|\^/| Maple 11 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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_tmp5, 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_tmp5, > 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 sqrt 1 $eq_no = 1 > array_tmp3[1] := sqrt(array_tmp2[1]); > #emit pre exp 1 $eq_no = 1 > array_tmp4[1] := exp(array_tmp3[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp5[1] := array_const_0D0[1] + array_tmp4[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_tmp5[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 sqrt 2 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0; > #emit pre exp ID_FULL iii = 2 $eq_no = 1 > #emit pre exp 2 $eq_no = 1 > array_tmp4[2] := att(1,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp5[2] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := 0.0; > array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre exp ID_FULL iii = 3 $eq_no = 1 > #emit pre exp 3 $eq_no = 1 > array_tmp4[3] := att(2,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp5[3] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := 0.0; > array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre exp ID_FULL iii = 4 $eq_no = 1 > #emit pre exp 4 $eq_no = 1 > array_tmp4[4] := att(3,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp5[4] := array_tmp4[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_tmp5[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 sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := 0.0; > array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre exp ID_FULL iii = 5 $eq_no = 1 > #emit pre exp 5 $eq_no = 1 > array_tmp4[5] := att(4,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp5[5] := array_tmp4[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_tmp5[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 sqrt LINEAR $eq_no = 1 > array_tmp3[kkk] := 0.0; > array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0; > #emit exp FULL $eq_no = 1 > array_tmp4[kkk] := att(kkk-1,array_tmp4,array_tmp3,1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp5[kkk] := array_tmp4[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_tmp5[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_tmp5, 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] := sqrt(array_tmp2[1]); array_tmp4[1] := exp(array_tmp3[1]); array_tmp5[1] := array_const_0D0[1] + array_tmp4[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[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_tmp3[1]*2.0); array_tmp4[2] := att(1, array_tmp4, array_tmp3, 1); array_tmp5[2] := array_tmp4[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[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] := 0.; array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[3] := att(2, array_tmp4, array_tmp3, 1); array_tmp5[3] := array_tmp4[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[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] := 0.; array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[4] := att(3, array_tmp4, array_tmp3, 1); array_tmp5[4] := array_tmp4[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[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] := 0.; array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[5] := att(4, array_tmp4, array_tmp3, 1); array_tmp5[5] := array_tmp4[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[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] := 0.; array_tmp3[kkk] := -ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0); array_tmp4[kkk] := att(kkk - 1, array_tmp4, array_tmp3, 1); array_tmp5[kkk] := array_tmp4[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_tmp5[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(20.0 * exp(sqrt(0.1 * x + 0.2)) * sqrt( 0.1 * x + 0.2) - 20.0 * exp(sqrt(0.1 * x + 0.2))); > end; exact_soln_y := proc(x) return 20.0*exp(sqrt(0.1*x + 0.2))*sqrt(0.1*x + 0.2) - 20.0*exp(sqrt(0.1*x + 0.2)) 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_tmp5, > 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/exp_sqrtpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = exp(sqrt(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 := 0.0;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"glob_display_interval := 0.1;"); > omniout_str(ALWAYS,"glob_max_minutes := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.01;"); > 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(20.0 * exp(sqrt(0.1 * x + 0.2)) * sqrt( 0.1 * x + 0.2) - 20.0 * exp(sqrt(0.1 * x + 0.2)));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 0.0; > 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_tmp5:= 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_tmp5[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_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 1 > array_tmp5[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 := 0.0; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > glob_display_interval := 0.1; > glob_max_minutes := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.01; > 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 ) = exp(sqrt(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,"2013-05-26T00:55:01-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"exp_sqrt") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = exp(sqrt(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,"exp_sqrt diffeq.mxt") > ; > logitem_str(html_log_file,"exp_sqrt 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_tmp5, 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/exp_sqrtpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = exp(sqrt(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 := 0.0;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "glob_display_interval := 0.1;"); omniout_str(ALWAYS, "glob_max_minutes := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.01;"); 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(20.0 * exp(sqrt(0.1 * x + 0.2)) * sqrt( 0\ .1 * x + 0.2) - 20.0 * exp(sqrt(0.1 * x + 0.2)));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.; 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_tmp5 := 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_tmp5[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_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[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 := 0.; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; 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 ) = exp(sqrt(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, "2013-05-26T00:55:01-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "exp_sqrt"); logitem_str(html_log_file, "diff ( y , x , 1 ) = exp(sqrt(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, "exp_sqrt diffeq.mxt") ; logitem_str(html_log_file, "exp_sqrt 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/exp_sqrtpostode.ode################# diff ( y , x , 1 ) = exp(sqrt(0.1 * x + 0.2)); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.0; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.01; 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(20.0 * exp(sqrt(0.1 * x + 0.2)) * sqrt( 0.1 * x + 0.2) - 20.0 * exp(sqrt(0.1 * x + 0.2))); 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 = 5 estimated_steps = 5000000 step_error = 2.0000000000000000000000000000000e-17 est_needed_step_err = 2.0000000000000000000000000000000e-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 = 1.1720747881514179283237616825706e-168 estimated_step_error = 1.1720747881514179283237616825706e-168 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 = 7.8656589710943941872258947966958e-161 estimated_step_error = 7.8656589710943941872258947966958e-161 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 = 5.2785519865100873514387859580768e-153 estimated_step_error = 5.2785519865100873514387859580768e-153 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 = 3.5423730591446278822674423485977e-145 estimated_step_error = 3.5423730591446278822674423485977e-145 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 = 2.3772420040132886695086824055191e-137 estimated_step_error = 2.3772420040132886695086824055191e-137 best_h = 3.200000e-05 opt_iter = 6 bytes used=4000212, alloc=3014104, time=0.12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.5953343124698975884839481515087e-129 estimated_step_error = 1.5953343124698975884839481515087e-129 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 = 1.0706029616984781469063728077528e-121 estimated_step_error = 1.0706029616984781469063728077528e-121 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 = 7.1845905383248759956502325780969e-114 estimated_step_error = 7.1845905383248759956502325780969e-114 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 = 4.8213570873511815349680844202261e-106 estimated_step_error = 4.8213570873511815349680844202261e-106 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 = 3.2353700743043982097597622835816e-98 estimated_step_error = 3.2353700743043982097597622835816e-98 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 = 2.1709679568904503607598873388723e-90 estimated_step_error = 2.1709679568904503607598873388723e-90 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 = 1.4565736272138751156356090546050e-82 estimated_step_error = 1.4565736272138751156356090546050e-82 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 = 9.7703626513879470649079762981020e-75 estimated_step_error = 9.7703626513879470649079762981020e-75 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 = 6.5506977943914172273692581409710e-67 estimated_step_error = 6.5506977943914172273692581409710e-67 best_h = 0.016384 opt_iter = 15 bytes used=8001068, alloc=4062488, time=0.24 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.3879592049041792774640076784827e-59 estimated_step_error = 4.3879592049041792774640076784827e-59 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 = 2.9338461747119763556594359516479e-51 estimated_step_error = 2.9338461747119763556594359516479e-51 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 = 1.9544552595886539665589391870398e-43 estimated_step_error = 1.9544552595886539665589391870398e-43 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 = 1.2927074562627636893343223036245e-35 estimated_step_error = 1.2927074562627636893343223036245e-35 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y[1] (analytic) = -17.290587327796204449202978508691 y[1] (numeric) = -17.290587327796204449202978508691 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 = 2.244 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 = 26.49 Order of pole (six term test) = -2.495 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (analytic) = -17.274939105918929096702966064715 y[1] (numeric) = -17.274939105918929096702966064714 absolute error = 1e-30 relative error = 5.7887324167606995074968116772733e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.255 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 = 26.56 Order of pole (six term test) = -2.495 TOP MAIN SOLVE Loop x[1] = 0.02 y[1] (analytic) = -17.259273422614415070350318196196 y[1] (numeric) = -17.259273422614415070350318196196 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 = 2.266 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 = 26.62 Order of pole (six term test) = -2.495 TOP MAIN SOLVE Loop x[1] = 0.03 y[1] (analytic) = -17.243590301745536270174986254011 y[1] (numeric) = -17.24359030174553627017498625401 absolute error = 1e-30 relative error = 5.7992563178607408549443811530080e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.277 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 = 26.69 Order of pole (six term test) = -2.495 TOP MAIN SOLVE Loop bytes used=12001956, alloc=4259060, time=0.38 x[1] = 0.04 y[1] (analytic) = -17.227889766977118641339727721417 y[1] (numeric) = -17.227889766977118641339727721417 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 = 2.288 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 = 26.76 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.05 y[1] (analytic) = -17.212171841778399290953205329685 y[1] (numeric) = -17.212171841778399290953205329685 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 = 2.3 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 = 26.82 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.06 y[1] (analytic) = -17.196436549425443328923077429396 y[1] (numeric) = -17.196436549425443328923077429396 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 = 2.311 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 = 26.89 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.07 y[1] (analytic) = -17.180683913003519360437335078654 y[1] (numeric) = -17.180683913003519360437335078654 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 = 2.322 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 = 26.95 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.08 y[1] (analytic) = -17.16491395540943453293547915868 y[1] (numeric) = -17.16491395540943453293547915868 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 = 2.333 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) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.09 y[1] (analytic) = -17.14912669935383001647922180289 y[1] (numeric) = -17.149126699353830016479221802889 absolute error = 1e-30 relative error = 5.8312007225282175374436068655586e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.345 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 = 27.08 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = -17.133322167363437773227375243985 y[1] (numeric) = -17.133322167363437773227375243985 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 = 2.356 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 = 27.15 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = -17.117500381783299449234722728327 y[1] (numeric) = -17.117500381783299449234722728326 absolute error = 1e-30 relative error = 5.8419744571129964343653237964448e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.367 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 = 27.21 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop bytes used=16002944, alloc=4390108, time=0.51 x[1] = 0.12 y[1] (analytic) = -17.101661364778948200004294489649 y[1] (numeric) = -17.101661364778948200004294489649 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 = 2.378 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 = 27.28 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = -17.085805138338554240101971725266 y[1] (numeric) = -17.085805138338554240101971725267 absolute error = 1e-30 relative error = 5.8528116872649835898390698652437e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.389 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 = 27.34 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = -17.069931724275034886668072568669 y[1] (numeric) = -17.069931724275034886668072568668 absolute error = 1e-30 relative error = 5.8582542458439171029118735638518e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.401 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 = 27.41 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = -17.054041144228129846809836582504 y[1] (numeric) = -17.054041144228129846809836582504 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 = 2.412 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 = 27.47 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = -17.038133419666442479609717921689 y[1] (numeric) = -17.038133419666442479609717921688 absolute error = 1e-30 relative error = 5.8691875181922194171475029037938e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.423 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 = 27.53 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = -17.022208571889447744816181268368 y[1] (numeric) = -17.022208571889447744816181268368 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 = 2.434 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 = 27.6 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = -17.006266622029467532176150061431 y[1] (numeric) = -17.006266622029467532176150061431 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 = 2.446 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) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = -16.990307591053614047802050604347 y[1] (numeric) = -16.990307591053614047802050604346 absolute error = 1e-30 relative error = 5.8857086291160391350568593097089e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.457 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 = 27.73 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop bytes used=20003920, alloc=4390108, time=0.65 x[1] = 0.2 y[1] (analytic) = -16.974331499765701916922947376822 y[1] (numeric) = -16.974331499765701916922947376821 absolute error = 1e-30 relative error = 5.8912482062330589078958149533859e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.468 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 = 27.79 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = -16.958338368808129645830712680589 y[1] (numeric) = -16.958338368808129645830712680589 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 = 2.479 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 = 27.85 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = -16.942328218663731069781344363989 y[1] (numeric) = -16.942328218663731069781344363989 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 = 2.49 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 = 27.92 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = -16.926301069657597398031924392916 y[1] (numeric) = -16.926301069657597398031924392915 absolute error = 1e-30 relative error = 5.9079653368131246825129296883230e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.502 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 = 27.98 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = -16.910256941958870452069414800018 y[1] (numeric) = -16.910256941958870452069414800017 absolute error = 1e-30 relative error = 5.9135707010975837418231759825607e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.513 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 = 28.04 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = -16.894195855582507678403236317647 y[1] (numeric) = -16.894195855582507678403236317647 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 = 2.524 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 = 28.1 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = -16.878117830391019503034667439814 y[1] (numeric) = -16.878117830391019503034667439813 absolute error = 1e-30 relative error = 5.9248312522109744880360394055679e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.535 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 = 28.17 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = -16.862022886096179580868390453317 y[1] (numeric) = -16.862022886096179580868390453316 absolute error = 1e-30 relative error = 5.9304865540454473019083935591886e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.546 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 = 28.23 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop bytes used=24004660, alloc=4390108, time=0.78 x[1] = 0.28 y[1] (analytic) = -16.845911042260708479881379620574 y[1] (numeric) = -16.845911042260708479881379620573 absolute error = 1e-30 relative error = 5.9361586173127550764936325565403e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.558 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 = 28.29 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = -16.82978231829993132679866732523 y[1] (numeric) = -16.82978231829993132679866732523 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 = 2.569 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 = 28.35 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = -16.81363673348340992833171625239 y[1] (numeric) = -16.813636733483409928331716252389 absolute error = 1e-30 relative error = 5.9475532619814270198005052348163e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.58 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 = 28.42 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = -16.79747430693654986970101654848 y[1] (numeric) = -16.797474306936549869701016548479 absolute error = 1e-30 relative error = 5.9532759611785686379762822832349e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.591 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 = 28.48 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = -16.781295057642183080178411452064 y[1] (numeric) = -16.781295057642183080178411452063 absolute error = 1e-30 relative error = 5.9590156574036347313058958038882e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.603 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 = 28.54 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = -16.765099004442126343735257865785 y[1] (numeric) = -16.765099004442126343735257865784 absolute error = 1e-30 relative error = 5.9647724104405066347175743734804e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.614 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 = 28.6 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = -16.748886166038716221558986658123 y[1] (numeric) = -16.748886166038716221558986658123 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 = 2.625 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 = 28.66 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = -16.73265656099632084219247343331 y[1] (numeric) = -16.73265656099632084219247343331 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 = 2.636 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 = 28.72 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop bytes used=28005592, alloc=4455632, time=0.92 x[1] = 0.36 y[1] (analytic) = -16.716410207742829004347775752587 y[1] (numeric) = -16.716410207742829004347775752586 absolute error = 1e-30 relative error = 5.9821456136366688007274538943127e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.647 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 = 28.78 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = -16.700147124571117027038513067224 y[1] (numeric) = -16.700147124571117027038513067224 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 = 2.659 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 = 28.85 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = -16.683867329640493771554086124214 y[1] (numeric) = -16.683867329640493771554086124213 absolute error = 1e-30 relative error = 5.9938141453774562901304500989104e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.67 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 = 28.91 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = -16.667570840978124249955013999601 y[1] (numeric) = -16.6675708409781242499550139996 absolute error = 1e-30 relative error = 5.9996745149055909376374221789981e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.681 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 = 28.97 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = -16.651257676480432225193191993324 y[1] (numeric) = -16.651257676480432225193191993323 absolute error = 1e-30 relative error = 6.0055523698517978007079309358117e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.692 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) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = -16.634927853914482198645434521336 y[1] (numeric) = -16.634927853914482198645434521335 absolute error = 1e-30 relative error = 6.0114477729140433094719575212960e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.703 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 = 29.09 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = -16.618581390919341171785153135328 y[1] (numeric) = -16.618581390919341171785153135328 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 = 2.715 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 = 29.15 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = -16.602218305007420559897605603032 y[1] (numeric) = -16.602218305007420559897605603032 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 = 2.726 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 = 29.21 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop bytes used=32006884, alloc=4455632, time=1.05 x[1] = 0.44 y[1] (analytic) = -16.585838613565798627161286575017 y[1] (numeric) = -16.585838613565798627161286575018 absolute error = 1e-30 relative error = 6.0292399033841162300859305322264e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.737 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 = 29.27 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = -16.569442333857523804064426298462 y[1] (numeric) = -16.569442333857523804064426298462 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 = 2.748 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 = 29.33 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = -16.553029483022899239994186996582 y[1] (numeric) = -16.553029483022899239994186996582 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 = 2.76 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 = 29.39 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = -16.536600078080748935920206326802 y[1] (numeric) = -16.536600078080748935920206326803 absolute error = 1e-30 relative error = 6.0471922600674080146122433908876e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.771 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 = 29.45 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = -16.520154135929665794387077320544 y[1] (numeric) = -16.520154135929665794387077320544 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 = 2.782 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 = 29.51 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = -16.503691673349241916525843113885 y[1] (numeric) = -16.503691673349241916525843113885 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 = 2.793 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 = 29.57 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = -16.487212707001281468486507878142 y[1] (numeric) = -16.487212707001281468486507878142 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 = 2.804 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 = 29.63 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = -16.470717253430996432576016241565 y[1] (numeric) = -16.470717253430996432576016241565 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 = 2.816 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 = 29.69 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = -16.454205329068185551453426160611 y[1] (numeric) = -16.454205329068185551453426160612 absolute error = 1e-30 relative error = 6.0774736913814286159932645250725e-30 % Correct digits = 32 h = 0.01 bytes used=36008732, alloc=4455632, time=1.19 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.827 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 = 29.75 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = -16.437676950228396766980581499264 y[1] (numeric) = -16.437676950228396766980581499265 absolute error = 1e-30 relative error = 6.0835847001245835362909364584554e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.838 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 = 29.81 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = -16.421132133114073448747152946261 y[1] (numeric) = -16.421132133114073448747152946262 absolute error = 1e-30 relative error = 6.0897141067603225594212848210629e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.849 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 = 29.87 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = -16.404570893815684700878310418689 y[1] (numeric) = -16.40457089381568470087831041869 absolute error = 1e-30 relative error = 6.0958619794010419681592579536616e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.861 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 = 29.92 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = -16.387993248312840029486539812259 y[1] (numeric) = -16.38799324831284002948653981226 absolute error = 1e-30 relative error = 6.1020283865625279063832377174443e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.872 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 = 29.98 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = -16.371399212475388647041410487045 y[1] (numeric) = -16.371399212475388647041410487046 absolute error = 1e-30 relative error = 6.1082133971663010899694682980707e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.883 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) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = -16.354788802064503683997785291696 y[1] (numeric) = -16.354788802064503683997785291697 absolute error = 1e-30 relative error = 6.1144170805419855627681408970119e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.894 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 = 30.1 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = -16.338162032733751572239543862635 y[1] (numeric) = -16.338162032733751572239543862636 absolute error = 1e-30 relative error = 6.1206395064297016355508831624162e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.905 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 = 30.16 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = -16.321518920030146859258011942759 y[1] (numeric) = -16.321518920030146859258011942759 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 = 2.917 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 = 30.22 Order of pole (six term test) = -2.493 bytes used=40010784, alloc=4455632, time=1.32 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = -16.304859479395192706487746609198 y[1] (numeric) = -16.304859479395192706487746609198 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 = 2.928 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 = 30.28 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = -16.28818372616590731986304895542 y[1] (numeric) = -16.28818372616590731986304895542 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 = 2.939 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 = 30.33 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = -16.271491675575836555432623636382 y[1] (numeric) = -16.271491675575836555432623636382 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 = 2.95 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) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = -16.254783342756052937773367988941 y[1] (numeric) = -16.254783342756052937773367988942 absolute error = 1e-30 relative error = 6.1520352434943414751095736789124e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.961 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 = 30.45 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = -16.238058742736141323973664353399 y[1] (numeric) = -16.238058742736141323973664353399 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 = 2.973 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 = 30.51 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = -16.221317890445171441108198438766 y[1] (numeric) = -16.221317890445171441108198438767 absolute error = 1e-30 relative error = 6.1647272234830507657280802719381e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.984 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 = 30.57 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = -16.20456080071265752039677906955 y[1] (numeric) = -16.20456080071265752039677906955 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 = 2.995 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 = 30.62 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = -16.187787488269505246625545609635 y[1] (numeric) = -16.187787488269505246625545609636 absolute error = 1e-30 relative error = 6.1774964659293365373478813082555e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.006 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) = -2.493 TOP MAIN SOLVE Loop bytes used=44012168, alloc=4455632, time=1.46 x[1] = 0.69 y[1] (analytic) = -16.17099796774894623690708025916 y[1] (numeric) = -16.17099796774894623690708025916 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 = 3.018 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 = 30.74 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = -16.154192253687460258463157277453 y[1] (numeric) = -16.154192253687460258463157277453 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 = 3.029 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 = 30.8 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = -16.137370360525685390827122934783 y[1] (numeric) = -16.137370360525685390827122934784 absolute error = 1e-30 relative error = 6.1967964895082469071830061051983e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.04 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 = 30.85 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = -16.120532302609316333679267020005 y[1] (numeric) = -16.120532302609316333679267020005 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 = 3.051 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 = 30.91 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = -16.103678094189991057445169520208 y[1] (numeric) = -16.103678094189991057445169520208 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 = 3.062 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) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = -16.086807749426165989801124028639 y[1] (numeric) = -16.086807749426165989801124028639 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 = 3.074 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) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = -16.06992128238397992733967772394 y[1] (numeric) = -16.06992128238397992733967772394 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 = 3.085 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 = 31.08 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = -16.053018707038106857849494432296 y[1] (numeric) = -16.053018707038106857849494432296 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 = 3.096 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 = 31.14 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop bytes used=48012980, alloc=4455632, time=1.59 x[1] = 0.77 y[1] (analytic) = -16.036100037272597874954630352403 y[1] (numeric) = -16.036100037272597874954630352402 absolute error = 1e-30 relative error = 6.2359301680315464776761126319597e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.107 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 = 31.19 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.78 y[1] (analytic) = -16.01916528688171236323647674471 y[1] (numeric) = -16.019165286881712363236476744709 absolute error = 1e-30 relative error = 6.2425225165690253506108312341693e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.118 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 = 31.25 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = -16.002214469570738628424710105644 y[1] (numeric) = -16.002214469570738628424710105643 absolute error = 1e-30 relative error = 6.2491350925308847145440792045332e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.13 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 = 31.31 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (analytic) = -15.985247598956804143789309955909 y[1] (numeric) = -15.985247598956804143789309955908 absolute error = 1e-30 relative error = 6.2557679748749084893001622749257e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.141 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 = 31.36 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.81 y[1] (analytic) = -15.968264688569675580491838859144 y[1] (numeric) = -15.968264688569675580491838859142 absolute error = 2e-30 relative error = 1.2524842486056923450102236680888e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.152 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 = 31.42 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = -15.951265751852548786358577383784 y[1] (numeric) = -15.951265751852548786358577383782 absolute error = 2e-30 relative error = 1.2538189953782971198883452195449e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.163 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 = 31.47 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = -15.934250802162828874318682129465 y[1] (numeric) = -15.934250802162828874318682129463 absolute error = 2e-30 relative error = 1.2551578513679041851929241665074e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.175 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 = 31.53 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (analytic) = -15.917219852772900578605264149177 y[1] (numeric) = -15.917219852772900578605264149175 absolute error = 2e-30 relative error = 1.2565008327453520794250019097824e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.186 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 = 31.59 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop bytes used=52013896, alloc=4521156, time=1.73 x[1] = 0.85 y[1] (analytic) = -15.900172916870889033744205282201 y[1] (numeric) = -15.900172916870889033744205282198 absolute error = 3e-30 relative error = 1.8867719336667389368530366706911e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.197 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 = 31.64 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = -15.883110007561411128352736899798 y[1] (numeric) = -15.883110007561411128352736899795 absolute error = 3e-30 relative error = 1.8887988552442195084423924784660e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.208 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 = 31.7 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.87 y[1] (analytic) = -15.866031137866317582835451889866 y[1] (numeric) = -15.866031137866317582835451889863 absolute error = 3e-30 relative error = 1.8908320385430956033312564281341e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.219 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 = 31.75 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = -15.848936320725425897197713726961 y[1] (numeric) = -15.848936320725425897197713726958 absolute error = 3e-30 relative error = 1.8928715084033388297276292047759e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.231 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 = 31.81 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (analytic) = -15.831825568997244312393626562014 y[1] (numeric) = -15.831825568997244312393626562011 absolute error = 3e-30 relative error = 1.8949172898132264534483414919116e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.242 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 = 31.86 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (analytic) = -15.814698895459686925886149060624 y[1] (numeric) = -15.814698895459686925886149060622 absolute error = 2e-30 relative error = 1.2646462719402068415364810793161e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.253 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) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (analytic) = -15.797556312810780099418933443933 y[1] (numeric) = -15.79755631281078009941893344393 absolute error = 3e-30 relative error = 1.8990278879823945507567883985678e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.264 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 = 31.98 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = -15.780397833669360294381459028789 y[1] (numeric) = -15.780397833669360294381459028786 absolute error = 3e-30 relative error = 1.9010927554685233006668476518111e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.275 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 = 32.03 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop bytes used=56014952, alloc=4521156, time=1.86 x[1] = 0.93 y[1] (analytic) = -15.763223470575763467589462111621 y[1] (numeric) = -15.763223470575763467589462111619 absolute error = 2e-30 relative error = 1.2687760239733177567419687198421e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.287 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 = 32.09 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (analytic) = -15.746033235992506157800041773156 y[1] (numeric) = -15.746033235992506157800041773154 absolute error = 2e-30 relative error = 1.2701611701341844155737497690238e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.298 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 = 32.14 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (analytic) = -15.728827142304958390833688019132 y[1] (numeric) = -15.72882714230495839083368801913 absolute error = 2e-30 relative error = 1.2715506260608016774918492746988e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.309 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 = 32.19 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = -15.711605201822008528782420573926 y[1] (numeric) = -15.711605201822008528782420573923 absolute error = 3e-30 relative error = 1.9094166136838154923132386138804e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.32 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 = 32.25 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.97 y[1] (analytic) = -15.694367426776720186442870254929 y[1] (numeric) = -15.694367426776720186442870254926 absolute error = 3e-30 relative error = 1.9115138051894929964439521608758e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.332 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 = 32.3 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = -15.677113829326981335824146204341 y[1] (numeric) = -15.677113829326981335824146204339 absolute error = 2e-30 relative error = 1.2757450266506485022865594932643e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.343 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 = 32.36 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = -15.659844421556145717341415495689 y[1] (numeric) = -15.659844421556145717341415495686 absolute error = 3e-30 relative error = 1.9157278445694065406993115663917e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.354 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 = 32.41 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = -15.642559215473666674116017831062 y[1] (numeric) = -15.64255921547366667411601783106 absolute error = 2e-30 relative error = 1.2785631637702825367613401005518e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.365 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 = 32.47 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop bytes used=60015772, alloc=4521156, time=2.00 x[1] = 1.01 y[1] (analytic) = -15.625258223015723523660424008836 y[1] (numeric) = -15.625258223015723523660424008834 absolute error = 2e-30 relative error = 1.2799788467201368069396515401944e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.376 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 = 32.52 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = -15.60794145604584057913023398864 y[1] (numeric) = -15.607941456045840579130233988638 absolute error = 2e-30 relative error = 1.2813989632343774681460116521169e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.388 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 = 32.58 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = -15.590608926355498930274543649205 y[1] (numeric) = -15.590608926355498930274543649204 absolute error = 1e-30 relative error = 6.4141176571335022680713207319744e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.399 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 = 32.63 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = -15.573260645664741092209266131408 y[1] (numeric) = -15.573260645664741092209266131406 absolute error = 2e-30 relative error = 1.2842525695200232452196720595716e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.41 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 = 32.68 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = -15.555896625622768628174282840611 y[1] (numeric) = -15.555896625622768628174282840609 absolute error = 2e-30 relative error = 1.2856860958472276447019956020817e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.421 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 = 32.74 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = -15.538516877808532850513560076403 y[1] (numeric) = -15.538516877808532850513560076401 absolute error = 2e-30 relative error = 1.2871241288519094652288533757328e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.433 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 = 32.79 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = -15.521121413731318702236568713069 y[1] (numeric) = -15.521121413731318702236568713067 absolute error = 2e-30 relative error = 1.2885666870891352058166326335477e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.444 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 = 32.85 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = -15.503710244831321919678483827077 y[1] (numeric) = -15.503710244831321919678483827076 absolute error = 1e-30 relative error = 6.4500689461310288599098368184940e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.455 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 = 32.9 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop bytes used=64016704, alloc=4521156, time=2.13 x[1] = 1.09 y[1] (analytic) = -15.486283382480219574974743837719 y[1] (numeric) = -15.486283382480219574974743837717 absolute error = 2e-30 relative error = 1.2914654540434273068608825983218e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.466 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 = 32.95 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = -15.468840837981734095301666642466 y[1] (numeric) = -15.468840837981734095301666642464 absolute error = 2e-30 relative error = 1.2929217004348891979052988428216e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.477 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 = 33.01 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = -15.451382622572190854108031482786 y[1] (numeric) = -15.451382622572190854108031482783 absolute error = 3e-30 relative error = 1.9415738211138739877218385869885e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.489 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 = 33.06 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = -15.433908747421069427871943209398 y[1] (numeric) = -15.433908747421069427871943209396 absolute error = 2e-30 relative error = 1.2958480140905266179165072495532e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.5 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 = 33.11 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = -15.416419223631548610262028046354 y[1] (numeric) = -15.416419223631548610262028046351 absolute error = 3e-30 relative error = 1.9459771795783514816679081390499e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.511 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 = 33.17 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = -15.398914062241045273961218431626 y[1] (numeric) = -15.398914062241045273961218431624 absolute error = 2e-30 relative error = 1.2987928836515207064048188397396e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.522 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 = 33.22 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = -15.381393274221747168824243603155 y[1] (numeric) = -15.381393274221747168824243603153 absolute error = 2e-30 relative error = 1.3002723253633172979587238315061e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.533 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 = 33.27 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = -15.363856870481139743485649186523 y[1] (numeric) = -15.363856870481139743485649186521 absolute error = 2e-30 relative error = 1.3017564644478280165476955802440e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.545 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 = 33.33 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop bytes used=68017908, alloc=4521156, time=2.26 x[1] = 1.17 y[1] (analytic) = -15.346304861862527076012941653629 y[1] (numeric) = -15.346304861862527076012941653627 absolute error = 2e-30 relative error = 1.3032453206180259802073135284150e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.556 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 = 33.38 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = -15.328737259145546997708531686831 y[1] (numeric) = -15.32873725914554699770853168683 absolute error = 1e-30 relative error = 6.5236945685357901691974039945175e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.567 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 = 33.43 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = -15.311154073046680492703794094593 y[1] (numeric) = -15.311154073046680492703794094592 absolute error = 1e-30 relative error = 6.5311863183479520724119643315229e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.578 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 = 33.48 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = -15.293555314219755454558050637434 y[1] (numeric) = -15.293555314219755454558050637432 absolute error = 2e-30 relative error = 1.3077403905816622932589475786891e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.59 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 = 33.54 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = -15.275940993256444879673914764813 y[1] (numeric) = -15.275940993256444879673914764811 absolute error = 2e-30 relative error = 1.3092483146425472693293360554696e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.601 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 = 33.59 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = -15.25831112068675957596753126646 y[1] (numeric) = -15.258311120686759575967531266458 absolute error = 2e-30 relative error = 1.3107610561751228921636000283823e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.612 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 = 33.64 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = -15.240665706979535463887134692415 y[1] (numeric) = -15.240665706979535463887134692413 absolute error = 2e-30 relative error = 1.3122786356268482894510959075151e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.623 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 = 33.69 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = -15.223004762542915545555391103922 y[1] (numeric) = -15.22300476254291554555539110392 absolute error = 2e-30 relative error = 1.3138010735706499789762814265929e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.634 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 = 33.75 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop bytes used=72018792, alloc=4521156, time=2.40 x[1] = 1.25 y[1] (analytic) = -15.205328297724826616519548299562 y[1] (numeric) = -15.20532829772482661651954829956 absolute error = 2e-30 relative error = 1.3153283907058159438142515331689e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.646 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 = 33.8 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = -15.187636322813450793327886644722 y[1] (numeric) = -15.18763632281345079332788664472 absolute error = 2e-30 relative error = 1.3168606078588980512352128958121e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.657 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 = 33.85 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = -15.16992884803769192891073857275 y[1] (numeric) = -15.169928848037691928910738572748 absolute error = 2e-30 relative error = 1.3183977459846228967548200080505e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.668 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 = 33.9 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = -15.152205883567636986528847839374 y[1] (numeric) = -15.152205883567636986528847839372 absolute error = 2e-30 relative error = 1.3199398261668111558272218110609e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.679 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 = 33.96 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = -15.134467439515012441860502924672 y[1] (numeric) = -15.13446743951501244186050292467 absolute error = 2e-30 relative error = 1.3214868696193055267500099713103e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.69 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 = 34.01 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = -15.116713525933635781631150488301 y[1] (numeric) = -15.116713525933635781631150488299 absolute error = 2e-30 relative error = 1.3230388976869073494352449546085e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.702 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 = 34.06 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = -15.09894415281986216604453664292 y[1] (numeric) = -15.098944152819862166044536642917 absolute error = 3e-30 relative error = 1.9868938977694829786978895193108e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.713 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 = 34.11 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = -15.08115933011302632115231200675 y[1] (numeric) = -15.081159330113026321152312006748 absolute error = 2e-30 relative error = 1.3261579937071130486295680608855e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.724 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 = 34.16 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop bytes used=76019792, alloc=4521156, time=2.54 x[1] = 1.33 y[1] (analytic) = -15.063359067695879726198960461405 y[1] (numeric) = -15.063359067695879726198960461403 absolute error = 2e-30 relative error = 1.3277251050126655669301719008968e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.735 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 = 34.21 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = -15.045543375395023159900373766807 y[1] (numeric) = -15.045543375395023159900373766805 absolute error = 2e-30 relative error = 1.3292972876411581768471019832797e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.747 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 = 34.27 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = -15.027712262981334668556909849761 y[1] (numeric) = -15.027712262981334668556909849759 absolute error = 2e-30 relative error = 1.3308745636065444284743884782392e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.758 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 = 34.32 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = -15.009865740170393017864869191388 y[1] (numeric) = -15.009865740170393017864869191386 absolute error = 2e-30 relative error = 1.3324569550595432999690755417240e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.769 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 = 34.37 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = -14.992003816622896689273540773711 y[1] (numeric) = -14.99200381662289668927354077371 absolute error = 1e-30 relative error = 6.6702224214431950580131104600298e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.78 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 = 34.42 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = -14.974126501945078480737857628778 y[1] (numeric) = -14.974126501945078480737857628776 absolute error = 2e-30 relative error = 1.3356371737210902335653151979613e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.791 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 = 34.47 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = -14.956233805689115770738824597872 y[1] (numeric) = -14.956233805689115770738824597871 absolute error = 1e-30 relative error = 6.6861752296197439127520882347583e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.803 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 = 34.52 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = -14.938325737353536503484810880796 y[1] (numeric) = -14.938325737353536503484810880794 absolute error = 2e-30 relative error = 1.3388381236050879033692671297844e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.814 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 = 34.57 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop bytes used=80020688, alloc=4521156, time=2.68 x[1] = 1.41 y[1] (analytic) = -14.920402306383620952266121448836 y[1] (numeric) = -14.920402306383620952266121448835 absolute error = 1e-30 relative error = 6.7022321480712011654418397366403e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.825 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 = 34.62 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = -14.902463522171799317012568911398 y[1] (numeric) = -14.902463522171799317012568911397 absolute error = 1e-30 relative error = 6.7102999347202277321746548157190e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.836 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 = 34.68 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = -14.884509394058045211198665565117 y[1] (numeric) = -14.884509394058045211198665565116 absolute error = 1e-30 relative error = 6.7183940936555419124429555080758e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.847 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 = 34.73 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = -14.866539931330265092353158534613 y[1] (numeric) = -14.866539931330265092353158534612 absolute error = 1e-30 relative error = 6.7265147412853282698221757980917e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.859 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 = 34.78 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = -14.848555143224683689558563101497 y[1] (numeric) = -14.848555143224683689558563101497 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 = 3.87 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 = 34.83 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = -14.830555038926225480471743762438 y[1] (numeric) = -14.830555038926225480471743762438 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 = 3.881 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 = 34.88 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = -14.812539627568892269558091535786 y[1] (numeric) = -14.812539627568892269558091535787 absolute error = 1e-30 relative error = 6.7510367914143091296563211191937e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.892 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 = 34.93 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = -14.794508918236136918409100608058 y[1] (numeric) = -14.794508918236136918409100608058 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 = 3.904 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 = 34.98 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop bytes used=84021904, alloc=4586680, time=2.81 x[1] = 1.49 y[1] (analytic) = -14.776462919961233278205817175567 y[1] (numeric) = -14.776462919961233278205817175567 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 = 3.915 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 = 35.03 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = -14.758401641727642373598386199615 y[1] (numeric) = -14.758401641727642373598386199615 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 = 3.926 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 = 35.08 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = -14.740325092469374886494433744432 y[1] (numeric) = -14.740325092469374886494433744432 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 = 3.937 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 = 35.13 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = -14.7222332810713499874859774569 y[1] (numeric) = -14.722233281071349987485977456899 absolute error = 1e-30 relative error = 6.7924477279253457945266320880578e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.948 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 = 35.18 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = -14.704126216369750561895647077364 y[1] (numeric) = -14.704126216369750561895647077364 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 = 3.96 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 = 35.23 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = -14.68600390715237487668791958677 y[1] (numeric) = -14.686003907152374876687919586769 absolute error = 1e-30 relative error = 6.8092042350130397758682162552816e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.971 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 = 35.28 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = -14.667866362158984733769535885901 y[1] (numeric) = -14.6678663621589847337695358859 absolute error = 1e-30 relative error = 6.8176241541159537487553990982452e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.982 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 = 35.33 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = -14.649713590081650154494981006195 y[1] (numeric) = -14.649713590081650154494981006194 absolute error = 1e-30 relative error = 6.8260720173876553012656154782495e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.993 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 = 35.38 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop bytes used=88023316, alloc=4586680, time=2.96 x[1] = 1.57 y[1] (analytic) = -14.631545599565090639497597867893 y[1] (numeric) = -14.631545599565090639497597867892 absolute error = 1e-30 relative error = 6.8345479511728691792320009751232e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.004 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 = 35.43 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = -14.613362399207013047284292308001 y[1] (numeric) = -14.613362399207013047284292308 absolute error = 1e-30 relative error = 6.8430520826217552107154410162111e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.016 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 = 35.48 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = -14.595163997558446134361607775912 y[1] (numeric) = -14.595163997558446134361607775911 absolute error = 1e-30 relative error = 6.8515845396960604703477919576289e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.027 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 = 35.53 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = -14.576950403124071799002941345303 y[1] (numeric) = -14.576950403124071799002941345303 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 = 4.038 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 = 35.58 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = -14.558721624362553070120584284683 y[1] (numeric) = -14.558721624362553070120584284684 absolute error = 1e-30 relative error = 6.8687349466631795704731661885194e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.049 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 = 35.63 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = -14.540477669686858882071852131936 y[1] (numeric) = -14.540477669686858882071852131936 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 = 4.061 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 = 35.68 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = -14.522218547464585675605578637542 y[1] (numeric) = -14.522218547464585675605578637542 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 = 4.072 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 = 35.73 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = -14.503944266018275864543448371687 y[1] (numeric) = -14.503944266018275864543448371687 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 = 4.083 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 = 35.78 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = -14.485654833625733207189803065994 y[1] (numeric) = -14.485654833625733207189803065995 absolute error = 1e-30 relative error = 6.9033813899713210861096350869552e-30 % Correct digits = 32 h = 0.01 bytes used=92024608, alloc=4586680, time=3.09 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.094 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 = 35.83 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = -14.467350258520335120873451109781 y[1] (numeric) = -14.467350258520335120873451109782 absolute error = 1e-30 relative error = 6.9121157788452973390867387645481e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.105 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 = 35.88 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = -14.449030548891341977445417526161 y[1] (numeric) = -14.449030548891341977445417526161 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 = 4.117 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 = 35.93 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = -14.430695712884203416987277816025 y[1] (numeric) = -14.430695712884203416987277816025 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 = 4.128 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 = 35.98 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = -14.412345758600861716425512864457 y[1] (numeric) = -14.412345758600861716425512864457 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 = 4.139 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 = 36.02 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = -14.393980694100052249197998098132 y[1] (numeric) = -14.393980694100052249197998098131 absolute error = 1e-30 relative error = 6.9473484872040291870835357235782e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.15 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 = 36.07 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = -14.375600527397601071579097439732 y[1] (numeric) = -14.375600527397601071579097439731 absolute error = 1e-30 relative error = 6.9562311368777919468564199540145e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.161 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 = 36.12 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = -14.357205266466719670739675112943 y[1] (numeric) = -14.357205266466719670739675112942 absolute error = 1e-30 relative error = 6.9651438524434920031137138687294e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.173 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 = 36.17 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = -14.338794919238296909097474288725 y[1] (numeric) = -14.338794919238296909097474288724 absolute error = 1e-30 relative error = 6.9740867739052776306745639657077e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.184 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 = 36.22 Order of pole (six term test) = -2.49 bytes used=96025948, alloc=4586680, time=3.23 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = -14.320369493601188199001553588006 y[1] (numeric) = -14.320369493601188199001553588006 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 = 4.195 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 = 36.27 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = -14.301928997402501941291637492173 y[1] (numeric) = -14.301928997402501941291637492172 absolute error = 1e-30 relative error = 6.9920637990974414811121368486428e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.206 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 = 36.32 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = -14.283473438447883260779145843697 y[1] (numeric) = -14.283473438447883260779145843696 absolute error = 1e-30 relative error = 7.0010981874214568980656587500633e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.218 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 = 36.37 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = -14.265002824501795071211145981192 y[1] (numeric) = -14.265002824501795071211145981191 absolute error = 1e-30 relative error = 7.0101633508433951489950138128552e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.229 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 = 36.42 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = -14.246517163287796501801347733196 y[1] (numeric) = -14.246517163287796501801347733195 absolute error = 1e-30 relative error = 7.0192594339964353356150670456880e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.24 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 = 36.46 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = -14.228016462488818716943369431611 y[1] (numeric) = -14.228016462488818716943369431611 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 = 4.251 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 = 36.51 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = -14.209500729747438160260678992299 y[1] (numeric) = -14.209500729747438160260678992298 absolute error = 1e-30 relative error = 7.0375449427755802154771102307651e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.262 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 = 36.56 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = -14.190969972666147253694698300678 y[1] (numeric) = -14.190969972666147253694698300678 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 = 4.274 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 = 36.61 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop bytes used=100026916, alloc=4586680, time=3.37 x[1] = 1.82 y[1] (analytic) = -14.172424198807622581887395557662 y[1] (numeric) = -14.172424198807622581887395557661 absolute error = 1e-30 relative error = 7.0559558899184913239004964932812e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.285 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 = 36.66 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = -14.153863415694990591677126289184 y[1] (numeric) = -14.153863415694990591677126289183 absolute error = 1e-30 relative error = 7.0652087746665419106258964566748e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.296 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 = 36.71 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = -14.135287630812090836096370198485 y[1] (numeric) = -14.135287630812090836096370198483 absolute error = 2e-30 relative error = 1.4148986934234017944116024943520e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.307 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 = 36.75 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = -14.116696851603736791837202051043 y[1] (numeric) = -14.116696851603736791837202051041 absolute error = 2e-30 relative error = 1.4167620237398443969029964722914e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.318 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 = 36.8 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = -14.098091085475974278734687662721 y[1] (numeric) = -14.098091085475974278734687662719 absolute error = 2e-30 relative error = 1.4186317763689471696623445134493e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.33 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 = 36.85 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = -14.07947033979633750940977129542 y[1] (numeric) = -14.079470339796337509409771295418 absolute error = 2e-30 relative error = 1.4205079819990802433493554592148e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.341 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 = 36.9 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = -14.060834621894102796811481905533 y[1] (numeric) = -14.060834621894102796811481905531 absolute error = 2e-30 relative error = 1.4223906715223029805403574297683e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.352 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 = 36.95 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = -14.042183939060539947003299288433 y[1] (numeric) = -14.042183939060539947003299288432 absolute error = 1e-30 relative error = 7.1213993801800512690844742320186e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.363 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 = 36.99 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop bytes used=104028452, alloc=4586680, time=3.50 x[1] = 1.9 y[1] (analytic) = -14.023518298549161364150156689029 y[1] (numeric) = -14.023518298549161364150156689027 absolute error = 2e-30 relative error = 1.4261756268445951042780403784236e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.375 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 = 37.04 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = -14.004837707575968894280686227042 y[1] (numeric) = -14.00483770757596889428068622704 absolute error = 2e-30 relative error = 1.4280779554611279665753309862228e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.386 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 = 37.09 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = -13.986142173319698434023812620538 y[1] (numeric) = -13.986142173319698434023812620536 absolute error = 2e-30 relative error = 1.4299868936090526490487870950519e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.397 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 = 37.14 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = -13.967431702922062330149547000844 y[1] (numeric) = -13.967431702922062330149547000842 absolute error = 2e-30 relative error = 1.4319024732238992600582735332865e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.408 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 = 37.18 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = -13.948706303487989595380706563134 y[1] (numeric) = -13.948706303487989595380706563132 absolute error = 2e-30 relative error = 1.4338247264550142741571182477631e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.419 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 = 37.23 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = -13.929965982085863965585170440732 y[1] (numeric) = -13.929965982085863965585170440731 absolute error = 1e-30 relative error = 7.1787684283365396717251942578565e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.431 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 = 37.28 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = -13.911210745747759823107063100757 y[1] (numeric) = -13.911210745747759823107063100756 absolute error = 1e-30 relative error = 7.1884469172150959463283385680361e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.442 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 = 37.33 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = -13.892440601469676010649821768662 y[1] (numeric) = -13.89244060146967601064982176866 absolute error = 2e-30 relative error = 1.4396318525834983668809547986588e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.453 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 = 37.37 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop bytes used=108029372, alloc=4586680, time=3.64 x[1] = 1.98 y[1] (analytic) = -13.873655556211767559784344336627 y[1] (numeric) = -13.873655556211767559784344336626 absolute error = 1e-30 relative error = 7.2079056305550389443055828181862e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.464 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 = 37.42 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = -13.854855616898575357821221677558 y[1] (numeric) = -13.854855616898575357821221677557 absolute error = 1e-30 relative error = 7.2176861863527026633762670687292e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.475 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 = 37.47 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = -13.836040790419253776457328343713 y[1] (numeric) = -13.836040790419253776457328343712 absolute error = 1e-30 relative error = 7.2275010976582877557747700882950e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.487 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 = 37.52 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = -13.817211083627796285283675582438 y[1] (numeric) = -13.817211083627796285283675582438 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 = 4.498 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 = 37.56 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = -13.798366503343259072923319938145 y[1] (numeric) = -13.798366503343259072923319938145 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 = 4.509 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 = 37.61 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = -13.779507056349982698255171046757 y[1] (numeric) = -13.779507056349982698255171046757 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 = 4.52 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 = 37.66 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = -13.760632749397811793871657262936 y[1] (numeric) = -13.760632749397811793871657262935 absolute error = 1e-30 relative error = 7.2671076847375471553380128971985e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.532 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 = 37.7 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = -13.741743589202312843615293218743 y[1] (numeric) = -13.741743589202312843615293218742 absolute error = 1e-30 relative error = 7.2770969237539707835463405217319e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.543 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 = 37.75 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop bytes used=112030280, alloc=4586680, time=3.77 x[1] = 2.06 y[1] (analytic) = -13.722839582444990055741157005216 y[1] (numeric) = -13.722839582444990055741157005215 absolute error = 1e-30 relative error = 7.2871215464710008862394120696426e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.554 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 = 37.8 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = -13.70392073577349935295903604204 y[1] (numeric) = -13.703920735773499352959036042039 absolute error = 1e-30 relative error = 7.2971817283614516363946202330873e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.565 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 = 37.84 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = -13.684987055801860500320451392893 y[1] (numeric) = -13.684987055801860500320451392892 absolute error = 1e-30 relative error = 7.3072776460978963411024936838004e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.576 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 = 37.89 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = -13.666038549110667391631833679614 y[1] (numeric) = -13.666038549110667391631833679613 absolute error = 1e-30 relative error = 7.3174094775627287292540823943817e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.588 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 = 37.94 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = -13.647075222247296514795715035913 y[1] (numeric) = -13.647075222247296514795715035912 absolute error = 1e-30 relative error = 7.3275774018583273290486003752006e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.599 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 = 37.98 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = -13.6280970817261136162068376716 y[1] (numeric) = -13.628097081726113616206837671598 absolute error = 2e-30 relative error = 1.4675563198634648303909261676013e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.61 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 = 38.03 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = -13.609104134028678584059479263449 y[1] (numeric) = -13.609104134028678584059479263448 absolute error = 1e-30 relative error = 7.3480222515129789164260840503999e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.621 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 = 38.08 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = -13.5900963856039485701559789026 y[1] (numeric) = -13.590096385603948570155978902599 absolute error = 1e-30 relative error = 7.3582995412696600615957142333368e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.632 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 = 38.12 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop bytes used=116031144, alloc=4586680, time=3.91 x[1] = 2.14 y[1] (analytic) = -13.57107384286847936954433670718 y[1] (numeric) = -13.571073842868479369544336707178 absolute error = 2e-30 relative error = 1.4737227305346867636697423865097e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.644 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 = 38.17 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = -13.55203651220662507705477905444 y[1] (numeric) = -13.552036512206625077054779054438 absolute error = 2e-30 relative error = 1.4757929542165525245242273752047e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.655 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 = 38.22 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = -13.532984399970736039551254868731 y[1] (numeric) = -13.532984399970736039551254868729 absolute error = 2e-30 relative error = 1.4778706166278628346954541938833e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.666 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 = 38.26 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = -13.513917512481355122463883222332 y[1] (numeric) = -13.51391751248135512246388322233 absolute error = 2e-30 relative error = 1.4799557553557764913001928207213e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.677 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 = 38.31 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = -13.494835856027412308922336865159 y[1] (numeric) = -13.494835856027412308922336865157 absolute error = 2e-30 relative error = 1.4820484082484844142586831418385e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.689 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 = 38.35 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = -13.475739436866417649567949859344 y[1] (numeric) = -13.475739436866417649567949859342 absolute error = 2e-30 relative error = 1.4841486134174394440816739360575e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.7 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 = 38.4 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = -13.456628261224652580883911348691 y[1] (numeric) = -13.45662826122465258088391134869 absolute error = 1e-30 relative error = 7.4312820461980467358802767683786e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.711 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 = 38.45 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = -13.437502335297359629648184131467 y[1] (numeric) = -13.437502335297359629648184131466 absolute error = 1e-30 relative error = 7.4418591717987665386165662382114e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.722 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 = 38.49 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop bytes used=120032360, alloc=4586680, time=4.05 x[1] = 2.22 y[1] (analytic) = -13.418361665248930520882699984481 y[1] (numeric) = -13.418361665248930520882699984479 absolute error = 2e-30 relative error = 1.4904949276927221890673661772789e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.733 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 = 38.54 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = -13.399206257213092706444868798839 y[1] (numeric) = -13.399206257213092706444868798837 absolute error = 2e-30 relative error = 1.4926257284257828514909251610818e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.745 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 = 38.58 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = -13.38003611729309433118343202996 y[1] (numeric) = -13.380036117293094331183432029958 absolute error = 2e-30 relative error = 1.4947642760209668172633937699003e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.756 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 = 38.63 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = -13.36085125156188765336013050944 y[1] (numeric) = -13.360851251561887653360130509438 absolute error = 2e-30 relative error = 1.4969106102174435779095733926231e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.767 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 = 38.68 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = -13.341651666062310935821481334289 y[1] (numeric) = -13.341651666062310935821481334287 absolute error = 2e-30 relative error = 1.4990647710339188427781473658434e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.778 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 = 38.72 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = -13.322437366807268824191108579594 y[1] (numeric) = -13.322437366807268824191108579592 absolute error = 2e-30 relative error = 1.5012267987710580321832008841108e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.789 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 = 38.77 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = -13.303208359779911228142489405704 y[1] (numeric) = -13.303208359779911228142489405701 absolute error = 3e-30 relative error = 2.2550951010209029839780378605845e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.801 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 = 38.81 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = -13.283964650933810721604603348272 y[1] (numeric) = -13.283964650933810721604603348269 absolute error = 3e-30 relative error = 2.2583619264517628342089661608459e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.812 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 = 38.86 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop bytes used=124033336, alloc=4586680, time=4.18 x[1] = 2.3 y[1] (analytic) = -13.26470624619313847754875192649 y[1] (numeric) = -13.264706246193138477548751926487 absolute error = 3e-30 relative error = 2.2616407361911804941940963739233e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.823 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 = 38.9 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = -13.245433151452838752803693033772 y[1] (numeric) = -13.245433151452838752803693033769 absolute error = 3e-30 relative error = 2.2649315924190383770185908854551e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.834 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 = 38.95 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = -13.226145372578801938148155828355 y[1] (numeric) = -13.226145372578801938148155828352 absolute error = 3e-30 relative error = 2.2682345577569190384818696485298e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.846 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 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = -13.206842915408036188734714026969 y[1] (numeric) = -13.206842915408036188734714026967 absolute error = 2e-30 relative error = 1.5143664635146516906898346461682e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.857 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 = 39.04 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = -13.187525785748837649706846673825 y[1] (numeric) = -13.187525785748837649706846673823 absolute error = 2e-30 relative error = 1.5165847123205700157381364434312e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.868 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 = 39.09 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = -13.168193989380959291681754680249 y[1] (numeric) = -13.168193989380959291681754680247 absolute error = 2e-30 relative error = 1.5188111609024227275107671942564e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.879 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 = 39.13 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = -13.148847532055778370585078775447 y[1] (numeric) = -13.148847532055778370585078775444 absolute error = 3e-30 relative error = 2.2815687783178363658865827267597e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.89 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 = 39.18 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = -13.129486419496462526140031019657 y[1] (numeric) = -13.129486419496462526140031019653 absolute error = 4e-30 relative error = 3.0465776590166171951712522027518e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.902 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 = 39.22 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop bytes used=128034308, alloc=4586680, time=4.32 x[1] = 2.38 y[1] (analytic) = -13.110110657398134533132559705543 y[1] (numeric) = -13.11011065739813453313255970554 absolute error = 3e-30 relative error = 2.2883102045420778544884075899260e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.913 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 = 39.27 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = -13.090720251428035719395969243693 y[1] (numeric) = -13.090720251428035719395969243689 absolute error = 4e-30 relative error = 3.0555996333079147863894709753497e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.924 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 = 39.31 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = -13.07131520722568806428286633865 y[1] (numeric) = -13.071315207225688064282866338647 absolute error = 3e-30 relative error = 2.2951018718771550852100924138983e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.935 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 = 39.36 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = -13.051895530403054991219356151912 y[1] (numeric) = -13.051895530403054991219356151908 absolute error = 4e-30 relative error = 3.0646889493425758229642120243835e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.946 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 = 39.4 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = -13.032461226544700867766022830654 y[1] (numeric) = -13.03246122654470086776602283065 absolute error = 4e-30 relative error = 3.0692590835050739105737077994092e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.958 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 = 39.45 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = -13.013012301207949226442354224563 y[1] (numeric) = -13.01301230120794922644235422456 absolute error = 3e-30 relative error = 2.3053847414879652641892612051990e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.969 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 = 39.49 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = -12.993548759923039719405868123589 y[1] (numeric) = -12.993548759923039719405868123586 absolute error = 3e-30 relative error = 2.3088380668206065073071636266012e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.98 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 = 39.54 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.45 y[1] (analytic) = -12.974070608193283819914225051936 y[1] (numeric) = -12.974070608193283819914225051932 absolute error = 4e-30 relative error = 3.0830724764777765401439817404424e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.991 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 = 39.58 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop bytes used=132036156, alloc=4586680, time=4.45 x[1] = 2.46 y[1] (analytic) = -12.954577851495219283338029474724 y[1] (numeric) = -12.954577851495219283338029474721 absolute error = 3e-30 relative error = 2.3157836823326045767007946210759e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.003 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 = 39.63 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = -12.935070495278763380333786924863 y[1] (numeric) = -12.93507049527876338033378692486 absolute error = 3e-30 relative error = 2.3192761114792417489052614343003e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.014 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 = 39.67 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = -12.915548544967364914630559517813 y[1] (numeric) = -12.91554854496736491463055951781 absolute error = 3e-30 relative error = 2.3227817150429675520657494939975e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.025 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 = 39.71 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = -12.896012005958155037730207821937 y[1] (numeric) = -12.896012005958155037730207821934 absolute error = 3e-30 relative error = 2.3263005637820080019022629930588e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.036 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 = 39.76 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = -12.876460883622096872669685058181 y[1] (numeric) = -12.876460883622096872669685058178 absolute error = 3e-30 relative error = 2.3298327289727392981094012416549e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.047 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 = 39.8 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = -12.856895183304133958844622801414 y[1] (numeric) = -12.856895183304133958844622801411 absolute error = 3e-30 relative error = 2.3333782824143865796255240662908e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.059 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 = 39.85 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = -12.837314910323337529746379138057 y[1] (numeric) = -12.837314910323337529746379138054 absolute error = 3e-30 relative error = 2.3369372964337742858563965589641e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.07 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 = 39.89 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = -12.81772006997305263531977468193 y[1] (numeric) = -12.817720069973052635319774681926 absolute error = 4e-30 relative error = 3.1206797918535050435378470579356e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.081 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 = 39.94 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop bytes used=136037104, alloc=4586680, time=4.59 x[1] = 2.54 y[1] (analytic) = -12.798110667521043120505883719354 y[1] (numeric) = -12.79811066752104312050588371935 absolute error = 4e-30 relative error = 3.1254613309065785620248664063800e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.092 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 = 39.98 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = -12.778486708209635471393442463572 y[1] (numeric) = -12.778486708209635471393442463569 absolute error = 3e-30 relative error = 2.3476958332418402103415895448338e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.103 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 = 40.03 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = -12.758848197255861540263650013195 y[1] (numeric) = -12.758848197255861540263650013191 absolute error = 4e-30 relative error = 3.1350792314155043786200044393458e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.115 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 = 40.07 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (analytic) = -12.739195139851600160676336829311 y[1] (numeric) = -12.739195139851600160676336829308 absolute error = 3e-30 relative error = 2.3549368441772273730389905115610e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.126 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 = 40.11 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = -12.719527541163717663610627691655 y[1] (numeric) = -12.719527541163717663610627691652 absolute error = 3e-30 relative error = 2.3585781706837894799486264762990e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.137 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 = 40.16 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = -12.699845406334207305540299094042 y[1] (numeric) = -12.699845406334207305540299094039 absolute error = 3e-30 relative error = 2.3622334792388199811009973418560e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.148 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 = 40.2 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = -12.680148740480327619192993417069 y[1] (numeric) = -12.680148740480327619192993417067 absolute error = 2e-30 relative error = 1.5772685643782435903543074362208e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.159 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 = 40.25 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = -12.66043754869473969761327307828 y[1] (numeric) = -12.660437548694739697613273078278 absolute error = 2e-30 relative error = 1.5797242333115059937608409642529e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.171 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 = 40.29 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.62 bytes used=140038564, alloc=4586680, time=4.73 y[1] (analytic) = -12.640711836045643422022146884314 y[1] (numeric) = -12.640711836045643422022146884312 absolute error = 2e-30 relative error = 1.5821893782096167912747774065479e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.182 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 = 40.33 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = -12.620971607576912643840148232794 y[1] (numeric) = -12.620971607576912643840148232792 absolute error = 2e-30 relative error = 1.5846640513788287831080134835577e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.193 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 = 40.38 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = -12.601216868308229331117261418217 y[1] (numeric) = -12.601216868308229331117261418214 absolute error = 3e-30 relative error = 2.3807224582769708673114351931351e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.204 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 = 40.42 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = -12.581447623235216689490949406884 y[1] (numeric) = -12.581447623235216689490949406881 absolute error = 3e-30 relative error = 2.3844632905832297672298084626360e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.216 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 = 40.47 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = -12.561663877329571267673205907296 y[1] (numeric) = -12.561663877329571267673205907293 absolute error = 3e-30 relative error = 2.3882186542295516120220710519846e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.227 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 = 40.51 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = -12.541865635539194057348908735457 y[1] (numeric) = -12.541865635539194057348908735455 absolute error = 2e-30 relative error = 1.5946590867093250674064404256189e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.238 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 = 40.55 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = -12.522052902788320597250763224667 y[1] (numeric) = -12.522052902788320597250763224664 absolute error = 3e-30 relative error = 2.3957732995457810246539587918799e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.249 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 = 40.6 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = -12.502225683977650091060767115797 y[1] (numeric) = -12.502225683977650091060767115795 absolute error = 2e-30 relative error = 1.5997151631674027528477545859930e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.26 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 = 40.64 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = -12.482383983984473548674375830162 y[1] (numeric) = -12.482383983984473548674375830159 absolute error = 3e-30 relative error = 2.4033870483788600676028754598760e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.272 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 = 40.68 bytes used=144040208, alloc=4586680, time=4.87 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = -12.462527807662800960251373590207 y[1] (numeric) = -12.462527807662800960251373590204 absolute error = 3e-30 relative error = 2.4072162937565507916194618226266e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.283 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 = 40.73 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = -12.442657159843487512366836295536 y[1] (numeric) = -12.442657159843487512366836295533 absolute error = 3e-30 relative error = 2.4110605648462117626037926945838e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.294 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 = 40.77 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = -12.422772045334358855466481620283 y[1] (numeric) = -12.422772045334358855466481620281 absolute error = 2e-30 relative error = 1.6099466308336095759980079465212e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.305 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 = 40.81 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (analytic) = -12.40287246892033543172311615599 y[1] (numeric) = -12.402872468920335431723116155988 absolute error = 2e-30 relative error = 1.6125296821455579445385803074602e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.316 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 = 40.86 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = -12.382958435363555872284784702147 y[1] (numeric) = -12.382958435363555872284784702145 absolute error = 2e-30 relative error = 1.6151229211012701406658543979588e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.328 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 = 40.9 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = -12.363029949403499472800579553202 y[1] (numeric) = -12.3630299494034994728005795532 absolute error = 2e-30 relative error = 1.6177264054080023201505142965823e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.339 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 = 40.94 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = -12.343087015757107756006854814484 y[1] (numeric) = -12.343087015757107756006854814482 absolute error = 2e-30 relative error = 1.6203401932165045076728837043369e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.35 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 = 40.99 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = -12.323129639118905130054789780025 y[1] (numeric) = -12.323129639118905130054789780023 absolute error = 2e-30 relative error = 1.6229643431252570639053718424640e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.361 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 = 41.03 Order of pole (six term test) = -2.487 bytes used=148041344, alloc=4586680, time=5.00 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = -12.303157824161118651159834005696 y[1] (numeric) = -12.303157824161118651159834005694 absolute error = 2e-30 relative error = 1.6255989141847560270409208852924e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.373 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 = 41.07 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = -12.283171575533796899054523089576 y[1] (numeric) = -12.283171575533796899054523089574 absolute error = 2e-30 relative error = 1.6282439659018479858771617716465e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.384 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 = 41.12 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = -12.263170897864927973628456893663 y[1] (numeric) = -12.263170897864927973628456893661 absolute error = 2e-30 relative error = 1.6308995582441151517042559871297e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.395 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 = 41.16 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = -12.243155795760556621042859952068 y[1] (numeric) = -12.243155795760556621042859952067 absolute error = 1e-30 relative error = 8.1678287582215565327934564803095e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.406 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 = 41.2 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = -12.223126273804900497512076428187 y[1] (numeric) = -12.223126273804900497512076428185 absolute error = 2e-30 relative error = 1.6362426070048493158990160613536e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.417 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 = 41.25 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = -12.203082336560465578850568889216 y[1] (numeric) = -12.203082336560465578850568889214 absolute error = 2e-30 relative error = 1.6389301857023409044361189452755e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.429 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 = 41.29 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = -12.183023988568160723791471400789 y[1] (numeric) = -12.183023988568160723791471400787 absolute error = 2e-30 relative error = 1.6416285495921894047137419348028e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.44 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 = 41.33 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = -12.162951234347411398991473397881 y[1] (numeric) = -12.16295123434741139899147339788 absolute error = 1e-30 relative error = 8.2216888050661809954404214823290e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.451 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 = 41.38 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop bytes used=152042156, alloc=4586680, time=5.14 x[1] = 2.87 y[1] (analytic) = -12.142864078396272573546762195046 y[1] (numeric) = -12.142864078396272573546762195044 absolute error = 2e-30 relative error = 1.6470578827924615870023205441789e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.462 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) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = -12.122762525191540790755909930698 y[1] (numeric) = -12.122762525191540790755909930696 absolute error = 2e-30 relative error = 1.6497889782497408208964037224391e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.473 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 = 41.46 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = -12.102646579188865424777936598677 y[1] (numeric) = -12.102646579188865424777936598675 absolute error = 2e-30 relative error = 1.6525311112026560657385246761539e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.485 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 = 41.5 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = -12.082516244822859129747296331499 y[1] (numeric) = -12.082516244822859129747296331496 absolute error = 3e-30 relative error = 2.4829265189570475735240004669875e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.496 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 = 41.55 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (analytic) = -12.062371526507207488822201307402 y[1] (numeric) = -12.0623715265072074888222013074 absolute error = 2e-30 relative error = 1.6580487473835271800842063334217e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.507 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 = 41.59 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = -12.04221242863477787055849891279 y[1] (numeric) = -12.042212428634777870558498912788 absolute error = 2e-30 relative error = 1.6608243807792879300465771568141e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.518 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 = 41.63 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = -12.022038955577727499918235763811 y[1] (numeric) = -12.022038955577727499918235763809 absolute error = 2e-30 relative error = 1.6636113120163222758308816410446e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.53 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 = 41.67 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (analytic) = -12.001851111687610751140059836333 y[1] (numeric) = -12.001851111687610751140059836331 absolute error = 2e-30 relative error = 1.6664096074749380248412536396923e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.541 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) = -2.487 TOP MAIN SOLVE Loop bytes used=156043312, alloc=4586680, time=5.28 x[1] = 2.95 y[1] (analytic) = -11.981648901295485669617712526725 y[1] (numeric) = -11.981648901295485669617712526723 absolute error = 2e-30 relative error = 1.6692193340632398495062104133891e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.552 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 = 41.76 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = -11.961432328712019729853029509546 y[1] (numeric) = -11.961432328712019729853029509544 absolute error = 2e-30 relative error = 1.6720405592223548742146251177241e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.563 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) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = -11.941201398227594836471086597765 y[1] (numeric) = -11.941201398227594836471086597763 absolute error = 2e-30 relative error = 1.6748733509317206705389254668539e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.574 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 = 41.84 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = -11.920956114112411575207378549294 y[1] (numeric) = -11.920956114112411575207378549292 absolute error = 2e-30 relative error = 1.6777177777144365302923635618818e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.586 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 = 41.89 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = -11.900696480616592720700189275071 y[1] (numeric) = -11.90069648061659272070018927507 absolute error = 1e-30 relative error = 8.4028695432133944992991953367813e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.597 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 = 41.93 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = -11.880422501970286007845585830281 y[1] (numeric) = -11.880422501970286007845585830279 absolute error = 2e-30 relative error = 1.6834418133431818733843622415406e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.608 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 = 41.97 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = -11.860134182383766173397730814692 y[1] (numeric) = -11.860134182383766173397730814691 absolute error = 1e-30 relative error = 8.4316078100139182839441282520218e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.619 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 = 42.01 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = -11.839831526047536274423443530706 y[1] (numeric) = -11.839831526047536274423443530705 absolute error = 1e-30 relative error = 8.4460661268701996463521762586470e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.63 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 = 42.06 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop bytes used=160044232, alloc=4586680, time=5.41 x[1] = 3.03 y[1] (analytic) = -11.81951453713242829014713486023 y[1] (numeric) = -11.819514537132428290147134860229 absolute error = 1e-30 relative error = 8.4605843739045252191408389146980e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.642 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 = 42.1 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = -11.79918321978970301365037998317 y[1] (numeric) = -11.799183219789703013650379983169 absolute error = 1e-30 relative error = 8.4751629106224101178866147678395e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.653 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 = 42.14 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = -11.778837578151149239819462672439 y[1] (numeric) = -11.778837578151149239819462672438 absolute error = 1e-30 relative error = 8.4898020994442116303754782254987e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.664 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 = 42.18 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = -11.758477616329182255864211102399 y[1] (numeric) = -11.758477616329182255864211102398 absolute error = 1e-30 relative error = 8.5045023057345818181634837253086e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.675 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 = 42.22 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = -11.738103338416941640662334272305 y[1] (numeric) = -11.738103338416941640662334272304 absolute error = 1e-30 relative error = 8.5192638978322789181430885719969e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.686 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 = 42.27 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (analytic) = -11.717714748488388379115246875363 y[1] (numeric) = -11.717714748488388379115246875362 absolute error = 1e-30 relative error = 8.5340872470803426458500380694817e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.698 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 = 42.31 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = -11.697311850598401297634025564011 y[1] (numeric) = -11.69731185059840129763402556401 absolute error = 1e-30 relative error = 8.5489727278566385854039355362608e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.709 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 = 42.35 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = -11.676894648782872826807658120024 y[1] (numeric) = -11.676894648782872826807658120023 absolute error = 1e-30 relative error = 8.5639207176047769356608551823995e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.72 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 = 42.39 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop bytes used=164045332, alloc=4586680, time=5.55 x[1] = 3.11 y[1] (analytic) = -11.656463147058804097240116297444 y[1] (numeric) = -11.656463147058804097240116297442 absolute error = 2e-30 relative error = 1.7157863193730821936799560523915e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.731 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 = 42.43 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (analytic) = -11.636017349424399374477990543073 y[1] (numeric) = -11.636017349424399374477990543071 absolute error = 2e-30 relative error = 1.7188011498615841284396397829902e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.743 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 = 42.47 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = -11.615557259859159838886458097549 y[1] (numeric) = -11.615557259859159838886458097547 absolute error = 2e-30 relative error = 1.7218287123524973810217046898351e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.754 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 = 42.52 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = -11.5950828823239767162682030287 y[1] (numeric) = -11.595082882323976716268203028698 absolute error = 2e-30 relative error = 1.7248690848505124620719024636078e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.765 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 = 42.56 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = -11.574594220761223764957555637618 y[1] (numeric) = -11.574594220761223764957555637616 absolute error = 2e-30 relative error = 1.7279223460055487324219443820154e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.776 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 = 42.6 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (analytic) = -11.554091279094849125060557693324 y[1] (numeric) = -11.554091279094849125060557693322 absolute error = 2e-30 relative error = 1.7309885751194105005616255585604e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.787 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 = 42.64 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = -11.533574061230466535450877574166 y[1] (numeric) = -11.533574061230466535450877574165 absolute error = 1e-30 relative error = 8.6703392607626293500061579760749e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.799 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 = 42.68 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = -11.513042571055445924071484293177 y[1] (numeric) = -11.513042571055445924071484293176 absolute error = 1e-30 relative error = 8.6858012886538476885520150251999e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.81 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 = 42.72 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop bytes used=168046804, alloc=4586680, time=5.69 x[1] = 3.19 y[1] (analytic) = -11.492496812439003377032730416866 y[1] (numeric) = -11.492496812439003377032730416865 absolute error = 1e-30 relative error = 8.7013293657618538240197059674455e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.821 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 = 42.77 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = -11.471936789232290491938980091693 y[1] (numeric) = -11.471936789232290491938980091691 absolute error = 2e-30 relative error = 1.7433847803949077610039763706150e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.832 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 = 42.81 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = -11.451362505268483120818138988637 y[1] (numeric) = -11.451362505268483120818138988634 absolute error = 3e-30 relative error = 2.6197755931835846177239570248664e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.843 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 = 42.85 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (analytic) = -11.430773964362869507971387359169 y[1] (numeric) = -11.430773964362869507971387359167 absolute error = 2e-30 relative error = 1.7496628016924279651545412686702e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.855 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 = 42.89 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = -11.410171170312937828004075133873 y[1] (numeric) = -11.410171170312937828004075133871 absolute error = 2e-30 relative error = 1.7528220831634969823522145199171e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.866 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 = 42.93 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = -11.389554126898463129243098826308 y[1] (numeric) = -11.389554126898463129243098826306 absolute error = 2e-30 relative error = 1.7559949913022875470884204676545e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.877 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 = 42.97 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (analytic) = -11.368922837881593687691133834689 y[1] (numeric) = -11.368922837881593687691133834688 absolute error = 1e-30 relative error = 8.7959080579557620739786731270115e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.888 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 = 43.01 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = -11.348277307006936776613832631616 y[1] (numeric) = -11.348277307006936776613832631615 absolute error = 1e-30 relative error = 8.8119101511782323727225528635289e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.9 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 = 43.06 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop bytes used=172048844, alloc=4652204, time=5.83 x[1] = 3.27 y[1] (analytic) = -11.327617538001643856802509527325 y[1] (numeric) = -11.327617538001643856802509527324 absolute error = 1e-30 relative error = 8.8279816708608129264222626536907e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.911 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 = 43.1 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = -11.306943534575495192501906572806 y[1] (numeric) = -11.306943534575495192501906572805 absolute error = 1e-30 relative error = 8.8441230553783226932080743560592e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.922 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 = 43.14 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (analytic) = -11.286255300420983897940363278493 y[1] (numeric) = -11.286255300420983897940363278492 absolute error = 1e-30 relative error = 8.8603347468375929562057548228698e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.933 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 = 43.18 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = -11.265552839213399419348085857676 y[1] (numeric) = -11.265552839213399419348085857675 absolute error = 1e-30 relative error = 8.8766171911171251704641149053370e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.944 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 = 43.22 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = -11.244836154610910457298220506121 y[1] (numeric) = -11.24483615461091045729822050612 absolute error = 1e-30 relative error = 8.8929708379072564580716734531607e-30 % Correct digits = 32 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.956 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 = 43.26 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = -11.224105250254647334155070792646 y[1] (numeric) = -11.224105250254647334155070792644 absolute error = 2e-30 relative error = 1.7818792281501680683870337482290e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.967 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 = 43.3 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = -11.203360129768783811364052695703 y[1] (numeric) = -11.203360129768783811364052695701 absolute error = 2e-30 relative error = 1.7851787114168900877497584284224e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.978 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 = 43.34 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = -11.182600796760618361268843456343 y[1] (numeric) = -11.182600796760618361268843456341 absolute error = 2e-30 relative error = 1.7884927096560229928501296699326e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.989 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 = 43.38 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop bytes used=176050112, alloc=4652204, time=5.97 x[1] = 3.35 y[1] (analytic) = -11.161827254820654898092643645281 y[1] (numeric) = -11.161827254820654898092643645279 absolute error = 2e-30 relative error = 1.7918213159375180077992156253215e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 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 = 43.42 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = -11.141039507522682972672527215063 y[1] (numeric) = -11.141039507522682972672527215061 absolute error = 2e-30 relative error = 1.7951646241354359841262817922123e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.012 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 = 43.47 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = -11.120237558423857435488493515546 y[1] (numeric) = -11.120237558423857435488493515544 absolute error = 2e-30 relative error = 1.7985227289366224858166070686519e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.023 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 = 43.51 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (analytic) = -11.099421411064777572482050112088 y[1] (numeric) = -11.099421411064777572482050112086 absolute error = 2e-30 relative error = 1.8018957258494955948486861178177e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.034 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 = 43.55 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = -11.078591068969565718112937710515 y[1] (numeric) = -11.078591068969565718112937710513 absolute error = 2e-30 relative error = 1.8052837112129481483394192078581e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.045 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 = 43.59 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = -11.057746535645945350056950637959 y[1] (numeric) = -11.057746535645945350056950637957 absolute error = 2e-30 relative error = 1.8086867822053661481692639580319e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.056 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 = 43.63 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = -11.036887814585318669902700355882 y[1] (numeric) = -11.036887814585318669902700355879 absolute error = 3e-30 relative error = 2.7181575552806476714593481860491e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.068 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 = 43.67 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (analytic) = -11.016014909262843674160607715718 y[1] (numeric) = -11.016014909262843674160607715715 absolute error = 3e-30 relative error = 2.7233078610645692759862007196118e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.079 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 = 43.71 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop bytes used=180051376, alloc=4652204, time=6.11 x[1] = 3.43 y[1] (analytic) = -10.995127823137510719853384553989 y[1] (numeric) = -10.995127823137510719853384553986 absolute error = 3e-30 relative error = 2.7284812402880606857444747017451e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.09 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 = 43.75 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = -10.974226559652218588913769326337 y[1] (numeric) = -10.974226559652218588913769326334 absolute error = 3e-30 relative error = 2.7336778438945151810320197277645e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.101 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 = 43.79 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = -10.953311122233850055572307479205 y[1] (numeric) = -10.953311122233850055572307479202 absolute error = 3e-30 relative error = 2.7388978241569123751229855737594e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.113 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 = 43.83 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = -10.932381514293346960875507948664 y[1] (numeric) = -10.932381514293346960875507948661 absolute error = 3e-30 relative error = 2.7441413346924488313512317888531e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.124 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) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = -10.911437739225784798432755465496 y[1] (numeric) = -10.911437739225784798432755465493 absolute error = 3e-30 relative error = 2.7494085304773625441237437542379e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.135 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 = 43.91 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = -10.890479800410446815448907251941 y[1] (numeric) = -10.890479800410446815448907251937 absolute error = 4e-30 relative error = 3.6729327571492723806778565000605e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.146 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 = 43.95 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = -10.869507701210897633058545344884 y[1] (numeric) = -10.86950770121089763305854534488 absolute error = 4e-30 relative error = 3.6800194727810784963885748121161e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.157 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 = 43.99 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = -10.84852144497505638993738540583 y[1] (numeric) = -10.848521444975056389937385405826 absolute error = 4e-30 relative error = 3.6871383997242926169548273900389e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.169 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 = 44.03 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop bytes used=184052416, alloc=4652204, time=6.25 x[1] = 3.51 y[1] (analytic) = -10.827521035035269413126352817682 y[1] (numeric) = -10.827521035035269413126352817678 absolute error = 4e-30 relative error = 3.6942897520650907300247017984808e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.18 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 = 44.07 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = -10.806506474708382419964320563172 y[1] (numeric) = -10.806506474708382419964320563168 absolute error = 4e-30 relative error = 3.7014737458045538085255369851898e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.191 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 = 44.11 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = -10.785477767295812254986454371989 y[1] (numeric) = -10.785477767295812254986454371984 absolute error = 5e-30 relative error = 4.6358632486000890978075832632563e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.202 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 = 44.15 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = -10.764434916083618165606522554972 y[1] (numeric) = -10.764434916083618165606522554967 absolute error = 5e-30 relative error = 4.6449256639837906598198077352663e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.213 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 = 44.19 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (analytic) = -10.743377924342572620363394553809 y[1] (numeric) = -10.743377924342572620363394553804 absolute error = 5e-30 relative error = 4.6540297057510137393963836422240e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.225 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 = 44.23 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = -10.722306795328231673474267359124 y[1] (numeric) = -10.722306795328231673474267359119 absolute error = 5e-30 relative error = 4.6631756537488067698463545436861e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.236 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 = 44.28 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = -10.70122153228100487939991651895 y[1] (numeric) = -10.701221532281004879399916518945 absolute error = 5e-30 relative error = 4.6723637903552787581501567650425e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.247 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 = 44.32 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = -10.680122138426224761090462496291 y[1] (numeric) = -10.680122138426224761090462496286 absolute error = 5e-30 relative error = 4.6815944005082115424325440931299e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.258 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 = 44.36 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.59 bytes used=188054328, alloc=4652204, time=6.38 y[1] (analytic) = -10.65900861697421583554376775324 y[1] (numeric) = -10.659008616974215835543767753235 absolute error = 5e-30 relative error = 4.6908677717340614573281971057960e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.27 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 = 44.4 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = -10.637880971120363200272629343901 y[1] (numeric) = -10.637880971120363200272629343896 absolute error = 5e-30 relative error = 4.7001841941773566013439448418179e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.281 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 = 44.44 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = -10.616739204045180684241400281519 y[1] (numeric) = -10.616739204045180684241400281514 absolute error = 5e-30 relative error = 4.7095439606304960132082528530143e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.292 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 = 44.48 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = -10.595583318914378566797554885661 y[1] (numeric) = -10.595583318914378566797554885656 absolute error = 5e-30 relative error = 4.7189473665639571794048302871955e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.303 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 = 44.52 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = -10.574413318878930868089003177283 y[1] (numeric) = -10.574413318878930868089003177278 absolute error = 5e-30 relative error = 4.7283947101569184126659582808921e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.314 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 = 44.55 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (analytic) = -10.553229207075142214423651721034 y[1] (numeric) = -10.553229207075142214423651721029 absolute error = 5e-30 relative error = 4.7378862923283027612068604655535e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.326 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 = 44.59 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = -10.532030986624714281993797745609 y[1] (numeric) = -10.532030986624714281993797745604 absolute error = 5e-30 relative error = 4.7474224167682502309709177414770e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.337 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 = 44.63 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = -10.510818660634811822354424615736 y[1] (numeric) = -10.51081866063481182235442461573 absolute error = 6e-30 relative error = 5.7084040679640302738207780280702e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.348 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 = 44.67 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (analytic) = -10.489592232198128273011334574498 y[1] (numeric) = -10.489592232198128273011334574492 absolute error = 6e-30 relative error = 5.7199554255148395085717504992332e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.359 bytes used=192055480, alloc=4652204, time=6.52 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 = 44.71 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (analytic) = -10.468351704392950956442303991481 y[1] (numeric) = -10.468351704392950956442303991474 absolute error = 7e-30 relative error = 6.6868215719791990538314591429660e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.37 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 = 44.75 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = -10.447097080283225870842072086924 y[1] (numeric) = -10.447097080283225870842072086918 absolute error = 6e-30 relative error = 5.7432222117699868150963821742214e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.382 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 = 44.79 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = -10.425828362918622075849971276747 y[1] (numeric) = -10.425828362918622075849971276741 absolute error = 6e-30 relative error = 5.7549384002331215953302816339539e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.393 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 = 44.83 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = -10.404545555334595676487370994298 y[1] (numeric) = -10.404545555334595676487370994292 absolute error = 6e-30 relative error = 5.7667102980040230759249777840417e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.404 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 = 44.87 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = -10.383248660552453408500832261677 y[1] (numeric) = -10.383248660552453408500832261671 absolute error = 6e-30 relative error = 5.7785382938915022404353220605732e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.415 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 = 44.91 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = -10.361937681579415828275952647974 y[1] (numeric) = -10.361937681579415828275952647967 absolute error = 7e-30 relative error = 6.7554932437434102617591114109942e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.426 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 = 44.95 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = -10.340612621408680110456315876177 y[1] (numeric) = -10.340612621408680110456315876171 absolute error = 6e-30 relative error = 5.8023641535298442524286159002821e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.438 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 = 44.99 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = -10.319273483019482456371742606759 y[1] (numeric) = -10.319273483019482456371742606752 absolute error = 7e-30 relative error = 6.7834232821899756847304470999657e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.449 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 = 45.03 Order of pole (six term test) = -2.484 bytes used=196056584, alloc=4652204, time=6.65 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = -10.297920269377160116350164284402 y[1] (numeric) = -10.297920269377160116350164284395 absolute error = 7e-30 relative error = 6.7974890238913985369932907835183e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.46 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 = 45.07 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (analytic) = -10.276552983433213028957905902826 y[1] (numeric) = -10.276552983433213028957905902819 absolute error = 7e-30 relative error = 6.8116225462805183461202082983474e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.471 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 = 45.11 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = -10.255171628125365080183961704956 y[1] (numeric) = -10.255171628125365080183961704949 absolute error = 7e-30 relative error = 6.8258243292604873395143360522705e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.483 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 = 45.15 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = -10.233776206377624985554975840958 y[1] (numeric) = -10.233776206377624985554975840951 absolute error = 7e-30 relative error = 6.8400948572997365463707427149214e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.494 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 = 45.19 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = -10.212366721100346798139093567903 y[1] (numeric) = -10.212366721100346798139093567897 absolute error = 6e-30 relative error = 5.8752296738453992611863848068254e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.505 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 = 45.23 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (analytic) = -10.190943175190290045368623468168 y[1] (numeric) = -10.190943175190290045368623468161 absolute error = 7e-30 relative error = 6.8688441095829118233462689914297e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.516 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 = 45.27 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = -10.169505571530679497583543227111 y[1] (numeric) = -10.169505571530679497583543227104 absolute error = 7e-30 relative error = 6.8833238260829073270458499718013e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.527 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 = 45.31 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = -10.148053912991264571170286643158 y[1] (numeric) = -10.148053912991264571170286643151 absolute error = 7e-30 relative error = 6.8978742722669112301730928355731e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.539 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 = 45.35 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop bytes used=200058288, alloc=4652204, time=6.79 x[1] = 3.84 y[1] (analytic) = -10.126588202428378369142963703968 y[1] (numeric) = -10.126588202428378369142963703961 absolute error = 7e-30 relative error = 6.9124959562603567056305443148416e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.55 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 = 45.38 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = -10.105108442684996361987184768953 y[1] (numeric) = -10.105108442684996361987184768946 absolute error = 7e-30 relative error = 6.9271893910918309438866558309095e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.561 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 = 45.42 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (analytic) = -10.083614636590794711559980226801 y[1] (numeric) = -10.083614636590794711559980226794 absolute error = 7e-30 relative error = 6.9419550947522673299167815418909e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.572 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 = 45.46 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = -10.062106786962208240812924579982 y[1] (numeric) = -10.062106786962208240812924579975 absolute error = 7e-30 relative error = 6.9567935902549977049927632322084e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.583 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 = 45.5 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = -10.04058489660248805207948493552 y[1] (numeric) = -10.040584896602488052079484935513 absolute error = 7e-30 relative error = 6.9717054056966793252489214763596e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.595 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 = 45.54 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = -10.019048968301758796641814597053 y[1] (numeric) = -10.019048968301758796641814597047 absolute error = 6e-30 relative error = 5.9885923494163812114688663848533e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.606 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 = 45.58 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (analytic) = -9.997499004837075598266699156056 y[1] (numeric) = -9.9974990048370755982666991560501 absolute error = 5.9e-30 relative error = 5.9014759562820776134221497710926e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.617 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 = 45.62 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = -9.975935008972480633375131522282 y[1] (numeric) = -9.9759350089724806333751315222763 absolute error = 5.7e-30 relative error = 5.7137501345721967488367168736440e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.628 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 = 45.66 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop bytes used=204059144, alloc=4652204, time=6.93 x[1] = 3.92 y[1] (analytic) = -9.954356983459059370485040119814 y[1] (numeric) = -9.9543569834590593704850401198083 absolute error = 5.7e-30 relative error = 5.7261358111544193651930242085819e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.639 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 = 45.7 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = -9.932764931034996471542017462104 y[1] (numeric) = -9.9327649310349964715420174620981 absolute error = 5.9e-30 relative error = 5.9399372087880656154542874307329e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.651 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 = 45.74 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = -9.911158854425631357728491014579 y[1] (numeric) = -9.9111588544256313577284910145729 absolute error = 6.1e-30 relative error = 6.1546788721645461455397379549249e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.662 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 = 45.77 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (analytic) = -9.889538756343513442317641214359 y[1] (numeric) = -9.8895387563435134423176412143528 absolute error = 6.2e-30 relative error = 6.2692509254014422544685048466519e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.673 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 = 45.81 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = -9.867904639488457033114499350304 y[1] (numeric) = -9.8679046394884570331144993502977 absolute error = 6.3e-30 relative error = 6.3843340913421981753842156060150e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.684 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 = 45.85 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = -9.846256506547595907003047368411 y[1] (numeric) = -9.8462565065475959070030473684051 absolute error = 5.9e-30 relative error = 5.9921250234305785881502685132237e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.696 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 = 45.89 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = -9.824594360195437559094789260715 y[1] (numeric) = -9.8245943601954375590947892607084 absolute error = 6.6e-30 relative error = 6.7178346077473149539641007326555e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.707 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 = 45.93 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (analytic) = -9.802918203093917128951166270454 y[1] (numeric) = -9.8029182030939171289511662704485 absolute error = 5.5e-30 relative error = 5.6105742045915825723367290256012e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.718 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 = 45.97 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop bytes used=208060184, alloc=4652204, time=7.07 x[1] = 4 y[1] (analytic) = -9.781228037892451006329342498834 y[1] (numeric) = -9.7812280378924510063293424988281 absolute error = 5.9e-30 relative error = 6.0319624255189797558141527732114e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.729 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 = 46.01 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (analytic) = -9.759523867227990118878290471042 y[1] (numeric) = -9.7595238672279901188782904710357 absolute error = 6.3e-30 relative error = 6.4552329454873262695174151093585e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.74 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 = 46.05 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (analytic) = -9.737805693725072904189754698159 y[1] (numeric) = -9.7378056937250729041897546981536 absolute error = 5.4e-30 relative error = 5.5453971560345430666613351134596e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.752 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 = 46.08 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (analytic) = -9.716073519995877968586562187844 y[1] (numeric) = -9.716073519995877968586562187838 absolute error = 6.0e-30 relative error = 6.1753340870176386768525769675775e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.763 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 = 46.12 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (analytic) = -9.694327348640276435008879184451 y[1] (numeric) = -9.6943273486402764350088791844455 absolute error = 5.5e-30 relative error = 5.6734209627978246657031666232622e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.774 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 = 46.16 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (analytic) = -9.672567182245883982337380175471 y[1] (numeric) = -9.6725671822458839823373801754653 absolute error = 5.7e-30 relative error = 5.8929546754272434513934054520222e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.785 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 = 46.2 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (analytic) = -9.650793023388112578470895444591 y[1] (numeric) = -9.6507930233881125784708954445853 absolute error = 5.7e-30 relative error = 5.9062503839698925366107428053592e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.796 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 = 46.24 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (analytic) = -9.62900487463022190945493428276 y[1] (numeric) = -9.6290048746302219094549342827537 absolute error = 6.3e-30 relative error = 6.5427321743275531377660257586032e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.808 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 = 46.28 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop bytes used=212061248, alloc=4652204, time=7.21 x[1] = 4.08 y[1] (analytic) = -9.607202738523370506936539528177 y[1] (numeric) = -9.6072027385233705069365395281709 absolute error = 6.1e-30 relative error = 6.3494028033154336704166798542564e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.819 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 = 46.32 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (analytic) = -9.585386617606666576200212575337 y[1] (numeric) = -9.5853866176066665762002125753305 absolute error = 6.5e-30 relative error = 6.7811557940298882606620742193854e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.83 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 = 46.35 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (analytic) = -9.563556514407218527019153592543 y[1] (numeric) = -9.5635565144072185270191535925371 absolute error = 5.9e-30 relative error = 6.1692530295730697522899380795964e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.841 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 = 46.39 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (analytic) = -9.541712431440185209535786676128 y[1] (numeric) = -9.541712431440185209535786676122 absolute error = 6.0e-30 relative error = 6.2881794469406218486935885729137e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.853 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 = 46.43 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.12 y[1] (analytic) = -9.519854371208825857365481345447 y[1] (numeric) = -9.5198543712088258573654813454415 absolute error = 5.5e-30 relative error = 5.7773993020668582281407626785961e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.864 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 = 46.47 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (analytic) = -9.49798233620454974009753748091 y[1] (numeric) = -9.4979823362045497400975374809047 absolute error = 5.3e-30 relative error = 5.5801325085617200020937036549559e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.875 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 = 46.51 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (analytic) = -9.476096328906965527347867900021 y[1] (numeric) = -9.4760963289069655273478679000151 absolute error = 5.9e-30 relative error = 6.2261925113635313844776936247330e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.886 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 = 46.54 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (analytic) = -9.454196351783930366498388662489 y[1] (numeric) = -9.4541963517839303664983886624827 absolute error = 6.3e-30 relative error = 6.6637075914033041712984741238624e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.897 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 = 46.58 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop bytes used=216062148, alloc=4652204, time=7.34 x[1] = 4.16 y[1] (analytic) = -9.432282407291598676238909339546 y[1] (numeric) = -9.4322824072915986762389093395398 absolute error = 6.2e-30 relative error = 6.5731704504596977550985276317131e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.909 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 = 46.62 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (analytic) = -9.410354497874470658008301354712 y[1] (numeric) = -9.4103544978744706580083013547056 absolute error = 6.4e-30 relative error = 6.8010190279713442781987600283434e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.92 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 = 46.66 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (analytic) = -9.388412625965440527412909618238 y[1] (numeric) = -9.3884126259654405274129096182321 absolute error = 5.9e-30 relative error = 6.2843424496303325942691569016173e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.931 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 = 46.7 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (analytic) = -9.366456793985844467681558584452 y[1] (numeric) = -9.3664567939858444676815585844458 absolute error = 6.2e-30 relative error = 6.6193653975759428075586294182692e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.942 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 = 46.74 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (analytic) = -9.344487004345508307198086143055 y[1] (numeric) = -9.3444870043455083071980861430491 absolute error = 5.9e-30 relative error = 6.3138832525063139234454434464438e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.953 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 = 46.77 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.21 y[1] (analytic) = -9.322503259442794923134115028255 y[1] (numeric) = -9.3225032594427949231341150282491 absolute error = 5.9e-30 relative error = 6.3287722576271240727115392862917e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.965 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) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (analytic) = -9.300505561664651373186739342182 y[1] (numeric) = -9.3005055616646513731867393421757 absolute error = 6.3e-30 relative error = 6.7738253132901672487688323320434e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.976 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 = 46.85 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (analytic) = -9.278493913386655757407961022466 y[1] (numeric) = -9.2784939133866557574079610224599 absolute error = 6.1e-30 relative error = 6.5743428372563283795949665911494e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.987 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 = 46.89 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop bytes used=220063196, alloc=4652204, time=7.48 x[1] = 4.24 y[1] (analytic) = -9.256468316973063812095055350855 y[1] (numeric) = -9.256468316973063812095055350849 absolute error = 6.0e-30 relative error = 6.4819538019680124105372639563051e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.998 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 = 46.93 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (analytic) = -9.234428774776855237693573644345 y[1] (numeric) = -9.2344287747768552376935736443396 absolute error = 5.4e-30 relative error = 5.8476816830833025228693982487095e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.009 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 = 46.96 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (analytic) = -9.212375289139779762647402867305 y[1] (numeric) = -9.2123752891397797626474028672994 absolute error = 5.6e-30 relative error = 6.0787797112452514215822336564263e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.021 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 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (analytic) = -9.190307862392402945113193857507 y[1] (numeric) = -9.1903078623924029451131938575014 absolute error = 5.6e-30 relative error = 6.0933758518751285516013525539265e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.032 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 = 47.04 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (analytic) = -9.168226496854151714439540005833 y[1] (numeric) = -9.1682264968541517144395400058274 absolute error = 5.6e-30 relative error = 6.1080515429254505737207682535233e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.043 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 = 47.08 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (analytic) = -9.146131194833359654294534432928 y[1] (numeric) = -9.146131194833359654294534432922 absolute error = 6.0e-30 relative error = 6.5601508137007634296760255972416e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.054 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 = 47.11 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (analytic) = -9.124021958627312029308753859547 y[1] (numeric) = -9.1240219586273120293087538595411 absolute error = 5.9e-30 relative error = 6.4664465153124657039610795346026e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.066 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 = 47.15 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (analytic) = -9.101898790522290557084309392497 y[1] (numeric) = -9.1018987905222905570843093924908 absolute error = 6.2e-30 relative error = 6.8117654817871556679647189640011e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.077 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 = 47.19 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop bytes used=224064204, alloc=4652204, time=7.62 x[1] = 4.32 y[1] (analytic) = -9.079761692793617927404366294736 y[1] (numeric) = -9.0797616927936179274043662947299 absolute error = 6.1e-30 relative error = 6.7182379960934646395487183992140e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.088 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 = 47.23 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (analytic) = -9.05761066770570207046146445389 y[1] (numeric) = -9.057610667705702070461464453884 absolute error = 6.0e-30 relative error = 6.6242635283415238798061070137557e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.099 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 = 47.27 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (analytic) = -9.03544571751208017590706671282 y[1] (numeric) = -9.0354457175120801759070667128141 absolute error = 5.9e-30 relative error = 6.5298383549191100991225523376972e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.11 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 = 47.3 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (analytic) = -9.013266844455462464509021510543 y[1] (numeric) = -9.0132668444554624645090215105366 absolute error = 6.4e-30 relative error = 7.1006440954724188281975933356893e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.122 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 = 47.34 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.36 y[1] (analytic) = -8.991074050767775714188047459682 y[1] (numeric) = -8.9910740507677757141880474596759 absolute error = 6.1e-30 relative error = 6.7845064622497487611652776781605e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.133 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 = 47.38 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (analytic) = -8.968867338670206542188928641742 y[1] (numeric) = -8.968867338670206542188928641736 absolute error = 6.0e-30 relative error = 6.6898079472425403096948519381430e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.144 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 = 47.42 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (analytic) = -8.946646710373244445126848643454 y[1] (numeric) = -8.9466467103732444451268486434483 absolute error = 5.7e-30 relative error = 6.3711021397448275362830845190338e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.155 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 = 47.45 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (analytic) = -8.924412168076724598634186821178 y[1] (numeric) = -8.9244121680767245986341868211719 absolute error = 6.1e-30 relative error = 6.8351840828465390578599749999161e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.166 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 = 47.49 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop bytes used=228065188, alloc=4652204, time=7.76 x[1] = 4.4 y[1] (analytic) = -8.90216371396987041831815012558 y[1] (numeric) = -8.9021637139698704183181501255743 absolute error = 5.7e-30 relative error = 6.4029377386704076778789589864720e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.178 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 = 47.53 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (analytic) = -8.879901350231335883724816229886 y[1] (numeric) = -8.8799013502313358837248162298796 absolute error = 6.4e-30 relative error = 7.2072872744619731422020490467775e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.189 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 = 47.57 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (analytic) = -8.857625079029247626990516890282 y[1] (numeric) = -8.8576250790292476269905168902761 absolute error = 5.9e-30 relative error = 6.6609276723265996876394749579689e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.2 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 = 47.6 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.43 y[1] (analytic) = -8.835334902521246787846992658846 y[1] (numeric) = -8.83533490252124678784699265884 absolute error = 6.0e-30 relative error = 6.7909140583769416305625439421383e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.211 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 = 47.64 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (analytic) = -8.81303082285453063663239952322 y[1] (numeric) = -8.8130308228545306366323995232142 absolute error = 5.8e-30 relative error = 6.5811638658508476792358064398616e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.222 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 = 47.68 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (analytic) = -8.790712842165893966946043042029 y[1] (numeric) = -8.790712842165893966946043042023 absolute error = 6.0e-30 relative error = 6.8253850486619853801320714574879e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.234 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 = 47.72 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (analytic) = -8.768380962581770259570654382106 y[1] (numeric) = -8.7683809625817702595706543821 absolute error = 6.0e-30 relative error = 6.8427683806217224510031312878209e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.245 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 = 47.75 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.47 y[1] (analytic) = -8.746035186218272619272103666969 y[1] (numeric) = -8.7460351862182726192721036669628 absolute error = 6.2e-30 relative error = 7.0889264312242479308988955571082e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.256 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 = 47.79 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop bytes used=232066124, alloc=4652204, time=7.89 x[1] = 4.48 y[1] (analytic) = -8.72367551518123448607266756158 y[1] (numeric) = -8.723675515181234486072667561574 absolute error = 6.0e-30 relative error = 6.8778349097907155622616515678205e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.267 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 = 47.83 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (analytic) = -8.701301951566250122580328414036 y[1] (numeric) = -8.7013019515662501225803284140299 absolute error = 6.1e-30 relative error = 7.0104451425248941551991212797913e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.279 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 = 47.86 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = -8.678914497458714878943079939614 y[1] (numeric) = -8.6789144974587148789430799396086 absolute error = 5.4e-30 relative error = 6.2219762639454295468786844400991e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.29 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 = 47.9 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.51 y[1] (analytic) = -8.656513154933865236983847776902 y[1] (numeric) = -8.6565131549338652369838477768959 absolute error = 6.1e-30 relative error = 7.0467171837233848656916173384722e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.301 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 = 47.94 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (analytic) = -8.63409792605681863505840070063 y[1] (numeric) = -8.6340979260568186350584007006243 absolute error = 5.7e-30 relative error = 6.6017319340309852541377005920046e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.312 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 = 47.98 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (analytic) = -8.611668812882613075165528293054 y[1] (numeric) = -8.6116688128826130751655282930479 absolute error = 6.1e-30 relative error = 7.0834122079505822696140734961645e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.323 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 = 48.01 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (analytic) = -8.589225817456246513825791926996 y[1] (numeric) = -8.5892258174562465138257919269906 absolute error = 5.4e-30 relative error = 6.2869461285152753303440533358734e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.335 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 = 48.05 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (analytic) = -8.566768941812716038232316490927 y[1] (numeric) = -8.5667689418127160382323164909209 absolute error = 6.1e-30 relative error = 7.1205375578966516830049075245343e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.346 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 = 48.09 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop bytes used=236067396, alloc=4652204, time=8.03 x[1] = 4.56 y[1] (analytic) = -8.544298187977056829164378900933 y[1] (numeric) = -8.5442981879770568291643789009274 absolute error = 5.6e-30 relative error = 6.5540783769460798855575151619887e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.357 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 = 48.12 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (analytic) = -8.521813557964380912141964627051 y[1] (numeric) = -8.5218135579643809121419646270449 absolute error = 6.1e-30 relative error = 7.1581007475797401174996125686465e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.368 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 = 48.16 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (analytic) = -8.499315053779915698287003761827 y[1] (numeric) = -8.4993150537799156982870037618214 absolute error = 5.6e-30 relative error = 6.5887662294733996355235973692491e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.379 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 = 48.2 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (analytic) = -8.476802677419042316344662145933 y[1] (numeric) = -8.4768026774190423163446621459271 absolute error = 5.9e-30 relative error = 6.9601714520461042498534273605624e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.391 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 = 48.23 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = -8.454276430867333737305849326105 y[1] (numeric) = -8.4542764308673337373058493260984 absolute error = 6.6e-30 relative error = 7.8067000221364876395193412797702e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.402 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 = 48.27 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (analytic) = -8.431736316100592693060012260162 y[1] (numeric) = -8.4317363161005926930600122601564 absolute error = 5.6e-30 relative error = 6.6415739179446021700563833880988e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.413 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 = 48.31 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (analytic) = -8.409182335084889390495310325596 y[1] (numeric) = -8.4091823350848893904953103255899 absolute error = 6.1e-30 relative error = 7.2539751868020607579945248267554e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.424 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 = 48.35 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (analytic) = -8.386614489776599022451411973336 y[1] (numeric) = -8.3866144897765990224514119733302 absolute error = 5.8e-30 relative error = 6.9157822945960870707824776900912e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.435 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 = 48.38 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop bytes used=240068288, alloc=4652204, time=8.17 x[1] = 4.64 y[1] (analytic) = -8.364032782122439076918414955431 y[1] (numeric) = -8.3640327821224390769184149554254 absolute error = 5.6e-30 relative error = 6.6953348293536410225698499512486e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.447 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 = 48.42 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (analytic) = -8.341437214059506445863769120124 y[1] (numeric) = -8.3414372140595064458637691201179 absolute error = 6.1e-30 relative error = 7.3128884668920599752100592956086e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.458 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 = 48.46 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (analytic) = -8.318827787515314335057572003108 y[1] (numeric) = -8.3188277875153143350575720031024 absolute error = 5.6e-30 relative error = 6.7317176686892568059558133075283e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.469 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 = 48.49 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (analytic) = -8.296204504407828976255211558975 y[1] (numeric) = -8.2962045044078289762552115589686 absolute error = 6.4e-30 relative error = 7.7143710676365766627964203246915e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.48 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 = 48.53 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (analytic) = -8.27356736664550614308504609801 y[1] (numeric) = -8.2735673666455061430850460980048 absolute error = 5.2e-30 relative error = 6.2850760374098759478325018903494e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.492 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 = 48.57 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (analytic) = -8.250916376127327471977637562894 y[1] (numeric) = -8.2509163761273274719776375628878 absolute error = 6.2e-30 relative error = 7.5143168556873059055139289360603e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.503 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 = 48.6 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = -8.22825153474283658946198945559 y[1] (numeric) = -8.2282515347428365894619894555847 absolute error = 5.3e-30 relative error = 6.4412226311037836764246739533538e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.514 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 = 48.64 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (analytic) = -8.205572844372175047143283781113 y[1] (numeric) = -8.2055728443721750471432837811071 absolute error = 5.9e-30 relative error = 7.1902353582133374107897500012609e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.525 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 = 48.68 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (analytic) = -8.182880306886118065665761101242 y[1] (numeric) = -8.1828803068861180656657611012363 absolute error = 5.7e-30 relative error = 6.9657624042273889387230082067863e-29 % Correct digits = 31 h = 0.01 bytes used=244069028, alloc=4652204, time=8.31 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.536 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 = 48.71 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (analytic) = -8.160173924146110088953642992979 y[1] (numeric) = -8.1601739241461100889536429929732 absolute error = 5.8e-30 relative error = 7.1076916422549395825714591629657e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.548 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 = 48.75 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (analytic) = -8.137453698004300150012355703407 y[1] (numeric) = -8.1374536980043001500123557034007 absolute error = 6.3e-30 relative error = 7.7419795353736596249208305301305e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.559 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 = 48.79 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (analytic) = -8.11471963030357704956177641994 y[1] (numeric) = -8.1147196303035770495617764199346 absolute error = 5.4e-30 relative error = 6.6545737203713868970576276805878e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.57 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 = 48.82 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (analytic) = -8.091971722877604348762788182366 y[1] (numeric) = -8.0919717228776043487627881823604 absolute error = 5.6e-30 relative error = 6.9204394080712028815623358230384e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.581 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 = 48.86 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (analytic) = -8.06920997755085517728809491489 y[1] (numeric) = -8.0692099775508551772880949148841 absolute error = 5.9e-30 relative error = 7.3117442927055320822712156281067e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.592 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 = 48.89 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (analytic) = -8.046434396138646857978013231254 y[1] (numeric) = -8.0464343961386468579780132312479 absolute error = 6.1e-30 relative error = 7.5809976191781180713378620614771e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.604 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 = 48.93 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (analytic) = -8.023644980447175349311821456469 y[1] (numeric) = -8.0236449804471753493118214564625 absolute error = 6.5e-30 relative error = 8.1010563351691823363209144292600e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.615 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 = 48.97 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = -8.000841732273549506915207621472 y[1] (numeric) = -8.0008417322735495069152076214661 absolute error = 5.9e-30 relative error = 7.3742241096968101644371087107145e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.626 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 = 49 Order of pole (six term test) = -2.482 bytes used=248072684, alloc=4652204, time=8.45 TOP MAIN SOLVE Loop x[1] = 4.81 y[1] (analytic) = -7.978024653405825165314415942346 y[1] (numeric) = -7.9780246534058251653144159423405 absolute error = 5.5e-30 relative error = 6.8939370820971900102739285924719e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.637 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 = 49.04 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (analytic) = -7.955193745623039041137844427405 y[1] (numeric) = -7.9551937456230390411378444273996 absolute error = 5.4e-30 relative error = 6.7880182088224929390389103310044e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.648 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 = 49.08 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (analytic) = -7.932349010695242458956093710668 y[1] (numeric) = -7.9323490106952424589560937106621 absolute error = 5.9e-30 relative error = 7.4378976417262883083988868509714e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.66 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 = 49.11 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (analytic) = -7.909490450383534900941807949211 y[1] (numeric) = -7.9094904503835349009418079492049 absolute error = 6.1e-30 relative error = 7.7122540804183007004235921270276e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.671 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 = 49.15 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (analytic) = -7.886618066440097381521081617922 y[1] (numeric) = -7.8866180664400973815210816179165 absolute error = 5.5e-30 relative error = 6.9738384104133732468268778853112e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.682 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 = 49.19 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (analytic) = -7.863731860608225648178730274245 y[1] (numeric) = -7.8637318606082256481787302742392 absolute error = 5.8e-30 relative error = 7.3756329727542300576889384392705e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.693 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 = 49.22 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (analytic) = -7.840831834622363209570337846248 y[1] (numeric) = -7.8408318346223632095703378462422 absolute error = 5.8e-30 relative error = 7.3971743334543081899338248481015e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.704 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 = 49.26 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (analytic) = -7.817917990208134192084696730848 y[1] (numeric) = -7.8179179902081341920846967308424 absolute error = 5.6e-30 relative error = 7.1630324173442919468306616991165e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.716 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 = 49.29 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop bytes used=252073860, alloc=4652204, time=8.59 x[1] = 4.89 y[1] (analytic) = -7.794990329082376025991048998504 y[1] (numeric) = -7.7949903290823760259910489984984 absolute error = 5.6e-30 relative error = 7.1841012799040000305104034359715e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.727 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 = 49.33 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (analytic) = -7.772048852953171962296416321637 y[1] (numeric) = -7.7720488529531719622964163216314 absolute error = 5.6e-30 relative error = 7.2053072567501282019907293146601e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.738 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 = 49.37 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (analytic) = -7.749093563519883421429271923696 y[1] (numeric) = -7.7490935635198834214292719236901 absolute error = 5.9e-30 relative error = 7.6137937316632854888044855109159e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.749 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 = 49.4 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (analytic) = -7.726124462473182174856858943236 y[1] (numeric) = -7.7261244624731821748568589432304 absolute error = 5.6e-30 relative error = 7.2481358890863686032532955035631e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.761 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 = 49.44 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (analytic) = -7.703141551495082360734595193296 y[1] (numeric) = -7.7031415514950823607345951932904 absolute error = 5.6e-30 relative error = 7.2697612559295509998135697275929e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.772 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 = 49.47 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (analytic) = -7.680144832258972334677223452798 y[1] (numeric) = -7.6801448322589723346772234527926 absolute error = 5.4e-30 relative error = 7.0311174046071863336364770518209e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.783 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 = 49.51 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (analytic) = -7.65713430642964635673266824707 y[1] (numeric) = -7.6571343064296463567326682470648 absolute error = 5.2e-30 relative error = 6.7910523596714158372875726335768e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.794 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 = 49.55 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.96 y[1] (analytic) = -7.634109975663336115630943663337 y[1] (numeric) = -7.6341099756633361156309436633318 absolute error = 5.2e-30 relative error = 6.8115340446718759072264251921323e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.805 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 = 49.58 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop bytes used=256074636, alloc=4652204, time=8.73 x[1] = 4.97 y[1] (analytic) = -7.611071841607742091371921219651 y[1] (numeric) = -7.6110718416077420913719212196453 absolute error = 5.7e-30 relative error = 7.4890897348249803416992184373010e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.817 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 = 49.62 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (analytic) = -7.588019905902064757207311288482 y[1] (numeric) = -7.5880199059020647572073112884759 absolute error = 6.1e-30 relative error = 8.0389878725217066172919042717118e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.828 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 = 49.65 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (analytic) = -7.564954170177035622063835206036 y[1] (numeric) = -7.5649541701770356220638352060309 absolute error = 5.1e-30 relative error = 6.7416138753430801278554811172665e-29 % Correct digits = 31 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.839 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 = 49.69 Order of pole (six term test) = -2.481 Finished! diff ( y , x , 1 ) = exp(sqrt(0.1 * x + 0.2)); Iterations = 500 Total Elapsed Time = 8 Seconds Elapsed Time(since restart) = 8 Seconds Time to Timeout = 2 Minutes 51 Seconds Percent Done = 100.2 % > quit bytes used=257522792, alloc=4652204, time=8.77