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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
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> #BEGIN OUTFILE1
> # Begin Function number 3
> display_poles := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles, array_complex_poles,array_poles,array_real_poles,array_x ;
> local rad_given;
> if (glob_type_given_pole = 4) then # if number 1
> rad_given := sqrt(expt(array_x[1] - array_given_rad_poles[1,1],2.0) + expt(array_given_rad_poles[1,2],2.0)) ;
> omniout_float(ALWAYS,"Radius of convergence (given) for eq 1 ",4, rad_given,4," ");
> omniout_float(ALWAYS,"Order of pole (given) ",4, array_given_ord_poles[1,1],4," ");
> elif
> (glob_type_given_pole = 3) then # if number 2
> omniout_str(ALWAYS,"NO POLE (given) for Equation 1");
> else
> omniout_str(ALWAYS,"NO INFO (given) for Equation 1");
> fi;# end if 2;
> if (array_poles[1,1] <> glob_large_float) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (ratio test) for eq 1 ",4, array_poles[1,1],4," ");
> omniout_str(ALWAYS,"Order of pole (ratio test) Not computed");
> else
> omniout_str(ALWAYS,"NO POLE (ratio test) for Equation 1");
> fi;# end if 2;
> if ((array_real_poles[1,1] > 0.0) and (array_real_poles[1,1] <> glob_large_float)) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (three term test) for eq 1 ",4, array_real_poles[1,1],4," ");
> omniout_float(ALWAYS,"Order of pole (three term test) ",4, array_real_poles[1,2],4," ");
> else
> omniout_str(ALWAYS,"NO REAL POLE (three term test) for Equation 1");
> fi;# end if 2;
> if ((array_complex_poles[1,1] > 0.0) and (array_complex_poles[1,1] <> glob_large_float)) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (six term test) for eq 1 ",4, array_complex_poles[1,1],4," ");
> omniout_float(ALWAYS,"Order of pole (six term test) ",4, array_complex_poles[1,2],4," ");
> else
> omniout_str(ALWAYS,"NO COMPLEX POLE (six term test) for Equation 1");
> fi;# end if 2
> ;
> end;
display_poles := proc()
local rad_given;
global ALWAYS, glob_display_flag, glob_large_float, array_pole,
glob_type_given_pole, array_given_rad_poles, array_given_ord_poles,
array_complex_poles, array_poles, array_real_poles, array_x;
if glob_type_given_pole = 4 then
rad_given := sqrt(
expt(array_x[1] - array_given_rad_poles[1, 1], 2.0)
+ expt(array_given_rad_poles[1, 2], 2.0));
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " ");
omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles[1, 1], 4, " ")
elif glob_type_given_pole = 3 then
omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1")
end if;
if array_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ", 4,
array_poles[1, 1], 4, " ");
omniout_str(ALWAYS, "Order of pole (ratio test) \
Not computed")
else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1")
end if;
if 0. < array_real_poles[1, 1] and
array_real_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4,
array_real_poles[1, 1], 4, " ");
omniout_float(ALWAYS,
"Order of pole (three term test) ", 4,
array_real_poles[1, 2], 4, " ")
else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1")
end if;
if 0. < array_complex_poles[1, 1] and
array_complex_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_complex_poles[1, 1], 4, " ");
omniout_float(ALWAYS,
"Order of pole (six term test) ", 4,
array_complex_poles[1, 2], 4, " ")
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")
end if
end proc
> # End Function number 3
> # Begin Function number 4
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 2
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 2;
> 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 4
> # Begin Function number 5
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 2
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> if (min_size < 1.0) then # if number 2
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 5
> # Begin Function number 6
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local max_estimated_step_error,hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms,est_tmp;
> max_estimated_step_error := 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,"");
> est_tmp := 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 (est_tmp >= max_estimated_step_error) then # if number 2
> max_estimated_step_error := est_tmp;
> fi;# end if 2;
> omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,"");
> max_estimated_step_error;
> end;
test_suggested_h := proc()
local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3,
no_terms, est_tmp;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
max_estimated_step_error := 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, "");
est_tmp := 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_estimated_step_error <= est_tmp then
max_estimated_step_error := est_tmp
end if;
omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, "");
max_estimated_step_error
end proc
> # End Function number 6
> # Begin Function number 7
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 2
> ret := true;
> else
> ret := false;
> fi;# end if 2;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 7
> # Begin Function number 8
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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 2
> if (iter >= 0) then # if number 3
> 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 4
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 5
> glob_good_digits := -trunc(log10(relerr)) + 3;
> else
> glob_good_digits := Digits;
> fi;# end if 5;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 4;
> if (glob_iter = 1) then # if number 4
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 4;
> 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 3;
> #BOTTOM DISPLAY ALOT
> fi;# end if 2;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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)) + 3
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 8
> # Begin Function number 9
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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 2
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 3
> glob_normmax := tmp;
> fi;# end if 3
> fi;# end if 2;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 2
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 3
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 3
> fi;# end if 2;
> if ( not glob_reached_optimal_h) then # if number 2
> 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 2;
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 9
> # Begin Function number 10
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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 2
> 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 2;
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 10
> # Begin Function number 11
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad;
> #TOP CHECK FOR POLE
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> tmp_rad := glob_large_float;
> prev_tmp_rad := glob_large_float;
> tmp_ratio := glob_large_float;
> rad_c := glob_large_float;
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> #TOP radius ratio test in Henrici1
> found_sing := 1;
> n := glob_max_terms - 1 - 10;
> cnt := 0;
> while ((cnt < 5) and (found_sing = 1)) do # do number 1
> if ((omniabs(array_y_higher[1,n]) = 0.0) or (omniabs(array_y_higher[1,n+1]) = 0.0)) then # if number 2
> found_sing := 0;
> else
> tmp_rad := omniabs(array_y_higher[1,n] * glob_h / array_y_higher[1,n + 1]);
> tmp_ratio := tmp_rad / prev_tmp_rad;
> if ((cnt > 0 ) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)) then # if number 3
> if (tmp_rad < rad_c) then # if number 4
> rad_c := tmp_rad;
> fi;# end if 4;
> elif
> (cnt = 0) then # if number 4
> if (tmp_rad < rad_c) then # if number 5
> rad_c := tmp_rad;
> fi;# end if 5;
> elif
> (cnt > 0) then # if number 5
> found_sing := 0;
> fi;# end if 5
> fi;# end if 4;
> prev_tmp_rad := tmp_rad;;
> cnt := cnt + 1;
> n := n + 1;
> od;# end do number 1;
> if (found_sing = 1) then # if number 4
> if (rad_c < array_pole[1]) then # if number 5
> array_pole[1] := rad_c;
> array_poles[1,1] := rad_c;
> fi;# end if 5;
> fi;# end if 4;
> #BOTTOM radius ratio test in Henrici1
> #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]) = 0.0) or (omniabs(array_y_higher[1,m-1]) = 0.0) or (omniabs(array_y_higher[1,m-2]) = 0.0))) do # do number 1
> m := m - 1;
> od;# end do number 1;
> if (m > 10) then # if number 4
> 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) > 0.0) then # if number 5
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_poles[1,1] := rcs;
> array_real_poles[1,2] := ord_no;
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 5
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 4;
> #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 1
> if (omniabs(array_y_higher[1,n]) <> 0.0) then # if number 4
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 4;
> n := n - 1;
> od;# end do number 1;
> m := n + cnt;
> if (m <= 10) then # if number 4
> 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) = 0.0) or (omniabs(dr1) = 0.0)) then # if number 5
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) <> 0.0) then # if number 6
> 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) <> 0.0) then # if number 7
> if (rcs > 0.0) then # if number 8
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 8
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> fi;# end if 5;
> array_complex_poles[1,1] := rad_c;
> array_complex_poles[1,2] := ord_no;
> fi;# end if 4;
> #BOTTOM RADII COMPLEX EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 4
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 1
> 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 1;
> glob_h := h_new;
> fi;# end if 4;
> #BOTTOM ADJUST ALL SERIES
> ;
> if (reached_interval()) then # if number 4
> display_poles();
> fi;# end if 4
> end;
check_for_pole := proc()
local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs,
rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test,
tmp_rad, tmp_ratio, prev_tmp_rad;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
tmp_rad := glob_large_float;
prev_tmp_rad := glob_large_float;
tmp_ratio := glob_large_float;
rad_c := glob_large_float;
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
n := glob_max_terms - 11;
cnt := 0;
while cnt < 5 and found_sing = 1 do
if omniabs(array_y_higher[1, n]) = 0. or
omniabs(array_y_higher[1, n + 1]) = 0. then found_sing := 0
else
tmp_rad := omniabs(
array_y_higher[1, n]*glob_h/array_y_higher[1, n + 1]);
tmp_ratio := tmp_rad/prev_tmp_rad;
if 0 < cnt and tmp_ratio < 2.0 and 0.5 < tmp_ratio then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif cnt = 0 then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif 0 < cnt then found_sing := 0
end if
end if;
prev_tmp_rad := tmp_rad;
cnt := cnt + 1;
n := n + 1
end do;
if found_sing = 1 then
if rad_c < array_pole[1] then
array_pole[1] := rad_c; array_poles[1, 1] := rad_c
end if
end if;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) = 0. or
omniabs(array_y_higher[1, m - 1]) = 0. or
omniabs(array_y_higher[1, m - 2]) = 0.) 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 0. < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_poles[1, 1] := rcs;
array_real_poles[1, 2] := ord_no
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if omniabs(array_y_higher[1, n]) <> 0. 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
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) = 0. or omniabs(dr1) = 0. then
rad_c := glob_large_float; ord_no := glob_large_float
else
if omniabs(nr1*dr2 - nr2*dr1) <> 0. 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 omniabs(rcs) <> 0. 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_poles[1, 1] := rad_c;
array_complex_poles[1, 2] := ord_no
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_poles() end if
end proc
> # End Function number 11
> # Begin Function number 12
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 4
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 1;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 5
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 5;
> iii := iii + 1;
> od;# end do number 1
> #BOTTOM GET NORMS
> ;
> fi;# end if 4;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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 12
> # Begin Function number 13
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_0D1[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
> #emit pre ln 1 LINEAR $eq_no = 1
> array_tmp3[1] := ln(array_tmp2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_0D1[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre ln 2 LINEAR $eq_no = 1
> array_tmp3[2] := array_tmp2[2] / array_tmp2[1];
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre ln ID_LINEAR iii = 3 $eq_no = 1
> array_tmp3[3] := - array_tmp2[2] * array_tmp3[2] * 1 / array_tmp2[1] / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre ln ID_LINEAR iii = 4 $eq_no = 1
> array_tmp3[4] := - array_tmp2[2] * array_tmp3[3] * 2 / array_tmp2[1] / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre ln ID_LINEAR iii = 5 $eq_no = 1
> array_tmp3[5] := - array_tmp2[2] * array_tmp3[4] * 3 / array_tmp2[1] / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit ln LINEAR $eq_no = 1
> array_tmp3[kkk] := - array_tmp2[2] * array_tmp3[kkk - 1] * (kkk - 2)/ array_tmp2[1] / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d < glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 1
> 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 1
> 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, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_tmp1[1] := array_const_0D1[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_0D2[1];
array_tmp3[1] := ln(array_tmp2[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_0D1[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp2[2]/array_tmp2[1];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := -1/2*array_tmp2[2]*array_tmp3[2]/array_tmp2[1];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := -2/3*array_tmp2[2]*array_tmp3[3]/array_tmp2[1];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := -3/4*array_tmp2[2]*array_tmp3[4]/array_tmp2[1];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := -array_tmp2[2]*array_tmp3[kkk - 1]*(kkk - 2)/(
array_tmp2[1]*(kkk - 1));
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d < glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 13
> #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
", 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
", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s
", 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
", prelabel, value, postlabel)
else printf("%-30s = %-32d %s
", 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, " |
")
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 Mi\
nutes %d Seconds
", years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(" = %d Days %d Hours %d Minutes %d\
Seconds
", days_int, hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(" = %d Hours %d Minutes %d Second\
s
", hours_int, minutes_int, sec_int)
elif 0 < minutes_int then printf(" = %d Minutes %d Seconds
", minutes_int, sec_int)
else printf(" = %d Seconds
", sec_int)
end if
else printf(" Unknown
")
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,m,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_int(ALWAYS,"m",4, m ,4," ");
> 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, m, 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_int(ALWAYS, "m", 4, m, 4, " ");
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
> 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 16
> # Begin Function number 17
> 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 17
> # Begin Function number 18
> 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 18
> # Begin Function number 19
> 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 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> 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 21
> # Begin Function number 22
> 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");
> elif
> (pole = 4) then # if number 9
> fprintf(file,"Yes");
> else
> fprintf(file,"No");
> fi;# end if 9
> 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")
elif pole = 4 then fprintf(file, "Yes")
else fprintf(file, "No")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file)
fprintf(file, "
")
end proc
> # End Function number 24
> # Begin Function number 25
> 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 9
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 9;
> if (glob_max_iter < 2) then # if number 9
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 9;
> if (errflag) then # if number 9
> quit;
> fi;# end if 9
> 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 25
> # Begin Function number 26
> 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 9
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 10
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 10
> fi;# end if 9;
> 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 26
> # Begin Function number 27
> 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 9
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 9;
> 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 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 9
> if (array_fact_1[nnn] = 0) then # if number 10
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 10;
> else
> ret := factorial_2(nnn);
> fi;# end if 9;
> 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 29
> # Begin Function number 30
> 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 9
> if (array_fact_2[mmm,nnn] = 0) then # if number 10
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 10;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 9;
> 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 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> 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 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0);
> end;
exact_soln_y :=
proc(x) return 10.0*(0.1*x + 0.2)*ln(0.1*x + 0.2) - x - 2.0 end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local d1,d2,d3,d4,est_err_2,niii,done_once,
> term,ord,order_diff,term_no,html_log_file,iiif,jjjf,
> rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter,
> x_start,x_end
> ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,estimated_step_error,min_value,est_answer,best_h,found_h,repeat_it;
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> 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_min_h,
> glob_type_given_pole,
> 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_0D2,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> 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;
> glob_yes_pole := 4;
> glob_no_pole := 3;
> glob_not_given := 0;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_estimated_step_error := 0.0;
> glob_ratio_of_radius := 0.1;
> 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_min_h := 0.000001;
> glob_type_given_pole := 0;
> 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 := 0.0;
> glob_smallish_float := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_lnpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;");
> 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 := 20.0;");
> omniout_str(ALWAYS,"x_end := 30.0 ;");
> 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 := 20;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.01;");
> 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(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0);");
> omniout_str(ALWAYS,"end;");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"");
> omniout_str(ALWAYS,"#END USER DEF BLOCK");
> omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################");
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_small_float := 0.0;
> glob_smallish_float := 0.0;
> 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..(4 + 1),[]);
> array_real_pole:= Array(0..(4 + 1),[]);
> array_complex_pole:= Array(0..(4 + 1),[]);
> array_1st_rel_error:= Array(0..(2 + 1),[]);
> array_last_rel_error:= Array(0..(2 + 1),[]);
> array_type_pole:= Array(0..(2 + 1),[]);
> array_type_real_pole:= Array(0..(2 + 1),[]);
> array_type_complex_pole:= Array(0..(2 + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_rad_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_ord_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_poles := Array(0..(2+ 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 1
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_rad_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_ord_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_real_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_complex_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=max_terms) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> 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 1
> array_const_0D1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D1[1] := 0.1;
> array_const_0D2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D2[1] := 0.2;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 1
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 2
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 2;
> iiif := iiif + 1;
> od;# end do number 1;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 20.0;
> x_end := 30.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 20;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.01;
> 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);
> found_h := false;
> glob_h := glob_min_h;
> if (glob_max_h < glob_h) then # if number 4
> glob_h := glob_max_h;
> fi;# end if 4;
> if (glob_display_interval < glob_h) then # if number 4
> glob_h := glob_display_interval;
> fi;# end if 4;
> best_h := glob_h;
> min_value := glob_large_float;
> est_answer := est_size_answer();
> opt_iter := 1;
> 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,"");
> estimated_step_error := 0.0;
> while ((opt_iter <= 100) and ( not found_h)) do # do number 1
> 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 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
> ;
> atomall();
> estimated_step_error := test_suggested_h();
> omniout_float(ALWAYS,"estimated_step_error",32,estimated_step_error,32,"");
> if (((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h )) then # if number 4
> found_h := true;
> glob_h := glob_max_h;
> best_h := glob_h;
> elif
> ((estimated_step_error > est_needed_step_err) and ( not found_h)) then # if number 5
> glob_h := glob_h/2.0;
> best_h := glob_h;
> found_h := true;
> else
> glob_h := glob_h*2.0;
> best_h := glob_h;
> fi;# end if 5;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> od;# end do number 1;
> if (( not found_h) and (opt_iter = 1)) then # if number 5
> omniout_str(ALWAYS,"Beginning glob_h too large.");
> found_h := false;
> fi;# end if 5;
> if (opt_iter > 100) then # if number 5
> glob_h := glob_max_h;
> found_h := false;
> fi;# end if 5;
> if (glob_display_interval < glob_h) then # if number 5
> glob_h := glob_display_interval;
> fi;# end if 5;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 5
> html_log_file := fopen("entry.html",WRITE,TEXT);
> fi;# end if 5;
> #BEGIN SOLUTION CODE
> if (found_h) then # if number 5
> 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 1
> 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 1;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 1
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 2
> 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 2;
> r_order := r_order + 1;
> od;# end do number 1
> ;
> 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 1
> #left paren 0001C
> if (reached_interval()) then # if number 6
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 6;
> 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 6
> #left paren 0004C
> check_for_pole();
> fi;# end if 6;#was right paren 0004C
> if (reached_interval()) then # if number 6
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 6;
> 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 2
> 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 2;
> #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 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> 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 2
> 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 2;
> #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 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> 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 2
> 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 2;
> #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 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> 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 2
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 3
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 3;
> term_no := term_no - 1;
> od;# end do number 2;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 1;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 6
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 6;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 6;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 6
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-05-26T02:38:14-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_ln")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;")
> ;
> 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_time(html_log_file,convfloat(glob_clock_sec))
> ;
> if (glob_percent_done < 100.0) then # if number 7
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 7;
> log_revs(html_log_file," 189 | ")
> ;
> logitem_str(html_log_file,"lin_ln diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_ln maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 6;
> if (glob_html_log) then # if number 6
> fclose(html_log_file);
> fi;# end if 6
> ;
> ;;
> fi;# end if 5
> #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, estimated_step_error, min_value, est_answer,
best_h, found_h, repeat_it;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
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_min_h, glob_type_given_pole, 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_0D2, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, 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;
glob_yes_pole := 4;
glob_no_pole := 3;
glob_not_given := 0;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_estimated_step_error := 0.;
glob_ratio_of_radius := 0.1;
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_min_h := 0.1*10^(-5);
glob_type_given_pole := 0;
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.;
glob_smallish_float := 0.;
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
glob_orig_start_sec := elapsed_time_seconds();
MAX_UNCHANGED := 10;
glob_curr_iter_when_opt := 0;
glob_display_flag := true;
glob_no_eqs := 1;
glob_iter := -1;
opt_iter := -1;
glob_max_iter := 50000;
glob_max_hours := 0.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_lnpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;");
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 := 20.0;");
omniout_str(ALWAYS, "x_end := 30.0 ;");
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 := 20;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.01;");
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(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0);");
omniout_str(ALWAYS, "end;");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "");
omniout_str(ALWAYS, "#END USER DEF BLOCK");
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################");
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_small_float := 0.;
glob_smallish_float := 0.;
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 .. 5, []);
array_real_pole := Array(0 .. 5, []);
array_complex_pole := Array(0 .. 5, []);
array_1st_rel_error := Array(0 .. 3, []);
array_last_rel_error := Array(0 .. 3, []);
array_type_pole := Array(0 .. 3, []);
array_type_real_pole := Array(0 .. 3, []);
array_type_complex_pole := Array(0 .. 3, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_given_rad_poles := Array(0 .. 3, 0 .. 4, []);
array_given_ord_poles := Array(0 .. 3, 0 .. 4, []);
array_real_poles := Array(0 .. 3, 0 .. 4, []);
array_complex_poles := Array(0 .. 3, 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 <= 4 do array_pole[term] := 0.; term := term + 1 end do;
term := 1;
while term <= 4 do array_real_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 4 do array_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_type_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 2 do array_type_real_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do
array_type_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 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 <= 2 do
term := 1;
while term <= 3 do
array_given_rad_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_given_ord_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_complex_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_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_0D2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D2[term] := 0.; term := term + 1
end do;
array_const_0D2[1] := 0.2;
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 := 20.0;
x_end := 30.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 20;
glob_desired_digits_correct := 10;
glob_display_interval := 0.01;
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);
found_h := false;
glob_h := glob_min_h;
if glob_max_h < glob_h then glob_h := glob_max_h end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
best_h := glob_h;
min_value := glob_large_float;
est_answer := est_size_answer();
opt_iter := 1;
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, "");
estimated_step_error := 0.;
while opt_iter <= 100 and not found_h 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();
estimated_step_error := test_suggested_h();
omniout_float(ALWAYS, "estimated_step_error", 32,
estimated_step_error, 32, "");
if est_needed_step_err < estimated_step_error and opt_iter = 1 or
glob_max_h <= glob_h then
found_h := true; glob_h := glob_max_h; best_h := glob_h
elif est_needed_step_err < estimated_step_error and not found_h
then glob_h := glob_h/2.0; best_h := glob_h; found_h := true
else glob_h := glob_h*2.0; best_h := glob_h
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1
end do;
if not found_h and opt_iter = 1 then
omniout_str(ALWAYS, "Beginning glob_h too large.");
found_h := false
end if;
if 100 < opt_iter then glob_h := glob_max_h; found_h := false end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT)
end if;
if 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 ) = ln (0.1 * x + 0.2) ;");
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, "2013-05-26T02:38:14-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_ln");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;");
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_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, " 189 | ");
logitem_str(html_log_file,
"lin_ln diffeq.mxt");
logitem_str(html_log_file,
"lin_ln 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 13
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_lnpostode.ode#################
diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 20.0;
x_end := 30.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 20;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.01;
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(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 10
estimated_steps = 10000000
step_error = 1.0000000000000000000000000000000e-17
est_needed_step_err = 1.0000000000000000000000000000000e-17
opt_iter = 1
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.2317462075127271754888336638873e-193
estimated_step_error = 4.2317462075127271754888336638873e-193
best_h = 2.0e-06
opt_iter = 2
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.8398767474631590651374829370465e-185
estimated_step_error = 2.8398767474631590651374829370465e-185
best_h = 4.00e-06
opt_iter = 3
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.9058089440118641300262641163535e-177
estimated_step_error = 1.9058089440118641300262641163535e-177
best_h = 8.000e-06
opt_iter = 4
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.2789666246796438930785001761984e-169
estimated_step_error = 1.2789666246796438930785001761984e-169
best_h = 1.60000e-05
opt_iter = 5
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 8.5829982826675660653657113497235e-162
estimated_step_error = 8.5829982826675660653657113497235e-162
best_h = 3.200000e-05
opt_iter = 6
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.7599507052610292315640890925756e-154
estimated_step_error = 5.7599507052610292315640890925756e-154
best_h = 6.4000000e-05
opt_iter = 7
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.8654348822759801253117650709981e-146
estimated_step_error = 3.8654348822759801253117650709981e-146
best_h = 0.000128
opt_iter = 8
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.5940459444953215373498723535153e-138
estimated_step_error = 2.5940459444953215373498723535153e-138
best_h = 0.000256
opt_iter = 9
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.7408300758970383280085650572094e-130
estimated_step_error = 1.7408300758970383280085650572094e-130
best_h = 0.000512
opt_iter = 10
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.1682449945633084430380232741949e-122
estimated_step_error = 1.1682449945633084430380232741949e-122
best_h = 0.001024
opt_iter = 11
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.8398749767675357910744632558446e-115
estimated_step_error = 7.8398749767675357910744632558446e-115
best_h = 0.002048
opt_iter = 12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.2611376670765013831649522855211e-107
estimated_step_error = 5.2611376670765013831649522855211e-107
best_h = 0.004096
opt_iter = 13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.5305375706185376552541018751074e-99
estimated_step_error = 3.5305375706185376552541018751074e-99
best_h = 0.008192
opt_iter = 14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.3690994692900617090833537567727e-91
estimated_step_error = 2.3690994692900617090833537567727e-91
best_h = 0.016384
opt_iter = 15
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.5896017562085845425576235979981e-83
estimated_step_error = 1.5896017562085845425576235979981e-83
best_h = 0.032768
opt_iter = 16
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.0663961355522221857153611828154e-75
estimated_step_error = 1.0663961355522221857153611828154e-75
best_h = 0.065536
opt_iter = 17
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.1515353378326243150806186443036e-68
estimated_step_error = 7.1515353378326243150806186443036e-68
best_h = 0.131072
opt_iter = 18
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.7927136443200482826630617622783e-60
estimated_step_error = 4.7927136443200482826630617622783e-60
best_h = 0.1
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 20
y[1] (analytic) = -4.653938071986056271853946615743
y[1] (numeric) = -4.653938071986056271853946615743
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.01
y[1] (analytic) = -4.646051225999415219345774709019
y[1] (numeric) = -4.6460512259994152193457747090191
absolute error = 1e-31
relative error = 2.1523654203465854471529329129402e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.02
y[1] (analytic) = -4.638159836623249387277872764637
y[1] (numeric) = -4.6381598366232493872778727646371
absolute error = 1e-31
relative error = 2.1560274661169001599686090232265e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.03
y[1] (analytic) = -4.630263905920860245762876704971
y[1] (numeric) = -4.6302639059208602457628767049709
absolute error = 1e-31
relative error = 2.1597041125912269875477318337151e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.04
y[1] (analytic) = -4.622363435953676090439722877789
y[1] (numeric) = -4.6223634359536760904397228777886
absolute error = 4e-31
relative error = 8.6535817778567396360068251710812e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.05
y[1] (analytic) = -4.614458428781254592167020495606
y[1] (numeric) = -4.6144584287812545921670204956053
absolute error = 7e-31
relative error = 1.5169710829638574815761474036165e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.06
y[1] (analytic) = -4.606548886461285342091129181895
y[1] (numeric) = -4.6065488864612853420911291818945
absolute error = 5e-31
relative error = 1.0854112532475392249068921784698e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.07
y[1] (analytic) = -4.598634811049592392099425068955
y[1] (numeric) = -4.5986348110495923920994250689543
absolute error = 7e-31
relative error = 1.5221908865605964536555402148582e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=4000064, alloc=3079628, time=0.15
x[1] = 20.08
y[1] (analytic) = -4.590716204600136790669210391691
y[1] (numeric) = -4.5907162046001367906692103916908
absolute error = 2e-31
relative error = 4.3566186861995429163529043358989e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.09
y[1] (analytic) = -4.582793069165019114122693111398
y[1] (numeric) = -4.5827930691650191141226931113979
absolute error = 1e-31
relative error = 2.1820753957415736528089351797960e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.1
y[1] (analytic) = -4.574865406794481993298434783459
y[1] (numeric) = -4.574865406794481993298434783459
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.14
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.11
y[1] (analytic) = -4.566933219536912635649636652446
y[1] (numeric) = -4.5669332195369126356496366524457
absolute error = 3e-31
relative error = 6.5689596405007214461619365268920e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.12
y[1] (analytic) = -4.558996509438845342779605817013
y[1] (numeric) = -4.5589965094388453427796058170125
absolute error = 5e-31
relative error = 1.0967325791208900474677094887384e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.13
y[1] (analytic) = -4.551055278544964023424715254968
y[1] (numeric) = -4.5510552785449640234247152549675
absolute error = 5e-31
relative error = 1.0986462905804497013988234150719e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 18.79
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.14
y[1] (analytic) = -4.543109528898104701895143535609
y[1] (numeric) = -4.5431095288981047018951435356089
absolute error = 1e-31
relative error = 2.2011355738600079358702315391234e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.15
y[1] (analytic) = -4.535159262539258021983652171543
y[1] (numeric) = -4.5351592625392580219836521715429
absolute error = 1e-31
relative error = 2.2049942286703622215068864423500e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.16
y[1] (analytic) = -4.527204481507571746352630775412
y[1] (numeric) = -4.5272044815075717463526307754114
absolute error = 6e-31
relative error = 1.3253211831955916489488203991597e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.17
y[1] (analytic) = -4.519245187840353251409612487949
y[1] (numeric) = -4.519245187840353251409612487949
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.18
y[1] (analytic) = -4.511281383573072017681434532236
y[1] (numeric) = -4.5112813835730720176814345322353
absolute error = 7e-31
relative error = 1.5516655701169735439147739242879e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.19
y[1] (analytic) = -4.503313070739362115697191224598
y[1] (numeric) = -4.5033130707393621156971912245977
absolute error = 3e-31
relative error = 6.6617620247029695261991652248920e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.2
y[1] (analytic) = -4.495340251371024687390099335036
y[1] (numeric) = -4.495340251371024687390099335036
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 15.92
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.21
y[1] (analytic) = -4.487362927498030423028368338973
y[1] (numeric) = -4.4873629274980304230283683389727
absolute error = 3e-31
relative error = 6.6854409783000925972230853185478e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.22
y[1] (analytic) = -4.479381101148522033685140837267
y[1] (numeric) = -4.4793811011485220336851408372672
absolute error = 2e-31
relative error = 4.4649025274656717797351962872381e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.23
y[1] (analytic) = -4.471394774348816719257541242461
y[1] (numeric) = -4.4713947743488167192575412424607
absolute error = 3e-31
relative error = 6.7093158877632302845214919539363e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 6.471
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.24
y[1] (analytic) = -4.463403949123408632044843735829
y[1] (numeric) = -4.4634039491234086320448437358293
absolute error = 3e-31
relative error = 6.7213275656781765686416380055127e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.25
y[1] (analytic) = -4.455408627494971335895743491712
y[1] (numeric) = -4.4554086274949713358957434917118
absolute error = 2e-31
relative error = 4.4889260833623892562842296119384e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.05
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.26
y[1] (analytic) = -4.447408811484360260934688242435
y[1] (numeric) = -4.4474088114843602609346882424354
absolute error = 4e-31
relative error = 8.9940011578673969696212978572447e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.27
y[1] (analytic) = -4.439404503110615153877200418682
y[1] (numeric) = -4.4394045031106151538772004186825
absolute error = 5e-31
relative error = 1.1262771834593097172526944588427e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.28
y[1] (analytic) = -4.431395704390962523944093346025
y[1] (numeric) = -4.4313957043909625239440933460248
absolute error = 2e-31
relative error = 4.5132507530714273794373418807662e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 44.81
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.29
y[1] (analytic) = -4.423382417340818084384458308287
y[1] (numeric) = -4.423382417340818084384458308287
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 22.89
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.3
y[1] (analytic) = -4.415364643973789189617272702097
y[1] (numeric) = -4.4153646439737891896172727020966
absolute error = 4e-31
relative error = 9.0592744258604093954830603338859e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.31
y[1] (analytic) = -4.407342386301677268001453004124
y[1] (numeric) = -4.4073423863016772680014530041236
absolute error = 4e-31
relative error = 9.0757641440163002276010640933082e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.32
y[1] (analytic) = -4.399315646334480250244149852818
y[1] (numeric) = -4.3993156463344802502441498528185
absolute error = 5e-31
relative error = 1.1365404080896107812241301473863e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.33
y[1] (analytic) = -4.391284426080394993457056209616
y[1] (numeric) = -4.3912844260803949934570562096165
absolute error = 5e-31
relative error = 1.1386190268852470661583788864985e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.34
y[1] (analytic) = -4.383248727545819700870473310299
y[1] (numeric) = -4.3832487275458197008704733102984
absolute error = 6e-31
relative error = 1.3688477138643690639646694263524e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.35
y[1] (analytic) = -4.375208552735356337214852945186
y[1] (numeric) = -4.3752085527353563372148529451858
absolute error = 2e-31
relative error = 4.5712106654884165321472811996926e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=8001508, alloc=4193536, time=0.30
TOP MAIN SOLVE Loop
x[1] = 20.36
y[1] (analytic) = -4.367163903651813039779508516804
y[1] (numeric) = -4.3671639036518130397795085168038
absolute error = 2e-31
relative error = 4.5796311842740876118450726333566e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.37
y[1] (analytic) = -4.359114782296206525158161315281
y[1] (numeric) = -4.3591147822962065251581613152809
absolute error = 1e-31
relative error = 2.2940437449853985684144483117882e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.38
y[1] (analytic) = -4.351061190667764491690962524773
y[1] (numeric) = -4.3510611906677644916909625247728
absolute error = 2e-31
relative error = 4.5965798051510664282099775666385e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.39
y[1] (analytic) = -4.343003130763928017612605628314
y[1] (numeric) = -4.3430031307639280176126056283141
absolute error = 1e-31
relative error = 2.3025541771232880396345885559973e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.4
y[1] (analytic) = -4.334940604580353954916118113417
y[1] (numeric) = -4.3349406045803539549161181134164
absolute error = 6e-31
relative error = 1.3841020090702795071165682118845e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.41
y[1] (analytic) = -4.326873614110917318941895696169
y[1] (numeric) = -4.3268736141109173189418956961687
absolute error = 3e-31
relative error = 6.9334125919840108517158906174816e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.42
y[1] (analytic) = -4.318802161347713673701516677257
y[1] (numeric) = -4.3188021613477136737015166772566
absolute error = 4e-31
relative error = 9.2618273552770726200225699097501e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.43
y[1] (analytic) = -4.310726248281061512945848518924
y[1] (numeric) = -4.3107262482810615129458485189234
absolute error = 6e-31
relative error = 1.3918768333740864797725848424149e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.44
y[1] (analytic) = -4.302645876899504636986933287157
y[1] (numeric) = -4.3026458768995046369869332871563
absolute error = 7e-31
relative error = 1.6269059086601415187483029940019e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.45
y[1] (analytic) = -4.294561049189814525283113238018
y[1] (numeric) = -4.2945610491898145252831132380177
absolute error = 3e-31
relative error = 6.9855800526248463719263406364915e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.46
y[1] (analytic) = -4.286471767136992704796832540766
y[1] (numeric) = -4.2864717671369927047968325407656
absolute error = 4e-31
relative error = 9.3316839986366408204823817728568e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.47
y[1] (analytic) = -4.278378032724273114134525922943
y[1] (numeric) = -4.2783780327242731141345259229424
absolute error = 6e-31
relative error = 1.4024006186707811089123336233214e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.48
y[1] (analytic) = -4.270279847933124463477979893672
y[1] (numeric) = -4.2702798479331244634779798936714
absolute error = 6e-31
relative error = 1.4050601397714214046734574495925e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.49
y[1] (analytic) = -4.262177214743252590316527150712
y[1] (numeric) = -4.262177214743252590316527150712
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.5
y[1] (analytic) = -4.254070135132602810989409804104
y[1] (numeric) = -4.2540701351326028109894098041041
absolute error = 1e-31
relative error = 2.3506899703919178338044535297333e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.51
y[1] (analytic) = -4.245958611077362268047622154207
y[1] (numeric) = -4.2459586110773622680476221542073
absolute error = 3e-31
relative error = 7.0655422598167652336058660261989e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 68.24
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.52
y[1] (analytic) = -4.237842644551962273444518944328
y[1] (numeric) = -4.2378426445519622734445189443276
absolute error = 4e-31
relative error = 9.4387648044041339634159819078791e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.53
y[1] (analytic) = -4.22972223752908064756445026766
y[1] (numeric) = -4.2297222375290806475644502676594
absolute error = 6e-31
relative error = 1.4185328641119186838140860471647e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.54
y[1] (analytic) = -4.221597391979644054098659644669
y[1] (numeric) = -4.2215973919796440540986596446688
absolute error = 2e-31
relative error = 4.7375431958520683994680722031347e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.55
y[1] (analytic) = -4.21346810987283033077765720004
y[1] (numeric) = -4.2134681098728303307776572000393
absolute error = 7e-31
relative error = 1.6613392619723119168003172609308e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.56
y[1] (analytic) = -4.20533439317607081596925535762
y[1] (numeric) = -4.2053343931760708159692553576193
absolute error = 7e-31
relative error = 1.6645525291303323183727460339879e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.57
y[1] (analytic) = -4.197196243855052671151430037182
y[1] (numeric) = -4.1971962438550526711514300371822
absolute error = 2e-31
relative error = 4.7650857472488213850593802843118e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.58
y[1] (analytic) = -4.189053663873721199269145977963
y[1] (numeric) = -4.1890536638737211992691459779628
absolute error = 2e-31
relative error = 4.7743480042949621521616568405374e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 62.34
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.59
y[1] (analytic) = -4.180906655194282158984260530603
y[1] (numeric) = -4.180906655194282158984260530603
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.6
y[1] (analytic) = -4.172755219777204074827596051056
y[1] (numeric) = -4.1727552197772040748275960510562
absolute error = 2e-31
relative error = 4.7929962211078032100405709915310e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.61
y[1] (analytic) = -4.164599359581220543262246896894
y[1] (numeric) = -4.1645993595812205432622468968942
absolute error = 2e-31
relative error = 4.8023827199577582479652215804052e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.62
y[1] (analytic) = -4.156439076563332534667162968076
y[1] (numeric) = -4.1564390765633325346671629680754
absolute error = 6e-31
relative error = 1.4435433527299474999461544349639e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.63
y[1] (analytic) = -4.148274372678810691250027750294
y[1] (numeric) = -4.1482743726788106912500277502936
absolute error = 4e-31
relative error = 9.6425637280519121482880151483765e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=12002404, alloc=4259060, time=0.46
x[1] = 20.64
y[1] (analytic) = -4.140105249881197620898424909281
y[1] (numeric) = -4.1401052498811976208984249092806
absolute error = 4e-31
relative error = 9.6615901253109011885123500348928e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.65
y[1] (analytic) = -4.131931710122310186978263648611
y[1] (numeric) = -4.1319317101223101869782636486107
absolute error = 3e-31
relative error = 7.2605265780425891009411087750212e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.66
y[1] (analytic) = -4.1237537553522417940884092814
y[1] (numeric) = -4.1237537553522417940884092813999
absolute error = 1e-31
relative error = 2.4249750574997227095890584320366e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 27.26
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.67
y[1] (analytic) = -4.115571387519364669780441777537
y[1] (numeric) = -4.115571387519364669780441777537
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.68
y[1] (analytic) = -4.107384608570332142252441432478
y[1] (numeric) = -4.1073846085703321422524414324783
absolute error = 3e-31
relative error = 7.3039179085890806484607681366679e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.69
y[1] (analytic) = -4.099193420450080914025677260917
y[1] (numeric) = -4.0991934204500809140256772609171
absolute error = 1e-31
relative error = 2.4395043059231944396077102515085e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.7
y[1] (analytic) = -4.09099782510183333161305024855
y[1] (numeric) = -4.0909978251018333316130502485497
absolute error = 3e-31
relative error = 7.3331742725268348028343149546181e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.71
y[1] (analytic) = -4.082797824467099651188120197447
y[1] (numeric) = -4.0827978244670996511881201974464
absolute error = 6e-31
relative error = 1.4695804832763522774104297024310e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.72
y[1] (analytic) = -4.074593420485680300263521574941
y[1] (numeric) = -4.0745934204856803002635215749412
absolute error = 2e-31
relative error = 4.9084651978886411564608080373936e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.73
y[1] (analytic) = -4.066384615095668135387550522224
y[1] (numeric) = -4.0663846150956681353875505222242
absolute error = 2e-31
relative error = 4.9183739102675776621946335778848e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.74
y[1] (analytic) = -4.058171410233450695867681996707
y[1] (numeric) = -4.0581714102334506958676819967066
absolute error = 4e-31
relative error = 9.8566561035673347207612826490597e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.75
y[1] (analytic) = -4.049953807833712453529752911473
y[1] (numeric) = -4.0499538078337124535297529114729
absolute error = 1e-31
relative error = 2.4691639644524536309184361229000e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.34
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.76
y[1] (analytic) = -4.041731809829437058521524095489
y[1] (numeric) = -4.0417318098294370585215240954891
absolute error = 1e-31
relative error = 2.4741869254363031573265130626662e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.77
y[1] (analytic) = -4.033505418151909581169310929453
y[1] (numeric) = -4.0335054181519095811693109294528
absolute error = 2e-31
relative error = 4.9584661297328054034090491409196e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.92
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.78
y[1] (analytic) = -4.025274634730718749896349613997
y[1] (numeric) = -4.0252746347307187498963496139966
absolute error = 4e-31
relative error = 9.9372101607362510743632165308322e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.79
y[1] (analytic) = -4.017039461493759185211543199146
y[1] (numeric) = -4.0170394614937591852115431991457
absolute error = 3e-31
relative error = 7.4681865307950765743166797131220e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.8
y[1] (analytic) = -4.008799900367233629777208746238
y[1] (numeric) = -4.0087999003672336297772087462373
absolute error = 7e-31
relative error = 1.7461584948050791654096837000954e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.81
y[1] (analytic) = -4.000555953275655174564424305684
y[1] (numeric) = -4.0005559532756551745644243056842
absolute error = 2e-31
relative error = 4.9993051549807721598945847671306e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.82
y[1] (analytic) = -3.992307622141849481104551775767
y[1] (numeric) = -3.9923076221418494811045517757669
absolute error = 1e-31
relative error = 2.5048169997068159314126440186116e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 24.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.83
y[1] (analytic) = -3.984054908886956999845489158821
y[1] (numeric) = -3.9840549088869569998454891588206
absolute error = 4e-31
relative error = 1.0040022267457899195016224005738e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.84
y[1] (analytic) = -3.975797815430435184621183251502
y[1] (numeric) = -3.9757978154304351846211832515018
absolute error = 2e-31
relative error = 5.0304368905224932742971336451647e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.85
y[1] (analytic) = -3.967536343690060703242911395038
y[1] (numeric) = -3.9675363436900607032429113950375
absolute error = 5e-31
relative error = 1.2602279013655316750144165811827e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.86
y[1] (analytic) = -3.959270495581931644220818569227
y[1] (numeric) = -3.9592704955819316442208185692273
absolute error = 3e-31
relative error = 7.5771534259850095562372368021912e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.87
y[1] (analytic) = -3.951000273020469719624173840255
y[1] (numeric) = -3.9510002730204697196241738402552
absolute error = 2e-31
relative error = 5.0620092680252725686279782298036e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.88
y[1] (analytic) = -3.942725677918422464088787966826
y[1] (numeric) = -3.9427256779184224640887879668257
absolute error = 3e-31
relative error = 7.6089493540008642059962760363700e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.019
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.89
y[1] (analytic) = -3.934446712186865429980011831536
y[1] (numeric) = -3.9344467121868654299800118315356
absolute error = 4e-31
relative error = 1.0166613739131564924393995524003e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 25.36
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.9
y[1] (analytic) = -3.926163377735204378719713294487
y[1] (numeric) = -3.9261633777352043787197132944871
absolute error = 1e-31
relative error = 2.5470157601460971654497887545506e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 80.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 20.91
y[1] (analytic) = -3.917875676471177468285608063706
y[1] (numeric) = -3.9178756764711774682856080637058
absolute error = 2e-31
relative error = 5.1048072097106355099263807382244e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 45.51
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
bytes used=16003644, alloc=4324584, time=0.62
x[1] = 20.92
y[1] (analytic) = -3.909583610300857436891298241712
y[1] (numeric) = -3.9095836103008574368912982417115
absolute error = 5e-31
relative error = 1.2789085740041842574654122584955e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.93
y[1] (analytic) = -3.901287181128653782855350339367
y[1] (numeric) = -3.9012871811286537828553503393668
absolute error = 2e-31
relative error = 5.1265131407767683359328182667083e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.94
y[1] (analytic) = -3.892986390857314940667722746664
y[1] (numeric) = -3.8929863908573149406677227466642
absolute error = 2e-31
relative error = 5.1374441089673556265725629104431e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.95
y[1] (analytic) = -3.884681241387930453261830915173
y[1] (numeric) = -3.8846812413879304532618309151732
absolute error = 2e-31
relative error = 5.1484275690157632059793522485482e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.96
y[1] (analytic) = -3.876371734619933140500516838226
y[1] (numeric) = -3.8763717346199331405005168382254
absolute error = 6e-31
relative error = 1.5478391678522241550540787369176e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.97
y[1] (analytic) = -3.868057872451101263884167812333
y[1] (numeric) = -3.868057872451101263884167812333
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.98
y[1] (analytic) = -3.859739656777560687489207926588
y[1] (numeric) = -3.8597396567775606874892079265877
absolute error = 3e-31
relative error = 7.7725449558031990229718460909478e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 20.99
y[1] (analytic) = -3.851417089493787035145164255642
y[1] (numeric) = -3.8514170894937870351451642556421
absolute error = 1e-31
relative error = 2.5964469097046965350225909768858e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21
y[1] (analytic) = -3.843090172492607843858488326106
y[1] (numeric) = -3.8430901724926078438584883261058
absolute error = 2e-31
relative error = 5.2041453888208161358975480698492e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.01
y[1] (analytic) = -3.834758907665204713491292085566
y[1] (numeric) = -3.8347589076652047134912920855661
absolute error = 1e-31
relative error = 2.6077258677230652981171750375043e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.02
y[1] (analytic) = -3.826423296901115452703136327745
y[1] (numeric) = -3.8264232969011154527031363277448
absolute error = 2e-31
relative error = 5.2268132530442439082642161234772e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.84
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.03
y[1] (analytic) = -3.818083342088236221163988316297
y[1] (numeric) = -3.8180833420882362211639883162967
absolute error = 3e-31
relative error = 7.8573455087525686399560625564320e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.83
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.04
y[1] (analytic) = -3.809739045112823668046444203222
y[1] (numeric) = -3.8097390451128236680464442032222
absolute error = 2e-31
relative error = 5.2497033952118652806038386890559e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.05
y[1] (analytic) = -3.801390407859497066805290755582
y[1] (numeric) = -3.8013904078594970668052907555824
absolute error = 4e-31
relative error = 1.0522465652909186087648570181968e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.06
y[1] (analytic) = -3.793037432211240446252459885941
y[1] (numeric) = -3.7930374322112404462524598859414
absolute error = 4e-31
relative error = 1.0545638084220291634884232127156e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.07
y[1] (analytic) = -3.784680120049404717935408527503
y[1] (numeric) = -3.784680120049404717935408527503
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 6.75
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.08
y[1] (analytic) = -3.776318473253709799826935504028
y[1] (numeric) = -3.7763184732537097998269355040285
absolute error = 5e-31
relative error = 1.3240408708675344436950819840877e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.09
y[1] (analytic) = -3.767952493702246736334426217108
y[1] (numeric) = -3.7679524937022467363344262171078
absolute error = 2e-31
relative error = 5.3079225477040877102584243365837e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.32
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.1
y[1] (analytic) = -3.759582183271479814636495208975
y[1] (numeric) = -3.7595821832714798146364952089753
absolute error = 3e-31
relative error = 7.9796101102636002481539940601930e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.11
y[1] (analytic) = -3.751207543836248677354975957611
y[1] (numeric) = -3.7512075438362486773549759576109
absolute error = 1e-31
relative error = 2.6658082452492875521039369787533e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.12
y[1] (analytic) = -3.742828577269770431570186622115
y[1] (numeric) = -3.7428285772697704315701866221149
absolute error = 1e-31
relative error = 2.6717761162587259480727124935331e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.13
y[1] (analytic) = -3.734445285443641754187379880084
y[1] (numeric) = -3.7344452854436417541873798800841
absolute error = 1e-31
relative error = 2.6777738688470375335831365285248e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.9
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.14
y[1] (analytic) = -3.726057670227840993662264484725
y[1] (numeric) = -3.7260576702278409936622644847245
absolute error = 5e-31
relative error = 1.3419008621233336880096035338732e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.15
y[1] (analytic) = -3.717665733490730268093465717504
y[1] (numeric) = -3.7176657334907302680934657175036
absolute error = 4e-31
relative error = 1.0759439623540790591299879509593e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.16
y[1] (analytic) = -3.70926947709905755968977152205
y[1] (numeric) = -3.7092694770990575596897715220494
absolute error = 6e-31
relative error = 1.6175691836475777152166437427706e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.17
y[1] (analytic) = -3.700868902917958805619990776541
y[1] (numeric) = -3.7008689029179588056199907765409
absolute error = 1e-31
relative error = 2.7020681527290730131939716344412e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.18
y[1] (analytic) = -3.692464012810959985253229894784
y[1] (numeric) = -3.6924640128109599852532298947839
absolute error = 1e-31
relative error = 2.7082186760128518274745194434153e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.19
y[1] (analytic) = -3.684054808639979203797373740321
y[1] (numeric) = -3.6840548086399792037973737403209
absolute error = 1e-31
relative error = 2.7144004417490306149924726711688e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.2
y[1] (analytic) = -3.675641292265328772343536693069
y[1] (numeric) = -3.675641292265328772343536693069
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 22.91
Order of pole (six term test) = -0.5
bytes used=20004700, alloc=4324584, time=0.78
TOP MAIN SOLVE Loop
x[1] = 21.21
y[1] (analytic) = -3.667223465545717284324229623908
y[1] (numeric) = -3.6672234655457172843242296239077
absolute error = 3e-31
relative error = 8.1805759266801916367766035842925e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.51
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.22
y[1] (analytic) = -3.65880133033825168839296850914
y[1] (numeric) = -3.6588013303382516883929685091402
absolute error = 2e-31
relative error = 5.4662711074697856220262834540661e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.23
y[1] (analytic) = -3.650374888498439357733030453614
y[1] (numeric) = -3.6503748884984393577330304536137
absolute error = 3e-31
relative error = 8.2183339838666068775142173852405e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.24
y[1] (analytic) = -3.641944141880190155803042988307
y[1] (numeric) = -3.6419441418801901558030429883068
absolute error = 2e-31
relative error = 5.4915724187012927657035186515885e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 70.12
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.25
y[1] (analytic) = -3.633509092335818498527072665158
y[1] (numeric) = -3.6335090923358184985270726651581
absolute error = 1e-31
relative error = 2.7521604448694120982533525149087e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.26
y[1] (analytic) = -3.625069741716045412936859188623
y[1] (numeric) = -3.6250697417160454129368591886228
absolute error = 2e-31
relative error = 5.5171352346265055270541809817073e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.27
y[1] (analytic) = -3.616626091870000592273821599692
y[1] (numeric) = -3.6166260918700005922738215996924
absolute error = 4e-31
relative error = 1.1060031914805363185539205587800e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.28
y[1] (analytic) = -3.608178144645224447558443363692
y[1] (numeric) = -3.6081781446452244475584433636922
absolute error = 2e-31
relative error = 5.5429635672732306186458490051899e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 23.17
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.29
y[1] (analytic) = -3.59972590188767015563462360788
y[1] (numeric) = -3.5997259018876701556346236078802
absolute error = 2e-31
relative error = 5.5559785786779335203506440214394e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.3
y[1] (analytic) = -3.591269365441705703696562208506
y[1] (numeric) = -3.5912693654417057036965622085061
absolute error = 1e-31
relative error = 2.7845307556789343990347313159994e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.31
y[1] (analytic) = -3.582808537150115930305726939346
y[1] (numeric) = -3.5828085371501159303057269393457
absolute error = 3e-31
relative error = 8.3733193356357773405026649490221e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.32
y[1] (analytic) = -3.574343418854104562905431464604
y[1] (numeric) = -3.5743434188541045629054314646041
absolute error = 1e-31
relative error = 2.7977166232129677995024227538237e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.33
y[1] (analytic) = -3.565874012393296251840533588282
y[1] (numeric) = -3.5658740123932962518405335882822
absolute error = 2e-31
relative error = 5.6087231154239978294253827418643e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.34
y[1] (analytic) = -3.557400319605738600889743859419
y[1] (numeric) = -3.5574003196057386008897438594185
absolute error = 5e-31
relative error = 1.4055207597648562029767294820780e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.35
y[1] (analytic) = -3.548922342327904194318015377863
y[1] (numeric) = -3.5489223423279041943180153778629
absolute error = 1e-31
relative error = 2.8177567823139607410747950540521e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.36
y[1] (analytic) = -3.540440082394692620456466448201
y[1] (numeric) = -3.5404400823946926204564664482007
absolute error = 3e-31
relative error = 8.4735228677301939592146379405798e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.46
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.37
y[1] (analytic) = -3.531953541639432491817268589938
y[1] (numeric) = -3.5319535416394324918172685899378
absolute error = 2e-31
relative error = 5.6625886394634081728799716892687e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.38
y[1] (analytic) = -3.523462721893883461750913329875
y[1] (numeric) = -3.5234627218938834617509133298745
absolute error = 5e-31
relative error = 1.4190585780662008615617351623465e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.39
y[1] (analytic) = -3.514967624988238237653252177547
y[1] (numeric) = -3.514967624988238237653252177547
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.76
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.4
y[1] (analytic) = -3.506468252751124590729685216504
y[1] (numeric) = -3.5064682527511245907296852165041
absolute error = 1e-31
relative error = 2.8518723910174129583089568739515e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.41
y[1] (analytic) = -3.497964607009607362323854832815
y[1] (numeric) = -3.4979646070096073623238548328146
absolute error = 4e-31
relative error = 1.1435221477039415248725115505375e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 103.3
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.42
y[1] (analytic) = -3.489456689589190466818182247381
y[1] (numeric) = -3.4894566895891904668181822473807
absolute error = 3e-31
relative error = 8.5973269390347022379682586516814e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.43
y[1] (analytic) = -3.480944502313818891113565720166
y[1] (numeric) = -3.4809445023138188911135657201657
absolute error = 3e-31
relative error = 8.6183505597571859202565997983447e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 6.804
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.44
y[1] (analytic) = -3.47242804700588069069554055214
y[1] (numeric) = -3.4724280470058806906955405521404
absolute error = 4e-31
relative error = 1.1519317163242650902001293032198e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.45
y[1] (analytic) = -3.463907325486208982294182324419
y[1] (numeric) = -3.4639073254862089822941823244189
absolute error = 1e-31
relative error = 2.8869132630724630718548339579132e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.46
y[1] (analytic) = -3.455382339574083933145016183504
y[1] (numeric) = -3.4553823395740839331450161835034
absolute error = 6e-31
relative error = 1.7364214464149775659441812403505e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.47
y[1] (analytic) = -3.446853091087234746858176406594
y[1] (numeric) = -3.4468530910872347468581764065936
absolute error = 4e-31
relative error = 1.1604788177201619887959146640953e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.48
y[1] (analytic) = -3.438319581841841645903041961355
y[1] (numeric) = -3.4383195818418416459030419613546
absolute error = 4e-31
relative error = 1.1633589911549981520202306990261e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=24005968, alloc=4390108, time=0.94
x[1] = 21.49
y[1] (analytic) = -3.429781813652537850715555310185
y[1] (numeric) = -3.4297818136525378507155553101852
absolute error = 2e-31
relative error = 5.8312747243536895285409518851278e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 22.69
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.5
y[1] (analytic) = -3.421239788332411555435413299704
y[1] (numeric) = -3.4212397883324115554354132997035
absolute error = 5e-31
relative error = 1.4614585090035771277595702258953e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.51
y[1] (analytic) = -3.412693507693007900280300621674
y[1] (numeric) = -3.4126935076930079002803006216737
absolute error = 3e-31
relative error = 8.7907103091364624871051884220013e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.52
y[1] (analytic) = -3.404142973544330940564318031758
y[1] (numeric) = -3.4041429735443309405643180317584
absolute error = 4e-31
relative error = 1.1750387780673247406330562985339e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 42.88
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.53
y[1] (analytic) = -3.395588187694845612367739267103
y[1] (numeric) = -3.3955881876948456123677392671025
absolute error = 5e-31
relative error = 1.4724989379216616333955273399133e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.54
y[1] (analytic) = -3.387029151951479694865212412657
y[1] (numeric) = -3.3870291519514796948652124126571
absolute error = 1e-31
relative error = 2.9524398968454031436358477935085e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 51.66
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.55
y[1] (analytic) = -3.378465868119625769319503329146
y[1] (numeric) = -3.3784658681196257693195033291462
absolute error = 2e-31
relative error = 5.9198466939467786225931758430450e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.56
y[1] (analytic) = -3.369898338003143174747860672486
y[1] (numeric) = -3.3698983380031431747478606724857
absolute error = 3e-31
relative error = 8.9023457063030304304032160485938e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.57
y[1] (analytic) = -3.361326563404359960268064005098
y[1] (numeric) = -3.3613265634043599602680640050984
absolute error = 4e-31
relative error = 1.1900063634247991614038260513443e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.58
y[1] (analytic) = -3.352750546124074834131198523744
y[1] (numeric) = -3.3527505461240748341311985237443
absolute error = 3e-31
relative error = 8.9478771496081932565095828587742e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.59
y[1] (analytic) = -3.344170287961559109448182006031
y[1] (numeric) = -3.3441702879615591094481820060313
absolute error = 3e-31
relative error = 8.9708350403072676566830574742432e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.6
y[1] (analytic) = -3.335585790714558646617051708491
y[1] (numeric) = -3.3355857907145586466170517084911
absolute error = 1e-31
relative error = 2.9979741572942039795567535095387e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.61
y[1] (analytic) = -3.326997056179295792458001132836
y[1] (numeric) = -3.3269970561792957924580011328355
absolute error = 5e-31
relative error = 1.5028567550768954173512884283506e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.62
y[1] (analytic) = -3.318404086150471316063138813554
y[1] (numeric) = -3.3184040861504713160631388135534
absolute error = 6e-31
relative error = 1.8080980628734475060275165192260e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.63
y[1] (analytic) = -3.309806882421266341367923569203
y[1] (numeric) = -3.3098068824212663413679235692034
absolute error = 4e-31
relative error = 1.2085297245722770554366901231990e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.64
y[1] (analytic) = -3.301205446783344276451213001415
y[1] (numeric) = -3.3012054467833442764512130014146
absolute error = 4e-31
relative error = 1.2116786017960660126648304429685e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.65
y[1] (analytic) = -3.292599781026852739570844419552
y[1] (numeric) = -3.2925997810268527395708444195516
absolute error = 4e-31
relative error = 1.2148454917143111084936870351070e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.66
y[1] (analytic) = -3.283989886940425481941649815059
y[1] (numeric) = -3.2839898869404254819416498150591
absolute error = 1e-31
relative error = 3.0450763687694050919957380279166e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.53
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.67
y[1] (analytic) = -3.27537576631118430726278900749
y[1] (numeric) = -3.2753757663111843072627890074902
absolute error = 2e-31
relative error = 6.1061696205087742706993240411653e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.68
y[1] (analytic) = -3.266757420924740988001267633975
y[1] (numeric) = -3.2667574209247409880012676339748
absolute error = 2e-31
relative error = 6.1222788909555695658474823413270e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.69
y[1] (analytic) = -3.258134852565199178438489255218
y[1] (numeric) = -3.2581348525651991784384892552182
absolute error = 2e-31
relative error = 6.1384813413274078285516444777601e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.7
y[1] (analytic) = -3.249508063015156324486673503866
y[1] (numeric) = -3.2495080630151563244866735038656
absolute error = 4e-31
relative error = 1.2309555546350842331131269172413e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 24.6
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.71
y[1] (analytic) = -3.240877054055705570281954905049
y[1] (numeric) = -3.2408770540557055702819549050494
absolute error = 4e-31
relative error = 1.2342337994569436395349254092277e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.72
y[1] (analytic) = -3.232241827466437661560959753982
y[1] (numeric) = -3.232241827466437661560959753982
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 8.823
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.73
y[1] (analytic) = -3.223602385025442845827641241394
y[1] (numeric) = -3.2236023850254428458276412413936
absolute error = 4e-31
relative error = 1.2408478224799518195408824398390e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 25.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.74
y[1] (analytic) = -3.214958728509312769317135874271
y[1] (numeric) = -3.2149587285093127693171358742707
absolute error = 3e-31
relative error = 9.3313795085357653340794224415225e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 19.41
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.75
y[1] (analytic) = -3.206310859693142370763387146559
y[1] (numeric) = -3.2063108596931423707633871465586
absolute error = 4e-31
relative error = 1.2475396725515307852270391021220e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.76
y[1] (analytic) = -3.197658780350531771977265372074
y[1] (numeric) = -3.1976587803505317719772653720736
absolute error = 4e-31
relative error = 1.2509152085206272307028188073597e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=28007136, alloc=4390108, time=1.10
x[1] = 21.77
y[1] (analytic) = -3.189002492253588165241895599666
y[1] (numeric) = -3.1890024922535881652418955996664
absolute error = 4e-31
relative error = 1.2543107161930438675986327755401e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.78
y[1] (analytic) = -3.180341997172927697531888588511
y[1] (numeric) = -3.1803419971729276975318885885114
absolute error = 4e-31
relative error = 1.2577263714266212214736406171629e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.79
y[1] (analytic) = -3.171677296877677351563152929102
y[1] (numeric) = -3.171677296877677351563152929102
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 5.887
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.8
y[1] (analytic) = -3.163008393135476823679949552943
y[1] (numeric) = -3.1630083931354768236799495529432
absolute error = 2e-31
relative error = 6.3230941920372473962745051609465e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.81
y[1] (analytic) = -3.154335287712480398585833080878
y[1] (numeric) = -3.154335287712480398585833080878
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.82
y[1] (analytic) = -3.145657982373358820925107716304
y[1] (numeric) = -3.1456579823733588209251077163037
absolute error = 3e-31
relative error = 9.5369554376554893889864889481119e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.83
y[1] (analytic) = -3.136976478881301163721408695055
y[1] (numeric) = -3.1369764788813011637214086950547
absolute error = 3e-31
relative error = 9.5633487219191732945786487537870e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.84
y[1] (analytic) = -3.128290778998016693680003658292
y[1] (numeric) = -3.1282907789980166936800036582919
absolute error = 1e-31
relative error = 3.1966337870941056480327456094025e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.85
y[1] (analytic) = -3.119600884483736733360391718174
y[1] (numeric) = -3.1196008844837367333603917181743
absolute error = 3e-31
relative error = 9.6166147885179565092779636100764e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.86
y[1] (analytic) = -3.110906797097216520225761438238
y[1] (numeric) = -3.1109067970972165202257614382384
absolute error = 4e-31
relative error = 1.2857987271532516832375700372822e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.87
y[1] (analytic) = -3.102208518595737062575852451105
y[1] (numeric) = -3.102208518595737062575852451105
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.88
y[1] (analytic) = -3.093506050735106992369748985215
y[1] (numeric) = -3.0935060507351069923697489852148
absolute error = 2e-31
relative error = 6.4651562570072938531058972159755e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.89
y[1] (analytic) = -3.084799395269664414945117169599
y[1] (numeric) = -3.0847993952696644149451171695988
absolute error = 2e-31
relative error = 6.4834037606039068605444196019596e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.9
y[1] (analytic) = -3.076088553952278755640381631053
y[1] (numeric) = -3.0760885539522787556403816310531
absolute error = 1e-31
relative error = 3.2508817040236404456196044554816e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.91
y[1] (analytic) = -3.067373528534352603326320591356
y[1] (numeric) = -3.0673735285343526033263205913558
absolute error = 2e-31
relative error = 6.5202362261880662609127865841171e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.92
y[1] (analytic) = -3.058654320765823550853542413169
y[1] (numeric) = -3.058654320765823550853542413169
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 41.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.93
y[1] (analytic) = -3.049930932395166032422290331855
y[1] (numeric) = -3.049930932395166032422290331855
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.94
y[1] (analytic) = -3.041203365169393157881005946447
y[1] (numeric) = -3.0412033651693931578810059464469
absolute error = 1e-31
relative error = 3.2881720816598551104889613936713e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.95
y[1] (analytic) = -3.032471620834058543960065926284
y[1] (numeric) = -3.0324716208340585439600659262836
absolute error = 4e-31
relative error = 1.3190560374971720401338412410684e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.96
y[1] (analytic) = -3.023735701133258142447090320197
y[1] (numeric) = -3.0237357011332581424470903201966
absolute error = 4e-31
relative error = 1.3228669418761865551756821291672e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.125
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 21.97
y[1] (analytic) = -3.014995607809632065310204832462
y[1] (numeric) = -3.0149956078096320653102048324619
absolute error = 1e-31
relative error = 3.3167544171863363086773087282711e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.98
y[1] (analytic) = -3.006251342604366406775623453846
y[1] (numeric) = -3.0062513426043664067756234538457
absolute error = 3e-31
relative error = 9.9792055224532531504877309877529e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 21.99
y[1] (analytic) = -2.997502907257195062365901906825
y[1] (numeric) = -2.9975029072571950623659019068252
absolute error = 2e-31
relative error = 6.6722203843667324463828305659484e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22
y[1] (analytic) = -2.988750303506401544905196481295
y[1] (numeric) = -2.9887503035064015449051964812955
absolute error = 5e-31
relative error = 1.6729400225017126792312695032144e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.01
y[1] (analytic) = -2.979993533088820797497847000632
y[1] (numeric) = -2.9799935330888207974978470006319
absolute error = 1e-31
relative error = 3.3557119802319862906033748055225e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.02
y[1] (analytic) = -2.9712325977398410034865868677
y[1] (numeric) = -2.9712325977398410034865868677002
absolute error = 2e-31
relative error = 6.7312131723425530565730912226166e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.03
y[1] (analytic) = -2.962467499193405393396667396155
y[1] (numeric) = -2.9624674991934053933966673961545
absolute error = 5e-31
relative error = 1.6877822292941124394679706455364e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 6.348
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.04
y[1] (analytic) = -2.953698239182014048872167933964
y[1] (numeric) = -2.9536982391820140488721679339646
absolute error = 6e-31
relative error = 2.0313517204999306798409758607775e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.05
y[1] (analytic) = -2.944924819436725703610747633435
y[1] (numeric) = -2.9449248194367257036107476334349
absolute error = 1e-31
relative error = 3.3956724239611301844286444850924e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=32009432, alloc=4390108, time=1.26
TOP MAIN SOLVE Loop
x[1] = 22.06
y[1] (analytic) = -2.936147241687159541303079114852
y[1] (numeric) = -2.9361472416871595413030791148524
absolute error = 4e-31
relative error = 1.3623294987418726275454116809260e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.07
y[1] (analytic) = -2.927365507661496990583188709183
y[1] (numeric) = -2.9273655076614969905831887091835
absolute error = 5e-31
relative error = 1.7080203981750850242400159401076e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 32.97
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.08
y[1] (analytic) = -2.91857961908648351699591244878
y[1] (numeric) = -2.9185796190864835169959124487801
absolute error = 1e-31
relative error = 3.4263242073656375492488449517565e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 18.15
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.09
y[1] (analytic) = -2.909789577687430411987661503701
y[1] (numeric) = -2.909789577687430411987661503701
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.1
y[1] (analytic) = -2.900995385188216578926675334856
y[1] (numeric) = -2.9009953851882165789266753348558
absolute error = 2e-31
relative error = 6.8941853896476984610832953860655e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.11
y[1] (analytic) = -2.892197043311290316158925453588
y[1] (numeric) = -2.8921970433112903161589254535883
absolute error = 3e-31
relative error = 1.0372737248100100260909317795069e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.12
y[1] (analytic) = -2.883394553777671097105817340383
y[1] (numeric) = -2.8833945537776710971058173403826
absolute error = 4e-31
relative error = 1.3872537820949309497131593508076e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.13
y[1] (analytic) = -2.874587918306951347409822782953
y[1] (numeric) = -2.8745879183069513474098227829532
absolute error = 2e-31
relative error = 6.9575189795480035739155030641784e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.14
y[1] (analytic) = -2.865777138617298219134159645919
y[1] (numeric) = -2.8657771386172982191341596459195
absolute error = 5e-31
relative error = 1.7447274362766525987660085605805e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.15
y[1] (analytic) = -2.856962216425455362022620880422
y[1] (numeric) = -2.8569622164254553620226208804219
absolute error = 1e-31
relative error = 3.5002212988702725217034721630311e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.16
y[1] (analytic) = -2.84814315344674469182563942226
y[1] (numeric) = -2.8481431534467446918256394222598
absolute error = 2e-31
relative error = 7.0221189464428951880384591785623e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.17
y[1] (analytic) = -2.83931995139506815569866051128
y[1] (numeric) = -2.8393199513950681556986605112807
absolute error = 7e-31
relative error = 2.4653790766203111975743472713963e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.18
y[1] (analytic) = -2.830492611982909494678877892675
y[1] (numeric) = -2.8304926119829094946788778926751
absolute error = 1e-31
relative error = 3.5329539309394176818137546807960e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.19
y[1] (analytic) = -2.82166113692133600324637533239
y[1] (numeric) = -2.8216611369213360032463753323902
absolute error = 2e-31
relative error = 7.0880233413930215126030410055453e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.2
y[1] (analytic) = -2.812825527920000285975699893923
y[1] (numeric) = -2.8128255279200002859756998939234
absolute error = 4e-31
relative error = 1.4220576286357438816649327110110e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.21
y[1] (analytic) = -2.803985786687142011283878482147
y[1] (numeric) = -2.8039857866871420112838784821473
absolute error = 3e-31
relative error = 1.0699055659424169911018626363441e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.22
y[1] (analytic) = -2.795141914929589662280874261414
y[1] (numeric) = -2.7951419149295896622808742614146
absolute error = 6e-31
relative error = 2.1465815270245917121025456540346e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.23
y[1] (analytic) = -2.786293914352762284728464699841
y[1] (numeric) = -2.7862939143527622847284646998409
absolute error = 1e-31
relative error = 3.5889968206469467533945836318412e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.24
y[1] (analytic) = -2.777441786660671232113508179236
y[1] (numeric) = -2.7774417866606712321135081792359
absolute error = 1e-31
relative error = 3.6004354971641144034920821030364e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.25
y[1] (analytic) = -2.768585533555921907841551340496
y[1] (numeric) = -2.7685855335559219078415513404967
absolute error = 7e-31
relative error = 2.5283668917424865608510364816525e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 89.67
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.26
y[1] (analytic) = -2.759725156739715504556714607256
y[1] (numeric) = -2.7597251567397155045567146072568
absolute error = 8e-31
relative error = 2.8988393936485476437416595938398e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.27
y[1] (analytic) = -2.750860657911850740593778646055
y[1] (numeric) = -2.7508606579118507405937786460558
absolute error = 8e-31
relative error = 2.9081807459025261827604864780307e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.28
y[1] (analytic) = -2.741992038770725593568379879122
y[1] (numeric) = -2.7419920387707255935683798791227
absolute error = 7e-31
relative error = 2.5528885208354581952528587751328e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 110.1
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.29
y[1] (analytic) = -2.733119301013339031111208565902
y[1] (numeric) = -2.7331193010133390311112085659026
absolute error = 6e-31
relative error = 2.1952938526230534665568980874177e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 26.97
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.3
y[1] (analytic) = -2.724242446335292738752088411573
y[1] (numeric) = -2.7242424463352927387520884115736
absolute error = 6e-31
relative error = 2.2024471456537666268257787847163e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.31
y[1] (analytic) = -2.71536147643079284495980214485
y[1] (numeric) = -2.7153614764307928449598021448502
absolute error = 2e-31
relative error = 7.3655018580763699764600224177911e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.32
y[1] (analytic) = -2.706476392992651643343513033219
y[1] (numeric) = -2.706476392992651643343513033219
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.33
y[1] (analytic) = -2.697587197712289312021617871263
y[1] (numeric) = -2.6975871977122893120216178712629
absolute error = 1e-31
relative error = 3.7070164065430696934504270581462e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.34
y[1] (analytic) = -2.688693892279735630163852586762
y[1] (numeric) = -2.6886938922797356301638525867622
bytes used=36011424, alloc=4390108, time=1.42
absolute error = 2e-31
relative error = 7.4385559685420562775730072095831e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.548
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.35
y[1] (analytic) = -2.679796478383631691712457259684
y[1] (numeric) = -2.6797964783836316917124572596847
absolute error = 7e-31
relative error = 2.6121386666729923302469231217285e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 66.68
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.36
y[1] (analytic) = -2.670894957711231616288193040846
y[1] (numeric) = -2.6708949577112316162881930408466
absolute error = 6e-31
relative error = 2.2464380273275802403383493071333e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.37
y[1] (analytic) = -2.661989331948404257286989189816
y[1] (numeric) = -2.6619893319484042572869891898166
absolute error = 6e-31
relative error = 2.2539534354964478879230089763192e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.38
y[1] (analytic) = -2.653079602779634907172984225403
y[1] (numeric) = -2.6530796027796349071729842254034
absolute error = 4e-31
relative error = 1.5076818636761576481965078160850e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.39
y[1] (analytic) = -2.644165771888026999973710996683
y[1] (numeric) = -2.6441657718880269999737109966835
absolute error = 5e-31
relative error = 1.8909555721348835190687018126898e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.4
y[1] (analytic) = -2.635247840955303810983161337853
y[1] (numeric) = -2.6352478409553038109831613378533
absolute error = 3e-31
relative error = 1.1384128480729424932433388806243e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.41
y[1] (analytic) = -2.626325811661810153678451866098
y[1] (numeric) = -2.6263258116618101536784518660983
absolute error = 3e-31
relative error = 1.1422802101243284619243167813599e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.42
y[1] (analytic) = -2.617399685686514073855798418023
y[1] (numeric) = -2.6173996856865140738557984180237
absolute error = 7e-31
relative error = 2.6744100407286401380378134679435e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.43
y[1] (analytic) = -2.608469464707008540991492596858
y[1] (numeric) = -2.6084694647070085409914925968587
absolute error = 7e-31
relative error = 2.6835660124494736691630061431584e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.44
y[1] (analytic) = -2.599535150399513136833559919494
y[1] (numeric) = -2.5995351503995131368335599194939
absolute error = 1e-31
relative error = 3.8468416164571332066455529616220e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.45
y[1] (analytic) = -2.59059674443887574122976510931
y[1] (numeric) = -2.59059674443887574122976510931
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.46
y[1] (analytic) = -2.581654248498574215197616177573
y[1] (numeric) = -2.5816542484985742151976161775732
absolute error = 2e-31
relative error = 7.7469707694713580129464125524831e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.47
y[1] (analytic) = -2.572707664250718081242005072777
y[1] (numeric) = -2.5727076642507180812420050727769
absolute error = 1e-31
relative error = 3.8869554201419248367383900823775e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 18.4
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.48
y[1] (analytic) = -2.563756993366050200926108853574
y[1] (numeric) = -2.5637569933660502009261088535743
absolute error = 3e-31
relative error = 1.1701577051814066127066480759439e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.49
y[1] (analytic) = -2.554802237513948449701161556738
y[1] (numeric) = -2.5548022375139484497011615567384
absolute error = 4e-31
relative error = 1.5656789168512544041405988359467e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 66.03
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.5
y[1] (analytic) = -2.545843398362427389000693186776
y[1] (numeric) = -2.5458433983624273890006931867767
absolute error = 7e-31
relative error = 2.7495799641496554112652536421153e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.51
y[1] (analytic) = -2.536880477578139935604818548292
y[1] (numeric) = -2.5368804775781399356048185482925
absolute error = 5e-31
relative error = 1.9709245446097261328316716796323e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 66.33
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.52
y[1] (analytic) = -2.527913476826379028280144975788
y[1] (numeric) = -2.5279134768263790282801449757884
absolute error = 4e-31
relative error = 1.5823326378328913549933924546699e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 25.91
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.53
y[1] (analytic) = -2.518942397771079291700854388229
y[1] (numeric) = -2.5189423977710792917008543882294
absolute error = 4e-31
relative error = 1.5879680311623857809431706917887e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.54
y[1] (analytic) = -2.50996724207481869765650150719
y[1] (numeric) = -2.5099672420748186976565015071901
absolute error = 1e-31
relative error = 3.9841157415798312035907559938987e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.55
y[1] (analytic) = -2.50098801139882022355205652768
y[1] (numeric) = -2.5009880113988202235520565276804
absolute error = 4e-31
relative error = 1.5993679225046631891290189821670e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.56
y[1] (analytic) = -2.492004707402953508205707019647
y[1] (numeric) = -2.4920047074029535082057070196477
absolute error = 7e-31
relative error = 2.8089834578583363250301379127497e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 7.521
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.57
y[1] (analytic) = -2.483017331745736504949920365566
y[1] (numeric) = -2.4830173317457365049499203655665
absolute error = 5e-31
relative error = 2.0136790573606858234502560307249e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 56.27
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.58
y[1] (analytic) = -2.474025886084337132041254605322
y[1] (numeric) = -2.4740258860843371320412546053223
absolute error = 3e-31
relative error = 1.2125984682998312503776179345261e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.59
y[1] (analytic) = -2.465030372074574920384392163651
y[1] (numeric) = -2.4650303720745749203843921636511
absolute error = 1e-31
relative error = 4.0567451473565326738360030720945e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 79.37
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.6
y[1] (analytic) = -2.456030791370922658575857577585
y[1] (numeric) = -2.4560307913709226585758575775854
absolute error = 4e-31
relative error = 1.6286440764723698487544923778260e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.61
y[1] (analytic) = -2.447027145626508035272867021555
y[1] (numeric) = -2.447027145626508035272867021555
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.62
y[1] (analytic) = -2.438019436493115278892744145878
y[1] (numeric) = -2.4380194364931152788927441458779
absolute error = 1e-31
relative error = 4.1016900235972499359854388712135e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=40012868, alloc=4390108, time=1.58
TOP MAIN SOLVE Loop
x[1] = 22.63
y[1] (analytic) = -2.429007665621186794648323500223
y[1] (numeric) = -2.4290076656211867946483235002234
absolute error = 4e-31
relative error = 1.6467630203946073417663266554819e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 56.66
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.64
y[1] (analytic) = -2.41999183465982479892474960712
y[1] (numeric) = -2.4199918346598247989247496071202
absolute error = 2e-31
relative error = 8.2644906951974797815891550688485e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 26.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.65
y[1] (analytic) = -2.41097194525679295100306658159
y[1] (numeric) = -2.4109719452567929510030665815896
absolute error = 4e-31
relative error = 1.6590819349305864502597092705528e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.76
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.66
y[1] (analytic) = -2.401947999058517982135980061388
y[1] (numeric) = -2.4019479990585179821359800613883
absolute error = 3e-31
relative error = 1.2489862399918308329372259393299e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.67
y[1] (analytic) = -2.392919997710091321981160118026
y[1] (numeric) = -2.3929199977100913219811601180257
absolute error = 3e-31
relative error = 1.2536984115101444562022610055476e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 62.91
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.68
y[1] (analytic) = -2.383887942855270722397440761555
y[1] (numeric) = -2.3838879428552707223974407615553
absolute error = 3e-31
relative error = 1.2584484136476604218503371755783e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.69
y[1] (analytic) = -2.374851836136481878609258632007
y[1] (numeric) = -2.3748518361364818786092586320074
absolute error = 4e-31
relative error = 1.6843156019818835731656264001244e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 26.85
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.7
y[1] (analytic) = -2.365811679194820047744660487114
y[1] (numeric) = -2.3658116791948200477446604871143
absolute error = 3e-31
relative error = 1.2680637374404286902366682679877e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.71
y[1] (analytic) = -2.356767473670051664752196149556
y[1] (numeric) = -2.3567674736700516647521961495563
absolute error = 3e-31
relative error = 1.2729299914039806251801422616146e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.72
y[1] (analytic) = -2.347719221200615955702000667208
y[1] (numeric) = -2.3477192212006159557020006672083
absolute error = 3e-31
relative error = 1.2778359409034483180581710072318e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.73
y[1] (analytic) = -2.338666923423626548476356566678
y[1] (numeric) = -2.3386669234236265484763565666784
absolute error = 4e-31
relative error = 1.7103760950038627104989609112205e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.74
y[1] (analytic) = -2.329610581974873080855014243676
y[1] (numeric) = -2.3296105819748730808550142436759
absolute error = 1e-31
relative error = 4.2925629190449216809883145464806e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 7.837
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.75
y[1] (analytic) = -2.320550198488822806000535733316
y[1] (numeric) = -2.3205501984888228060005357333159
absolute error = 1e-31
relative error = 4.3093228521891706612548175123472e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.76
y[1] (analytic) = -2.311485774598622195348914339239
y[1] (numeric) = -2.3114857745986221953489143392386
absolute error = 4e-31
relative error = 1.7304886943094338329187616234905e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.77
y[1] (analytic) = -2.302417311936098538910709872281
y[1] (numeric) = -2.3024173119360985389107098722812
absolute error = 2e-31
relative error = 8.6865225935875353101563950755785e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.78
y[1] (analytic) = -2.293344812131761542987926557266
y[1] (numeric) = -2.2933448121317615429879265572658
absolute error = 2e-31
relative error = 8.7208865819916322847896619053223e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.79
y[1] (analytic) = -2.28426827681480492531184801015
y[1] (numeric) = -2.28426827681480492531184801015
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.8
y[1] (analytic) = -2.275187707613108007607031067206
y[1] (numeric) = -2.2751877076131080076070310672058
absolute error = 2e-31
relative error = 8.7904834986041370063838577599376e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 38.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.81
y[1] (analytic) = -2.266103106153237305586647662934
y[1] (numeric) = -2.2661031061532373055866476629338
absolute error = 2e-31
relative error = 8.8257237482677762469663008082693e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.82
y[1] (analytic) = -2.25701447406044811638435140397
y[1] (numeric) = -2.2570144740604481163843514039703
absolute error = 3e-31
relative error = 1.3291895264645312136387349931871e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.83
y[1] (analytic) = -2.247921812958686103427832972187
y[1] (numeric) = -2.2479218129586861034278329721868
absolute error = 2e-31
relative error = 8.8971066007301447641115575422928e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.84
y[1] (analytic) = -2.238825124470588878759216011405
y[1] (numeric) = -2.2388251244705888787592160114049
absolute error = 1e-31
relative error = 4.4666284519942944525139214372327e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.85
y[1] (analytic) = -2.229724410217487582807432708537
y[1] (numeric) = -2.2297244102174875828074327085369
absolute error = 1e-31
relative error = 4.4848591844696173984739167657125e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 1.722
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.86
y[1] (analytic) = -2.220619671819408461617705871402
y[1] (numeric) = -2.2206196718194084616177058714024
absolute error = 4e-31
relative error = 1.8012990025989913674717026828372e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 34.34
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.87
y[1] (analytic) = -2.211510910895074441543251931852
y[1] (numeric) = -2.2115109108950744415432519318524
absolute error = 4e-31
relative error = 1.8087181846102954929581673693078e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.88
y[1] (analytic) = -2.202398129061906701404306964037
y[1] (numeric) = -2.2023981290619067014043069640377
absolute error = 7e-31
relative error = 3.1783535899486039807427318593624e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.89
y[1] (analytic) = -2.193281327936026242119565503583
y[1] (numeric) = -2.1932813279360262421195655035835
absolute error = 5e-31
relative error = 2.2796893113138472366754250345070e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.9
y[1] (analytic) = -2.184160509132255453815109683955
y[1] (numeric) = -2.1841605091322554538151096839555
absolute error = 5e-31
relative error = 2.2892090480962173730366532874814e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=44014516, alloc=4455632, time=1.74
x[1] = 22.91
y[1] (analytic) = -2.175035674264119680415893971324
y[1] (numeric) = -2.175035674264119680415893971324
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.92
y[1] (analytic) = -2.165906824943848781724838578631
y[1] (numeric) = -2.165906824943848781724838578631
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.93
y[1] (analytic) = -2.156773962782378692994572473238
y[1] (numeric) = -2.1567739627823786929945724732381
absolute error = 1e-31
relative error = 4.6365544895114319627055701055590e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.94
y[1] (analytic) = -2.147637089389352981996854760366
y[1] (numeric) = -2.1476370893893529819968547603659
absolute error = 1e-31
relative error = 4.6562801738739498129841360106750e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.95
y[1] (analytic) = -2.138496206373124403594691126421
y[1] (numeric) = -2.1384962063731244035946911264209
absolute error = 1e-31
relative error = 4.6761831843321034810601671414206e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 15.16
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.96
y[1] (analytic) = -2.129351315340756451822149962132
y[1] (numeric) = -2.1293513153407564518221499621323
absolute error = 3e-31
relative error = 1.4088797740357443680708870481154e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.97
y[1] (analytic) = -2.120202417898024909476870755084
y[1] (numeric) = -2.1202024178980249094768707550842
absolute error = 2e-31
relative error = 9.4330615941038594315804590898511e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 22.98
y[1] (analytic) = -2.111049515649419395230245344614
y[1] (numeric) = -2.1110495156494193952302453446142
absolute error = 2e-31
relative error = 9.4739606303585097183272002293257e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 27.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 22.99
y[1] (analytic) = -2.101892610198144908260240669053
y[1] (numeric) = -2.1018926101981449082602406690535
absolute error = 5e-31
relative error = 2.3788084965618920029791925849483e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23
y[1] (analytic) = -2.0927317031461233704118197058
y[1] (numeric) = -2.0927317031461233704118197057999
absolute error = 1e-31
relative error = 4.7784434024516508912043950401864e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.01
y[1] (analytic) = -2.083566796093995165889905408628
y[1] (numeric) = -2.0835667960939951658899054086278
absolute error = 2e-31
relative error = 9.5989243241413929288723804443160e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.02
y[1] (analytic) = -2.074397890641120678489820583855
y[1] (numeric) = -2.0743978906411206784898205838557
absolute error = 7e-31
relative error = 3.3744731575274382291722836194588e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.03
y[1] (analytic) = -2.06522498838558182637012481739
y[1] (numeric) = -2.0652249883855818263701248173899
absolute error = 1e-31
relative error = 4.8420874511193833556082876952477e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.04
y[1] (analytic) = -2.056048090924183594372757768151
y[1] (numeric) = -2.0560480909241835943727577681509
absolute error = 1e-31
relative error = 4.8636994650767379407047434802968e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.05
y[1] (analytic) = -2.046867199852455563895386379848
y[1] (numeric) = -2.0468671998524555638953863798482
absolute error = 2e-31
relative error = 9.7710296014522393307722934893950e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.06
y[1] (analytic) = -2.037682316764653440320841832406
y[1] (numeric) = -2.0376823167646534403208418324064
absolute error = 4e-31
relative error = 1.9630145322903092733540740782904e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.07
y[1] (analytic) = -2.028493443253760578008520356445
y[1] (numeric) = -2.028493443253760578008520356445
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.08
y[1] (analytic) = -2.01930058091148950285261036898
y[1] (numeric) = -2.0193005809114895028526103689799
absolute error = 1e-31
relative error = 4.9522097376340637748056662173571e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.09
y[1] (analytic) = -2.010103731328283432411996755837
y[1] (numeric) = -2.0101037313282834324119967558375
absolute error = 5e-31
relative error = 2.4874338185004924445687617018932e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.1
y[1] (analytic) = -2.000902896093317793616681526048
y[1] (numeric) = -2.0009028960933177936166815260481
absolute error = 1e-31
relative error = 4.9977437783335696554184075717010e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.11
y[1] (analytic) = -1.991698076794501738055548495616
y[1] (numeric) = -1.9916980767945017380555484956163
absolute error = 3e-31
relative error = 1.5062523958592606751805103092172e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.12
y[1] (analytic) = -1.982489275018479654850288122441
y[1] (numeric) = -1.982489275018479654850288122441
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.13
y[1] (analytic) = -1.973276492350632681120287110681
y[1] (numeric) = -1.9732764923506326811202871106817
absolute error = 7e-31
relative error = 3.5473994785501989398002899428188e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.14
y[1] (analytic) = -1.964059730375080210043275931431
y[1] (numeric) = -1.9640597303750802100432759314309
absolute error = 1e-31
relative error = 5.0914948488304279028552892665071e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.15
y[1] (analytic) = -1.954838990674681396516515967061
y[1] (numeric) = -1.9548389906746813965165159670613
absolute error = 3e-31
relative error = 1.5346532447486112427419940057932e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.16
y[1] (analytic) = -1.945614274831036660423296578961
y[1] (numeric) = -1.9456142748310366604232965789615
absolute error = 5e-31
relative error = 2.5698824606096272206186391171717e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.17
y[1] (analytic) = -1.936385584424489187509501022458
y[1] (numeric) = -1.936385584424489187509501022458
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.18
y[1] (analytic) = -1.927152921034126427874988788444
y[1] (numeric) = -1.927152921034126427874988788444
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.19
y[1] (analytic) = -1.917916286237781592084530638493
y[1] (numeric) = -1.9179162862377815920845306384936
absolute error = 6e-31
relative error = 3.1283951458432556537307975333895e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=48016264, alloc=4455632, time=1.90
TOP MAIN SOLVE Loop
x[1] = 23.2
y[1] (analytic) = -1.908675681612035144903021318936
y[1] (numeric) = -1.9086756816120351449030213189366
absolute error = 6e-31
relative error = 3.1435408633343626240714829093538e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.21
y[1] (analytic) = -1.8994311087322162966596836894
y[1] (numeric) = -1.8994311087322162966596836893998
absolute error = 2e-31
relative error = 1.0529468485618880145067780839197e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 72.72
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.22
y[1] (analytic) = -1.890182569172404492245966782593
y[1] (numeric) = -1.8901825691724044922459667825927
absolute error = 3e-31
relative error = 1.5871482728324580734736724315676e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.23
y[1] (analytic) = -1.880930064505430897751829124522
y[1] (numeric) = -1.8809300645054308977518291245223
absolute error = 3e-31
relative error = 1.5949556321163996999013738953788e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.24
y[1] (analytic) = -1.871673596302879884745087487772
y[1] (numeric) = -1.8716735963028798847450874877719
absolute error = 1e-31
relative error = 5.3428119196386685264566613269414e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.25
y[1] (analytic) = -1.862413166135090512198500124865
y[1] (numeric) = -1.8624131661350905121985001248653
absolute error = 3e-31
relative error = 1.6108133547109999322545096070672e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.26
y[1] (analytic) = -1.853148775571158006069242433974
y[1] (numeric) = -1.8531487755711580060692424339741
absolute error = 1e-31
relative error = 5.3962208171429222015762390554393e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.27
y[1] (analytic) = -1.8438804261789352365354219452
y[1] (numeric) = -1.8438804261789352365354219452006
absolute error = 6e-31
relative error = 3.2540071009017498348953148271127e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.04
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.28
y[1] (analytic) = -1.834608119525034192894268482299
y[1] (numeric) = -1.8346081195250341928942684822988
absolute error = 2e-31
relative error = 1.0901510675303151289097700870638e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.29
y[1] (analytic) = -1.825331857174827456126624351871
y[1] (numeric) = -1.8253318571748274561266243518712
absolute error = 2e-31
relative error = 1.0956911709717906380015585355658e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.65
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.3
y[1] (analytic) = -1.816051640692449669132348439713
y[1] (numeric) = -1.8160516406924496691323484397133
absolute error = 3e-31
relative error = 1.6519354035858351893335896202193e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.31
y[1] (analytic) = -1.806767471640799004641237151967
y[1] (numeric) = -1.8067674716407990046412371519673
absolute error = 3e-31
relative error = 1.6604239599662362856272468187440e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.32
y[1] (analytic) = -1.797479351581538630804054227001
y[1] (numeric) = -1.7974793515815386308040542270017
absolute error = 7e-31
relative error = 3.8943423710770013010523126693900e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.33
y[1] (analytic) = -1.788187282075098174468250562351
y[1] (numeric) = -1.7881872820750981744682505623513
absolute error = 3e-31
relative error = 1.6776766226178816701221438196325e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.95
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.34
y[1] (analytic) = -1.778891264680675182142944349545
y[1] (numeric) = -1.7788912646806751821429443495447
absolute error = 3e-31
relative error = 1.6864437189411480602087602339140e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.43
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.35
y[1] (analytic) = -1.769591300956236578657720988114
y[1] (numeric) = -1.7695913009562365786577209881145
absolute error = 5e-31
relative error = 2.8255111772408368299030814089644e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 20
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.36
y[1] (analytic) = -1.760287392458520123519801458436
y[1] (numeric) = -1.7602873924585201235198014584357
absolute error = 3e-31
relative error = 1.7042671627671120705369922892066e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.37
y[1] (analytic) = -1.750979540743035864974117071174
y[1] (numeric) = -1.7509795407430358649741170711742
absolute error = 2e-31
relative error = 1.1422178006439134111811016270218e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.38
y[1] (analytic) = -1.74166774736406759177081777896
y[1] (numeric) = -1.7416677473640675917708177789602
absolute error = 2e-31
relative error = 1.1483246463206924227683648107361e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.59
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.39
y[1] (analytic) = -1.732352013874674282644730533332
y[1] (numeric) = -1.7323520138746742826447305333319
absolute error = 1e-31
relative error = 5.7724988454473794716517457197470e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.4
y[1] (analytic) = -1.723032341826691553511273496934
y[1] (numeric) = -1.7230323418266915535112734969343
absolute error = 3e-31
relative error = 1.7411164765598753872424509582051e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.41
y[1] (analytic) = -1.713708732770733102383321277309
y[1] (numeric) = -1.7137087327707331023833212773087
absolute error = 3e-31
relative error = 1.7505892002718481536427983498064e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 0.113
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.42
y[1] (analytic) = -1.704381188256192152013505734285
y[1] (numeric) = -1.7043811882561921520135057342852
absolute error = 2e-31
relative error = 1.1734464178440417267384175646815e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.76
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.43
y[1] (analytic) = -1.695049709831242890266426327889
y[1] (numeric) = -1.6950497098312428902664263278894
absolute error = 4e-31
relative error = 2.3598127988814175765096133991277e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.44
y[1] (analytic) = -1.685714299042841908225233417718
y[1] (numeric) = -1.6857142990428419082252334177184
absolute error = 4e-31
relative error = 2.3728813371703749399847605155098e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.45
y[1] (analytic) = -1.676374957436729636037037397824
y[1] (numeric) = -1.6763749574367296360370373978239
absolute error = 1e-31
relative error = 5.9652525562005263374150590807279e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.46
y[1] (analytic) = -1.667031686557431776501586053181
y[1] (numeric) = -1.6670316865574317765015860531815
absolute error = 5e-31
relative error = 2.9993431080637964807911931523422e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.47
y[1] (analytic) = -1.657684487948260736407642054727
y[1] (numeric) = -1.6576844879482607364076420547267
absolute error = 3e-31
relative error = 1.8097533166357501101781204013089e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.04
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
bytes used=52017584, alloc=4455632, time=2.06
x[1] = 23.48
y[1] (analytic) = -1.648333363151317055621482069615
y[1] (numeric) = -1.6483333631513170556214820696155
absolute error = 5e-31
relative error = 3.0333669825385921279704393298381e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.49
y[1] (analytic) = -1.638978313707490833931928551723
y[1] (numeric) = -1.6389783137074908339319285517232
absolute error = 2e-31
relative error = 1.2202723997463097989627685826814e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.5
y[1] (analytic) = -1.629619341156463155656314894346
y[1] (numeric) = -1.6296193411564631556563148943458
absolute error = 2e-31
relative error = 1.2272804755622839799850793461060e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.04
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.51
y[1] (analytic) = -1.620256447036707512011774272521
y[1] (numeric) = -1.6202564470367075120117742725211
absolute error = 1e-31
relative error = 6.1718624963900213280735948489177e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.52
y[1] (analytic) = -1.610889632885491221256232176251
y[1] (numeric) = -1.6108896328854912212562321762509
absolute error = 1e-31
relative error = 6.2077499264102855287417175746835e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.53
y[1] (analytic) = -1.601518900238876846603472338096
y[1] (numeric) = -1.6015189002388768466034723380963
absolute error = 3e-31
relative error = 1.8732217269196952348700426899093e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.54
y[1] (analytic) = -1.592144250631723611916635489042
y[1] (numeric) = -1.5921442506317236119166354890422
absolute error = 2e-31
relative error = 1.2561675860754760602576048967228e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.86
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.55
y[1] (analytic) = -1.582765685597688815184500135099
y[1] (numeric) = -1.5827656855976888151845001350995
absolute error = 5e-31
relative error = 3.1590272934884134285609129813952e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.56
y[1] (analytic) = -1.573383206669229239784884333742
y[1] (numeric) = -1.5733832066692292397848843337425
absolute error = 5e-31
relative error = 3.1778653660507417268944390513409e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 27.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.57
y[1] (analytic) = -1.563996815377602563539497263882
y[1] (numeric) = -1.5639968153776025635394972638817
absolute error = 3e-31
relative error = 1.9181624735442296490254910042826e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.58
y[1] (analytic) = -1.554606513252868765564559225556
y[1] (numeric) = -1.554606513252868765564559225556
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.58
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.59
y[1] (analytic) = -1.545212301823891530921498575809
y[1] (numeric) = -1.545212301823891530921498575809
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.6
y[1] (analytic) = -1.535814182618339653072024005205
y[1] (numeric) = -1.535814182618339653072024005205
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.61
y[1] (analytic) = -1.526412157162688434141860485052
y[1] (numeric) = -1.5264121571626884341418604850519
absolute error = 1e-31
relative error = 6.5513105048823176742974370174183e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.62
y[1] (analytic) = -1.517006226982221082997427168548
y[1] (numeric) = -1.5170062269822210829974271685482
absolute error = 2e-31
relative error = 1.3183861505819906419860323346403e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.63
y[1] (analytic) = -1.507596393601030111139725509671
y[1] (numeric) = -1.507596393601030111139725509671
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.76
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.64
y[1] (analytic) = -1.498182658542018726419695871585
y[1] (numeric) = -1.4981826585420187264196958715851
absolute error = 1e-31
relative error = 6.6747535375503983362832207001945e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 94.36
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.65
y[1] (analytic) = -1.488765023326902224579290931598
y[1] (numeric) = -1.4887650233269022245792909315984
absolute error = 4e-31
relative error = 2.6867906871302699508666473387351e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.66
y[1] (analytic) = -1.479343489476209378622504252126
y[1] (numeric) = -1.4793434894762093786225042521262
absolute error = 2e-31
relative error = 1.3519510608777811880925217647919e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.67
y[1] (analytic) = -1.469918058509283826020582476673
y[1] (numeric) = -1.4699180585092838260205824766733
absolute error = 3e-31
relative error = 2.0409300930981469128576636281295e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.68
y[1] (analytic) = -1.460488731944285453755639726417
y[1] (numeric) = -1.4604887319442854537556397264174
absolute error = 4e-31
relative error = 2.7388092167441600725480795055450e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.69
y[1] (analytic) = -1.451055511298191781206882916489
y[1] (numeric) = -1.4510555112981917812068829164887
absolute error = 3e-31
relative error = 2.0674605324478866620385511370570e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.7
y[1] (analytic) = -1.441618398086799340883646881412
y[1] (numeric) = -1.4416183980867993408836468814121
absolute error = 1e-31
relative error = 6.9366484315621945109213420245897e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.71
y[1] (analytic) = -1.43217739382472505700942839632
y[1] (numeric) = -1.4321773938247250570094283963204
absolute error = 4e-31
relative error = 2.7929501032813636004983277075548e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.72
y[1] (analytic) = -1.422732500025407621961098404382
y[1] (numeric) = -1.4227325000254076219610984043816
absolute error = 4e-31
relative error = 2.8114912676336322483144479610361e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.73
y[1] (analytic) = -1.413283718201108870567462011324
y[1] (numeric) = -1.4132837182011088705674620113243
absolute error = 3e-31
relative error = 2.1227160274785695770524225460014e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.014
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.74
y[1] (analytic) = -1.403831049862915152271326084908
y[1] (numeric) = -1.4038310498629151522713260849078
absolute error = 2e-31
relative error = 1.4246728623044069743237077209552e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.75
y[1] (analytic) = -1.394374496520738701159224600592
y[1] (numeric) = -1.3943744965207387011592246005924
absolute error = 4e-31
relative error = 2.8686697942201695413848768521971e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.76
y[1] (analytic) = -1.38491405968331900386294220443
y[1] (numeric) = -1.3849140596833190038629422044302
absolute error = 2e-31
relative error = 1.4441329308602220812886714006625e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 97.95
Order of pole (six term test) = -0.5
bytes used=56021592, alloc=4455632, time=2.22
TOP MAIN SOLVE Loop
x[1] = 23.77
y[1] (analytic) = -1.375449740858224165336966820242
y[1] (numeric) = -1.3754497408582241653369668202418
absolute error = 2e-31
relative error = 1.4540698511834260956903133247340e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.78
y[1] (analytic) = -1.365981541551852272515992510383
y[1] (numeric) = -1.3659815415518522725159925103833
absolute error = 3e-31
relative error = 2.1962229420697635755731211590932e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.62
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.79
y[1] (analytic) = -1.356509463269432755856584207765
y[1] (numeric) = -1.3565094632694327558565842077646
absolute error = 4e-31
relative error = 2.9487446334206012148550520323244e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.8
y[1] (analytic) = -1.347033507515027748767106371168
y[1] (numeric) = -1.3470335075150277487671063711682
absolute error = 2e-31
relative error = 1.4847440608137118959311695029081e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.81
y[1] (analytic) = -1.337553675791533444930008076261
y[1] (numeric) = -1.3375536757915334449300080762606
absolute error = 4e-31
relative error = 2.9905341911851815363373868840372e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.82
y[1] (analytic) = -1.328069969600681453520547540903
y[1] (numeric) = -1.3280699696006814535205475409036
absolute error = 6e-31
relative error = 4.5178342537208751188244258584024e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.83
y[1] (analytic) = -1.31858239044304015232602959538
y[1] (numeric) = -1.3185823904430401523260295953802
absolute error = 2e-31
relative error = 1.5167804564172932383419269764178e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.84
y[1] (analytic) = -1.30909093981801603876962014587
y[1] (numeric) = -1.3090909398180160387696201458704
absolute error = 4e-31
relative error = 3.0555554838352651731800629942124e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.85
y[1] (analytic) = -1.299595619223855078842792242866
y[1] (numeric) = -1.2995956192238550788427922428663
absolute error = 3e-31
relative error = 2.3084103667505904506665835549197e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.86
y[1] (analytic) = -1.290096430157644053950448955122
y[1] (numeric) = -1.2900964301576440539504489551223
absolute error = 3e-31
relative error = 2.3254075663424735809514060022555e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.87
y[1] (analytic) = -1.28059337411531190567275886412
y[1] (numeric) = -1.2805933741153119056727588641197
absolute error = 3e-31
relative error = 2.3426640029841845405838559508986e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 4.408
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.88
y[1] (analytic) = -1.271086452591631078447730633802
y[1] (numeric) = -1.2710864525916310784477306338017
absolute error = 3e-31
relative error = 2.3601856458176149461689572495867e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.89
y[1] (analytic) = -1.261575667080218860178543775431
y[1] (numeric) = -1.261575667080218860178543775431
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.9
y[1] (analytic) = -1.252061019073538720769643417757
y[1] (numeric) = -1.2520610190735387207696434177573
absolute error = 3e-31
relative error = 2.3960493572588394714381397254807e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.91
y[1] (analytic) = -1.242542510062901648595597608177
y[1] (numeric) = -1.2425425100629016485955976081771
absolute error = 1e-31
relative error = 8.0480143890560063228800807123264e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.92
y[1] (analytic) = -1.233020141538467484906706411149
y[1] (numeric) = -1.2330201415384674849067064111491
absolute error = 1e-31
relative error = 8.1101675983352314527622662525267e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.93
y[1] (analytic) = -1.223493914989246256175342835712
y[1] (numeric) = -1.2234939149892462561753428357122
absolute error = 2e-31
relative error = 1.6346628091056576649086290707858e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.94
y[1] (analytic) = -1.213963831903099504386996414471
y[1] (numeric) = -1.2139638319030995043869964144707
absolute error = 3e-31
relative error = 2.4712433115053996943668363228670e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.95
y[1] (analytic) = -1.204429893766741615279981071775
y[1] (numeric) = -1.204429893766741615279981071775
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.96
y[1] (analytic) = -1.194892102065741144537759758972
y[1] (numeric) = -1.1948921020657411445377597589717
absolute error = 3e-31
relative error = 2.5106869438785064182585222119562e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 40.26
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.97
y[1] (analytic) = -1.185350458284522141937829199436
y[1] (numeric) = -1.1853504582845221419378291994355
absolute error = 5e-31
relative error = 4.2181617808088277425577915734013e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.46
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 23.98
y[1] (analytic) = -1.175804963906365473461098975562
y[1] (numeric) = -1.1758049639063654734610989755621
absolute error = 1e-31
relative error = 8.5048118582329305692981165833055e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 23.99
y[1] (analytic) = -1.166255620413410141365690103912
y[1] (numeric) = -1.1662556204134101413656901039126
absolute error = 6e-31
relative error = 5.1446697404751981862349868880703e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24
y[1] (analytic) = -1.156702429286654602229069183183
y[1] (numeric) = -1.1567024292866546022290691831827
absolute error = 3e-31
relative error = 2.5935797522705283674678994722861e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 20.96
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.01
y[1] (analytic) = -1.147145392005958082962425162551
y[1] (numeric) = -1.1471453920059580829624251625512
absolute error = 2e-31
relative error = 1.7434581648823921106001471692361e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.02
y[1] (analytic) = -1.137584510050041894801186765162
y[1] (numeric) = -1.1375845100500418948011867651623
absolute error = 3e-31
relative error = 2.6371667102499762245465867942335e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.03
y[1] (analytic) = -1.128019784896490745275569612945
y[1] (numeric) = -1.1280197848964907452755696129454
absolute error = 4e-31
relative error = 3.5460370939921480693038661135038e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.04
y[1] (analytic) = -1.118451218021754048165033134595
y[1] (numeric) = -1.1184512180217540481650331345949
absolute error = 1e-31
relative error = 8.9409353209765993230712625226156e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=60022764, alloc=4455632, time=2.38
x[1] = 24.05
y[1] (analytic) = -1.108878810901147231440518398251
y[1] (numeric) = -1.1088788109011472314405183982514
absolute error = 4e-31
relative error = 3.6072472128395520165347115693588e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.91
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.06
y[1] (analytic) = -1.099302565008853043198329094166
y[1] (numeric) = -1.0993025650088530431983290941661
absolute error = 1e-31
relative error = 9.0966766732864547882230788935787e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.07
y[1] (analytic) = -1.089722481817922855589509000323
y[1] (numeric) = -1.0897224818179228555895090003227
absolute error = 3e-31
relative error = 2.7529945009441930347452475849250e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.08
y[1] (analytic) = -1.080138562800277966748560395559
y[1] (numeric) = -1.0801385628002779667485603955586
absolute error = 4e-31
relative error = 3.7032285835901743860889062595451e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.37
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.09
y[1] (analytic) = -1.0705508094267109007253390401
y[1] (numeric) = -1.0705508094267109007253390400995
absolute error = 5e-31
relative error = 4.6704929424858804153035868314373e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.1
y[1] (analytic) = -1.060959223166886705423952522522
y[1] (numeric) = -1.0609592231668867054239525225221
absolute error = 1e-31
relative error = 9.4254329305425346691456458171085e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.11
y[1] (analytic) = -1.05136380548934424855247997492
y[1] (numeric) = -1.0513638054893442485524799749204
absolute error = 4e-31
relative error = 3.8045821808924167706487145794255e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.12
y[1] (analytic) = -1.041764557861497511587322384394
y[1] (numeric) = -1.041764557861497511587322384394
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.13
y[1] (analytic) = -1.032161481749636881755983978836
y[1] (numeric) = -1.0321614817496368817559839788359
absolute error = 1e-31
relative error = 9.6884064914424113919929137958273e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.14
y[1] (analytic) = -1.022554578618930442042076438293
y[1] (numeric) = -1.0225545786189304420420764382935
absolute error = 5e-31
relative error = 4.8897145487852940920095764238515e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 1.736
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.15
y[1] (analytic) = -1.012943849933425259216328979846
y[1] (numeric) = -1.0129438499334252592163289798462
absolute error = 2e-31
relative error = 1.9744431047500293702270267127351e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.16
y[1] (analytic) = -1.003329297156048669897378683905
y[1] (numeric) = -1.0033292971560486698973786839053
absolute error = 3e-31
relative error = 2.9900452508498886339924158397651e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.182
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.17
y[1] (analytic) = -0.993710921748609564646106773036
y[1] (numeric) = -0.9937109217486095646461067730362
absolute error = 2.0e-31
relative error = 2.0126577621594893882505464973796e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 15.06
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.18
y[1] (analytic) = -0.984088725171799670097277920747
y[1] (numeric) = -0.984088725171799670097277920747
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 53.18
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.19
y[1] (analytic) = -0.974462708885194829132231057121
y[1] (numeric) = -0.97446270888519482913223105712097
absolute error = 3e-32
relative error = 3.0786196050868494032836910650227e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.2
y[1] (analytic) = -0.964832874347256279096361550615
y[1] (numeric) = -0.96483287434725627909636155061496
absolute error = 4e-32
relative error = 4.1457957189799758053573417340956e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.21
y[1] (analytic) = -0.955199223015331928065126080735
y[1] (numeric) = -0.95519922301533192806512608073545
absolute error = 4.5e-31
relative error = 4.7110591084806298891202280399040e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 47.2
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.22
y[1] (analytic) = -0.945561756345657629162292974567
y[1] (numeric) = -0.94556175634565762916229297456729
absolute error = 2.9e-31
relative error = 3.0669599109081161997204371606682e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.23
y[1] (analytic) = -0.935920475793358452934152261197
y[1] (numeric) = -0.93592047579335845293415226119725
absolute error = 2.5e-31
relative error = 2.6711671179977198252199267855756e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.24
y[1] (analytic) = -0.926275382812449957783391201876
y[1] (numeric) = -0.92627538281244995778339120187633
absolute error = 3.3e-31
relative error = 3.5626554059767948856243947459444e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.25
y[1] (analytic) = -0.916626478855839458466332580232
y[1] (numeric) = -0.91662647885583945846633258023171
absolute error = 2.9e-31
relative error = 3.1637750674842675224738376688540e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.26
y[1] (analytic) = -0.906973765375327292657224585902
y[1] (numeric) = -0.90697376537532729265722458590221
absolute error = 2.1e-31
relative error = 2.3153922198962062664147244524004e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.27
y[1] (analytic) = -0.897317243821608085583262696561
y[1] (numeric) = -0.8973172438216080855832626965613
absolute error = 3.0e-31
relative error = 3.3432991739055641508444140926842e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.28
y[1] (analytic) = -0.887656915644272012734015557341
y[1] (numeric) = -0.88765691564427201273401555734074
absolute error = 2.6e-31
relative error = 2.9290595884254322330686508051910e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.29
y[1] (analytic) = -0.877992782291806060648918473107
y[1] (numeric) = -0.87799278229180606064891847310704
absolute error = 4e-32
relative error = 4.5558461079359721824233590625409e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.44
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.3
y[1] (analytic) = -0.868324845211595285786489767804
y[1] (numeric) = -0.86832484521159528578648976780424
absolute error = 2.4e-31
relative error = 2.7639425650836499824483099834456e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.31
y[1] (analytic) = -0.858653105849924071478916926092
y[1] (numeric) = -0.8586531058499240714789169260922
absolute error = 2.0e-31
relative error = 2.3292293318153574054744427458430e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.32
y[1] (analytic) = -0.848977565651977382975651115712
y[1] (numeric) = -0.84897756565197738297565111571175
absolute error = 2.5e-31
relative error = 2.9447185663617743485408111351387e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.85
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.33
y[1] (analytic) = -0.839298226061842020579640394329
y[1] (numeric) = -0.83929822606184202057964039432928
absolute error = 2.8e-31
relative error = 3.3361204790556623536555407393451e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=64027508, alloc=4455632, time=2.54
TOP MAIN SOLVE Loop
x[1] = 24.34
y[1] (analytic) = -0.829615088522507870879823631987
y[1] (numeric) = -0.82961508852250787087982363198671
absolute error = 2.9e-31
relative error = 3.4955969824086939258603467374392e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.35
y[1] (analytic) = -0.819928154475869156083498929641
y[1] (numeric) = -0.81992815447586915608349892964103
absolute error = 3e-32
relative error = 3.6588571615981645268400128369793e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.36
y[1] (analytic) = -0.810237425362725681452172085554
y[1] (numeric) = -0.81023742536272568145217208555397
absolute error = 3e-32
relative error = 3.7026184005965476323020573501847e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.37
y[1] (analytic) = -0.80054290262278408084448245442
y[1] (numeric) = -0.80054290262278408084448245442055
absolute error = 5.5e-31
relative error = 6.8703375946255821228177154440289e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.38
y[1] (analytic) = -0.790844587694659060369795359039
y[1] (numeric) = -0.79084458769465906036979535903883
absolute error = 1.7e-31
relative error = 2.1496005997278963069170896027043e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.39
y[1] (analytic) = -0.781142482015874640156042050956
y[1] (numeric) = -0.78114248201587464015604205095607
absolute error = 7e-32
relative error = 8.9612332719829513080469221529189e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.4
y[1] (analytic) = -0.771436587022865394235380074813
y[1] (numeric) = -0.77143658702286539423538007481283
absolute error = 1.7e-31
relative error = 2.2036808061705426600384593346543e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.41
y[1] (analytic) = -0.761726904150977688551238770981
y[1] (numeric) = -0.76172690415097768855123877098093
absolute error = 7e-32
relative error = 9.1896452151735585891911005303125e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 58.62
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.42
y[1] (analytic) = -0.752013434834470917090306552488
y[1] (numeric) = -0.75201343483447091709030655248788
absolute error = 1.2e-31
relative error = 1.5957161726294656353307325142360e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.43
y[1] (analytic) = -0.742296180506518736143008515074
y[1] (numeric) = -0.74229618050651873614300851507443
absolute error = 4.3e-31
relative error = 5.7928359500190611999546610597037e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.44
y[1] (analytic) = -0.732575142599210296696014883478
y[1] (numeric) = -0.73257514259921029669601488347845
absolute error = 4.5e-31
relative error = 6.1427145671825460079283088161890e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.45
y[1] (analytic) = -0.722850322543551474960312762612
y[1] (numeric) = -0.72285032254355147496031276261234
absolute error = 3.4e-31
relative error = 4.7036016917529302322450544521032e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.46
y[1] (analytic) = -0.713121721769466101038365649138
y[1] (numeric) = -0.71312172176946610103836564913839
absolute error = 3.9e-31
relative error = 5.4689120818293761430289382951821e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 19.06
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.47
y[1] (analytic) = -0.703389341705797185733877166983
y[1] (numeric) = -0.70338934170579718573387716698272
absolute error = 2.8e-31
relative error = 3.9807256578692099252287004278985e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 28.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.39
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.48
y[1] (analytic) = -0.693653183780308145507667519499
y[1] (numeric) = -0.69365318378030814550766751949907
absolute error = 7e-32
relative error = 1.0091498408255010619133789820556e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.49
y[1] (analytic) = -0.683913249419684025583163201236
y[1] (numeric) = -0.68391324941968402558316320123567
absolute error = 3.3e-31
relative error = 4.8251733722078424233233797243756e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.5
y[1] (analytic) = -0.674169540049532721204992583507
y[1] (numeric) = -0.67416954004953272120499258350737
absolute error = 3.7e-31
relative error = 5.4882337159999142788882686715079e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.51
y[1] (analytic) = -0.664422057094386197054172080168
y[1] (numeric) = -0.66442205709438619705417208016825
absolute error = 2.5e-31
relative error = 3.7626685828776693090533053955757e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.52
y[1] (analytic) = -0.654670801977701704823359713053
y[1] (numeric) = -0.65467080197770170482335971305345
absolute error = 4.5e-31
relative error = 6.8736836688086654999438135588569e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.53
y[1] (analytic) = -0.64491577612186299895564503045
y[1] (numeric) = -0.64491577612186299895564503045031
absolute error = 3.1e-31
relative error = 4.8068292244943088122494402022376e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.54
y[1] (analytic) = -0.635156980948181550550336486605
y[1] (numeric) = -0.63515698094818155055033648660511
absolute error = 1.1e-31
relative error = 1.7318553255258042383696786219810e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 52.92
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.55
y[1] (analytic) = -0.62539441787689775943919956561
y[1] (numeric) = -0.62539441787689775943919956561031
absolute error = 3.1e-31
relative error = 4.9568718737911761051831245651127e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.56
y[1] (analytic) = -0.615628088327182164436591128986
y[1] (numeric) = -0.61562808832718216443659112898556
absolute error = 4.4e-31
relative error = 7.1471722675226161999138211891261e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.57
y[1] (analytic) = -0.605857993717136651766927682802
y[1] (numeric) = -0.60585799371713665176692768280242
absolute error = 4.2e-31
relative error = 6.9323175456209273884223265260147e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.58
y[1] (analytic) = -0.596084135463795661672917497245
y[1] (numeric) = -0.59608413546379566167291749724478
absolute error = 2.2e-31
relative error = 3.6907541555157213408649370873552e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 86.35
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.59
y[1] (analytic) = -0.586306514983127393207978768984
y[1] (numeric) = -0.58630651498312739320797876898381
absolute error = 1.9e-31
relative error = 3.2406257673167384202306321192115e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 42.9
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.6
y[1] (analytic) = -0.576525133690035007216258294615
y[1] (numeric) = -0.57652513369003500721625829461526
absolute error = 2.6e-31
relative error = 4.5097773680026118502740094648750e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 137.1
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.61
y[1] (analytic) = -0.566739992998357827503657421598
y[1] (numeric) = -0.56673999299835782750365742159774
absolute error = 2.6e-31
relative error = 4.5876416559992682551883320481889e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=68029084, alloc=4455632, time=2.70
x[1] = 24.62
y[1] (analytic) = -0.556951094320872540203264361581
y[1] (numeric) = -0.55695109432087254020326436158151
absolute error = 5.1e-31
relative error = 9.1569978980268792215069478688929e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.63
y[1] (analytic) = -0.547158439069294391338584289668
y[1] (numeric) = -0.54715843906929439133858428966771
absolute error = 2.9e-31
relative error = 5.3001101562699868962339487813779e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.64
y[1] (analytic) = -0.537362028654278382587951011927
y[1] (numeric) = -0.53736202865427838258795101192707
absolute error = 7e-32
relative error = 1.3026599623218962296866062308087e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.65
y[1] (analytic) = -0.527561864485420465253496362374
y[1] (numeric) = -0.52756186448542046525349636237444
absolute error = 4.4e-31
relative error = 8.3402540937861838653711575775431e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.66
y[1] (analytic) = -0.517757947971258732438045889481
y[1] (numeric) = -0.51775794797125873243804588948101
absolute error = 1e-32
relative error = 1.9314044408556544491809109564787e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.67
y[1] (analytic) = -0.507950280519274609433301811149
y[1] (numeric) = -0.50795028051927460943330181114917
absolute error = 1.7e-31
relative error = 3.3467842527069773725059457691356e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 115.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.68
y[1] (analytic) = -0.498138863535894042322666655816
y[1] (numeric) = -0.49813886353589404232266665581645
absolute error = 4.5e-31
relative error = 9.0336256200892598287814383613714e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.69
y[1] (analytic) = -0.488323698426488684802053465935
y[1] (numeric) = -0.48832369842648868480205346593462
absolute error = 3.8e-31
relative error = 7.7817235007119867008545496070378e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.7
y[1] (analytic) = -0.478504786595377083222020918429
y[1] (numeric) = -0.47850478659537708322202091842872
absolute error = 2.8e-31
relative error = 5.8515611096021819398680803464498e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 8.634
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.71
y[1] (analytic) = -0.468682129445825859854564214819
y[1] (numeric) = -0.46868212944582585985456421481908
absolute error = 8e-32
relative error = 1.7069138115974839788417025000811e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.72
y[1] (analytic) = -0.458855728380050894387885111428
y[1] (numeric) = -0.4588557283800508943878851114283
absolute error = 3.0e-31
relative error = 6.5380027194849057631232979440005e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.73
y[1] (analytic) = -0.449025584799218503652456997436
y[1] (numeric) = -0.44902558479921850365245699743578
absolute error = 2.2e-31
relative error = 4.8994981009461377575175606874069e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.74
y[1] (analytic) = -0.439191700103446619581693485426
y[1] (numeric) = -0.43919170010344661958169348542621
absolute error = 2.1e-31
relative error = 4.7815111248809320340953777853016e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.87
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.75
y[1] (analytic) = -0.429354075691805965410521555447
y[1] (numeric) = -0.42935407569180596541052155544661
absolute error = 3.9e-31
relative error = 9.0834120852726070740714067219323e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.76
y[1] (analytic) = -0.419512712962321230115152889381
y[1] (numeric) = -0.41951271296232123011515288938121
absolute error = 2.1e-31
relative error = 5.0058077743846887405741607398473e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.77
y[1] (analytic) = -0.409667613311972241097339647616
y[1] (numeric) = -0.40966761331197224109733964761647
absolute error = 4.7e-31
relative error = 1.1472715555917844099987467827550e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.78
y[1] (analytic) = -0.399818778136695135116393574442
y[1] (numeric) = -0.39981877813669513511639357444155
absolute error = 4.5e-31
relative error = 1.1255099175110486425202025389866e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.79
y[1] (analytic) = -0.389966208831383527472239972356
y[1] (numeric) = -0.38996620883138352747223997235583
absolute error = 1.7e-31
relative error = 4.3593520707714923286598791538217e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.8
y[1] (analytic) = -0.380109906789889679442770758376
y[1] (numeric) = -0.38010990678988967944277075837596
absolute error = 4e-32
relative error = 1.0523272160362418775169451424339e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.81
y[1] (analytic) = -0.370249873405025663978753507494
y[1] (numeric) = -0.37024987340502566397875350749411
absolute error = 1.1e-31
relative error = 2.9709665796338633407852870288032e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.82
y[1] (analytic) = -0.360386110068564529659546099579
y[1] (numeric) = -0.36038611006856452965954609957893
absolute error = 7e-32
relative error = 1.9423612077247453220752734249901e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.83
y[1] (analytic) = -0.350518618171241462912859316174
y[1] (numeric) = -0.35051861817124146291285931617439
absolute error = 3.9e-31
relative error = 1.1126370463136722868689501502026e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.625
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.84
y[1] (analytic) = -0.340647399102754948501802482783
y[1] (numeric) = -0.34064739910275494850180248278258
absolute error = 4.2e-31
relative error = 1.2329464458153947374034072942092e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.85
y[1] (analytic) = -0.330772454251767928282440020258
y[1] (numeric) = -0.330772454251767928282440020258
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.86
y[1] (analytic) = -0.320893785005908958235079555837
y[1] (numeric) = -0.32089378500590895823507955583663
absolute error = 3.7e-31
relative error = 1.1530294985089436894189020418031e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.87
y[1] (analytic) = -0.311011392751773363772505050017
y[1] (numeric) = -0.31101139275177336377250505001703
absolute error = 3e-32
relative error = 9.6459488942078126611636052928300e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.88
y[1] (analytic) = -0.301125278874924393328361219946
y[1] (numeric) = -0.30112527887492439332836121994652
absolute error = 5.2e-31
relative error = 1.7268560180096589103936653267018e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 41.72
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.89
y[1] (analytic) = -0.291235444759894370228888383088
y[1] (numeric) = -0.29123544475989437022888838308813
absolute error = 1.3e-31
relative error = 4.4637423891579188703654134608590e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.9
y[1] (analytic) = -0.281341891790185842851199706697
y[1] (numeric) = -0.28134189179018584285119970669697
absolute error = 3e-32
relative error = 1.0663182723734887997782015817180e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=72032200, alloc=4455632, time=2.86
TOP MAIN SOLVE Loop
x[1] = 24.91
y[1] (analytic) = -0.271444621348272733071285728963
y[1] (numeric) = -0.27144462134827273307128572896334
absolute error = 3.4e-31
relative error = 1.2525575136144192424595218882409e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.92
y[1] (analytic) = -0.261543634815601483004923916528
y[1] (numeric) = -0.26154363481560148300492391652845
absolute error = 4.5e-31
relative error = 1.7205542024269397469266404625254e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.93
y[1] (analytic) = -0.251638933572592200044663940392
y[1] (numeric) = -0.25163893357259220004466394039251
absolute error = 5.1e-31
relative error = 2.0267134054312641371917576529083e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.94
y[1] (analytic) = -0.241730518998639800196052287959
y[1] (numeric) = -0.24173051899863980019605228795884
absolute error = 1.6e-31
relative error = 6.6189408214897477715990501927506e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.95
y[1] (analytic) = -0.231818392472115149716252783038
y[1] (numeric) = -0.23181839247211514971625278303751
absolute error = 4.9e-31
relative error = 2.1137235694486185571979690586143e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.96
y[1] (analytic) = -0.221902555370366205058212558012
y[1] (numeric) = -0.22190255537036620505821255801239
absolute error = 3.9e-31
relative error = 1.7575282057886667782589625463729e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 24.97
y[1] (analytic) = -0.211983009069719151123516013003
y[1] (numeric) = -0.2119830090697191511235160130033
absolute error = 3.0e-31
relative error = 1.4152077627190060129763542925718e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.98
y[1] (analytic) = -0.202059754945479537827062305675
y[1] (numeric) = -0.20205975494547953782706230567493
absolute error = 7e-32
relative error = 3.4643217309101281543421235960497e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.71
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 24.99
y[1] (analytic) = -0.192132794371933414976694942303
y[1] (numeric) = -0.19213279437193341497669494230317
absolute error = 1.7e-31
relative error = 8.8480470268345530510269490496194e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 86.83
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25
y[1] (analytic) = -0.182202128722348465470905085753
y[1] (numeric) = -0.1822021287223484654709050857533
absolute error = 3.0e-31
relative error = 1.6465230242022015248088969247791e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.01
y[1] (analytic) = -0.1722677593689751368177232591
y[1] (numeric) = -0.17226775936897513681772325909966
absolute error = 3.4e-31
relative error = 1.9736716913567338949848522655508e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 19.44
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.02
y[1] (analytic) = -0.16232968768304777097790720467
y[1] (numeric) = -0.16232968768304777097790720466972
absolute error = 2.8e-31
relative error = 1.7248847330175738459874169907369e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 27.66
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.03
y[1] (analytic) = -0.152387915034785732535526757273
y[1] (numeric) = -0.15238791503478573253552675727323
absolute error = 2.3e-31
relative error = 1.5093060361610543979937351698530e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 55.83
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.04
y[1] (analytic) = -0.142442442793394535199039707227
y[1] (numeric) = -0.14244244279339453519903970722686
absolute error = 1.4e-31
relative error = 9.8285312477449454215770974119138e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.26
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.05
y[1] (analytic) = -0.132493272327066966635945763453
y[1] (numeric) = -0.13249327232706696663594576345304
absolute error = 4e-32
relative error = 3.0190212149985841469810303824193e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.06
y[1] (analytic) = -0.122540405002984211644098879366
y[1] (numeric) = -0.12254040500298421164409887936628
absolute error = 2.8e-31
relative error = 2.2849606217082536483080075901023e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.07
y[1] (analytic) = -0.112583842187316973662751374408
y[1] (numeric) = -0.11258384218731697366275137440843
absolute error = 4.3e-31
relative error = 3.8193757793819657329278016729276e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.08
y[1] (analytic) = -0.102623585245226594626396471904
y[1] (numeric) = -0.10262358524522659462639647190348
absolute error = 5.2e-31
relative error = 5.0670613266669821181782459164221e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.09
y[1] (analytic) = -0.092659635540866173164469079321
y[1] (numeric) = -0.092659635540866173164469079321142
absolute error = 1.42e-31
relative error = 1.5324903791292486013893423482325e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.1
y[1] (analytic) = -0.082691994437381681149957860014
y[1] (numeric) = -0.082691994437381681149957860013719
absolute error = 2.81e-31
relative error = 3.3981524077616315200893631295355e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.11
y[1] (analytic) = -0.072720663296913078599974885972
y[1] (numeric) = -0.072720663296913078599974885971654
absolute error = 3.46e-31
relative error = 4.7579323993141762685670630687758e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.12
y[1] (analytic) = -0.062745643480595426931322419077
y[1] (numeric) = -0.062745643480595426931322419077262
absolute error = 2.62e-31
relative error = 4.1755887017243757499650984706766e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 28.15
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.13
y[1] (analytic) = -0.052766936348560000574089643673
y[1] (numeric) = -0.052766936348560000574089643672629
absolute error = 3.71e-31
relative error = 7.0309179511446947556823844138419e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.14
y[1] (analytic) = -0.042784543259935396946305465945
y[1] (numeric) = -0.042784543259935396946305465944746
absolute error = 2.54e-31
relative error = 5.9367234203444791071469325825067e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 35.54
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.15
y[1] (analytic) = -0.032798465572848644792666805618
y[1] (numeric) = -0.032798465572848644792666805617746
absolute error = 2.54e-31
relative error = 7.7442647259165466079907409172130e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 42.42
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.16
y[1] (analytic) = -0.022808704644426310890355132678
y[1] (numeric) = -0.022808704644426310890355132677524
absolute error = 4.76e-31
relative error = 2.0869225474245358986334394878480e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 41.42
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.17
y[1] (analytic) = -0.012815261830795605124947346287
y[1] (numeric) = -0.012815261830795605124947346287318
absolute error = 3.18e-31
relative error = 2.4814163315480049344799351535338e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.18
y[1] (analytic) = -0.002818138487085483939420454633
y[1] (numeric) = -0.0028181384870854839394204546332971
absolute error = 2.971e-31
relative error = 1.0542420160027711368357324976188e-26 %
Correct digits = 28
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.68
Order of pole (six term test) = -0.5
bytes used=76032876, alloc=4455632, time=3.02
TOP MAIN SOLVE Loop
x[1] = 25.19
y[1] (analytic) = 0.007182664032572247840757106883
y[1] (numeric) = 0.0071826640325722478407571068835399
absolute error = 5.399e-31
relative error = 7.5167096435478355305706756704826e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 57.82
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.2
y[1] (analytic) = 0.017187144375041836803461285969
y[1] (numeric) = 0.017187144375041836803461285969198
absolute error = 1.98e-31
relative error = 1.1520238364176656894565172617942e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.21
y[1] (analytic) = 0.027195301188182482363695706411
y[1] (numeric) = 0.027195301188182482363695706412314
absolute error = 1.314e-30
relative error = 4.8317170341580515852052651484116e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.22
y[1] (analytic) = 0.037207133120847239792349368186
y[1] (numeric) = 0.037207133120847239792349368187321
absolute error = 1.321e-30
relative error = 3.5503944786862408097063170349557e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.23
y[1] (analytic) = 0.047222638822881924856962232597
y[1] (numeric) = 0.04722263882288192485696223259609
absolute error = 9.10e-31
relative error = 1.9270418229128181166336129093702e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.24
y[1] (analytic) = 0.05724181694512402007153870695
y[1] (numeric) = 0.057241816945124020071538706949233
absolute error = 7.67e-31
relative error = 1.3399295147030351107547238724284e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.25
y[1] (analytic) = 0.067264666139401582552455563082
y[1] (numeric) = 0.067264666139401582552455563081154
absolute error = 8.46e-31
relative error = 1.2577182770025511132501081304277e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.26
y[1] (analytic) = 0.077291185058532153477517327039
y[1] (numeric) = 0.077291185058532153477517327037711
absolute error = 1.289e-30
relative error = 1.6677192865186993673867439775612e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.27
y[1] (analytic) = 0.087321372356321669145218663622
y[1] (numeric) = 0.087321372356321669145218663621164
absolute error = 8.36e-31
relative error = 9.5738302942449966251281858759718e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.28
y[1] (analytic) = 0.097355226687563373631279749172
y[1] (numeric) = 0.097355226687563373631279749172993
absolute error = 9.93e-31
relative error = 1.0199760544821889988433095075640e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.29
y[1] (analytic) = 0.10739274670803673303952707907
y[1] (numeric) = 0.1073927467080367330395270790699
absolute error = 1.0e-31
relative error = 9.3116158274510826849737385738996e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.3
y[1] (analytic) = 0.117433931074506351344198592951
y[1] (numeric) = 0.11743393107450635134419859295062
absolute error = 3.8e-31
relative error = 3.2358620419417597951458455505954e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.31
y[1] (analytic) = 0.127478778444720887820758420728
y[1] (numeric) = 0.12747877844472088782075842072944
absolute error = 1.44e-30
relative error = 1.1295997793267471018248718631178e-27 %
Correct digits = 29
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.32
y[1] (analytic) = 0.137527287477411976062312956035
y[1] (numeric) = 0.13752728747741197606231295603512
absolute error = 1.2e-31
relative error = 8.7255411054122094232268142208632e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.33
y[1] (analytic) = 0.147579456832293144578726350889
y[1] (numeric) = 0.14757945683229314457872635088916
absolute error = 1.6e-31
relative error = 1.0841617352056076163730837017686e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.34
y[1] (analytic) = 0.157635285170058738975539896254
y[1] (numeric) = 0.15763528517005873897553989625326
absolute error = 7.4e-31
relative error = 4.6943804440844547044626630144511e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.35
y[1] (analytic) = 0.167694771152382845709806107581
y[1] (numeric) = 0.16769477115238284570980610758012
absolute error = 8.8e-31
relative error = 5.2476293324635107977753224961497e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.36
y[1] (analytic) = 0.177757913441918217419954672742
y[1] (numeric) = 0.17775791344191821741995467274246
absolute error = 4.6e-31
relative error = 2.5877891515097211515198596211331e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.37
y[1] (analytic) = 0.187824710702295199826813741739
y[1] (numeric) = 0.18782471070229519982681374173918
absolute error = 1.8e-31
relative error = 9.5834035536092225900256366808615e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.38
y[1] (analytic) = 0.197895161598120660202916343434
y[1] (numeric) = 0.1978951615981206602029163434332
absolute error = 8.0e-31
relative error = 4.0425445146790153498523862324674e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 29.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.39
y[1] (analytic) = 0.207969264794976917407228004308
y[1] (numeric) = 0.20796926479497691740722800430926
absolute error = 1.26e-30
relative error = 6.0585875573592583364085455743436e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.4
y[1] (analytic) = 0.218047018959420673482437917899
y[1] (numeric) = 0.21804701895942067348243791789915
absolute error = 1.5e-31
relative error = 6.8792502055676135626863775903746e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.41
y[1] (analytic) = 0.228128422758981946811962271154
y[1] (numeric) = 0.22812842275898194681196227115371
absolute error = 2.9e-31
relative error = 1.2712138035793351191686094194378e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 22.82
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.42
y[1] (analytic) = 0.238213474862163006833814575692
y[1] (numeric) = 0.23821347486216300683381457569154
absolute error = 4.6e-31
relative error = 1.9310410557848118911402245542876e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.43
y[1] (analytic) = 0.248302173938437310308504077571
y[1] (numeric) = 0.24830217393843731030850407757123
absolute error = 2.3e-31
relative error = 9.2629072211435792056189526727273e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.44
y[1] (analytic) = 0.258394518658248439138129529063
y[1] (numeric) = 0.25839451865824843913812952906276
absolute error = 2.4e-31
relative error = 9.2881227220389703302236964078640e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.45
y[1] (analytic) = 0.268490507693009039733841799882
y[1] (numeric) = 0.26849050769300903973384179988122
absolute error = 7.8e-31
relative error = 2.9051306383309790763994696088460e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.89
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.46
y[1] (analytic) = 0.278590139715099763928854983539
y[1] (numeric) = 0.27859013971509976392885498353836
absolute error = 6.4e-31
relative error = 2.2972815931478984439640698926009e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.47
y[1] (analytic) = 0.28869341339786821143419181691
y[1] (numeric) = 0.28869341339786821143419181691057
absolute error = 5.7e-31
relative error = 1.9744129015317847596160973475617e-28 %
Correct digits = 30
h = 0.01
bytes used=80034284, alloc=4455632, time=3.18
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.48
y[1] (analytic) = 0.298800327415627873834355377862
y[1] (numeric) = 0.29880032741562787383435537786146
absolute error = 5.4e-31
relative error = 1.8072269353603020364834462293071e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.49
y[1] (analytic) = 0.30891088044365708012012515684
y[1] (numeric) = 0.30891088044365708012012515683954
absolute error = 4.6e-31
relative error = 1.4891026154188841831793563930296e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.5
y[1] (analytic) = 0.319025071158197943755681713842
y[1] (numeric) = 0.31902507115819794375568171384132
absolute error = 6.8e-31
relative error = 2.1314939215633057393189976221928e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.51
y[1] (analytic) = 0.329142898236455311277270232033
y[1] (numeric) = 0.32914289823645531127727023203361
absolute error = 6.1e-31
relative error = 1.8532983797261752089579847910080e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.52
y[1] (analytic) = 0.33926436035659571242061936371
y[1] (numeric) = 0.33926436035659571242061936371069
absolute error = 6.9e-31
relative error = 2.0338122143886592876431777186253e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.53
y[1] (analytic) = 0.349389456197746311774337833167
y[1] (numeric) = 0.34938945619774631177433783316788
absolute error = 8.8e-31
relative error = 2.5186793258636301055638941946904e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 26.29
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.54
y[1] (analytic) = 0.359518184439993861956517314547
y[1] (numeric) = 0.35951818443999386195651731454732
absolute error = 3.2e-31
relative error = 8.9008015129596392481902279232964e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.55
y[1] (analytic) = 0.369650543764383658311776140801
y[1] (numeric) = 0.36965054376438365831177614079977
absolute error = 1.23e-30
relative error = 3.3274670381223775788912252262040e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.56
y[1] (analytic) = 0.379786532852918495125984422651
y[1] (numeric) = 0.37978653285291849512598442265245
absolute error = 1.45e-30
relative error = 3.8179342198043328475757771072437e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.57
y[1] (analytic) = 0.389926150388557623355917163922
y[1] (numeric) = 0.38992615038855762335591716392177
absolute error = 2.3e-31
relative error = 5.8985528354742874490690213896271e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.58
y[1] (analytic) = 0.400069395055215709871087951706
y[1] (numeric) = 0.40006939505521570987108795170597
absolute error = 3e-32
relative error = 7.4986990684102541955953963930652e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.59
y[1] (analytic) = 0.41021626553776179820502177698
y[1] (numeric) = 0.41021626553776179820502177697993
absolute error = 7e-32
relative error = 1.7064169775968150303351779315669e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.6
y[1] (analytic) = 0.420366760522018270813231502936
y[1] (numeric) = 0.42036676052201827081323150293754
absolute error = 1.54e-30
relative error = 3.6634675826594923616695158058634e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.61
y[1] (analytic) = 0.430520878694759812835168445129
y[1] (numeric) = 0.43052087869475981283516844512918
absolute error = 1.8e-31
relative error = 4.1809818967600028910555943641395e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 61.64
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.62
y[1] (analytic) = 0.440678618743712377357423459068
y[1] (numeric) = 0.44067861874371237735742345906747
absolute error = 5.3e-31
relative error = 1.2026905265132336629538755211252e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 72.94
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.63
y[1] (analytic) = 0.450839979357552152175460847568
y[1] (numeric) = 0.45083997935755215217546084756706
absolute error = 9.4e-31
relative error = 2.0849969901504782895315021400979e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.64
y[1] (analytic) = 0.461004959225904528051173301687
y[1] (numeric) = 0.46100495922590452805117330168698
absolute error = 2e-32
relative error = 4.3383481239731035399386299502772e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.65
y[1] (analytic) = 0.471173557039343068463551975801
y[1] (numeric) = 0.47117355703934306846355197580099
absolute error = 1e-32
relative error = 2.1223601899129917380824832505820e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.36
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.66
y[1] (analytic) = 0.481345771489388480849771669074
y[1] (numeric) = 0.48134577148938848084977166907507
absolute error = 1.07e-30
relative error = 2.2229342468080426657071026866934e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.67
y[1] (analytic) = 0.491521601268507589333996942526
y[1] (numeric) = 0.49152160126850758933399694252529
absolute error = 7.1e-31
relative error = 1.4444939920598574067237504119206e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.68
y[1] (analytic) = 0.501701045070112308941220842906
y[1] (numeric) = 0.50170104507011230894122084290634
absolute error = 3.4e-31
relative error = 6.7769442248717117837144870353465e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.69
y[1] (analytic) = 0.511884101588558621293453731985
y[1] (numeric) = 0.51188410158855862129345373198418
absolute error = 8.2e-31
relative error = 1.6019251183133995422727786875497e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.7
y[1] (analytic) = 0.522070769519145551785585532318
y[1] (numeric) = 0.52207076951914555178558553231794
absolute error = 6e-32
relative error = 1.1492694765359710523333327310172e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.71
y[1] (analytic) = 0.53226104755811414823825049856
y[1] (numeric) = 0.53226104755811414823825049855912
absolute error = 8.8e-31
relative error = 1.6533240672734340569391458491759e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.72
y[1] (analytic) = 0.542454934402646461025029406512
y[1] (numeric) = 0.54245493440264646102502940651273
absolute error = 7.3e-31
relative error = 1.3457339102351035184103624896647e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.73
y[1] (analytic) = 0.552652428750864524671329820838
y[1] (numeric) = 0.55265242875086452467132982083733
absolute error = 6.7e-31
relative error = 1.2123352131363485051875323546463e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.74
y[1] (analytic) = 0.562853529301829340922290856332
y[1] (numeric) = 0.56285352930182934092229085633125
absolute error = 7.5e-31
relative error = 1.3324958642976077911334810607209e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.75
y[1] (analytic) = 0.573058234755539863277064587304
y[1] (numeric) = 0.57305823475553986327706458730283
absolute error = 1.17e-30
relative error = 2.0416773183603385725544708369711e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=84035520, alloc=4521156, time=3.34
x[1] = 25.76
y[1] (analytic) = 0.583266543812931982986831984595
y[1] (numeric) = 0.58326654381293198298683198459454
absolute error = 4.6e-31
relative error = 7.8866172743748762906228067832902e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.77
y[1] (analytic) = 0.593478455175877516513916970467
y[1] (numeric) = 0.59347845517587751651391697046676
absolute error = 2.4e-31
relative error = 4.0439547199548453481089034809621e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 43.87
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.78
y[1] (analytic) = 0.603693967547183194449367877787
y[1] (numeric) = 0.60369396754718319444936787778794
absolute error = 9.4e-31
relative error = 1.5570803263435491861012295543781e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.79
y[1] (analytic) = 0.613913079630589651886381281864
y[1] (numeric) = 0.61391307963058965188638128186542
absolute error = 1.42e-30
relative error = 2.3130310252624974145196899556953e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 41.7
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.8
y[1] (analytic) = 0.624135790130770420246948840827
y[1] (numeric) = 0.62413579013077042024694884082676
absolute error = 2.4e-31
relative error = 3.8453170575222841689707461735161e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.81
y[1] (analytic) = 0.634362097753330920559113433765
y[1] (numeric) = 0.63436209775333092055911343376599
absolute error = 9.9e-31
relative error = 1.5606228737596447756635714137193e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.82
y[1] (analytic) = 0.644592001204807458182226524945
y[1] (numeric) = 0.64459200120480745818222652494415
absolute error = 8.5e-31
relative error = 1.3186635862859983934167770182302e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 125.7
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.83
y[1] (analytic) = 0.65482549919266621897760430722
y[1] (numeric) = 0.65482549919266621897760430721927
absolute error = 7.3e-31
relative error = 1.1148008147208933629424419711198e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.84
y[1] (analytic) = 0.665062590425302266921985788618
y[1] (numeric) = 0.6650625904253022669219857886188
absolute error = 8.0e-31
relative error = 1.2028943012542719126767001920713e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.85
y[1] (analytic) = 0.675303273612038543161201582599
y[1] (numeric) = 0.67530327361203854316120158259785
absolute error = 1.15e-30
relative error = 1.7029385832070977544942644286560e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 32.07
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.86
y[1] (analytic) = 0.68554754746312486650146774509
y[1] (numeric) = 0.68554754746312486650146774509005
absolute error = 5e-32
relative error = 7.2934401392033957772953434597293e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.87
y[1] (analytic) = 0.695795410689736935335724569994
y[1] (numeric) = 0.69579541068973693533572456999454
absolute error = 5.4e-31
relative error = 7.7609020080299455173763714555352e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 25.16
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.88
y[1] (analytic) = 0.706046862003975331002445809294
y[1] (numeric) = 0.70604686200397533100244580929337
absolute error = 6.3e-31
relative error = 8.9229204731803318143075435076792e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.89
y[1] (analytic) = 0.716301900118864522574349324597
y[1] (numeric) = 0.7163019001188645225743493245979
absolute error = 9.0e-31
relative error = 1.2564534588706972011025584629808e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.9
y[1] (analytic) = 0.726560523748351873074445703622
y[1] (numeric) = 0.72656052374835187307444570362115
absolute error = 8.5e-31
relative error = 1.1698956552371155941562883134750e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.91
y[1] (analytic) = 0.736822731607306647116866887905
y[1] (numeric) = 0.73682273160730664711686688790497
absolute error = 3e-32
relative error = 4.0715356235763705718641198411264e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.09
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.92
y[1] (analytic) = 0.747088522411519019969922357137
y[1] (numeric) = 0.74708852241151901996992235713652
absolute error = 4.8e-31
relative error = 6.4249414306434952819385410742110e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.93
y[1] (analytic) = 0.757357894877699088038835900606
y[1] (numeric) = 0.75735789487769908803883590060701
absolute error = 1.01e-30
relative error = 1.3335835102941634740406933560740e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.94
y[1] (analytic) = 0.767630847723475880765621477837
y[1] (numeric) = 0.76763084772347588076562147783694
absolute error = 6e-32
relative error = 7.8162570170204827247134286074203e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.95
y[1] (analytic) = 0.777907379667396373943562128156
y[1] (numeric) = 0.77790737966739637394356212815506
absolute error = 9.4e-31
relative error = 1.2083700766560516100437285424264e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.96
y[1] (analytic) = 0.788187489428924504443761333113
y[1] (numeric) = 0.78818748942892450444376133311265
absolute error = 3.5e-31
relative error = 4.4405678178625995029900428594547e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.97
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.97
y[1] (analytic) = 0.798471175728440186351241666078
y[1] (numeric) = 0.79847117572844018635124166607934
absolute error = 1.34e-30
relative error = 1.6782071046929483759028507856813e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.98
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 25.98
y[1] (analytic) = 0.808758437287238328508070980239
y[1] (numeric) = 0.80875843728723832850807098024042
absolute error = 1.42e-30
relative error = 1.7557776642961603607676069562568e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 25.99
y[1] (analytic) = 0.819049272827527853461001789537
y[1] (numeric) = 0.81904927282752785346100178953768
absolute error = 6.8e-31
relative error = 8.3023088177894237909100671319702e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 25.82
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26
y[1] (analytic) = 0.829343681072430717811114886906
y[1] (numeric) = 0.8293436810724307178111148869047
absolute error = 1.30e-30
relative error = 1.5675045577232347896937939466386e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 18.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.01
y[1] (analytic) = 0.839641660745980933962963620481
y[1] (numeric) = 0.83964166074598093396296362048175
absolute error = 7.5e-31
relative error = 8.9323819322359652612719490517607e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.02
y[1] (analytic) = 0.849943210573123593270720611394
y[1] (numeric) = 0.84994321057312359327072061139382
absolute error = 1.8e-31
relative error = 2.1177885505859214006787647146561e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.03
y[1] (analytic) = 0.860248329279713890578834046175
y[1] (numeric) = 0.86024832927971389057883404617592
absolute error = 9.2e-31
relative error = 1.0694586303588827612697469599664e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 29.59
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.04
y[1] (analytic) = 0.870557015592516150154706013072
bytes used=88037084, alloc=4521156, time=3.51
y[1] (numeric) = 0.87055701559251615015470601307094
absolute error = 1.06e-30
relative error = 1.2176112316762454445583454675980e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 10.9
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.05
y[1] (analytic) = 0.880869268239202853010910674246
y[1] (numeric) = 0.88086926823920285301091067424522
absolute error = 7.8e-31
relative error = 8.8548894611701735265803925850456e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.06
y[1] (analytic) = 0.891185085948353665614475375504
y[1] (numeric) = 0.89118508594835366561447537550349
absolute error = 5.1e-31
relative error = 5.7227169534293096926562804691551e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.67
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.07
y[1] (analytic) = 0.901504467449454469980753091375
y[1] (numeric) = 0.90150446744945446998075309137597
absolute error = 9.7e-31
relative error = 1.0759791382335949830794039790835e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.08
y[1] (analytic) = 0.911827411472896395149419886533
y[1] (numeric) = 0.91182741147289639514941988653364
absolute error = 6.4e-31
relative error = 7.0188721236861354617623722131557e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.09
y[1] (analytic) = 0.9221539167499748500401363444
y[1] (numeric) = 0.92215391674997485004013634440107
absolute error = 1.07e-30
relative error = 1.1603269048306942325580977495654e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.647
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.1
y[1] (analytic) = 0.932483982012888557685417170616
y[1] (numeric) = 0.93248398201288855768541717061684
absolute error = 8.4e-31
relative error = 9.0081976334515709945563665309449e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 35.25
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.11
y[1] (analytic) = 0.942817605994738590838258422678
y[1] (numeric) = 0.94281760599473859083825842267713
absolute error = 8.7e-31
relative error = 9.2276596710568326967949426362852e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.12
y[1] (analytic) = 0.953154787429527408952077047727
y[1] (numeric) = 0.9531547874295274089520770477256
absolute error = 1.40e-30
relative error = 1.4688065553083219483915688751798e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.13
y[1] (analytic) = 0.96349552505215789653052262806
y[1] (numeric) = 0.9634955250521578965305226280595
absolute error = 5.0e-31
relative error = 5.1894376984566999887957984605505e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.14
y[1] (analytic) = 0.973839817598432402844726438545
y[1] (numeric) = 0.97383981759843240284472643854515
absolute error = 1.5e-31
relative error = 1.5402943819848330681888553667854e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.73
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.15
y[1] (analytic) = 0.984187663805051783015558111811
y[1] (numeric) = 0.98418766380505178301555811181201
absolute error = 1.01e-30
relative error = 1.0262270470807904101606469538817e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.16
y[1] (analytic) = 0.99453906240961444045846538586
y[1] (numeric) = 0.99453906240961444045846538586095
absolute error = 9.5e-31
relative error = 9.5521637702022163329578642747297e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.17
y[1] (analytic) = 1.004894012150615370688477574616
y[1] (numeric) = 1.0048940121506153706884775746151
absolute error = 9e-31
relative error = 8.9561684030126983939394916174899e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 128.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.18
y[1] (analytic) = 1.015252511767445206482958554998
y[1] (numeric) = 1.0152525117674452064829585549977
absolute error = 3e-31
relative error = 2.9549298969744219771486950558776e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 161.3
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.19
y[1] (analytic) = 1.025614560000389264399700204379
y[1] (numeric) = 1.0256145600003892643997002043775
absolute error = 1.5e-30
relative error = 1.4625377393232704166415728664626e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.2
y[1] (analytic) = 1.035980155590626592647952349712
y[1] (numeric) = 1.035980155590626592647952349713
absolute error = 1.0e-30
relative error = 9.6526945482839503900299951394597e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.21
y[1] (analytic) = 1.046349297280229020309990404493
y[1] (numeric) = 1.0463492972802290203099904044919
absolute error = 1.1e-30
relative error = 1.0512741804856418480733404195154e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.22
y[1] (analytic) = 1.056721983812160207910826971634
y[1] (numeric) = 1.0567219838121602079108269716336
absolute error = 4e-31
relative error = 3.7852907967049810484969751221734e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.23
y[1] (analytic) = 1.067098213930274699333678779937
y[1] (numeric) = 1.0670982139302746993336787799384
absolute error = 1.4e-30
relative error = 1.3119692093229175319236324258619e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.24
y[1] (analytic) = 1.077477986379316975078805398465
y[1] (numeric) = 1.0774779863793169750788053984656
absolute error = 6e-31
relative error = 5.5685592428314827329215049085710e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.25
y[1] (analytic) = 1.087861299904920506863341237432
y[1] (numeric) = 1.0878612999049205068633412374323
absolute error = 3e-31
relative error = 2.7577044980478680010908332372023e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.26
y[1] (analytic) = 1.098248153253606813559747395891
y[1] (numeric) = 1.098248153253606813559747395891
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.27
y[1] (analytic) = 1.108638545172784518470514955594
y[1] (numeric) = 1.1086385451727845184705149555939
absolute error = 1e-31
relative error = 9.0200724515143672231745583952160e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.28
y[1] (analytic) = 1.119032474410748407936756347125
y[1] (numeric) = 1.1190324744107484079367563471254
absolute error = 4e-31
relative error = 3.5745164608438101989922019924825e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.29
y[1] (analytic) = 1.129429939716678491278326428614
y[1] (numeric) = 1.1294299397166784912783264286149
absolute error = 9e-31
relative error = 7.9686217652931017048965492852190e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 30.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.3
y[1] (analytic) = 1.139830939840639062063119919167
y[1] (numeric) = 1.1398309398406390620631199191674
absolute error = 4e-31
relative error = 3.5092923522143065538680604860918e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.31
y[1] (analytic) = 1.1502354735335777607031968186
y[1] (numeric) = 1.1502354735335777607031968185997
absolute error = 3e-31
relative error = 2.6081616060612860012932027257463e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.32
y[1] (analytic) = 1.160643539547324638375392422185
y[1] (numeric) = 1.1606435395473246383753924221864
absolute error = 1.4e-30
relative error = 1.2062273663678250509816762667194e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=92038652, alloc=4521156, time=3.67
TOP MAIN SOLVE Loop
x[1] = 26.33
y[1] (analytic) = 1.171055136634591222264073503933
y[1] (numeric) = 1.1710551366345912222640735039319
absolute error = 1.1e-30
relative error = 9.3932383334332888361704093341581e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 71.27
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.34
y[1] (analytic) = 1.18147026354896958212370719443
y[1] (numeric) = 1.18147026354896958212370719443
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.74
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.35
y[1] (analytic) = 1.191888919044931398158914019686
y[1] (numeric) = 1.1918889190449313981589140196858
absolute error = 2e-31
relative error = 1.6780087204792653350156838463277e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.36
y[1] (analytic) = 1.202311101877827030219681495388
y[1] (numeric) = 1.202311101877827030219681495388
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.37
y[1] (analytic) = 1.212736810803884588309419587072
y[1] (numeric) = 1.2127368108038845883094195870705
absolute error = 1.5e-30
relative error = 1.2368718312472908257367513377869e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.38
y[1] (analytic) = 1.223166044580209004403544250423
y[1] (numeric) = 1.223166044580209004403544250423
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 40.62
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.39
y[1] (analytic) = 1.233598801964781105576280157735
y[1] (numeric) = 1.233598801964781105576280157735
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.4
y[1] (analytic) = 1.244035081716456688433378596124
y[1] (numeric) = 1.2440350817164566884333785961227
absolute error = 1.3e-30
relative error = 1.0449866077782354399168069515121e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.41
y[1] (analytic) = 1.254474882594965594848451390824
y[1] (numeric) = 1.2544748825949655948484513908236
absolute error = 4e-31
relative error = 3.1885851645955088408230765955867e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.72
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.42
y[1] (analytic) = 1.26491820336091078900062656249
y[1] (numeric) = 1.2649182033609107890006265624883
absolute error = 1.7e-30
relative error = 1.3439604201149678485500405182191e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.43
y[1] (analytic) = 1.27536504277576743571123627108
y[1] (numeric) = 1.2753650427757674357112362710804
absolute error = 4e-31
relative error = 3.1363569376922881197893990988737e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 37.07
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.44
y[1] (analytic) = 1.285815399601881980077252430755
y[1] (numeric) = 1.2858153996018819800772524307556
absolute error = 6e-31
relative error = 4.6662996895648768810637206956634e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.45
y[1] (analytic) = 1.296269272602471228399190199952
y[1] (numeric) = 1.2962692726024712283991901999532
absolute error = 1.2e-30
relative error = 9.2573358434301615557425456652433e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.46
y[1] (analytic) = 1.306726660541621430401204358941
y[1] (numeric) = 1.3067266605416214304012043589408
absolute error = 2e-31
relative error = 1.5305419720839136072962883616972e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.52
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.47
y[1] (analytic) = 1.317187562184287362741108383233
y[1] (numeric) = 1.3171875621842873627411083832326
absolute error = 4e-31
relative error = 3.0367732848667463047978998928421e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.48
y[1] (analytic) = 1.327651976296291413808050805688
y[1] (numeric) = 1.3276519762962914138080508056895
absolute error = 1.5e-30
relative error = 1.1298141582137379093709862395433e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.49
y[1] (analytic) = 1.338119901644322669805588232737
y[1] (numeric) = 1.338119901644322669805588232736
absolute error = 1.0e-30
relative error = 7.4731718642788991391675106931882e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.5
y[1] (analytic) = 1.348591336995936002117899141032
y[1] (numeric) = 1.3485913369959360021178991410334
absolute error = 1.4e-30
relative error = 1.0381202678630427229045453834402e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.51
y[1] (analytic) = 1.359066281119551155956887330154
y[1] (numeric) = 1.3590662811195511559568873301545
absolute error = 5e-31
relative error = 3.6789964326693288947201221332179e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 70.71
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.52
y[1] (analytic) = 1.369544732784451840287928644355
y[1] (numeric) = 1.369544732784451840287928644355
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.53
y[1] (analytic) = 1.380026690760784819032019302455
y[1] (numeric) = 1.380026690760784819032019302454
absolute error = 1.0e-30
relative error = 7.2462366611816566772775456649627e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.54
y[1] (analytic) = 1.390512153819559003542088889163
y[1] (numeric) = 1.3905121538195590035420888891638
absolute error = 8e-31
relative error = 5.7532758545295871093037269108047e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.55
y[1] (analytic) = 1.401001120732644546351245763968
y[1] (numeric) = 1.4010011207326445463512457639683
absolute error = 3e-31
relative error = 2.1413259101685580736397900463077e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.56
y[1] (analytic) = 1.411493590272771936190727334882
y[1] (numeric) = 1.4114935902727719361907273348813
absolute error = 7e-31
relative error = 4.9592857156703389869546518799876e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.57
y[1] (analytic) = 1.421989561213531094275332324149
y[1] (numeric) = 1.4219895612135310942753323241499
absolute error = 9e-31
relative error = 6.3291603859028100537188742081017e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.58
y[1] (analytic) = 1.432489032329370471854116821234
y[1] (numeric) = 1.4324890323293704718541168212343
absolute error = 3e-31
relative error = 2.0942568719857490859241197289205e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.59
y[1] (analytic) = 1.44299200239559614902414057523
y[1] (numeric) = 1.4429920023955961490241405752301
absolute error = 1e-31
relative error = 6.9300453387117947112799853969617e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.6
y[1] (analytic) = 1.453498470188370934805054624329
y[1] (numeric) = 1.453498470188370934805054624329
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.61
y[1] (analytic) = 1.464008434484713468472325993977
y[1] (numeric) = 1.4640084344847134684723259939772
absolute error = 2e-31
relative error = 1.3661123480507400857319462412338e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.33
bytes used=96040312, alloc=4521156, time=3.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 80.42
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.62
y[1] (analytic) = 1.474521894062497322146899818113
y[1] (numeric) = 1.4745218940624973221468998181131
absolute error = 1e-31
relative error = 6.7818592862319017932692837800198e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.63
y[1] (analytic) = 1.485038847700450104639103849285
y[1] (numeric) = 1.4850388477004501046391038492838
absolute error = 1.2e-30
relative error = 8.0805966918520247986791235952580e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.64
y[1] (analytic) = 1.495559294178152566544604923581
y[1] (numeric) = 1.495559294178152566544604923581
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.65
y[1] (analytic) = 1.506083232276037706590231535238
y[1] (numeric) = 1.5060832322760377065902315352373
absolute error = 7e-31
relative error = 4.6478174977231451689640445630212e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.66
y[1] (analytic) = 1.516610660775389879227481253408
y[1] (numeric) = 1.5166106607753898792274812534088
absolute error = 8e-31
relative error = 5.2749200614941479908781826727561e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.67
y[1] (analytic) = 1.527141578458343903471536280179
y[1] (numeric) = 1.5271415784583439034715362801783
absolute error = 7e-31
relative error = 4.5837269436842460851289243709848e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.68
y[1] (analytic) = 1.537675984107884172983615004168
y[1] (numeric) = 1.5376759841078841729836150041678
absolute error = 2e-31
relative error = 1.3006641325417741100203589370608e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.69
y[1] (analytic) = 1.548213876507843767394491948388
y[1] (numeric) = 1.5482138765078437673944919483888
absolute error = 8e-31
relative error = 5.1672447336829365605021287580195e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.7
y[1] (analytic) = 1.558755254442903564867023044112
y[1] (numeric) = 1.5587552544429035648670230441102
absolute error = 1.8e-30
relative error = 1.1547675588386817598483347684006e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 79.86
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.71
y[1] (analytic) = 1.569300116698591355895517684616
y[1] (numeric) = 1.5693001166985913558955176846163
absolute error = 3e-31
relative error = 1.9116802248834579960357416508022e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.72
y[1] (analytic) = 1.579848462061280958339803523798
y[1] (numeric) = 1.5798484620612809583398035237979
absolute error = 1e-31
relative error = 6.3297210081482540510882794292298e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.73
y[1] (analytic) = 1.590400289318191333691834484594
y[1] (numeric) = 1.5904002893181913336918344845926
absolute error = 1.4e-30
relative error = 8.8028153000411209428779408290785e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.74
y[1] (analytic) = 1.6009555972573857045726969314
y[1] (numeric) = 1.6009555972573857045726969314003
absolute error = 3e-31
relative error = 1.8738808278876268314322739677845e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 7.561
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.75
y[1] (analytic) = 1.611514384667770673457873438776
y[1] (numeric) = 1.6115143846677706734578734387752
absolute error = 8e-31
relative error = 4.9642746450875011097760538122891e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.98
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.76
y[1] (analytic) = 1.62207665033909534262862805597
y[1] (numeric) = 1.6220766503390953426286280559685
absolute error = 1.5e-30
relative error = 9.2474051684698426402796518644085e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.77
y[1] (analytic) = 1.632642393061950435347381423295
y[1] (numeric) = 1.6326423930619504353473814232944
absolute error = 6e-31
relative error = 3.6750240135240263006266955456077e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.78
y[1] (analytic) = 1.643211611627767418254948541851
y[1] (numeric) = 1.6432116116277674182549485418502
absolute error = 8e-31
relative error = 4.8685147691204483904131622166226e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.79
y[1] (analytic) = 1.653784304828817624987516432862
y[1] (numeric) = 1.6537843048288176249875164328625
absolute error = 5e-31
relative error = 3.0233688791220856732383543625926e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.8
y[1] (analytic) = 1.664360471458211381011243346895
y[1] (numeric) = 1.6643604714582113810112433468954
absolute error = 4e-31
relative error = 2.4033255226828617063640402271617e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.81
y[1] (analytic) = 1.674940110309897129672365596364
y[1] (numeric) = 1.674940110309897129672365596363
absolute error = 1.0e-30
relative error = 5.9703627242826023962384759172885e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.82
y[1] (analytic) = 1.685523220178660559460702487274
y[1] (numeric) = 1.6855232201786605594607024872752
absolute error = 1.2e-30
relative error = 7.1194510145805258610925438978530e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.83
y[1] (analytic) = 1.696109799860123732484454217937
y[1] (numeric) = 1.696109799860123732484454217938
absolute error = 1.0e-30
relative error = 5.8958447152564584867213957701394e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.84
y[1] (analytic) = 1.70669984815074421415419199346
y[1] (numeric) = 1.7066998481507442141541919934589
absolute error = 1.1e-30
relative error = 6.4451871908928800243451996729463e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.85
y[1] (analytic) = 1.717293363847814204073943975404
y[1] (numeric) = 1.7172933638478142040739439754031
absolute error = 9e-31
relative error = 5.2408052051365034631538447481074e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.86
y[1] (analytic) = 1.727890345749459668137285045838
y[1] (numeric) = 1.7278903457494596681372850458374
absolute error = 6e-31
relative error = 3.4724425741250057976164531010570e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.87
y[1] (analytic) = 1.738490792654639471826342714314
y[1] (numeric) = 1.7384907926546394718263427143152
absolute error = 1.2e-30
relative error = 6.9025387138670135113912155446600e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.88
y[1] (analytic) = 1.749094703363144514711635835124
y[1] (numeric) = 1.7490947033631445147116358351254
absolute error = 1.4e-30
relative error = 8.0041406409160797917474731382755e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.48
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.89
y[1] (analytic) = 1.759702076675596866150667130385
y[1] (numeric) = 1.7597020766755968661506671303838
absolute error = 1.2e-30
relative error = 6.8193361586923978044789711182382e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=100042808, alloc=4521156, time=3.99
x[1] = 26.9
y[1] (analytic) = 1.77031291139344890218319483231
y[1] (numeric) = 1.7703129113934489021831948323103
absolute error = 3e-31
relative error = 1.6946156697454348086806780462796e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.91
y[1] (analytic) = 1.780927206318982443621113065347
y[1] (numeric) = 1.780927206318982443621113065346
absolute error = 1.0e-30
relative error = 5.6150526335487385383282516198293e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.92
y[1] (analytic) = 1.791544960255307895330874885642
y[1] (numeric) = 1.7915449602553078953308748856415
absolute error = 5e-31
relative error = 2.7908872570451508223930054881586e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.93
y[1] (analytic) = 1.802166172006363386706396181928
y[1] (numeric) = 1.8021661720063633867063961819277
absolute error = 3e-31
relative error = 1.6646633626798578612357275044953e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.94
y[1] (analytic) = 1.812790840376913913330382917888
y[1] (numeric) = 1.8127908403769139133303829178871
absolute error = 9e-31
relative error = 4.9647205841622234454977230915857e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.95
y[1] (analytic) = 1.823418964172550479822028461908
y[1] (numeric) = 1.8234189641725504798220284619075
absolute error = 5e-31
relative error = 2.7421015675730621932889646732135e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 30.68
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.96
y[1] (analytic) = 1.834050542199689243869032005549
y[1] (numeric) = 1.8340505421996892438690320055493
absolute error = 3e-31
relative error = 1.6357237333284807396071233975128e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.97
y[1] (analytic) = 1.844685573265570661441893317222
y[1] (numeric) = 1.8446855732655706614418933172222
absolute error = 2e-31
relative error = 1.0841956098022074436055834515975e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 29.76
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 26.98
y[1] (analytic) = 1.855324056178258633188443312471
y[1] (numeric) = 1.8553240561782586331884433124716
absolute error = 6e-31
relative error = 3.2339364005009823024837342441978e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 26.99
y[1] (analytic) = 1.865965989746639652006574146954
y[1] (numeric) = 1.8659659897466396520065741469531
absolute error = 9e-31
relative error = 4.8232390351455534944663985980791e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27
y[1] (analytic) = 1.876611372780421951793136752648
y[1] (numeric) = 1.8766113727804219517931367526487
absolute error = 7e-31
relative error = 3.7301276660327764903031413567982e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.01
y[1] (analytic) = 1.88726020409013465736697794218
y[1] (numeric) = 1.8872602040901346573669779421808
absolute error = 8e-31
relative error = 4.2389491298879334460768939319546e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.02
y[1] (analytic) = 1.897912482487126935564093400241
y[1] (numeric) = 1.8979124824871269355640934002392
absolute error = 1.8e-30
relative error = 9.4841043336265056079600525155503e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.03
y[1] (analytic) = 1.908568206783567147502877065176
y[1] (numeric) = 1.9085682067835671475028770651763
absolute error = 3e-31
relative error = 1.5718589408212865165290146703528e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.04
y[1] (analytic) = 1.919227375792442002017451577779
y[1] (numeric) = 1.9192273757924420020174515777791
absolute error = 1e-31
relative error = 5.2104300543707263326955007347000e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.05
y[1] (analytic) = 1.929889988327555710257068638116
y[1] (numeric) = 1.9298899883275557102570686381168
absolute error = 8e-31
relative error = 4.1453140066977635029305821208916e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.06
y[1] (analytic) = 1.940556043203529141449572265222
y[1] (numeric) = 1.9405560432035291414495722652204
absolute error = 1.6e-30
relative error = 8.2450594797492741738281110105648e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 9.14
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.07
y[1] (analytic) = 1.951225539235798979826922098203
y[1] (numeric) = 1.9512255392357989798269220982036
absolute error = 6e-31
relative error = 3.0749905017899216707107999778297e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 56.57
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.08
y[1] (analytic) = 1.961898475240616882710778011305
y[1] (numeric) = 1.9618984752406168827107780113055
absolute error = 5e-31
relative error = 2.5485518558175011563870167598418e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.09
y[1] (analytic) = 1.972574850035048639756151439261
y[1] (numeric) = 1.9725748500350486397561514392609
absolute error = 1e-31
relative error = 5.0695161199192620527301902712253e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 97.98
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.1
y[1] (analytic) = 1.983254662436973333351132923402
y[1] (numeric) = 1.9832546624369733333511329234004
absolute error = 1.6e-30
relative error = 8.0675468980567545187948976709689e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 86.15
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.11
y[1] (analytic) = 1.993937911265082500170709492986
y[1] (numeric) = 1.9939379112650825001707094929874
absolute error = 1.4e-30
relative error = 7.0212818167028577358872762087653e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.12
y[1] (analytic) = 2.004624595338879293882689590532
y[1] (numeric) = 2.0046245953388792938826895905315
absolute error = 5e-31
relative error = 2.4942325917909613498055920384674e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.13
y[1] (analytic) = 2.01531471347867764900375733421
y[1] (numeric) = 2.0153147134786776490037573342103
absolute error = 3e-31
relative error = 1.4886012491923090791887495978867e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 69.82
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.14
y[1] (analytic) = 2.026008264505601445903681985109
y[1] (numeric) = 2.0260082645056014459036819851091
absolute error = 1e-31
relative error = 4.9358140216867571937621217976547e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.15
y[1] (analytic) = 2.036705247241583676955712551777
y[1] (numeric) = 2.0367052472415836769557125517758
absolute error = 1.2e-30
relative error = 5.8918687504007891835797474908499e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.05
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.16
y[1] (analytic) = 2.047405660509365613831191519617
y[1] (numeric) = 2.0474056605093656138311915196173
absolute error = 3e-31
relative error = 1.4652689781338410325216417140521e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.17
y[1] (analytic) = 2.058109503132495975936425737958
y[1] (numeric) = 2.0581095031324959759364257379575
absolute error = 5e-31
relative error = 2.4294139803493791183957292061099e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.18
y[1] (analytic) = 2.068816773935330099989856533163
y[1] (numeric) = 2.0688167739353300999898565331621
absolute error = 9e-31
relative error = 4.3503127552857584723436613652449e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=104044496, alloc=4521156, time=4.15
TOP MAIN SOLVE Loop
x[1] = 27.19
y[1] (analytic) = 2.079527471743029110737575142144
y[1] (numeric) = 2.0795274717430291107375751421419
absolute error = 2.1e-30
relative error = 1.0098447981741790212828949525711e-28 %
Correct digits = 30
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.2
y[1] (analytic) = 2.090241595381559092805233576797
y[1] (numeric) = 2.0902415953815590928052335767957
absolute error = 1.3e-30
relative error = 6.2193767594730791135373509498628e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.09
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.21
y[1] (analytic) = 2.100959143677690263684405036578
y[1] (numeric) = 2.1009591436776902636844050365775
absolute error = 5e-31
relative error = 2.3798654129216392766300162198100e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 31.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.22
y[1] (analytic) = 2.111680115458996147851451983395
y[1] (numeric) = 2.1116801154589961478514519833933
absolute error = 1.7e-30
relative error = 8.0504617510710750183073641427238e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 22.49
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.23
y[1] (analytic) = 2.12240450955385275201696398048
y[1] (numeric) = 2.1224045095538527520169639804786
absolute error = 1.4e-30
relative error = 6.5962920531783630380703897736014e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.24
y[1] (analytic) = 2.133132324791437741503831374804
y[1] (numeric) = 2.1331323247914377415038313748042
absolute error = 2e-31
relative error = 9.3758834215572891952667649430496e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.25
y[1] (analytic) = 2.143863560001729617752024870934
y[1] (numeric) = 2.143863560001729617752024870932
absolute error = 2.0e-30
relative error = 9.3289518853447299039922679905860e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.26
y[1] (analytic) = 2.154598214015506896948155003117
y[1] (numeric) = 2.1545982140155068969481550031181
absolute error = 1.1e-30
relative error = 5.1053602144686599583670795545843e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.27
y[1] (analytic) = 2.165336285664347289777889461867
y[1] (numeric) = 2.1653362856643472897778894618669
absolute error = 1e-31
relative error = 4.6182203042572197312388805259467e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 10.77
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.28
y[1] (analytic) = 2.176077773780626882299310171102
y[1] (numeric) = 2.1760777737806268822993101711002
absolute error = 1.8e-30
relative error = 8.2717631772542530812485699903552e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.29
y[1] (analytic) = 2.186822677197519317935295942647
y[1] (numeric) = 2.1868226771975193179352959426463
absolute error = 7e-31
relative error = 3.2009911333875117002074003886595e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.3
y[1] (analytic) = 2.197570994748994980583020455903
y[1] (numeric) = 2.197570994748994980583020455902
absolute error = 1.0e-30
relative error = 4.5504786984787233206398429695818e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.31
y[1] (analytic) = 2.208322725269820178838659222299
y[1] (numeric) = 2.2083227252698201788386592222997
absolute error = 7e-31
relative error = 3.1698265474964565399140093415853e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.32
y[1] (analytic) = 2.219077867595556331335403096651
y[1] (numeric) = 2.2190778675955563313354030966495
absolute error = 1.5e-30
relative error = 6.7595645105743820023677120849850e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.33
y[1] (analytic) = 2.229836420562559153192879790547
y[1] (numeric) = 2.2298364205625591531928797905463
absolute error = 7e-31
relative error = 3.1392437290238490705673760935036e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.34
y[1] (analytic) = 2.240598383007977843576088726862
y[1] (numeric) = 2.2405983830079778435760887268614
absolute error = 6e-31
relative error = 2.6778560787610085868228381827943e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.35
y[1] (analytic) = 2.251363753769754274361958448901
y[1] (numeric) = 2.2513637537697542743619584488999
absolute error = 1.1e-30
relative error = 4.8859274657776887682685955590348e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.36
y[1] (analytic) = 2.26213253168662217991163966313
y[1] (numeric) = 2.2621325316866221799116396631285
absolute error = 1.5e-30
relative error = 6.6309112264152613783874668998440e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.37
y[1] (analytic) = 2.272904715598106347946650850484
y[1] (numeric) = 2.2729047155981063479466508504842
absolute error = 2e-31
relative error = 8.7993129948419659291417171377466e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.38
y[1] (analytic) = 2.283680304344521811526997228188
y[1] (numeric) = 2.2836803043445218115269972281888
absolute error = 8e-31
relative error = 3.5031173079614648544385476728370e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.16
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.39
y[1] (analytic) = 2.294459296766973042129387681746
y[1] (numeric) = 2.2944592967669730421293876817466
absolute error = 6e-31
relative error = 2.6149951792364980756787849634841e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.4
y[1] (analytic) = 2.30524169170735314382367811541
y[1] (numeric) = 2.3052416917073531438236781154106
absolute error = 6e-31
relative error = 2.6027639624876655627444037710582e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 8.356
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.41
y[1] (analytic) = 2.316027488008343048545673488896
y[1] (numeric) = 2.3160274880083430485456734888964
absolute error = 4e-31
relative error = 1.7270952183040716832591792528516e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.42
y[1] (analytic) = 2.326816684513410712464424618527
y[1] (numeric) = 2.3268166845134107124644246185264
absolute error = 6e-31
relative error = 2.5786302977515110432520198156928e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 23.05
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.43
y[1] (analytic) = 2.337609280066810313442159622324
y[1] (numeric) = 2.3376092800668103134421596223238
absolute error = 2e-31
relative error = 8.5557497442123380336069236865424e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.44
y[1] (analytic) = 2.348405273513581449584993680869
y[1] (numeric) = 2.3484052735135814495849936808699
absolute error = 9e-31
relative error = 3.8323879193707451094611619205825e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.45
y[1] (analytic) = 2.359204663699548338882564569017
y[1] (numeric) = 2.3592046636995483388825645690171
absolute error = 1e-31
relative error = 4.2387166123682813502576725948642e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.46
y[1] (analytic) = 2.370007449471319019934745187836
y[1] (numeric) = 2.3700074494713190199347451878355
absolute error = 5e-31
relative error = 2.1096980100696971275788037261577e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=108047712, alloc=4521156, time=4.31
x[1] = 27.47
y[1] (analytic) = 2.380813629676284553763588091489
y[1] (numeric) = 2.3808136296762845537635880914881
absolute error = 9e-31
relative error = 3.7802202943637027562975966406698e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.48
y[1] (analytic) = 2.391623203162618226708660760103
y[1] (numeric) = 2.3916232031626182267086607601032
absolute error = 2e-31
relative error = 8.3625213091897325993145490819764e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 43.81
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.49
y[1] (analytic) = 2.402436168779274754403934117167
y[1] (numeric) = 2.4024361687792747544039341171683
absolute error = 1.3e-30
relative error = 5.4111739445737518356014535880548e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 102.8
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.5
y[1] (analytic) = 2.413252525375989486834390528527
y[1] (numeric) = 2.4132525253759894868343905285258
absolute error = 1.2e-30
relative error = 4.9725421910126775536425834425431e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.51
y[1] (analytic) = 2.424072271803277614470521249742
y[1] (numeric) = 2.424072271803277614470521249742
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.52
y[1] (analytic) = 2.434895406912433375478887009459
y[1] (numeric) = 2.4348954069124333754788870094587
absolute error = 3e-31
relative error = 1.2320857772712902376574727023717e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.53
y[1] (analytic) = 2.445721929555529264006919128357
y[1] (numeric) = 2.4457219295555292640069191283568
absolute error = 2e-31
relative error = 8.1775445353408100806615927866758e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.54
y[1] (analytic) = 2.456551838585415239540142276576
y[1] (numeric) = 2.4565518385854152395401422765768
absolute error = 8e-31
relative error = 3.2565972654608147258460111686342e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.55
y[1] (analytic) = 2.467385132855717937330003666889
y[1] (numeric) = 2.4673851328557179373300036668869
absolute error = 2.1e-30
relative error = 8.5110345038412734951296019538503e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.56
y[1] (analytic) = 2.478221811220839879890497166579
y[1] (numeric) = 2.4782218112208398798904971665783
absolute error = 7e-31
relative error = 2.8246059203843454381591406109767e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.57
y[1] (analytic) = 2.489061872535958689561774488033
y[1] (numeric) = 2.4890618725359586895617744880325
absolute error = 5e-31
relative error = 2.0087889558590177559120296498076e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 25.37
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.58
y[1] (analytic) = 2.499905315657026302138939286162
y[1] (numeric) = 2.4999053156570263021389392861627
absolute error = 7e-31
relative error = 2.8001060504806585748851943371251e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 83.91
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.59
y[1] (analytic) = 2.510752139440768181564223650512
y[1] (numeric) = 2.5107521394407681815642236505108
absolute error = 1.2e-30
relative error = 4.7794442993774834845519140518167e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 33.07
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.6
y[1] (analytic) = 2.521602342744682535680750130701
y[1] (numeric) = 2.5216023427446825356807501307021
absolute error = 1.1e-30
relative error = 4.3623055917797316237181517461757e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.61
y[1] (analytic) = 2.532455924427039533046086076246
y[1] (numeric) = 2.5324559244270395330460860762461
absolute error = 1e-31
relative error = 3.9487360484911379653018977233946e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.62
y[1] (analytic) = 2.54331288334688052080380070535
y[1] (numeric) = 2.5433128833468805208038007053484
absolute error = 1.6e-30
relative error = 6.2910073332954418490420345525021e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 39.33
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.63
y[1] (analytic) = 2.554173218364017243611238942489
y[1] (numeric) = 2.5541732183640172436112389424887
absolute error = 3e-31
relative error = 1.1745483737870922027990505385741e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.64
y[1] (analytic) = 2.565036928339031063621729681044
y[1] (numeric) = 2.5650369283390310636217296810423
absolute error = 1.7e-30
relative error = 6.6275848944631813285094500508131e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 40.64
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.65
y[1] (analytic) = 2.575904012133272181519449735208
y[1] (numeric) = 2.5759040121332721815194497352087
absolute error = 7e-31
relative error = 2.7174925645629352114452211659186e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.66
y[1] (analytic) = 2.586774468608858858605168344977
y[1] (numeric) = 2.5867744686088588586051683449755
absolute error = 1.5e-30
relative error = 5.7987274043518947594714681018522e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 24.49
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.67
y[1] (analytic) = 2.597648296628676639931100688817
y[1] (numeric) = 2.5976482966286766399311006888154
absolute error = 1.6e-30
relative error = 6.1594173548302853826490405029148e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.68
y[1] (analytic) = 2.608525495056377578483102441317
y[1] (numeric) = 2.6085254950563775784831024413158
absolute error = 1.2e-30
relative error = 4.6003000632894508942248532074507e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.69
y[1] (analytic) = 2.619406062756379460408440986987
y[1] (numeric) = 2.6194060627563794604084409869855
absolute error = 1.5e-30
relative error = 5.7264889981264009694279614920719e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.7
y[1] (analytic) = 2.630289998593865031287382467111
y[1] (numeric) = 2.6302899985938650312873824671097
absolute error = 1.3e-30
relative error = 4.9424208003489009643283409675568e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.89
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.71
y[1] (analytic) = 2.641177301434781223446837393743
y[1] (numeric) = 2.6411773014347812234468373937412
absolute error = 1.8e-30
relative error = 6.8151426222774825947671237027493e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.72
y[1] (analytic) = 2.652067970145838384314311113755
y[1] (numeric) = 2.6520679701458383843143111137534
absolute error = 1.6e-30
relative error = 6.0330278786633635794985070702030e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.73
y[1] (analytic) = 2.66296200359450950581040894636
y[1] (numeric) = 2.6629620035945095058104089463609
absolute error = 9e-31
relative error = 3.3796952370524451132508922774156e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.74
y[1] (analytic) = 2.673859400649029454778149349657
y[1] (numeric) = 2.6738594006490294547781493496561
absolute error = 9e-31
relative error = 3.3659211841188874811611618795647e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.75
y[1] (analytic) = 2.684760160178394204447341995539
y[1] (numeric) = 2.6847601601783942044473419955383
absolute error = 7e-31
relative error = 2.6073092501249240604701793357712e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=112048628, alloc=4521156, time=4.47
TOP MAIN SOLVE Loop
x[1] = 27.76
y[1] (analytic) = 2.695664281052360066932291147952
y[1] (numeric) = 2.6956642810523600669322911479511
absolute error = 9e-31
relative error = 3.3386946821458386653513547698256e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.77
y[1] (analytic) = 2.706571762141442926761088246612
y[1] (numeric) = 2.7065717621414429267610882466123
absolute error = 3e-31
relative error = 1.1084132488053434387483297490834e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 107.7
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.78
y[1] (analytic) = 2.717482602316917475434761097443
y[1] (numeric) = 2.7174826023169174754347610974416
absolute error = 1.4e-30
relative error = 5.1518269107090666192906202922109e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.79
y[1] (analytic) = 2.728396800450816447014550561691
y[1] (numeric) = 2.72839680045081644701455056169
absolute error = 1.0e-30
relative error = 3.6651560353492891423966986714871e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.8
y[1] (analytic) = 2.739314355415929854735589118369
y[1] (numeric) = 2.7393143554159298547355891183679
absolute error = 1.1e-30
relative error = 4.0156033856617345646429012689793e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.81
y[1] (analytic) = 2.750235266085804228645259148985
y[1] (numeric) = 2.7502352660858042286452591489841
absolute error = 9e-31
relative error = 3.2724473105928131832530762390898e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 40.95
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.82
y[1] (analytic) = 2.761159531334741854264512259863
y[1] (numeric) = 2.7611595313347418542645122598632
absolute error = 2e-31
relative error = 7.2433337418689528925266863570851e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.83
y[1] (analytic) = 2.772087150037800012270434415426
y[1] (numeric) = 2.7720871500378000122704344154262
absolute error = 2e-31
relative error = 7.2147803865860715139704597459952e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.84
y[1] (analytic) = 2.783018121070790219198345105825
y[1] (numeric) = 2.783018121070790219198345105825
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.75
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.85
y[1] (analytic) = 2.793952443310277469161722214231
y[1] (numeric) = 2.7939524433102774691617222142298
absolute error = 1.2e-30
relative error = 4.2949907858067865935064356114244e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.75
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.86
y[1] (analytic) = 2.804890115633579476588247682909
y[1] (numeric) = 2.8048901156335794765882476829091
absolute error = 1e-31
relative error = 3.5652020534648150196908575394706e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.87
y[1] (analytic) = 2.815831136918765919970272503032
y[1] (numeric) = 2.8158311369187659199702725030304
absolute error = 1.6e-30
relative error = 5.6821589157892691319106097070422e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 31.15
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.88
y[1] (analytic) = 2.826775506044657686628002970871
y[1] (numeric) = 2.8267755060446576866280029708702
absolute error = 8e-31
relative error = 2.8300797084498351342541232742359e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.89
y[1] (analytic) = 2.837723221890826118483713562879
y[1] (numeric) = 2.8377232218908261184837135628777
absolute error = 1.3e-30
relative error = 4.5811374061131535372778597243256e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 12.03
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.9
y[1] (analytic) = 2.848674283337592258845295183803
y[1] (numeric) = 2.8486742833375922588452951838026
absolute error = 4e-31
relative error = 1.4041619371497537403271559733833e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.91
y[1] (analytic) = 2.859628689266026100197450935905
y[1] (numeric) = 2.8596286892660261001974509359053
absolute error = 3e-31
relative error = 1.0490872508241630002392184252425e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.92
y[1] (analytic) = 2.870586438557945832998854943128
y[1] (numeric) = 2.8705864385579458329988549431263
absolute error = 1.7e-30
relative error = 5.9221348542773856495167666614364e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.93
y[1] (analytic) = 2.881547530095917095483593142037
y[1] (numeric) = 2.8815475300959170954835931420358
absolute error = 1.2e-30
relative error = 4.1644289655706494868313759848722e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 20.82
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 27.94
y[1] (analytic) = 2.892511962763252224465208321421
y[1] (numeric) = 2.892511962763252224465208321421
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.95
y[1] (analytic) = 2.903479735444009507141675054535
y[1] (numeric) = 2.9034797354440095071416750545335
absolute error = 1.5e-30
relative error = 5.1662148066296565730707061707606e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.96
y[1] (analytic) = 2.914450847022992433899633522318
y[1] (numeric) = 2.914450847022992433899633522318
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.97
y[1] (analytic) = 2.925425296385748952116214572415
y[1] (numeric) = 2.9254252963857489521162145724133
absolute error = 1.7e-30
relative error = 5.8111208722379100576812553046168e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.98
y[1] (analytic) = 2.936403082418570720956791697364
y[1] (numeric) = 2.9364030824185707209567916973628
absolute error = 1.2e-30
relative error = 4.0866324081488807423325450528839e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 27.99
y[1] (analytic) = 2.947384204008492367166998946328
y[1] (numeric) = 2.9473842040084923671669989463278
absolute error = 2e-31
relative error = 6.7856779488740089384631694293189e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28
y[1] (analytic) = 2.958368660043290741857357107675
y[1] (numeric) = 2.9583686600432907418573571076754
absolute error = 4e-31
relative error = 1.3520965300996214373597471161061e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 63.33
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.01
y[1] (analytic) = 2.96935644941148417827885381514
y[1] (numeric) = 2.9693564494114841782788538151396
absolute error = 4e-31
relative error = 1.3470932399486042455574351728698e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.02
y[1] (analytic) = 2.980347571002331750587826537844
y[1] (numeric) = 2.9803475710023317505878265378455
absolute error = 1.5e-30
relative error = 5.0329700287122197430364865771435e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 52.39
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.03
y[1] (analytic) = 2.991342023705832533598500714368
y[1] (numeric) = 2.9913420237058325335985007143667
absolute error = 1.3e-30
relative error = 4.3458754956729799827993458474433e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=116052160, alloc=4521156, time=4.63
x[1] = 28.04
y[1] (analytic) = 3.002339806412724863521538583175
y[1] (numeric) = 3.0023398064127248635215385831746
absolute error = 4e-31
relative error = 1.3322942298058213354124443260152e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.05
y[1] (analytic) = 3.013340918014485599686957546354
y[1] (numeric) = 3.0133409180144855996869575463544
absolute error = 4e-31
relative error = 1.3274302871231815185700108280678e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.06
y[1] (analytic) = 3.024345357403329387249780180327
y[1] (numeric) = 3.0243453574033293872497801803267
absolute error = 3e-31
relative error = 9.9195020590365643591099472682987e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.07
y[1] (analytic) = 3.03535312347220792087678127655
y[1] (numeric) = 3.0353531234722079208767812765499
absolute error = 1e-31
relative error = 3.2945095984617360357784586158052e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.08
y[1] (analytic) = 3.0463642151148092094127005568
y[1] (numeric) = 3.0463642151148092094127005568013
absolute error = 1.3e-30
relative error = 4.2673820600633812393381799745766e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.09
y[1] (analytic) = 3.057378631225556841524292961671
y[1] (numeric) = 3.057378631225556841524292961669
absolute error = 2.0e-30
relative error = 6.5415515748479463641901253000729e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.1
y[1] (analytic) = 3.068396370699609252320591657351
y[1] (numeric) = 3.0683963706996092523205916573507
absolute error = 3e-31
relative error = 9.7770940829133670624127672568411e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.11
y[1] (analytic) = 3.07941743243285899094776214477
y[1] (numeric) = 3.0794174324328589909477621447689
absolute error = 1.1e-30
relative error = 3.5721042182025884474335153383884e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.12
y[1] (analytic) = 3.090441815321931989156929086395
y[1] (numeric) = 3.0904418153219319891569290863962
absolute error = 1.2e-30
relative error = 3.8829399539269298350648251560878e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 32.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.13
y[1] (analytic) = 3.101469518264186830843360690058
y[1] (numeric) = 3.1014695182641868308433606900591
absolute error = 1.1e-30
relative error = 3.5467058229082382452459682329411e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.14
y[1] (analytic) = 3.112500540157714022555398705372
y[1] (numeric) = 3.1125005401577140225553987053711
absolute error = 9e-31
relative error = 2.8915657632444810859358891026024e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.15
y[1] (analytic) = 3.123534879901335264971525297364
y[1] (numeric) = 3.1235348799013352649715252973631
absolute error = 9e-31
relative error = 2.8813508880311551769486416642814e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.16
y[1] (analytic) = 3.134572536394602725343961263341
y[1] (numeric) = 3.1345725363946027253439612633396
absolute error = 1.4e-30
relative error = 4.4663187204794607632726514919935e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.17
y[1] (analytic) = 3.145613508537798310907193253025
y[1] (numeric) = 3.1456135085377983109071932530255
absolute error = 5e-31
relative error = 1.5895150457705757961232071247874e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.18
y[1] (analytic) = 3.156657795231932943249830838689
y[1] (numeric) = 3.1566577952319329432498308386898
absolute error = 8e-31
relative error = 2.5343260242158134553349595254509e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.19
y[1] (analytic) = 3.167705395378745833648197461165
y[1] (numeric) = 3.1677053953787458336481974611637
absolute error = 1.3e-30
relative error = 4.1039169927118991244993375596318e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.55
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.2
y[1] (analytic) = 3.178756307880703759360062449532
y[1] (numeric) = 3.1787563078807037593600624495323
absolute error = 3e-31
relative error = 9.4376533129087782090822262071203e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.21
y[1] (analytic) = 3.189810531641000340876924476784
y[1] (numeric) = 3.1898105316410003408769244767852
absolute error = 1.2e-30
relative error = 3.7619789266375615416304851973447e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 24.49
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.22
y[1] (analytic) = 3.200868065563555320133259970891
y[1] (numeric) = 3.2008680655635553201332599708891
absolute error = 1.9e-30
relative error = 5.9358897682822168246287817393540e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.1
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.23
y[1] (analytic) = 3.211928908553013839671153150604
y[1] (numeric) = 3.2119289085530138396711531506055
absolute error = 1.5e-30
relative error = 4.6700909101869122360239317067790e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 29.03
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.24
y[1] (analytic) = 3.22299305951474572275872749795
y[1] (numeric) = 3.2229930595147457227587274979486
absolute error = 1.4e-30
relative error = 4.3437884418242718527065119726542e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.25
y[1] (analytic) = 3.234060517354844754460801614467
y[1] (numeric) = 3.2340605173548447544608016144684
absolute error = 1.4e-30
relative error = 4.3289233225142843752613616424346e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.26
y[1] (analytic) = 3.24513128098012796366019553659
y[1] (numeric) = 3.2451312809801279636601955365881
absolute error = 1.9e-30
relative error = 5.8549249182490467265451353349014e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.27
y[1] (analytic) = 3.256205349298134906028116706024
y[1] (numeric) = 3.2562053492981349060281167060229
absolute error = 1.1e-30
relative error = 3.3781653243616887745840950419318e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.28
y[1] (analytic) = 3.267282721217126947942057904898
y[1] (numeric) = 3.2672827212171269479420579048976
absolute error = 4e-31
relative error = 1.2242589152217355353396887585853e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.62
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.29
y[1] (analytic) = 3.278363395646086551349642571566
y[1] (numeric) = 3.2783633956460865513496425715657
absolute error = 3e-31
relative error = 9.1509074435867173803815863700367e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.3
y[1] (analytic) = 3.289447371494716559576856012344
y[1] (numeric) = 3.2894473714947165595768560123434
absolute error = 6e-31
relative error = 1.8240145904123753123920101506176e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.31
y[1] (analytic) = 3.30053464767343948407910411642
y[1] (numeric) = 3.3005346476734394840791041164211
absolute error = 1.1e-30
relative error = 3.3327933726597736123003785198626e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 53.85
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.32
y[1] (analytic) = 3.311625223093396792133544266125
y[1] (numeric) = 3.3116252230933967921335442661237
absolute error = 1.3e-30
relative error = 3.9255649791967310497898215485328e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.21
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 15.16
Order of pole (six term test) = -0.5
bytes used=120053212, alloc=4521156, time=4.80
TOP MAIN SOLVE Loop
x[1] = 28.33
y[1] (analytic) = 3.322719096666448195471136212477
y[1] (numeric) = 3.3227190966664481954711362124768
absolute error = 2e-31
relative error = 6.0191666578330993655104635228426e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 71.55
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.34
y[1] (analytic) = 3.333816267305170939846863756718
y[1] (numeric) = 3.3338162673051709398468637567191
absolute error = 1.1e-30
relative error = 3.2995219646257373610115009315348e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 72.57
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.35
y[1] (analytic) = 3.344916733922859095546581142001
y[1] (numeric) = 3.3449167339228590955465811420003
absolute error = 7e-31
relative error = 2.0927277289173425833276461359902e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.36
y[1] (analytic) = 3.356020495433522848828941116035
y[1] (numeric) = 3.3560204954335228488289411160351
absolute error = 1e-31
relative error = 2.9797195856243492567016460289255e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 24.32
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.37
y[1] (analytic) = 3.367127550751887794300864674969
y[1] (numeric) = 3.3671275507518877943008646749693
absolute error = 3e-31
relative error = 8.9096713883918436151420916948242e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.38
y[1] (analytic) = 3.378237898793394228225015541171
y[1] (numeric) = 3.3782378987933942282250155411706
absolute error = 4e-31
relative error = 1.1840492350845630620385820724313e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.39
y[1] (analytic) = 3.389351538474196442757745463105
y[1] (numeric) = 3.3893515384741964427577454631029
absolute error = 2.1e-30
relative error = 6.1958754533481318396818012152559e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.4
y[1] (analytic) = 3.400468468711162021115979453895
y[1] (numeric) = 3.4004684687111620211159794538954
absolute error = 4e-31
relative error = 1.1763085106670820222109673955172e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.41
y[1] (analytic) = 3.411588688421871133671513106702
y[1] (numeric) = 3.4115886884218711336715131067011
absolute error = 9e-31
relative error = 2.6380671358607446604046384567567e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 14.56
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.42
y[1] (analytic) = 3.422712196524615834971197139464
y[1] (numeric) = 3.4227121965246158349711971394628
absolute error = 1.2e-30
relative error = 3.5059915385771165556647970852597e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.43
y[1] (analytic) = 3.433838991938399361681487329294
y[1] (numeric) = 3.4338389919383993616814873292946
absolute error = 6e-31
relative error = 1.7473154722997087303263622276004e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.33
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.44
y[1] (analytic) = 3.444969073582935431455840997357
y[1] (numeric) = 3.4449690735829354314558409973574
absolute error = 4e-31
relative error = 1.1611134714309076230021164417003e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 384.2
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.45
y[1] (analytic) = 3.456102440378647542723444198876
y[1] (numeric) = 3.4561024403786475427234441988764
absolute error = 4e-31
relative error = 1.1573731013487446046767312008690e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.46
y[1] (analytic) = 3.467239091246668275397756759838
y[1] (numeric) = 3.4672390912466682753977567598363
absolute error = 1.7e-30
relative error = 4.9030365523156177490813088499118e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.47
y[1] (analytic) = 3.478379025108838592503365281913
y[1] (numeric) = 3.4783790251088385925033652819144
absolute error = 1.4e-30
relative error = 4.0248632765263237941599512231010e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 36.23
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.48
y[1] (analytic) = 3.48952224088770714271963721039
y[1] (numeric) = 3.4895222408877071427196372103883
absolute error = 1.7e-30
relative error = 4.8717270808038561384809313376145e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.49
y[1] (analytic) = 3.500668737506529563839672026106
y[1] (numeric) = 3.5006687375065295638396720261045
absolute error = 1.5e-30
relative error = 4.2848955798897614204105427203484e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 41.37
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.5
y[1] (analytic) = 3.511818513889267787143048582135
y[1] (numeric) = 3.5118185138892677871430485821335
absolute error = 1.5e-30
relative error = 4.2712913382838238381828000311855e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.51
y[1] (analytic) = 3.522971568960589342680870558484
y[1] (numeric) = 3.5229715689605893426808705584835
absolute error = 5e-31
relative error = 1.4192564152526471405734748215809e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.52
y[1] (analytic) = 3.534127901645866665471614954216
y[1] (numeric) = 3.5341279016458666654716149542171
absolute error = 1.1e-30
relative error = 3.1125076132296251851436224992925e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.53
y[1] (analytic) = 3.545287510871176402606291475531
y[1] (numeric) = 3.5452875108711764026062914755304
absolute error = 6e-31
relative error = 1.6923874246028729025754931895604e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.44
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 47.84
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.54
y[1] (analytic) = 3.556450395563298721261423610831
y[1] (numeric) = 3.5564503955632987212614236108299
absolute error = 1.1e-30
relative error = 3.0929715802370225562936779042263e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 1.316
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.55
y[1] (analytic) = 3.567616554649716617618365109599
y[1] (numeric) = 3.5676165546497166176183651095981
absolute error = 9e-31
relative error = 2.5226926330606337564261334497025e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.56
y[1] (analytic) = 3.57878598705861522668746850089
y[1] (numeric) = 3.578785987058615226687468500889
absolute error = 1.0e-30
relative error = 2.7942436446776594510419940360067e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.57
y[1] (analytic) = 3.589958691718881133035625199659
y[1] (numeric) = 3.5899586917188811330356251996589
absolute error = 1e-31
relative error = 2.7855473721932926132807352211035e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.58
y[1] (analytic) = 3.601134667560101682415699654837
y[1] (numeric) = 3.6011346675601016824156996548349
absolute error = 2.1e-30
relative error = 5.8314953309503017411415896766627e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.59
y[1] (analytic) = 3.612313913512564294296382892065
y[1] (numeric) = 3.6123139135125642942963828920658
absolute error = 8e-31
relative error = 2.2146469524906018453443914897171e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.6
y[1] (analytic) = 3.623496428507255775290993696513
y[1] (numeric) = 3.6234964285072557752909936965131
absolute error = 1e-31
relative error = 2.7597653805663122547611328868459e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=124054068, alloc=4521156, time=4.95
x[1] = 28.61
y[1] (analytic) = 3.634682211475861633483758566832
y[1] (numeric) = 3.6346822114758616334837585668313
absolute error = 7e-31
relative error = 1.9258905160673323561473034791052e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.62
y[1] (analytic) = 3.645871261350765393652104450683
y[1] (numeric) = 3.6458712613507653936521044506826
absolute error = 4e-31
relative error = 1.0971314435600868731035383949373e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.63
y[1] (analytic) = 3.657063577065047913383501144742
y[1] (numeric) = 3.6570635770650479133835011447423
absolute error = 3e-31
relative error = 8.2033028323987467467261635504839e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.64
y[1] (analytic) = 3.6682591575524867000853931082
y[1] (numeric) = 3.6682591575524867000853931082002
absolute error = 2e-31
relative error = 5.4521774882841911627832134053668e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.56
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.65
y[1] (analytic) = 3.67945800174755522888676329826
y[1] (numeric) = 3.679458001747555228886763298261
absolute error = 1.0e-30
relative error = 2.7177915864919531903887842152252e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.66
y[1] (analytic) = 3.690660108585422261429874489117
y[1] (numeric) = 3.6906601085854222614298744891178
absolute error = 8e-31
relative error = 2.1676339095518299228648686253954e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.67
y[1] (analytic) = 3.701865477001951165550736382326
y[1] (numeric) = 3.7018654770019511655507363823265
absolute error = 5e-31
relative error = 1.3506703663498263360883272122799e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.68
y[1] (analytic) = 3.71307410593369923584684965647
y[1] (numeric) = 3.7130741059336992358468496564688
absolute error = 1.2e-30
relative error = 3.2318234588486482432003857269210e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.69
y[1] (analytic) = 3.724285994317917015130780937469
y[1] (numeric) = 3.7242859943179170151307809374696
absolute error = 6e-31
relative error = 1.6110470595314385320534391587547e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.7
y[1] (analytic) = 3.735501141092547616768125497954
y[1] (numeric) = 3.7355011410925476167681254979522
absolute error = 1.8e-30
relative error = 4.8186305719439337803378707187596e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.71
y[1] (analytic) = 3.746719545196226047898417314582
y[1] (numeric) = 3.7467195451962260478984173145829
absolute error = 9e-31
relative error = 2.4021013292919540230763402728959e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.72
y[1] (analytic) = 3.757941205568278533537548926501
y[1] (numeric) = 3.7579412055682785335375489265005
absolute error = 5e-31
relative error = 1.3305157602229959462422932697809e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 19.06
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.73
y[1] (analytic) = 3.769166121148721841560266345651
y[1] (numeric) = 3.7691661211487218415602663456519
absolute error = 9e-31
relative error = 2.3877960564012197257096350190470e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 43.05
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 28.74
y[1] (analytic) = 3.780394290878262608561307071192
y[1] (numeric) = 3.7803942908782626085613070711904
absolute error = 1.6e-30
relative error = 4.2323627560771905740736698695694e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.67
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.75
y[1] (analytic) = 3.791625713698296666593752055045
y[1] (numeric) = 3.7916257136982966665937520550456
absolute error = 6e-31
relative error = 1.5824346739508966775692181731731e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.76
y[1] (analytic) = 3.802860388550908370783165254365
y[1] (numeric) = 3.802860388550908370783165254366
absolute error = 1.0e-30
relative error = 2.6295995588232811010143599526811e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.77
y[1] (analytic) = 3.814098314378869927816097188779
y[1] (numeric) = 3.8140983143788699278160971887799
absolute error = 9e-31
relative error = 2.3596664947179422196394254122679e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.78
y[1] (analytic) = 3.825339490125640725301531696337
y[1] (numeric) = 3.8253394901256407253015316963378
absolute error = 8e-31
relative error = 2.0913176518451295242781920460896e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.79
y[1] (analytic) = 3.836583914735366662003857851601
y[1] (numeric) = 3.8365839147353666620038578516001
absolute error = 9e-31
relative error = 2.3458368694695386693144034663603e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.8
y[1] (analytic) = 3.847831587152879478945951772642
y[1] (numeric) = 3.8478315871528794789459517726426
absolute error = 6e-31
relative error = 1.5593198049604794204595053556725e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.81
y[1] (analytic) = 3.859082506323696091380955800778
y[1] (numeric) = 3.8590825063236960913809558007768
absolute error = 1.2e-30
relative error = 3.1095474067569602924859012703062e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.82
y[1] (analytic) = 3.870336671194017921631345287545
y[1] (numeric) = 3.8703366711940179216313452875447
absolute error = 3e-31
relative error = 7.7512636622242096246408659850395e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.83
y[1] (analytic) = 3.881594080710730232793875968064
y[1] (numeric) = 3.8815940807107302327938759680625
absolute error = 1.5e-30
relative error = 3.8643917133275976085526056210582e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.84
y[1] (analytic) = 3.892854733821401463309007638069
y[1] (numeric) = 3.8928547338214014633090076380706
absolute error = 1.6e-30
relative error = 4.1100942865889269078610295090462e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.85
y[1] (analytic) = 3.904118629474282562393402584115
y[1] (numeric) = 3.9041186294742825623934025841142
absolute error = 8e-31
relative error = 2.0491180620393333429339761224193e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.79
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.86
y[1] (analytic) = 3.91538576661830632633409994215
y[1] (numeric) = 3.9153857666183063263340999421491
absolute error = 9e-31
relative error = 2.2986240785600144081339166693819e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.87
y[1] (analytic) = 3.926656144203086735642969879551
y[1] (numeric) = 3.9266561442030867356429698795505
absolute error = 5e-31
relative error = 1.2733480641999906927180963395608e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.88
y[1] (analytic) = 3.937929761178918293070054209024
y[1] (numeric) = 3.9379297611789182930700542090232
absolute error = 8e-31
relative error = 2.0315242996119359021708805532034e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.89
y[1] (analytic) = 3.949206616496775362474402750277
y[1] (numeric) = 3.9492066164967753624744027502768
absolute error = 2e-31
relative error = 5.0643083389091983606806158796868e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 202
Order of pole (six term test) = -0.5
bytes used=128055136, alloc=4521156, time=5.11
TOP MAIN SOLVE Loop
x[1] = 28.9
y[1] (analytic) = 3.960486709108311508551017456562
y[1] (numeric) = 3.9604867091083115085510174565635
absolute error = 1.5e-30
relative error = 3.7874132907713236193997247971062e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.91
y[1] (analytic) = 3.971770037965858837412519018287
y[1] (numeric) = 3.9717700379658588374125190182868
absolute error = 2e-31
relative error = 5.0355382635000176539852420711126e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.92
y[1] (analytic) = 3.983056602022427338024153344901
y[1] (numeric) = 3.983056602022427338024153344901
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.93
y[1] (analytic) = 3.99434640023170422449075800924
y[1] (numeric) = 3.9943464002317042244907580092406
absolute error = 6e-31
relative error = 1.5021231007035222913720846972301e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.94
y[1] (analytic) = 4.00563943154805327919431141527
y[1] (numeric) = 4.0056394315480532791943114152706
absolute error = 6e-31
relative error = 1.4978881905207302382675891681441e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.95
y[1] (analytic) = 4.016935694926514196780690121041
y[1] (numeric) = 4.0169356949265141967806901210411
absolute error = 1e-31
relative error = 2.4894598170018601590371184364754e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.9
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.96
y[1] (analytic) = 4.028235189322801928994262413381
y[1] (numeric) = 4.0282351893228019289942624133818
absolute error = 8e-31
relative error = 1.9859813600766698893013920573033e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.97
y[1] (analytic) = 4.039537913693306030358948889602
y[1] (numeric) = 4.0395379136933060303589488896021
absolute error = 1e-31
relative error = 2.4755306705011483965252789321728e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.98
y[1] (analytic) = 4.05084386699509000470438345418
y[1] (numeric) = 4.0508438669950900047043834541788
absolute error = 1.2e-30
relative error = 2.9623457220289219069916702386420e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 28.99
y[1] (analytic) = 4.062153048185890652535810785142
y[1] (numeric) = 4.06215304818589065253581078514
absolute error = 2.0e-30
relative error = 4.9234974071033002236195397723811e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 37.03
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29
y[1] (analytic) = 4.073465456224117419246358965598
y[1] (numeric) = 4.0734654562241174192463589655977
absolute error = 3e-31
relative error = 7.3647365670331179180539117457848e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.01
y[1] (analytic) = 4.08478109006885174417032861067
y[1] (numeric) = 4.0847810900688517441703286106685
absolute error = 1.5e-30
relative error = 3.6721674109951299419248793464057e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.02
y[1] (analytic) = 4.096099948679846410476142448853
y[1] (numeric) = 4.0960999486798464104761424488535
absolute error = 5e-31
relative error = 1.2206733386990413380219423012884e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.03
y[1] (analytic) = 4.107422031017524895897601939855
y[1] (numeric) = 4.1074220310175248958976019398548
absolute error = 2e-31
relative error = 4.8692342420546040005420018596933e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 33.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 63.49
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.04
y[1] (analytic) = 4.118747336042980724302100127793
y[1] (numeric) = 4.1187473360429807243021001277918
absolute error = 1.2e-30
relative error = 2.9135071954981351520510239219076e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.05
y[1] (analytic) = 4.130075862717976818094442539865
y[1] (numeric) = 4.1300758627179768180944425398643
absolute error = 7e-31
relative error = 1.6948841214246714220429299282692e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.06
y[1] (analytic) = 4.141407610004944851454930545708
y[1] (numeric) = 4.1414076100049448514549305457089
absolute error = 9e-31
relative error = 2.1731741590123880553254670162337e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.02
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.5
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.07
y[1] (analytic) = 4.152742576866984604410364192021
y[1] (numeric) = 4.1527425768669846044103641920222
absolute error = 1.2e-30
relative error = 2.8896566011210207542600382627124e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 43.78
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.08
y[1] (analytic) = 4.164080762267863317736624120493
y[1] (numeric) = 4.1640807622678633177366241204935
absolute error = 5e-31
relative error = 1.2007452029525176644930794322156e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.09
y[1] (analytic) = 4.175422165172015048691494764723
y[1] (numeric) = 4.1754221651720150486914947647211
absolute error = 1.9e-30
relative error = 4.5504380750963552383558007823441e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.05
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.1
y[1] (analytic) = 4.18676678454454002757639360359
y[1] (numeric) = 4.1867667845445400275763936035888
absolute error = 1.2e-30
relative error = 2.8661734979598170530394254474958e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.06
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.11
y[1] (analytic) = 4.198114619351204015125673824573
y[1] (numeric) = 4.1981146193512040151256738245717
absolute error = 1.3e-30
relative error = 3.0966281721029045949939042880162e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.07
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.12
y[1] (analytic) = 4.209465668558437660722170320636
y[1] (numeric) = 4.2094656685584376607221703206361
absolute error = 1e-31
relative error = 2.3755984220735011288283050102877e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.08
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.13
y[1] (analytic) = 4.220819931133335861437661508815
y[1] (numeric) = 4.2208199311333358614376615088142
absolute error = 8e-31
relative error = 1.8953663341548696115402981078842e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.09
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 1.714
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.14
y[1] (analytic) = 4.232177406043657121896922017181
y[1] (numeric) = 4.2321774060436571218969220171815
absolute error = 5e-31
relative error = 1.1814249546486101123386697798491e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.11
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.15
y[1] (analytic) = 4.243538092257822914964043839862
y[1] (numeric) = 4.2435380922578229149640438398626
absolute error = 6e-31
relative error = 1.4139144905867055533731814206671e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.12
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 24.08
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.16
y[1] (analytic) = 4.25490198874491704324970610685
y[1] (numeric) = 4.2549019887449170432497061068502
absolute error = 2e-31
relative error = 4.7004607986045451160207429810703e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.13
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.17
y[1] (analytic) = 4.26626909447468500143807615686
y[1] (numeric) = 4.2662690944746850014380761568604
absolute error = 4e-31
relative error = 9.3758736531187531794932071616555e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.14
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=132056680, alloc=4521156, time=5.27
x[1] = 29.18
y[1] (analytic) = 4.277639408417533339432027137177
y[1] (numeric) = 4.2776394084175333394320271371779
absolute error = 9e-31
relative error = 2.1039641588979687131894019035493e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.15
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 63.46
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.19
y[1] (analytic) = 4.289012929544529026315359884481
y[1] (numeric) = 4.2890129295445290263153598844816
absolute error = 6e-31
relative error = 1.3989232717554826640955293407048e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.16
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.2
y[1] (analytic) = 4.300389656827398815130719365
y[1] (numeric) = 4.3003896568273988151307193650015
absolute error = 1.5e-30
relative error = 3.4880560128279656032817320110079e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.17
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.21
y[1] (analytic) = 4.311769589238528608471898471052
y[1] (numeric) = 4.3117695892385286084718984710526
absolute error = 6e-31
relative error = 1.3915400338123396630556373805772e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.18
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.22
y[1] (analytic) = 4.323152725750962824889224484039
y[1] (numeric) = 4.323152725750962824889224484039
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.19
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.23
y[1] (analytic) = 4.334539065338403766106726021433
y[1] (numeric) = 4.334539065338403766106726021433
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.2
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.24
y[1] (analytic) = 4.345928606975210985049780787025
y[1] (numeric) = 4.3459286069752109850497807870258
absolute error = 8e-31
relative error = 1.8408033641325833455215562012835e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.22
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.25
y[1] (analytic) = 4.357321349636400654681946939931
y[1] (numeric) = 4.3573213496364006546819469399324
absolute error = 1.4e-30
relative error = 3.2129831326689362866377464799477e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.23
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.26
y[1] (analytic) = 4.368717292297644937649683388427
y[1] (numeric) = 4.3687172922976449376496833884284
absolute error = 1.4e-30
relative error = 3.2046019605532686067109945690025e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.24
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.27
y[1] (analytic) = 4.380116433935271356733666799715
y[1] (numeric) = 4.3801164339352713567336667997131
absolute error = 1.9e-30
relative error = 4.3377842316693033571760178436461e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.25
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 107.2
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.28
y[1] (analytic) = 4.39151877352626216610541559615
y[1] (numeric) = 4.3915187735262621661054155961486
absolute error = 1.4e-30
relative error = 3.1879631448685362616158515249713e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.26
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.29
y[1] (analytic) = 4.402924310048253723387933682429
y[1] (numeric) = 4.4029243100482537233879336824293
absolute error = 3e-31
relative error = 6.8136533556878736931349544892099e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.27
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.3
y[1] (analytic) = 4.41433304247953586251908911651
y[1] (numeric) = 4.4143330424795358625190891165092
absolute error = 8e-31
relative error = 1.8122783041096489068017508736961e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.28
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 11.13
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.31
y[1] (analytic) = 4.425744969799051267416445399966
y[1] (numeric) = 4.4257449697990512674164453999643
absolute error = 1.7e-30
relative error = 3.8411612318393204842047635621794e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.29
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 64.81
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.32
y[1] (analytic) = 4.437160090986394846442265520811
y[1] (numeric) = 4.4371600909863948464422655208126
absolute error = 1.6e-30
relative error = 3.6059100126908310280838210668845e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.3
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.33
y[1] (analytic) = 4.448578405021813107667411333667
y[1] (numeric) = 4.4485784050218131076674113336676
absolute error = 6e-31
relative error = 1.3487454763586615193552499674888e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.31
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 53.44
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.34
y[1] (analytic) = 4.459999910886203534932863308473
y[1] (numeric) = 4.4599999108862035349328633084742
absolute error = 1.2e-30
relative error = 2.6905830134009118898152166897287e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.32
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.35
y[1] (analytic) = 4.471424607561113964707588119989
y[1] (numeric) = 4.4714246075611139647075881199885
absolute error = 5e-31
relative error = 1.1182118539011197317218951422753e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.34
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.36
y[1] (analytic) = 4.482852494028741963741483985621
y[1] (numeric) = 4.4828524940287419637414839856215
absolute error = 5e-31
relative error = 1.1153612586316658598371790900534e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.37
y[1] (analytic) = 4.494283569271934207512136089291
y[1] (numeric) = 4.4942835692719342075121360892919
absolute error = 9e-31
relative error = 2.0025438673995338678217746479273e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.36
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 3.219
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.38
y[1] (analytic) = 4.505717832274185859464116853533
y[1] (numeric) = 4.5057178322741858594641168535331
absolute error = 1e-31
relative error = 2.2194021845688164044195878466884e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.37
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.39
y[1] (analytic) = 4.517155282019639951039568241296
y[1] (numeric) = 4.5171552820196399510395682412952
absolute error = 8e-31
relative error = 1.7710261216486595719560264383818e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.38
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.4
y[1] (analytic) = 4.528595917493086762498805682677
y[1] (numeric) = 4.5285959174930867624988056826776
absolute error = 6e-31
relative error = 1.3249139709778841059404414365656e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.39
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.41
y[1] (analytic) = 4.540039737679963204529685630248
y[1] (numeric) = 4.5400397376799632045296856302475
absolute error = 5e-31
relative error = 1.1013119463476511857179425144499e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.4
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.42
y[1] (analytic) = 4.551486741566352200644481149648
y[1] (numeric) = 4.5514867415663522006444811496479
absolute error = 1e-31
relative error = 2.1970842864761575012029280444795e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.41
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.43
y[1] (analytic) = 4.562936928138982070363012349895
y[1] (numeric) = 4.5629369281389820703630123498949
absolute error = 1e-31
relative error = 2.1915709459693436579059712005787e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.42
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 16.89
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.44
y[1] (analytic) = 4.57439029638522591318078085012
y[1] (numeric) = 4.5743902963852259131807808501199
absolute error = 1e-31
relative error = 2.1860836859290731399799133972349e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.43
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.45
y[1] (analytic) = 4.585846845293100993320859866544
y[1] (numeric) = 4.5858468452931009933208598665425
absolute error = 1.5e-30
relative error = 3.2709334842693129989765724937408e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.45
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.46
y[1] (analytic) = 4.597306573851268125268293885176
y[1] (numeric) = 4.5973065738512681252682938851746
absolute error = 1.4e-30
relative error = 3.0452613448991464689896155580233e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.46
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=136061196, alloc=4521156, time=5.43
TOP MAIN SOLVE Loop
x[1] = 29.47
y[1] (analytic) = 4.608769481049031060085764262175
y[1] (numeric) = 4.6087694810490310600857642621752
absolute error = 2e-31
relative error = 4.3395531241557505683422471380222e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.47
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.48
y[1] (analytic) = 4.620235565876335872509279464906
y[1] (numeric) = 4.6202355658763358725092794649047
absolute error = 1.3e-30
relative error = 2.8137093476389110397771113131241e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.48
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.49
y[1] (analytic) = 4.631704827323770348822651032587
y[1] (numeric) = 4.6317048273237703488226510325873
absolute error = 3e-31
relative error = 6.4770966886795759417568290039345e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.49
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 56.62
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.5
y[1] (analytic) = 4.64317726438256337550951869609
y[1] (numeric) = 4.6431772643825633755095186960891
absolute error = 9e-31
relative error = 1.9383278922039593142516306989193e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.51
y[1] (analytic) = 4.654652876044584328681690451673
y[1] (numeric) = 4.6546528760445843286816904516717
absolute error = 1.3e-30
relative error = 2.7929042930150996370505095641087e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.52
y[1] (analytic) = 4.666131661302342464282565733704
y[1] (numeric) = 4.6661316613023424642825657337057
absolute error = 1.7e-30
relative error = 3.6432748224800858897394802032066e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.53
y[1] (analytic) = 4.677613619148986309064412176225
y[1] (numeric) = 4.6776136191489863090644121762256
absolute error = 6e-31
relative error = 1.2827053468968648615414101943930e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.54
y[1] (analytic) = 4.689098748578303052338268792909
y[1] (numeric) = 4.6890987485783030523382687929089
absolute error = 1e-31
relative error = 2.1326059731695604411445461491682e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.55
y[1] (analytic) = 4.700587048584717938495250739561
y[1] (numeric) = 4.7005870485847179384952507395605
absolute error = 5e-31
relative error = 1.0636969272817596644784178995316e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.55
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 46.81
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.56
y[1] (analytic) = 4.712078518163293660298033152513
y[1] (numeric) = 4.7120785181632936602980331525113
absolute error = 1.7e-30
relative error = 3.6077497296514440936160088290494e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.57
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.57
y[1] (analytic) = 4.723573156309729752941293880494
y[1] (numeric) = 4.723573156309729752941293880495
absolute error = 1.0e-30
relative error = 2.1170414152773395271364910111042e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.58
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.58
y[1] (analytic) = 4.73507096202036198887989724657
y[1] (numeric) = 4.7350709620203619888798972465705
absolute error = 5e-31
relative error = 1.0559503838706142605061772511600e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.59
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.59
y[1] (analytic) = 4.746571934292161773423603290526
y[1] (numeric) = 4.746571934292161773423603290524
absolute error = 2.0e-30
relative error = 4.2135672390231085715191044367876e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.6
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.6
y[1] (analytic) = 4.758076072122735541097089250916
y[1] (numeric) = 4.7580760721227355410970892509174
absolute error = 1.4e-30
relative error = 2.9423657351813073638026919344443e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.61
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.61
y[1] (analytic) = 4.769583374510324152764072349574
y[1] (numeric) = 4.7695833745103241527640723495745
absolute error = 5e-31
relative error = 1.0483095917184447766342440445156e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.62
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 19.28
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.62
y[1] (analytic) = 4.781093840453802293514325239817
y[1] (numeric) = 4.7810938404538022935143252398165
absolute error = 5e-31
relative error = 1.0457857902085059284004116167361e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.63
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.63
y[1] (analytic) = 4.792607468952677871312377773189
y[1] (numeric) = 4.7926074689526778713123777731897
absolute error = 7e-31
relative error = 1.4605827924250388649682389233330e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.64
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 18.84
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.64
y[1] (analytic) = 4.804124259007091416406701027788
y[1] (numeric) = 4.8041242590070914164067010277866
absolute error = 1.4e-30
relative error = 2.9141627579161529049048513126408e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.65
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.65
y[1] (analytic) = 4.815644209617815481498171824554
y[1] (numeric) = 4.8156442096178154814981718245543
absolute error = 3e-31
relative error = 6.2296961100415043760529236320891e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.66
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.66
y[1] (analytic) = 4.827167319786254042666618236228
y[1] (numeric) = 4.8271673197862540426666182362287
absolute error = 7e-31
relative error = 1.4501258266535410943807770795147e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.68
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.67
y[1] (analytic) = 4.838693588514441901054248866742
y[1] (numeric) = 4.8386935885144419010542488667405
absolute error = 1.5e-30
relative error = 3.1000103076593542719779169620385e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.69
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 34.83
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.68
y[1] (analytic) = 4.850223014805044085304770947121
y[1] (numeric) = 4.8502230148050440853047709471196
absolute error = 1.4e-30
relative error = 2.8864652114481654335916829652940e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.7
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 238.7
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.69
y[1] (analytic) = 4.861755597661355254757004557097
y[1] (numeric) = 4.8617555976613552547570045570975
absolute error = 5e-31
relative error = 1.0284350785558089946537234269821e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.71
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.7
y[1] (analytic) = 4.873291336087299103391802539778
y[1] (numeric) = 4.8732913360872991033918025397772
absolute error = 8e-31
relative error = 1.6416010142383758571436895749780e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.72
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.71
y[1] (analytic) = 4.884830229087427764531087929926
y[1] (numeric) = 4.8848302290874277645310879299256
absolute error = 4e-31
relative error = 8.1886162106134656394632781410012e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.73
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.72
y[1] (analytic) = 4.896372275666921216287822964655
y[1] (numeric) = 4.8963722756669212162878229646549
absolute error = 1e-31
relative error = 2.0423283682280730748975186397178e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.74
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.73
y[1] (analytic) = 4.907917474831586687765725988508
y[1] (numeric) = 4.9079174748315866877657259885087
absolute error = 7e-31
relative error = 1.4262668506340772008284901933913e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.75
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 5.768
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.74
y[1] (analytic) = 4.91946582558785806600755480327
y[1] (numeric) = 4.9194658255878580660075548032695
absolute error = 5e-31
relative error = 1.0163705120164176354368556853052e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.76
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=140063152, alloc=4521156, time=5.59
x[1] = 29.75
y[1] (analytic) = 4.93101732694279530369077724617
y[1] (numeric) = 4.9310173269427953036907772461694
absolute error = 6e-31
relative error = 1.2167874501710518845556489234425e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.77
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 15.21
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.76
y[1] (analytic) = 4.942571977904083827569452008626
y[1] (numeric) = 4.9425719779040838275694520086258
absolute error = 2e-31
relative error = 4.0464762252144428985701220379581e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.78
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.77
y[1] (analytic) = 4.954129777480033947661144931151
y[1] (numeric) = 4.9541297774800339476611449311522
absolute error = 1.2e-30
relative error = 2.4222215684676544997134623016867e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.8
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.78
y[1] (analytic) = 4.965690724679580267177708228728
y[1] (numeric) = 4.9656907246795802671777082287262
absolute error = 1.8e-30
relative error = 3.6248733555917300814406532308388e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.81
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.79
y[1] (analytic) = 4.977254818512281093198752314637
y[1] (numeric) = 4.9772548185122810931987523146369
absolute error = 1e-31
relative error = 2.0091396491910042577457352550939e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.82
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.8
y[1] (analytic) = 4.988822057988317848086642099704
y[1] (numeric) = 4.9888220579883178480866420997047
absolute error = 7e-31
relative error = 1.4031368364384327891934008500578e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.83
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.81
y[1] (analytic) = 5.000392442118494481641851847771
y[1] (numeric) = 5.0003924421184944816418518477715
absolute error = 5e-31
relative error = 9.9992151773625027370867889475659e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.84
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.82
y[1] (analytic) = 5.011965969914236883997514867516
y[1] (numeric) = 5.0119659699142368839975148675152
absolute error = 8e-31
relative error = 1.5961800315529463527476675419325e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.85
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 32.02
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.83
y[1] (analytic) = 5.023542640387592299252006514963
y[1] (numeric) = 5.0235426403875922992520065149615
absolute error = 1.5e-30
relative error = 2.9859406147775173282272432740859e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.86
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 21.61
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.84
y[1] (analytic) = 5.035122452551228739838401170559
y[1] (numeric) = 5.0351224525512287398384011705571
absolute error = 1.9e-30
relative error = 3.7734931332946939291924703899872e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.87
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.85
y[1] (analytic) = 5.04670540541843440162964603935
y[1] (numeric) = 5.046705405418434401629646039349
absolute error = 1.0e-30
relative error = 1.9814907343835490057148544367286e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.88
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.86
y[1] (analytic) = 5.058291498003117079778296802692
y[1] (numeric) = 5.0582914980031170797782968026905
absolute error = 1.5e-30
relative error = 2.9654281501810666356893848000797e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.89
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.87
y[1] (analytic) = 5.069880729319803585289662324984
y[1] (numeric) = 5.0698807293198035852896623249834
absolute error = 6e-31
relative error = 1.1834597933046415291824142095264e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.91
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 47.35
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.88
y[1] (analytic) = 5.081473098383639162327207789276
y[1] (numeric) = 5.0814730983836391623272077892756
absolute error = 4e-31
relative error = 7.8717331028916715336201681431582e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.92
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.89
y[1] (analytic) = 5.09306860421038690624906780108
y[1] (numeric) = 5.09306860421038690624906780108
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.93
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.9
y[1] (analytic) = 5.10466724581642718237452316057
y[1] (numeric) = 5.1046672458164271823745231605702
absolute error = 2e-31
relative error = 3.9179830999544911760674725482963e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.94
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 5.652
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.91
y[1] (analytic) = 5.11626902221875704547929715936
y[1] (numeric) = 5.11626902221875704547929715936
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.95
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.92
y[1] (analytic) = 5.127873932434989660018529409394
y[1] (numeric) = 5.1278739324349896600185294093939
absolute error = 1e-31
relative error = 1.9501259453255442041256345487164e-30 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.96
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.93
y[1] (analytic) = 5.139481975483353721076287358078
y[1] (numeric) = 5.1394819754833537210762873580786
absolute error = 6e-31
relative error = 1.1674328324569553522610225112487e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.97
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.94
y[1] (analytic) = 5.15109315038269287604047778568
y[1] (numeric) = 5.1510931503826928760404777856808
absolute error = 8e-31
relative error = 1.5530684005210916807274197237493e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.98
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.95
y[1] (analytic) = 5.162707456152465147002022718222
y[1] (numeric) = 5.1627074561524651470020227182213
absolute error = 7e-31
relative error = 1.3558777171574983590425649390061e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 34.99
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 13.44
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.96
y[1] (analytic) = 5.174324891812742353877166321615
y[1] (numeric) = 5.1743248918127423538771663216137
absolute error = 1.3e-30
relative error = 2.5124050522165137859660280891468e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 35
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.97
y[1] (analytic) = 5.185945456384209538251781470644
y[1] (numeric) = 5.1859454563842095382517814706458
absolute error = 1.8e-30
relative error = 3.4709196522383245758349679399900e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 35.01
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 29.98
y[1] (analytic) = 5.197569148888164387946546809591
y[1] (numeric) = 5.1975691488881643879465468095922
absolute error = 1.2e-30
relative error = 2.3087715923061792215738710227135e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 35.03
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1 = 17.11
Order of pole (six term test) = -0.5
TOP MAIN SOLVE Loop
x[1] = 29.99
y[1] (analytic) = 5.20919596834651666230186723979
y[1] (numeric) = 5.2091959683465166623018672397889
absolute error = 1.1e-30
relative error = 2.1116502559782903528020083210481e-29 %
Correct digits = 31
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 35.04
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ;
Iterations = 1000
Total Elapsed Time = 5 Seconds
Elapsed Time(since restart) = 5 Seconds
Time to Timeout = 2 Minutes 54 Seconds
Percent Done = 100.1 %
> quit
bytes used=143526968, alloc=4521156, time=5.72