 9.7278353442808845714829539335221e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.383
y[1] (analytic) = 16.966651043967379599707842580137
y[1] (numeric) = 16.966651043967379599707842580302
absolute error = 1.65e-28
relative error = 9.7249598387105975822510642043073e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.384
y[1] (analytic) = 16.971666311790012582149376083708
y[1] (numeric) = 16.971666311790012582149376083873
absolute error = 1.65e-28
relative error = 9.7220860326116878311924793744596e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.385
y[1] (analytic) = 16.976681579612645564590909587279
y[1] (numeric) = 16.976681579612645564590909587444
absolute error = 1.65e-28
relative error = 9.7192139244779768451271344765645e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.386
y[1] (analytic) = 16.981696847435278547032443090849
y[1] (numeric) = 16.981696847435278547032443091015
absolute error = 1.66e-28
relative error = 9.7752304431857022123993415556510e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.387
y[1] (analytic) = 16.98671211525791152947397659442
y[1] (numeric) = 16.986712115257911529473976594586
absolute error = 1.66e-28
relative error = 9.7723443403090604343620225885544e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.388
y[1] (analytic) = 16.991727383080544511915510097991
y[1] (numeric) = 16.991727383080544511915510098157
absolute error = 1.66e-28
relative error = 9.7694599411531250564298023929851e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.389
y[1] (analytic) = 16.996742650903177494357043601562
y[1] (numeric) = 16.996742650903177494357043601728
absolute error = 1.66e-28
relative error = 9.7665772442097337536689791995967e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 17.001757918725810476798577105133
y[1] (numeric) = 17.001757918725810476798577105299
absolute error = 1.66e-28
relative error = 9.7636962479725037437121446924581e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.391
y[1] (analytic) = 17.006773186548443459240110608704
y[1] (numeric) = 17.00677318654844345924011060887
absolute error = 1.66e-28
relative error = 9.7608169509368291628381511375501e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.392
y[1] (analytic) = 17.011788454371076441681644112274
y[1] (numeric) = 17.011788454371076441681644112441
absolute error = 1.67e-28
relative error = 9.8167221187781909674566600270330e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.393
y[1] (analytic) = 17.016803722193709424123177615845
y[1] (numeric) = 17.016803722193709424123177616012
absolute error = 1.67e-28
relative error = 9.8138288909211976898358357829931e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.394
y[1] (analytic) = 17.021818990016342406564711119416
y[1] (numeric) = 17.021818990016342406564711119583
absolute error = 1.67e-28
relative error = 9.8109373679716039368335270511771e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.395
y[1] (analytic) = 17.026834257838975389006244622987
y[1] (numeric) = 17.026834257838975389006244623154
absolute error = 1.67e-28
relative error = 9.8080475484228641418594965572003e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.396
y[1] (analytic) = 17.031849525661608371447778126558
y[1] (numeric) = 17.031849525661608371447778126725
absolute error = 1.67e-28
relative error = 9.8051594307702072325126592496156e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.397
y[1] (analytic) = 17.036864793484241353889311630129
y[1] (numeric) = 17.036864793484241353889311630296
absolute error = 1.67e-28
relative error = 9.8022730135106340187262263207813e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.398
y[1] (analytic) = 17.041880061306874336330845133699
y[1] (numeric) = 17.041880061306874336330845133867
absolute error = 1.68e-28
relative error = 9.8580672669701176668751651312412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.399
y[1] (analytic) = 17.04689532912950731877237863727
y[1] (numeric) = 17.046895329129507318772378637438
absolute error = 1.68e-28
relative error = 9.8551669823961341076910300429412e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 17.051910596952140301213912140841
y[1] (numeric) = 17.051910596952140301213912141009
absolute error = 1.68e-28
relative error = 9.8522684038718999506005326811638e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.401
y[1] (analytic) = 17.056925864774773283655445644412
y[1] (numeric) = 17.05692586477477328365544564458
absolute error = 1.68e-28
relative error = 9.8493715298925197977188506662618e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.402
y[1] (analytic) = 17.061941132597406266096979147983
y[1] (numeric) = 17.061941132597406266096979148151
absolute error = 1.68e-28
relative error = 9.8464763589548676754972989758837e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.403
y[1] (analytic) = 17.066956400420039248538512651554
y[1] (numeric) = 17.066956400420039248538512651722
absolute error = 1.68e-28
relative error = 9.8435828895575844349226597460934e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.404
y[1] (analytic) = 17.071971668242672230980046155124
y[1] (numeric) = 17.071971668242672230980046155293
absolute error = 1.69e-28
relative error = 9.8992666625832244131817366099351e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.405
y[1] (analytic) = 17.076986936065305213421579658695
y[1] (numeric) = 17.076986936065305213421579658864
absolute error = 1.69e-28
relative error = 9.8963593889671940976418888165107e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.406
y[1] (analytic) = 17.082002203887938195863113162266
y[1] (numeric) = 17.082002203887938195863113162435
absolute error = 1.69e-28
relative error = 9.8934538224994996777658929595474e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.407
y[1] (analytic) = 17.087017471710571178304646665837
y[1] (numeric) = 17.087017471710571178304646666006
absolute error = 1.69e-28
relative error = 9.8905499616769286476285974230168e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.408
y[1] (analytic) = 17.092032739533204160746180169408
y[1] (numeric) = 17.092032739533204160746180169577
absolute error = 1.69e-28
relative error = 9.8876478049980328352319927876226e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.409
y[1] (analytic) = 17.097048007355837143187713672979
y[1] (numeric) = 17.097048007355837143187713673148
absolute error = 1.69e-28
relative error = 9.8847473509631258147464451218004e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 17.102063275178470125629247176549
y[1] (numeric) = 17.102063275178470125629247176719
absolute error = 1.70e-28
relative error = 9.9403210749859624553957336435428e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.411
y[1] (analytic) = 17.10707854300110310807078068012
y[1] (numeric) = 17.10707854300110310807078068029
absolute error = 1.70e-28
relative error = 9.9374068794201500946641605759251e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.412
y[1] (analytic) = 17.112093810823736090512314183691
y[1] (numeric) = 17.112093810823736090512314183861
absolute error = 1.70e-28
relative error = 9.9344943920580691597008944092849e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.413
y[1] (analytic) = 17.117109078646369072953847687262
y[1] (numeric) = 17.117109078646369072953847687432
absolute error = 1.70e-28
relative error = 9.9315836113982220840607828082273e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.414
y[1] (analytic) = 17.122124346469002055395381190833
y[1] (numeric) = 17.122124346469002055395381191003
absolute error = 1.70e-28
relative error = 9.9286745359408705251609407511657e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.415
y[1] (analytic) = 17.127139614291635037836914694404
y[1] (numeric) = 17.127139614291635037836914694574
absolute error = 1.70e-28
relative error = 9.9257671641880327885503518958944e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.416
y[1] (analytic) = 17.132154882114268020278448197974
y[1] (numeric) = 17.132154882114268020278448198145
absolute error = 1.71e-28
relative error = 9.9812312681413840876253723737537e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.417
y[1] (analytic) = 17.137170149936901002719981701545
y[1] (numeric) = 17.137170149936901002719981701716
absolute error = 1.71e-28
relative error = 9.9783102171410500565783646557630e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.418
y[1] (analytic) = 17.142185417759533985161515205116
y[1] (numeric) = 17.142185417759533985161515205287
absolute error = 1.71e-28
relative error = 9.9753908753572170986917121207554e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.419
y[1] (analytic) = 17.147200685582166967603048708687
y[1] (numeric) = 17.147200685582166967603048708858
absolute error = 1.71e-28
relative error = 9.9724732412901339699702462792458e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
memory used=221.2MB, alloc=4.1MB, time=13.92
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 17.152215953404799950044582212258
y[1] (numeric) = 17.152215953404799950044582212429
absolute error = 1.71e-28
relative error = 9.9695573134418035214410152130822e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.421
y[1] (analytic) = 17.157231221227432932486115715829
y[1] (numeric) = 17.157231221227432932486115716
absolute error = 1.71e-28
relative error = 9.9666430903159801354365016161184e-28 %
Correct digits = 29
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.422
y[1] (analytic) = 17.162246489050065914927649219399
y[1] (numeric) = 17.162246489050065914927649219571
absolute error = 1.72e-28
relative error = 1.0021998000654530717053504480714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.423
y[1] (analytic) = 17.16726175687269889736918272297
y[1] (numeric) = 17.167261756872698897369182723142
absolute error = 1.72e-28
relative error = 1.0019070160163541955523544356706e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.424
y[1] (analytic) = 17.172277024695331879810716226541
y[1] (numeric) = 17.172277024695331879810716226713
absolute error = 1.72e-28
relative error = 1.0016144029859755874344945190714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.425
y[1] (analytic) = 17.177292292517964862252249730112
y[1] (numeric) = 17.177292292517964862252249730284
absolute error = 1.72e-28
relative error = 1.0013219608245198281388932068030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.426
y[1] (analytic) = 17.182307560340597844693783233683
y[1] (numeric) = 17.182307560340597844693783233855
absolute error = 1.72e-28
relative error = 1.0010296893823643932795415158495e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.427
y[1] (analytic) = 17.187322828163230827135316737254
y[1] (numeric) = 17.187322828163230827135316737426
absolute error = 1.72e-28
relative error = 1.0007375885100613981253893298221e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.428
y[1] (analytic) = 17.192338095985863809576850240824
y[1] (numeric) = 17.192338095985863809576850240997
absolute error = 1.73e-28
relative error = 1.0062622025819323274266602286250e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.429
y[1] (analytic) = 17.197353363808496792018383744395
y[1] (numeric) = 17.197353363808496792018383744568
absolute error = 1.73e-28
relative error = 1.0059687461215701424376177497015e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 17.202368631631129774459917247966
y[1] (numeric) = 17.202368631631129774459917248139
absolute error = 1.73e-28
relative error = 1.0056754607728466526001723800952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.431
y[1] (analytic) = 17.207383899453762756901450751537
y[1] (numeric) = 17.20738389945376275690145075171
absolute error = 1.73e-28
relative error = 1.0053823463861451525556955009404e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.432
y[1] (analytic) = 17.212399167276395739342984255108
y[1] (numeric) = 17.212399167276395739342984255281
absolute error = 1.73e-28
relative error = 1.0050894028120233153900324195007e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.433
y[1] (analytic) = 17.217414435099028721784517758679
y[1] (numeric) = 17.217414435099028721784517758852
absolute error = 1.73e-28
relative error = 1.0047966299012129386596537325157e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.434
y[1] (analytic) = 17.222429702921661704226051262249
y[1] (numeric) = 17.222429702921661704226051262423
absolute error = 1.74e-28
relative error = 1.0103104091664961052596020076158e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.435
y[1] (analytic) = 17.22744497074429468666758476582
y[1] (numeric) = 17.227444970744294686667584765994
absolute error = 1.74e-28
relative error = 1.0100162867766368633075613665656e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.436
y[1] (analytic) = 17.232460238566927669109118269391
y[1] (numeric) = 17.232460238566927669109118269565
absolute error = 1.74e-28
relative error = 1.0097223355872373764439677806032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.437
y[1] (analytic) = 17.237475506389560651550651772962
y[1] (numeric) = 17.237475506389560651550651773136
absolute error = 1.74e-28
relative error = 1.0094285554488645986213189683307e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.438
y[1] (analytic) = 17.242490774212193633992185276533
y[1] (numeric) = 17.242490774212193633992185276707
absolute error = 1.74e-28
relative error = 1.0091349462122593442296315573451e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.439
y[1] (analytic) = 17.247506042034826616433718780104
y[1] (numeric) = 17.247506042034826616433718780278
absolute error = 1.74e-28
relative error = 1.0088415077283360353188349212424e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 17.252521309857459598875252283674
y[1] (numeric) = 17.252521309857459598875252283849
absolute error = 1.75e-28
relative error = 1.0143444941001834978210335245869e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.441
y[1] (analytic) = 17.257536577680092581316785787245
y[1] (numeric) = 17.25753657768009258131678578742
absolute error = 1.75e-28
relative error = 1.0140497122071000385075138984536e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.442
y[1] (analytic) = 17.262551845502725563758319290816
y[1] (numeric) = 17.262551845502725563758319290991
absolute error = 1.75e-28
relative error = 1.0137551015992536991587319362518e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.443
y[1] (analytic) = 17.267567113325358546199852794387
y[1] (numeric) = 17.267567113325358546199852794562
absolute error = 1.75e-28
relative error = 1.0134606621273979763300480175948e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.444
y[1] (analytic) = 17.272582381147991528641386297958
y[1] (numeric) = 17.272582381147991528641386298133
absolute error = 1.75e-28
relative error = 1.0131663936424597074635178062075e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.445
y[1] (analytic) = 17.277597648970624511082919801529
y[1] (numeric) = 17.277597648970624511082919801704
absolute error = 1.75e-28
relative error = 1.0128722959955388193046024164234e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.446
y[1] (analytic) = 17.282612916793257493524453305099
y[1] (numeric) = 17.282612916793257493524453305275
absolute error = 1.76e-28
relative error = 1.0183645311466961229098193136985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.447
y[1] (analytic) = 17.28762818461589047596598680867
y[1] (numeric) = 17.287628184615890475965986808846
absolute error = 1.76e-28
relative error = 1.0180690961217043340723055860183e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.448
y[1] (analytic) = 17.292643452438523458407520312241
y[1] (numeric) = 17.292643452438523458407520312417
absolute error = 1.76e-28
relative error = 1.0177738324627363223744887920548e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.449
y[1] (analytic) = 17.297658720261156440849053815812
y[1] (numeric) = 17.297658720261156440849053815988
absolute error = 1.76e-28
relative error = 1.0174787400207349491293816628023e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 17.302673988083789423290587319383
y[1] (numeric) = 17.302673988083789423290587319559
absolute error = 1.76e-28
relative error = 1.0171838186468158955209383637696e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.451
y[1] (analytic) = 17.307689255906422405732120822954
y[1] (numeric) = 17.30768925590642240573212082313
absolute error = 1.76e-28
relative error = 1.0168890681922674122130505230382e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.452
y[1] (analytic) = 17.312704523729055388173654326524
y[1] (numeric) = 17.312704523729055388173654326701
absolute error = 1.77e-28
relative error = 1.0223705935568941038789453607854e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.453
y[1] (analytic) = 17.317719791551688370615187830095
y[1] (numeric) = 17.317719791551688370615187830272
absolute error = 1.77e-28
relative error = 1.0220745117168834192267939141127e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.454
y[1] (analytic) = 17.322735059374321353056721333666
y[1] (numeric) = 17.322735059374321353056721333843
absolute error = 1.77e-28
relative error = 1.0217786013197447731876431341723e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.455
y[1] (analytic) = 17.327750327196954335498254837237
y[1] (numeric) = 17.327750327196954335498254837414
absolute error = 1.77e-28
relative error = 1.0214828622166131538611054661161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.456
y[1] (analytic) = 17.332765595019587317939788340808
y[1] (numeric) = 17.332765595019587317939788340985
absolute error = 1.77e-28
relative error = 1.0211872942587958468142706555067e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.457
y[1] (analytic) = 17.337780862842220300381321844379
y[1] (numeric) = 17.337780862842220300381321844556
absolute error = 1.77e-28
relative error = 1.0208918972977721858808560559535e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.458
y[1] (analytic) = 17.34279613066485328282285534795
y[1] (numeric) = 17.342796130664853282822855348127
absolute error = 1.77e-28
relative error = 1.0205966711851933043927470750234e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.459
y[1] (analytic) = 17.34781139848748626526438885152
y[1] (numeric) = 17.347811398487486265264388851698
absolute error = 1.78e-28
relative error = 1.0260660316812032534353863590221e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 17.352826666310119247705922355091
y[1] (numeric) = 17.352826666310119247705922355269
absolute error = 1.78e-28
relative error = 1.0257694808049948131887287329068e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.461
y[1] (analytic) = 17.357841934132752230147455858662
y[1] (numeric) = 17.35784193413275223014745585884
absolute error = 1.78e-28
relative error = 1.0254731012959497410092462917819e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.462
y[1] (analytic) = 17.362857201955385212588989362233
y[1] (numeric) = 17.362857201955385212588989362411
absolute error = 1.78e-28
relative error = 1.0251768930055696284324094211026e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.463
y[1] (analytic) = 17.367872469778018195030522865804
y[1] (numeric) = 17.367872469778018195030522865982
absolute error = 1.78e-28
relative error = 1.0248808557855275927326021992080e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.464
y[1] (analytic) = 17.372887737600651177472056369375
y[1] (numeric) = 17.372887737600651177472056369553
absolute error = 1.78e-28
relative error = 1.0245849894876680293397810091967e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.465
y[1] (analytic) = 17.377903005423284159913589872945
y[1] (numeric) = 17.377903005423284159913589873124
absolute error = 1.79e-28
relative error = 1.0300437281997592094302693928668e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.466
y[1] (analytic) = 17.382918273245917142355123376516
y[1] (numeric) = 17.382918273245917142355123376695
absolute error = 1.79e-28
relative error = 1.0297465430502497578407049758464e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.467
y[1] (analytic) = 17.387933541068550124796656880087
y[1] (numeric) = 17.387933541068550124796656880266
absolute error = 1.79e-28
relative error = 1.0294495293372268995315498835545e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.468
y[1] (analytic) = 17.392948808891183107238190383658
y[1] (numeric) = 17.392948808891183107238190383837
absolute error = 1.79e-28
relative error = 1.0291526869123891755120771183055e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.469
y[1] (analytic) = 17.397964076713816089679723887229
y[1] (numeric) = 17.397964076713816089679723887408
absolute error = 1.79e-28
relative error = 1.0288560156276061287621457037427e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 17.4029793445364490721212573908
y[1] (numeric) = 17.402979344536449072121257390979
absolute error = 1.79e-28
relative error = 1.0285595153349180578316666992171e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.471
y[1] (analytic) = 17.40799461235908205456279089437
y[1] (numeric) = 17.40799461235908205456279089455
absolute error = 1.80e-28
relative error = 1.0340076729585275908149713271996e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.472
y[1] (analytic) = 17.413009880181715037004324397941
y[1] (numeric) = 17.413009880181715037004324398121
absolute error = 1.80e-28
relative error = 1.0337098596886662637438840658726e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.473
y[1] (analytic) = 17.418025148004348019445857901512
y[1] (numeric) = 17.418025148004348019445857901692
absolute error = 1.80e-28
relative error = 1.0334122179208319227523079403138e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.474
y[1] (analytic) = 17.423040415826981001887391405083
y[1] (numeric) = 17.423040415826981001887391405263
absolute error = 1.80e-28
relative error = 1.0331147475069226447089134935837e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.475
y[1] (analytic) = 17.428055683649613984328924908654
y[1] (numeric) = 17.428055683649613984328924908834
absolute error = 1.80e-28
relative error = 1.0328174482990069835161915040891e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.476
y[1] (analytic) = 17.433070951472246966770458412225
y[1] (numeric) = 17.433070951472246966770458412405
absolute error = 1.80e-28
relative error = 1.0325203201493237248903237850143e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.477
y[1] (analytic) = 17.438086219294879949211991915795
y[1] (numeric) = 17.438086219294879949211991915976
absolute error = 1.81e-28
relative error = 1.0379579371486720951284577242266e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=225.0MB, alloc=4.1MB, time=14.16
TOP MAIN SOLVE Loop
x[1] = 3.478
y[1] (analytic) = 17.443101487117512931653525419366
y[1] (numeric) = 17.443101487117512931653525419547
absolute error = 1.81e-28
relative error = 1.0376595018590951336289958329890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.479
y[1] (analytic) = 17.448116754940145914095058922937
y[1] (numeric) = 17.448116754940145914095058923118
absolute error = 1.81e-28
relative error = 1.0373612381333523641165988810393e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 17.453132022762778896536592426508
y[1] (numeric) = 17.453132022762778896536592426689
absolute error = 1.81e-28
relative error = 1.0370631458235439295292090537747e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.481
y[1] (analytic) = 17.458147290585411878978125930079
y[1] (numeric) = 17.45814729058541187897812593026
absolute error = 1.81e-28
relative error = 1.0367652247819399238039780256064e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.482
y[1] (analytic) = 17.46316255840804486141965943365
y[1] (numeric) = 17.463162558408044861419659433831
absolute error = 1.81e-28
relative error = 1.0364674748609801478350509784996e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.483
y[1] (analytic) = 17.46817782623067784386119293722
y[1] (numeric) = 17.468177826230677843861192937402
absolute error = 1.82e-28
relative error = 1.0418945914708057656630862869831e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.484
y[1] (analytic) = 17.473193094053310826302726440791
y[1] (numeric) = 17.473193094053310826302726440973
absolute error = 1.82e-28
relative error = 1.0415955402103376813445836789788e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.485
y[1] (analytic) = 17.478208361875943808744259944362
y[1] (numeric) = 17.478208361875943808744259944544
absolute error = 1.82e-28
relative error = 1.0412966605718268240472107711799e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.486
y[1] (analytic) = 17.483223629698576791185793447933
y[1] (numeric) = 17.483223629698576791185793448115
absolute error = 1.82e-28
relative error = 1.0409979524075778777408288977516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.487
y[1] (analytic) = 17.488238897521209773627326951504
y[1] (numeric) = 17.488238897521209773627326951686
absolute error = 1.82e-28
relative error = 1.0406994155700649503310953649446e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.488
y[1] (analytic) = 17.493254165343842756068860455075
y[1] (numeric) = 17.493254165343842756068860455257
absolute error = 1.82e-28
relative error = 1.0404010499119313307925830096221e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.489
y[1] (analytic) = 17.498269433166475738510393958645
y[1] (numeric) = 17.498269433166475738510393958828
absolute error = 1.83e-28
relative error = 1.0458177061392089678553773482339e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 17.503284700989108720951927462216
y[1] (numeric) = 17.503284700989108720951927462399
absolute error = 1.83e-28
relative error = 1.0455180449053581916468227988505e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.491
y[1] (analytic) = 17.508299968811741703393460965787
y[1] (numeric) = 17.50829996881174170339346096597
absolute error = 1.83e-28
relative error = 1.0452185553479519017036412397560e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.492
y[1] (analytic) = 17.513315236634374685834994469358
y[1] (numeric) = 17.513315236634374685834994469541
absolute error = 1.83e-28
relative error = 1.0449192373195017436561888797217e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.493
y[1] (analytic) = 17.518330504457007668276527972929
y[1] (numeric) = 17.518330504457007668276527973112
absolute error = 1.83e-28
relative error = 1.0446200906726882590459237240161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.494
y[1] (analytic) = 17.5233457722796406507180614765
y[1] (numeric) = 17.523345772279640650718061476683
absolute error = 1.83e-28
relative error = 1.0443211152603606436311996473921e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.495
y[1] (analytic) = 17.52836104010227363315959498007
y[1] (numeric) = 17.528361040102273633159594980254
absolute error = 1.84e-28
relative error = 1.0497273508860039187096691268711e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.496
y[1] (analytic) = 17.533376307924906615601128483641
y[1] (numeric) = 17.533376307924906615601128483825
absolute error = 1.84e-28
relative error = 1.0494270856254530022569489697982e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.497
y[1] (analytic) = 17.538391575747539598042661987212
y[1] (numeric) = 17.538391575747539598042661987396
absolute error = 1.84e-28
relative error = 1.0491269920922458381156115523061e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.498
y[1] (analytic) = 17.543406843570172580484195490783
y[1] (numeric) = 17.543406843570172580484195490967
absolute error = 1.84e-28
relative error = 1.0488270701391034007690947965736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.499
y[1] (analytic) = 17.548422111392805562925728994354
y[1] (numeric) = 17.548422111392805562925728994538
absolute error = 1.84e-28
relative error = 1.0485273196189150316919958840852e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 17.553437379215438545367262497925
y[1] (numeric) = 17.553437379215438545367262498109
absolute error = 1.84e-28
relative error = 1.0482277403847381988257981709755e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.501
y[1] (analytic) = 17.558452647038071527808796001495
y[1] (numeric) = 17.55845264703807152780879600168
absolute error = 1.85e-28
relative error = 1.0536235949652862904693446526251e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.502
y[1] (analytic) = 17.563467914860704510250329505066
y[1] (numeric) = 17.563467914860704510250329505251
absolute error = 1.85e-28
relative error = 1.0533227315743767284218091458711e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.503
y[1] (analytic) = 17.568483182683337492691863008637
y[1] (numeric) = 17.568483182683337492691863008822
absolute error = 1.85e-28
relative error = 1.0530220399581693699495220179391e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.504
y[1] (analytic) = 17.573498450505970475133396512208
y[1] (numeric) = 17.573498450505970475133396512393
absolute error = 1.85e-28
relative error = 1.0527215199695968330288743232992e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.505
y[1] (analytic) = 17.578513718328603457574930015779
y[1] (numeric) = 17.578513718328603457574930015964
absolute error = 1.85e-28
relative error = 1.0524211714617595728767976116520e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.506
y[1] (analytic) = 17.58352898615123644001646351935
y[1] (numeric) = 17.583528986151236440016463519535
absolute error = 1.85e-28
relative error = 1.0521209942879256425936040013806e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.507
y[1] (analytic) = 17.58854425397386942245799702292
y[1] (numeric) = 17.588544253973869422457997023106
absolute error = 1.86e-28
relative error = 1.0575065071572144026164977642620e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.508
y[1] (analytic) = 17.593559521796502404899530526491
y[1] (numeric) = 17.593559521796502404899530526677
absolute error = 1.86e-28
relative error = 1.0572050514824261430946572574877e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.509
y[1] (analytic) = 17.598574789619135387341064030062
y[1] (numeric) = 17.598574789619135387341064030248
absolute error = 1.86e-28
relative error = 1.0569037676262043060632823195402e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 17.603590057441768369782597533633
y[1] (numeric) = 17.603590057441768369782597533819
absolute error = 1.86e-28
relative error = 1.0566026554416954159475947747198e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.511
y[1] (analytic) = 17.608605325264401352224131037204
y[1] (numeric) = 17.60860532526440135222413103739
absolute error = 1.86e-28
relative error = 1.0563017147822133038952029789993e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.512
y[1] (analytic) = 17.613620593087034334665664540775
y[1] (numeric) = 17.613620593087034334665664540961
absolute error = 1.86e-28
relative error = 1.0560009455012388695831599257593e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.513
y[1] (analytic) = 17.618635860909667317107198044345
y[1] (numeric) = 17.618635860909667317107198044532
absolute error = 1.87e-28
relative error = 1.0613761557720565092567434357224e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.514
y[1] (analytic) = 17.623651128732300299548731547916
y[1] (numeric) = 17.623651128732300299548731548103
absolute error = 1.87e-28
relative error = 1.0610741136104822188443197750976e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.515
y[1] (analytic) = 17.628666396554933281990265051487
y[1] (numeric) = 17.628666396554933281990265051674
absolute error = 1.87e-28
relative error = 1.0607722433078903320110781478500e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.516
y[1] (analytic) = 17.633681664377566264431798555058
y[1] (numeric) = 17.633681664377566264431798555245
absolute error = 1.87e-28
relative error = 1.0604705447176434917573776136783e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.517
y[1] (analytic) = 17.638696932200199246873332058629
y[1] (numeric) = 17.638696932200199246873332058816
absolute error = 1.87e-28
relative error = 1.0601690176932711165820129910983e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.518
y[1] (analytic) = 17.6437122000228322293148655622
y[1] (numeric) = 17.643712200022832229314865562387
absolute error = 1.87e-28
relative error = 1.0598676620884691634505229362401e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.519
y[1] (analytic) = 17.64872746784546521175639906577
y[1] (numeric) = 17.648727467845465211756399065958
absolute error = 1.88e-28
relative error = 1.0652326086541966820295031884396e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 17.653742735668098194197932569341
y[1] (numeric) = 17.653742735668098194197932569529
absolute error = 1.88e-28
relative error = 1.0649299857540108306993811704884e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.521
y[1] (analytic) = 17.658758003490731176639466072912
y[1] (numeric) = 17.6587580034907311766394660731
absolute error = 1.88e-28
relative error = 1.0646275347498205407730251974209e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.522
y[1] (analytic) = 17.663773271313364159080999576483
y[1] (numeric) = 17.663773271313364159080999576671
absolute error = 1.88e-28
relative error = 1.0643252554952067359630385349571e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.523
y[1] (analytic) = 17.668788539135997141522533080054
y[1] (numeric) = 17.668788539135997141522533080242
absolute error = 1.88e-28
relative error = 1.0640231478439165836110762759350e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.524
y[1] (analytic) = 17.673803806958630123964066583625
y[1] (numeric) = 17.673803806958630123964066583813
absolute error = 1.88e-28
relative error = 1.0637212116498632588143648467988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.525
y[1] (analytic) = 17.678819074781263106405600087195
y[1] (numeric) = 17.678819074781263106405600087384
absolute error = 1.89e-28
relative error = 1.0690759331860997818736748228497e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.526
y[1] (analytic) = 17.683834342603896088847133590766
y[1] (numeric) = 17.683834342603896088847133590955
absolute error = 1.89e-28
relative error = 1.0687727352470226123382597137111e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.527
y[1] (analytic) = 17.688849610426529071288667094337
y[1] (numeric) = 17.688849610426529071288667094526
absolute error = 1.89e-28
relative error = 1.0684697092375961812034884464262e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.528
y[1] (analytic) = 17.693864878249162053730200597908
y[1] (numeric) = 17.693864878249162053730200598097
absolute error = 1.89e-28
relative error = 1.0681668550116218058686802014017e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.529
y[1] (analytic) = 17.698880146071795036171734101479
y[1] (numeric) = 17.698880146071795036171734101668
absolute error = 1.89e-28
relative error = 1.0678641724230665149064051432545e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 17.70389541389442801861326760505
y[1] (numeric) = 17.703895413894428018613267605239
absolute error = 1.89e-28
relative error = 1.0675616613260628133441087112026e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.531
y[1] (analytic) = 17.708910681717061001054801108621
y[1] (numeric) = 17.70891068171706100105480110881
absolute error = 1.89e-28
relative error = 1.0672593215749084483445776693699e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.532
y[1] (analytic) = 17.713925949539693983496334612191
y[1] (numeric) = 17.713925949539693983496334612381
absolute error = 1.90e-28
relative error = 1.0726024289659924513441635846465e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.533
y[1] (analytic) = 17.718941217362326965937868115762
y[1] (numeric) = 17.718941217362326965937868115952
absolute error = 1.90e-28
relative error = 1.0722988335997411090143180812260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.534
y[1] (analytic) = 17.723956485184959948379401619333
y[1] (numeric) = 17.723956485184959948379401619523
absolute error = 1.90e-28
relative error = 1.0719954100475057549936575497938e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.535
memory used=228.8MB, alloc=4.1MB, time=14.40
y[1] (analytic) = 17.728971753007592930820935122904
y[1] (numeric) = 17.728971753007592930820935123094
absolute error = 1.90e-28
relative error = 1.0716921581634753431817781558617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.536
y[1] (analytic) = 17.733987020830225913262468626475
y[1] (numeric) = 17.733987020830225913262468626665
absolute error = 1.90e-28
relative error = 1.0713890778020037721005615896412e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.537
y[1] (analytic) = 17.739002288652858895704002130046
y[1] (numeric) = 17.739002288652858895704002130236
absolute error = 1.90e-28
relative error = 1.0710861688176096517239428275293e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.538
y[1] (analytic) = 17.744017556475491878145535633616
y[1] (numeric) = 17.744017556475491878145535633807
absolute error = 1.91e-28
relative error = 1.0764191333337391026541740563588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.539
y[1] (analytic) = 17.749032824298124860587069137187
y[1] (numeric) = 17.749032824298124860587069137378
absolute error = 1.91e-28
relative error = 1.0761149742115764185336162224915e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 17.754048092120757843028602640758
y[1] (numeric) = 17.754048092120757843028602640949
absolute error = 1.91e-28
relative error = 1.0758109869307256907317705681914e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.541
y[1] (analytic) = 17.759063359943390825470136144329
y[1] (numeric) = 17.75906335994339082547013614452
absolute error = 1.91e-28
relative error = 1.0755071713455998150777937902845e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.542
y[1] (analytic) = 17.7640786277660238079116696479
y[1] (numeric) = 17.764078627766023807911669648091
absolute error = 1.91e-28
relative error = 1.0752035273107760997149824425176e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.543
y[1] (analytic) = 17.769093895588656790353203151471
y[1] (numeric) = 17.769093895588656790353203151662
absolute error = 1.91e-28
relative error = 1.0749000546809960330766208894715e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.544
y[1] (analytic) = 17.774109163411289772794736655041
y[1] (numeric) = 17.774109163411289772794736655233
absolute error = 1.92e-28
relative error = 1.0802229143232653928423673368577e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.545
y[1] (analytic) = 17.779124431233922755236270158612
y[1] (numeric) = 17.779124431233922755236270158804
absolute error = 1.92e-28
relative error = 1.0799181969990557270051762600349e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.546
y[1] (analytic) = 17.784139699056555737677803662183
y[1] (numeric) = 17.784139699056555737677803662375
absolute error = 1.92e-28
relative error = 1.0796136515402291461458967405030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.547
y[1] (analytic) = 17.789154966879188720119337165754
y[1] (numeric) = 17.789154966879188720119337165946
absolute error = 1.92e-28
relative error = 1.0793092778014244579174936120168e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.548
y[1] (analytic) = 17.794170234701821702560870669325
y[1] (numeric) = 17.794170234701821702560870669517
absolute error = 1.92e-28
relative error = 1.0790050756374443495584413308409e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.549
y[1] (analytic) = 17.799185502524454685002404172896
y[1] (numeric) = 17.799185502524454685002404173088
absolute error = 1.92e-28
relative error = 1.0787010449032551570113693552616e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 17.804200770347087667443937676466
y[1] (numeric) = 17.804200770347087667443937676659
absolute error = 1.93e-28
relative error = 1.0840138374615594814862624992253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.551
y[1] (analytic) = 17.809216038169720649885471180037
y[1] (numeric) = 17.80921603816972064988547118023
absolute error = 1.93e-28
relative error = 1.0837085674425615768167366579132e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.552
y[1] (analytic) = 17.814231305992353632327004683608
y[1] (numeric) = 17.814231305992353632327004683801
absolute error = 1.93e-28
relative error = 1.0834034693098356304268670811514e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.553
y[1] (analytic) = 17.819246573814986614768538187179
y[1] (numeric) = 17.819246573814986614768538187372
absolute error = 1.93e-28
relative error = 1.0830985429182482857518243378131e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.554
y[1] (analytic) = 17.82426184163761959721007169075
y[1] (numeric) = 17.824261841637619597210071690943
absolute error = 1.93e-28
relative error = 1.0827937881228295327170039032779e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.555
y[1] (analytic) = 17.829277109460252579651605194321
y[1] (numeric) = 17.829277109460252579651605194514
absolute error = 1.93e-28
relative error = 1.0824892047787724779961271089310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.556
y[1] (analytic) = 17.834292377282885562093138697891
y[1] (numeric) = 17.834292377282885562093138698085
absolute error = 1.94e-28
relative error = 1.0877919678333576395723042470968e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.557
y[1] (analytic) = 17.839307645105518544534672201462
y[1] (numeric) = 17.839307645105518544534672201656
absolute error = 1.94e-28
relative error = 1.0874861505806634147650025028608e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.558
y[1] (analytic) = 17.844322912928151526976205705033
y[1] (numeric) = 17.844322912928151526976205705227
absolute error = 1.94e-28
relative error = 1.0871805052319898162785592756256e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.559
y[1] (analytic) = 17.849338180750784509417739208604
y[1] (numeric) = 17.849338180750784509417739208798
absolute error = 1.94e-28
relative error = 1.0868750316424332021127041030278e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 17.854353448573417491859272712175
y[1] (numeric) = 17.854353448573417491859272712369
absolute error = 1.94e-28
relative error = 1.0865697296672527433480657029988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.561
y[1] (analytic) = 17.859368716396050474300806215746
y[1] (numeric) = 17.85936871639605047430080621594
absolute error = 1.94e-28
relative error = 1.0862645991618701955403296553428e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.562
y[1] (analytic) = 17.864383984218683456742339719316
y[1] (numeric) = 17.864383984218683456742339719511
absolute error = 1.95e-28
relative error = 1.0915573700848689986979213736952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.563
y[1] (analytic) = 17.869399252041316439183873222887
y[1] (numeric) = 17.869399252041316439183873223082
absolute error = 1.95e-28
relative error = 1.0912510110138376012803805593888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.564
y[1] (analytic) = 17.874414519863949421625406726458
y[1] (numeric) = 17.874414519863949421625406726653
absolute error = 1.95e-28
relative error = 1.0909448238614768163193030115326e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.565
y[1] (analytic) = 17.879429787686582404066940230029
y[1] (numeric) = 17.879429787686582404066940230224
absolute error = 1.95e-28
relative error = 1.0906388084831145507326776810946e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.566
y[1] (analytic) = 17.8844450555092153865084737336
y[1] (numeric) = 17.884445055509215386508473733795
absolute error = 1.95e-28
relative error = 1.0903329647342409908474469806792e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.567
y[1] (analytic) = 17.889460323331848368950007237171
y[1] (numeric) = 17.889460323331848368950007237366
absolute error = 1.95e-28
relative error = 1.0900272924705083749262674328853e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.568
y[1] (analytic) = 17.894475591154481351391540740741
y[1] (numeric) = 17.894475591154481351391540740937
absolute error = 1.96e-28
relative error = 1.0953101084274627187233402364149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.569
y[1] (analytic) = 17.899490858977114333833074244312
y[1] (numeric) = 17.899490858977114333833074244508
absolute error = 1.96e-28
relative error = 1.0950032129081498964429470337709e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 17.904506126799747316274607747883
y[1] (numeric) = 17.904506126799747316274607748079
absolute error = 1.96e-28
relative error = 1.0946964893190999945111702979071e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.571
y[1] (analytic) = 17.909521394622380298716141251454
y[1] (numeric) = 17.90952139462238029871614125165
absolute error = 1.96e-28
relative error = 1.0943899375158742594244967694002e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.572
y[1] (analytic) = 17.914536662445013281157674755025
y[1] (numeric) = 17.914536662445013281157674755221
absolute error = 1.96e-28
relative error = 1.0940835573541956832040531812789e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.573
y[1] (analytic) = 17.919551930267646263599208258596
y[1] (numeric) = 17.919551930267646263599208258792
absolute error = 1.96e-28
relative error = 1.0937773486899487770514631859861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.574
y[1] (analytic) = 17.924567198090279246040741762166
y[1] (numeric) = 17.924567198090279246040741762363
absolute error = 1.97e-28
relative error = 1.0990502466413180155142025724551e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.575
y[1] (analytic) = 17.929582465912912228482275265737
y[1] (numeric) = 17.929582465912912228482275265934
absolute error = 1.97e-28
relative error = 1.0987428199989008636217510472600e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.576
y[1] (analytic) = 17.934597733735545210923808769308
y[1] (numeric) = 17.934597733735545210923808769505
absolute error = 1.97e-28
relative error = 1.0984355652953217526419910497636e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.577
y[1] (analytic) = 17.939613001558178193365342272879
y[1] (numeric) = 17.939613001558178193365342273076
absolute error = 1.97e-28
relative error = 1.0981284823863770163398825814801e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.578
y[1] (analytic) = 17.94462826938081117580687577645
y[1] (numeric) = 17.944628269380811175806875776647
absolute error = 1.97e-28
relative error = 1.0978215711280241999574510883048e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.579
y[1] (analytic) = 17.949643537203444158248409280021
y[1] (numeric) = 17.949643537203444158248409280218
absolute error = 1.97e-28
relative error = 1.0975148313763818349951830103253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 17.954658805026077140689942783591
y[1] (numeric) = 17.954658805026077140689942783789
absolute error = 1.98e-28
relative error = 1.1027778480790374844945927442404e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.581
y[1] (analytic) = 17.959674072848710123131476287162
y[1] (numeric) = 17.95967407284871012313147628736
absolute error = 1.98e-28
relative error = 1.1024698955942346256606093338120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.582
y[1] (analytic) = 17.964689340671343105573009790733
y[1] (numeric) = 17.964689340671343105573009790931
absolute error = 1.98e-28
relative error = 1.1021621150538677259884539431548e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.583
y[1] (analytic) = 17.969704608493976088014543294304
y[1] (numeric) = 17.969704608493976088014543294502
absolute error = 1.98e-28
relative error = 1.1018545063139699119426854659170e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.584
y[1] (analytic) = 17.974719876316609070456076797875
y[1] (numeric) = 17.974719876316609070456076798073
absolute error = 1.98e-28
relative error = 1.1015470692307349873020764576955e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.585
y[1] (analytic) = 17.979735144139242052897610301446
y[1] (numeric) = 17.979735144139242052897610301644
absolute error = 1.98e-28
relative error = 1.1012398036605172090629405925748e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.586
y[1] (analytic) = 17.984750411961875035339143805016
y[1] (numeric) = 17.984750411961875035339143805215
absolute error = 1.99e-28
relative error = 1.1064929756692241498978036962652e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.587
y[1] (analytic) = 17.989765679784508017780677308587
y[1] (numeric) = 17.989765679784508017780677308786
absolute error = 1.99e-28
relative error = 1.1061845025787114027135556327870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.588
y[1] (analytic) = 17.994780947607141000222210812158
y[1] (numeric) = 17.994780947607141000222210812357
absolute error = 1.99e-28
relative error = 1.1058762014352948164809152884077e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.589
y[1] (analytic) = 17.999796215429773982663744315729
y[1] (numeric) = 17.999796215429773982663744315928
absolute error = 1.99e-28
relative error = 1.1055680720952459742361449024260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 18.0048114832524069651052778193
y[1] (numeric) = 18.004811483252406965105277819499
absolute error = 1.99e-28
relative error = 1.1052601144149966020984746670771e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.591
y[1] (analytic) = 18.009826751075039947546811322871
y[1] (numeric) = 18.00982675107503994754681132307
absolute error = 1.99e-28
relative error = 1.1049523282511383462917081745493e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.592
y[1] (analytic) = 18.014842018897672929988344826441
y[1] (numeric) = 18.014842018897672929988344826641
absolute error = 2.00e-28
relative error = 1.1101956919200226638575740771807e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=232.7MB, alloc=4.1MB, time=14.64
x[1] = 3.593
y[1] (analytic) = 18.019857286720305912429878330012
y[1] (numeric) = 18.019857286720305912429878330212
absolute error = 2.00e-28
relative error = 1.1098867034168442551005861634381e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.594
y[1] (analytic) = 18.024872554542938894871411833583
y[1] (numeric) = 18.024872554542938894871411833783
absolute error = 2.00e-28
relative error = 1.1095778868605234859700629062974e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.595
y[1] (analytic) = 18.029887822365571877312945337154
y[1] (numeric) = 18.029887822365571877312945337354
absolute error = 2.00e-28
relative error = 1.1092692421075720190754954340008e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.596
y[1] (analytic) = 18.034903090188204859754478840725
y[1] (numeric) = 18.034903090188204859754478840925
absolute error = 2.00e-28
relative error = 1.1089607690146611258555078101315e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.597
y[1] (analytic) = 18.039918358010837842196012344296
y[1] (numeric) = 18.039918358010837842196012344496
absolute error = 2.00e-28
relative error = 1.1086524674386214647140411690945e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.598
y[1] (analytic) = 18.044933625833470824637545847866
y[1] (numeric) = 18.044933625833470824637545848067
absolute error = 2.01e-28
relative error = 1.1138860589226250738241490037963e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.599
y[1] (analytic) = 18.049948893656103807079079351437
y[1] (numeric) = 18.049948893656103807079079351638
absolute error = 2.01e-28
relative error = 1.1135765601566004489078322077408e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 18.054964161478736789520612855008
y[1] (numeric) = 18.054964161478736789520612855209
absolute error = 2.01e-28
relative error = 1.1132672333343347265609133654609e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.601
y[1] (analytic) = 18.059979429301369771962146358579
y[1] (numeric) = 18.05997942930136977196214635878
absolute error = 2.01e-28
relative error = 1.1129580783125812317743093906301e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.602
y[1] (analytic) = 18.06499469712400275440367986215
y[1] (numeric) = 18.064994697124002754403679862351
absolute error = 2.01e-28
relative error = 1.1126490949482523641363931470458e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.603
y[1] (analytic) = 18.070009964946635736845213365721
y[1] (numeric) = 18.070009964946635736845213365922
absolute error = 2.01e-28
relative error = 1.1123402830984193770800133543322e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.604
y[1] (analytic) = 18.075025232769268719286746869292
y[1] (numeric) = 18.075025232769268719286746869493
absolute error = 2.01e-28
relative error = 1.1120316426203121574970277790397e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.605
y[1] (analytic) = 18.080040500591901701728280372862
y[1] (numeric) = 18.080040500591901701728280373064
absolute error = 2.02e-28
relative error = 1.1172541344328678564943606507865e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.606
y[1] (analytic) = 18.085055768414534684169813876433
y[1] (numeric) = 18.085055768414534684169813876635
absolute error = 2.02e-28
relative error = 1.1169443024488321194293317099516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.607
y[1] (analytic) = 18.090071036237167666611347380004
y[1] (numeric) = 18.090071036237167666611347380206
absolute error = 2.02e-28
relative error = 1.1166346422596308906742916956155e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.608
y[1] (analytic) = 18.095086304059800649052880883575
y[1] (numeric) = 18.095086304059800649052880883777
absolute error = 2.02e-28
relative error = 1.1163251537224192413143487101123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.609
y[1] (analytic) = 18.100101571882433631494414387146
y[1] (numeric) = 18.100101571882433631494414387348
absolute error = 2.02e-28
relative error = 1.1160158366945105632203297717055e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.61
y[1] (analytic) = 18.105116839705066613935947890717
y[1] (numeric) = 18.105116839705066613935947890919
absolute error = 2.02e-28
relative error = 1.1157066910333763497679141678906e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.611
y[1] (analytic) = 18.110132107527699596377481394287
y[1] (numeric) = 18.11013210752769959637748139449
absolute error = 2.03e-28
relative error = 1.1209194874708867985890479580481e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.612
y[1] (analytic) = 18.115147375350332578819014897858
y[1] (numeric) = 18.115147375350332578819014898061
absolute error = 2.03e-28
relative error = 1.1206091553868693880689513224007e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.613
y[1] (analytic) = 18.120162643172965561260548401429
y[1] (numeric) = 18.120162643172965561260548401632
absolute error = 2.03e-28
relative error = 1.1202989950892256378923476824001e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.614
y[1] (analytic) = 18.125177910995598543702081905
y[1] (numeric) = 18.125177910995598543702081905203
absolute error = 2.03e-28
relative error = 1.1199890064353547951591179237718e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.615
y[1] (analytic) = 18.130193178818231526143615408571
y[1] (numeric) = 18.130193178818231526143615408774
absolute error = 2.03e-28
relative error = 1.1196791892828138948008443088552e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.616
y[1] (analytic) = 18.135208446640864508585148912142
y[1] (numeric) = 18.135208446640864508585148912345
absolute error = 2.03e-28
relative error = 1.1193695434893175414007334558936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.617
y[1] (analytic) = 18.140223714463497491026682415712
y[1] (numeric) = 18.140223714463497491026682415916
absolute error = 2.04e-28
relative error = 1.1245726800896477292640127749344e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.618
y[1] (analytic) = 18.145238982286130473468215919283
y[1] (numeric) = 18.145238982286130473468215919487
absolute error = 2.04e-28
relative error = 1.1242618529254438465306617487390e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.619
y[1] (analytic) = 18.150254250108763455909749422854
y[1] (numeric) = 18.150254250108763455909749423058
absolute error = 2.04e-28
relative error = 1.1239511975364066970842592448018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 18.155269517931396438351282926425
y[1] (numeric) = 18.155269517931396438351282926629
absolute error = 2.04e-28
relative error = 1.1236407137801811703723575157286e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.621
y[1] (analytic) = 18.160284785754029420792816429996
y[1] (numeric) = 18.1602847857540294207928164302
absolute error = 2.04e-28
relative error = 1.1233304015145694108665932634459e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.622
y[1] (analytic) = 18.165300053576662403234349933567
y[1] (numeric) = 18.165300053576662403234349933771
absolute error = 2.04e-28
relative error = 1.1230202605975306009795511338867e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.623
y[1] (analytic) = 18.170315321399295385675883437137
y[1] (numeric) = 18.170315321399295385675883437342
absolute error = 2.05e-28
relative error = 1.1282137727052551597545725192834e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.624
y[1] (analytic) = 18.175330589221928368117416940708
y[1] (numeric) = 18.175330589221928368117416940913
absolute error = 2.05e-28
relative error = 1.1279024554390561379113731339304e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.625
y[1] (analytic) = 18.180345857044561350558950444279
y[1] (numeric) = 18.180345857044561350558950444484
absolute error = 2.05e-28
relative error = 1.1275913099341074327698803413417e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.626
y[1] (analytic) = 18.18536112486719433300048394785
y[1] (numeric) = 18.185361124867194333000483948055
absolute error = 2.05e-28
relative error = 1.1272803360483010049064578702051e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.627
y[1] (analytic) = 18.190376392689827315442017451421
y[1] (numeric) = 18.190376392689827315442017451626
absolute error = 2.05e-28
relative error = 1.1269695336396855373010246036294e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.628
y[1] (analytic) = 18.195391660512460297883550954992
y[1] (numeric) = 18.195391660512460297883550955197
absolute error = 2.05e-28
relative error = 1.1266589025664662193469725020297e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.629
y[1] (analytic) = 18.200406928335093280325084458562
y[1] (numeric) = 18.200406928335093280325084458768
absolute error = 2.06e-28
relative error = 1.1318428253342582118582800407247e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 18.205422196157726262766617962133
y[1] (numeric) = 18.205422196157726262766617962339
absolute error = 2.06e-28
relative error = 1.1315310229030366531222309277658e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.631
y[1] (analytic) = 18.210437463980359245208151465704
y[1] (numeric) = 18.21043746398035924520815146591
absolute error = 2.06e-28
relative error = 1.1312193922164756405490769120876e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.632
y[1] (analytic) = 18.215452731802992227649684969275
y[1] (numeric) = 18.215452731802992227649684969481
absolute error = 2.06e-28
relative error = 1.1309079331327155976965028270347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.633
y[1] (analytic) = 18.220467999625625210091218472846
y[1] (numeric) = 18.220467999625625210091218473052
absolute error = 2.06e-28
relative error = 1.1305966455100531381320391598651e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.634
y[1] (analytic) = 18.225483267448258192532751976417
y[1] (numeric) = 18.225483267448258192532751976623
absolute error = 2.06e-28
relative error = 1.1302855292069408505321128970253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.635
y[1] (analytic) = 18.230498535270891174974285479987
y[1] (numeric) = 18.230498535270891174974285480194
absolute error = 2.07e-28
relative error = 1.1354598975969481864859918289453e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.636
y[1] (analytic) = 18.235513803093524157415818983558
y[1] (numeric) = 18.235513803093524157415818983765
absolute error = 2.07e-28
relative error = 1.1351476148968390148175413361431e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.637
y[1] (analytic) = 18.240529070916157139857352487129
y[1] (numeric) = 18.240529070916157139857352487336
absolute error = 2.07e-28
relative error = 1.1348355039221629523993896888139e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.638
y[1] (analytic) = 18.2455443387387901222988859907
y[1] (numeric) = 18.245544338738790122298885990907
absolute error = 2.07e-28
relative error = 1.1345235645313102413074712199604e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.639
y[1] (analytic) = 18.250559606561423104740419494271
y[1] (numeric) = 18.250559606561423104740419494478
absolute error = 2.07e-28
relative error = 1.1342117965828267814994724644727e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 18.255574874384056087181952997842
y[1] (numeric) = 18.255574874384056087181952998049
absolute error = 2.07e-28
relative error = 1.1339001999354139169990605214879e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.641
y[1] (analytic) = 18.260590142206689069623486501412
y[1] (numeric) = 18.26059014220668906962348650162
absolute error = 2.08e-28
relative error = 1.1390650487206235278548372229174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.642
y[1] (analytic) = 18.265605410029322052065020004983
y[1] (numeric) = 18.265605410029322052065020005191
absolute error = 2.08e-28
relative error = 1.1387522906073010062930978387266e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.643
y[1] (analytic) = 18.270620677851955034506553508554
y[1] (numeric) = 18.270620677851955034506553508762
absolute error = 2.08e-28
relative error = 1.1384397041975817361843157641071e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.644
y[1] (analytic) = 18.275635945674588016948087012125
y[1] (numeric) = 18.275635945674588016948087012333
absolute error = 2.08e-28
relative error = 1.1381272893501070979471630978711e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.645
y[1] (analytic) = 18.280651213497220999389620515696
y[1] (numeric) = 18.280651213497220999389620515904
absolute error = 2.08e-28
relative error = 1.1378150459236735980574656594354e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.646
y[1] (analytic) = 18.285666481319853981831154019267
y[1] (numeric) = 18.285666481319853981831154019475
absolute error = 2.08e-28
relative error = 1.1375029737772326563136210446084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.647
y[1] (analytic) = 18.290681749142486964272687522837
y[1] (numeric) = 18.290681749142486964272687523046
absolute error = 2.09e-28
relative error = 1.1426583375428225588051396652231e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.648
y[1] (analytic) = 18.295697016965119946714221026408
y[1] (numeric) = 18.295697016965119946714221026617
absolute error = 2.09e-28
relative error = 1.1423451088318733201651163264990e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.649
y[1] (analytic) = 18.300712284787752929155754529979
y[1] (numeric) = 18.300712284787752929155754530188
absolute error = 2.09e-28
relative error = 1.1420320518001298635139337788623e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 18.30572755261038591159728803355
y[1] (numeric) = 18.305727552610385911597288033759
absolute error = 2.09e-28
relative error = 1.1417191663064859923184505093338e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=236.5MB, alloc=4.1MB, time=14.88
TOP MAIN SOLVE Loop
x[1] = 3.651
y[1] (analytic) = 18.310742820433018894038821537121
y[1] (numeric) = 18.31074282043301889403882153733
absolute error = 2.09e-28
relative error = 1.1414064522099901046185550148092e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.652
y[1] (analytic) = 18.315758088255651876480355040692
y[1] (numeric) = 18.315758088255651876480355040901
absolute error = 2.09e-28
relative error = 1.1410939093698449813697547533046e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.653
y[1] (analytic) = 18.320773356078284858921888544262
y[1] (numeric) = 18.320773356078284858921888544472
absolute error = 2.10e-28
relative error = 1.1462398225145243577895500655611e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.654
y[1] (analytic) = 18.325788623900917841363422047833
y[1] (numeric) = 18.325788623900917841363422048043
absolute error = 2.10e-28
relative error = 1.1459261279818164967173580704693e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.655
y[1] (analytic) = 18.330803891723550823804955551404
y[1] (numeric) = 18.330803891723550823804955551614
absolute error = 2.10e-28
relative error = 1.1456126051013837151861084512981e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.656
y[1] (analytic) = 18.335819159546183806246489054975
y[1] (numeric) = 18.335819159546183806246489055185
absolute error = 2.10e-28
relative error = 1.1452992537323734898810794281987e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.657
y[1] (analytic) = 18.340834427368816788688022558546
y[1] (numeric) = 18.340834427368816788688022558756
absolute error = 2.10e-28
relative error = 1.1449860737340873609530288185656e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.658
y[1] (analytic) = 18.345849695191449771129556062117
y[1] (numeric) = 18.345849695191449771129556062327
absolute error = 2.10e-28
relative error = 1.1446730649659807214339055192713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.659
y[1] (analytic) = 18.350864963014082753571089565687
y[1] (numeric) = 18.350864963014082753571089565898
absolute error = 2.11e-28
relative error = 1.1498095617033181432216748892924e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 18.355880230836715736012623069258
y[1] (numeric) = 18.355880230836715736012623069469
absolute error = 2.11e-28
relative error = 1.1494954060853664169530350874101e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.661
y[1] (analytic) = 18.360895498659348718454156572829
y[1] (numeric) = 18.36089549865934871845415657304
absolute error = 2.11e-28
relative error = 1.1491814220902597885954953345864e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.662
y[1] (analytic) = 18.3659107664819817008956900764
y[1] (numeric) = 18.365910766481981700895690076611
absolute error = 2.11e-28
relative error = 1.1488676095774006242621814363519e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.663
y[1] (analytic) = 18.370926034304614683337223579971
y[1] (numeric) = 18.370926034304614683337223580182
absolute error = 2.11e-28
relative error = 1.1485539684063448228359564345948e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.664
y[1] (analytic) = 18.375941302127247665778757083542
y[1] (numeric) = 18.375941302127247665778757083753
absolute error = 2.11e-28
relative error = 1.1482404984368016064541780622054e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.665
y[1] (analytic) = 18.380956569949880648220290587112
y[1] (numeric) = 18.380956569949880648220290587324
absolute error = 2.12e-28
relative error = 1.1533676127965415260821256344740e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.666
y[1] (analytic) = 18.385971837772513630661824090683
y[1] (numeric) = 18.385971837772513630661824090895
absolute error = 2.12e-28
relative error = 1.1530530007908687106085625887471e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.667
y[1] (analytic) = 18.390987105595146613103357594254
y[1] (numeric) = 18.390987105595146613103357594466
absolute error = 2.12e-28
relative error = 1.1527385603761452667278403191565e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.668
y[1] (analytic) = 18.396002373417779595544891097825
y[1] (numeric) = 18.396002373417779595544891098037
absolute error = 2.12e-28
relative error = 1.1524242914120296327947084106726e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.669
y[1] (analytic) = 18.401017641240412577986424601396
y[1] (numeric) = 18.401017641240412577986424601608
absolute error = 2.12e-28
relative error = 1.1521101937583332496841075089525e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 18.406032909063045560427958104967
y[1] (numeric) = 18.406032909063045560427958105179
absolute error = 2.12e-28
relative error = 1.1517962672750203523408693325196e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.671
y[1] (analytic) = 18.411048176885678542869491608537
y[1] (numeric) = 18.41104817688567854286949160875
absolute error = 2.13e-28
relative error = 1.1569140331043879869610112995841e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.672
y[1] (analytic) = 18.416063444708311525311025112108
y[1] (numeric) = 18.416063444708311525311025112321
absolute error = 2.13e-28
relative error = 1.1565989693698824346769805230864e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.673
y[1] (analytic) = 18.421078712530944507752558615679
y[1] (numeric) = 18.421078712530944507752558615892
absolute error = 2.13e-28
relative error = 1.1562840771919979036574659626390e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.674
y[1] (analytic) = 18.42609398035357749019409211925
y[1] (numeric) = 18.426093980353577490194092119463
absolute error = 2.13e-28
relative error = 1.1559693564306500544730191836617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.675
y[1] (analytic) = 18.431109248176210472635625622821
y[1] (numeric) = 18.431109248176210472635625623034
absolute error = 2.13e-28
relative error = 1.1556548069459070204445911512308e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.676
y[1] (analytic) = 18.436124515998843455077159126392
y[1] (numeric) = 18.436124515998843455077159126605
absolute error = 2.13e-28
relative error = 1.1553404285979892002540458326368e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.677
y[1] (analytic) = 18.441139783821476437518692629963
y[1] (numeric) = 18.441139783821476437518692630176
absolute error = 2.13e-28
relative error = 1.1550262212472690508930847105719e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.678
y[1] (analytic) = 18.446155051644109419960226133533
y[1] (numeric) = 18.446155051644109419960226133747
absolute error = 2.14e-28
relative error = 1.1601333687202533733487641411635e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.679
y[1] (analytic) = 18.451170319466742402401759637104
y[1] (numeric) = 18.451170319466742402401759637318
absolute error = 2.14e-28
relative error = 1.1598180293974155768352145994018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 18.456185587289375384843293140675
y[1] (numeric) = 18.456185587289375384843293140889
absolute error = 2.14e-28
relative error = 1.1595028614546445399936832910868e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.681
y[1] (analytic) = 18.461200855112008367284826644246
y[1] (numeric) = 18.46120085511200836728482664446
absolute error = 2.14e-28
relative error = 1.1591878647522662067853177156205e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.682
y[1] (analytic) = 18.466216122934641349726360147817
y[1] (numeric) = 18.466216122934641349726360148031
absolute error = 2.14e-28
relative error = 1.1588730391507582583315465809884e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.683
y[1] (analytic) = 18.471231390757274332167893651388
y[1] (numeric) = 18.471231390757274332167893651602
absolute error = 2.14e-28
relative error = 1.1585583845107499069173919389626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.684
y[1] (analytic) = 18.476246658579907314609427154958
y[1] (numeric) = 18.476246658579907314609427155173
absolute error = 2.15e-28
relative error = 1.1636562553691573057056559559244e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.685
y[1] (analytic) = 18.481261926402540297050960658529
y[1] (numeric) = 18.481261926402540297050960658744
absolute error = 2.15e-28
relative error = 1.1633404734816758518913531998984e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.686
y[1] (analytic) = 18.4862771942251732794924941621
y[1] (numeric) = 18.486277194225173279492494162315
absolute error = 2.15e-28
relative error = 1.1630248629354247189961032397247e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.687
y[1] (analytic) = 18.491292462047806261934027665671
y[1] (numeric) = 18.491292462047806261934027665886
absolute error = 2.15e-28
relative error = 1.1627094235909887480932022081978e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.688
y[1] (analytic) = 18.496307729870439244375561169242
y[1] (numeric) = 18.496307729870439244375561169457
absolute error = 2.15e-28
relative error = 1.1623941553091039897558667412216e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.689
y[1] (analytic) = 18.501322997693072226817094672813
y[1] (numeric) = 18.501322997693072226817094673028
absolute error = 2.15e-28
relative error = 1.1620790579506574991107716296084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 18.506338265515705209258628176383
y[1] (numeric) = 18.506338265515705209258628176599
absolute error = 2.16e-28
relative error = 1.1671676854761135829979725127511e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.691
y[1] (analytic) = 18.511353533338338191700161679954
y[1] (numeric) = 18.51135353333833819170016168017
absolute error = 2.16e-28
relative error = 1.1668514655667459011819340482394e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.692
y[1] (analytic) = 18.516368801160971174141695183525
y[1] (numeric) = 18.516368801160971174141695183741
absolute error = 2.16e-28
relative error = 1.1665354169574374651306930043477e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.693
y[1] (analytic) = 18.521384068983604156583228687096
y[1] (numeric) = 18.521384068983604156583228687312
absolute error = 2.16e-28
relative error = 1.1662195395090330683082909753727e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.694
y[1] (analytic) = 18.526399336806237139024762190667
y[1] (numeric) = 18.526399336806237139024762190883
absolute error = 2.16e-28
relative error = 1.1659038330825281865897451467384e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.695
y[1] (analytic) = 18.531414604628870121466295694238
y[1] (numeric) = 18.531414604628870121466295694454
absolute error = 2.16e-28
relative error = 1.1655882975390687743606274890532e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.696
y[1] (analytic) = 18.536429872451503103907829197808
y[1] (numeric) = 18.536429872451503103907829198025
absolute error = 2.17e-28
relative error = 1.1706677148359693528964828469908e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.697
y[1] (analytic) = 18.541445140274136086349362701379
y[1] (numeric) = 18.541445140274136086349362701596
absolute error = 2.17e-28
relative error = 1.1703510614102631128767651075136e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.698
y[1] (analytic) = 18.54646040809676906879089620495
y[1] (numeric) = 18.546460408096769068790896205167
absolute error = 2.17e-28
relative error = 1.1700345792411418951610061120816e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.699
y[1] (analytic) = 18.551475675919402051232429708521
y[1] (numeric) = 18.551475675919402051232429708738
absolute error = 2.17e-28
relative error = 1.1697182681897114702096243856387e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 18.556490943742035033673963212092
y[1] (numeric) = 18.556490943742035033673963212309
absolute error = 2.17e-28
relative error = 1.1694021281172277644068650276967e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.701
y[1] (analytic) = 18.561506211564668016115496715663
y[1] (numeric) = 18.56150621156466801611549671588
absolute error = 2.17e-28
relative error = 1.1690861588850966572022157801885e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.702
y[1] (analytic) = 18.566521479387300998557030219233
y[1] (numeric) = 18.566521479387300998557030219451
absolute error = 2.18e-28
relative error = 1.1741563988818547637353545739881e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.703
y[1] (analytic) = 18.571536747209933980998563722804
y[1] (numeric) = 18.571536747209933980998563723022
absolute error = 2.18e-28
relative error = 1.1738393164084867230214103788561e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.704
y[1] (analytic) = 18.576552015032566963440097226375
y[1] (numeric) = 18.576552015032566963440097226593
absolute error = 2.18e-28
relative error = 1.1735224051459574339493203652548e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.705
y[1] (analytic) = 18.581567282855199945881630729946
y[1] (numeric) = 18.581567282855199945881630730164
absolute error = 2.18e-28
relative error = 1.1732056649556346384205891046974e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.706
y[1] (analytic) = 18.586582550677832928323164233517
y[1] (numeric) = 18.586582550677832928323164233735
absolute error = 2.18e-28
relative error = 1.1728890956990357084048253191861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.707
y[1] (analytic) = 18.591597818500465910764697737088
y[1] (numeric) = 18.591597818500465910764697737306
absolute error = 2.18e-28
relative error = 1.1725726972378274441187706050455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.708
y[1] (analytic) = 18.596613086323098893206231240658
y[1] (numeric) = 18.596613086323098893206231240877
absolute error = 2.19e-28
relative error = 1.1776337926881094774517704054288e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=240.3MB, alloc=4.1MB, time=15.12
TOP MAIN SOLVE Loop
x[1] = 3.709
y[1] (analytic) = 18.601628354145731875647764744229
y[1] (numeric) = 18.601628354145731875647764744448
absolute error = 2.19e-28
relative error = 1.1773162855992207987034684991454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 18.6066436219683648580892982478
y[1] (numeric) = 18.606643621968364858089298248019
absolute error = 2.19e-28
relative error = 1.1769989496731832728817155426766e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.711
y[1] (analytic) = 18.611658889790997840530831751371
y[1] (numeric) = 18.61165888979099784053083175159
absolute error = 2.19e-28
relative error = 1.1766817847716275781167245118108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.712
y[1] (analytic) = 18.616674157613630822972365254942
y[1] (numeric) = 18.616674157613630822972365255161
absolute error = 2.19e-28
relative error = 1.1763647907563334974114128942161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.713
y[1] (analytic) = 18.621689425436263805413898758513
y[1] (numeric) = 18.621689425436263805413898758732
absolute error = 2.19e-28
relative error = 1.1760479674892297178538014175411e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.714
y[1] (analytic) = 18.626704693258896787855432262083
y[1] (numeric) = 18.626704693258896787855432262303
absolute error = 2.20e-28
relative error = 1.1810999509731808156796033101121e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.715
y[1] (analytic) = 18.631719961081529770296965765654
y[1] (numeric) = 18.631719961081529770296965765874
absolute error = 2.20e-28
relative error = 1.1807820236647088962137406981847e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.716
y[1] (analytic) = 18.636735228904162752738499269225
y[1] (numeric) = 18.636735228904162752738499269445
absolute error = 2.20e-28
relative error = 1.1804642674688895450576013707633e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.717
y[1] (analytic) = 18.641750496726795735180032772796
y[1] (numeric) = 18.641750496726795735180032773016
absolute error = 2.20e-28
relative error = 1.1801466822476173121964075043735e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.718
y[1] (analytic) = 18.646765764549428717621566276367
y[1] (numeric) = 18.646765764549428717621566276587
absolute error = 2.20e-28
relative error = 1.1798292678629353279811852323174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.719
y[1] (analytic) = 18.651781032372061700063099779938
y[1] (numeric) = 18.651781032372061700063099780158
absolute error = 2.20e-28
relative error = 1.1795120241770351033702733782619e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 18.656796300194694682504633283508
y[1] (numeric) = 18.656796300194694682504633283729
absolute error = 2.21e-28
relative error = 1.1845549281024938592679915925222e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.721
y[1] (analytic) = 18.661811568017327664946166787079
y[1] (numeric) = 18.6618115680173276649461667873
absolute error = 2.21e-28
relative error = 1.1842365849345007139147886923361e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.722
y[1] (analytic) = 18.66682683583996064738770029065
y[1] (numeric) = 18.666826835839960647387700290871
absolute error = 2.21e-28
relative error = 1.1839184128267805363989598936546e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.723
y[1] (analytic) = 18.671842103662593629829233794221
y[1] (numeric) = 18.671842103662593629829233794442
absolute error = 2.21e-28
relative error = 1.1836004116414926555135451851148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.724
y[1] (analytic) = 18.676857371485226612270767297792
y[1] (numeric) = 18.676857371485226612270767298013
absolute error = 2.21e-28
relative error = 1.1832825812409444566264577669663e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.725
y[1] (analytic) = 18.681872639307859594712300801363
y[1] (numeric) = 18.681872639307859594712300801584
absolute error = 2.21e-28
relative error = 1.1829649214875911829468265031362e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.726
y[1] (analytic) = 18.686887907130492577153834304933
y[1] (numeric) = 18.686887907130492577153834305155
absolute error = 2.22e-28
relative error = 1.1879987780912938173697828112208e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.727
y[1] (analytic) = 18.691903174953125559595367808504
y[1] (numeric) = 18.691903174953125559595367808726
absolute error = 2.22e-28
relative error = 1.1876800233882910554118086274775e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.728
y[1] (analytic) = 18.696918442775758542036901312075
y[1] (numeric) = 18.696918442775758542036901312297
absolute error = 2.22e-28
relative error = 1.1873614396910302477252711251633e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.729
y[1] (analytic) = 18.701933710598391524478434815646
y[1] (numeric) = 18.701933710598391524478434815868
absolute error = 2.22e-28
relative error = 1.1870430268619363806703702747676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 18.706948978421024506919968319217
y[1] (numeric) = 18.706948978421024506919968319439
absolute error = 2.22e-28
relative error = 1.1867247847635819741339975213428e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.731
y[1] (analytic) = 18.711964246243657489361501822788
y[1] (numeric) = 18.71196424624365748936150182301
absolute error = 2.22e-28
relative error = 1.1864067132586868838166204113129e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.732
y[1] (analytic) = 18.716979514066290471803035326358
y[1] (numeric) = 18.716979514066290471803035326581
absolute error = 2.23e-28
relative error = 1.1914315546074609781786422253577e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.733
y[1] (analytic) = 18.721994781888923454244568829929
y[1] (numeric) = 18.721994781888923454244568830152
absolute error = 2.23e-28
relative error = 1.1911123926587314145627358116889e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.734
y[1] (analytic) = 18.7270100497115564366861023335
y[1] (numeric) = 18.727010049711556436686102333723
absolute error = 2.23e-28
relative error = 1.1907934016590906187902230275937e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.735
y[1] (analytic) = 18.732025317534189419127635837071
y[1] (numeric) = 18.732025317534189419127635837294
absolute error = 2.23e-28
relative error = 1.1904745814712300858266915087108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.736
y[1] (analytic) = 18.737040585356822401569169340642
y[1] (numeric) = 18.737040585356822401569169340865
absolute error = 2.23e-28
relative error = 1.1901559319579883218850890752234e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.737
y[1] (analytic) = 18.742055853179455384010702844213
y[1] (numeric) = 18.742055853179455384010702844436
absolute error = 2.23e-28
relative error = 1.1898374529823506477288447377668e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.738
y[1] (analytic) = 18.747071121002088366452236347783
y[1] (numeric) = 18.747071121002088366452236348007
absolute error = 2.24e-28
relative error = 1.1948533109742985493861890892084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.739
y[1] (analytic) = 18.752086388824721348893769851354
y[1] (numeric) = 18.752086388824721348893769851578
absolute error = 2.24e-28
relative error = 1.1945337460342144898650908840495e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 18.757101656647354331335303354925
y[1] (numeric) = 18.757101656647354331335303355149
absolute error = 2.24e-28
relative error = 1.1942143519844727212849130522623e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.741
y[1] (analytic) = 18.762116924469987313776836858496
y[1] (numeric) = 18.76211692446998731377683685872
absolute error = 2.24e-28
relative error = 1.1938951286880320709985498036517e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.742
y[1] (analytic) = 18.767132192292620296218370362067
y[1] (numeric) = 18.767132192292620296218370362291
absolute error = 2.24e-28
relative error = 1.1935760760079978561212118694444e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.743
y[1] (analytic) = 18.772147460115253278659903865638
y[1] (numeric) = 18.772147460115253278659903865862
absolute error = 2.24e-28
relative error = 1.1932571938076216878454648184507e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.744
y[1] (analytic) = 18.777162727937886261101437369208
y[1] (numeric) = 18.777162727937886261101437369433
absolute error = 2.25e-28
relative error = 1.1982641001732936924808912515724e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.745
y[1] (analytic) = 18.782177995760519243542970872779
y[1] (numeric) = 18.782177995760519243542970873004
absolute error = 2.25e-28
relative error = 1.1979441364616319318153422819458e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.746
y[1] (analytic) = 18.78719326358315222598450437635
y[1] (numeric) = 18.787193263583152225984504376575
absolute error = 2.25e-28
relative error = 1.1976243435795012238783921104877e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.747
y[1] (analytic) = 18.792208531405785208426037879921
y[1] (numeric) = 18.792208531405785208426037880146
absolute error = 2.25e-28
relative error = 1.1973047213901285253932364147016e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.748
y[1] (analytic) = 18.797223799228418190867571383492
y[1] (numeric) = 18.797223799228418190867571383717
absolute error = 2.25e-28
relative error = 1.1969852697568867621794175149112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.749
y[1] (analytic) = 18.802239067051051173309104887063
y[1] (numeric) = 18.802239067051051173309104887288
absolute error = 2.25e-28
relative error = 1.1966659885432946344754486118664e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 18.807254334873684155750638390634
y[1] (numeric) = 18.807254334873684155750638390859
absolute error = 2.25e-28
relative error = 1.1963468776130164225729218255699e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.751
y[1] (analytic) = 18.812269602696317138192171894204
y[1] (numeric) = 18.81226960269631713819217189443
absolute error = 2.26e-28
relative error = 1.2013436165491056229515699483640e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.752
y[1] (analytic) = 18.817284870518950120633705397775
y[1] (numeric) = 18.817284870518950120633705398001
absolute error = 2.26e-28
relative error = 1.2010234290180424284891628135163e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.753
y[1] (analytic) = 18.822300138341583103075238901346
y[1] (numeric) = 18.822300138341583103075238901572
absolute error = 2.26e-28
relative error = 1.2007034121171583244581238679225e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.754
y[1] (analytic) = 18.827315406164216085516772404917
y[1] (numeric) = 18.827315406164216085516772405143
absolute error = 2.26e-28
relative error = 1.2003835657100946168597066798916e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.755
y[1] (analytic) = 18.832330673986849067958305908488
y[1] (numeric) = 18.832330673986849067958305908714
absolute error = 2.26e-28
relative error = 1.2000638896606378672946308592046e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.756
y[1] (analytic) = 18.837345941809482050399839412059
y[1] (numeric) = 18.837345941809482050399839412285
absolute error = 2.26e-28
relative error = 1.1997443838327196995983330341622e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.757
y[1] (analytic) = 18.842361209632115032841372915629
y[1] (numeric) = 18.842361209632115032841372915856
absolute error = 2.27e-28
relative error = 1.2047322385686927864610649206121e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.758
y[1] (analytic) = 18.8473764774547480152829064192
y[1] (numeric) = 18.847376477454748015282906419427
absolute error = 2.27e-28
relative error = 1.2044116605382061731597181763543e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.759
y[1] (analytic) = 18.852391745277380997724439922771
y[1] (numeric) = 18.852391745277380997724439922998
absolute error = 2.27e-28
relative error = 1.2040912530733117315068424864962e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 18.857407013100013980165973426342
y[1] (numeric) = 18.857407013100013980165973426569
absolute error = 2.27e-28
relative error = 1.2037710160379198932803779007286e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.761
y[1] (analytic) = 18.862422280922646962607506929913
y[1] (numeric) = 18.86242228092264696260750693014
absolute error = 2.27e-28
relative error = 1.2034509492960858279006170983088e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.762
y[1] (analytic) = 18.867437548745279945049040433484
y[1] (numeric) = 18.867437548745279945049040433711
absolute error = 2.27e-28
relative error = 1.2031310527120092500622596774958e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.763
y[1] (analytic) = 18.872452816567912927490573937054
y[1] (numeric) = 18.872452816567912927490573937282
absolute error = 2.28e-28
relative error = 1.2081100544590652154602984154041e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.764
y[1] (analytic) = 18.877468084390545909932107440625
y[1] (numeric) = 18.877468084390545909932107440853
absolute error = 2.28e-28
relative error = 1.2077890900450218931395066251768e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.765
y[1] (analytic) = 18.882483352213178892373640944196
y[1] (numeric) = 18.882483352213178892373640944424
absolute error = 2.28e-28
relative error = 1.2074682961300032950271189740148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.766
y[1] (analytic) = 18.887498620035811874815174447767
memory used=244.1MB, alloc=4.1MB, time=15.35
y[1] (numeric) = 18.887498620035811874815174447995
absolute error = 2.28e-28
relative error = 1.2071476725781896988255716774205e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.767
y[1] (analytic) = 18.892513887858444857256707951338
y[1] (numeric) = 18.892513887858444857256707951566
absolute error = 2.28e-28
relative error = 1.2068272192539056028078319450930e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.768
y[1] (analytic) = 18.897529155681077839698241454909
y[1] (numeric) = 18.897529155681077839698241455137
absolute error = 2.28e-28
relative error = 1.2065069360216195344419062996724e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.769
y[1] (analytic) = 18.902544423503710822139774958479
y[1] (numeric) = 18.902544423503710822139774958708
absolute error = 2.29e-28
relative error = 1.2114771158281629113345675159437e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 18.90755969132634380458130846205
y[1] (numeric) = 18.907559691326343804581308462279
absolute error = 2.29e-28
relative error = 1.2111557691130891280689615298652e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.771
y[1] (analytic) = 18.912574959148976787022841965621
y[1] (numeric) = 18.91257495914897678702284196585
absolute error = 2.29e-28
relative error = 1.2108345928285192290692084241824e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.772
y[1] (analytic) = 18.917590226971609769464375469192
y[1] (numeric) = 18.917590226971609769464375469421
absolute error = 2.29e-28
relative error = 1.2105135868389040330911943180254e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.773
y[1] (analytic) = 18.922605494794242751905908972763
y[1] (numeric) = 18.922605494794242751905908972992
absolute error = 2.29e-28
relative error = 1.2101927510088380632971070680073e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.774
y[1] (analytic) = 18.927620762616875734347442476334
y[1] (numeric) = 18.927620762616875734347442476563
absolute error = 2.29e-28
relative error = 1.2098720852030593568680405319533e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.775
y[1] (analytic) = 18.932636030439508716788975979904
y[1] (numeric) = 18.932636030439508716788975980134
absolute error = 2.30e-28
relative error = 1.2148334739558224158577131120577e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.776
y[1] (analytic) = 18.937651298262141699230509483475
y[1] (numeric) = 18.937651298262141699230509483705
absolute error = 2.30e-28
relative error = 1.2145117489892027594975813024412e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.777
y[1] (analytic) = 18.942666566084774681672042987046
y[1] (numeric) = 18.942666566084774681672042987276
absolute error = 2.30e-28
relative error = 1.2141901943826395604614421493296e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.778
y[1] (analytic) = 18.947681833907407664113576490617
y[1] (numeric) = 18.947681833907407664113576490847
absolute error = 2.30e-28
relative error = 1.2138688100008548490902241921699e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.779
y[1] (analytic) = 18.952697101730040646555109994188
y[1] (numeric) = 18.952697101730040646555109994418
absolute error = 2.30e-28
relative error = 1.2135475957087138448962336591738e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 18.957712369552673628996643497759
y[1] (numeric) = 18.957712369552673628996643497989
absolute error = 2.30e-28
relative error = 1.2132265513712247671594886238142e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.781
y[1] (analytic) = 18.962727637375306611438177001329
y[1] (numeric) = 18.96272763737530661143817700156
absolute error = 2.31e-28
relative error = 1.2181791797963801181977648845396e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.782
y[1] (analytic) = 18.9677429051979395938797105049
y[1] (numeric) = 18.967742905197939593879710505131
absolute error = 2.31e-28
relative error = 1.2178570805949532593616470196838e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.783
y[1] (analytic) = 18.972758173020572576321244008471
y[1] (numeric) = 18.972758173020572576321244008702
absolute error = 2.31e-28
relative error = 1.2175351516812353229991406366492e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.784
y[1] (analytic) = 18.977773440843205558762777512042
y[1] (numeric) = 18.977773440843205558762777512273
absolute error = 2.31e-28
relative error = 1.2172133929202201973852402295042e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.785
y[1] (analytic) = 18.982788708665838541204311015613
y[1] (numeric) = 18.982788708665838541204311015844
absolute error = 2.31e-28
relative error = 1.2168918041770444456818359388227e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.786
y[1] (analytic) = 18.987803976488471523645844519184
y[1] (numeric) = 18.987803976488471523645844519415
absolute error = 2.31e-28
relative error = 1.2165703853169871175134043920877e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.787
y[1] (analytic) = 18.992819244311104506087378022754
y[1] (numeric) = 18.992819244311104506087378022986
absolute error = 2.32e-28
relative error = 1.2215142839812508143513681169449e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.788
y[1] (analytic) = 18.997834512133737488528911526325
y[1] (numeric) = 18.997834512133737488528911526557
absolute error = 2.32e-28
relative error = 1.2211918145293022264911908814335e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.789
y[1] (analytic) = 19.002849779956370470970445029896
y[1] (numeric) = 19.002849779956370470970445030128
absolute error = 2.32e-28
relative error = 1.2208695152908410752041781628056e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 19.007865047779003453411978533467
y[1] (numeric) = 19.007865047779003453411978533699
absolute error = 2.32e-28
relative error = 1.2205473861311337292740451342665e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.791
y[1] (analytic) = 19.012880315601636435853512037038
y[1] (numeric) = 19.01288031560163643585351203727
absolute error = 2.32e-28
relative error = 1.2202254269155887190579348612161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.792
y[1] (analytic) = 19.017895583424269418295045540609
y[1] (numeric) = 19.017895583424269418295045540841
absolute error = 2.32e-28
relative error = 1.2199036375097565490370862497020e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.793
y[1] (analytic) = 19.022910851246902400736579044179
y[1] (numeric) = 19.022910851246902400736579044412
absolute error = 2.33e-28
relative error = 1.2248388368214817930375726573415e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.794
y[1] (analytic) = 19.02792611906953538317811254775
y[1] (numeric) = 19.027926119069535383178112547983
absolute error = 2.33e-28
relative error = 1.2245160010711334847104673403523e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.795
y[1] (analytic) = 19.032941386892168365619646051321
y[1] (numeric) = 19.032941386892168365619646051554
absolute error = 2.33e-28
relative error = 1.2241933354582030147540218944128e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.796
y[1] (analytic) = 19.037956654714801348061179554892
y[1] (numeric) = 19.037956654714801348061179555125
absolute error = 2.33e-28
relative error = 1.2238708398482298316626746810581e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.797
y[1] (analytic) = 19.042971922537434330502713058463
y[1] (numeric) = 19.042971922537434330502713058696
absolute error = 2.33e-28
relative error = 1.2235485141068950331818575426116e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.798
y[1] (analytic) = 19.047987190360067312944246562034
y[1] (numeric) = 19.047987190360067312944246562267
absolute error = 2.33e-28
relative error = 1.2232263581000211798292556843855e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.799
y[1] (analytic) = 19.053002458182700295385780065604
y[1] (numeric) = 19.053002458182700295385780065838
absolute error = 2.34e-28
relative error = 1.2281528883102827186192142984266e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 19.058017726005333277827313569175
y[1] (numeric) = 19.058017726005333277827313569409
absolute error = 2.34e-28
relative error = 1.2278296901817800126406302946638e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.801
y[1] (analytic) = 19.063032993827966260268847072746
y[1] (numeric) = 19.06303299382796626026884707298
absolute error = 2.34e-28
relative error = 1.2275066621128029592303065297876e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.802
y[1] (analytic) = 19.068048261650599242710380576317
y[1] (numeric) = 19.068048261650599242710380576551
absolute error = 2.34e-28
relative error = 1.2271838039691646628180944554767e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.803
y[1] (analytic) = 19.073063529473232225151914079888
y[1] (numeric) = 19.073063529473232225151914080122
absolute error = 2.34e-28
relative error = 1.2268611156168193657729148355831e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.804
y[1] (analytic) = 19.078078797295865207593447583459
y[1] (numeric) = 19.078078797295865207593447583693
absolute error = 2.34e-28
relative error = 1.2265385969218622628902195372562e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.805
y[1] (analytic) = 19.083094065118498190034981087029
y[1] (numeric) = 19.083094065118498190034981087264
absolute error = 2.35e-28
relative error = 1.2314564881255315782069059527329e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.806
y[1] (analytic) = 19.0881093329411311724765145906
y[1] (numeric) = 19.088109332941131172476514590835
absolute error = 2.35e-28
relative error = 1.2311329315075269719067990410270e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.807
y[1] (analytic) = 19.093124600763764154918048094171
y[1] (numeric) = 19.093124600763764154918048094406
absolute error = 2.35e-28
relative error = 1.2308095448693584594371623719855e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.808
y[1] (analytic) = 19.098139868586397137359581597742
y[1] (numeric) = 19.098139868586397137359581597977
absolute error = 2.35e-28
relative error = 1.2304863280771133547997051339676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.809
y[1] (analytic) = 19.103155136409030119801115101313
y[1] (numeric) = 19.103155136409030119801115101548
absolute error = 2.35e-28
relative error = 1.2301632809970195996527375033207e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 19.108170404231663102242648604884
y[1] (numeric) = 19.108170404231663102242648605119
absolute error = 2.35e-28
relative error = 1.2298404034954455787604401968894e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.811
y[1] (analytic) = 19.113185672054296084684182108454
y[1] (numeric) = 19.11318567205429608468418210869
absolute error = 2.36e-28
relative error = 1.2347496856322569567358066598203e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.812
y[1] (analytic) = 19.118200939876929067125715612025
y[1] (numeric) = 19.118200939876929067125715612261
absolute error = 2.36e-28
relative error = 1.2344257743820910970934310547154e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.813
y[1] (analytic) = 19.123216207699562049567249115596
y[1] (numeric) = 19.123216207699562049567249115832
absolute error = 2.36e-28
relative error = 1.2341020330302993081878203987870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.814
y[1] (analytic) = 19.128231475522195032008782619167
y[1] (numeric) = 19.128231475522195032008782619403
absolute error = 2.36e-28
relative error = 1.2337784614432436450236390090653e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.815
y[1] (analytic) = 19.133246743344828014450316122738
y[1] (numeric) = 19.133246743344828014450316122974
absolute error = 2.36e-28
relative error = 1.2334550594874262810275646607011e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.816
y[1] (analytic) = 19.138262011167460996891849626309
y[1] (numeric) = 19.138262011167460996891849626545
absolute error = 2.36e-28
relative error = 1.2331318270294893244549683387251e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.817
y[1] (analytic) = 19.143277278990093979333383129879
y[1] (numeric) = 19.143277278990093979333383130116
absolute error = 2.37e-28
relative error = 1.2380325298850969004880904403985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.818
y[1] (analytic) = 19.14829254681272696177491663345
y[1] (numeric) = 19.148292546812726961774916633687
absolute error = 2.37e-28
relative error = 1.2377082678290767074811527530123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.819
y[1] (analytic) = 19.153307814635359944216450137021
y[1] (numeric) = 19.153307814635359944216450137258
absolute error = 2.37e-28
relative error = 1.2373841755882207041537159494635e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 19.158323082457992926657983640592
y[1] (numeric) = 19.158323082457992926657983640829
absolute error = 2.37e-28
relative error = 1.2370602530291661961159793746076e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.821
y[1] (analytic) = 19.163338350280625909099517144163
y[1] (numeric) = 19.1633383502806259090995171444
absolute error = 2.37e-28
relative error = 1.2367365000186900992313638343368e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.822
y[1] (analytic) = 19.168353618103258891541050647734
y[1] (numeric) = 19.168353618103258891541050647971
absolute error = 2.37e-28
relative error = 1.2364129164237087569762012587653e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.823
y[1] (analytic) = 19.173368885925891873982584151304
y[1] (numeric) = 19.173368885925891873982584151542
absolute error = 2.38e-28
relative error = 1.2413050696307346262636471989085e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=247.9MB, alloc=4.1MB, time=15.60
x[1] = 3.824
y[1] (analytic) = 19.178384153748524856424117654875
y[1] (numeric) = 19.178384153748524856424117655113
absolute error = 2.38e-28
relative error = 1.2409804605644085973341849480720e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.825
y[1] (analytic) = 19.183399421571157838865651158446
y[1] (numeric) = 19.183399421571157838865651158684
absolute error = 2.38e-28
relative error = 1.2406560212283133271126596709614e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.826
y[1] (analytic) = 19.188414689393790821307184662017
y[1] (numeric) = 19.188414689393790821307184662255
absolute error = 2.38e-28
relative error = 1.2403317514893618599597290228508e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.827
y[1] (analytic) = 19.193429957216423803748718165588
y[1] (numeric) = 19.193429957216423803748718165826
absolute error = 2.38e-28
relative error = 1.2400076512146063434036904210680e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.828
y[1] (analytic) = 19.198445225039056786190251669159
y[1] (numeric) = 19.198445225039056786190251669397
absolute error = 2.38e-28
relative error = 1.2396837202712378464487782762349e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.829
y[1] (analytic) = 19.20346049286168976863178517273
y[1] (numeric) = 19.203460492861689768631785172968
absolute error = 2.38e-28
relative error = 1.2393599585265861781681700813338e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 19.2084757606843227510733186763
y[1] (numeric) = 19.208475760684322751073318676539
absolute error = 2.39e-28
relative error = 1.2442424009987420582895052929121e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.831
y[1] (analytic) = 19.213491028506955733514852179871
y[1] (numeric) = 19.21349102850695573351485218011
absolute error = 2.39e-28
relative error = 1.2439176183307705777209097551171e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.832
y[1] (analytic) = 19.218506296329588715956385683442
y[1] (numeric) = 19.218506296329588715956385683681
absolute error = 2.39e-28
relative error = 1.2435930051735861386348656763709e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.833
y[1] (analytic) = 19.223521564152221698397919187013
y[1] (numeric) = 19.223521564152221698397919187252
absolute error = 2.39e-28
relative error = 1.2432685613945165883769385003531e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.834
y[1] (analytic) = 19.228536831974854680839452690584
y[1] (numeric) = 19.228536831974854680839452690823
absolute error = 2.39e-28
relative error = 1.2429442868610281907273879164980e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.835
y[1] (analytic) = 19.233552099797487663280986194155
y[1] (numeric) = 19.233552099797487663280986194394
absolute error = 2.39e-28
relative error = 1.2426201814407254454364550904441e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.836
y[1] (analytic) = 19.238567367620120645722519697725
y[1] (numeric) = 19.238567367620120645722519697965
absolute error = 2.40e-28
relative error = 1.2474941372398502842261958556516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.837
y[1] (analytic) = 19.243582635442753628164053201296
y[1] (numeric) = 19.243582635442753628164053201536
absolute error = 2.40e-28
relative error = 1.2471690149731732317674452182120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.838
y[1] (analytic) = 19.248597903265386610605586704867
y[1] (numeric) = 19.248597903265386610605586705107
absolute error = 2.40e-28
relative error = 1.2468440621292510917904344195622e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.839
y[1] (analytic) = 19.253613171088019593047120208438
y[1] (numeric) = 19.253613171088019593047120208678
absolute error = 2.40e-28
relative error = 1.2465192785756878588933803861108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 19.258628438910652575488653712009
y[1] (numeric) = 19.258628438910652575488653712249
absolute error = 2.40e-28
relative error = 1.2461946641802254401801269016353e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.841
y[1] (analytic) = 19.26364370673328555793018721558
y[1] (numeric) = 19.26364370673328555793018721582
absolute error = 2.40e-28
relative error = 1.2458702188107434757333213492006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.842
y[1] (analytic) = 19.26865897455591854037172071915
y[1] (numeric) = 19.268658974555918540371720719391
absolute error = 2.41e-28
relative error = 1.2507357170949894058653225748844e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.843
y[1] (analytic) = 19.273674242378551522813254222721
y[1] (numeric) = 19.273674242378551522813254222962
absolute error = 2.41e-28
relative error = 1.2504102589328517557467003207665e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.844
y[1] (analytic) = 19.278689510201184505254787726292
y[1] (numeric) = 19.278689510201184505254787726533
absolute error = 2.41e-28
relative error = 1.2500849701037849368716361427434e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.845
y[1] (analytic) = 19.283704778023817487696321229863
y[1] (numeric) = 19.283704778023817487696321230104
absolute error = 2.41e-28
relative error = 1.2497598504756695181624367575307e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.846
y[1] (analytic) = 19.288720045846450470137854733434
y[1] (numeric) = 19.288720045846450470137854733675
absolute error = 2.41e-28
relative error = 1.2494348999165234782461178712183e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.847
y[1] (analytic) = 19.293735313669083452579388237005
y[1] (numeric) = 19.293735313669083452579388237246
absolute error = 2.41e-28
relative error = 1.2491101182945020268610785892138e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.848
y[1] (analytic) = 19.298750581491716435020921740575
y[1] (numeric) = 19.298750581491716435020921740817
absolute error = 2.42e-28
relative error = 1.2539671880732413992664894394834e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.849
y[1] (analytic) = 19.303765849314349417462455244146
y[1] (numeric) = 19.303765849314349417462455244388
absolute error = 2.42e-28
relative error = 1.2536413976892265275077815960332e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 19.308781117136982399903988747717
y[1] (numeric) = 19.308781117136982399903988747959
absolute error = 2.42e-28
relative error = 1.2533157765469695855525847696446e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.851
y[1] (analytic) = 19.313796384959615382345522251288
y[1] (numeric) = 19.31379638495961538234552225153
absolute error = 2.42e-28
relative error = 1.2529903245146281237022724910755e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.852
y[1] (analytic) = 19.318811652782248364787055754859
y[1] (numeric) = 19.318811652782248364787055755101
absolute error = 2.42e-28
relative error = 1.2526650414604966003056727318618e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.853
y[1] (analytic) = 19.32382692060488134722858925843
y[1] (numeric) = 19.323826920604881347228589258672
absolute error = 2.42e-28
relative error = 1.2523399272530062040948485240415e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.854
y[1] (analytic) = 19.328842188427514329670122762
y[1] (numeric) = 19.328842188427514329670122762243
absolute error = 2.43e-28
relative error = 1.2571885973878351093462203927240e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.855
y[1] (analytic) = 19.333857456250147312111656265571
y[1] (numeric) = 19.333857456250147312111656265814
absolute error = 2.43e-28
relative error = 1.2568624784261262027030696221941e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.856
y[1] (analytic) = 19.338872724072780294553189769142
y[1] (numeric) = 19.338872724072780294553189769385
absolute error = 2.43e-28
relative error = 1.2565365286132563566961445522713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.857
y[1] (analytic) = 19.343887991895413276994723272713
y[1] (numeric) = 19.343887991895413276994723272956
absolute error = 2.43e-28
relative error = 1.2562107478176604903863970426648e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.858
y[1] (analytic) = 19.348903259718046259436256776284
y[1] (numeric) = 19.348903259718046259436256776527
absolute error = 2.43e-28
relative error = 1.2558851359079099303837048713214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.859
y[1] (analytic) = 19.353918527540679241877790279855
y[1] (numeric) = 19.353918527540679241877790280098
absolute error = 2.43e-28
relative error = 1.2555596927527122341073680729614e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 19.358933795363312224319323783425
y[1] (numeric) = 19.358933795363312224319323783669
absolute error = 2.44e-28
relative error = 1.2603999919584456265448744621721e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.861
y[1] (analytic) = 19.363949063185945206760857286996
y[1] (numeric) = 19.36394906318594520676085728724
absolute error = 2.44e-28
relative error = 1.2600735480340844647664375612495e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.862
y[1] (analytic) = 19.368964331008578189202390790567
y[1] (numeric) = 19.368964331008578189202390790811
absolute error = 2.44e-28
relative error = 1.2597472731640601031753535535951e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.863
y[1] (analytic) = 19.373979598831211171643924294138
y[1] (numeric) = 19.373979598831211171643924294382
absolute error = 2.44e-28
relative error = 1.2594211672170851976347956054839e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.864
y[1] (analytic) = 19.378994866653844154085457797709
y[1] (numeric) = 19.378994866653844154085457797953
absolute error = 2.44e-28
relative error = 1.2590952300620083122316810103479e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.865
y[1] (analytic) = 19.38401013447647713652699130128
y[1] (numeric) = 19.384010134476477136526991301524
absolute error = 2.44e-28
relative error = 1.2587694615678137434574942882236e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.866
y[1] (analytic) = 19.38902540229911011896852480485
y[1] (numeric) = 19.389025402299110118968524805095
absolute error = 2.45e-28
relative error = 1.2636014184134722518122342096251e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.867
y[1] (analytic) = 19.394040670121743101410058308421
y[1] (numeric) = 19.394040670121743101410058308666
absolute error = 2.45e-28
relative error = 1.2632746531126153932004389589890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.868
y[1] (analytic) = 19.399055937944376083851591811992
y[1] (numeric) = 19.399055937944376083851591812237
absolute error = 2.45e-28
relative error = 1.2629480567700319869457335714608e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.869
y[1] (analytic) = 19.404071205767009066293125315563
y[1] (numeric) = 19.404071205767009066293125315808
absolute error = 2.45e-28
relative error = 1.2626216292547127747495728752676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 19.409086473589642048734658819134
y[1] (numeric) = 19.409086473589642048734658819379
absolute error = 2.45e-28
relative error = 1.2622953704357839083995083861525e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.871
y[1] (analytic) = 19.414101741412275031176192322705
y[1] (numeric) = 19.41410174141227503117619232295
absolute error = 2.45e-28
relative error = 1.2619692801825067748659512927952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.872
y[1] (analytic) = 19.419117009234908013617725826275
y[1] (numeric) = 19.419117009234908013617725826521
absolute error = 2.46e-28
relative error = 1.2667929230922952821665752801748e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.873
y[1] (analytic) = 19.424132277057540996059259329846
y[1] (numeric) = 19.424132277057540996059259330092
absolute error = 2.46e-28
relative error = 1.2664658399724676820420809410887e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.874
y[1] (analytic) = 19.429147544880173978500792833417
y[1] (numeric) = 19.429147544880173978500792833663
absolute error = 2.46e-28
relative error = 1.2661389257133111338536343533393e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.875
y[1] (analytic) = 19.434162812702806960942326336988
y[1] (numeric) = 19.434162812702806960942326337234
absolute error = 2.46e-28
relative error = 1.2658121801840947954965108347965e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.876
y[1] (analytic) = 19.439178080525439943383859840559
y[1] (numeric) = 19.439178080525439943383859840805
absolute error = 2.46e-28
relative error = 1.2654856032542227380157325812272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.877
y[1] (analytic) = 19.44419334834807292582539334413
y[1] (numeric) = 19.444193348348072925825393344376
absolute error = 2.46e-28
relative error = 1.2651591947932337716143872800713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.878
y[1] (analytic) = 19.4492086161707059082669268477
y[1] (numeric) = 19.449208616170705908266926847947
absolute error = 2.47e-28
relative error = 1.2699745520475118462072876522080e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.879
y[1] (analytic) = 19.454223883993338890708460351271
y[1] (numeric) = 19.454223883993338890708460351518
absolute error = 2.47e-28
relative error = 1.2696471546378579375075693517048e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 19.459239151815971873149993854842
y[1] (numeric) = 19.459239151815971873149993855089
absolute error = 2.47e-28
relative error = 1.2693199259897553968020261637275e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.881
y[1] (analytic) = 19.464254419638604855591527358413
y[1] (numeric) = 19.46425441963860485559152735866
absolute error = 2.47e-28
relative error = 1.2689928659727521101756922224331e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=251.7MB, alloc=4.1MB, time=15.83
TOP MAIN SOLVE Loop
x[1] = 3.882
y[1] (analytic) = 19.469269687461237838033060861984
y[1] (numeric) = 19.469269687461237838033060862231
absolute error = 2.47e-28
relative error = 1.2686659744565303811416438730713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.883
y[1] (analytic) = 19.474284955283870820474594365555
y[1] (numeric) = 19.474284955283870820474594365802
absolute error = 2.47e-28
relative error = 1.2683392513109067575564927930112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.884
y[1] (analytic) = 19.479300223106503802916127869125
y[1] (numeric) = 19.479300223106503802916127869373
absolute error = 2.48e-28
relative error = 1.2731463510471510161263500375100e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.885
y[1] (analytic) = 19.484315490929136785357661372696
y[1] (numeric) = 19.484315490929136785357661372944
absolute error = 2.48e-28
relative error = 1.2728186428486832809870639757243e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.886
y[1] (analytic) = 19.489330758751769767799194876267
y[1] (numeric) = 19.489330758751769767799194876515
absolute error = 2.48e-28
relative error = 1.2724911033111514530712155289987e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.887
y[1] (analytic) = 19.494346026574402750240728379838
y[1] (numeric) = 19.494346026574402750240728380086
absolute error = 2.48e-28
relative error = 1.2721637323043824406057997287597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.888
y[1] (analytic) = 19.499361294397035732682261883409
y[1] (numeric) = 19.499361294397035732682261883657
absolute error = 2.48e-28
relative error = 1.2718365296983370747517344510516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.889
y[1] (analytic) = 19.50437656221966871512379538698
y[1] (numeric) = 19.504376562219668715123795387228
absolute error = 2.48e-28
relative error = 1.2715094953631099374221505645896e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 19.50939183004230169756532889055
y[1] (numeric) = 19.509391830042301697565328890799
absolute error = 2.49e-28
relative error = 1.2763083655768684199685412792070e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.891
y[1] (analytic) = 19.514407097864934680006862394121
y[1] (numeric) = 19.51440709786493468000686239437
absolute error = 2.49e-28
relative error = 1.2759803500627134807703997882588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.892
y[1] (analytic) = 19.519422365687567662448395897692
y[1] (numeric) = 19.519422365687567662448395897941
absolute error = 2.49e-28
relative error = 1.2756525031074044588072008160625e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.893
y[1] (analytic) = 19.524437633510200644889929401263
y[1] (numeric) = 19.524437633510200644889929401512
absolute error = 2.49e-28
relative error = 1.2753248245810475606672554780670e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.894
y[1] (analytic) = 19.529452901332833627331462904834
y[1] (numeric) = 19.529452901332833627331462905083
absolute error = 2.49e-28
relative error = 1.2749973143538824226188047190845e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.895
y[1] (analytic) = 19.534468169155466609772996408405
y[1] (numeric) = 19.534468169155466609772996408654
absolute error = 2.49e-28
relative error = 1.2746699722962819393267331389255e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.896
y[1] (analytic) = 19.539483436978099592214529911975
y[1] (numeric) = 19.539483436978099592214529912225
absolute error = 2.50e-28
relative error = 1.2794606408421205751336005150260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.897
y[1] (analytic) = 19.544498704800732574656063415546
y[1] (numeric) = 19.544498704800732574656063415796
absolute error = 2.50e-28
relative error = 1.2791323214577628331333096244653e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.898
y[1] (analytic) = 19.549513972623365557097596919117
y[1] (numeric) = 19.549513972623365557097596919367
absolute error = 2.50e-28
relative error = 1.2788041705287074809442041063472e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.899
y[1] (analytic) = 19.554529240445998539539130422688
y[1] (numeric) = 19.554529240445998539539130422938
absolute error = 2.50e-28
relative error = 1.2784761879253402823084143643347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 19.559544508268631521980663926259
y[1] (numeric) = 19.559544508268631521980663926509
absolute error = 2.50e-28
relative error = 1.2781483735181799386462840016772e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.901
y[1] (analytic) = 19.56455977609126450442219742983
y[1] (numeric) = 19.56455977609126450442219743008
absolute error = 2.50e-28
relative error = 1.2778207271778779186671385815281e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.902
y[1] (analytic) = 19.569575043913897486863730933401
y[1] (numeric) = 19.569575043913897486863730933651
absolute error = 2.50e-28
relative error = 1.2774932487752182882420573056230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.903
y[1] (analytic) = 19.574590311736530469305264436971
y[1] (numeric) = 19.574590311736530469305264437222
absolute error = 2.51e-28
relative error = 1.2822746019338420107003304219747e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.904
y[1] (analytic) = 19.579605579559163451746797940542
y[1] (numeric) = 19.579605579559163451746797940793
absolute error = 2.51e-28
relative error = 1.2819461504476909241197207061904e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.905
y[1] (analytic) = 19.584620847381796434188331444113
y[1] (numeric) = 19.584620847381796434188331444364
absolute error = 2.51e-28
relative error = 1.2816178671825314642159768596587e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.906
y[1] (analytic) = 19.589636115204429416629864947684
y[1] (numeric) = 19.589636115204429416629864947935
absolute error = 2.51e-28
relative error = 1.2812897520091616404924192618964e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.907
y[1] (analytic) = 19.594651383027062399071398451255
y[1] (numeric) = 19.594651383027062399071398451506
absolute error = 2.51e-28
relative error = 1.2809618047985117398933682203653e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.908
y[1] (analytic) = 19.599666650849695381512931954826
y[1] (numeric) = 19.599666650849695381512931955077
absolute error = 2.51e-28
relative error = 1.2806340254216441575648386993263e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.909
y[1] (analytic) = 19.604681918672328363954465458396
y[1] (numeric) = 19.604681918672328363954465458648
absolute error = 2.52e-28
relative error = 1.2854072361152900933247049545648e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 19.609697186494961346395998961967
y[1] (numeric) = 19.609697186494961346395998962219
absolute error = 2.52e-28
relative error = 1.2850784874615521674696346975431e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.911
y[1] (analytic) = 19.614712454317594328837532465538
y[1] (numeric) = 19.61471245431759432883753246579
absolute error = 2.52e-28
relative error = 1.2847499069226972576850605132686e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.912
y[1] (analytic) = 19.619727722140227311279065969109
y[1] (numeric) = 19.619727722140227311279065969361
absolute error = 2.52e-28
relative error = 1.2844214943698029076703148434032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.913
y[1] (analytic) = 19.62474298996286029372059947268
y[1] (numeric) = 19.624742989962860293720599472932
absolute error = 2.52e-28
relative error = 1.2840932496740784499888248574990e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.914
y[1] (analytic) = 19.629758257785493276162132976251
y[1] (numeric) = 19.629758257785493276162132976503
absolute error = 2.52e-28
relative error = 1.2837651727068648377123841766462e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.915
y[1] (analytic) = 19.634773525608126258603666479821
y[1] (numeric) = 19.634773525608126258603666480074
absolute error = 2.53e-28
relative error = 1.2885302683528869940866292970165e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.916
y[1] (analytic) = 19.639788793430759241045199983392
y[1] (numeric) = 19.639788793430759241045199983645
absolute error = 2.53e-28
relative error = 1.2882012258941656235569851118028e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.917
y[1] (analytic) = 19.644804061253392223486733486963
y[1] (numeric) = 19.644804061253392223486733487216
absolute error = 2.53e-28
relative error = 1.2878723514428268015953928255858e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.918
y[1] (analytic) = 19.649819329076025205928266990534
y[1] (numeric) = 19.649819329076025205928266990787
absolute error = 2.53e-28
relative error = 1.2875436448702278156838064568197e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.919
y[1] (analytic) = 19.654834596898658188369800494105
y[1] (numeric) = 19.654834596898658188369800494358
absolute error = 2.53e-28
relative error = 1.2872151060478572548734763199336e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 19.659849864721291170811333997676
y[1] (numeric) = 19.659849864721291170811333997929
absolute error = 2.53e-28
relative error = 1.2868867348473348423084575759744e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.921
y[1] (analytic) = 19.664865132543924153252867501246
y[1] (numeric) = 19.6648651325439241532528675015
absolute error = 2.54e-28
relative error = 1.2916437427259464904085783545641e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.922
y[1] (analytic) = 19.669880400366557135694401004817
y[1] (numeric) = 19.669880400366557135694401005071
absolute error = 2.54e-28
relative error = 1.2913144097981734290902691810928e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.923
y[1] (analytic) = 19.674895668189190118135934508388
y[1] (numeric) = 19.674895668189190118135934508642
absolute error = 2.54e-28
relative error = 1.2909852447689105758072994464048e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.924
y[1] (analytic) = 19.679910936011823100577468011959
y[1] (numeric) = 19.679910936011823100577468012213
absolute error = 2.54e-28
relative error = 1.2906562475097951551712629276875e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.925
y[1] (analytic) = 19.68492620383445608301900151553
y[1] (numeric) = 19.684926203834456083019001515784
absolute error = 2.54e-28
relative error = 1.2903274178925952073610282110180e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.926
y[1] (analytic) = 19.689941471657089065460535019101
y[1] (numeric) = 19.689941471657089065460535019355
absolute error = 2.54e-28
relative error = 1.2899987557892094215211502109643e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.927
y[1] (analytic) = 19.694956739479722047902068522671
y[1] (numeric) = 19.694956739479722047902068522926
absolute error = 2.55e-28
relative error = 1.2947477030443900677196123653354e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.928
y[1] (analytic) = 19.699972007302355030343602026242
y[1] (numeric) = 19.699972007302355030343602026497
absolute error = 2.55e-28
relative error = 1.2944180829570569745251827287862e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.929
y[1] (analytic) = 19.704987275124988012785135529813
y[1] (numeric) = 19.704987275124988012785135530068
absolute error = 2.55e-28
relative error = 1.2940886306580096197340080831438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 19.710002542947620995226669033384
y[1] (numeric) = 19.710002542947620995226669033639
absolute error = 2.55e-28
relative error = 1.2937593460191653424770783100947e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.931
y[1] (analytic) = 19.715017810770253977668202536955
y[1] (numeric) = 19.71501781077025397766820253721
absolute error = 2.55e-28
relative error = 1.2934302289125718127537313046736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.932
y[1] (analytic) = 19.720033078592886960109736040526
y[1] (numeric) = 19.720033078592886960109736040781
absolute error = 2.55e-28
relative error = 1.2931012792104068657006403251963e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.933
y[1] (analytic) = 19.725048346415519942551269544096
y[1] (numeric) = 19.725048346415519942551269544352
absolute error = 2.56e-28
relative error = 1.2978421928508017805689803684460e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.934
y[1] (analytic) = 19.730063614238152924992803047667
y[1] (numeric) = 19.730063614238152924992803047923
absolute error = 2.56e-28
relative error = 1.2975122888871894771168784415603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.935
y[1] (analytic) = 19.735078882060785907434336551238
y[1] (numeric) = 19.735078882060785907434336551494
absolute error = 2.56e-28
relative error = 1.2971825526003058203247267570771e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.936
y[1] (analytic) = 19.740094149883418889875870054809
y[1] (numeric) = 19.740094149883418889875870055065
absolute error = 2.56e-28
relative error = 1.2968529838623484255533027919457e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.937
y[1] (analytic) = 19.74510941770605187231740355838
y[1] (numeric) = 19.745109417706051872317403558636
absolute error = 2.56e-28
relative error = 1.2965235825456447556458724381758e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.938
y[1] (analytic) = 19.750124685528684854758937061951
y[1] (numeric) = 19.750124685528684854758937062207
absolute error = 2.56e-28
relative error = 1.2961943485226519560634331612743e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.939
y[1] (analytic) = 19.755139953351317837200470565521
y[1] (numeric) = 19.755139953351317837200470565778
absolute error = 2.57e-28
relative error = 1.3009272554224643335924553997269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=255.5MB, alloc=4.1MB, time=16.07
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 19.760155221173950819642004069092
y[1] (numeric) = 19.760155221173950819642004069349
absolute error = 2.57e-28
relative error = 1.3005970708398697994976349795747e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.941
y[1] (analytic) = 19.765170488996583802083537572663
y[1] (numeric) = 19.76517048899658380208353757292
absolute error = 2.57e-28
relative error = 1.3002670538211334712054508549922e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.942
y[1] (analytic) = 19.770185756819216784525071076234
y[1] (numeric) = 19.770185756819216784525071076491
absolute error = 2.57e-28
relative error = 1.2999372042387333866110303956175e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.943
y[1] (analytic) = 19.775201024641849766966604579805
y[1] (numeric) = 19.775201024641849766966604580062
absolute error = 2.57e-28
relative error = 1.2996075219652769490288313009192e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.944
y[1] (analytic) = 19.780216292464482749408138083376
y[1] (numeric) = 19.780216292464482749408138083633
absolute error = 2.57e-28
relative error = 1.2992780068735007631898280475467e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.945
y[1] (analytic) = 19.785231560287115731849671586946
y[1] (numeric) = 19.785231560287115731849671587204
absolute error = 2.58e-28
relative error = 1.3040029337733765822721327883272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.946
y[1] (analytic) = 19.790246828109748714291205090517
y[1] (numeric) = 19.790246828109748714291205090775
absolute error = 2.58e-28
relative error = 1.3036724718033377133967470476307e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.947
y[1] (analytic) = 19.795262095932381696732738594088
y[1] (numeric) = 19.795262095932381696732738594346
absolute error = 2.58e-28
relative error = 1.3033421772829923022709814669244e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.948
y[1] (analytic) = 19.800277363755014679174272097659
y[1] (numeric) = 19.800277363755014679174272097917
absolute error = 2.58e-28
relative error = 1.3030120500850989404922907421354e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.949
y[1] (analytic) = 19.80529263157764766161580560123
y[1] (numeric) = 19.805292631577647661615805601488
absolute error = 2.58e-28
relative error = 1.3026820900825451043463063686884e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 19.810307899400280644057339104801
y[1] (numeric) = 19.810307899400280644057339105059
absolute error = 2.58e-28
relative error = 1.3023522971483469916616617341647e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.951
y[1] (analytic) = 19.815323167222913626498872608371
y[1] (numeric) = 19.81532316722291362649887260863
absolute error = 2.59e-28
relative error = 1.3070692706562526510013783549422e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.952
y[1] (analytic) = 19.820338435045546608940406111942
y[1] (numeric) = 19.820338435045546608940406112201
absolute error = 2.59e-28
relative error = 1.3067385345047708056949508806621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.953
y[1] (analytic) = 19.825353702868179591381939615513
y[1] (numeric) = 19.825353702868179591381939615772
absolute error = 2.59e-28
relative error = 1.3064079656875421766016812244818e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.954
y[1] (analytic) = 19.830368970690812573823473119084
y[1] (numeric) = 19.830368970690812573823473119343
absolute error = 2.59e-28
relative error = 1.3060775640776060253177657765242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.955
y[1] (analytic) = 19.835384238513445556265006622655
y[1] (numeric) = 19.835384238513445556265006622914
absolute error = 2.59e-28
relative error = 1.3057473295481300187374073022444e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.956
y[1] (analytic) = 19.840399506336078538706540126226
y[1] (numeric) = 19.840399506336078538706540126485
absolute error = 2.59e-28
relative error = 1.3054172619724100667609822751205e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.957
y[1] (analytic) = 19.845414774158711521148073629796
y[1] (numeric) = 19.845414774158711521148073630056
absolute error = 2.60e-28
relative error = 1.3101263085645028635707171874660e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.958
y[1] (analytic) = 19.850430041981344503589607133367
y[1] (numeric) = 19.850430041981344503589607133627
absolute error = 2.60e-28
relative error = 1.3097953014122632216142819380503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.959
y[1] (analytic) = 19.855445309803977486031140636938
y[1] (numeric) = 19.855445309803977486031140637198
absolute error = 2.60e-28
relative error = 1.3094644614775796491915453172020e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 19.860460577626610468472674140509
y[1] (numeric) = 19.860460577626610468472674140769
absolute error = 2.60e-28
relative error = 1.3091337886337721795831636138391e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.961
y[1] (analytic) = 19.86547584544924345091420764408
y[1] (numeric) = 19.86547584544924345091420764434
absolute error = 2.60e-28
relative error = 1.3088032827542887733272728883622e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.962
y[1] (analytic) = 19.870491113271876433355741147651
y[1] (numeric) = 19.870491113271876433355741147911
absolute error = 2.60e-28
relative error = 1.3084729437127051567767107296322e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.963
y[1] (analytic) = 19.875506381094509415797274651221
y[1] (numeric) = 19.875506381094509415797274651482
absolute error = 2.61e-28
relative error = 1.3131740897341966788272041234492e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.964
y[1] (analytic) = 19.880521648917142398238808154792
y[1] (numeric) = 19.880521648917142398238808155053
absolute error = 2.61e-28
relative error = 1.3128428147367864374854212767985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.965
y[1] (analytic) = 19.885536916739775380680341658363
y[1] (numeric) = 19.885536916739775380680341658624
absolute error = 2.61e-28
relative error = 1.3125117068389965796197250797551e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.966
y[1] (analytic) = 19.890552184562408363121875161934
y[1] (numeric) = 19.890552184562408363121875162195
absolute error = 2.61e-28
relative error = 1.3121807659144279975270322595131e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.967
y[1] (analytic) = 19.895567452385041345563408665505
y[1] (numeric) = 19.895567452385041345563408665766
absolute error = 2.61e-28
relative error = 1.3118499918368090340792059342649e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.968
y[1] (analytic) = 19.900582720207674328004942169076
y[1] (numeric) = 19.900582720207674328004942169337
absolute error = 2.61e-28
relative error = 1.3115193844799953221250529085758e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.969
y[1] (analytic) = 19.905597988030307310446475672646
y[1] (numeric) = 19.905597988030307310446475672908
absolute error = 2.62e-28
relative error = 1.3162126561460078219287205773886e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 19.910613255852940292888009176217
y[1] (numeric) = 19.910613255852940292888009176479
absolute error = 2.62e-28
relative error = 1.3158811164341322532078317308955e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.971
y[1] (analytic) = 19.915628523675573275329542679788
y[1] (numeric) = 19.91562852367557327532954268005
absolute error = 2.62e-28
relative error = 1.3155497437027209884752183257757e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.972
y[1] (analytic) = 19.920643791498206257771076183359
y[1] (numeric) = 19.920643791498206257771076183621
absolute error = 2.62e-28
relative error = 1.3152185378256558522746958639615e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.973
y[1] (analytic) = 19.92565905932083924021260968693
y[1] (numeric) = 19.925659059320839240212609687192
absolute error = 2.62e-28
relative error = 1.3148874986769456444085305742902e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.974
y[1] (analytic) = 19.930674327143472222654143190501
y[1] (numeric) = 19.930674327143472222654143190763
absolute error = 2.62e-28
relative error = 1.3145566261307259801799426199434e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.975
y[1] (analytic) = 19.935689594966105205095676694072
y[1] (numeric) = 19.935689594966105205095676694334
absolute error = 2.62e-28
relative error = 1.3142259200612591308767526972717e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.976
y[1] (analytic) = 19.940704862788738187537210197642
y[1] (numeric) = 19.940704862788738187537210197905
absolute error = 2.63e-28
relative error = 1.3189102482068381922228304834209e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.977
y[1] (analytic) = 19.945720130611371169978743701213
y[1] (numeric) = 19.945720130611371169978743701476
absolute error = 2.63e-28
relative error = 1.3185786137466403450535514211922e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.978
y[1] (analytic) = 19.950735398434004152420277204784
y[1] (numeric) = 19.950735398434004152420277205047
absolute error = 2.63e-28
relative error = 1.3182471460207110739763634997691e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.979
y[1] (analytic) = 19.955750666256637134861810708355
y[1] (numeric) = 19.955750666256637134861810708618
absolute error = 2.63e-28
relative error = 1.3179158449033396964759924609403e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 19.960765934079270117303344211926
y[1] (numeric) = 19.960765934079270117303344212189
absolute error = 2.63e-28
relative error = 1.3175847102689418724316517593169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.981
y[1] (analytic) = 19.965781201901903099744877715497
y[1] (numeric) = 19.96578120190190309974487771576
absolute error = 2.63e-28
relative error = 1.3172537419920594454353112288574e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.982
y[1] (analytic) = 19.970796469724536082186411219067
y[1] (numeric) = 19.970796469724536082186411219331
absolute error = 2.64e-28
relative error = 1.3219302515060954945557147243866e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.983
y[1] (analytic) = 19.975811737547169064627944722638
y[1] (numeric) = 19.975811737547169064627944722902
absolute error = 2.64e-28
relative error = 1.3215983583975074715844479117518e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.984
y[1] (analytic) = 19.980827005369802047069478226209
y[1] (numeric) = 19.980827005369802047069478226473
absolute error = 2.64e-28
relative error = 1.3212666319019257679018212933001e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.985
y[1] (analytic) = 19.98584227319243502951101172978
y[1] (numeric) = 19.985842273192435029511011730044
absolute error = 2.64e-28
relative error = 1.3209350718939202658270655037660e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.986
y[1] (analytic) = 19.990857541015068011952545233351
y[1] (numeric) = 19.990857541015068011952545233615
absolute error = 2.64e-28
relative error = 1.3206036782481867183444194762939e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.987
y[1] (analytic) = 19.995872808837700994394078736922
y[1] (numeric) = 19.995872808837700994394078737186
absolute error = 2.64e-28
relative error = 1.3202724508395465912517823006038e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.988
y[1] (analytic) = 20.000888076660333976835612240492
y[1] (numeric) = 20.000888076660333976835612240757
absolute error = 2.65e-28
relative error = 1.3249411675336398862496835664327e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.989
y[1] (analytic) = 20.005903344482966959277145744063
y[1] (numeric) = 20.005903344482966959277145744328
absolute error = 2.65e-28
relative error = 1.3246090188328292470202401762180e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 20.010918612305599941718679247634
y[1] (numeric) = 20.010918612305599941718679247899
absolute error = 2.65e-28
relative error = 1.3242770366225954552290070333167e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.991
y[1] (analytic) = 20.015933880128232924160212751205
y[1] (numeric) = 20.01593388012823292416021275147
absolute error = 2.65e-28
relative error = 1.3239452207777889918225352199784e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.992
y[1] (analytic) = 20.020949147950865906601746254776
y[1] (numeric) = 20.020949147950865906601746255041
absolute error = 2.65e-28
relative error = 1.3236135711733857380670686530395e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.993
y[1] (analytic) = 20.025964415773498889043279758347
y[1] (numeric) = 20.025964415773498889043279758612
absolute error = 2.65e-28
relative error = 1.3232820876844868185233503788965e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.994
y[1] (analytic) = 20.030979683596131871484813261917
y[1] (numeric) = 20.030979683596131871484813262183
absolute error = 2.66e-28
relative error = 1.3279430372436253063111217058988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.995
y[1] (analytic) = 20.035994951418764853926346765488
y[1] (numeric) = 20.035994951418764853926346765754
absolute error = 2.66e-28
relative error = 1.3276106359827382912156746166107e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.996
y[1] (analytic) = 20.041010219241397836367880269059
y[1] (numeric) = 20.041010219241397836367880269325
absolute error = 2.66e-28
relative error = 1.3272784010888487170687237470870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.997
y[1] (analytic) = 20.04602548706403081880941377263
memory used=259.4MB, alloc=4.1MB, time=16.32
y[1] (numeric) = 20.046025487064030818809413772896
absolute error = 2.66e-28
relative error = 1.3269463324370876841147410791493e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.998
y[1] (analytic) = 20.051040754886663801250947276201
y[1] (numeric) = 20.051040754886663801250947276467
absolute error = 2.66e-28
relative error = 1.3266144299027112239636368417608e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 3.999
y[1] (analytic) = 20.056056022709296783692480779772
y[1] (numeric) = 20.056056022709296783692480780038
absolute error = 2.66e-28
relative error = 1.3262826933611001433875018988146e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 20.061071290531929766134014283342
y[1] (numeric) = 20.061071290531929766134014283609
absolute error = 2.67e-28
relative error = 1.3309359013444807701123755309465e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.001
y[1] (analytic) = 20.066086558354562748575547786913
y[1] (numeric) = 20.06608655835456274857554778718
absolute error = 2.67e-28
relative error = 1.3306032505318478081603354470847e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.002
y[1] (analytic) = 20.071101826177195731017081290484
y[1] (numeric) = 20.071101826177195731017081290751
absolute error = 2.67e-28
relative error = 1.3302707659615000201023243687621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.003
y[1] (analytic) = 20.076117093999828713458614794055
y[1] (numeric) = 20.076117093999828713458614794322
absolute error = 2.67e-28
relative error = 1.3299384475088491332624287094144e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.004
y[1] (analytic) = 20.081132361822461695900148297626
y[1] (numeric) = 20.081132361822461695900148297893
absolute error = 2.67e-28
relative error = 1.3296062950494313387736019290175e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.005
y[1] (analytic) = 20.086147629645094678341681801197
y[1] (numeric) = 20.086147629645094678341681801464
absolute error = 2.67e-28
relative error = 1.3292743084589071361921353617443e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.006
y[1] (analytic) = 20.091162897467727660783215304767
y[1] (numeric) = 20.091162897467727660783215305035
absolute error = 2.68e-28
relative error = 1.3339198003007505460540150160290e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.007
y[1] (analytic) = 20.096178165290360643224748808338
y[1] (numeric) = 20.096178165290360643224748808606
absolute error = 2.68e-28
relative error = 1.3335869029210897647847227736991e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.008
y[1] (analytic) = 20.101193433112993625666282311909
y[1] (numeric) = 20.101193433112993625666282312177
absolute error = 2.68e-28
relative error = 1.3332541716578859000729501382765e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.009
y[1] (analytic) = 20.10620870093562660810781581548
y[1] (numeric) = 20.106208700935626608107815815748
absolute error = 2.68e-28
relative error = 1.3329216063868313014448451369948e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 20.111223968758259590549349319051
y[1] (numeric) = 20.111223968758259590549349319319
absolute error = 2.68e-28
relative error = 1.3325892069837423160828888165117e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.011
y[1] (analytic) = 20.116239236580892572990882822622
y[1] (numeric) = 20.11623923658089257299088282289
absolute error = 2.68e-28
relative error = 1.3322569733245591342538978195493e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.012
y[1] (analytic) = 20.121254504403525555432416326192
y[1] (numeric) = 20.121254504403525555432416326461
absolute error = 2.69e-28
relative error = 1.3368947743349178201732966561910e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.013
y[1] (analytic) = 20.126269772226158537873949829763
y[1] (numeric) = 20.126269772226158537873949830032
absolute error = 2.69e-28
relative error = 1.3365616333495365797496302478541e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.014
y[1] (analytic) = 20.131285040048791520315483333334
y[1] (numeric) = 20.131285040048791520315483333603
absolute error = 2.69e-28
relative error = 1.3362286583536846772633946648327e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.015
y[1] (analytic) = 20.136300307871424502757016836905
y[1] (numeric) = 20.136300307871424502757016837174
absolute error = 2.69e-28
relative error = 1.3358958492233350671320712788638e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.016
y[1] (analytic) = 20.141315575694057485198550340476
y[1] (numeric) = 20.141315575694057485198550340745
absolute error = 2.69e-28
relative error = 1.3355632058345842366870682730673e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.017
y[1] (analytic) = 20.146330843516690467640083844047
y[1] (numeric) = 20.146330843516690467640083844316
absolute error = 2.69e-28
relative error = 1.3352307280636520524110695007812e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.018
y[1] (analytic) = 20.151346111339323450081617347617
y[1] (numeric) = 20.151346111339323450081617347887
absolute error = 2.70e-28
relative error = 1.3398608634292120212986929355561e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.019
y[1] (analytic) = 20.156361379161956432523150851188
y[1] (numeric) = 20.156361379161956432523150851458
absolute error = 2.70e-28
relative error = 1.3395274817762064945454461843903e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 20.161376646984589414964684354759
y[1] (numeric) = 20.161376646984589414964684355029
absolute error = 2.70e-28
relative error = 1.3391942659847198760144647301156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.021
y[1] (analytic) = 20.16639191480722239740621785833
y[1] (numeric) = 20.1663919148072223974062178586
absolute error = 2.70e-28
relative error = 1.3388612159310056954931977654973e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.022
y[1] (analytic) = 20.171407182629855379847751361901
y[1] (numeric) = 20.171407182629855379847751362171
absolute error = 2.70e-28
relative error = 1.3385283314914405523565758863910e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.023
y[1] (analytic) = 20.176422450452488362289284865472
y[1] (numeric) = 20.176422450452488362289284865742
absolute error = 2.70e-28
relative error = 1.3381956125425239626095322433667e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.024
y[1] (analytic) = 20.181437718275121344730818369042
y[1] (numeric) = 20.181437718275121344730818369313
absolute error = 2.71e-28
relative error = 1.3428181073273999772915085103108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.025
y[1] (analytic) = 20.186452986097754327172351872613
y[1] (numeric) = 20.186452986097754327172351872884
absolute error = 2.71e-28
relative error = 1.3424844879218527971729267690660e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.026
y[1] (analytic) = 20.191468253920387309613885376184
y[1] (numeric) = 20.191468253920387309613885376455
absolute error = 2.71e-28
relative error = 1.3421510342487475182863959874542e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.027
y[1] (analytic) = 20.196483521743020292055418879755
y[1] (numeric) = 20.196483521743020292055418880026
absolute error = 2.71e-28
relative error = 1.3418177461846182042763919159401e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.028
y[1] (analytic) = 20.201498789565653274496952383326
y[1] (numeric) = 20.201498789565653274496952383597
absolute error = 2.71e-28
relative error = 1.3414846236061215264699677868646e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.029
y[1] (analytic) = 20.206514057388286256938485886897
y[1] (numeric) = 20.206514057388286256938485887168
absolute error = 2.71e-28
relative error = 1.3411516663900366117202854915588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 20.211529325210919239380019390467
y[1] (numeric) = 20.211529325210919239380019390739
absolute error = 2.72e-28
relative error = 1.3457665455365610708843454778950e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.031
y[1] (analytic) = 20.216544593033552221821552894038
y[1] (numeric) = 20.21654459303355222182155289431
absolute error = 2.72e-28
relative error = 1.3454326912707370666494448712272e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.032
y[1] (analytic) = 20.221559860856185204263086397609
y[1] (numeric) = 20.221559860856185204263086397881
absolute error = 2.72e-28
relative error = 1.3450990026072274592420417350984e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.033
y[1] (analytic) = 20.22657512867881818670461990118
y[1] (numeric) = 20.226575128678818186704619901452
absolute error = 2.72e-28
relative error = 1.3447654794228467928747612883503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.034
y[1] (analytic) = 20.231590396501451169146153404751
y[1] (numeric) = 20.231590396501451169146153405023
absolute error = 2.72e-28
relative error = 1.3444321215945317589647774605644e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.035
y[1] (analytic) = 20.236605664324084151587686908322
y[1] (numeric) = 20.236605664324084151587686908594
absolute error = 2.72e-28
relative error = 1.3440989289993410447742037858530e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.036
y[1] (analytic) = 20.241620932146717134029220411892
y[1] (numeric) = 20.241620932146717134029220412165
absolute error = 2.73e-28
relative error = 1.3487062173288465616220996794705e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.037
y[1] (analytic) = 20.246636199969350116470753915463
y[1] (numeric) = 20.246636199969350116470753915736
absolute error = 2.73e-28
relative error = 1.3483721310723866045842938583956e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.038
y[1] (analytic) = 20.251651467791983098912287419034
y[1] (numeric) = 20.251651467791983098912287419307
absolute error = 2.73e-28
relative error = 1.3480382102870789308337776885446e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.039
y[1] (analytic) = 20.256666735614616081353820922605
y[1] (numeric) = 20.256666735614616081353820922878
absolute error = 2.73e-28
relative error = 1.3477044548500185002987854187529e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 20.261682003437249063795354426176
y[1] (numeric) = 20.261682003437249063795354426449
absolute error = 2.73e-28
relative error = 1.3473708646384219610660381946393e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.041
y[1] (analytic) = 20.266697271259882046236887929747
y[1] (numeric) = 20.26669727125988204623688793002
absolute error = 2.73e-28
relative error = 1.3470374395296274988138565469792e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.042
y[1] (analytic) = 20.271712539082515028678421433317
y[1] (numeric) = 20.271712539082515028678421433591
absolute error = 2.74e-28
relative error = 1.3516371617432232384338635172611e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.043
y[1] (analytic) = 20.276727806905148011119954936888
y[1] (numeric) = 20.276727806905148011119954937162
absolute error = 2.74e-28
relative error = 1.3513028463433362180929201921269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.044
y[1] (analytic) = 20.281743074727780993561488440459
y[1] (numeric) = 20.281743074727780993561488440733
absolute error = 2.74e-28
relative error = 1.3509686962824204574059535946511e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.045
y[1] (analytic) = 20.28675834255041397600302194403
y[1] (numeric) = 20.286758342550413976003021944304
absolute error = 2.74e-28
relative error = 1.3506347114378512558095615171246e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.046
y[1] (analytic) = 20.291773610373046958444555447601
y[1] (numeric) = 20.291773610373046958444555447875
absolute error = 2.74e-28
relative error = 1.3503008916871251432895888128446e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.047
y[1] (analytic) = 20.296788878195679940886088951172
y[1] (numeric) = 20.296788878195679940886088951446
absolute error = 2.74e-28
relative error = 1.3499672369078597306028357639657e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.048
y[1] (analytic) = 20.301804146018312923327622454743
y[1] (numeric) = 20.301804146018312923327622455017
absolute error = 2.74e-28
relative error = 1.3496337469777935597207698460398e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.049
y[1] (analytic) = 20.306819413840945905769155958313
y[1] (numeric) = 20.306819413840945905769155958588
absolute error = 2.75e-28
relative error = 1.3542248758688545163725755414165e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 20.311834681663578888210689461884
y[1] (numeric) = 20.311834681663578888210689462159
absolute error = 2.75e-28
relative error = 1.3538904993562943053808786091840e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.051
y[1] (analytic) = 20.316849949486211870652222965455
y[1] (numeric) = 20.31684994948621187065222296573
absolute error = 2.75e-28
relative error = 1.3535562879271764840267979183400e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.052
y[1] (analytic) = 20.321865217308844853093756469026
y[1] (numeric) = 20.321865217308844853093756469301
absolute error = 2.75e-28
relative error = 1.3532222414592773782804931804529e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.053
y[1] (analytic) = 20.326880485131477835535289972597
y[1] (numeric) = 20.326880485131477835535289972872
absolute error = 2.75e-28
relative error = 1.3528883598304939394997676701691e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.054
y[1] (analytic) = 20.331895752954110817976823476168
y[1] (numeric) = 20.331895752954110817976823476443
absolute error = 2.75e-28
relative error = 1.3525546429188435956567731542169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=263.2MB, alloc=4.1MB, time=16.57
x[1] = 4.055
y[1] (analytic) = 20.336911020776743800418356979738
y[1] (numeric) = 20.336911020776743800418356980014
absolute error = 2.76e-28
relative error = 1.3571382582046548813404291979338e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.056
y[1] (analytic) = 20.341926288599376782859890483309
y[1] (numeric) = 20.341926288599376782859890483585
absolute error = 2.76e-28
relative error = 1.3568036580423756271783630171651e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.057
y[1] (analytic) = 20.34694155642200976530142398688
y[1] (numeric) = 20.346941556422009765301423987156
absolute error = 2.76e-28
relative error = 1.3564692228296464244110033023469e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.058
y[1] (analytic) = 20.351956824244642747742957490451
y[1] (numeric) = 20.351956824244642747742957490727
absolute error = 2.76e-28
relative error = 1.3561349524445232981358896987731e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.059
y[1] (analytic) = 20.356972092067275730184490994022
y[1] (numeric) = 20.356972092067275730184490994298
absolute error = 2.76e-28
relative error = 1.3558008467651824448966347370341e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 20.361987359889908712626024497593
y[1] (numeric) = 20.361987359889908712626024497869
absolute error = 2.76e-28
relative error = 1.3554669056699200846885321176407e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.061
y[1] (analytic) = 20.367002627712541695067558001163
y[1] (numeric) = 20.36700262771254169506755800144
absolute error = 2.77e-28
relative error = 1.3600430316785912708392815631735e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.062
y[1] (analytic) = 20.372017895535174677509091504734
y[1] (numeric) = 20.372017895535174677509091505011
absolute error = 2.77e-28
relative error = 1.3597082106466664576263718434386e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.063
y[1] (analytic) = 20.377033163357807659950625008305
y[1] (numeric) = 20.377033163357807659950625008582
absolute error = 2.77e-28
relative error = 1.3593735544294263231302787172158e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.064
y[1] (analytic) = 20.382048431180440642392158511876
y[1] (numeric) = 20.382048431180440642392158512153
absolute error = 2.77e-28
relative error = 1.3590390629052064839759651643818e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.065
y[1] (analytic) = 20.387063699003073624833692015447
y[1] (numeric) = 20.387063699003073624833692015724
absolute error = 2.77e-28
relative error = 1.3587047359524622757388247055468e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.066
y[1] (analytic) = 20.392078966825706607275225519018
y[1] (numeric) = 20.392078966825706607275225519295
absolute error = 2.77e-28
relative error = 1.3583705734497686057251161898789e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.067
y[1] (analytic) = 20.397094234648339589716759022588
y[1] (numeric) = 20.397094234648339589716759022866
absolute error = 2.78e-28
relative error = 1.3629392343923390110452924658161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.068
y[1] (analytic) = 20.402109502470972572158292526159
y[1] (numeric) = 20.402109502470972572158292526437
absolute error = 2.78e-28
relative error = 1.3626041952491747192530001127025e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.069
y[1] (analytic) = 20.40712477029360555459982602973
y[1] (numeric) = 20.407124770293605554599826030008
absolute error = 2.78e-28
relative error = 1.3622693207848716534581480605736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 20.412140038116238537041359533301
y[1] (numeric) = 20.412140038116238537041359533579
absolute error = 2.78e-28
relative error = 1.3619346108780449036661436015906e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.071
y[1] (analytic) = 20.417155305938871519482893036872
y[1] (numeric) = 20.41715530593887151948289303715
absolute error = 2.78e-28
relative error = 1.3616000654074288277870804368641e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.072
y[1] (analytic) = 20.422170573761504501924426540443
y[1] (numeric) = 20.422170573761504501924426540721
absolute error = 2.78e-28
relative error = 1.3612656842518769051869362619041e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.073
y[1] (analytic) = 20.427185841584137484365960044013
y[1] (numeric) = 20.427185841584137484365960044292
absolute error = 2.79e-28
relative error = 1.3658269042230607328662132307636e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.074
y[1] (analytic) = 20.432201109406770466807493547584
y[1] (numeric) = 20.432201109406770466807493547863
absolute error = 2.79e-28
relative error = 1.3654916497055783910073849997300e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.075
y[1] (analytic) = 20.437216377229403449249027051155
y[1] (numeric) = 20.437216377229403449249027051434
absolute error = 2.79e-28
relative error = 1.3651565597301905190095917764172e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.076
y[1] (analytic) = 20.442231645052036431690560554726
y[1] (numeric) = 20.442231645052036431690560555005
absolute error = 2.79e-28
relative error = 1.3648216341757915517576267146467e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.077
y[1] (analytic) = 20.447246912874669414132094058297
y[1] (numeric) = 20.447246912874669414132094058576
absolute error = 2.79e-28
relative error = 1.3644868729213947424488806693402e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.078
y[1] (analytic) = 20.452262180697302396573627561868
y[1] (numeric) = 20.452262180697302396573627562147
absolute error = 2.79e-28
relative error = 1.3641522758461320169112522042422e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.079
y[1] (analytic) = 20.457277448519935379015161065438
y[1] (numeric) = 20.457277448519935379015161065718
absolute error = 2.80e-28
relative error = 1.3687060788250576052971239321712e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 20.462292716342568361456694569009
y[1] (numeric) = 20.462292716342568361456694569289
absolute error = 2.80e-28
relative error = 1.3683706116488749931389628723839e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.081
y[1] (analytic) = 20.46730798416520134389822807258
y[1] (numeric) = 20.46730798416520134389822807286
absolute error = 2.80e-28
relative error = 1.3680353088770913923075149520525e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.082
y[1] (analytic) = 20.472323251987834326339761576151
y[1] (numeric) = 20.472323251987834326339761576431
absolute error = 2.80e-28
relative error = 1.3677001703888804439017561291833e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.083
y[1] (analytic) = 20.477338519810467308781295079722
y[1] (numeric) = 20.477338519810467308781295080002
absolute error = 2.80e-28
relative error = 1.3673651960635341591983758313314e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.084
y[1] (analytic) = 20.482353787633100291222828583293
y[1] (numeric) = 20.482353787633100291222828583573
absolute error = 2.80e-28
relative error = 1.3670303857804627747323625169750e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.085
y[1] (analytic) = 20.487369055455733273664362086863
y[1] (numeric) = 20.487369055455733273664362087144
absolute error = 2.81e-28
relative error = 1.3715767956314060169032681884339e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.086
y[1] (analytic) = 20.492384323278366256105895590434
y[1] (numeric) = 20.492384323278366256105895590715
absolute error = 2.81e-28
relative error = 1.3712411184910165391703011624455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.087
y[1] (analytic) = 20.497399591100999238547429094005
y[1] (numeric) = 20.497399591100999238547429094286
absolute error = 2.81e-28
relative error = 1.3709056056164163393809274650727e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.088
y[1] (analytic) = 20.502414858923632220988962597576
y[1] (numeric) = 20.502414858923632220988962597857
absolute error = 2.81e-28
relative error = 1.3705702568870581162059321305656e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.089
y[1] (analytic) = 20.507430126746265203430496101147
y[1] (numeric) = 20.507430126746265203430496101428
absolute error = 2.81e-28
relative error = 1.3702350721825124918194792246887e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 20.512445394568898185872029604718
y[1] (numeric) = 20.512445394568898185872029604999
absolute error = 2.81e-28
relative error = 1.3699000513824678677383497676656e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.091
y[1] (analytic) = 20.517460662391531168313563108288
y[1] (numeric) = 20.51746066239153116831356310857
absolute error = 2.82e-28
relative error = 1.3744390918555798548258940552869e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.092
y[1] (analytic) = 20.522475930214164150755096611859
y[1] (numeric) = 20.522475930214164150755096612141
absolute error = 2.82e-28
relative error = 1.3741032074245301041282337683721e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.093
y[1] (analytic) = 20.52749119803679713319663011543
y[1] (numeric) = 20.527491198036797133196630115712
absolute error = 2.82e-28
relative error = 1.3737674871197598793287888053209e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.094
y[1] (analytic) = 20.532506465859430115638163619001
y[1] (numeric) = 20.532506465859430115638163619283
absolute error = 2.82e-28
relative error = 1.3734319308210007782346684367803e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.095
y[1] (analytic) = 20.537521733682063098079697122572
y[1] (numeric) = 20.537521733682063098079697122854
absolute error = 2.82e-28
relative error = 1.3730965384081018769457222418018e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.096
y[1] (analytic) = 20.542537001504696080521230626143
y[1] (numeric) = 20.542537001504696080521230626425
absolute error = 2.82e-28
relative error = 1.3727613097610295864484210400826e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.097
y[1] (analytic) = 20.547552269327329062962764129713
y[1] (numeric) = 20.547552269327329062962764129996
absolute error = 2.83e-28
relative error = 1.3772930044930585289567035905796e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.098
y[1] (analytic) = 20.552567537149962045404297633284
y[1] (numeric) = 20.552567537149962045404297633567
absolute error = 2.83e-28
relative error = 1.3769569154241241564508576404599e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.099
y[1] (analytic) = 20.557582804972595027845831136855
y[1] (numeric) = 20.557582804972595027845831137138
absolute error = 2.83e-28
relative error = 1.3766209903410736260394278142485e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 20.562598072795228010287364640426
y[1] (numeric) = 20.562598072795228010287364640709
absolute error = 2.83e-28
relative error = 1.3762852291239172666184425879523e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.101
y[1] (analytic) = 20.567613340617860992728898143997
y[1] (numeric) = 20.56761334061786099272889814428
absolute error = 2.83e-28
relative error = 1.3759496316527824416326785200206e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.102
y[1] (analytic) = 20.572628608440493975170431647568
y[1] (numeric) = 20.572628608440493975170431647851
absolute error = 2.83e-28
relative error = 1.3756141978079134064201888373000e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.103
y[1] (analytic) = 20.577643876263126957611965151138
y[1] (numeric) = 20.577643876263126957611965151422
absolute error = 2.84e-28
relative error = 1.3801385703229208871992436366149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.104
y[1] (analytic) = 20.582659144085759940053498654709
y[1] (numeric) = 20.582659144085759940053498654993
absolute error = 2.84e-28
relative error = 1.3798022792482807992637662380680e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.105
y[1] (analytic) = 20.58767441190839292249503215828
y[1] (numeric) = 20.587674411908392922495032158564
absolute error = 2.84e-28
relative error = 1.3794661520182568575343475374009e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.106
y[1] (analytic) = 20.592689679731025904936565661851
y[1] (numeric) = 20.592689679731025904936565662135
absolute error = 2.84e-28
relative error = 1.3791301885131379445149772627937e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.107
y[1] (analytic) = 20.597704947553658887378099165422
y[1] (numeric) = 20.597704947553658887378099165706
absolute error = 2.84e-28
relative error = 1.3787943886133295349838073145923e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.108
y[1] (analytic) = 20.602720215376291869819632668993
y[1] (numeric) = 20.602720215376291869819632669277
absolute error = 2.84e-28
relative error = 1.3784587521993535540843467967455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.109
y[1] (analytic) = 20.607735483198924852261166172563
y[1] (numeric) = 20.607735483198924852261166172848
absolute error = 2.85e-28
relative error = 1.3829758259094251660309999200431e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 20.612750751021557834702699676134
y[1] (numeric) = 20.612750751021557834702699676419
absolute error = 2.85e-28
relative error = 1.3826393354408340650173670733472e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.111
y[1] (analytic) = 20.617766018844190817144233179705
y[1] (numeric) = 20.61776601884419081714423317999
absolute error = 2.85e-28
relative error = 1.3823030086747331567067328317823e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.112
y[1] (analytic) = 20.622781286666823799585766683276
y[1] (numeric) = 20.622781286666823799585766683561
absolute error = 2.85e-28
relative error = 1.3819668454916896904721251632921e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=267.0MB, alloc=4.1MB, time=16.81
TOP MAIN SOLVE Loop
x[1] = 4.113
y[1] (analytic) = 20.627796554489456782027300186847
y[1] (numeric) = 20.627796554489456782027300187132
absolute error = 2.85e-28
relative error = 1.3816308457723870671581275641762e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.114
y[1] (analytic) = 20.632811822312089764468833690418
y[1] (numeric) = 20.632811822312089764468833690703
absolute error = 2.85e-28
relative error = 1.3812950093976246979147736197027e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.115
y[1] (analytic) = 20.637827090134722746910367193988
y[1] (numeric) = 20.637827090134722746910367194274
absolute error = 2.86e-28
relative error = 1.3858048076035751188977547270676e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.116
y[1] (analytic) = 20.642842357957355729351900697559
y[1] (numeric) = 20.642842357957355729351900697845
absolute error = 2.86e-28
relative error = 1.3854681203325344057979253405936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.117
y[1] (analytic) = 20.64785762577998871179343420113
y[1] (numeric) = 20.647857625779988711793434201416
absolute error = 2.86e-28
relative error = 1.3851315966210132655487638333454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.118
y[1] (analytic) = 20.652872893602621694234967704701
y[1] (numeric) = 20.652872893602621694234967704987
absolute error = 2.86e-28
relative error = 1.3847952363498571185683003161445e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.119
y[1] (analytic) = 20.657888161425254676676501208272
y[1] (numeric) = 20.657888161425254676676501208558
absolute error = 2.86e-28
relative error = 1.3844590394000270974178831517075e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 20.662903429247887659118034711843
y[1] (numeric) = 20.662903429247887659118034712129
absolute error = 2.86e-28
relative error = 1.3841230056525999063748205587095e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.121
y[1] (analytic) = 20.667918697070520641559568215414
y[1] (numeric) = 20.6679186970705206415595682157
absolute error = 2.86e-28
relative error = 1.3837871349887676812094784522890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.122
y[1] (analytic) = 20.672933964893153624001101718984
y[1] (numeric) = 20.672933964893153624001101719271
absolute error = 2.87e-28
relative error = 1.3882886700425995199677687366107e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.123
y[1] (analytic) = 20.677949232715786606442635222555
y[1] (numeric) = 20.677949232715786606442635222842
absolute error = 2.87e-28
relative error = 1.3879519519562442933075776697330e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.124
y[1] (analytic) = 20.682964500538419588884168726126
y[1] (numeric) = 20.682964500538419588884168726413
absolute error = 2.87e-28
relative error = 1.3876153971667301700550782571070e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.125
y[1] (analytic) = 20.687979768361052571325702229697
y[1] (numeric) = 20.687979768361052571325702229984
absolute error = 2.87e-28
relative error = 1.3872790055552958112259739957113e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.126
y[1] (analytic) = 20.692995036183685553767235733268
y[1] (numeric) = 20.692995036183685553767235733555
absolute error = 2.87e-28
relative error = 1.3869427770032950124350806428282e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.127
y[1] (analytic) = 20.698010304006318536208769236839
y[1] (numeric) = 20.698010304006318536208769237126
absolute error = 2.87e-28
relative error = 1.3866067113921965644068676356455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.128
y[1] (analytic) = 20.703025571828951518650302740409
y[1] (numeric) = 20.703025571828951518650302740697
absolute error = 2.88e-28
relative error = 1.3911010204802516541545602622906e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.129
y[1] (analytic) = 20.70804083965158450109183624398
y[1] (numeric) = 20.708040839651584501091836244268
absolute error = 2.88e-28
relative error = 1.3907641105697454173770948807788e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 20.713056107474217483533369747551
y[1] (numeric) = 20.713056107474217483533369747839
absolute error = 2.88e-28
relative error = 1.3904273638117382150968582960619e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.131
y[1] (analytic) = 20.718071375296850465974903251122
y[1] (numeric) = 20.71807137529685046597490325141
absolute error = 2.88e-28
relative error = 1.3900907800877460247760892671836e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.132
y[1] (analytic) = 20.723086643119483448416436754693
y[1] (numeric) = 20.723086643119483448416436754981
absolute error = 2.88e-28
relative error = 1.3897543592793995228339846957249e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.133
y[1] (analytic) = 20.728101910942116430857970258264
y[1] (numeric) = 20.728101910942116430857970258552
absolute error = 2.88e-28
relative error = 1.3894181012684439458867710531661e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.134
y[1] (analytic) = 20.733117178764749413299503761834
y[1] (numeric) = 20.733117178764749413299503762123
absolute error = 2.89e-28
relative error = 1.3939052073462415179953814206971e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.135
y[1] (analytic) = 20.738132446587382395741037265405
y[1] (numeric) = 20.738132446587382395741037265694
absolute error = 2.89e-28
relative error = 1.3935681081425302141216219572338e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.136
y[1] (analytic) = 20.743147714410015378182570768976
y[1] (numeric) = 20.743147714410015378182570769265
absolute error = 2.89e-28
relative error = 1.3932311719461708015940296888689e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.137
y[1] (analytic) = 20.748162982232648360624104272547
y[1] (numeric) = 20.748162982232648360624104272836
absolute error = 2.89e-28
relative error = 1.3928943986389563537328757053811e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.138
y[1] (analytic) = 20.753178250055281343065637776118
y[1] (numeric) = 20.753178250055281343065637776407
absolute error = 2.89e-28
relative error = 1.3925577881027942086498083115422e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.139
y[1] (analytic) = 20.758193517877914325507171279689
y[1] (numeric) = 20.758193517877914325507171279978
absolute error = 2.89e-28
relative error = 1.3922213402197058312135556398071e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 20.763208785700547307948704783259
y[1] (numeric) = 20.763208785700547307948704783549
absolute error = 2.90e-28
relative error = 1.3967012661343589474482581699488e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.141
y[1] (analytic) = 20.76822405352318029039023828683
y[1] (numeric) = 20.76822405352318029039023828712
absolute error = 2.90e-28
relative error = 1.3963639801488157552368483032088e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.142
y[1] (analytic) = 20.773239321345813272831771790401
y[1] (numeric) = 20.773239321345813272831771790691
absolute error = 2.90e-28
relative error = 1.3960268570246851864886018405572e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.143
y[1] (analytic) = 20.778254589168446255273305293972
y[1] (numeric) = 20.778254589168446255273305294262
absolute error = 2.90e-28
relative error = 1.3956898966440371813747981712739e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.144
y[1] (analytic) = 20.783269856991079237714838797543
y[1] (numeric) = 20.783269856991079237714838797833
absolute error = 2.90e-28
relative error = 1.3953530988890555121707984612905e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.145
y[1] (analytic) = 20.788285124813712220156372301114
y[1] (numeric) = 20.788285124813712220156372301404
absolute error = 2.90e-28
relative error = 1.3950164636420376459434954942310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.146
y[1] (analytic) = 20.793300392636345202597905804684
y[1] (numeric) = 20.793300392636345202597905804975
absolute error = 2.91e-28
relative error = 1.3994892321329304509114015566845e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.147
y[1] (analytic) = 20.798315660458978185039439308255
y[1] (numeric) = 20.798315660458978185039439308546
absolute error = 2.91e-28
relative error = 1.3991517618575186036842707629646e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.148
y[1] (analytic) = 20.803330928281611167480972811826
y[1] (numeric) = 20.803330928281611167480972812117
absolute error = 2.91e-28
relative error = 1.3988144542968007833844433109966e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.149
y[1] (analytic) = 20.808346196104244149922506315397
y[1] (numeric) = 20.808346196104244149922506315688
absolute error = 2.91e-28
relative error = 1.3984773093331235597682985909891e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 20.813361463926877132364039818968
y[1] (numeric) = 20.813361463926877132364039819259
absolute error = 2.91e-28
relative error = 1.3981403268489469034888363503648e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.151
y[1] (analytic) = 20.818376731749510114805573322539
y[1] (numeric) = 20.81837673174951011480557332283
absolute error = 2.91e-28
relative error = 1.3978035067268440495010047829472e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.152
y[1] (analytic) = 20.823391999572143097247106826109
y[1] (numeric) = 20.823391999572143097247106826401
absolute error = 2.92e-28
relative error = 1.4022691404263037708385242977939e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.153
y[1] (analytic) = 20.82840726739477607968864032968
y[1] (numeric) = 20.828407267394776079688640329972
absolute error = 2.92e-28
relative error = 1.4019314883337378416859024523092e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.154
y[1] (analytic) = 20.833422535217409062130173833251
y[1] (numeric) = 20.833422535217409062130173833543
absolute error = 2.92e-28
relative error = 1.4015939988083806587678268859991e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.155
y[1] (analytic) = 20.838437803040042044571707336822
y[1] (numeric) = 20.838437803040042044571707337114
absolute error = 2.92e-28
relative error = 1.4012566717328551760581354715861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.156
y[1] (analytic) = 20.843453070862675027013240840393
y[1] (numeric) = 20.843453070862675027013240840685
absolute error = 2.92e-28
relative error = 1.4009195069898973187010473735419e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.157
y[1] (analytic) = 20.848468338685308009454774343964
y[1] (numeric) = 20.848468338685308009454774344256
absolute error = 2.92e-28
relative error = 1.4005825044623558471305154881982e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.158
y[1] (analytic) = 20.853483606507940991896307847534
y[1] (numeric) = 20.853483606507940991896307847827
absolute error = 2.93e-28
relative error = 1.4050410258963195920068386038640e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.159
y[1] (analytic) = 20.858498874330573974337841351105
y[1] (numeric) = 20.858498874330573974337841351398
absolute error = 2.93e-28
relative error = 1.4047031944402252617370605710186e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.16
y[1] (analytic) = 20.863514142153206956779374854676
y[1] (numeric) = 20.863514142153206956779374854969
absolute error = 2.93e-28
relative error = 1.4043655254031002075876045468429e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.161
y[1] (analytic) = 20.868529409975839939220908358247
y[1] (numeric) = 20.86852940997583993922090835854
absolute error = 2.93e-28
relative error = 1.4040280186678435144350961102779e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.162
y[1] (analytic) = 20.873544677798472921662441861818
y[1] (numeric) = 20.873544677798472921662441862111
absolute error = 2.93e-28
relative error = 1.4036906741174668100827570674835e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.163
y[1] (analytic) = 20.878559945621105904103975365389
y[1] (numeric) = 20.878559945621105904103975365682
absolute error = 2.93e-28
relative error = 1.4033534916350941300899435298742e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.164
y[1] (analytic) = 20.883575213443738886545508868959
y[1] (numeric) = 20.883575213443738886545508869253
absolute error = 2.94e-28
relative error = 1.4078049232237705260824488341241e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.165
y[1] (analytic) = 20.88859048126637186898704237253
y[1] (numeric) = 20.888590481266371868987042372824
absolute error = 2.94e-28
relative error = 1.4074669148388428500857903830234e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.166
y[1] (analytic) = 20.893605749089004851428575876101
y[1] (numeric) = 20.893605749089004851428575876395
absolute error = 2.94e-28
relative error = 1.4071290687239031374477477065032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.167
y[1] (analytic) = 20.898621016911637833870109379672
y[1] (numeric) = 20.898621016911637833870109379966
absolute error = 2.94e-28
relative error = 1.4067913847621263428383290005501e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.168
y[1] (analytic) = 20.903636284734270816311642883243
y[1] (numeric) = 20.903636284734270816311642883537
absolute error = 2.94e-28
relative error = 1.4064538628367995370938860233427e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.169
y[1] (analytic) = 20.908651552556903798753176386814
y[1] (numeric) = 20.908651552556903798753176387108
absolute error = 2.94e-28
relative error = 1.4061165028313217727530143788180e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 20.913666820379536781194709890384
y[1] (numeric) = 20.913666820379536781194709890679
absolute error = 2.95e-28
relative error = 1.4105608668898475006355393227143e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=270.8MB, alloc=4.1MB, time=17.05
TOP MAIN SOLVE Loop
x[1] = 4.171
y[1] (analytic) = 20.918682088202169763636243393955
y[1] (numeric) = 20.91868208820216976363624339425
absolute error = 2.95e-28
relative error = 1.4102226839920076906377844583358e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.172
y[1] (analytic) = 20.923697356024802746077776897526
y[1] (numeric) = 20.923697356024802746077776897821
absolute error = 2.95e-28
relative error = 1.4098846632144448891779000421186e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.173
y[1] (analytic) = 20.928712623847435728519310401097
y[1] (numeric) = 20.928712623847435728519310401392
absolute error = 2.95e-28
relative error = 1.4095468044406096519650608616627e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.174
y[1] (analytic) = 20.933727891670068710960843904668
y[1] (numeric) = 20.933727891670068710960843904963
absolute error = 2.95e-28
relative error = 1.4092091075540642255989935255675e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.175
y[1] (analytic) = 20.938743159492701693402377408239
y[1] (numeric) = 20.938743159492701693402377408534
absolute error = 2.95e-28
relative error = 1.4088715724384824138084308923877e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.176
y[1] (analytic) = 20.943758427315334675843910911809
y[1] (numeric) = 20.943758427315334675843910912105
absolute error = 2.96e-28
relative error = 1.4133088911775736792847416202454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.177
y[1] (analytic) = 20.94877369513796765828544441538
y[1] (numeric) = 20.948773695137967658285444415676
absolute error = 2.96e-28
relative error = 1.4129705361641244157752169035540e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.178
y[1] (analytic) = 20.953788962960600640726977918951
y[1] (numeric) = 20.953788962960600640726977919247
absolute error = 2.96e-28
relative error = 1.4126323431205236200797225960136e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.179
y[1] (analytic) = 20.958804230783233623168511422522
y[1] (numeric) = 20.958804230783233623168511422818
absolute error = 2.96e-28
relative error = 1.4122943119304971726951617626573e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 20.963819498605866605610044926093
y[1] (numeric) = 20.963819498605866605610044926389
absolute error = 2.96e-28
relative error = 1.4119564424778822212184404320920e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.181
y[1] (analytic) = 20.968834766428499588051578429664
y[1] (numeric) = 20.96883476642849958805157842996
absolute error = 2.96e-28
relative error = 1.4116187346466270472836835699939e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.182
y[1] (analytic) = 20.973850034251132570493111933234
y[1] (numeric) = 20.973850034251132570493111933531
absolute error = 2.97e-28
relative error = 1.4160490301732260381960695926760e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.183
y[1] (analytic) = 20.978865302073765552934645436805
y[1] (numeric) = 20.978865302073765552934645437102
absolute error = 2.97e-28
relative error = 1.4157105054230053291264554235169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.184
y[1] (analytic) = 20.983880569896398535376178940376
y[1] (numeric) = 20.983880569896398535376178940673
absolute error = 2.97e-28
relative error = 1.4153721424914988746978879150504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.185
y[1] (analytic) = 20.988895837719031517817712443947
y[1] (numeric) = 20.988895837719031517817712444244
absolute error = 2.97e-28
relative error = 1.4150339412627075965916279657278e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.186
y[1] (analytic) = 20.993911105541664500259245947518
y[1] (numeric) = 20.993911105541664500259245947815
absolute error = 2.97e-28
relative error = 1.4146959016207432612842721062042e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.187
y[1] (analytic) = 20.998926373364297482700779451089
y[1] (numeric) = 20.998926373364297482700779451386
absolute error = 2.97e-28
relative error = 1.4143580234498283476799529583403e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.188
y[1] (analytic) = 21.003941641186930465142312954659
y[1] (numeric) = 21.003941641186930465142312954957
absolute error = 2.98e-28
relative error = 1.4187813177677447227265628144693e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.189
y[1] (analytic) = 21.00895690900956344758384645823
y[1] (numeric) = 21.008956909009563447583846458528
absolute error = 2.98e-28
relative error = 1.4184426256412783238908677648597e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 21.013972176832196430025379961801
y[1] (numeric) = 21.013972176832196430025379962099
absolute error = 2.98e-28
relative error = 1.4181040951816980665343305649158e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.191
y[1] (analytic) = 21.018987444654829412466913465372
y[1] (numeric) = 21.01898744465482941246691346567
absolute error = 2.98e-28
relative error = 1.4177657262732796227102946950602e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.192
y[1] (analytic) = 21.024002712477462394908446968943
y[1] (numeric) = 21.024002712477462394908446969241
absolute error = 2.98e-28
relative error = 1.4174275188004090884491519720890e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.193
y[1] (analytic) = 21.029017980300095377349980472514
y[1] (numeric) = 21.029017980300095377349980472812
absolute error = 2.98e-28
relative error = 1.4170894726475828520817660546141e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.194
y[1] (analytic) = 21.034033248122728359791513976085
y[1] (numeric) = 21.034033248122728359791513976383
absolute error = 2.98e-28
relative error = 1.4167515876994074627512744556502e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.195
y[1] (analytic) = 21.039048515945361342233047479655
y[1] (numeric) = 21.039048515945361342233047479954
absolute error = 2.99e-28
relative error = 1.4211669304977827189086357800771e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.196
y[1] (analytic) = 21.044063783767994324674580983226
y[1] (numeric) = 21.044063783767994324674580983525
absolute error = 2.99e-28
relative error = 1.4208282348518108927125183740284e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.197
y[1] (analytic) = 21.049079051590627307116114486797
y[1] (numeric) = 21.049079051590627307116114487096
absolute error = 2.99e-28
relative error = 1.4204897006047649525427036210206e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.198
y[1] (analytic) = 21.054094319413260289557647990368
y[1] (numeric) = 21.054094319413260289557647990667
absolute error = 2.99e-28
relative error = 1.4201513276413050275897396611299e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.199
y[1] (analytic) = 21.059109587235893271999181493939
y[1] (numeric) = 21.059109587235893271999181494238
absolute error = 2.99e-28
relative error = 1.4198131158462011207005780179622e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 21.06412485505852625444071499751
y[1] (numeric) = 21.064124855058526254440714997809
absolute error = 2.99e-28
relative error = 1.4194750651043329775766016898626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.201
y[1] (analytic) = 21.06914012288115923688224850108
y[1] (numeric) = 21.06914012288115923688224850138
absolute error = 3.00e-28
relative error = 1.4238834534789531332693666098190e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.202
y[1] (analytic) = 21.074155390703792219323782004651
y[1] (numeric) = 21.074155390703792219323782004951
absolute error = 3.00e-28
relative error = 1.4235445949702718022048094069133e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.203
y[1] (analytic) = 21.079170658526425201765315508222
y[1] (numeric) = 21.079170658526425201765315508522
absolute error = 3.00e-28
relative error = 1.4232058977076093535247701945871e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.204
y[1] (analytic) = 21.084185926349058184206849011793
y[1] (numeric) = 21.084185926349058184206849012093
absolute error = 3.00e-28
relative error = 1.4228673615758996462570430846454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.205
y[1] (analytic) = 21.089201194171691166648382515364
y[1] (numeric) = 21.089201194171691166648382515664
absolute error = 3.00e-28
relative error = 1.4225289864601859959249962254101e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.206
y[1] (analytic) = 21.094216461994324149089916018935
y[1] (numeric) = 21.094216461994324149089916019235
absolute error = 3.00e-28
relative error = 1.4221907722456210444281048806109e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.207
y[1] (analytic) = 21.099231729816957131531449522505
y[1] (numeric) = 21.099231729816957131531449522806
absolute error = 3.01e-28
relative error = 1.4265922278801915188750870354827e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.208
y[1] (analytic) = 21.104246997639590113972983026076
y[1] (numeric) = 21.104246997639590113972983026377
absolute error = 3.01e-28
relative error = 1.4262532088146306368601452372328e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.209
y[1] (analytic) = 21.109262265462223096414516529647
y[1] (numeric) = 21.109262265462223096414516529948
absolute error = 3.01e-28
relative error = 1.4259143508415219101704659439952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 21.114277533284856078856050033218
y[1] (numeric) = 21.114277533284856078856050033519
absolute error = 3.01e-28
relative error = 1.4255756538460726175552235530346e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.211
y[1] (analytic) = 21.119292801107489061297583536789
y[1] (numeric) = 21.11929280110748906129758353709
absolute error = 3.01e-28
relative error = 1.4252371177135990785816887101105e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.212
y[1] (analytic) = 21.12430806893012204373911704036
y[1] (numeric) = 21.124308068930122043739117040661
absolute error = 3.01e-28
relative error = 1.4248987423295265241945610537216e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.213
y[1] (analytic) = 21.12932333675275502618065054393
y[1] (numeric) = 21.129323336752755026180650544232
absolute error = 3.02e-28
relative error = 1.4292932868072274690126686894616e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.214
y[1] (analytic) = 21.134338604575388008622184047501
y[1] (numeric) = 21.134338604575388008622184047803
absolute error = 3.02e-28
relative error = 1.4289541094729115631111469360944e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.215
y[1] (analytic) = 21.139353872398020991063717551072
y[1] (numeric) = 21.139353872398020991063717551374
absolute error = 3.02e-28
relative error = 1.4286150930768325805338963674263e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.216
y[1] (analytic) = 21.144369140220653973505251054643
y[1] (numeric) = 21.144369140220653973505251054945
absolute error = 3.02e-28
relative error = 1.4282762375044709029768437354606e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.217
y[1] (analytic) = 21.149384408043286955946784558214
y[1] (numeric) = 21.149384408043286955946784558516
absolute error = 3.02e-28
relative error = 1.4279375426414155387598703316817e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.218
y[1] (analytic) = 21.154399675865919938388318061785
y[1] (numeric) = 21.154399675865919938388318062087
absolute error = 3.02e-28
relative error = 1.4275990083733639940612549048605e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.219
y[1] (analytic) = 21.159414943688552920829851565355
y[1] (numeric) = 21.159414943688552920829851565658
absolute error = 3.03e-28
relative error = 1.4319866631774669196476073048419e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 21.164430211511185903271385068926
y[1] (numeric) = 21.164430211511185903271385069229
absolute error = 3.03e-28
relative error = 1.4316473298449604108988756443431e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.221
y[1] (analytic) = 21.169445479333818885712918572497
y[1] (numeric) = 21.1694454793338188857129185728
absolute error = 3.03e-28
relative error = 1.4313081572958381743646660078484e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.222
y[1] (analytic) = 21.174460747156451868154452076068
y[1] (numeric) = 21.174460747156451868154452076371
absolute error = 3.03e-28
relative error = 1.4309691454158533713863702555964e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.223
y[1] (analytic) = 21.179476014979084850595985579639
y[1] (numeric) = 21.179476014979084850595985579942
absolute error = 3.03e-28
relative error = 1.4306302940908673772183886382022e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.224
y[1] (analytic) = 21.18449128280171783303751908321
y[1] (numeric) = 21.184491282801717833037519083513
absolute error = 3.03e-28
relative error = 1.4302916032068496529340092848314e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.225
y[1] (analytic) = 21.18950655062435081547905258678
y[1] (numeric) = 21.189506550624350815479052587084
absolute error = 3.04e-28
relative error = 1.4346723897213293588251212424980e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.226
y[1] (analytic) = 21.194521818446983797920586090351
y[1] (numeric) = 21.194521818446983797920586090655
absolute error = 3.04e-28
relative error = 1.4343329026437805350298479057156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.227
y[1] (analytic) = 21.199537086269616780362119593922
y[1] (numeric) = 21.199537086269616780362119594226
absolute error = 3.04e-28
relative error = 1.4339935761941368680000324697313e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.228
memory used=274.6MB, alloc=4.1MB, time=17.29
y[1] (analytic) = 21.204552354092249762803653097493
y[1] (numeric) = 21.204552354092249762803653097797
absolute error = 3.04e-28
relative error = 1.4336544102584239690246303806892e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.229
y[1] (analytic) = 21.209567621914882745245186601064
y[1] (numeric) = 21.209567621914882745245186601368
absolute error = 3.04e-28
relative error = 1.4333154047227752520775921611620e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 21.214582889737515727686720104635
y[1] (numeric) = 21.214582889737515727686720104939
absolute error = 3.04e-28
relative error = 1.4329765594734318063915218084052e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.231
y[1] (analytic) = 21.219598157560148710128253608205
y[1] (numeric) = 21.21959815756014871012825360851
absolute error = 3.05e-28
relative error = 1.4373504989835736582554997116475e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.232
y[1] (analytic) = 21.224613425382781692569787111776
y[1] (numeric) = 21.224613425382781692569787112081
absolute error = 3.05e-28
relative error = 1.4370108603968573128731141965927e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.233
y[1] (analytic) = 21.229628693205414675011320615347
y[1] (numeric) = 21.229628693205414675011320615652
absolute error = 3.05e-28
relative error = 1.4366713822819513697328181620553e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.234
y[1] (analytic) = 21.234643961028047657452854118918
y[1] (numeric) = 21.234643961028047657452854119223
absolute error = 3.05e-28
relative error = 1.4363320645251535541046337458621e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.235
y[1] (analytic) = 21.239659228850680639894387622489
y[1] (numeric) = 21.239659228850680639894387622794
absolute error = 3.05e-28
relative error = 1.4359929070128689841981155324629e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.236
y[1] (analytic) = 21.24467449667331362233592112606
y[1] (numeric) = 21.244674496673313622335921126365
absolute error = 3.05e-28
relative error = 1.4356539096316100444001461945184e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.237
y[1] (analytic) = 21.24968976449594660477745462963
y[1] (numeric) = 21.249689764495946604777454629936
absolute error = 3.06e-28
relative error = 1.4400210233246126398682797522791e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.238
y[1] (analytic) = 21.254705032318579587218988133201
y[1] (numeric) = 21.254705032318579587218988133507
absolute error = 3.06e-28
relative error = 1.4396812354474713910150781761223e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.239
y[1] (analytic) = 21.259720300141212569660521636772
y[1] (numeric) = 21.259720300141212569660521637078
absolute error = 3.06e-28
relative error = 1.4393416078854408481061338311881e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 21.264735567963845552102055140343
y[1] (numeric) = 21.264735567963845552102055140649
absolute error = 3.06e-28
relative error = 1.4390021405250905082834672901902e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.241
y[1] (analytic) = 21.269750835786478534543588643914
y[1] (numeric) = 21.26975083578647853454358864422
absolute error = 3.06e-28
relative error = 1.4386628332530968533652207758562e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.242
y[1] (analytic) = 21.274766103609111516985122147485
y[1] (numeric) = 21.274766103609111516985122147791
absolute error = 3.06e-28
relative error = 1.4383236859562432237439654197092e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.243
y[1] (analytic) = 21.279781371431744499426655651055
y[1] (numeric) = 21.279781371431744499426655651362
absolute error = 3.07e-28
relative error = 1.4426839949218164888439272544975e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.244
y[1] (analytic) = 21.284796639254377481868189154626
y[1] (numeric) = 21.284796639254377481868189154933
absolute error = 3.07e-28
relative error = 1.4423440599560007922160186948239e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.245
y[1] (analytic) = 21.289811907077010464309722658197
y[1] (numeric) = 21.289811907077010464309722658504
absolute error = 3.07e-28
relative error = 1.4420042851480017343144365938357e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.246
y[1] (analytic) = 21.294827174899643446751256161768
y[1] (numeric) = 21.294827174899643446751256162075
absolute error = 3.07e-28
relative error = 1.4416646703846602360256201933190e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.247
y[1] (analytic) = 21.299842442722276429192789665339
y[1] (numeric) = 21.299842442722276429192789665646
absolute error = 3.07e-28
relative error = 1.4413252155529237961301585450512e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.248
y[1] (analytic) = 21.30485771054490941163432316891
y[1] (numeric) = 21.304857710544909411634323169217
absolute error = 3.07e-28
relative error = 1.4409859205398463658579998448287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.249
y[1] (analytic) = 21.30987297836754239407585667248
y[1] (numeric) = 21.309872978367542394075856672788
absolute error = 3.08e-28
relative error = 1.4453394457708051233720087953069e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 21.314888246190175376517390176051
y[1] (numeric) = 21.314888246190175376517390176359
absolute error = 3.08e-28
relative error = 1.4449993659012119927547447932374e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.251
y[1] (analytic) = 21.319903514012808358958923679622
y[1] (numeric) = 21.31990351401280835895892367993
absolute error = 3.08e-28
relative error = 1.4446594460315575086350659541893e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.252
y[1] (analytic) = 21.324918781835441341400457183193
y[1] (numeric) = 21.324918781835441341400457183501
absolute error = 3.08e-28
relative error = 1.4443196860489536616198648568341e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.253
y[1] (analytic) = 21.329934049658074323841990686764
y[1] (numeric) = 21.329934049658074323841990687072
absolute error = 3.08e-28
relative error = 1.4439800858406186149089267273122e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.254
y[1] (analytic) = 21.334949317480707306283524190335
y[1] (numeric) = 21.334949317480707306283524190643
absolute error = 3.08e-28
relative error = 1.4436406452938765795034474309494e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.255
y[1] (analytic) = 21.339964585303340288725057693905
y[1] (numeric) = 21.339964585303340288725057694214
absolute error = 3.09e-28
relative error = 1.4479874076867296301411392248378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.256
y[1] (analytic) = 21.344979853125973271166591197476
y[1] (numeric) = 21.344979853125973271166591197785
absolute error = 3.09e-28
relative error = 1.4476471850815400790062376413734e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.257
y[1] (analytic) = 21.349995120948606253608124701047
y[1] (numeric) = 21.349995120948606253608124701356
absolute error = 3.09e-28
relative error = 1.4473071223178375795749465355144e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.258
y[1] (analytic) = 21.355010388771239236049658204618
y[1] (numeric) = 21.355010388771239236049658204927
absolute error = 3.09e-28
relative error = 1.4469672192830048323744827152853e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.259
y[1] (analytic) = 21.360025656593872218491191708189
y[1] (numeric) = 21.360025656593872218491191708498
absolute error = 3.09e-28
relative error = 1.4466274758645303067035800426590e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 21.36504092441650520093272521176
y[1] (numeric) = 21.365040924416505200932725212069
absolute error = 3.09e-28
relative error = 1.4462878919500081164907388266866e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.261
y[1] (analytic) = 21.37005619223913818337425871533
y[1] (numeric) = 21.37005619223913818337425871564
absolute error = 3.10e-28
relative error = 1.4506279123055428733380496203030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.262
y[1] (analytic) = 21.375071460061771165815792218901
y[1] (numeric) = 21.375071460061771165815792219211
absolute error = 3.10e-28
relative error = 1.4502875491163580908712879943949e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.263
y[1] (analytic) = 21.380086727884404148257325722472
y[1] (numeric) = 21.380086727884404148257325722782
absolute error = 3.10e-28
relative error = 1.4499473456096453631933918442672e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.264
y[1] (analytic) = 21.385101995707037130698859226043
y[1] (numeric) = 21.385101995707037130698859226353
absolute error = 3.10e-28
relative error = 1.4496073016730577352939562458047e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.265
y[1] (analytic) = 21.390117263529670113140392729614
y[1] (numeric) = 21.390117263529670113140392729924
absolute error = 3.10e-28
relative error = 1.4492674171943536185916598902957e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.266
y[1] (analytic) = 21.395132531352303095581926233185
y[1] (numeric) = 21.395132531352303095581926233495
absolute error = 3.10e-28
relative error = 1.4489276920613966674386848176538e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.267
y[1] (analytic) = 21.400147799174936078023459736756
y[1] (numeric) = 21.400147799174936078023459737066
absolute error = 3.10e-28
relative error = 1.4485881261621556557987882428195e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.268
y[1] (analytic) = 21.405163066997569060464993240326
y[1] (numeric) = 21.405163066997569060464993240637
absolute error = 3.11e-28
relative error = 1.4529204894472356584668021233686e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.269
y[1] (analytic) = 21.410178334820202042906526743897
y[1] (numeric) = 21.410178334820202042906526744208
absolute error = 3.11e-28
relative error = 1.4525801473321156688536686489898e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 21.415193602642835025348060247468
y[1] (numeric) = 21.415193602642835025348060247779
absolute error = 3.11e-28
relative error = 1.4522399646278224333340307874794e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.271
y[1] (analytic) = 21.420208870465468007789593751039
y[1] (numeric) = 21.42020887046546800778959375135
absolute error = 3.11e-28
relative error = 1.4518999412223839359251490195592e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.272
y[1] (analytic) = 21.42522413828810099023112725461
y[1] (numeric) = 21.425224138288100990231127254921
absolute error = 3.11e-28
relative error = 1.4515600770039330033558781513430e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.273
y[1] (analytic) = 21.430239406110733972672660758181
y[1] (numeric) = 21.430239406110733972672660758492
absolute error = 3.11e-28
relative error = 1.4512203718607071823862184560115e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.274
y[1] (analytic) = 21.435254673933366955114194261751
y[1] (numeric) = 21.435254673933366955114194262063
absolute error = 3.12e-28
relative error = 1.4555460373391870372904055903050e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.275
y[1] (analytic) = 21.440269941755999937555727765322
y[1] (numeric) = 21.440269941755999937555727765634
absolute error = 3.12e-28
relative error = 1.4552055587339614964629692381201e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.276
y[1] (analytic) = 21.445285209578632919997261268893
y[1] (numeric) = 21.445285209578632919997261269205
absolute error = 3.12e-28
relative error = 1.4548652393797206261410648954545e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.277
y[1] (analytic) = 21.450300477401265902438794772464
y[1] (numeric) = 21.450300477401265902438794772776
absolute error = 3.12e-28
relative error = 1.4545250791647616079913943168023e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.278
y[1] (analytic) = 21.455315745223898884880328276035
y[1] (numeric) = 21.455315745223898884880328276347
absolute error = 3.12e-28
relative error = 1.4541850779774860676435702414594e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.279
y[1] (analytic) = 21.460331013046531867321861779606
y[1] (numeric) = 21.460331013046531867321861779918
absolute error = 3.12e-28
relative error = 1.4538452357063999526476264297647e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 21.465346280869164849763395283176
y[1] (numeric) = 21.465346280869164849763395283489
absolute error = 3.13e-28
relative error = 1.4581642238819086458930082998574e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.281
y[1] (analytic) = 21.470361548691797832204928786747
y[1] (numeric) = 21.47036154869179783220492878706
absolute error = 3.13e-28
relative error = 1.4578236108887103490824750113033e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.282
y[1] (analytic) = 21.475376816514430814646462290318
y[1] (numeric) = 21.475376816514430814646462290631
absolute error = 3.13e-28
relative error = 1.4574831569861207390056224949532e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.283
y[1] (analytic) = 21.480392084337063797087995793889
y[1] (numeric) = 21.480392084337063797087995794202
absolute error = 3.13e-28
relative error = 1.4571428620627058147144701198668e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.284
y[1] (analytic) = 21.48540735215969677952952929746
y[1] (numeric) = 21.485407352159696779529529297773
absolute error = 3.13e-28
relative error = 1.4568027260071356219472631940685e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.285
y[1] (analytic) = 21.490422619982329761971062801031
y[1] (numeric) = 21.490422619982329761971062801344
absolute error = 3.13e-28
relative error = 1.4564627487081841317204376950734e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=278.4MB, alloc=4.1MB, time=17.54
x[1] = 4.286
y[1] (analytic) = 21.495437887804962744412596304601
y[1] (numeric) = 21.495437887804962744412596304915
absolute error = 3.14e-28
relative error = 1.4607750799910062089278949028968e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.287
y[1] (analytic) = 21.500453155627595726854129808172
y[1] (numeric) = 21.500453155627595726854129808486
absolute error = 3.14e-28
relative error = 1.4604343346959301636260689418745e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.288
y[1] (analytic) = 21.505468423450228709295663311743
y[1] (numeric) = 21.505468423450228709295663312057
absolute error = 3.14e-28
relative error = 1.4600937483305626425991039071399e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.289
y[1] (analytic) = 21.510483691272861691737196815314
y[1] (numeric) = 21.510483691272861691737196815628
absolute error = 3.14e-28
relative error = 1.4597533207837380768162642932655e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 21.515498959095494674178730318885
y[1] (numeric) = 21.515498959095494674178730319199
absolute error = 3.14e-28
relative error = 1.4594130519443945481270297328242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.291
y[1] (analytic) = 21.520514226918127656620263822456
y[1] (numeric) = 21.52051422691812765662026382277
absolute error = 3.14e-28
relative error = 1.4590729417015736684840264632523e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.292
y[1] (analytic) = 21.525529494740760639061797326026
y[1] (numeric) = 21.525529494740760639061797326341
absolute error = 3.15e-28
relative error = 1.4633786364092116072944640224236e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.293
y[1] (analytic) = 21.530544762563393621503330829597
y[1] (numeric) = 21.530544762563393621503330829912
absolute error = 3.15e-28
relative error = 1.4630377608824449612177590459450e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.294
y[1] (analytic) = 21.535560030386026603944864333168
y[1] (numeric) = 21.535560030386026603944864333483
absolute error = 3.15e-28
relative error = 1.4626970441239721049156589623293e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.295
y[1] (analytic) = 21.540575298208659586386397836739
y[1] (numeric) = 21.540575298208659586386397837054
absolute error = 3.15e-28
relative error = 1.4623564860228955107119533374253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.296
y[1] (analytic) = 21.54559056603129256882793134031
y[1] (numeric) = 21.545590566031292568827931340625
absolute error = 3.15e-28
relative error = 1.4620160864684209074738918957732e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.297
y[1] (analytic) = 21.550605833853925551269464843881
y[1] (numeric) = 21.550605833853925551269464844196
absolute error = 3.15e-28
relative error = 1.4616758453498571604626110272846e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.298
y[1] (analytic) = 21.555621101676558533710998347451
y[1] (numeric) = 21.555621101676558533710998347767
absolute error = 3.16e-28
relative error = 1.4659749237075895359587532840084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.299
y[1] (analytic) = 21.560636369499191516152531851022
y[1] (numeric) = 21.560636369499191516152531851338
absolute error = 3.16e-28
relative error = 1.4656339200035403176438059117628e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 21.565651637321824498594065354593
y[1] (numeric) = 21.565651637321824498594065354909
absolute error = 3.16e-28
relative error = 1.4652930749058650757094701429461e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.301
y[1] (analytic) = 21.570666905144457481035598858164
y[1] (numeric) = 21.57066690514445748103559885848
absolute error = 3.16e-28
relative error = 1.4649523883039339282842877504460e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.302
y[1] (analytic) = 21.575682172967090463477132361735
y[1] (numeric) = 21.575682172967090463477132362051
absolute error = 3.16e-28
relative error = 1.4646118600872198571712509564547e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.303
y[1] (analytic) = 21.580697440789723445918665865306
y[1] (numeric) = 21.580697440789723445918665865622
absolute error = 3.16e-28
relative error = 1.4642714901452985883222685602296e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.304
y[1] (analytic) = 21.585712708612356428360199368876
y[1] (numeric) = 21.585712708612356428360199369193
absolute error = 3.17e-28
relative error = 1.4685639722867340689111532632654e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.305
y[1] (analytic) = 21.590727976434989410801732872447
y[1] (numeric) = 21.590727976434989410801732872764
absolute error = 3.17e-28
relative error = 1.4682228424441587532157035180242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.306
y[1] (analytic) = 21.595743244257622393243266376018
y[1] (numeric) = 21.595743244257622393243266376335
absolute error = 3.17e-28
relative error = 1.4678818710455419025995363783312e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.307
y[1] (analytic) = 21.600758512080255375684799879589
y[1] (numeric) = 21.600758512080255375684799879906
absolute error = 3.17e-28
relative error = 1.4675410579805208805650345124435e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.308
y[1] (analytic) = 21.60577377990288835812633338316
y[1] (numeric) = 21.605773779902888358126333383477
absolute error = 3.17e-28
relative error = 1.4672004031388355228861661200311e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.309
y[1] (analytic) = 21.610789047725521340567866886731
y[1] (numeric) = 21.610789047725521340567866887048
absolute error = 3.17e-28
relative error = 1.4668599064103280187035515537466e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 21.615804315548154323009400390301
y[1] (numeric) = 21.615804315548154323009400390619
absolute error = 3.18e-28
relative error = 1.4711458123779552296140337994247e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.311
y[1] (analytic) = 21.620819583370787305450933893872
y[1] (numeric) = 21.62081958337078730545093389419
absolute error = 3.18e-28
relative error = 1.4708045584200851402543460161263e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.312
y[1] (analytic) = 21.625834851193420287892467397443
y[1] (numeric) = 21.625834851193420287892467397761
absolute error = 3.18e-28
relative error = 1.4704634627432715769101311863452e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.313
y[1] (analytic) = 21.630850119016053270334000901014
y[1] (numeric) = 21.630850119016053270334000901332
absolute error = 3.18e-28
relative error = 1.4701225252374187432498227858846e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.314
y[1] (analytic) = 21.635865386838686252775534404585
y[1] (numeric) = 21.635865386838686252775534404903
absolute error = 3.18e-28
relative error = 1.4697817457925329252750314500511e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.315
y[1] (analytic) = 21.640880654661319235217067908156
y[1] (numeric) = 21.640880654661319235217067908474
absolute error = 3.18e-28
relative error = 1.4694411242987223730327892643152e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.316
y[1] (analytic) = 21.645895922483952217658601411726
y[1] (numeric) = 21.645895922483952217658601412045
absolute error = 3.19e-28
relative error = 1.4737204740444556641981852886809e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.317
y[1] (analytic) = 21.650911190306585200100134915297
y[1] (numeric) = 21.650911190306585200100134915616
absolute error = 3.19e-28
relative error = 1.4733790979791222253137289103421e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.318
y[1] (analytic) = 21.655926458129218182541668418868
y[1] (numeric) = 21.655926458129218182541668419187
absolute error = 3.19e-28
relative error = 1.4730378800314661062249577827574e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.319
y[1] (analytic) = 21.660941725951851164983201922439
y[1] (numeric) = 21.660941725951851164983201922758
absolute error = 3.19e-28
relative error = 1.4726968200916579408843175980427e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 21.66595699377448414742473542601
y[1] (numeric) = 21.665956993774484147424735426329
absolute error = 3.19e-28
relative error = 1.4723559180499700571017054874876e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.321
y[1] (analytic) = 21.670972261597117129866268929581
y[1] (numeric) = 21.6709722615971171298662689299
absolute error = 3.19e-28
relative error = 1.4720151737967763588704854677034e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.322
y[1] (analytic) = 21.675987529419750112307802433151
y[1] (numeric) = 21.675987529419750112307802433471
absolute error = 3.20e-28
relative error = 1.4762879871824975135868231689896e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.323
y[1] (analytic) = 21.681002797242383094749335936722
y[1] (numeric) = 21.681002797242383094749335937042
absolute error = 3.20e-28
relative error = 1.4759464910022563621841891594663e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.324
y[1] (analytic) = 21.686018065065016077190869440293
y[1] (numeric) = 21.686018065065016077190869440613
absolute error = 3.20e-28
relative error = 1.4756051527758451095564869880603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.325
y[1] (analytic) = 21.691033332887649059632402943864
y[1] (numeric) = 21.691033332887649059632402944184
absolute error = 3.20e-28
relative error = 1.4752639723937004054849132338434e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.326
y[1] (analytic) = 21.696048600710282042073936447435
y[1] (numeric) = 21.696048600710282042073936447755
absolute error = 3.20e-28
relative error = 1.4749229497463602065932153805762e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.327
y[1] (analytic) = 21.701063868532915024515469951006
y[1] (numeric) = 21.701063868532915024515469951326
absolute error = 3.20e-28
relative error = 1.4745820847244636592840882219488e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.328
y[1] (analytic) = 21.706079136355548006957003454576
y[1] (numeric) = 21.706079136355548006957003454897
absolute error = 3.21e-28
relative error = 1.4788483815225595796592263786504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.329
y[1] (analytic) = 21.711094404178180989398536958147
y[1] (numeric) = 21.711094404178180989398536958468
absolute error = 3.21e-28
relative error = 1.4785067672048135506502960884267e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 21.716109672000813971840070461718
y[1] (numeric) = 21.716109672000813971840070462039
absolute error = 3.21e-28
relative error = 1.4781653106765907299688526020321e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.331
y[1] (analytic) = 21.721124939823446954281603965289
y[1] (numeric) = 21.72112493982344695428160396561
absolute error = 3.21e-28
relative error = 1.4778240118285933642958050719924e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.332
y[1] (analytic) = 21.72614020764607993672313746886
y[1] (numeric) = 21.726140207646079936723137469181
absolute error = 3.21e-28
relative error = 1.4774828705516246215985992074790e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.333
y[1] (analytic) = 21.731155475468712919164670972431
y[1] (numeric) = 21.731155475468712919164670972752
absolute error = 3.21e-28
relative error = 1.4771418867365884746746207631661e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.334
y[1] (analytic) = 21.736170743291345901606204476001
y[1] (numeric) = 21.736170743291345901606204476323
absolute error = 3.22e-28
relative error = 1.4814016866304848795126935388152e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.335
y[1] (analytic) = 21.741186011113978884047737979572
y[1] (numeric) = 21.741186011113978884047737979894
absolute error = 3.22e-28
relative error = 1.4810599561376058749268774618743e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.336
y[1] (analytic) = 21.746201278936611866489271483143
y[1] (numeric) = 21.746201278936611866489271483465
absolute error = 3.22e-28
relative error = 1.4807183832694929584428076100611e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.337
y[1] (analytic) = 21.751216546759244848930804986714
y[1] (numeric) = 21.751216546759244848930804987036
absolute error = 3.22e-28
relative error = 1.4803769679171135503361802622147e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.338
y[1] (analytic) = 21.756231814581877831372338490285
y[1] (numeric) = 21.756231814581877831372338490607
absolute error = 3.22e-28
relative error = 1.4800357099715356080700815576821e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.339
y[1] (analytic) = 21.761247082404510813813871993856
y[1] (numeric) = 21.761247082404510813813871994178
absolute error = 3.22e-28
relative error = 1.4796946093239275104420405156084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 21.766262350227143796255405497427
y[1] (numeric) = 21.766262350227143796255405497749
absolute error = 3.22e-28
relative error = 1.4793536658655579418912474187154e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.341
y[1] (analytic) = 21.771277618049776778696939000997
y[1] (numeric) = 21.77127761804977677869693900132
absolute error = 3.23e-28
relative error = 1.4836060871880684346581192876414e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.342
y[1] (analytic) = 21.776292885872409761138472504568
y[1] (numeric) = 21.776292885872409761138472504891
absolute error = 3.23e-28
relative error = 1.4832643999270854617344301767967e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.343
y[1] (analytic) = 21.781308153695042743580006008139
y[1] (numeric) = 21.781308153695042743580006008462
absolute error = 3.23e-28
relative error = 1.4829228700169019283561814017157e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=282.2MB, alloc=4.1MB, time=17.78
TOP MAIN SOLVE Loop
x[1] = 4.344
y[1] (analytic) = 21.78632342151767572602153951171
y[1] (numeric) = 21.786323421517675726021539512033
absolute error = 3.23e-28
relative error = 1.4825814973488501553524161665864e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.345
y[1] (analytic) = 21.791338689340308708463073015281
y[1] (numeric) = 21.791338689340308708463073015604
absolute error = 3.23e-28
relative error = 1.4822402818143625028425537002649e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.346
y[1] (analytic) = 21.796353957162941690904606518852
y[1] (numeric) = 21.796353957162941690904606519175
absolute error = 3.23e-28
relative error = 1.4818992233049712551428660440983e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.347
y[1] (analytic) = 21.801369224985574673346140022422
y[1] (numeric) = 21.801369224985574673346140022746
absolute error = 3.24e-28
relative error = 1.4861451895813868603390333236893e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.348
y[1] (analytic) = 21.806384492808207655787673525993
y[1] (numeric) = 21.806384492808207655787673526317
absolute error = 3.24e-28
relative error = 1.4858033898597720059553306941300e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.349
y[1] (analytic) = 21.811399760630840638229207029564
y[1] (numeric) = 21.811399760630840638229207029888
absolute error = 3.24e-28
relative error = 1.4854617473235890277980634302316e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 21.816415028453473620670740533135
y[1] (numeric) = 21.816415028453473620670740533459
absolute error = 3.24e-28
relative error = 1.4851202618644341797456960593281e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.351
y[1] (analytic) = 21.821430296276106603112274036706
y[1] (numeric) = 21.82143029627610660311227403703
absolute error = 3.24e-28
relative error = 1.4847789333740033743722771450419e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.352
y[1] (analytic) = 21.826445564098739585553807540277
y[1] (numeric) = 21.826445564098739585553807540601
absolute error = 3.24e-28
relative error = 1.4844377617440920684498570445950e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.353
y[1] (analytic) = 21.831460831921372567995341043847
y[1] (numeric) = 21.831460831921372567995341044172
absolute error = 3.25e-28
relative error = 1.4886772923816155040056650329666e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.354
y[1] (analytic) = 21.836476099744005550436874547418
y[1] (numeric) = 21.836476099744005550436874547743
absolute error = 3.25e-28
relative error = 1.4883353821169435665908727350720e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.355
y[1] (analytic) = 21.841491367566638532878408050989
y[1] (numeric) = 21.841491367566638532878408051314
absolute error = 3.25e-28
relative error = 1.4879936288719109733494052556839e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.356
y[1] (analytic) = 21.84650663538927151531994155456
y[1] (numeric) = 21.846506635389271515319941554885
absolute error = 3.25e-28
relative error = 1.4876520325383774767990495611808e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.357
y[1] (analytic) = 21.851521903211904497761475058131
y[1] (numeric) = 21.851521903211904497761475058456
absolute error = 3.25e-28
relative error = 1.4873105930083021090054303163882e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.358
y[1] (analytic) = 21.856537171034537480203008561702
y[1] (numeric) = 21.856537171034537480203008562027
absolute error = 3.25e-28
relative error = 1.4869693101737430676770674365542e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.359
y[1] (analytic) = 21.861552438857170462644542065272
y[1] (numeric) = 21.861552438857170462644542065598
absolute error = 3.26e-28
relative error = 1.4912024244927863950400417340972e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 21.866567706679803445086075568843
y[1] (numeric) = 21.866567706679803445086075569169
absolute error = 3.26e-28
relative error = 1.4908604055880862146742068621399e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.361
y[1] (analytic) = 21.871582974502436427527609072414
y[1] (numeric) = 21.87158297450243642752760907274
absolute error = 3.26e-28
relative error = 1.4905185435368163026781797566911e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.362
y[1] (analytic) = 21.876598242325069409969142575985
y[1] (numeric) = 21.876598242325069409969142576311
absolute error = 3.26e-28
relative error = 1.4901768382310994717972356531246e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.363
y[1] (analytic) = 21.881613510147702392410676079556
y[1] (numeric) = 21.881613510147702392410676079882
absolute error = 3.26e-28
relative error = 1.4898352895631574366214856564129e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.364
y[1] (analytic) = 21.886628777970335374852209583127
y[1] (numeric) = 21.886628777970335374852209583453
absolute error = 3.26e-28
relative error = 1.4894938974253107002702891656576e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.365
y[1] (analytic) = 21.891644045792968357293743086697
y[1] (numeric) = 21.891644045792968357293743087024
absolute error = 3.27e-28
relative error = 1.4937206146600090499478634477333e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.366
y[1] (analytic) = 21.896659313615601339735276590268
y[1] (numeric) = 21.896659313615601339735276590595
absolute error = 3.27e-28
relative error = 1.4933784890038798678475547295822e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.367
y[1] (analytic) = 21.901674581438234322176810093839
y[1] (numeric) = 21.901674581438234322176810094166
absolute error = 3.27e-28
relative error = 1.4930365200345636599547570298502e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.368
y[1] (analytic) = 21.90668984926086730461834359741
y[1] (numeric) = 21.906689849260867304618343597737
absolute error = 3.27e-28
relative error = 1.4926947076444458569190531019588e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.369
y[1] (analytic) = 21.911705117083500287059877100981
y[1] (numeric) = 21.911705117083500287059877101308
absolute error = 3.27e-28
relative error = 1.4923530517260104149742329936726e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 21.916720384906133269501410604552
y[1] (numeric) = 21.916720384906133269501410604879
absolute error = 3.27e-28
relative error = 1.4920115521718397032087926657565e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.371
y[1] (analytic) = 21.921735652728766251942944108122
y[1] (numeric) = 21.92173565272876625194294410845
absolute error = 3.28e-28
relative error = 1.4962318914705612239911475588612e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.372
y[1] (analytic) = 21.926750920551399234384477611693
y[1] (numeric) = 21.926750920551399234384477612021
absolute error = 3.28e-28
relative error = 1.4958896609372879940680022826583e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.373
y[1] (analytic) = 21.931766188374032216826011115264
y[1] (numeric) = 21.931766188374032216826011115592
absolute error = 3.28e-28
relative error = 1.4955475869238104527933468968173e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.374
y[1] (analytic) = 21.936781456196665199267544618835
y[1] (numeric) = 21.936781456196665199267544619163
absolute error = 3.28e-28
relative error = 1.4952056693227762025755157704120e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.375
y[1] (analytic) = 21.941796724019298181709078122406
y[1] (numeric) = 21.941796724019298181709078122734
absolute error = 3.28e-28
relative error = 1.4948639080269309965863556525216e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.376
y[1] (analytic) = 21.946811991841931164150611625977
y[1] (numeric) = 21.946811991841931164150611626305
absolute error = 3.28e-28
relative error = 1.4945223029291186266145580392555e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.377
y[1] (analytic) = 21.951827259664564146592145129547
y[1] (numeric) = 21.951827259664564146592145129876
absolute error = 3.29e-28
relative error = 1.4987362833549706915942855860654e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.378
y[1] (analytic) = 21.956842527487197129033678633118
y[1] (numeric) = 21.956842527487197129033678633447
absolute error = 3.29e-28
relative error = 1.4983939498046383547528981293304e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.379
y[1] (analytic) = 21.961857795309830111475212136689
y[1] (numeric) = 21.961857795309830111475212137018
absolute error = 3.29e-28
relative error = 1.4980517726066925592848111464280e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 21.96687306313246309391674564026
y[1] (numeric) = 21.966873063132463093916745640589
absolute error = 3.29e-28
relative error = 1.4977097516540426294767552534722e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.381
y[1] (analytic) = 21.971888330955096076358279143831
y[1] (numeric) = 21.97188833095509607635827914416
absolute error = 3.29e-28
relative error = 1.4973678868396956669957060055257e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.382
y[1] (analytic) = 21.976903598777729058799812647402
y[1] (numeric) = 21.976903598777729058799812647731
absolute error = 3.29e-28
relative error = 1.4970261780567564393218137859900e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.383
y[1] (analytic) = 21.981918866600362041241346150972
y[1] (numeric) = 21.981918866600362041241346151302
absolute error = 3.30e-28
relative error = 1.5012338185880881414900912709638e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.384
y[1] (analytic) = 21.986934134422995023682879654543
y[1] (numeric) = 21.986934134422995023682879654873
absolute error = 3.30e-28
relative error = 1.5008913838666948732096418888309e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.385
y[1] (analytic) = 21.991949402245628006124413158114
y[1] (numeric) = 21.991949402245628006124413158444
absolute error = 3.30e-28
relative error = 1.5005491053298951708440296557889e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.386
y[1] (analytic) = 21.996964670068260988565946661685
y[1] (numeric) = 21.996964670068260988565946662015
absolute error = 3.30e-28
relative error = 1.5002069828708596270294277338428e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.387
y[1] (analytic) = 22.001979937890893971007480165256
y[1] (numeric) = 22.001979937890893971007480165586
absolute error = 3.30e-28
relative error = 1.4998650163828562398338431822736e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.388
y[1] (analytic) = 22.006995205713526953449013668827
y[1] (numeric) = 22.006995205713526953449013669157
absolute error = 3.30e-28
relative error = 1.4995232057592503017664243483670e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.389
y[1] (analytic) = 22.012010473536159935890547172397
y[1] (numeric) = 22.012010473536159935890547172728
absolute error = 3.31e-28
relative error = 1.5037245252901512716322515541264e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 22.017025741358792918332080675968
y[1] (numeric) = 22.017025741358792918332080676299
absolute error = 3.31e-28
relative error = 1.5033819912297207132560255287154e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.391
y[1] (analytic) = 22.022041009181425900773614179539
y[1] (numeric) = 22.02204100918142590077361417987
absolute error = 3.31e-28
relative error = 1.5030396131857148556579257734139e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.392
y[1] (analytic) = 22.02705627700405888321514768311
y[1] (numeric) = 22.027056277004058883215147683441
absolute error = 3.31e-28
relative error = 1.5026973910515651027308634041577e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.393
y[1] (analytic) = 22.032071544826691865656681186681
y[1] (numeric) = 22.032071544826691865656681187012
absolute error = 3.31e-28
relative error = 1.5023553247207998932833945074119e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.394
y[1] (analytic) = 22.037086812649324848098214690252
y[1] (numeric) = 22.037086812649324848098214690583
absolute error = 3.31e-28
relative error = 1.5020134140870445906222011996041e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.395
y[1] (analytic) = 22.042102080471957830539748193822
y[1] (numeric) = 22.042102080471957830539748194154
absolute error = 3.32e-28
relative error = 1.5062084314278401679719759047752e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.396
y[1] (analytic) = 22.047117348294590812981281697393
y[1] (numeric) = 22.047117348294590812981281697725
absolute error = 3.32e-28
relative error = 1.5058657998465326520101988401926e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.397
y[1] (analytic) = 22.052132616117223795422815200964
y[1] (numeric) = 22.052132616117223795422815201296
absolute error = 3.32e-28
relative error = 1.5055233241131129265946859453006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.398
y[1] (analytic) = 22.057147883939856777864348704535
y[1] (numeric) = 22.057147883939856777864348704867
absolute error = 3.32e-28
relative error = 1.5051810041212727463021450890147e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.399
y[1] (analytic) = 22.062163151762489760305882208106
y[1] (numeric) = 22.062163151762489760305882208438
absolute error = 3.32e-28
relative error = 1.5048388397648005315382664472577e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 22.067178419585122742747415711677
y[1] (numeric) = 22.067178419585122742747415712009
absolute error = 3.32e-28
relative error = 1.5044968309375812586901895685197e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.401
y[1] (analytic) = 22.072193687407755725188949215247
y[1] (numeric) = 22.07219368740775572518894921558
absolute error = 3.33e-28
relative error = 1.5086855648153240502794174351086e-27 %
Correct digits = 28
h = 0.001
memory used=286.1MB, alloc=4.1MB, time=18.03
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.402
y[1] (analytic) = 22.077208955230388707630482718818
y[1] (numeric) = 22.077208955230388707630482719151
absolute error = 3.33e-28
relative error = 1.5083428375175468299136111158367e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.403
y[1] (analytic) = 22.082224223053021690072016222389
y[1] (numeric) = 22.082224223053021690072016222722
absolute error = 3.33e-28
relative error = 1.5080002658987601965204896960965e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.404
y[1] (analytic) = 22.08723949087565467251354972596
y[1] (numeric) = 22.087239490875654672513549726293
absolute error = 3.33e-28
relative error = 1.5076578498529157913895813196896e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.405
y[1] (analytic) = 22.092254758698287654955083229531
y[1] (numeric) = 22.092254758698287654955083229864
absolute error = 3.33e-28
relative error = 1.5073155892740615539795042297191e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.406
y[1] (analytic) = 22.097270026520920637396616733102
y[1] (numeric) = 22.097270026520920637396616733435
absolute error = 3.33e-28
relative error = 1.5069734840563416126372483277151e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.407
y[1] (analytic) = 22.102285294343553619838150236672
y[1] (numeric) = 22.102285294343553619838150237006
absolute error = 3.34e-28
relative error = 1.5111559531152994672844561294166e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.408
y[1] (analytic) = 22.107300562166186602279683740243
y[1] (numeric) = 22.107300562166186602279683740577
absolute error = 3.34e-28
relative error = 1.5108131318918159601457799823818e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.409
y[1] (analytic) = 22.112315829988819584721217243814
y[1] (numeric) = 22.112315829988819584721217244148
absolute error = 3.34e-28
relative error = 1.5104704661780732030670442645360e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 22.117331097811452567162750747385
y[1] (numeric) = 22.117331097811452567162750747719
absolute error = 3.34e-28
relative error = 1.5101279558682822567624939143626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.411
y[1] (analytic) = 22.122346365634085549604284250956
y[1] (numeric) = 22.12234636563408554960428425129
absolute error = 3.34e-28
relative error = 1.5097856008567501138795280349896e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.412
y[1] (analytic) = 22.127361633456718532045817754527
y[1] (numeric) = 22.127361633456718532045817754861
absolute error = 3.34e-28
relative error = 1.5094434010378795902816405626335e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.413
y[1] (analytic) = 22.132376901279351514487351258098
y[1] (numeric) = 22.132376901279351514487351258432
absolute error = 3.34e-28
relative error = 1.5091013563061692164791747478674e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.414
y[1] (analytic) = 22.137392169101984496928884761668
y[1] (numeric) = 22.137392169101984496928884762003
absolute error = 3.35e-28
relative error = 1.5132767104680580786963027169835e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.415
y[1] (analytic) = 22.142407436924617479370418265239
y[1] (numeric) = 22.142407436924617479370418265574
absolute error = 3.35e-28
relative error = 1.5129339524362419840012412667645e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.416
y[1] (analytic) = 22.14742270474725046181195176881
y[1] (numeric) = 22.147422704747250461811951769145
absolute error = 3.35e-28
relative error = 1.5125913496390417480447192465501e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.417
y[1] (analytic) = 22.152437972569883444253485272381
y[1] (numeric) = 22.152437972569883444253485272716
absolute error = 3.35e-28
relative error = 1.5122489019710229475584062016675e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.418
y[1] (analytic) = 22.157453240392516426695018775952
y[1] (numeric) = 22.157453240392516426695018776287
absolute error = 3.35e-28
relative error = 1.5119066093268466182357356706123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.419
y[1] (analytic) = 22.162468508215149409136552279523
y[1] (numeric) = 22.162468508215149409136552279858
absolute error = 3.35e-28
relative error = 1.5115644716012691467222177399333e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 22.167483776037782391578085783093
y[1] (numeric) = 22.167483776037782391578085783429
absolute error = 3.36e-28
relative error = 1.5157336005956769154770050278714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.421
y[1] (analytic) = 22.172499043860415374019619286664
y[1] (numeric) = 22.172499043860415374019619287
absolute error = 3.36e-28
relative error = 1.5153907520092494834671708263269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.422
y[1] (analytic) = 22.177514311683048356461152790235
y[1] (numeric) = 22.177514311683048356461152790571
absolute error = 3.36e-28
relative error = 1.5150480584877639001375762603327e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.423
y[1] (analytic) = 22.182529579505681338902686293806
y[1] (numeric) = 22.182529579505681338902686294142
absolute error = 3.36e-28
relative error = 1.5147055199260438540376129828603e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.424
y[1] (analytic) = 22.187544847328314321344219797377
y[1] (numeric) = 22.187544847328314321344219797713
absolute error = 3.36e-28
relative error = 1.5143631362190081298391415513543e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.425
y[1] (analytic) = 22.192560115150947303785753300948
y[1] (numeric) = 22.192560115150947303785753301284
absolute error = 3.36e-28
relative error = 1.5140209072616705008832457001562e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.426
y[1] (analytic) = 22.197575382973580286227286804518
y[1] (numeric) = 22.197575382973580286227286804855
absolute error = 3.37e-28
relative error = 1.5181838294757739659853692394075e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.427
y[1] (analytic) = 22.202590650796213268668820308089
y[1] (numeric) = 22.202590650796213268668820308426
absolute error = 3.37e-28
relative error = 1.5178408920848826685003940035278e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.428
y[1] (analytic) = 22.20760591861884625111035381166
y[1] (numeric) = 22.207605918618846251110353811997
absolute error = 3.37e-28
relative error = 1.5174981095889285396231355586309e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.429
y[1] (analytic) = 22.212621186441479233551887315231
y[1] (numeric) = 22.212621186441479233551887315568
absolute error = 3.37e-28
relative error = 1.5171554818829929043692129721421e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 22.217636454264112215993420818802
y[1] (numeric) = 22.217636454264112215993420819139
absolute error = 3.37e-28
relative error = 1.5168130088622518224494908021710e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.431
y[1] (analytic) = 22.222651722086745198434954322373
y[1] (numeric) = 22.22265172208674519843495432271
absolute error = 3.37e-28
relative error = 1.5164706904219759813701747356392e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.432
y[1] (analytic) = 22.227666989909378180876487825943
y[1] (numeric) = 22.227666989909378180876487826281
absolute error = 3.38e-28
relative error = 1.5206274241621523421692523204070e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.433
y[1] (analytic) = 22.232682257732011163318021329514
y[1] (numeric) = 22.232682257732011163318021329852
absolute error = 3.38e-28
relative error = 1.5202843997037354343546416160712e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.434
y[1] (analytic) = 22.237697525554644145759554833085
y[1] (numeric) = 22.237697525554644145759554833423
absolute error = 3.38e-28
relative error = 1.5199415299699276455782873892746e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.435
y[1] (analytic) = 22.242712793377277128201088336656
y[1] (numeric) = 22.242712793377277128201088336994
absolute error = 3.38e-28
relative error = 1.5195988148560674589614715409343e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.436
y[1] (analytic) = 22.247728061199910110642621840227
y[1] (numeric) = 22.247728061199910110642621840565
absolute error = 3.38e-28
relative error = 1.5192562542575877323025532651135e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.437
y[1] (analytic) = 22.252743329022543093084155343798
y[1] (numeric) = 22.252743329022543093084155344136
absolute error = 3.38e-28
relative error = 1.5189138480700155917273216777200e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.438
y[1] (analytic) = 22.257758596845176075525688847368
y[1] (numeric) = 22.257758596845176075525688847707
absolute error = 3.39e-28
relative error = 1.5230644115623124802922506341753e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.439
y[1] (analytic) = 22.262773864667809057967222350939
y[1] (numeric) = 22.262773864667809057967222351278
absolute error = 3.39e-28
relative error = 1.5227213017602033763318333666299e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 22.26778913249044204040875585451
y[1] (numeric) = 22.267789132490442040408755854849
absolute error = 3.39e-28
relative error = 1.5223783465120591863822090798356e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.441
y[1] (analytic) = 22.272804400313075022850289358081
y[1] (numeric) = 22.27280440031307502285028935842
absolute error = 3.39e-28
relative error = 1.5220355457134750703753677807858e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.442
y[1] (analytic) = 22.277819668135708005291822861652
y[1] (numeric) = 22.277819668135708005291822861991
absolute error = 3.39e-28
relative error = 1.5216928992601402043081963787640e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.443
y[1] (analytic) = 22.282834935958340987733356365223
y[1] (numeric) = 22.282834935958340987733356365562
absolute error = 3.39e-28
relative error = 1.5213504070478376744400198772158e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.444
y[1] (analytic) = 22.287850203780973970174889868793
y[1] (numeric) = 22.287850203780973970174889869133
absolute error = 3.40e-28
relative error = 1.5254948184384397827587512027219e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.445
y[1] (analytic) = 22.292865471603606952616423372364
y[1] (numeric) = 22.292865471603606952616423372704
absolute error = 3.40e-28
relative error = 1.5251516250034705049673544083006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.446
y[1] (analytic) = 22.297880739426239935057956875935
y[1] (numeric) = 22.297880739426239935057956876275
absolute error = 3.40e-28
relative error = 1.5248085859515129092622335458606e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.447
y[1] (analytic) = 22.302896007248872917499490379506
y[1] (numeric) = 22.302896007248872917499490379846
absolute error = 3.40e-28
relative error = 1.5244657011784183482302429379123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.448
y[1] (analytic) = 22.307911275071505899941023883077
y[1] (numeric) = 22.307911275071505899941023883417
absolute error = 3.40e-28
relative error = 1.5241229705801318333138242681870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.449
y[1] (analytic) = 22.312926542894138882382557386648
y[1] (numeric) = 22.312926542894138882382557386988
absolute error = 3.40e-28
relative error = 1.5237803940526919295526838266792e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 22.317941810716771864824090890218
y[1] (numeric) = 22.317941810716771864824090890559
absolute error = 3.41e-28
relative error = 1.5279186714083842700275892978252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.451
y[1] (analytic) = 22.322957078539404847265624393789
y[1] (numeric) = 22.32295707853940484726562439413
absolute error = 3.41e-28
relative error = 1.5275753960384879805937480061385e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.452
y[1] (analytic) = 22.32797234636203782970715789736
y[1] (numeric) = 22.327972346362037829707157897701
absolute error = 3.41e-28
relative error = 1.5272322748803481584956811265324e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.453
y[1] (analytic) = 22.332987614184670812148691400931
y[1] (numeric) = 22.332987614184670812148691401272
absolute error = 3.41e-28
relative error = 1.5268893078300718620307146587294e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.454
y[1] (analytic) = 22.338002882007303794590224904502
y[1] (numeric) = 22.338002882007303794590224904843
absolute error = 3.41e-28
relative error = 1.5265464947838594525421581444369e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.455
y[1] (analytic) = 22.343018149829936777031758408073
y[1] (numeric) = 22.343018149829936777031758408414
absolute error = 3.41e-28
relative error = 1.5262038356380044897020813412620e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.456
y[1] (analytic) = 22.348033417652569759473291911643
y[1] (numeric) = 22.348033417652569759473291911985
absolute error = 3.42e-28
relative error = 1.5303359969466323179231719941087e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.457
y[1] (analytic) = 22.353048685475202741914825415214
y[1] (numeric) = 22.353048685475202741914825415556
absolute error = 3.42e-28
relative error = 1.5299926413269449424872457719875e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.458
y[1] (analytic) = 22.358063953297835724356358918785
y[1] (numeric) = 22.358063953297835724356358919127
absolute error = 3.42e-28
relative error = 1.5296494397474637973678004499211e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=289.9MB, alloc=4.1MB, time=18.27
x[1] = 4.459
y[1] (analytic) = 22.363079221120468706797892422356
y[1] (numeric) = 22.363079221120468706797892422698
absolute error = 3.42e-28
relative error = 1.5293063921045511569108890795578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 22.368094488943101689239425925927
y[1] (numeric) = 22.368094488943101689239425926269
absolute error = 3.42e-28
relative error = 1.5289634982946622440954382075669e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.461
y[1] (analytic) = 22.373109756765734671680959429498
y[1] (numeric) = 22.37310975676573467168095942984
absolute error = 3.42e-28
relative error = 1.5286207582143451263541032068478e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.462
y[1] (analytic) = 22.378125024588367654122492933068
y[1] (numeric) = 22.378125024588367654122492933411
absolute error = 3.43e-28
relative error = 1.5327468213852705548427916710387e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.463
y[1] (analytic) = 22.383140292411000636564026436639
y[1] (numeric) = 22.383140292411000636564026436982
absolute error = 3.43e-28
relative error = 1.5324033871882315069927260668104e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.464
y[1] (analytic) = 22.38815556023363361900555994021
y[1] (numeric) = 22.388155560233633619005559940553
absolute error = 3.43e-28
relative error = 1.5320601068595603081784355815803e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.465
y[1] (analytic) = 22.393170828056266601447093443781
y[1] (numeric) = 22.393170828056266601447093444124
absolute error = 3.43e-28
relative error = 1.5317169802958739564856744537905e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.466
y[1] (analytic) = 22.398186095878899583888626947352
y[1] (numeric) = 22.398186095878899583888626947695
absolute error = 3.43e-28
relative error = 1.5313740073938820456131966941725e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.467
y[1] (analytic) = 22.403201363701532566330160450923
y[1] (numeric) = 22.403201363701532566330160451266
absolute error = 3.43e-28
relative error = 1.5310311880503866612286851211494e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.468
y[1] (analytic) = 22.408216631524165548771693954493
y[1] (numeric) = 22.408216631524165548771693954837
absolute error = 3.44e-28
relative error = 1.5351511709149419925585090569832e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.469
y[1] (analytic) = 22.413231899346798531213227458064
y[1] (numeric) = 22.413231899346798531213227458408
absolute error = 3.44e-28
relative error = 1.5348076598003940082236335794587e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 22.418247167169431513654760961635
y[1] (numeric) = 22.418247167169431513654760961979
absolute error = 3.44e-28
relative error = 1.5344643023820941437922636390606e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.471
y[1] (analytic) = 22.423262434992064496096294465206
y[1] (numeric) = 22.42326243499206449609629446555
absolute error = 3.44e-28
relative error = 1.5341210985569136262025091627378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.472
y[1] (analytic) = 22.428277702814697478537827968777
y[1] (numeric) = 22.428277702814697478537827969121
absolute error = 3.44e-28
relative error = 1.5337780482218159263755408020127e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.473
y[1] (analytic) = 22.433292970637330460979361472348
y[1] (numeric) = 22.433292970637330460979361472692
absolute error = 3.44e-28
relative error = 1.5334351512738566561036035024817e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.474
y[1] (analytic) = 22.438308238459963443420894975918
y[1] (numeric) = 22.438308238459963443420894976263
absolute error = 3.45e-28
relative error = 1.5375490715857944635213009604441e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.475
y[1] (analytic) = 22.443323506282596425862428479489
y[1] (numeric) = 22.443323506282596425862428479834
absolute error = 3.45e-28
relative error = 1.5372054852010825541439777646988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.476
y[1] (analytic) = 22.44833877410522940830396198306
y[1] (numeric) = 22.448338774105229408303961983405
absolute error = 3.45e-28
relative error = 1.5368620523402244034392985918291e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.477
y[1] (analytic) = 22.453354041927862390745495486631
y[1] (numeric) = 22.453354041927862390745495486976
absolute error = 3.45e-28
relative error = 1.5365187729003449697999331018599e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.478
y[1] (analytic) = 22.458369309750495373187028990202
y[1] (numeric) = 22.458369309750495373187028990547
absolute error = 3.45e-28
relative error = 1.5361756467786611053582627282329e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.479
y[1] (analytic) = 22.463384577573128355628562493773
y[1] (numeric) = 22.463384577573128355628562494118
absolute error = 3.45e-28
relative error = 1.5358326738724814534035053576751e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 22.468399845395761338070095997343
y[1] (numeric) = 22.468399845395761338070095997689
absolute error = 3.46e-28
relative error = 1.5399405493084214367940139570208e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.481
y[1] (analytic) = 22.473415113218394320511629500914
y[1] (numeric) = 22.47341511321839432051162950126
absolute error = 3.46e-28
relative error = 1.5395968892884909700596256477244e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.482
y[1] (analytic) = 22.478430381041027302953163004485
y[1] (numeric) = 22.478430381041027302953163004831
absolute error = 3.46e-28
relative error = 1.5392533826197519046937042676156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.483
y[1] (analytic) = 22.483445648863660285394696508056
y[1] (numeric) = 22.483445648863660285394696508402
absolute error = 3.46e-28
relative error = 1.5389100291995824307020259931860e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.484
y[1] (analytic) = 22.488460916686293267836230011627
y[1] (numeric) = 22.488460916686293267836230011973
absolute error = 3.46e-28
relative error = 1.5385668289254522829699336591108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.485
y[1] (analytic) = 22.493476184508926250277763515198
y[1] (numeric) = 22.493476184508926250277763515544
absolute error = 3.46e-28
relative error = 1.5382237816949226392056148333228e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.486
y[1] (analytic) = 22.498491452331559232719297018769
y[1] (numeric) = 22.498491452331559232719297019115
absolute error = 3.46e-28
relative error = 1.5378808874056460180198801889106e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.487
y[1] (analytic) = 22.503506720154192215160830522339
y[1] (numeric) = 22.503506720154192215160830522686
absolute error = 3.47e-28
relative error = 1.5419818978222892007755882678581e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.488
y[1] (analytic) = 22.50852198797682519760236402591
y[1] (numeric) = 22.508521987976825197602364026257
absolute error = 3.47e-28
relative error = 1.5416383189680507227896757036273e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.489
y[1] (analytic) = 22.513537255799458180043897529481
y[1] (numeric) = 22.513537255799458180043897529828
absolute error = 3.47e-28
relative error = 1.5412948931897107694096824588726e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 22.518552523622091162485431033052
y[1] (numeric) = 22.518552523622091162485431033399
absolute error = 3.47e-28
relative error = 1.5409516203849914574343128191268e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.491
y[1] (analytic) = 22.523567791444724144926964536623
y[1] (numeric) = 22.52356779144472414492696453697
absolute error = 3.47e-28
relative error = 1.5406085004517059995279591533910e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.492
y[1] (analytic) = 22.528583059267357127368498040194
y[1] (numeric) = 22.528583059267357127368498040541
absolute error = 3.47e-28
relative error = 1.5402655332877586028228104536685e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.493
y[1] (analytic) = 22.533598327089990109810031543764
y[1] (numeric) = 22.533598327089990109810031544112
absolute error = 3.48e-28
relative error = 1.5443605364245482419147443998009e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.494
y[1] (analytic) = 22.538613594912623092251565047335
y[1] (numeric) = 22.538613594912623092251565047683
absolute error = 3.48e-28
relative error = 1.5440168869949922676731078300635e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.495
y[1] (analytic) = 22.543628862735256074693098550906
y[1] (numeric) = 22.543628862735256074693098551254
absolute error = 3.48e-28
relative error = 1.5436733904684082871908668717031e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.496
y[1] (analytic) = 22.548644130557889057134632054477
y[1] (numeric) = 22.548644130557889057134632054825
absolute error = 3.48e-28
relative error = 1.5433300467427702960237870525590e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.497
y[1] (analytic) = 22.553659398380522039576165558048
y[1] (numeric) = 22.553659398380522039576165558396
absolute error = 3.48e-28
relative error = 1.5429868557161430400095500529920e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.498
y[1] (analytic) = 22.558674666203155022017699061619
y[1] (numeric) = 22.558674666203155022017699061967
absolute error = 3.48e-28
relative error = 1.5426438172866819143892722517353e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.499
y[1] (analytic) = 22.563689934025788004459232565189
y[1] (numeric) = 22.563689934025788004459232565538
absolute error = 3.49e-28
relative error = 1.5467328305806576701413266545303e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 22.56870520184842098690076606876
y[1] (numeric) = 22.568705201848420986900766069109
absolute error = 3.49e-28
relative error = 1.5463891121738619684368508041626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.501
y[1] (analytic) = 22.573720469671053969342299572331
y[1] (numeric) = 22.57372046967105396934229957268
absolute error = 3.49e-28
relative error = 1.5460455464968626656222680779230e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.502
y[1] (analytic) = 22.578735737493686951783833075902
y[1] (numeric) = 22.578735737493686951783833076251
absolute error = 3.49e-28
relative error = 1.5457021334478851306010281249959e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.503
y[1] (analytic) = 22.583751005316319934225366579473
y[1] (numeric) = 22.583751005316319934225366579822
absolute error = 3.49e-28
relative error = 1.5453588729252451383446210567913e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.504
y[1] (analytic) = 22.588766273138952916666900083044
y[1] (numeric) = 22.588766273138952916666900083393
absolute error = 3.49e-28
relative error = 1.5450157648273487695306013807130e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.505
y[1] (analytic) = 22.593781540961585899108433586614
y[1] (numeric) = 22.593781540961585899108433586964
absolute error = 3.50e-28
relative error = 1.5490988056402358412893919310006e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.506
y[1] (analytic) = 22.598796808784218881549967090185
y[1] (numeric) = 22.598796808784218881549967090535
absolute error = 3.50e-28
relative error = 1.5487550198422686340454306811269e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.507
y[1] (analytic) = 22.603812076606851863991500593756
y[1] (numeric) = 22.603812076606851863991500594106
absolute error = 3.50e-28
relative error = 1.5484113866006794907940338693494e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.508
y[1] (analytic) = 22.608827344429484846433034097327
y[1] (numeric) = 22.608827344429484846433034097677
absolute error = 3.50e-28
relative error = 1.5480679058139446461864930455097e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.509
y[1] (analytic) = 22.613842612252117828874567600898
y[1] (numeric) = 22.613842612252117828874567601248
absolute error = 3.50e-28
relative error = 1.5477245773806303980946353180656e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 22.618857880074750811316101104469
y[1] (numeric) = 22.618857880074750811316101104819
absolute error = 3.50e-28
relative error = 1.5473814011993930077624635585715e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.511
y[1] (analytic) = 22.623873147897383793757634608039
y[1] (numeric) = 22.62387314789738379375763460839
absolute error = 3.51e-28
relative error = 1.5514584868180328246622905518918e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.512
y[1] (analytic) = 22.62888841572001677619916811161
y[1] (numeric) = 22.628888415720016776199168111961
absolute error = 3.51e-28
relative error = 1.5511146352030465585220728456525e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.513
y[1] (analytic) = 22.633903683542649758640701615181
y[1] (numeric) = 22.633903683542649758640701615532
absolute error = 3.51e-28
relative error = 1.5507709359707835302573881408340e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.514
y[1] (analytic) = 22.638918951365282741082235118752
y[1] (numeric) = 22.638918951365282741082235119103
absolute error = 3.51e-28
relative error = 1.5504273890199703305386780415560e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.515
y[1] (analytic) = 22.643934219187915723523768622323
y[1] (numeric) = 22.643934219187915723523768622674
absolute error = 3.51e-28
relative error = 1.5500839942494232717722242922666e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.516
y[1] (analytic) = 22.648949487010548705965302125894
y[1] (numeric) = 22.648949487010548705965302126245
absolute error = 3.51e-28
relative error = 1.5497407515580482887625315942391e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=293.7MB, alloc=4.1MB, time=18.51
x[1] = 4.517
y[1] (analytic) = 22.653964754833181688406835629464
y[1] (numeric) = 22.653964754833181688406835629816
absolute error = 3.52e-28
relative error = 1.5538118991948261410437181115807e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.518
y[1] (analytic) = 22.658980022655814670848369133035
y[1] (numeric) = 22.658980022655814670848369133387
absolute error = 3.52e-28
relative error = 1.5534679833251504380465858145219e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.519
y[1] (analytic) = 22.663995290478447653289902636606
y[1] (numeric) = 22.663995290478447653289902636958
absolute error = 3.52e-28
relative error = 1.5531242196643128300718023257380e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 22.669010558301080635731436140177
y[1] (numeric) = 22.669010558301080635731436140529
absolute error = 3.52e-28
relative error = 1.5527806081112897520120519269934e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.521
y[1] (analytic) = 22.674025826123713618172969643748
y[1] (numeric) = 22.6740258261237136181729696441
absolute error = 3.52e-28
relative error = 1.5524371485651470203703770648109e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.522
y[1] (analytic) = 22.679041093946346600614503147319
y[1] (numeric) = 22.679041093946346600614503147671
absolute error = 3.52e-28
relative error = 1.5520938409250397344304455351636e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.523
y[1] (analytic) = 22.684056361768979583056036650889
y[1] (numeric) = 22.684056361768979583056036651242
absolute error = 3.53e-28
relative error = 1.5561590677183093712441646562981e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.524
y[1] (analytic) = 22.68907162959161256549757015446
y[1] (numeric) = 22.689071629591612565497570154813
absolute error = 3.53e-28
relative error = 1.5558150891445431666970284572140e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.525
y[1] (analytic) = 22.694086897414245547939103658031
y[1] (numeric) = 22.694086897414245547939103658384
absolute error = 3.53e-28
relative error = 1.5554712626055056985938909923616e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.526
y[1] (analytic) = 22.699102165236878530380637161602
y[1] (numeric) = 22.699102165236878530380637161955
absolute error = 3.53e-28
relative error = 1.5551275880004227322442237605913e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.527
y[1] (analytic) = 22.704117433059511512822170665173
y[1] (numeric) = 22.704117433059511512822170665526
absolute error = 3.53e-28
relative error = 1.5547840652286090757979581931602e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.528
y[1] (analytic) = 22.709132700882144495263704168744
y[1] (numeric) = 22.709132700882144495263704169097
absolute error = 3.53e-28
relative error = 1.5544406941894684819207943331352e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.529
y[1] (analytic) = 22.714147968704777477705237672314
y[1] (numeric) = 22.714147968704777477705237672668
absolute error = 3.54e-28
relative error = 1.5585000172039737012983525658782e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 22.719163236527410460146771175885
y[1] (numeric) = 22.719163236527410460146771176239
absolute error = 3.54e-28
relative error = 1.5581559774650765768609798611175e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.531
y[1] (analytic) = 22.724178504350043442588304679456
y[1] (numeric) = 22.72417850435004344258830467981
absolute error = 3.54e-28
relative error = 1.5578120895865806429442151337149e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.532
y[1] (analytic) = 22.729193772172676425029838183027
y[1] (numeric) = 22.729193772172676425029838183381
absolute error = 3.54e-28
relative error = 1.5574683534679604795190288550005e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.533
y[1] (analytic) = 22.734209039995309407471371686598
y[1] (numeric) = 22.734209039995309407471371686952
absolute error = 3.54e-28
relative error = 1.5571247690087793719788746461201e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.534
y[1] (analytic) = 22.739224307817942389912905190169
y[1] (numeric) = 22.739224307817942389912905190523
absolute error = 3.54e-28
relative error = 1.5567813361086892133172119035867e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.535
y[1] (analytic) = 22.744239575640575372354438693739
y[1] (numeric) = 22.744239575640575372354438694094
absolute error = 3.55e-28
relative error = 1.5608347723359824697294643442753e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.536
y[1] (analytic) = 22.74925484346320835479597219731
y[1] (numeric) = 22.749254843463208354795972197665
absolute error = 3.55e-28
relative error = 1.5604906729593651896435451501959e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.537
y[1] (analytic) = 22.754270111285841337237505700881
y[1] (numeric) = 22.754270111285841337237505701236
absolute error = 3.55e-28
relative error = 1.5601467252686093233905930794112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.538
y[1] (analytic) = 22.759285379108474319679039204452
y[1] (numeric) = 22.759285379108474319679039204807
absolute error = 3.55e-28
relative error = 1.5598029291634377479557339800107e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.539
y[1] (analytic) = 22.764300646931107302120572708023
y[1] (numeric) = 22.764300646931107302120572708378
absolute error = 3.55e-28
relative error = 1.5594592845436617096768276715771e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 22.769315914753740284562106211594
y[1] (numeric) = 22.769315914753740284562106211949
absolute error = 3.55e-28
relative error = 1.5591157913091807269213922469798e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.541
y[1] (analytic) = 22.774331182576373267003639715164
y[1] (numeric) = 22.77433118257637326700363971552
absolute error = 3.56e-28
relative error = 1.5631633576680387816044930261429e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.542
y[1] (analytic) = 22.779346450399006249445173218735
y[1] (numeric) = 22.779346450399006249445173219091
absolute error = 3.56e-28
relative error = 1.5628192001696530399088513500032e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.543
y[1] (analytic) = 22.784361718221639231886706722306
y[1] (numeric) = 22.784361718221639231886706722662
absolute error = 3.56e-28
relative error = 1.5624751941823825901972271256251e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.544
y[1] (analytic) = 22.789376986044272214328240225877
y[1] (numeric) = 22.789376986044272214328240226233
absolute error = 3.56e-28
relative error = 1.5621313396061980869863562569795e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.545
y[1] (analytic) = 22.794392253866905196769773729448
y[1] (numeric) = 22.794392253866905196769773729804
absolute error = 3.56e-28
relative error = 1.5617876363411582194204626692441e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.546
y[1] (analytic) = 22.799407521689538179211307233019
y[1] (numeric) = 22.799407521689538179211307233375
absolute error = 3.56e-28
relative error = 1.5614440842874096144447872485074e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.547
y[1] (analytic) = 22.804422789512171161652840736589
y[1] (numeric) = 22.804422789512171161652840736946
absolute error = 3.57e-28
relative error = 1.5654857976242462534217912606424e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.548
y[1] (analytic) = 22.80943805733480414409437424016
y[1] (numeric) = 22.809438057334804144094374240517
absolute error = 3.57e-28
relative error = 1.5651415835086736399096052907082e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.549
y[1] (analytic) = 22.814453325157437126535907743731
y[1] (numeric) = 22.814453325157437126535907744088
absolute error = 3.57e-28
relative error = 1.5647975207292696668078445509213e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 22.819468592980070108977441247302
y[1] (numeric) = 22.819468592980070108977441247659
absolute error = 3.57e-28
relative error = 1.5644536091862522449030516180529e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.551
y[1] (analytic) = 22.824483860802703091418974750873
y[1] (numeric) = 22.82448386080270309141897475123
absolute error = 3.57e-28
relative error = 1.5641098487799269862247604619074e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.552
y[1] (analytic) = 22.829499128625336073860508254444
y[1] (numeric) = 22.829499128625336073860508254801
absolute error = 3.57e-28
relative error = 1.5637662394106871077128481683086e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.553
y[1] (analytic) = 22.834514396447969056302041758014
y[1] (numeric) = 22.834514396447969056302041758372
absolute error = 3.58e-28
relative error = 1.5678021164999629521967421244382e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.554
y[1] (analytic) = 22.839529664270602038743575261585
y[1] (numeric) = 22.839529664270602038743575261943
absolute error = 3.58e-28
relative error = 1.5674578472605031447851925543626e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.555
y[1] (analytic) = 22.844544932093235021185108765156
y[1] (numeric) = 22.844544932093235021185108765514
absolute error = 3.58e-28
relative error = 1.5671137291820705425580168809148e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.556
y[1] (analytic) = 22.849560199915868003626642268727
y[1] (numeric) = 22.849560199915868003626642269085
absolute error = 3.58e-28
relative error = 1.5667697621651297895855502398084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.557
y[1] (analytic) = 22.854575467738500986068175772298
y[1] (numeric) = 22.854575467738500986068175772656
absolute error = 3.58e-28
relative error = 1.5664259461102328991335893992905e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.558
y[1] (analytic) = 22.859590735561133968509709275869
y[1] (numeric) = 22.859590735561133968509709276227
absolute error = 3.58e-28
relative error = 1.5660822809180191578218005468554e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.559
y[1] (analytic) = 22.86460600338376695095124277944
y[1] (numeric) = 22.864606003383766950951242779798
absolute error = 3.58e-28
relative error = 1.5657387664892150299082620953206e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 22.86962127120639993339277628301
y[1] (numeric) = 22.869621271206399933392776283369
absolute error = 3.59e-28
relative error = 1.5697680155814067825426861673231e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.561
y[1] (analytic) = 22.874636539029032915834309786581
y[1] (numeric) = 22.87463653902903291583430978694
absolute error = 3.59e-28
relative error = 1.5694238436858616374467548614324e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.562
y[1] (analytic) = 22.879651806851665898275843290152
y[1] (numeric) = 22.879651806851665898275843290511
absolute error = 3.59e-28
relative error = 1.5690798226767240088545920480038e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.563
y[1] (analytic) = 22.884667074674298880717376793723
y[1] (numeric) = 22.884667074674298880717376794082
absolute error = 3.59e-28
relative error = 1.5687359524547917879453536977850e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.564
y[1] (analytic) = 22.889682342496931863158910297294
y[1] (numeric) = 22.889682342496931863158910297653
absolute error = 3.59e-28
relative error = 1.5683922329209498090259966965366e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.565
y[1] (analytic) = 22.894697610319564845600443800865
y[1] (numeric) = 22.894697610319564845600443801224
absolute error = 3.59e-28
relative error = 1.5680486639761697543033184935363e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.566
y[1] (analytic) = 22.899712878142197828041977304435
y[1] (numeric) = 22.899712878142197828041977304795
absolute error = 3.60e-28
relative error = 1.5720721125006786104769012162548e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.567
y[1] (analytic) = 22.904728145964830810483510808006
y[1] (numeric) = 22.904728145964830810483510808366
absolute error = 3.60e-28
relative error = 1.5717278882588348008402739114122e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.568
y[1] (analytic) = 22.909743413787463792925044311577
y[1] (numeric) = 22.909743413787463792925044311937
absolute error = 3.60e-28
relative error = 1.5713838147281301522411407516242e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.569
y[1] (analytic) = 22.914758681610096775366577815148
y[1] (numeric) = 22.914758681610096775366577815508
absolute error = 3.60e-28
relative error = 1.5710398918096079088285250499933e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 22.919773949432729757808111318719
y[1] (numeric) = 22.919773949432729757808111319079
absolute error = 3.60e-28
relative error = 1.5706961194043979289797660729583e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.571
y[1] (analytic) = 22.92478921725536274024964482229
y[1] (numeric) = 22.92478921725536274024964482265
absolute error = 3.60e-28
relative error = 1.5703524974137165905573246452459e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.572
y[1] (analytic) = 22.92980448507799572269117832586
y[1] (numeric) = 22.929804485077995722691178326221
absolute error = 3.61e-28
relative error = 1.5743701619214746593351734435358e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.573
y[1] (analytic) = 22.934819752900628705132711829431
y[1] (numeric) = 22.934819752900628705132711829792
absolute error = 3.61e-28
relative error = 1.5740258867931297053313826774208e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.574
y[1] (analytic) = 22.939835020723261687574245333002
y[1] (numeric) = 22.939835020723261687574245333363
absolute error = 3.61e-28
relative error = 1.5736817622004770753127269313173e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=297.5MB, alloc=4.1MB, time=18.76
TOP MAIN SOLVE Loop
x[1] = 4.575
y[1] (analytic) = 22.944850288545894670015778836573
y[1] (numeric) = 22.944850288545894670015778836934
absolute error = 3.61e-28
relative error = 1.5733377880448048398864290675072e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.576
y[1] (analytic) = 22.949865556368527652457312340144
y[1] (numeric) = 22.949865556368527652457312340505
absolute error = 3.61e-28
relative error = 1.5729939642274873563112790611550e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.577
y[1] (analytic) = 22.954880824191160634898845843715
y[1] (numeric) = 22.954880824191160634898845844076
absolute error = 3.61e-28
relative error = 1.5726502906499851742364896184936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.578
y[1] (analytic) = 22.959896092013793617340379347285
y[1] (numeric) = 22.959896092013793617340379347647
absolute error = 3.62e-28
relative error = 1.5766621876216395258897542626194e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.579
y[1] (analytic) = 22.964911359836426599781912850856
y[1] (numeric) = 22.964911359836426599781912851218
absolute error = 3.62e-28
relative error = 1.5763178630556596963361640127259e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 22.969926627659059582223446354427
y[1] (numeric) = 22.969926627659059582223446354789
absolute error = 3.62e-28
relative error = 1.5759736888497523470574879943825e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.581
y[1] (analytic) = 22.974941895481692564664979857998
y[1] (numeric) = 22.97494189548169256466497985836
absolute error = 3.62e-28
relative error = 1.5756296649054498470908742663767e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.582
y[1] (analytic) = 22.979957163304325547106513361569
y[1] (numeric) = 22.979957163304325547106513361931
absolute error = 3.62e-28
relative error = 1.5752857911243705258671529930754e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.583
y[1] (analytic) = 22.98497243112695852954804686514
y[1] (numeric) = 22.984972431126958529548046865502
absolute error = 3.62e-28
relative error = 1.5749420674082185794290410242792e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.584
y[1] (analytic) = 22.98998769894959151198958036871
y[1] (numeric) = 22.989987698949591511989580369073
absolute error = 3.63e-28
relative error = 1.5789482132545264739455011005013e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.585
y[1] (analytic) = 22.995002966772224494431113872281
y[1] (numeric) = 22.995002966772224494431113872644
absolute error = 3.63e-28
relative error = 1.5786038406889311573753930304685e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.586
y[1] (analytic) = 23.000018234594857476872647375852
y[1] (numeric) = 23.000018234594857476872647376215
absolute error = 3.63e-28
relative error = 1.5782596183076208801932352910375e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.587
y[1] (analytic) = 23.005033502417490459314180879423
y[1] (numeric) = 23.005033502417490459314180879786
absolute error = 3.63e-28
relative error = 1.5779155460123717803719592423584e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.588
y[1] (analytic) = 23.010048770240123441755714382994
y[1] (numeric) = 23.010048770240123441755714383357
absolute error = 3.63e-28
relative error = 1.5775716237050456313352609077371e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.589
y[1] (analytic) = 23.015064038062756424197247886565
y[1] (numeric) = 23.015064038062756424197247886928
absolute error = 3.63e-28
relative error = 1.5772278512875897486524683034861e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 23.020079305885389406638781390135
y[1] (numeric) = 23.020079305885389406638781390499
absolute error = 3.64e-28
relative error = 1.5812282623498111031828015414214e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.591
y[1] (analytic) = 23.025094573708022389080314893706
y[1] (numeric) = 23.02509457370802238908031489407
absolute error = 3.64e-28
relative error = 1.5808838432118564503613720486003e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.592
y[1] (analytic) = 23.030109841530655371521848397277
y[1] (numeric) = 23.030109841530655371521848397641
absolute error = 3.64e-28
relative error = 1.5805395740822371436430877776838e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.593
y[1] (analytic) = 23.035125109353288353963381900848
y[1] (numeric) = 23.035125109353288353963381901212
absolute error = 3.64e-28
relative error = 1.5801954548629725590265750217992e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.594
y[1] (analytic) = 23.040140377175921336404915404419
y[1] (numeric) = 23.040140377175921336404915404783
absolute error = 3.64e-28
relative error = 1.5798514854561673843293554800008e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.595
y[1] (analytic) = 23.04515564499855431884644890799
y[1] (numeric) = 23.045155644998554318846448908354
absolute error = 3.64e-28
relative error = 1.5795076657640115263567049129758e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.596
y[1] (analytic) = 23.05017091282118730128798241156
y[1] (numeric) = 23.050170912821187301287982411925
absolute error = 3.65e-28
relative error = 1.5835023583142986446153048532529e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.597
y[1] (analytic) = 23.055186180643820283729515915131
y[1] (numeric) = 23.055186180643820283729515915496
absolute error = 3.65e-28
relative error = 1.5831578940205604895914598880901e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.598
y[1] (analytic) = 23.060201448466453266171049418702
y[1] (numeric) = 23.060201448466453266171049419067
absolute error = 3.65e-28
relative error = 1.5828135795590510158007701403980e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.599
y[1] (analytic) = 23.065216716289086248612582922273
y[1] (numeric) = 23.065216716289086248612582922638
absolute error = 3.65e-28
relative error = 1.5824694148320323049906373354099e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 23.070231984111719231054116425844
y[1] (numeric) = 23.070231984111719231054116426209
absolute error = 3.65e-28
relative error = 1.5821253997418514284025958925109e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.601
y[1] (analytic) = 23.075247251934352213495649929415
y[1] (numeric) = 23.07524725193435221349564992978
absolute error = 3.65e-28
relative error = 1.5817815341909403544125062172463e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.602
y[1] (analytic) = 23.080262519756985195937183432985
y[1] (numeric) = 23.080262519756985195937183433351
absolute error = 3.66e-28
relative error = 1.5857705244327249408289489647928e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.603
y[1] (analytic) = 23.085277787579618178378716936556
y[1] (numeric) = 23.085277787579618178378716936922
absolute error = 3.66e-28
relative error = 1.5854260163891810075374371357759e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.604
y[1] (analytic) = 23.090293055402251160820250440127
y[1] (numeric) = 23.090293055402251160820250440493
absolute error = 3.66e-28
relative error = 1.5850816580016073365974854769714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.605
y[1] (analytic) = 23.095308323224884143261783943698
y[1] (numeric) = 23.095308323224884143261783944064
absolute error = 3.66e-28
relative error = 1.5847374491725081819098421576496e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.606
y[1] (analytic) = 23.100323591047517125703317447269
y[1] (numeric) = 23.100323591047517125703317447635
absolute error = 3.66e-28
relative error = 1.5843933898044724658477688093739e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.607
y[1] (analytic) = 23.10533885887015010814485095084
y[1] (numeric) = 23.105338858870150108144850951206
absolute error = 3.66e-28
relative error = 1.5840494798001736873659264458381e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.608
y[1] (analytic) = 23.11035412669278309058638445441
y[1] (numeric) = 23.110354126692783090586384454777
absolute error = 3.67e-28
relative error = 1.5880327838685511685628700447922e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.609
y[1] (analytic) = 23.115369394515416073027917957981
y[1] (numeric) = 23.115369394515416073027917958348
absolute error = 3.67e-28
relative error = 1.5876882334706625699148850436977e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 23.120384662338049055469451461552
y[1] (numeric) = 23.120384662338049055469451461919
absolute error = 3.67e-28
relative error = 1.5873438325523392157782440708031e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.611
y[1] (analytic) = 23.125399930160682037910984965123
y[1] (numeric) = 23.12539993016068203791098496549
absolute error = 3.67e-28
relative error = 1.5869995810163269973406430636310e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.612
y[1] (analytic) = 23.130415197983315020352518468694
y[1] (numeric) = 23.130415197983315020352518469061
absolute error = 3.67e-28
relative error = 1.5866554787654561545398319961844e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.613
y[1] (analytic) = 23.135430465805948002794051972265
y[1] (numeric) = 23.135430465805948002794051972632
absolute error = 3.67e-28
relative error = 1.5863115257026411846385660451772e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.614
y[1] (analytic) = 23.140445733628580985235585475835
y[1] (numeric) = 23.140445733628580985235585476203
absolute error = 3.68e-28
relative error = 1.5902891596647523605939720842715e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.615
y[1] (analytic) = 23.145461001451213967677118979406
y[1] (numeric) = 23.145461001451213967677118979774
absolute error = 3.68e-28
relative error = 1.5899445682975443969188704651850e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.616
y[1] (analytic) = 23.150476269273846950118652482977
y[1] (numeric) = 23.150476269273846950118652483345
absolute error = 3.68e-28
relative error = 1.5896001262333551541985674169906e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.617
y[1] (analytic) = 23.155491537096479932560185986548
y[1] (numeric) = 23.155491537096479932560185986916
absolute error = 3.68e-28
relative error = 1.5892558333751716248171079048795e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.618
y[1] (analytic) = 23.160506804919112915001719490119
y[1] (numeric) = 23.160506804919112915001719490487
absolute error = 3.68e-28
relative error = 1.5889116896260648314812878295428e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.619
y[1] (analytic) = 23.16552207274174589744325299369
y[1] (numeric) = 23.165522072741745897443252994058
absolute error = 3.68e-28
relative error = 1.5885676948891897362590576308354e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 23.17053734056437887988478649726
y[1] (numeric) = 23.170537340564378879884786497629
absolute error = 3.69e-28
relative error = 1.5925396747445997832951232093625e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.621
y[1] (analytic) = 23.175552608387011862326320000831
y[1] (numeric) = 23.1755526083870118623263200012
absolute error = 3.69e-28
relative error = 1.5921950437827420469213307135371e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.622
y[1] (analytic) = 23.180567876209644844767853504402
y[1] (numeric) = 23.180567876209644844767853504771
absolute error = 3.69e-28
relative error = 1.5918505619472200343624987510287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.623
y[1] (analytic) = 23.185583144032277827209387007973
y[1] (numeric) = 23.185583144032277827209387008342
absolute error = 3.69e-28
relative error = 1.5915062291412613019302334473837e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.624
y[1] (analytic) = 23.190598411854910809650920511544
y[1] (numeric) = 23.190598411854910809650920511913
absolute error = 3.69e-28
relative error = 1.5911620452681771191227225837489e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.625
y[1] (analytic) = 23.195613679677543792092454015115
y[1] (numeric) = 23.195613679677543792092454015484
absolute error = 3.69e-28
relative error = 1.5908180102313623781239933464334e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.626
y[1] (analytic) = 23.200628947500176774533987518685
y[1] (numeric) = 23.200628947500176774533987519055
absolute error = 3.70e-28
relative error = 1.5947843519124372256520430734287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.627
y[1] (analytic) = 23.205644215322809756975521022256
y[1] (numeric) = 23.205644215322809756975521022626
absolute error = 3.70e-28
relative error = 1.5944396827203230183415498719864e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.628
y[1] (analytic) = 23.210659483145442739417054525827
y[1] (numeric) = 23.210659483145442739417054526197
absolute error = 3.70e-28
relative error = 1.5940951624777300358397474627660e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.629
y[1] (analytic) = 23.215674750968075721858588029398
y[1] (numeric) = 23.215674750968075721858588029768
absolute error = 3.70e-28
relative error = 1.5937507910881258599840897078594e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 23.220690018790708704300121532969
y[1] (numeric) = 23.220690018790708704300121533339
absolute error = 3.70e-28
relative error = 1.5934065684550614699495359087864e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.631
y[1] (analytic) = 23.22570528661334168674165503654
y[1] (numeric) = 23.22570528661334168674165503691
absolute error = 3.70e-28
relative error = 1.5930624944821711522060788723129e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.632
y[1] (analytic) = 23.23072055443597466918318854011
y[1] (numeric) = 23.230720554435974669183188540481
absolute error = 3.71e-28
relative error = 1.5970232138544512549458621088315e-27 %
Correct digits = 28
h = 0.001
memory used=301.3MB, alloc=4.1MB, time=19.00
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.633
y[1] (analytic) = 23.235735822258607651624722043681
y[1] (numeric) = 23.235735822258607651624722044052
absolute error = 3.71e-28
relative error = 1.5966785077862763248239225745969e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.634
y[1] (analytic) = 23.240751090081240634066255547252
y[1] (numeric) = 23.240751090081240634066255547623
absolute error = 3.71e-28
relative error = 1.5963339504906815306234858196174e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.635
y[1] (analytic) = 23.245766357903873616507789050823
y[1] (numeric) = 23.245766357903873616507789051194
absolute error = 3.71e-28
relative error = 1.5959895418713739402177418097318e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.636
y[1] (analytic) = 23.250781625726506598949322554394
y[1] (numeric) = 23.250781625726506598949322554765
absolute error = 3.71e-28
relative error = 1.5956452818321437042513445401439e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.637
y[1] (analytic) = 23.255796893549139581390856057965
y[1] (numeric) = 23.255796893549139581390856058336
absolute error = 3.71e-28
relative error = 1.5953011702768639665536409937690e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.638
y[1] (analytic) = 23.260812161371772563832389561536
y[1] (numeric) = 23.260812161371772563832389561907
absolute error = 3.71e-28
relative error = 1.5949572071094907746677950168407e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.639
y[1] (analytic) = 23.265827429194405546273923065106
y[1] (numeric) = 23.265827429194405546273923065478
absolute error = 3.72e-28
relative error = 1.5989115415392760982867245782568e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 23.270842697017038528715456568677
y[1] (numeric) = 23.270842697017038528715456569049
absolute error = 3.72e-28
relative error = 1.5985669485346340129207145083046e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.641
y[1] (analytic) = 23.275857964839671511156990072248
y[1] (numeric) = 23.27585796483967151115699007262
absolute error = 3.72e-28
relative error = 1.5982225040294552510131685668031e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.642
y[1] (analytic) = 23.280873232662304493598523575819
y[1] (numeric) = 23.280873232662304493598523576191
absolute error = 3.72e-28
relative error = 1.5978782079277685954226874878357e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.643
y[1] (analytic) = 23.28588850048493747604005707939
y[1] (numeric) = 23.285888500484937476040057079762
absolute error = 3.72e-28
relative error = 1.5975340601336855093586291877091e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.644
y[1] (analytic) = 23.290903768307570458481590582961
y[1] (numeric) = 23.290903768307570458481590583333
absolute error = 3.72e-28
relative error = 1.5971900605514000473626432641114e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.645
y[1] (analytic) = 23.295919036130203440923124086531
y[1] (numeric) = 23.295919036130203440923124086904
absolute error = 3.73e-28
relative error = 1.6011388064214392738417647683444e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.646
y[1] (analytic) = 23.300934303952836423364657590102
y[1] (numeric) = 23.300934303952836423364657590475
absolute error = 3.73e-28
relative error = 1.6007941790416671173041320165647e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.647
y[1] (analytic) = 23.305949571775469405806191093673
y[1] (numeric) = 23.305949571775469405806191094046
absolute error = 3.73e-28
relative error = 1.6004496999844169199472772431589e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.648
y[1] (analytic) = 23.310964839598102388247724597244
y[1] (numeric) = 23.310964839598102388247724597617
absolute error = 3.73e-28
relative error = 1.6001053691539555565824004623407e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.649
y[1] (analytic) = 23.315980107420735370689258100815
y[1] (numeric) = 23.315980107420735370689258101188
absolute error = 3.73e-28
relative error = 1.5997611864546322708098510107463e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 23.320995375243368353130791604386
y[1] (numeric) = 23.320995375243368353130791604759
absolute error = 3.73e-28
relative error = 1.5994171517908785864505370642923e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.651
y[1] (analytic) = 23.326010643066001335572325107956
y[1] (numeric) = 23.32601064306600133557232510833
absolute error = 3.74e-28
relative error = 1.6033603247590774100274950288939e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.652
y[1] (analytic) = 23.331025910888634318013858611527
y[1] (numeric) = 23.331025910888634318013858611901
absolute error = 3.74e-28
relative error = 1.6030156643281317785979964272110e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.653
y[1] (analytic) = 23.336041178711267300455392115098
y[1] (numeric) = 23.336041178711267300455392115472
absolute error = 3.74e-28
relative error = 1.6026711520426539939905178120322e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.654
y[1] (analytic) = 23.341056446533900282896925618669
y[1] (numeric) = 23.341056446533900282896925619043
absolute error = 3.74e-28
relative error = 1.6023267878071484817442800557339e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.655
y[1] (analytic) = 23.34607171435653326533845912224
y[1] (numeric) = 23.346071714356533265338459122614
absolute error = 3.74e-28
relative error = 1.6019825715262017258942812845082e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.656
y[1] (analytic) = 23.351086982179166247779992625811
y[1] (numeric) = 23.351086982179166247779992626185
absolute error = 3.74e-28
relative error = 1.6016385031044821808500600041635e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.657
y[1] (analytic) = 23.356102250001799230221526129381
y[1] (numeric) = 23.356102250001799230221526129756
absolute error = 3.75e-28
relative error = 1.6055761187634426972473183186197e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.658
y[1] (analytic) = 23.361117517824432212663059632952
y[1] (numeric) = 23.361117517824432212663059633327
absolute error = 3.75e-28
relative error = 1.6052314265953955863204726083752e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.659
y[1] (analytic) = 23.366132785647065195104593136523
y[1] (numeric) = 23.366132785647065195104593136898
absolute error = 3.75e-28
relative error = 1.6048868823956541406054435307602e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 23.371148053469698177546126640094
y[1] (numeric) = 23.371148053469698177546126640469
absolute error = 3.75e-28
relative error = 1.6045424860689597942233393583287e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.661
y[1] (analytic) = 23.376163321292331159987660143665
y[1] (numeric) = 23.37616332129233115998766014404
absolute error = 3.75e-28
relative error = 1.6041982375201357307618024908414e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.662
y[1] (analytic) = 23.381178589114964142429193647236
y[1] (numeric) = 23.381178589114964142429193647611
absolute error = 3.75e-28
relative error = 1.6038541366540867955986189210235e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.663
y[1] (analytic) = 23.386193856937597124870727150806
y[1] (numeric) = 23.386193856937597124870727151182
absolute error = 3.76e-28
relative error = 1.6077862105314682067603781771902e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.664
y[1] (analytic) = 23.391209124760230107312260654377
y[1] (numeric) = 23.391209124760230107312260654753
absolute error = 3.76e-28
relative error = 1.6074414879305823859613300686617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.665
y[1] (analytic) = 23.396224392582863089753794157948
y[1] (numeric) = 23.396224392582863089753794158324
absolute error = 3.76e-28
relative error = 1.6070969131207366019557649389578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.666
y[1] (analytic) = 23.401239660405496072195327661519
y[1] (numeric) = 23.401239660405496072195327661895
absolute error = 3.76e-28
relative error = 1.6067524860069087544199835919927e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.667
y[1] (analytic) = 23.40625492822812905463686116509
y[1] (numeric) = 23.406254928228129054636861165466
absolute error = 3.76e-28
relative error = 1.6064082064941581847275859096289e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.668
y[1] (analytic) = 23.411270196050762037078394668661
y[1] (numeric) = 23.411270196050762037078394669037
absolute error = 3.76e-28
relative error = 1.6060640744876255887154334704880e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.669
y[1] (analytic) = 23.416285463873395019519928172231
y[1] (numeric) = 23.416285463873395019519928172608
absolute error = 3.77e-28
relative error = 1.6099906220465024320339527673301e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 23.421300731696028001961461675802
y[1] (numeric) = 23.421300731696028001961461676179
absolute error = 3.77e-28
relative error = 1.6096458703073061788365150900780e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.671
y[1] (analytic) = 23.426315999518660984402995179373
y[1] (numeric) = 23.42631599951866098440299517975
absolute error = 3.77e-28
relative error = 1.6093012661817854538999198181683e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.672
y[1] (analytic) = 23.431331267341293966844528682944
y[1] (numeric) = 23.431331267341293966844528683321
absolute error = 3.77e-28
relative error = 1.6089568095751540785887254860154e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.673
y[1] (analytic) = 23.436346535163926949286062186515
y[1] (numeric) = 23.436346535163926949286062186892
absolute error = 3.77e-28
relative error = 1.6086125003927070094514285192947e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.674
y[1] (analytic) = 23.441361802986559931727595690086
y[1] (numeric) = 23.441361802986559931727595690463
absolute error = 3.77e-28
relative error = 1.6082683385398202514262998439589e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.675
y[1] (analytic) = 23.446377070809192914169129193656
y[1] (numeric) = 23.446377070809192914169129194034
absolute error = 3.78e-28
relative error = 1.6121893751790381737346326205541e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.676
y[1] (analytic) = 23.451392338631825896610662697227
y[1] (numeric) = 23.451392338631825896610662697605
absolute error = 3.78e-28
relative error = 1.6118445955863993717299844955283e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.677
y[1] (analytic) = 23.456407606454458879052196200798
y[1] (numeric) = 23.456407606454458879052196201176
absolute error = 3.78e-28
relative error = 1.6114999634299772209128517214219e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.678
y[1] (analytic) = 23.461422874277091861493729704369
y[1] (numeric) = 23.461422874277091861493729704747
absolute error = 3.78e-28
relative error = 1.6111554786152209196685351648333e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.679
y[1] (analytic) = 23.46643814209972484393526320794
y[1] (numeric) = 23.466438142099724843935263208318
absolute error = 3.78e-28
relative error = 1.6108111410476604963046393462471e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 23.471453409922357826376796711511
y[1] (numeric) = 23.471453409922357826376796711889
absolute error = 3.78e-28
relative error = 1.6104669506329067226943178421133e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.681
y[1] (analytic) = 23.476468677744990808818330215081
y[1] (numeric) = 23.47646867774499080881833021546
absolute error = 3.79e-28
relative error = 1.6143824916874358191096538200206e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.682
y[1] (analytic) = 23.481483945567623791259863718652
y[1] (numeric) = 23.481483945567623791259863719031
absolute error = 3.79e-28
relative error = 1.6140376855166354270081780289442e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.683
y[1] (analytic) = 23.486499213390256773701397222223
y[1] (numeric) = 23.486499213390256773701397222602
absolute error = 3.79e-28
relative error = 1.6136930266045028975554750227454e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.684
y[1] (analytic) = 23.491514481212889756142930725794
y[1] (numeric) = 23.491514481212889756142930726173
absolute error = 3.79e-28
relative error = 1.6133485148567222607284990460112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.685
y[1] (analytic) = 23.496529749035522738584464229365
y[1] (numeric) = 23.496529749035522738584464229744
absolute error = 3.79e-28
relative error = 1.6130041501790580724124417356492e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.686
y[1] (analytic) = 23.501545016858155721025997732936
y[1] (numeric) = 23.501545016858155721025997733315
absolute error = 3.79e-28
relative error = 1.6126599324773553284789350259318e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.687
y[1] (analytic) = 23.506560284680788703467531236506
y[1] (numeric) = 23.506560284680788703467531236886
absolute error = 3.80e-28
relative error = 1.6165699932186410659900088674937e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.688
y[1] (analytic) = 23.511575552503421685909064740077
y[1] (numeric) = 23.511575552503421685909064740457
absolute error = 3.80e-28
relative error = 1.6162251617354459633735434219161e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.689
y[1] (analytic) = 23.516590820326054668350598243648
y[1] (numeric) = 23.516590820326054668350598244028
absolute error = 3.80e-28
relative error = 1.6158804773332844265931267993053e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=305.1MB, alloc=4.1MB, time=19.24
x[1] = 4.69
y[1] (analytic) = 23.521606088148687650792131747219
y[1] (numeric) = 23.521606088148687650792131747599
absolute error = 3.80e-28
relative error = 1.6155359399180747710650685633140e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.691
y[1] (analytic) = 23.52662135597132063323366525079
y[1] (numeric) = 23.52662135597132063323366525117
absolute error = 3.80e-28
relative error = 1.6151915493958155353432469754727e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.692
y[1] (analytic) = 23.531636623793953615675198754361
y[1] (numeric) = 23.531636623793953615675198754741
absolute error = 3.80e-28
relative error = 1.6148473056725853956298319611983e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.693
y[1] (analytic) = 23.536651891616586598116732257931
y[1] (numeric) = 23.536651891616586598116732258312
absolute error = 3.81e-28
relative error = 1.6187519013088971411331884918749e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.694
y[1] (analytic) = 23.541667159439219580558265761502
y[1] (numeric) = 23.541667159439219580558265761883
absolute error = 3.81e-28
relative error = 1.6184070457696323569105354904919e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.695
y[1] (analytic) = 23.546682427261852562999799265073
y[1] (numeric) = 23.546682427261852562999799265454
absolute error = 3.81e-28
relative error = 1.6180623371336856833520880920913e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.696
y[1] (analytic) = 23.551697695084485545441332768644
y[1] (numeric) = 23.551697695084485545441332769025
absolute error = 3.81e-28
relative error = 1.6177177753072091744757354327872e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.697
y[1] (analytic) = 23.556712962907118527882866272215
y[1] (numeric) = 23.556712962907118527882866272596
absolute error = 3.81e-28
relative error = 1.6173733601964348059054829875173e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.698
y[1] (analytic) = 23.561728230729751510324399775786
y[1] (numeric) = 23.561728230729751510324399776167
absolute error = 3.81e-28
relative error = 1.6170290917076743898122719438843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.699
y[1] (analytic) = 23.566743498552384492765933279356
y[1] (numeric) = 23.566743498552384492765933279738
absolute error = 3.82e-28
relative error = 1.6209282373844515621155428011907e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 23.571758766375017475207466782927
y[1] (numeric) = 23.571758766375017475207466783309
absolute error = 3.82e-28
relative error = 1.6205833590360718915704118346372e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.701
y[1] (analytic) = 23.576774034197650457649000286498
y[1] (numeric) = 23.57677403419765045764900028688
absolute error = 3.82e-28
relative error = 1.6202386274132180153969231275888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.702
y[1] (analytic) = 23.581789302020283440090533790069
y[1] (numeric) = 23.581789302020283440090533790451
absolute error = 3.82e-28
relative error = 1.6198940424222751787283997496374e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.703
y[1] (analytic) = 23.58680456984291642253206729364
y[1] (numeric) = 23.586804569842916422532067294022
absolute error = 3.82e-28
relative error = 1.6195496039697082480078536301924e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.704
y[1] (analytic) = 23.591819837665549404973600797211
y[1] (numeric) = 23.591819837665549404973600797593
absolute error = 3.82e-28
relative error = 1.6192053119620616263564914164105e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.705
y[1] (analytic) = 23.596835105488182387415134300781
y[1] (numeric) = 23.596835105488182387415134301164
absolute error = 3.83e-28
relative error = 1.6230990227622574914822141664657e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.706
y[1] (analytic) = 23.601850373310815369856667804352
y[1] (numeric) = 23.601850373310815369856667804735
absolute error = 3.83e-28
relative error = 1.6227541228424185077398677546156e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.707
y[1] (analytic) = 23.606865641133448352298201307923
y[1] (numeric) = 23.606865641133448352298201308306
absolute error = 3.83e-28
relative error = 1.6224093694702403861108599220780e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.708
y[1] (analytic) = 23.611880908956081334739734811494
y[1] (numeric) = 23.611880908956081334739734811877
absolute error = 3.83e-28
relative error = 1.6220647625523410147459255847963e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.709
y[1] (analytic) = 23.616896176778714317181268315065
y[1] (numeric) = 23.616896176778714317181268315448
absolute error = 3.83e-28
relative error = 1.6217203019954176040398848276112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 23.621911444601347299622801818636
y[1] (numeric) = 23.621911444601347299622801819019
absolute error = 3.83e-28
relative error = 1.6213759877062466024254389921913e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.711
y[1] (analytic) = 23.626926712423980282064335322207
y[1] (numeric) = 23.62692671242398028206433532259
absolute error = 3.83e-28
relative error = 1.6210318195916836122742130446234e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.712
y[1] (analytic) = 23.631941980246613264505868825777
y[1] (numeric) = 23.631941980246613264505868826161
absolute error = 3.84e-28
relative error = 1.6249193583877981970430177596875e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.713
y[1] (analytic) = 23.636957248069246246947402329348
y[1] (numeric) = 23.636957248069246246947402329732
absolute error = 3.84e-28
relative error = 1.6245745844946541702666453816353e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.714
y[1] (analytic) = 23.641972515891879229388935832919
y[1] (numeric) = 23.641972515891879229388935833303
absolute error = 3.84e-28
relative error = 1.6242299568780876335313321348424e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.715
y[1] (analytic) = 23.64698778371451221183046933649
y[1] (numeric) = 23.646987783714512211830469336874
absolute error = 3.84e-28
relative error = 1.6238854754450275937363095829581e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.716
y[1] (analytic) = 23.652003051537145194272002840061
y[1] (numeric) = 23.652003051537145194272002840445
absolute error = 3.84e-28
relative error = 1.6235411401024819984026080754129e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.717
y[1] (analytic) = 23.657018319359778176713536343632
y[1] (numeric) = 23.657018319359778176713536344016
absolute error = 3.84e-28
relative error = 1.6231969507575376519963323476038e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.718
y[1] (analytic) = 23.662033587182411159155069847202
y[1] (numeric) = 23.662033587182411159155069847587
absolute error = 3.85e-28
relative error = 1.6270790867634990910363674680105e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.719
y[1] (analytic) = 23.667048855005044141596603350773
y[1] (numeric) = 23.667048855005044141596603351158
absolute error = 3.85e-28
relative error = 1.6267342935685926491861796384983e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 23.672064122827677124038136854344
y[1] (numeric) = 23.672064122827677124038136854729
absolute error = 3.85e-28
relative error = 1.6263896464724976083706740919647e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.721
y[1] (analytic) = 23.677079390650310106479670357915
y[1] (numeric) = 23.6770793906503101064796703583
absolute error = 3.85e-28
relative error = 1.6260451453823742240011823160503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.722
y[1] (analytic) = 23.682094658472943088921203861486
y[1] (numeric) = 23.682094658472943088921203861871
absolute error = 3.85e-28
relative error = 1.6257007902054613959147779995920e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.723
y[1] (analytic) = 23.687109926295576071362737365057
y[1] (numeric) = 23.687109926295576071362737365442
absolute error = 3.85e-28
relative error = 1.6253565808490765851174214935578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.724
y[1] (analytic) = 23.692125194118209053804270868627
y[1] (numeric) = 23.692125194118209053804270869013
absolute error = 3.86e-28
relative error = 1.6292333289536562909721557460838e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.725
y[1] (analytic) = 23.697140461940842036245804372198
y[1] (numeric) = 23.697140461940842036245804372584
absolute error = 3.86e-28
relative error = 1.6288885176671052526036960305819e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.726
y[1] (analytic) = 23.702155729763475018687337875769
y[1] (numeric) = 23.702155729763475018687337876155
absolute error = 3.86e-28
relative error = 1.6285438523015387893678509827549e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.727
y[1] (analytic) = 23.70717099758610800112887137934
y[1] (numeric) = 23.707170997586108001128871379726
absolute error = 3.86e-28
relative error = 1.6281993327643478566855222645440e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.728
y[1] (analytic) = 23.712186265408740983570404882911
y[1] (numeric) = 23.712186265408740983570404883297
absolute error = 3.86e-28
relative error = 1.6278549589630017594231099290397e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.729
y[1] (analytic) = 23.717201533231373966011938386482
y[1] (numeric) = 23.717201533231373966011938386868
absolute error = 3.86e-28
relative error = 1.6275107308050480690531748243814e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 23.722216801054006948453471890052
y[1] (numeric) = 23.722216801054006948453471890439
absolute error = 3.87e-28
relative error = 1.6313821058359314853267115803226e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.731
y[1] (analytic) = 23.727232068876639930895005393623
y[1] (numeric) = 23.72723206887663993089500539401
absolute error = 3.87e-28
relative error = 1.6310372776588365938692339410116e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.732
y[1] (analytic) = 23.732247336699272913336538897194
y[1] (numeric) = 23.732247336699272913336538897581
absolute error = 3.87e-28
relative error = 1.6306925952248427568882810175245e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.733
y[1] (analytic) = 23.737262604521905895778072400765
y[1] (numeric) = 23.737262604521905895778072401152
absolute error = 3.87e-28
relative error = 1.6303480584415710808356952831028e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.734
y[1] (analytic) = 23.742277872344538878219605904336
y[1] (numeric) = 23.742277872344538878219605904723
absolute error = 3.87e-28
relative error = 1.6300036672167207278401659854089e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.735
y[1] (analytic) = 23.747293140167171860661139407907
y[1] (numeric) = 23.747293140167171860661139408294
absolute error = 3.87e-28
relative error = 1.6296594214580688332830719693613e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.736
y[1] (analytic) = 23.752308407989804843102672911477
y[1] (numeric) = 23.752308407989804843102672911865
absolute error = 3.88e-28
relative error = 1.6335254381821874013171933710625e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.737
y[1] (analytic) = 23.757323675812437825544206415048
y[1] (numeric) = 23.757323675812437825544206415436
absolute error = 3.88e-28
relative error = 1.6331805943067003446565817617378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.738
y[1] (analytic) = 23.762338943635070807985739918619
y[1] (numeric) = 23.762338943635070807985739919007
absolute error = 3.88e-28
relative error = 1.6328358959963781200165107229531e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.739
y[1] (analytic) = 23.76735421145770379042727342219
y[1] (numeric) = 23.767354211457703790427273422578
absolute error = 3.88e-28
relative error = 1.6324913431590714354585836263667e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 23.772369479280336772868806925761
y[1] (numeric) = 23.772369479280336772868806926149
absolute error = 3.88e-28
relative error = 1.6321469357027087621599636720152e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.741
y[1] (analytic) = 23.777384747102969755310340429332
y[1] (numeric) = 23.77738474710296975531034042972
absolute error = 3.88e-28
relative error = 1.6318026735352962524020729393275e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.742
y[1] (analytic) = 23.782400014925602737751873932902
y[1] (numeric) = 23.782400014925602737751873933291
absolute error = 3.89e-28
relative error = 1.6356633466591571361621910239937e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.743
y[1] (analytic) = 23.787415282748235720193407436473
y[1] (numeric) = 23.787415282748235720193407436862
absolute error = 3.89e-28
relative error = 1.6353184882685479948726775955678e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.744
y[1] (analytic) = 23.792430550570868702634940940044
y[1] (numeric) = 23.792430550570868702634940940433
absolute error = 3.89e-28
relative error = 1.6349737752651187056663384982669e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.745
y[1] (analytic) = 23.797445818393501685076474443615
y[1] (numeric) = 23.797445818393501685076474444004
absolute error = 3.89e-28
relative error = 1.6346292075569490283837955396793e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.746
y[1] (analytic) = 23.802461086216134667518007947186
y[1] (numeric) = 23.802461086216134667518007947575
absolute error = 3.89e-28
relative error = 1.6342847850521961946230741331180e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.747
y[1] (analytic) = 23.807476354038767649959541450757
y[1] (numeric) = 23.807476354038767649959541451146
absolute error = 3.89e-28
relative error = 1.6339405076590948261388476586851e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=308.9MB, alloc=4.1MB, time=19.48
x[1] = 4.748
y[1] (analytic) = 23.812491621861400632401074954327
y[1] (numeric) = 23.812491621861400632401074954717
absolute error = 3.90e-28
relative error = 1.6377958518291084133791052793185e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.749
y[1] (analytic) = 23.817506889684033614842608457898
y[1] (numeric) = 23.817506889684033614842608458288
absolute error = 3.90e-28
relative error = 1.6374509800978325430035779882511e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 23.822522157506666597284141961469
y[1] (numeric) = 23.822522157506666597284141961859
absolute error = 3.90e-28
relative error = 1.6371062535757066835208403928851e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.751
y[1] (analytic) = 23.82753742532929957972567546504
y[1] (numeric) = 23.82753742532929957972567546543
absolute error = 3.90e-28
relative error = 1.6367616721710390963426629901503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.752
y[1] (analytic) = 23.832552693151932562167208968611
y[1] (numeric) = 23.832552693151932562167208969001
absolute error = 3.90e-28
relative error = 1.6364172357922152244789545172989e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.753
y[1] (analytic) = 23.837567960974565544608742472182
y[1] (numeric) = 23.837567960974565544608742472572
absolute error = 3.90e-28
relative error = 1.6360729443476976113452539167271e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.754
y[1] (analytic) = 23.842583228797198527050275975752
y[1] (numeric) = 23.842583228797198527050275976143
absolute error = 3.91e-28
relative error = 1.6399229741505028089539070039189e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.755
y[1] (analytic) = 23.847598496619831509491809479323
y[1] (numeric) = 23.847598496619831509491809479714
absolute error = 3.91e-28
relative error = 1.6395780902442671616754729540758e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.756
y[1] (analytic) = 23.852613764442464491933342982894
y[1] (numeric) = 23.852613764442464491933342983285
absolute error = 3.91e-28
relative error = 1.6392333513691106715237329471469e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.757
y[1] (analytic) = 23.857629032265097474374876486465
y[1] (numeric) = 23.857629032265097474374876486856
absolute error = 3.91e-28
relative error = 1.6388887574335695509284998731617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.758
y[1] (analytic) = 23.862644300087730456816409990036
y[1] (numeric) = 23.862644300087730456816409990427
absolute error = 3.91e-28
relative error = 1.6385443083462569049531050644452e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.759
y[1] (analytic) = 23.867659567910363439257943493607
y[1] (numeric) = 23.867659567910363439257943493998
absolute error = 3.91e-28
relative error = 1.6382000040158626505078533088107e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 23.872674835732996421699476997177
y[1] (numeric) = 23.872674835732996421699476997569
absolute error = 3.92e-28
relative error = 1.6420447339786499917667554468607e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.761
y[1] (analytic) = 23.877690103555629404141010500748
y[1] (numeric) = 23.87769010355562940414101050114
absolute error = 3.92e-28
relative error = 1.6416998390544788827577727214990e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.762
y[1] (analytic) = 23.882705371378262386582544004319
y[1] (numeric) = 23.882705371378262386582544004711
absolute error = 3.92e-28
relative error = 1.6413550889832788661927248901841e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.763
y[1] (analytic) = 23.88772063920089536902407750789
y[1] (numeric) = 23.887720639200895369024077508282
absolute error = 3.92e-28
relative error = 1.6410104836738135546524786745867e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.764
y[1] (analytic) = 23.892735907023528351465611011461
y[1] (numeric) = 23.892735907023528351465611011853
absolute error = 3.92e-28
relative error = 1.6406660230349231655771947789791e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.765
y[1] (analytic) = 23.897751174846161333907144515032
y[1] (numeric) = 23.897751174846161333907144515424
absolute error = 3.92e-28
relative error = 1.6403217069755244408834744862658e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.766
y[1] (analytic) = 23.902766442668794316348678018602
y[1] (numeric) = 23.902766442668794316348678018995
absolute error = 3.93e-28
relative error = 1.6441611515663570222099534111378e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.767
y[1] (analytic) = 23.907781710491427298790211522173
y[1] (numeric) = 23.907781710491427298790211522566
absolute error = 3.93e-28
relative error = 1.6438162467726573458889527915844e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.768
y[1] (analytic) = 23.912796978314060281231745025744
y[1] (numeric) = 23.912796978314060281231745026137
absolute error = 3.93e-28
relative error = 1.6434714866537872415798317863848e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.769
y[1] (analytic) = 23.917812246136693263673278529315
y[1] (numeric) = 23.917812246136693263673278529708
absolute error = 3.93e-28
relative error = 1.6431268711187371708644659168553e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 23.922827513959326246114812032886
y[1] (numeric) = 23.922827513959326246114812033279
absolute error = 3.93e-28
relative error = 1.6427824000765739135959408715897e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.771
y[1] (analytic) = 23.927842781781959228556345536457
y[1] (numeric) = 23.92784278178195922855634553685
absolute error = 3.93e-28
relative error = 1.6424380734364404879171322484768e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.772
y[1] (analytic) = 23.932858049604592210997879040027
y[1] (numeric) = 23.932858049604592210997879040421
absolute error = 3.94e-28
relative error = 1.6462722470645727524927745154881e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.773
y[1] (analytic) = 23.937873317427225193439412543598
y[1] (numeric) = 23.937873317427225193439412543992
absolute error = 3.94e-28
relative error = 1.6459273335411986538645547848123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.774
y[1] (analytic) = 23.942888585249858175880946047169
y[1] (numeric) = 23.942888585249858175880946047563
absolute error = 3.94e-28
relative error = 1.6455825645144828602629911998134e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.775
y[1] (analytic) = 23.94790385307249115832247955074
y[1] (numeric) = 23.947903853072491158322479551134
absolute error = 3.94e-28
relative error = 1.6452379398936421308681717252165e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.776
y[1] (analytic) = 23.952919120895124140764013054311
y[1] (numeric) = 23.952919120895124140764013054705
absolute error = 3.94e-28
relative error = 1.6448934595879692577251926272841e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.777
y[1] (analytic) = 23.957934388717757123205546557882
y[1] (numeric) = 23.957934388717757123205546558276
absolute error = 3.94e-28
relative error = 1.6445491235068329861619258923820e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.778
y[1] (analytic) = 23.962949656540390105647080061452
y[1] (numeric) = 23.962949656540390105647080061847
absolute error = 3.95e-28
relative error = 1.6483780405230273716907496898985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.779
y[1] (analytic) = 23.967964924363023088088613565023
y[1] (numeric) = 23.967964924363023088088613565418
absolute error = 3.95e-28
relative error = 1.6480331194013443778904377523196e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 23.972980192185656070530147068594
y[1] (numeric) = 23.972980192185656070530147068989
absolute error = 3.95e-28
relative error = 1.6476883425981223393176573260115e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.781
y[1] (analytic) = 23.977995460008289052971680572165
y[1] (numeric) = 23.97799546000828905297168057256
absolute error = 3.95e-28
relative error = 1.6473437100228037611249533608733e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.782
y[1] (analytic) = 23.983010727830922035413214075736
y[1] (numeric) = 23.983010727830922035413214076131
absolute error = 3.95e-28
relative error = 1.6469992215849068971012969507183e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.783
y[1] (analytic) = 23.988025995653555017854747579307
y[1] (numeric) = 23.988025995653555017854747579702
absolute error = 3.95e-28
relative error = 1.6466548771940256704868078650084e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.784
y[1] (analytic) = 23.993041263476188000296281082878
y[1] (numeric) = 23.993041263476188000296281083273
absolute error = 3.95e-28
relative error = 1.6463106767598295948867897195516e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.785
y[1] (analytic) = 23.998056531298820982737814586448
y[1] (numeric) = 23.998056531298820982737814586844
absolute error = 3.96e-28
relative error = 1.6501336242938157552729956214757e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.786
y[1] (analytic) = 24.003071799121453965179348090019
y[1] (numeric) = 24.003071799121453965179348090415
absolute error = 3.96e-28
relative error = 1.6497888408370055137863109169999e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.787
y[1] (analytic) = 24.00808706694408694762088159359
y[1] (numeric) = 24.008087066944086947620881593986
absolute error = 3.96e-28
relative error = 1.6494442014301041130105042926178e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.788
y[1] (analytic) = 24.013102334766719930062415097161
y[1] (numeric) = 24.013102334766719930062415097557
absolute error = 3.96e-28
relative error = 1.6490997059828547178323483811114e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.789
y[1] (analytic) = 24.018117602589352912503948600732
y[1] (numeric) = 24.018117602589352912503948601128
absolute error = 3.96e-28
relative error = 1.6487553544050758799292720920362e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 24.023132870411985894945482104303
y[1] (numeric) = 24.023132870411985894945482104699
absolute error = 3.96e-28
relative error = 1.6484111466066614590775123275075e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.791
y[1] (analytic) = 24.028148138234618877387015607873
y[1] (numeric) = 24.02814813823461887738701560827
absolute error = 3.97e-28
relative error = 1.6522288680594431216915395698576e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.792
y[1] (analytic) = 24.033163406057251859828549111444
y[1] (numeric) = 24.033163406057251859828549111841
absolute error = 3.97e-28
relative error = 1.6518840790636043397379311517503e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.793
y[1] (analytic) = 24.038178673879884842270082615015
y[1] (numeric) = 24.038178673879884842270082615412
absolute error = 3.97e-28
relative error = 1.6515394339396603371633978884180e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.794
y[1] (analytic) = 24.043193941702517824711616118586
y[1] (numeric) = 24.043193941702517824711616118983
absolute error = 3.97e-28
relative error = 1.6511949325975786391372895450954e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.795
y[1] (analytic) = 24.048209209525150807153149622157
y[1] (numeric) = 24.048209209525150807153149622554
absolute error = 3.97e-28
relative error = 1.6508505749474018761259991823123e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.796
y[1] (analytic) = 24.053224477347783789594683125728
y[1] (numeric) = 24.053224477347783789594683126125
absolute error = 3.97e-28
relative error = 1.6505063608992477055930287904894e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.797
y[1] (analytic) = 24.058239745170416772036216629298
y[1] (numeric) = 24.058239745170416772036216629696
absolute error = 3.98e-28
relative error = 1.6543188704397906197763285615205e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.798
y[1] (analytic) = 24.063255012993049754477750132869
y[1] (numeric) = 24.063255012993049754477750133267
absolute error = 3.98e-28
relative error = 1.6539740770111870785883801812450e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.799
y[1] (analytic) = 24.06827028081568273691928363644
y[1] (numeric) = 24.068270280815682736919283636838
absolute error = 3.98e-28
relative error = 1.6536294272764483440439775181524e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 24.073285548638315719360817140011
y[1] (numeric) = 24.073285548638315719360817140409
absolute error = 3.98e-28
relative error = 1.6532849211457657506389683561695e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.801
y[1] (analytic) = 24.078300816460948701802350643582
y[1] (numeric) = 24.07830081646094870180235064398
absolute error = 3.98e-28
relative error = 1.6529405585294054578352526785281e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.802
y[1] (analytic) = 24.083316084283581684243884147153
y[1] (numeric) = 24.083316084283581684243884147551
absolute error = 3.98e-28
relative error = 1.6525963393377083721505722843843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.803
y[1] (analytic) = 24.088331352106214666685417650723
y[1] (numeric) = 24.088331352106214666685417651122
absolute error = 3.99e-28
relative error = 1.6564036510777762252987570560150e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.804
y[1] (analytic) = 24.093346619928847649126951154294
y[1] (numeric) = 24.093346619928847649126951154693
absolute error = 3.99e-28
relative error = 1.6560588543144378039362885387260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.805
y[1] (analytic) = 24.098361887751480631568484657865
y[1] (numeric) = 24.098361887751480631568484658264
absolute error = 3.99e-28
relative error = 1.6557142010669217919063330156170e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
memory used=312.8MB, alloc=4.1MB, time=19.72
TOP MAIN SOLVE Loop
x[1] = 4.806
y[1] (analytic) = 24.103377155574113614010018161436
y[1] (numeric) = 24.103377155574113614010018161835
absolute error = 3.99e-28
relative error = 1.6553696912456427819621161340074e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.807
y[1] (analytic) = 24.108392423396746596451551665007
y[1] (numeric) = 24.108392423396746596451551665406
absolute error = 3.99e-28
relative error = 1.6550253247610899126502871104722e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.808
y[1] (analytic) = 24.113407691219379578893085168578
y[1] (numeric) = 24.113407691219379578893085168977
absolute error = 3.99e-28
relative error = 1.6546811015238267907882550208069e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.809
y[1] (analytic) = 24.118422959042012561334618672148
y[1] (numeric) = 24.118422959042012561334618672548
absolute error = 4.00e-28
relative error = 1.6584832295182871318679168580715e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 24.123438226864645543776152175719
y[1] (numeric) = 24.123438226864645543776152176119
absolute error = 4.00e-28
relative error = 1.6581384305100712717573414075813e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.811
y[1] (analytic) = 24.12845349468727852621768567929
y[1] (numeric) = 24.12845349468727852621768567969
absolute error = 4.00e-28
relative error = 1.6577937748396264429750181189910e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.812
y[1] (analytic) = 24.133468762509911508659219182861
y[1] (numeric) = 24.133468762509911508659219183261
absolute error = 4.00e-28
relative error = 1.6574492624175899453767273837211e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.813
y[1] (analytic) = 24.138484030332544491100752686432
y[1] (numeric) = 24.138484030332544491100752686832
absolute error = 4.00e-28
relative error = 1.6571048931546733465931460981645e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.814
y[1] (analytic) = 24.143499298155177473542286190003
y[1] (numeric) = 24.143499298155177473542286190403
absolute error = 4.00e-28
relative error = 1.6567606669616624048925658850157e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.815
y[1] (analytic) = 24.148514565977810455983819693573
y[1] (numeric) = 24.148514565977810455983819693974
absolute error = 4.01e-28
relative error = 1.6605576252087905346200818693442e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.816
y[1] (analytic) = 24.153529833800443438425353197144
y[1] (numeric) = 24.153529833800443438425353197545
absolute error = 4.01e-28
relative error = 1.6602128250374431943927936463646e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.817
y[1] (analytic) = 24.158545101623076420866886700715
y[1] (numeric) = 24.158545101623076420866886701116
absolute error = 4.01e-28
relative error = 1.6598681680258099282116865685888e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.818
y[1] (analytic) = 24.163560369445709403308420204286
y[1] (numeric) = 24.163560369445709403308420204687
absolute error = 4.01e-28
relative error = 1.6595236540847501918214392280805e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.819
y[1] (analytic) = 24.168575637268342385749953707857
y[1] (numeric) = 24.168575637268342385749953708258
absolute error = 4.01e-28
relative error = 1.6591792831251974318729392406914e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 24.173590905090975368191487211428
y[1] (numeric) = 24.173590905090975368191487211829
absolute error = 4.01e-28
relative error = 1.6588350550581590091692311620108e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.821
y[1] (analytic) = 24.178606172913608350633020714998
y[1] (numeric) = 24.1786061729136083506330207154
absolute error = 4.02e-28
relative error = 1.6626268574999398529845625868738e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.822
y[1] (analytic) = 24.183621440736241333074554218569
y[1] (numeric) = 24.183621440736241333074554218971
absolute error = 4.02e-28
relative error = 1.6622820572391559583655280446533e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.823
y[1] (analytic) = 24.18863670855887431551608772214
y[1] (numeric) = 24.188636708558874315516087722542
absolute error = 4.02e-28
relative error = 1.6619373999600269606548986587846e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.824
y[1] (analytic) = 24.193651976381507297957621225711
y[1] (numeric) = 24.193651976381507297957621226113
absolute error = 4.02e-28
relative error = 1.6615928855736339202401692021804e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.825
y[1] (analytic) = 24.198667244204140280399154729282
y[1] (numeric) = 24.198667244204140280399154729684
absolute error = 4.02e-28
relative error = 1.6612485139911316126919328976825e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.826
y[1] (analytic) = 24.203682512026773262840688232853
y[1] (numeric) = 24.203682512026773262840688233255
absolute error = 4.02e-28
relative error = 1.6609042851237484523909192356648e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.827
y[1] (analytic) = 24.208697779849406245282221736423
y[1] (numeric) = 24.208697779849406245282221736826
absolute error = 4.03e-28
relative error = 1.6646909456461764322107848066593e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.828
y[1] (analytic) = 24.213713047672039227723755239994
y[1] (numeric) = 24.213713047672039227723755240397
absolute error = 4.03e-28
relative error = 1.6643461463616598256589598719438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.829
y[1] (analytic) = 24.218728315494672210165288743565
y[1] (numeric) = 24.218728315494672210165288743968
absolute error = 4.03e-28
relative error = 1.6640014898807400369189186708934e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 24.223743583317305192606822247136
y[1] (numeric) = 24.223743583317305192606822247539
absolute error = 4.03e-28
relative error = 1.6636569761147191797684178595744e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.831
y[1] (analytic) = 24.228758851139938175048355750707
y[1] (numeric) = 24.22875885113993817504835575111
absolute error = 4.03e-28
relative error = 1.6633126049749728085865158894110e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.832
y[1] (analytic) = 24.233774118962571157489889254278
y[1] (numeric) = 24.233774118962571157489889254681
absolute error = 4.03e-28
relative error = 1.6629683763729498423595733157583e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.833
y[1] (analytic) = 24.238789386785204139931422757848
y[1] (numeric) = 24.238789386785204139931422758252
absolute error = 4.04e-28
relative error = 1.6667499088063267629473081506664e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.834
y[1] (analytic) = 24.243804654607837122372956261419
y[1] (numeric) = 24.243804654607837122372956261823
absolute error = 4.04e-28
relative error = 1.6664051115558496577005255052070e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.835
y[1] (analytic) = 24.24881992243047010481448976499
y[1] (numeric) = 24.248819922430470104814489765394
absolute error = 4.04e-28
relative error = 1.6660604569309156660443309808005e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.836
y[1] (analytic) = 24.253835190253103087256023268561
y[1] (numeric) = 24.253835190253103087256023268965
absolute error = 4.04e-28
relative error = 1.6657159448430474039132217312181e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.837
y[1] (analytic) = 24.258850458075736069697556772132
y[1] (numeric) = 24.258850458075736069697556772536
absolute error = 4.04e-28
relative error = 1.6653715752038406543982510424169e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.838
y[1] (analytic) = 24.263865725898369052139090275703
y[1] (numeric) = 24.263865725898369052139090276107
absolute error = 4.04e-28
relative error = 1.6650273479249642921298760422014e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.839
y[1] (analytic) = 24.268880993721002034580623779273
y[1] (numeric) = 24.268880993721002034580623779678
absolute error = 4.05e-28
relative error = 1.6688037660441952577737595210988e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.84
y[1] (analytic) = 24.273896261543635017022157282844
y[1] (numeric) = 24.273896261543635017022157283249
absolute error = 4.05e-28
relative error = 1.6684589718776572009023186616936e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.841
y[1] (analytic) = 24.278911529366267999463690786415
y[1] (numeric) = 24.27891152936626799946369078682
absolute error = 4.05e-28
relative error = 1.6681143201586161645046937249735e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.842
y[1] (analytic) = 24.283926797188900981905224289986
y[1] (numeric) = 24.283926797188900981905224290391
absolute error = 4.05e-28
relative error = 1.6677698107988147154826977122257e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.843
y[1] (analytic) = 24.288942065011533964346757793557
y[1] (numeric) = 24.288942065011533964346757793962
absolute error = 4.05e-28
relative error = 1.6674254437100683155827425815810e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.844
y[1] (analytic) = 24.293957332834166946788291297128
y[1] (numeric) = 24.293957332834166946788291297533
absolute error = 4.05e-28
relative error = 1.6670812188042652461534315281991e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.845
y[1] (analytic) = 24.298972600656799929229824800698
y[1] (numeric) = 24.298972600656799929229824801104
absolute error = 4.06e-28
relative error = 1.6708525363291526232012599283845e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.846
y[1] (analytic) = 24.303987868479432911671358304269
y[1] (numeric) = 24.303987868479432911671358304675
absolute error = 4.06e-28
relative error = 1.6705077462886389722266001553906e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.847
y[1] (analytic) = 24.30900313630206589411289180784
y[1] (numeric) = 24.309003136302065894112891808246
absolute error = 4.06e-28
relative error = 1.6701630985175870557891694559569e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.848
y[1] (analytic) = 24.314018404124698876554425311411
y[1] (numeric) = 24.314018404124698876554425311817
absolute error = 4.06e-28
relative error = 1.6698185929279588406373977625872e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.849
y[1] (analytic) = 24.319033671947331858995958814982
y[1] (numeric) = 24.319033671947331858995958815388
absolute error = 4.06e-28
relative error = 1.6694742294317889171808835539334e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 24.324048939769964841437492318553
y[1] (numeric) = 24.324048939769964841437492318959
absolute error = 4.06e-28
relative error = 1.6691300079411844246206400727882e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.851
y[1] (analytic) = 24.329064207592597823879025822123
y[1] (numeric) = 24.32906420759259782387902582253
absolute error = 4.07e-28
relative error = 1.6728962385367198652758166117191e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.852
y[1] (analytic) = 24.334079475415230806320559325694
y[1] (numeric) = 24.334079475415230806320559326101
absolute error = 4.07e-28
relative error = 1.6725514536565597828633525110159e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.853
y[1] (analytic) = 24.339094743237863788762092829265
y[1] (numeric) = 24.339094743237863788762092829672
absolute error = 4.07e-28
relative error = 1.6722068108678401126010686963629e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.854
y[1] (analytic) = 24.344110011060496771203626332836
y[1] (numeric) = 24.344110011060496771203626333243
absolute error = 4.07e-28
relative error = 1.6718623100827416700562394691902e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.855
y[1] (analytic) = 24.349125278883129753645159836407
y[1] (numeric) = 24.349125278883129753645159836814
absolute error = 4.07e-28
relative error = 1.6715179512135176243981434363438e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.856
y[1] (analytic) = 24.354140546705762736086693339978
y[1] (numeric) = 24.354140546705762736086693340385
absolute error = 4.07e-28
relative error = 1.6711737341724934238988851695735e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.857
y[1] (analytic) = 24.359155814528395718528226843549
y[1] (numeric) = 24.359155814528395718528226843956
absolute error = 4.07e-28
relative error = 1.6708296588720667215262479685915e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.858
y[1] (analytic) = 24.364171082351028700969760347119
y[1] (numeric) = 24.364171082351028700969760347527
absolute error = 4.08e-28
relative error = 1.6745901127559719377307263099785e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.859
y[1] (analytic) = 24.36918635017366168341129385069
y[1] (numeric) = 24.369186350173661683411293851098
absolute error = 4.08e-28
relative error = 1.6742454759762320793364619085975e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 24.374201617996294665852827354261
y[1] (numeric) = 24.374201617996294665852827354669
absolute error = 4.08e-28
relative error = 1.6739009810223275048345408259003e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.861
y[1] (analytic) = 24.379216885818927648294360857832
y[1] (numeric) = 24.37921688581892764829436085824
absolute error = 4.08e-28
relative error = 1.6735566278067294123628612248252e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.862
y[1] (analytic) = 24.384232153641560630735894361403
y[1] (numeric) = 24.384232153641560630735894361811
absolute error = 4.08e-28
relative error = 1.6732124162419810105914990567411e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.863
y[1] (analytic) = 24.389247421464193613177427864974
y[1] (numeric) = 24.389247421464193613177427865382
absolute error = 4.08e-28
relative error = 1.6728683462406974446835016273648e-27 %
Correct digits = 28
h = 0.001
memory used=316.6MB, alloc=4.1MB, time=19.96
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.864
y[1] (analytic) = 24.394262689286826595618961368544
y[1] (numeric) = 24.394262689286826595618961368953
absolute error = 4.09e-28
relative error = 1.6766237422687901481370786275291e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.865
y[1] (analytic) = 24.399277957109459578060494872115
y[1] (numeric) = 24.399277957109459578060494872524
absolute error = 4.09e-28
relative error = 1.6762791125170391121354060522716e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.866
y[1] (analytic) = 24.404293224932092560502028375686
y[1] (numeric) = 24.404293224932092560502028376095
absolute error = 4.09e-28
relative error = 1.6759346244133570243606145590426e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.867
y[1] (analytic) = 24.409308492754725542943561879257
y[1] (numeric) = 24.409308492754725542943561879666
absolute error = 4.09e-28
relative error = 1.6755902778704325622639717370662e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.868
y[1] (analytic) = 24.414323760577358525385095382828
y[1] (numeric) = 24.414323760577358525385095383237
absolute error = 4.09e-28
relative error = 1.6752460728010261463719700994867e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.869
y[1] (analytic) = 24.419339028399991507826628886399
y[1] (numeric) = 24.419339028399991507826628886808
absolute error = 4.09e-28
relative error = 1.6749020091179698666130109764431e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 24.424354296222624490268162389969
y[1] (numeric) = 24.424354296222624490268162390379
absolute error = 4.10e-28
relative error = 1.6786523607848621945752838757141e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.871
y[1] (analytic) = 24.42936956404525747270969589354
y[1] (numeric) = 24.42936956404525747270969589395
absolute error = 4.10e-28
relative error = 1.6783077390725269734308422243333e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.872
y[1] (analytic) = 24.434384831867890455151229397111
y[1] (numeric) = 24.434384831867890455151229397521
absolute error = 4.10e-28
relative error = 1.6779632588305170130504171746157e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.873
y[1] (analytic) = 24.439400099690523437592762900682
y[1] (numeric) = 24.439400099690523437592762901092
absolute error = 4.10e-28
relative error = 1.6776189199717379207021613943623e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.874
y[1] (analytic) = 24.444415367513156420034296404253
y[1] (numeric) = 24.444415367513156420034296404663
absolute error = 4.10e-28
relative error = 1.6772747224091667803819516772112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.875
y[1] (analytic) = 24.449430635335789402475829907824
y[1] (numeric) = 24.449430635335789402475829908234
absolute error = 4.10e-28
relative error = 1.6769306660558520795039246102005e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.876
y[1] (analytic) = 24.454445903158422384917363411394
y[1] (numeric) = 24.454445903158422384917363411805
absolute error = 4.11e-28
relative error = 1.6806759868025353762560530158232e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.877
y[1] (analytic) = 24.459461170981055367358896914965
y[1] (numeric) = 24.459461170981055367358896915376
absolute error = 4.11e-28
relative error = 1.6803313741335170175568001855964e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.878
y[1] (analytic) = 24.464476438803688349800430418536
y[1] (numeric) = 24.464476438803688349800430418947
absolute error = 4.11e-28
relative error = 1.6799869027571058824568500420569e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.879
y[1] (analytic) = 24.469491706626321332241963922107
y[1] (numeric) = 24.469491706626321332241963922518
absolute error = 4.11e-28
relative error = 1.6796425725864239587260738891481e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 24.474506974448954314683497425678
y[1] (numeric) = 24.474506974448954314683497426089
absolute error = 4.11e-28
relative error = 1.6792983835346644456197775625315e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.881
y[1] (analytic) = 24.479522242271587297125030929249
y[1] (numeric) = 24.47952224227158729712503092966
absolute error = 4.11e-28
relative error = 1.6789543355150916809310621809370e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.882
y[1] (analytic) = 24.484537510094220279566564432819
y[1] (numeric) = 24.484537510094220279566564433231
absolute error = 4.12e-28
relative error = 1.6826946387292187836270783563253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.883
y[1] (analytic) = 24.48955277791685326200809793639
y[1] (numeric) = 24.489552777916853262008097936802
absolute error = 4.12e-28
relative error = 1.6823500360999480036181438737620e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.884
y[1] (analytic) = 24.494568045739486244449631439961
y[1] (numeric) = 24.494568045739486244449631440373
absolute error = 4.12e-28
relative error = 1.6820055745855950249114243520843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.885
y[1] (analytic) = 24.499583313562119226891164943532
y[1] (numeric) = 24.499583313562119226891164943944
absolute error = 4.12e-28
relative error = 1.6816612540994976666668160768843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.886
y[1] (analytic) = 24.504598581384752209332698447103
y[1] (numeric) = 24.504598581384752209332698447515
absolute error = 4.12e-28
relative error = 1.6813170745550646953883333065043e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.887
y[1] (analytic) = 24.509613849207385191774231950674
y[1] (numeric) = 24.509613849207385191774231951086
absolute error = 4.12e-28
relative error = 1.6809730358657757523362792174299e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.888
y[1] (analytic) = 24.514629117030018174215765454244
y[1] (numeric) = 24.514629117030018174215765454657
absolute error = 4.13e-28
relative error = 1.6847083348819414297688785937001e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.889
y[1] (analytic) = 24.519644384852651156657298957815
y[1] (numeric) = 24.519644384852651156657298958228
absolute error = 4.13e-28
relative error = 1.6843637432814337714686599644112e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 24.524659652675284139098832461386
y[1] (numeric) = 24.524659652675284139098832461799
absolute error = 4.13e-28
relative error = 1.6840192926181860345010794613509e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.891
y[1] (analytic) = 24.529674920497917121540365964957
y[1] (numeric) = 24.52967492049791712154036596537
absolute error = 4.13e-28
relative error = 1.6836749828057513205296010153355e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.892
y[1] (analytic) = 24.534690188320550103981899468528
y[1] (numeric) = 24.534690188320550103981899468941
absolute error = 4.13e-28
relative error = 1.6833308137577534155172278344248e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.893
y[1] (analytic) = 24.539705456143183086423432972099
y[1] (numeric) = 24.539705456143183086423432972512
absolute error = 4.13e-28
relative error = 1.6829867853878867174964803936248e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.894
y[1] (analytic) = 24.544720723965816068864966475669
y[1] (numeric) = 24.544720723965816068864966476083
absolute error = 4.14e-28
relative error = 1.6867170934879062762062036363777e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.895
y[1] (analytic) = 24.54973599178844905130649997924
y[1] (numeric) = 24.549735991788449051306499979654
absolute error = 4.14e-28
relative error = 1.6863725138978168162927805099964e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.896
y[1] (analytic) = 24.554751259611082033748033482811
y[1] (numeric) = 24.554751259611082033748033483225
absolute error = 4.14e-28
relative error = 1.6860280750673638308319363963301e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.897
y[1] (analytic) = 24.559766527433715016189566986382
y[1] (numeric) = 24.559766527433715016189566986796
absolute error = 4.14e-28
relative error = 1.6856837769103151553508598318220e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.898
y[1] (analytic) = 24.564781795256347998631100489953
y[1] (numeric) = 24.564781795256347998631100490367
absolute error = 4.14e-28
relative error = 1.6853396193405090477242059200556e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.899
y[1] (analytic) = 24.569797063078980981072633993524
y[1] (numeric) = 24.569797063078980981072633993938
absolute error = 4.14e-28
relative error = 1.6849956022718541162998898951688e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 24.574812330901613963514167497094
y[1] (numeric) = 24.574812330901613963514167497509
absolute error = 4.15e-28
relative error = 1.6887209326850401883257229850732e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.901
y[1] (analytic) = 24.579827598724246945955701000665
y[1] (numeric) = 24.57982759872424694595570100108
absolute error = 4.15e-28
relative error = 1.6883763660797177969385926600405e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.902
y[1] (analytic) = 24.584842866546879928397234504236
y[1] (numeric) = 24.584842866546879928397234504651
absolute error = 4.15e-28
relative error = 1.6880319400564457206846272188614e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.903
y[1] (analytic) = 24.589858134369512910838768007807
y[1] (numeric) = 24.589858134369512910838768008222
absolute error = 4.15e-28
relative error = 1.6876876545292059805825092039279e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.904
y[1] (analytic) = 24.594873402192145893280301511378
y[1] (numeric) = 24.594873402192145893280301511793
absolute error = 4.15e-28
relative error = 1.6873435094120507591345927053137e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.905
y[1] (analytic) = 24.599888670014778875721835014949
y[1] (numeric) = 24.599888670014778875721835015364
absolute error = 4.15e-28
relative error = 1.6869995046191023288065326456388e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.906
y[1] (analytic) = 24.604903937837411858163368518519
y[1] (numeric) = 24.604903937837411858163368518935
absolute error = 4.16e-28
relative error = 1.6907198705225398552464175819985e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.907
y[1] (analytic) = 24.60991920566004484060490202209
y[1] (numeric) = 24.609919205660044840604902022506
absolute error = 4.16e-28
relative error = 1.6903753178690810128059760866690e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.908
y[1] (analytic) = 24.614934473482677823046435525661
y[1] (numeric) = 24.614934473482677823046435526077
absolute error = 4.16e-28
relative error = 1.6900309056201264323225192863253e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.909
y[1] (analytic) = 24.619949741305310805487969029232
y[1] (numeric) = 24.619949741305310805487969029648
absolute error = 4.16e-28
relative error = 1.6896866336898717722222295085118e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 24.624965009127943787929502532803
y[1] (numeric) = 24.624965009127943787929502533219
absolute error = 4.16e-28
relative error = 1.6893425019925825926352188711374e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.911
y[1] (analytic) = 24.629980276950576770371036036374
y[1] (numeric) = 24.62998027695057677037103603679
absolute error = 4.16e-28
relative error = 1.6889985104425942842270259941528e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.912
y[1] (analytic) = 24.634995544773209752812569539944
y[1] (numeric) = 24.634995544773209752812569540361
absolute error = 4.17e-28
relative error = 1.6927139249614137086485762800714e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.913
y[1] (analytic) = 24.640010812595842735254103043515
y[1] (numeric) = 24.640010812595842735254103043932
absolute error = 4.17e-28
relative error = 1.6923693872197158837536752875455e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.914
y[1] (analytic) = 24.645026080418475717695636547086
y[1] (numeric) = 24.645026080418475717695636547503
absolute error = 4.17e-28
relative error = 1.6920249897050191568746045355537e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.915
y[1] (analytic) = 24.650041348241108700137170050657
y[1] (numeric) = 24.650041348241108700137170051074
absolute error = 4.17e-28
relative error = 1.6916807323317322760695435783745e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.916
y[1] (analytic) = 24.655056616063741682578703554228
y[1] (numeric) = 24.655056616063741682578703554645
absolute error = 4.17e-28
relative error = 1.6913366150143336324006929795994e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.917
y[1] (analytic) = 24.660071883886374665020237057799
y[1] (numeric) = 24.660071883886374665020237058216
absolute error = 4.17e-28
relative error = 1.6909926376673711891156816529816e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.918
y[1] (analytic) = 24.665087151709007647461770561369
y[1] (numeric) = 24.665087151709007647461770561787
absolute error = 4.18e-28
relative error = 1.6947031138750198747305182428095e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.919
y[1] (analytic) = 24.67010241953164062990330406494
y[1] (numeric) = 24.670102419531640629903304065358
absolute error = 4.18e-28
relative error = 1.6943585919978344671528133194017e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 24.675117687354273612344837568511
y[1] (numeric) = 24.675117687354273612344837568929
absolute error = 4.18e-28
relative error = 1.6940142101701926308790017719790e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=320.4MB, alloc=4.1MB, time=20.20
x[1] = 4.921
y[1] (analytic) = 24.680132955176906594786371072082
y[1] (numeric) = 24.6801329551769065947863710725
absolute error = 4.18e-28
relative error = 1.6936699683067156561521415806009e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.922
y[1] (analytic) = 24.685148222999539577227904575653
y[1] (numeric) = 24.685148222999539577227904576071
absolute error = 4.18e-28
relative error = 1.6933258663220942185950200565089e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.923
y[1] (analytic) = 24.690163490822172559669438079224
y[1] (numeric) = 24.690163490822172559669438079642
absolute error = 4.18e-28
relative error = 1.6929819041310883087395264509723e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.924
y[1] (analytic) = 24.695178758644805542110971582794
y[1] (numeric) = 24.695178758644805542110971583213
absolute error = 4.19e-28
relative error = 1.6966874550496001931290761065319e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.925
y[1] (analytic) = 24.700194026467438524552505086365
y[1] (numeric) = 24.700194026467438524552505086784
absolute error = 4.19e-28
relative error = 1.6963429499825850458817402535154e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.926
y[1] (analytic) = 24.705209294290071506994038589936
y[1] (numeric) = 24.705209294290071506994038590355
absolute error = 4.19e-28
relative error = 1.6959985847877042937408791612999e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.927
y[1] (analytic) = 24.710224562112704489435572093507
y[1] (numeric) = 24.710224562112704489435572093926
absolute error = 4.19e-28
relative error = 1.6956543593797912220352284856024e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.928
y[1] (analytic) = 24.715239829935337471877105597078
y[1] (numeric) = 24.715239829935337471877105597497
absolute error = 4.19e-28
relative error = 1.6953102736737482449203674408610e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.929
y[1] (analytic) = 24.720255097757970454318639100649
y[1] (numeric) = 24.720255097757970454318639101068
absolute error = 4.19e-28
relative error = 1.6949663275845468352541226919381e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 24.72527036558060343676017260422
y[1] (numeric) = 24.725270365580603436760172604639
absolute error = 4.19e-28
relative error = 1.6946225210272274545573165818586e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.931
y[1] (analytic) = 24.73028563340323641920170610779
y[1] (numeric) = 24.73028563340323641920170610821
absolute error = 4.20e-28
relative error = 1.6983224788665818207281388722347e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.932
y[1] (analytic) = 24.735300901225869401643239611361
y[1] (numeric) = 24.735300901225869401643239611781
absolute error = 4.20e-28
relative error = 1.6979781312431295535300999146369e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.933
y[1] (analytic) = 24.740316169048502384084773114932
y[1] (numeric) = 24.740316169048502384084773115352
absolute error = 4.20e-28
relative error = 1.6976339232294982683986322276483e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.934
y[1] (analytic) = 24.745331436871135366526306618503
y[1] (numeric) = 24.745331436871135366526306618923
absolute error = 4.20e-28
relative error = 1.6972898547408015723572056706504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.935
y[1] (analytic) = 24.750346704693768348967840122074
y[1] (numeric) = 24.750346704693768348967840122494
absolute error = 4.20e-28
relative error = 1.6969459256922218759899600362693e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.936
y[1] (analytic) = 24.755361972516401331409373625645
y[1] (numeric) = 24.755361972516401331409373626065
absolute error = 4.20e-28
relative error = 1.6966021359990103237460398660837e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.937
y[1] (analytic) = 24.760377240339034313850907129215
y[1] (numeric) = 24.760377240339034313850907129636
absolute error = 4.21e-28
relative error = 1.7002971962564307403389375753323e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.938
y[1] (analytic) = 24.765392508161667296292440632786
y[1] (numeric) = 24.765392508161667296292440633207
absolute error = 4.21e-28
relative error = 1.6999528671360871942189823429355e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.939
y[1] (analytic) = 24.770407775984300278733974136357
y[1] (numeric) = 24.770407775984300278733974136778
absolute error = 4.21e-28
relative error = 1.6996086774484710599419588599748e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 24.775423043806933261175507639928
y[1] (numeric) = 24.775423043806933261175507640349
absolute error = 4.21e-28
relative error = 1.6992646271089065921160596780193e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.941
y[1] (analytic) = 24.780438311629566243617041143499
y[1] (numeric) = 24.78043831162956624361704114392
absolute error = 4.21e-28
relative error = 1.6989207160327865948296569134619e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.942
y[1] (analytic) = 24.78545357945219922605857464707
y[1] (numeric) = 24.785453579452199226058574647491
absolute error = 4.21e-28
relative error = 1.6985769441355723522973158254584e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.943
y[1] (analytic) = 24.79046884727483220850010815064
y[1] (numeric) = 24.790468847274832208500108151062
absolute error = 4.22e-28
relative error = 1.7022671196732515015367624600125e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.944
y[1] (analytic) = 24.795484115097465190941641654211
y[1] (numeric) = 24.795484115097465190941641654633
absolute error = 4.22e-28
relative error = 1.7019228099807609571392024352430e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.945
y[1] (analytic) = 24.800499382920098173383175157782
y[1] (numeric) = 24.800499382920098173383175158204
absolute error = 4.22e-28
relative error = 1.7015786395439599943571722628598e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.946
y[1] (analytic) = 24.805514650742731155824708661353
y[1] (numeric) = 24.805514650742731155824708661775
absolute error = 4.22e-28
relative error = 1.7012346082783829705006503922041e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.947
y[1] (analytic) = 24.810529918565364138266242164924
y[1] (numeric) = 24.810529918565364138266242165346
absolute error = 4.22e-28
relative error = 1.7008907160996325393362071639057e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.948
y[1] (analytic) = 24.815545186387997120707775668495
y[1] (numeric) = 24.815545186387997120707775668917
absolute error = 4.22e-28
relative error = 1.7005469629233795820728004930965e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.949
y[1] (analytic) = 24.820560454210630103149309172065
y[1] (numeric) = 24.820560454210630103149309172488
absolute error = 4.23e-28
relative error = 1.7042322665531957525033539846975e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 24.825575722033263085590842675636
y[1] (numeric) = 24.825575722033263085590842676059
absolute error = 4.23e-28
relative error = 1.7038879772064173291190098727814e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.951
y[1] (analytic) = 24.830590989855896068032376179207
y[1] (numeric) = 24.83059098985589606803237617963
absolute error = 4.23e-28
relative error = 1.7035438269383489757905673339260e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.952
y[1] (analytic) = 24.835606257678529050473909682778
y[1] (numeric) = 24.835606257678529050473909683201
absolute error = 4.23e-28
relative error = 1.7031998156647346080652461369684e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.953
y[1] (analytic) = 24.840621525501162032915443186349
y[1] (numeric) = 24.840621525501162032915443186772
absolute error = 4.23e-28
relative error = 1.7028559433013861859759941187700e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.954
y[1] (analytic) = 24.84563679332379501535697668992
y[1] (numeric) = 24.845636793323795015356976690343
absolute error = 4.23e-28
relative error = 1.7025122097641836453651794247613e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.955
y[1] (analytic) = 24.85065206114642799779851019349
y[1] (numeric) = 24.850652061146427997798510193914
absolute error = 4.24e-28
relative error = 1.7061926542479615310155360041764e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.956
y[1] (analytic) = 24.855667328969060980240043697061
y[1] (numeric) = 24.855667328969060980240043697485
absolute error = 4.24e-28
relative error = 1.7058483861579195694475344835944e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.957
y[1] (analytic) = 24.860682596791693962681577200632
y[1] (numeric) = 24.860682596791693962681577201056
absolute error = 4.24e-28
relative error = 1.7055042569696690309021547106504e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.958
y[1] (analytic) = 24.865697864614326945123110704203
y[1] (numeric) = 24.865697864614326945123110704627
absolute error = 4.24e-28
relative error = 1.7051602665991628451355346713783e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.959
y[1] (analytic) = 24.870713132436959927564644207774
y[1] (numeric) = 24.870713132436959927564644208198
absolute error = 4.24e-28
relative error = 1.7048164149624217354672274451893e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 24.875728400259592910006177711345
y[1] (numeric) = 24.875728400259592910006177711769
absolute error = 4.24e-28
relative error = 1.7044727019755341504399155041721e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.961
y[1] (analytic) = 24.880743668082225892447711214915
y[1] (numeric) = 24.88074366808222589244771121534
absolute error = 4.25e-28
relative error = 1.7081483000253039696079143179037e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.962
y[1] (analytic) = 24.885758935904858874889244718486
y[1] (numeric) = 24.885758935904858874889244718911
absolute error = 4.25e-28
relative error = 1.7078040540962380075019876926885e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.963
y[1] (analytic) = 24.890774203727491857330778222057
y[1] (numeric) = 24.890774203727491857330778222482
absolute error = 4.25e-28
relative error = 1.7074599468921081993199401432843e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.964
y[1] (analytic) = 24.895789471550124839772311725628
y[1] (numeric) = 24.895789471550124839772311726053
absolute error = 4.25e-28
relative error = 1.7071159783290759454522286323771e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.965
y[1] (analytic) = 24.900804739372757822213845229199
y[1] (numeric) = 24.900804739372757822213845229624
absolute error = 4.25e-28
relative error = 1.7067721483233701899747961593394e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.966
y[1] (analytic) = 24.90582000719539080465537873277
y[1] (numeric) = 24.905820007195390804655378733195
absolute error = 4.25e-28
relative error = 1.7064284567912873526429446095690e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.967
y[1] (analytic) = 24.91083527501802378709691223634
y[1] (numeric) = 24.910835275018023787096912236766
absolute error = 4.26e-28
relative error = 1.7100992210695422992284568072370e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.968
y[1] (analytic) = 24.915850542840656769538445739911
y[1] (numeric) = 24.915850542840656769538445740337
absolute error = 4.26e-28
relative error = 1.7097549981989566425659712080407e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.969
y[1] (analytic) = 24.920865810663289751979979243482
y[1] (numeric) = 24.920865810663289751979979243908
absolute error = 4.26e-28
relative error = 1.7094109138765177299794214050204e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 24.925881078485922734421512747053
y[1] (numeric) = 24.925881078485922734421512747479
absolute error = 4.26e-28
relative error = 1.7090669680185948893898883222427e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.971
y[1] (analytic) = 24.930896346308555716863046250624
y[1] (numeric) = 24.93089634630855571686304625105
absolute error = 4.26e-28
relative error = 1.7087231605416247435662331445476e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.972
y[1] (analytic) = 24.935911614131188699304579754195
y[1] (numeric) = 24.935911614131188699304579754621
absolute error = 4.26e-28
relative error = 1.7083794913621111424512761386858e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.973
y[1] (analytic) = 24.940926881953821681746113257765
y[1] (numeric) = 24.940926881953821681746113258192
absolute error = 4.27e-28
relative error = 1.7120454344820631826484269036743e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.974
y[1] (analytic) = 24.945942149776454664187646761336
y[1] (numeric) = 24.945942149776454664187646761763
absolute error = 4.27e-28
relative error = 1.7117012355607760770628522299904e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.975
y[1] (analytic) = 24.950957417599087646629180264907
y[1] (numeric) = 24.950957417599087646629180265334
absolute error = 4.27e-28
relative error = 1.7113571750109146145347993953713e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.976
y[1] (analytic) = 24.955972685421720629070713768478
y[1] (numeric) = 24.955972685421720629070713768905
absolute error = 4.27e-28
relative error = 1.7110132527490555079000456173578e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.977
y[1] (analytic) = 24.960987953244353611512247272049
y[1] (numeric) = 24.960987953244353611512247272476
absolute error = 4.27e-28
relative error = 1.7106694686918425170405117524558e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.978
y[1] (analytic) = 24.96600322106698659395378077562
y[1] (numeric) = 24.966003221066986593953780776047
absolute error = 4.27e-28
relative error = 1.7103258227559863815409053820756e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
memory used=324.2MB, alloc=4.1MB, time=20.45
x[1] = 4.979
y[1] (analytic) = 24.97101848888961957639531427919
y[1] (numeric) = 24.971018488889619576395314279618
absolute error = 4.28e-28
relative error = 1.7139869572818204085867662226147e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.98
y[1] (analytic) = 24.976033756712252558836847782761
y[1] (numeric) = 24.976033756712252558836847783189
absolute error = 4.28e-28
relative error = 1.7136427831940128141272106470680e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.981
y[1] (analytic) = 24.981049024534885541278381286332
y[1] (numeric) = 24.98104902453488554127838128676
absolute error = 4.28e-28
relative error = 1.7132987473009804887278677017463e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.982
y[1] (analytic) = 24.986064292357518523719914789903
y[1] (numeric) = 24.986064292357518523719914790331
absolute error = 4.28e-28
relative error = 1.7129548495195069880276011686870e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.983
y[1] (analytic) = 24.991079560180151506161448293474
y[1] (numeric) = 24.991079560180151506161448293902
absolute error = 4.28e-28
relative error = 1.7126110897664426679417035967085e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.984
y[1] (analytic) = 24.996094828002784488602981797045
y[1] (numeric) = 24.996094828002784488602981797473
absolute error = 4.28e-28
relative error = 1.7122674679587046176471727573030e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.985
y[1] (analytic) = 25.001110095825417471044515300615
y[1] (numeric) = 25.001110095825417471044515301044
absolute error = 4.29e-28
relative error = 1.7159238064058309772109109433952e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.986
y[1] (analytic) = 25.006125363648050453486048804186
y[1] (numeric) = 25.006125363648050453486048804615
absolute error = 4.29e-28
relative error = 1.7155796580290949501396692845617e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.987
y[1] (analytic) = 25.011140631470683435927582307757
y[1] (numeric) = 25.011140631470683435927582308186
absolute error = 4.29e-28
relative error = 1.7152356476705569323032667039953e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.988
y[1] (analytic) = 25.016155899293316418369115811328
y[1] (numeric) = 25.016155899293316418369115811757
absolute error = 4.29e-28
relative error = 1.7148917752472067805526044612720e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.989
y[1] (analytic) = 25.021171167115949400810649314899
y[1] (numeric) = 25.021171167115949400810649315328
absolute error = 4.29e-28
relative error = 1.7145480406761009062730789843304e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 25.02618643493858238325218281847
y[1] (numeric) = 25.026186434938582383252182818899
absolute error = 4.29e-28
relative error = 1.7142044438743622086966715536723e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.991
y[1] (analytic) = 25.03120170276121536569371632204
y[1] (numeric) = 25.03120170276121536569371632247
absolute error = 4.30e-28
relative error = 1.7178559987096676073811406698559e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.992
y[1] (analytic) = 25.036216970583848348135249825611
y[1] (numeric) = 25.036216970583848348135249826041
absolute error = 4.30e-28
relative error = 1.7175118769150542925559441272538e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.993
y[1] (analytic) = 25.041232238406481330576783329182
y[1] (numeric) = 25.041232238406481330576783329612
absolute error = 4.30e-28
relative error = 1.7171678929621371977647252319749e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.994
y[1] (analytic) = 25.046247506229114313018316832753
y[1] (numeric) = 25.046247506229114313018316833183
absolute error = 4.30e-28
relative error = 1.7168240467681119400158736650482e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.995
y[1] (analytic) = 25.051262774051747295459850336324
y[1] (numeric) = 25.051262774051747295459850336754
absolute error = 4.30e-28
relative error = 1.7164803382502404461339886052554e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.996
y[1] (analytic) = 25.056278041874380277901383839895
y[1] (numeric) = 25.056278041874380277901383840325
absolute error = 4.30e-28
relative error = 1.7161367673258508863969721944057e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.997
y[1] (analytic) = 25.061293309697013260342917343465
y[1] (numeric) = 25.061293309697013260342917343896
absolute error = 4.31e-28
relative error = 1.7197835509679476957138593383384e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.998
y[1] (analytic) = 25.066308577519646242784450847036
y[1] (numeric) = 25.066308577519646242784450847467
absolute error = 4.31e-28
relative error = 1.7194394566200149330696588862899e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
TOP MAIN SOLVE Loop
x[1] = 4.999
y[1] (analytic) = 25.071323845342279225225984350607
y[1] (numeric) = 25.071323845342279225225984351038
absolute error = 4.31e-28
relative error = 1.7190954999373543979760262279810e-27 %
Correct digits = 28
h = 0.001
NO POLE for equation 1
Finished!
diff ( y , x , 1 ) = sinh(0.1) * cosh(0.05) / tanh(0.02);
Iterations = 4900
Total Elapsed Time = 20 Seconds
Elapsed Time(since restart) = 20 Seconds
Time to Timeout = 2 Minutes 39 Seconds
Percent Done = 100 %
> quit
memory used=325.6MB, alloc=4.1MB, time=20.54