|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_x2[1]) < min_size) then # if number 1 > min_size := omniabs(array_x2[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (omniabs(array_x1[1]) < min_size) then # if number 1 > min_size := omniabs(array_x1[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_x2[1]) < min_size then min_size := omniabs(array_x2[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if omniabs(array_x1[1]) < min_size then min_size := omniabs(array_x1[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_x2[no_terms-3] + array_x2[no_terms - 2] * hn_div_ho + array_x2[no_terms - 1] * hn_div_ho_2 + array_x2[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > value3 := omniabs(array_x1[no_terms-3] + array_x1[no_terms - 2] * hn_div_ho + array_x1[no_terms - 1] * hn_div_ho_2 + array_x1[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_x2[no_terms - 3] + array_x2[no_terms - 2]*hn_div_ho + array_x2[no_terms - 1]*hn_div_ho_2 + array_x2[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; value3 := omniabs(array_x1[no_terms - 3] + array_x1[no_terms - 2]*hn_div_ho + array_x1[no_terms - 1]*hn_div_ho_2 + array_x1[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_t[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_t[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_t[1]; > omniout_float(ALWAYS,"t[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_x2(ind_var); > omniout_float(ALWAYS,"x2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_x2[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"x2[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > ; > analytic_val_y := exact_soln_x1(ind_var); > omniout_float(ALWAYS,"x1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_x1[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"x1[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[2] := relerr; > else > array_last_rel_error[2] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_t[1]; omniout_float(ALWAYS, "t[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_x2(ind_var); omniout_float(ALWAYS, "x2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_x2[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "x2[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " "); analytic_val_y := exact_soln_x1(ind_var); omniout_float(ALWAYS, "x1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_x1[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "x1[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[2] := relerr else array_last_rel_error[2] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_x2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_x2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (omniabs(array_x1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_x1_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_t[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_x2_higher[1, 1]) then tmp := omniabs(array_x2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < omniabs(array_x1_higher[1, 1]) then tmp := omniabs(array_x1_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_t[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(t_start,t_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(t_end),convfloat(t_start),convfloat(array_t[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(t_end),convfloat(t_start),convfloat(array_t[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(t_end),convfloat(t_start),convfloat(array_t[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(t_start, t_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(t_end), convfloat(t_start), convfloat(array_t[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(t_end), convfloat(t_start), convfloat(array_t[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(t_end), convfloat(t_start), convfloat(array_t[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 2 - 1; > while ((m >= 10) and ((omniabs(array_x2_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_x2_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_x2_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_x2_higher[1,m]/array_x2_higher[1,m-1]; > rm1 := array_x2_higher[1,m-1]/array_x2_higher[1,m-2]; > hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #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_x1_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_x1_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_x1_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_x1_higher[1,m]/array_x1_higher[1,m-1]; > rm1 := array_x1_higher[1,m-1]/array_x1_higher[1,m-2]; > hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_pole[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 2 > #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 - 2 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_x2_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 1 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_x2_higher[1,m]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_x2_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_x2_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_x2_higher[1,m]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_x2_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_x2_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_x2_higher[1,m])/(array_x2_higher[1,m-1]); > rm1 := (array_x2_higher[1,m-1])/(array_x2_higher[1,m-2]); > rm2 := (array_x2_higher[1,m-2])/(array_x2_higher[1,m-3]); > rm3 := (array_x2_higher[1,m-3])/(array_x2_higher[1,m-4]); > rm4 := (array_x2_higher[1,m-4])/(array_x2_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2; > #BOTTOM RADII COMPLEX EQ = 1 > #TOP RADII COMPLEX EQ = 2 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_x1_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_x1_higher[1,m]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_x1_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_x1_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_x1_higher[1,m]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_x1_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_x1_higher[1,m-5]) <= (glob_small_float)))) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_x1_higher[1,m])/(array_x1_higher[1,m-1]); > rm1 := (array_x1_higher[1,m-1])/(array_x1_higher[1,m-2]); > rm2 := (array_x1_higher[1,m-2])/(array_x1_higher[1,m-3]); > rm3 := (array_x1_higher[1,m-3])/(array_x1_higher[1,m-4]); > rm4 := (array_x1_higher[1,m-4])/(array_x1_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 4 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3; > #BOTTOM RADII COMPLEX EQ = 2 > found_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 3 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 3 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found_sing := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing ) then # if number 3 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 4; > fi;# end if 3; > #BOTTOM WHICH RADII EQ = 1 > #TOP WHICH RADII EQ = 2 > if (2 <> found_sing and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0)))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float)))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found_sing := 2; > array_type_pole[2] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 2"); > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found_sing := 2; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing ) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 2"); > fi;# end if 4; > fi;# end if 3; > #BOTTOM WHICH RADII EQ = 2 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if (array_pole[1] > array_poles[2,1]) then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3; > #BOTTOM WHICH RADIUS EQ = 2 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 3 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_x2[term] := array_x2[term]* ratio; > array_x2_higher[1,term] := array_x2_higher[1,term]* ratio; > array_t[term] := array_t[term]* ratio; > array_x1[term] := array_x1[term]* ratio; > array_x1_higher[1,term] := array_x1_higher[1,term]* ratio; > array_t[term] := array_t[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 3; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 3 > display_pole(); > fi;# end if 3 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 3; while 10 <= m and ( omniabs(array_x2_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_x2_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_x2_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1]; rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2]; hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_x1_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_x1_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_x1_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1]; rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2]; hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_pole[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 3; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_x2_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_x2_higher[1, m]) or glob_large_float <= omniabs(array_x2_higher[1, m - 1]) or glob_large_float <= omniabs(array_x2_higher[1, m - 2]) or glob_large_float <= omniabs(array_x2_higher[1, m - 3]) or glob_large_float <= omniabs(array_x2_higher[1, m - 4]) or glob_large_float <= omniabs(array_x2_higher[1, m - 5]) or omniabs(array_x2_higher[1, m]) <= glob_small_float or omniabs(array_x2_higher[1, m - 1]) <= glob_small_float or omniabs(array_x2_higher[1, m - 2]) <= glob_small_float or omniabs(array_x2_higher[1, m - 3]) <= glob_small_float or omniabs(array_x2_higher[1, m - 4]) <= glob_small_float or omniabs(array_x2_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_x2_higher[1, m]/array_x2_higher[1, m - 1]; rm1 := array_x2_higher[1, m - 1]/array_x2_higher[1, m - 2]; rm2 := array_x2_higher[1, m - 2]/array_x2_higher[1, m - 3]; rm3 := array_x2_higher[1, m - 3]/array_x2_higher[1, m - 4]; rm4 := array_x2_higher[1, m - 4]/array_x2_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_x1_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_x1_higher[1, m]) or glob_large_float <= omniabs(array_x1_higher[1, m - 1]) or glob_large_float <= omniabs(array_x1_higher[1, m - 2]) or glob_large_float <= omniabs(array_x1_higher[1, m - 3]) or glob_large_float <= omniabs(array_x1_higher[1, m - 4]) or glob_large_float <= omniabs(array_x1_higher[1, m - 5]) or omniabs(array_x1_higher[1, m]) <= glob_small_float or omniabs(array_x1_higher[1, m - 1]) <= glob_small_float or omniabs(array_x1_higher[1, m - 2]) <= glob_small_float or omniabs(array_x1_higher[1, m - 3]) <= glob_small_float or omniabs(array_x1_higher[1, m - 4]) <= glob_small_float or omniabs(array_x1_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_x1_higher[1, m]/array_x1_higher[1, m - 1]; rm1 := array_x1_higher[1, m - 1]/array_x1_higher[1, m - 2]; rm2 := array_x1_higher[1, m - 2]/array_x1_higher[1, m - 3]; rm3 := array_x1_higher[1, m - 3]/array_x1_higher[1, m - 4]; rm4 := array_x1_higher[1, m - 4]/array_x1_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[2, 1] := rad_c; array_complex_pole[2, 2] := ord_no end if; found_sing := 0; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found_sing := 2; array_type_pole[2] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 2") end if end if end if; if 2 <> found_sing and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and -1.0*glob_smallish_float < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found_sing := 2; array_type_pole[2] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 2") end if end if end if; if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found_sing := 2; array_type_pole[2] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 2") end if end if; if 2 <> found_sing and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and -1.0*glob_smallish_float < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found_sing := 2; array_type_pole[2] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 2") end if end if end if; if 2 <> found_sing and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found_sing := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 2") end if end if end if; if 2 <> found_sing then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 2") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 2] end if; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_x2[term] := array_x2[term]*ratio; array_x2_higher[1, term] := array_x2_higher[1, term]*ratio; array_t[term] := array_t[term]*ratio; array_x1[term] := array_x1[term]*ratio; array_x1_higher[1, term] := array_x1_higher[1, term]*ratio; array_t[term] := array_t[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 3 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_x2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := omniabs(array_x2[iii]); > fi;# end if 4; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_x1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := omniabs(array_x1[iii]); > fi;# end if 4; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 3; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_x2[iii]) then array_norms[iii] := omniabs(array_x2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_x1[iii]) then array_norms[iii] := omniabs(array_x1[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre diff $eq_no = 1 i = 1 order_d = 1 > array_tmp1[1] := array_x2_higher[2,1]; > #emit pre mult CONST FULL $eq_no = 1 i = 1 > array_tmp2[1] := array_const_3D0[1] * array_tmp1[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; > #emit pre mult CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_2D0[1] * array_x2[1]; > #emit pre sub FULL FULL $eq_no = 1 i = 1 > array_tmp5[1] := array_tmp3[1] - array_tmp4[1]; > #emit pre diff $eq_no = 1 i = 1 order_d = 2 > array_tmp6[1] := array_x1_higher[3,1]; > #emit pre sub FULL FULL $eq_no = 1 i = 1 > array_tmp7[1] := array_tmp5[1] - array_tmp6[1]; > #emit pre diff $eq_no = 1 i = 1 order_d = 1 > array_tmp8[1] := array_x1_higher[2,1]; > #emit pre sub FULL FULL $eq_no = 1 i = 1 > array_tmp9[1] := array_tmp7[1] - array_tmp8[1]; > #emit pre add FULL FULL $eq_no = 1 i = 1 > array_tmp10[1] := array_tmp9[1] + array_x1[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_x2_set_initial[1,3]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp10[1] * expt(glob_h , (2)) * factorial_3(0,2); > array_x2[3] := temporary; > array_x2_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_x2_higher[2,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_x2_higher[3,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #emit pre mult CONST FULL $eq_no = 2 i = 1 > array_tmp12[1] := array_const_4D0[1] * array_x2[1]; > #emit pre diff $eq_no = 2 i = 1 order_d = 1 > array_tmp13[1] := array_x2_higher[2,1]; > #emit pre mult CONST FULL $eq_no = 2 i = 1 > array_tmp14[1] := array_const_2D0[1] * array_tmp13[1]; > #emit pre sub FULL FULL $eq_no = 2 i = 1 > array_tmp15[1] := array_tmp12[1] - array_tmp14[1]; > #emit pre mult CONST FULL $eq_no = 2 i = 1 > array_tmp16[1] := array_const_2D0[1] * array_x1[1]; > #emit pre sub FULL FULL $eq_no = 2 i = 1 > array_tmp17[1] := array_tmp15[1] - array_tmp16[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if ( not array_x1_set_initial[2,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp17[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_x1[2] := temporary; > array_x1_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_x1_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre diff $eq_no = 1 i = 2 order_d = 1 > array_tmp1[2] := array_x2_higher[2,2]; > #emit pre mult CONST FULL $eq_no = 1 i = 2 > array_tmp2[2] := array_const_3D0[1] * array_tmp1[2]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp2[2]; > #emit pre mult CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_const_2D0[1] * array_x2[2]; > #emit pre sub FULL FULL $eq_no = 1 i = 2 > array_tmp5[2] := array_tmp3[2] - array_tmp4[2]; > #emit pre diff $eq_no = 1 i = 2 order_d = 2 > array_tmp6[2] := array_x1_higher[3,2]; > #emit pre sub FULL FULL $eq_no = 1 i = 2 > array_tmp7[2] := array_tmp5[2] - array_tmp6[2]; > #emit pre diff $eq_no = 1 i = 2 order_d = 1 > array_tmp8[2] := array_x1_higher[2,2]; > #emit pre sub FULL FULL $eq_no = 1 i = 2 > array_tmp9[2] := array_tmp7[2] - array_tmp8[2]; > #emit pre add FULL FULL $eq_no = 1 i = 2 > array_tmp10[2] := array_tmp9[2] + array_x1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_x2_set_initial[1,4]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp10[2] * expt(glob_h , (2)) * factorial_3(1,3); > array_x2[4] := temporary; > array_x2_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_x2_higher[2,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_x2_higher[3,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #emit pre mult CONST FULL $eq_no = 2 i = 2 > array_tmp12[2] := array_const_4D0[1] * array_x2[2]; > #emit pre diff $eq_no = 2 i = 2 order_d = 1 > array_tmp13[2] := array_x2_higher[2,2]; > #emit pre mult CONST FULL $eq_no = 2 i = 2 > array_tmp14[2] := array_const_2D0[1] * array_tmp13[2]; > #emit pre sub FULL FULL $eq_no = 2 i = 2 > array_tmp15[2] := array_tmp12[2] - array_tmp14[2]; > #emit pre mult CONST FULL $eq_no = 2 i = 2 > array_tmp16[2] := array_const_2D0[1] * array_x1[2]; > #emit pre sub FULL FULL $eq_no = 2 i = 2 > array_tmp17[2] := array_tmp15[2] - array_tmp16[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if ( not array_x1_set_initial[2,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp17[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_x1[3] := temporary; > array_x1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_x1_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre diff $eq_no = 1 i = 3 order_d = 1 > array_tmp1[3] := array_x2_higher[2,3]; > #emit pre mult CONST FULL $eq_no = 1 i = 3 > array_tmp2[3] := array_const_3D0[1] * array_tmp1[3]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp2[3]; > #emit pre mult CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_const_2D0[1] * array_x2[3]; > #emit pre sub FULL FULL $eq_no = 1 i = 3 > array_tmp5[3] := array_tmp3[3] - array_tmp4[3]; > #emit pre diff $eq_no = 1 i = 3 order_d = 2 > array_tmp6[3] := array_x1_higher[3,3]; > #emit pre sub FULL FULL $eq_no = 1 i = 3 > array_tmp7[3] := array_tmp5[3] - array_tmp6[3]; > #emit pre diff $eq_no = 1 i = 3 order_d = 1 > array_tmp8[3] := array_x1_higher[2,3]; > #emit pre sub FULL FULL $eq_no = 1 i = 3 > array_tmp9[3] := array_tmp7[3] - array_tmp8[3]; > #emit pre add FULL FULL $eq_no = 1 i = 3 > array_tmp10[3] := array_tmp9[3] + array_x1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_x2_set_initial[1,5]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp10[3] * expt(glob_h , (2)) * factorial_3(2,4); > array_x2[5] := temporary; > array_x2_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_x2_higher[2,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_x2_higher[3,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #emit pre mult CONST FULL $eq_no = 2 i = 3 > array_tmp12[3] := array_const_4D0[1] * array_x2[3]; > #emit pre diff $eq_no = 2 i = 3 order_d = 1 > array_tmp13[3] := array_x2_higher[2,3]; > #emit pre mult CONST FULL $eq_no = 2 i = 3 > array_tmp14[3] := array_const_2D0[1] * array_tmp13[3]; > #emit pre sub FULL FULL $eq_no = 2 i = 3 > array_tmp15[3] := array_tmp12[3] - array_tmp14[3]; > #emit pre mult CONST FULL $eq_no = 2 i = 3 > array_tmp16[3] := array_const_2D0[1] * array_x1[3]; > #emit pre sub FULL FULL $eq_no = 2 i = 3 > array_tmp17[3] := array_tmp15[3] - array_tmp16[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if ( not array_x1_set_initial[2,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp17[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_x1[4] := temporary; > array_x1_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_x1_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre diff $eq_no = 1 i = 4 order_d = 1 > array_tmp1[4] := array_x2_higher[2,4]; > #emit pre mult CONST FULL $eq_no = 1 i = 4 > array_tmp2[4] := array_const_3D0[1] * array_tmp1[4]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp2[4]; > #emit pre mult CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_const_2D0[1] * array_x2[4]; > #emit pre sub FULL FULL $eq_no = 1 i = 4 > array_tmp5[4] := array_tmp3[4] - array_tmp4[4]; > #emit pre diff $eq_no = 1 i = 4 order_d = 2 > array_tmp6[4] := array_x1_higher[3,4]; > #emit pre sub FULL FULL $eq_no = 1 i = 4 > array_tmp7[4] := array_tmp5[4] - array_tmp6[4]; > #emit pre diff $eq_no = 1 i = 4 order_d = 1 > array_tmp8[4] := array_x1_higher[2,4]; > #emit pre sub FULL FULL $eq_no = 1 i = 4 > array_tmp9[4] := array_tmp7[4] - array_tmp8[4]; > #emit pre add FULL FULL $eq_no = 1 i = 4 > array_tmp10[4] := array_tmp9[4] + array_x1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_x2_set_initial[1,6]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp10[4] * expt(glob_h , (2)) * factorial_3(3,5); > array_x2[6] := temporary; > array_x2_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_x2_higher[2,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_x2_higher[3,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #emit pre mult CONST FULL $eq_no = 2 i = 4 > array_tmp12[4] := array_const_4D0[1] * array_x2[4]; > #emit pre diff $eq_no = 2 i = 4 order_d = 1 > array_tmp13[4] := array_x2_higher[2,4]; > #emit pre mult CONST FULL $eq_no = 2 i = 4 > array_tmp14[4] := array_const_2D0[1] * array_tmp13[4]; > #emit pre sub FULL FULL $eq_no = 2 i = 4 > array_tmp15[4] := array_tmp12[4] - array_tmp14[4]; > #emit pre mult CONST FULL $eq_no = 2 i = 4 > array_tmp16[4] := array_const_2D0[1] * array_x1[4]; > #emit pre sub FULL FULL $eq_no = 2 i = 4 > array_tmp17[4] := array_tmp15[4] - array_tmp16[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if ( not array_x1_set_initial[2,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp17[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_x1[5] := temporary; > array_x1_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_x1_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre diff $eq_no = 1 i = 5 order_d = 1 > array_tmp1[5] := array_x2_higher[2,5]; > #emit pre mult CONST FULL $eq_no = 1 i = 5 > array_tmp2[5] := array_const_3D0[1] * array_tmp1[5]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp2[5]; > #emit pre mult CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_const_2D0[1] * array_x2[5]; > #emit pre sub FULL FULL $eq_no = 1 i = 5 > array_tmp5[5] := array_tmp3[5] - array_tmp4[5]; > #emit pre diff $eq_no = 1 i = 5 order_d = 2 > array_tmp6[5] := array_x1_higher[3,5]; > #emit pre sub FULL FULL $eq_no = 1 i = 5 > array_tmp7[5] := array_tmp5[5] - array_tmp6[5]; > #emit pre diff $eq_no = 1 i = 5 order_d = 1 > array_tmp8[5] := array_x1_higher[2,5]; > #emit pre sub FULL FULL $eq_no = 1 i = 5 > array_tmp9[5] := array_tmp7[5] - array_tmp8[5]; > #emit pre add FULL FULL $eq_no = 1 i = 5 > array_tmp10[5] := array_tmp9[5] + array_x1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_x2_set_initial[1,7]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp10[5] * expt(glob_h , (2)) * factorial_3(4,6); > array_x2[7] := temporary; > array_x2_higher[1,7] := temporary; > temporary := temporary / glob_h * (6.0); > array_x2_higher[2,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_x2_higher[3,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #emit pre mult CONST FULL $eq_no = 2 i = 5 > array_tmp12[5] := array_const_4D0[1] * array_x2[5]; > #emit pre diff $eq_no = 2 i = 5 order_d = 1 > array_tmp13[5] := array_x2_higher[2,5]; > #emit pre mult CONST FULL $eq_no = 2 i = 5 > array_tmp14[5] := array_const_2D0[1] * array_tmp13[5]; > #emit pre sub FULL FULL $eq_no = 2 i = 5 > array_tmp15[5] := array_tmp12[5] - array_tmp14[5]; > #emit pre mult CONST FULL $eq_no = 2 i = 5 > array_tmp16[5] := array_const_2D0[1] * array_x1[5]; > #emit pre sub FULL FULL $eq_no = 2 i = 5 > array_tmp17[5] := array_tmp15[5] - array_tmp16[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if ( not array_x1_set_initial[2,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp17[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_x1[6] := temporary; > array_x1_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_x1_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 diff $eq_no = 1 > array_tmp1[kkk] := array_x2_higher[2,kkk]; > #emit mult CONST FULL $eq_no = 1 i = 1 > array_tmp2[kkk] := array_const_3D0[1] * array_tmp1[kkk]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp3[kkk] := array_tmp2[kkk]; > #emit mult CONST FULL $eq_no = 1 i = 1 > array_tmp4[kkk] := array_const_2D0[1] * array_x2[kkk]; > #emit FULL - FULL sub $eq_no = 1 > array_tmp5[kkk] := array_tmp3[kkk] - array_tmp4[kkk]; > #emit diff $eq_no = 1 > array_tmp6[kkk] := array_x1_higher[3,kkk]; > #emit FULL - FULL sub $eq_no = 1 > array_tmp7[kkk] := array_tmp5[kkk] - array_tmp6[kkk]; > #emit diff $eq_no = 1 > array_tmp8[kkk] := array_x1_higher[2,kkk]; > #emit FULL - FULL sub $eq_no = 1 > array_tmp9[kkk] := array_tmp7[kkk] - array_tmp8[kkk]; > #emit FULL - FULL add $eq_no = 1 > array_tmp10[kkk] := array_tmp9[kkk] + array_x1[kkk]; > #emit assign $eq_no = 1 > order_d := 2; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_x2_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp10[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_x2[kkk + order_d] := temporary; > array_x2_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_x2_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > #emit mult CONST FULL $eq_no = 2 i = 1 > array_tmp12[kkk] := array_const_4D0[1] * array_x2[kkk]; > #emit diff $eq_no = 2 > array_tmp13[kkk] := array_x2_higher[2,kkk]; > #emit mult CONST FULL $eq_no = 2 i = 1 > array_tmp14[kkk] := array_const_2D0[1] * array_tmp13[kkk]; > #emit FULL - FULL sub $eq_no = 2 > array_tmp15[kkk] := array_tmp12[kkk] - array_tmp14[kkk]; > #emit mult CONST FULL $eq_no = 2 i = 1 > array_tmp16[kkk] := array_const_2D0[1] * array_x1[kkk]; > #emit FULL - FULL sub $eq_no = 2 > array_tmp17[kkk] := array_tmp15[kkk] - array_tmp16[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_x1_set_initial[2,kkk + order_d]) then # if number 2 > temporary := array_tmp17[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_x1[kkk + order_d] := temporary; > array_x1_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_x1_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_x2_higher[2, 1]; array_tmp2[1] := array_const_3D0[1]*array_tmp1[1]; array_tmp3[1] := array_const_0D0[1] + array_tmp2[1]; array_tmp4[1] := array_const_2D0[1]*array_x2[1]; array_tmp5[1] := array_tmp3[1] - array_tmp4[1]; array_tmp6[1] := array_x1_higher[3, 1]; array_tmp7[1] := array_tmp5[1] - array_tmp6[1]; array_tmp8[1] := array_x1_higher[2, 1]; array_tmp9[1] := array_tmp7[1] - array_tmp8[1]; array_tmp10[1] := array_tmp9[1] + array_x1[1]; if not array_x2_set_initial[1, 3] then if 1 <= glob_max_terms then temporary := array_tmp10[1]*expt(glob_h, 2)*factorial_3(0, 2); array_x2[3] := temporary; array_x2_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_x2_higher[2, 2] := temporary; temporary := temporary*1.0/glob_h; array_x2_higher[3, 1] := temporary end if end if; kkk := 2; array_tmp12[1] := array_const_4D0[1]*array_x2[1]; array_tmp13[1] := array_x2_higher[2, 1]; array_tmp14[1] := array_const_2D0[1]*array_tmp13[1]; array_tmp15[1] := array_tmp12[1] - array_tmp14[1]; array_tmp16[1] := array_const_2D0[1]*array_x1[1]; array_tmp17[1] := array_tmp15[1] - array_tmp16[1]; if not array_x1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp17[1]*expt(glob_h, 1)*factorial_3(0, 1); array_x1[2] := temporary; array_x1_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_x1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_x2_higher[2, 2]; array_tmp2[2] := array_const_3D0[1]*array_tmp1[2]; array_tmp3[2] := array_tmp2[2]; array_tmp4[2] := array_const_2D0[1]*array_x2[2]; array_tmp5[2] := array_tmp3[2] - array_tmp4[2]; array_tmp6[2] := array_x1_higher[3, 2]; array_tmp7[2] := array_tmp5[2] - array_tmp6[2]; array_tmp8[2] := array_x1_higher[2, 2]; array_tmp9[2] := array_tmp7[2] - array_tmp8[2]; array_tmp10[2] := array_tmp9[2] + array_x1[2]; if not array_x2_set_initial[1, 4] then if 2 <= glob_max_terms then temporary := array_tmp10[2]*expt(glob_h, 2)*factorial_3(1, 3); array_x2[4] := temporary; array_x2_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_x2_higher[2, 3] := temporary; temporary := temporary*2.0/glob_h; array_x2_higher[3, 2] := temporary end if end if; kkk := 3; array_tmp12[2] := array_const_4D0[1]*array_x2[2]; array_tmp13[2] := array_x2_higher[2, 2]; array_tmp14[2] := array_const_2D0[1]*array_tmp13[2]; array_tmp15[2] := array_tmp12[2] - array_tmp14[2]; array_tmp16[2] := array_const_2D0[1]*array_x1[2]; array_tmp17[2] := array_tmp15[2] - array_tmp16[2]; if not array_x1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp17[2]*expt(glob_h, 1)*factorial_3(1, 2); array_x1[3] := temporary; array_x1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_x1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := array_x2_higher[2, 3]; array_tmp2[3] := array_const_3D0[1]*array_tmp1[3]; array_tmp3[3] := array_tmp2[3]; array_tmp4[3] := array_const_2D0[1]*array_x2[3]; array_tmp5[3] := array_tmp3[3] - array_tmp4[3]; array_tmp6[3] := array_x1_higher[3, 3]; array_tmp7[3] := array_tmp5[3] - array_tmp6[3]; array_tmp8[3] := array_x1_higher[2, 3]; array_tmp9[3] := array_tmp7[3] - array_tmp8[3]; array_tmp10[3] := array_tmp9[3] + array_x1[3]; if not array_x2_set_initial[1, 5] then if 3 <= glob_max_terms then temporary := array_tmp10[3]*expt(glob_h, 2)*factorial_3(2, 4); array_x2[5] := temporary; array_x2_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_x2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_x2_higher[3, 3] := temporary end if end if; kkk := 4; array_tmp12[3] := array_const_4D0[1]*array_x2[3]; array_tmp13[3] := array_x2_higher[2, 3]; array_tmp14[3] := array_const_2D0[1]*array_tmp13[3]; array_tmp15[3] := array_tmp12[3] - array_tmp14[3]; array_tmp16[3] := array_const_2D0[1]*array_x1[3]; array_tmp17[3] := array_tmp15[3] - array_tmp16[3]; if not array_x1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp17[3]*expt(glob_h, 1)*factorial_3(2, 3); array_x1[4] := temporary; array_x1_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_x1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := array_x2_higher[2, 4]; array_tmp2[4] := array_const_3D0[1]*array_tmp1[4]; array_tmp3[4] := array_tmp2[4]; array_tmp4[4] := array_const_2D0[1]*array_x2[4]; array_tmp5[4] := array_tmp3[4] - array_tmp4[4]; array_tmp6[4] := array_x1_higher[3, 4]; array_tmp7[4] := array_tmp5[4] - array_tmp6[4]; array_tmp8[4] := array_x1_higher[2, 4]; array_tmp9[4] := array_tmp7[4] - array_tmp8[4]; array_tmp10[4] := array_tmp9[4] + array_x1[4]; if not array_x2_set_initial[1, 6] then if 4 <= glob_max_terms then temporary := array_tmp10[4]*expt(glob_h, 2)*factorial_3(3, 5); array_x2[6] := temporary; array_x2_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_x2_higher[2, 5] := temporary; temporary := temporary*4.0/glob_h; array_x2_higher[3, 4] := temporary end if end if; kkk := 5; array_tmp12[4] := array_const_4D0[1]*array_x2[4]; array_tmp13[4] := array_x2_higher[2, 4]; array_tmp14[4] := array_const_2D0[1]*array_tmp13[4]; array_tmp15[4] := array_tmp12[4] - array_tmp14[4]; array_tmp16[4] := array_const_2D0[1]*array_x1[4]; array_tmp17[4] := array_tmp15[4] - array_tmp16[4]; if not array_x1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp17[4]*expt(glob_h, 1)*factorial_3(3, 4); array_x1[5] := temporary; array_x1_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_x1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := array_x2_higher[2, 5]; array_tmp2[5] := array_const_3D0[1]*array_tmp1[5]; array_tmp3[5] := array_tmp2[5]; array_tmp4[5] := array_const_2D0[1]*array_x2[5]; array_tmp5[5] := array_tmp3[5] - array_tmp4[5]; array_tmp6[5] := array_x1_higher[3, 5]; array_tmp7[5] := array_tmp5[5] - array_tmp6[5]; array_tmp8[5] := array_x1_higher[2, 5]; array_tmp9[5] := array_tmp7[5] - array_tmp8[5]; array_tmp10[5] := array_tmp9[5] + array_x1[5]; if not array_x2_set_initial[1, 7] then if 5 <= glob_max_terms then temporary := array_tmp10[5]*expt(glob_h, 2)*factorial_3(4, 6); array_x2[7] := temporary; array_x2_higher[1, 7] := temporary; temporary := temporary*6.0/glob_h; array_x2_higher[2, 6] := temporary; temporary := temporary*5.0/glob_h; array_x2_higher[3, 5] := temporary end if end if; kkk := 6; array_tmp12[5] := array_const_4D0[1]*array_x2[5]; array_tmp13[5] := array_x2_higher[2, 5]; array_tmp14[5] := array_const_2D0[1]*array_tmp13[5]; array_tmp15[5] := array_tmp12[5] - array_tmp14[5]; array_tmp16[5] := array_const_2D0[1]*array_x1[5]; array_tmp17[5] := array_tmp15[5] - array_tmp16[5]; if not array_x1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp17[5]*expt(glob_h, 1)*factorial_3(4, 5); array_x1[6] := temporary; array_x1_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_x1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := array_x2_higher[2, kkk]; array_tmp2[kkk] := array_const_3D0[1]*array_tmp1[kkk]; array_tmp3[kkk] := array_tmp2[kkk]; array_tmp4[kkk] := array_const_2D0[1]*array_x2[kkk]; array_tmp5[kkk] := array_tmp3[kkk] - array_tmp4[kkk]; array_tmp6[kkk] := array_x1_higher[3, kkk]; array_tmp7[kkk] := array_tmp5[kkk] - array_tmp6[kkk]; array_tmp8[kkk] := array_x1_higher[2, kkk]; array_tmp9[kkk] := array_tmp7[kkk] - array_tmp8[kkk]; array_tmp10[kkk] := array_tmp9[kkk] + array_x1[kkk]; order_d := 2; if kkk + order_d + 1 <= glob_max_terms then if not array_x2_set_initial[1, kkk + order_d] then temporary := array_tmp10[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_x2[kkk + order_d] := temporary; array_x2_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_x2_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; array_tmp12[kkk] := array_const_4D0[1]*array_x2[kkk]; array_tmp13[kkk] := array_x2_higher[2, kkk]; array_tmp14[kkk] := array_const_2D0[1]*array_tmp13[kkk]; array_tmp15[kkk] := array_tmp12[kkk] - array_tmp14[kkk]; array_tmp16[kkk] := array_const_2D0[1]*array_x1[kkk]; array_tmp17[kkk] := array_tmp15[kkk] - array_tmp16[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_x1_set_initial[2, kkk + order_d] then temporary := array_tmp17[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_x1[kkk + order_d] := temporary; array_x1_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_x1_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 6 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # End Function number 16 > # Begin Function number 17 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 26 > # Begin Function number 27 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 27 > # Begin Function number 28 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_x1 := proc(t) > local c1,c2,c3; > c1 := 1.0; > c2 := 0.0002; > c3 := 0.0003; > return(2.0 * c1 + 6.0 * c3 * exp(-t)); > end; exact_soln_x1 := proc(t) local c1, c2, c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return 2.0*c1 + 6.0*c3*exp(-t) end proc > exact_soln_x1p := proc(t) > local c1,c2,c3; > c1 := 1.0; > c2 := 0.0002; > c3 := 0.0003; > return( - 6.0 * c3 * exp(-t)); > end; exact_soln_x1p := proc(t) local c1, c2, c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return -6.0*c3*exp(-t) end proc > exact_soln_x2 := proc(t) > local c1,c2,c3; > c1 := 1.0; > c2 := 0.0002; > c3 := 0.0003; > return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t)); > end; exact_soln_x2 := proc(t) local c1, c2, c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return c1 + c2*exp(2.0*t) + c3*exp(-t) end proc > exact_soln_x2p := proc(t) > local c1,c2,c3; > c1 := 1.0; > c2 := 0.0002; > c3 := 0.0003; > return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t)); > end; exact_soln_x2p := proc(t) local c1, c2, c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return 2.0*c2*exp(2.0*t) - c3*exp(-t) 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, > t_start,t_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_2, > array_const_0D0, > array_const_3D0, > array_const_1, > array_const_2D0, > array_const_4D0, > #END CONST > array_x2_init, > array_x1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_x2, > array_t, > array_x1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_tmp16, > array_tmp17, > array_m1, > array_x2_higher, > array_x2_higher_work, > array_x2_higher_work2, > array_x2_set_initial, > array_x1_higher, > array_x1_higher_work, > array_x1_higher_work2, > array_x1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_max_h := 0.1; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-200; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_max_minutes := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 2; > 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/mtest6_revpostode.ode#################"); > omniout_str(ALWAYS,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;"); > omniout_str(ALWAYS,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=64;"); > 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,"## problem from Boyce DePrima -"); > omniout_str(ALWAYS,"## _Elementary Differential Equations and Boundary Value Problems_"); > omniout_str(ALWAYS,"## page 269"); > omniout_str(ALWAYS,"##"); > omniout_str(ALWAYS,"t_start := 1.5;"); > omniout_str(ALWAYS,"## did poorly with t_start := 0.5;"); > omniout_str(ALWAYS,"t_end := 5.0;"); > omniout_str(ALWAYS,"array_x1_init[0 + 1] := exact_soln_x1(t_start);"); > omniout_str(ALWAYS,"## I think following line should be omitted"); > omniout_str(ALWAYS,"## diff(x1,1,exact_soln_x1p(t_start));"); > omniout_str(ALWAYS,"array_x2_init[0 + 1] := exact_soln_x2(t_start);"); > omniout_str(ALWAYS,"array_x2_init[1 + 1] := exact_soln_x2p(t_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 100;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_x1 := proc(t)"); > omniout_str(ALWAYS,"local c1,c2,c3;"); > omniout_str(ALWAYS,"c1 := 1.0;"); > omniout_str(ALWAYS,"c2 := 0.0002;"); > omniout_str(ALWAYS,"c3 := 0.0003;"); > omniout_str(ALWAYS,"return(2.0 * c1 + 6.0 * c3 * exp(-t));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_x1p := proc(t)"); > omniout_str(ALWAYS,"local c1,c2,c3;"); > omniout_str(ALWAYS,"c1 := 1.0;"); > omniout_str(ALWAYS,"c2 := 0.0002;"); > omniout_str(ALWAYS,"c3 := 0.0003;"); > omniout_str(ALWAYS,"return( - 6.0 * c3 * exp(-t));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_x2 := proc(t)"); > omniout_str(ALWAYS,"local c1,c2,c3;"); > omniout_str(ALWAYS,"c1 := 1.0;"); > omniout_str(ALWAYS,"c2 := 0.0002;"); > omniout_str(ALWAYS,"c3 := 0.0003;"); > omniout_str(ALWAYS,"return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_x2p := proc(t)"); > omniout_str(ALWAYS,"local c1,c2,c3;"); > omniout_str(ALWAYS,"c1 := 1.0;"); > omniout_str(ALWAYS,"c2 := 0.0002;"); > omniout_str(ALWAYS,"c3 := 0.0003;"); > omniout_str(ALWAYS,"return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=64; > 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_x2_init:= Array(0..(max_terms + 1),[]); > array_x1_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_x2:= Array(0..(max_terms + 1),[]); > array_t:= Array(0..(max_terms + 1),[]); > array_x1:= 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_tmp6:= Array(0..(max_terms + 1),[]); > array_tmp7:= Array(0..(max_terms + 1),[]); > array_tmp8:= Array(0..(max_terms + 1),[]); > array_tmp9:= Array(0..(max_terms + 1),[]); > array_tmp10:= Array(0..(max_terms + 1),[]); > array_tmp11:= Array(0..(max_terms + 1),[]); > array_tmp12:= Array(0..(max_terms + 1),[]); > array_tmp13:= Array(0..(max_terms + 1),[]); > array_tmp14:= Array(0..(max_terms + 1),[]); > array_tmp15:= Array(0..(max_terms + 1),[]); > array_tmp16:= Array(0..(max_terms + 1),[]); > array_tmp17:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_x2_higher := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x2_higher_work := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x2_higher_work2 := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x1_higher := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x1_higher_work := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x1_higher_work2 := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_x1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_complex_pole := 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 2 > array_x2_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x1_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_t[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp10[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp11[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp12[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp13[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp14[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp15[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp16[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp17[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x2_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x2_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x2_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x2_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x1_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x1_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x1_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_x1_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_x2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_t := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_t[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp7 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp9 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp10 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp10[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp11 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp11[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp12 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp12[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp13 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp13[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp14 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp14[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp15 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp15[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp16 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp16[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp17 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp17[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2[1] := 2; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_3D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_3D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_3D0[1] := 3.0; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_const_4D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_4D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_4D0[1] := 4.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > ## problem from Boyce DePrima - > ## _Elementary Differential Equations and Boundary Value Problems_ > ## page 269 > ## > t_start := 1.5; > ## did poorly with t_start := 0.5; > t_end := 5.0; > array_x1_init[0 + 1] := exact_soln_x1(t_start); > ## I think following line should be omitted > ## diff(x1,1,exact_soln_x1p(t_start)); > array_x2_init[0 + 1] := exact_soln_x2(t_start); > array_x2_init[1 + 1] := exact_soln_x2p(t_start); > glob_look_poles := true; > glob_max_iter := 100; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_x2_set_initial[1,1] := true; > array_x2_set_initial[1,2] := true; > array_x2_set_initial[1,3] := false; > array_x2_set_initial[1,4] := false; > array_x2_set_initial[1,5] := false; > array_x2_set_initial[1,6] := false; > array_x2_set_initial[1,7] := false; > array_x2_set_initial[1,8] := false; > array_x2_set_initial[1,9] := false; > array_x2_set_initial[1,10] := false; > array_x2_set_initial[1,11] := false; > array_x2_set_initial[1,12] := false; > array_x2_set_initial[1,13] := false; > array_x2_set_initial[1,14] := false; > array_x2_set_initial[1,15] := false; > array_x2_set_initial[1,16] := false; > array_x2_set_initial[1,17] := false; > array_x2_set_initial[1,18] := false; > array_x2_set_initial[1,19] := false; > array_x2_set_initial[1,20] := false; > array_x2_set_initial[1,21] := false; > array_x2_set_initial[1,22] := false; > array_x2_set_initial[1,23] := false; > array_x2_set_initial[1,24] := false; > array_x2_set_initial[1,25] := false; > array_x2_set_initial[1,26] := false; > array_x2_set_initial[1,27] := false; > array_x2_set_initial[1,28] := false; > array_x2_set_initial[1,29] := false; > array_x2_set_initial[1,30] := false; > array_x1_set_initial[2,1] := true; > array_x1_set_initial[2,2] := false; > array_x1_set_initial[2,3] := false; > array_x1_set_initial[2,4] := false; > array_x1_set_initial[2,5] := false; > array_x1_set_initial[2,6] := false; > array_x1_set_initial[2,7] := false; > array_x1_set_initial[2,8] := false; > array_x1_set_initial[2,9] := false; > array_x1_set_initial[2,10] := false; > array_x1_set_initial[2,11] := false; > array_x1_set_initial[2,12] := false; > array_x1_set_initial[2,13] := false; > array_x1_set_initial[2,14] := false; > array_x1_set_initial[2,15] := false; > array_x1_set_initial[2,16] := false; > array_x1_set_initial[2,17] := false; > array_x1_set_initial[2,18] := false; > array_x1_set_initial[2,19] := false; > array_x1_set_initial[2,20] := false; > array_x1_set_initial[2,21] := false; > array_x1_set_initial[2,22] := false; > array_x1_set_initial[2,23] := false; > array_x1_set_initial[2,24] := false; > array_x1_set_initial[2,25] := false; > array_x1_set_initial[2,26] := false; > array_x1_set_initial[2,27] := false; > array_x1_set_initial[2,28] := false; > array_x1_set_initial[2,29] := false; > array_x1_set_initial[2,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(t_start,t_end); > glob_h := check_sign(t_start,t_end); > if (glob_display_interval < glob_h) then # if number 3 > glob_h := glob_display_interval; > fi;# end if 3; > if (glob_max_h < glob_h) then # if number 3 > glob_h := glob_max_h; > fi;# end if 3; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_t[1] := t_start; > array_t[2] := glob_h; > glob_next_display := t_start; > order_diff := 2; > #Start Series array_x2 > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_x2[term_no] := array_x2_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_x2_higher[r_order,term_no] := array_x2_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > order_diff := 2; > #Start Series array_x1 > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_x1[term_no] := array_x1_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_x1_higher[r_order,term_no] := array_x1_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > if (glob_subiter_method = 1 ) then # if number 3 > atomall(); > elif > (glob_subiter_method = 2 ) then # if number 4 > subiter := 1; > while (subiter <= 3) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 3 + glob_max_terms) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > fi;# end if 4; > est_needed_step_err := estimated_needed_step_error(t_start,t_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 4 > best_h := glob_h; > found_h := 1.0; > fi;# end if 4; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 4 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 4; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 4 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 4; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 4 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_t[1] := t_start; > array_t[2] := glob_h; > glob_next_display := t_start; > order_diff := 2; > #Start Series array_x2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_x2[term_no] := array_x2_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_x2_higher[r_order,term_no] := array_x2_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 > ; > order_diff := 2; > #Start Series array_x1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_x1[term_no] := array_x1_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_x1_higher[r_order,term_no] := array_x1_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_t[1]) < (glob_check_sign * t_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 5 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 5; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if (glob_subiter_method = 1 ) then # if number 5 > atomall(); > elif > (glob_subiter_method = 2 ) then # if number 6 > subiter := 1; > while (subiter <= 3) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 3 + glob_max_terms) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > fi;# end if 6; > 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_t[1] := array_t[1] + glob_h; > array_t[2] := glob_h; > #Jump Series array_x2; > order_diff := 3; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_x2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 3; > calc_term := 1; > #adjust_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[3,iii] := array_x2_higher[3,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 3; > calc_term := 1; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 2; > #adjust_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 2; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[2,iii] := array_x2_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 3; > #adjust_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 3; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_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_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_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_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x2_higher_work[1,iii] := array_x2_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_x2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x2_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_x2[term_no] := array_x2_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_x2_higher[ord,term_no] := array_x2_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > #Jump Series array_x1; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_x1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x1_higher_work[2,iii] := array_x1_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_x1_higher_work[1,iii] := array_x1_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_x1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_x1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_x1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_x1[term_no] := array_x1_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_x1_higher[ord,term_no] := array_x1_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 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 (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;"); > omniout_str(INFO,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(t_start,t_end); > if (glob_html_log) then # if number 6 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T17:15:07-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest6_rev") > ; > logitem_str(html_log_file,"diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;") > ; > logitem_float(html_log_file,t_start) > ; > logitem_float(html_log_file,t_end) > ; > logitem_float(html_log_file,array_t[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 7 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 7; > 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," 165 ") > ; > logitem_str(html_log_file,"mtest6_rev diffeq.mxt") > ; > logitem_str(html_log_file,"mtest6_rev maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if (array_type_pole[2] = 1 or array_type_pole[2] = 2) then # if number 7 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 7; > logditto(html_log_file) > ; > if (glob_percent_done < 100.0) then # if number 7 > logditto(html_log_file) > ; > 0; > else > logditto(html_log_file) > ; > 0; > fi;# end if 7; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > 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, t_start, t_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_2, array_const_0D0, array_const_3D0, array_const_1, array_const_2D0, array_const_4D0, array_x2_init, array_x1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_x2, array_t, array_x1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_tmp16, array_tmp17, array_m1, array_x2_higher, array_x2_higher_work, array_x2_higher_work2, array_x2_set_initial, array_x1_higher, array_x1_higher_work, array_x1_higher_work2, array_x1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_max_h := 0.1; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-200); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_max_minutes := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 2; 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/mtest6_revpostode.ode#################"); omniout_str(ALWAYS, "diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - \ diff(x1,t,2) - diff (x1,t,1)+x1;"); omniout_str(ALWAYS, "diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=64;"); 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, "## problem from Boyce DePrima -"); omniout_str(ALWAYS, "## _Elementary Differential Equations and Bounda\ ry Value Problems_"); omniout_str(ALWAYS, "## page 269"); omniout_str(ALWAYS, "##"); omniout_str(ALWAYS, "t_start := 1.5;"); omniout_str(ALWAYS, "## did poorly with t_start := 0.5;"); omniout_str(ALWAYS, "t_end := 5.0;"); omniout_str(ALWAYS, "array_x1_init[0 + 1] := exact_soln_x1(t_start);"); omniout_str(ALWAYS, "## I think following line should be omitted"); omniout_str(ALWAYS, "## diff(x1,1,exact_soln_x1p(t_start));"); omniout_str(ALWAYS, "array_x2_init[0 + 1] := exact_soln_x2(t_start);"); omniout_str(ALWAYS, "array_x2_init[1 + 1] := exact_soln_x2p(t_start);") ; omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 100;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_x1 := proc(t)"); omniout_str(ALWAYS, "local c1,c2,c3;"); omniout_str(ALWAYS, "c1 := 1.0;"); omniout_str(ALWAYS, "c2 := 0.0002;"); omniout_str(ALWAYS, "c3 := 0.0003;"); omniout_str(ALWAYS, "return(2.0 * c1 + 6.0 * c3 * exp(-t));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_x1p := proc(t)"); omniout_str(ALWAYS, "local c1,c2,c3;"); omniout_str(ALWAYS, "c1 := 1.0;"); omniout_str(ALWAYS, "c2 := 0.0002;"); omniout_str(ALWAYS, "c3 := 0.0003;"); omniout_str(ALWAYS, "return( - 6.0 * c3 * exp(-t));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_x2 := proc(t)"); omniout_str(ALWAYS, "local c1,c2,c3;"); omniout_str(ALWAYS, "c1 := 1.0;"); omniout_str(ALWAYS, "c2 := 0.0002;"); omniout_str(ALWAYS, "c3 := 0.0003;"); omniout_str(ALWAYS, "return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_x2p := proc(t)"); omniout_str(ALWAYS, "local c1,c2,c3;"); omniout_str(ALWAYS, "c1 := 1.0;"); omniout_str(ALWAYS, "c2 := 0.0002;"); omniout_str(ALWAYS, "c3 := 0.0003;"); omniout_str(ALWAYS, "return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 64; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_x2_init := Array(0 .. max_terms + 1, []); array_x1_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_x2 := Array(0 .. max_terms + 1, []); array_t := Array(0 .. max_terms + 1, []); array_x1 := 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_tmp6 := Array(0 .. max_terms + 1, []); array_tmp7 := Array(0 .. max_terms + 1, []); array_tmp8 := Array(0 .. max_terms + 1, []); array_tmp9 := Array(0 .. max_terms + 1, []); array_tmp10 := Array(0 .. max_terms + 1, []); array_tmp11 := Array(0 .. max_terms + 1, []); array_tmp12 := Array(0 .. max_terms + 1, []); array_tmp13 := Array(0 .. max_terms + 1, []); array_tmp14 := Array(0 .. max_terms + 1, []); array_tmp15 := Array(0 .. max_terms + 1, []); array_tmp16 := Array(0 .. max_terms + 1, []); array_tmp17 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_x2_higher := Array(0 .. 4, 0 .. max_terms + 1, []); array_x2_higher_work := Array(0 .. 4, 0 .. max_terms + 1, []); array_x2_higher_work2 := Array(0 .. 4, 0 .. max_terms + 1, []); array_x2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_x1_higher := Array(0 .. 4, 0 .. max_terms + 1, []); array_x1_higher_work := Array(0 .. 4, 0 .. max_terms + 1, []); array_x1_higher_work2 := Array(0 .. 4, 0 .. max_terms + 1, []); array_x1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_poles := Array(0 .. 3, 0 .. 4, []); array_real_pole := Array(0 .. 3, 0 .. 4, []); array_complex_pole := 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_x2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x1_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_x2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_t[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x1[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_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp7[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp9[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp10[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp11[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp12[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp13[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp14[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp15[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp16[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp17[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 <= 3 do term := 1; while term <= max_terms do array_x2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x2_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x2_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x1_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x1_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_x1_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_real_pole[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_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_x2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x2[term] := 0.; term := term + 1 end do; array_t := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_t[term] := 0.; term := term + 1 end do; array_x1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x1[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_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_tmp7 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1 end do; array_tmp8 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1 end do; array_tmp9 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1 end do; array_tmp10 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp10[term] := 0.; term := term + 1 end do; array_tmp11 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp11[term] := 0.; term := term + 1 end do; array_tmp12 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp12[term] := 0.; term := term + 1 end do; array_tmp13 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp13[term] := 0.; term := term + 1 end do; array_tmp14 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp14[term] := 0.; term := term + 1 end do; array_tmp15 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp15[term] := 0.; term := term + 1 end do; array_tmp16 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp16[term] := 0.; term := term + 1 end do; array_tmp17 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp17[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_2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2[term] := 0.; term := term + 1 end do; array_const_2[1] := 2; 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_3D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3D0[term] := 0.; term := term + 1 end do; array_const_3D0[1] := 3.0; array_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_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_4D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_4D0[term] := 0.; term := term + 1 end do; array_const_4D0[1] := 4.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; t_start := 1.5; t_end := 5.0; array_x1_init[1] := exact_soln_x1(t_start); array_x2_init[1] := exact_soln_x2(t_start); array_x2_init[2] := exact_soln_x2p(t_start); glob_look_poles := true; glob_max_iter := 100; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_x2_set_initial[1, 1] := true; array_x2_set_initial[1, 2] := true; array_x2_set_initial[1, 3] := false; array_x2_set_initial[1, 4] := false; array_x2_set_initial[1, 5] := false; array_x2_set_initial[1, 6] := false; array_x2_set_initial[1, 7] := false; array_x2_set_initial[1, 8] := false; array_x2_set_initial[1, 9] := false; array_x2_set_initial[1, 10] := false; array_x2_set_initial[1, 11] := false; array_x2_set_initial[1, 12] := false; array_x2_set_initial[1, 13] := false; array_x2_set_initial[1, 14] := false; array_x2_set_initial[1, 15] := false; array_x2_set_initial[1, 16] := false; array_x2_set_initial[1, 17] := false; array_x2_set_initial[1, 18] := false; array_x2_set_initial[1, 19] := false; array_x2_set_initial[1, 20] := false; array_x2_set_initial[1, 21] := false; array_x2_set_initial[1, 22] := false; array_x2_set_initial[1, 23] := false; array_x2_set_initial[1, 24] := false; array_x2_set_initial[1, 25] := false; array_x2_set_initial[1, 26] := false; array_x2_set_initial[1, 27] := false; array_x2_set_initial[1, 28] := false; array_x2_set_initial[1, 29] := false; array_x2_set_initial[1, 30] := false; array_x1_set_initial[2, 1] := true; array_x1_set_initial[2, 2] := false; array_x1_set_initial[2, 3] := false; array_x1_set_initial[2, 4] := false; array_x1_set_initial[2, 5] := false; array_x1_set_initial[2, 6] := false; array_x1_set_initial[2, 7] := false; array_x1_set_initial[2, 8] := false; array_x1_set_initial[2, 9] := false; array_x1_set_initial[2, 10] := false; array_x1_set_initial[2, 11] := false; array_x1_set_initial[2, 12] := false; array_x1_set_initial[2, 13] := false; array_x1_set_initial[2, 14] := false; array_x1_set_initial[2, 15] := false; array_x1_set_initial[2, 16] := false; array_x1_set_initial[2, 17] := false; array_x1_set_initial[2, 18] := false; array_x1_set_initial[2, 19] := false; array_x1_set_initial[2, 20] := false; array_x1_set_initial[2, 21] := false; array_x1_set_initial[2, 22] := false; array_x1_set_initial[2, 23] := false; array_x1_set_initial[2, 24] := false; array_x1_set_initial[2, 25] := false; array_x1_set_initial[2, 26] := false; array_x1_set_initial[2, 27] := false; array_x1_set_initial[2, 28] := false; array_x1_set_initial[2, 29] := false; array_x1_set_initial[2, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(t_start, t_end); glob_h := check_sign(t_start, t_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_t[1] := t_start; array_t[2] := glob_h; glob_next_display := t_start; order_diff := 2; term_no := 1; while term_no <= order_diff do array_x2[term_no] := array_x2_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_x2_higher[r_order, term_no] := array_x2_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; order_diff := 2; term_no := 1; while term_no <= order_diff do array_x1[term_no] := array_x1_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_x1_higher[r_order, term_no] := array_x1_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; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 3 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 3 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; est_needed_step_err := estimated_needed_step_error(t_start, t_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_t[1] := t_start; array_t[2] := glob_h; glob_next_display := t_start; order_diff := 2; term_no := 1; while term_no <= order_diff do array_x2[term_no] := array_x2_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_x2_higher[r_order, term_no] := array_x2_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; order_diff := 2; term_no := 1; while term_no <= order_diff do array_x1[term_no] := array_x1_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_x1_higher[r_order, term_no] := array_x1_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_t[1] < glob_check_sign*t_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; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 3 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 3 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; 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_t[1] := array_t[1] + glob_h; array_t[2] := glob_h; order_diff := 3; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_x2_higher_work[3, iii] := array_x2_higher[3, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_x2_higher_work[2, iii] := array_x2_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_x2_higher_work[2, iii] := array_x2_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_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_x2_higher_work[1, iii] := array_x2_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_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_x2_higher_work[1, iii] := array_x2_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_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_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_x2_higher_work[1, iii] := array_x2_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_x2_higher_work[ord, iii]; iii := iii - 1 end do; array_x2_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_x2[term_no] := array_x2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_x2_higher[ord, term_no] := array_x2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_x1_higher_work[2, iii] := array_x1_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_x1_higher_work[ord, iii]; iii := iii - 1 end do; array_x1_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_x1_higher_work[1, iii] := array_x1_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_x1_higher_work[ord, iii]; iii := iii - 1 end do; array_x1_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_x1_higher_work[1, iii] := array_x1_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_x1_higher_work[ord, iii]; iii := iii - 1 end do; array_x1_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_x1[term_no] := array_x1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_x1_higher[ord, term_no] := array_x1_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 (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 \ - diff(x1,t,2) - diff (x1,t,1)+x1;"); omniout_str(INFO, "diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1;") ; omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(t_start, t_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T17:15:07-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest6_rev"); logitem_str(html_log_file, "diff (x2,t,2) = 3.0 * diff(x2,t,1\ ) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1;"); logitem_float(html_log_file, t_start); logitem_float(html_log_file, t_end); logitem_float(html_log_file, array_t[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "mtest6_rev diffeq.mxt"); logitem_str(html_log_file, "mtest6_rev maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff (x1,t,1) = 4.0 * x2 - 2.0 *\ diff (x2,t ,1) - 2.0 * x1;"); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_good_digits(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/mtest6_revpostode.ode################# diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1; diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; ! #BEGIN FIRST INPUT BLOCK Digits:=64; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK ## problem from Boyce DePrima - ## _Elementary Differential Equations and Boundary Value Problems_ ## page 269 ## t_start := 1.5; ## did poorly with t_start := 0.5; t_end := 5.0; array_x1_init[0 + 1] := exact_soln_x1(t_start); ## I think following line should be omitted ## diff(x1,1,exact_soln_x1p(t_start)); array_x2_init[0 + 1] := exact_soln_x2(t_start); array_x2_init[1 + 1] := exact_soln_x2p(t_start); glob_look_poles := true; glob_max_iter := 100; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_x1 := proc(t) local c1,c2,c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return(2.0 * c1 + 6.0 * c3 * exp(-t)); end; exact_soln_x1p := proc(t) local c1,c2,c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return( - 6.0 * c3 * exp(-t)); end; exact_soln_x2 := proc(t) local c1,c2,c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return(c1 + c2 * exp(2.0 * t) + c3 * exp(-t)); end; exact_soln_x2p := proc(t) local c1,c2,c3; c1 := 1.0; c2 := 0.0002; c3 := 0.0003; return( 2.0 * c2 * exp(2.0 * t) - c3 * exp(-t)); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 memory used=3.8MB, alloc=3.1MB, time=0.14 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 3.5 estimated_steps = 3500 step_error = 2.8571428571428571428571428571429e-14 est_needed_step_err = 2.8571428571428571428571428571429e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 7.1304008296095361171169457794767e-100 max_value3 = 7.1304008296095361171169457794767e-100 value3 = 7.1304008296095361171169457794767e-100 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.6MB, time=0.31 t[1] = 1.5 x2[1] (analytic) = 1.0040840464326820624968656900721 x2[1] (numeric) = 1.0040840464326820624968656900721 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 x1[1] (analytic) = 2.0004016342882671736920799048474 x1[1] (numeric) = 2.0004016342882671736920799048474 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.762e+04 Order of pole = 1.193e+08 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.6MB, time=0.48 memory used=15.2MB, alloc=4.7MB, time=0.65 t[1] = 1.501 x2[1] (analytic) = 1.0040920217814352549355990840483 x2[1] (numeric) = 1.0040920219825203059411840716547 absolute error = 2.0108505100558498760633967116234e-10 relative error = 2.0026555997210779418663970204021e-08 % Correct digits = 9 h = 0.001 x1[1] (analytic) = 2.0004012328547291283353457585095 x1[1] (numeric) = 2.0004012324530948065986469285143 absolute error = 4.0163432173669882999519985185239e-10 relative error = 2.0077688172763981825334401753882e-08 % Correct digits = 9 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.764e+04 Order of pole = 1.194e+08 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.7MB, time=0.82 t[1] = 1.502 x2[1] (analytic) = 1.0041000132976645181903676658179 x2[1] (numeric) = 1.0041000141030775562113837079041 absolute error = 8.0541303802101604208618940889713e-10 relative error = 8.0212431765226169113041482148620e-08 % Correct digits = 9 h = 0.001 x1[1] (analytic) = 2.0004008318224239711438122894805 x1[1] (numeric) = 2.000400830215886282562661763273 absolute error = 1.6065376885811505262075564450922e-09 relative error = 8.0310788869126167001335656077177e-08 % Correct digits = 9 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.766e+04 Order of pole = 1.196e+08 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.7MB, time=0.99 t[1] = 1.503 x2[1] (analytic) = 1.0041080210135364440697078518916 x2[1] (numeric) = 1.004108022828132374385180876944 absolute error = 1.8145959303154730250523838993419e-09 relative error = 1.8071720296426258126154198651019e-07 % Correct digits = 8 h = 0.001 x1[1] (analytic) = 2.0004004311909506697789029463498 x1[1] (numeric) = 2.0004004275762393643420806046438 absolute error = 3.6147113054368223417060166502406e-09 relative error = 1.8069938643658368882939877704342e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.769e+04 Order of pole = 1.197e+08 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.7MB, time=1.17 t[1] = 1.504 x2[1] (analytic) = 1.0041160449612822225583946635362 x2[1] (numeric) = 1.0041160481915315505262312071071 absolute error = 3.2302493279678365435709088936365e-09 relative error = 3.2170079784875780393588468434256e-07 % Correct digits = 8 h = 0.001 x1[1] (analytic) = 2.0004000309599085927339304069868 x1[1] (numeric) = 2.0004000245337514122564319270174 absolute error = 6.4261571804774984799693788652222e-09 relative error = 3.2124360532997260097015182594486e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.771e+04 Order of pole = 1.198e+08 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.7MB, time=1.34 t[1] = 1.505 x2[1] (analytic) = 1.0041240851731977709425604776091 x2[1] (numeric) = 1.0041240902271902408832143776889 absolute error = 5.0539924699406539000798570397909e-09 relative error = 5.0332349801856498849756999174757e-07 % Correct digits = 8 h = 0.001 x1[1] (analytic) = 2.0003996311288975089334650384673 x1[1] (numeric) = 2.0003996210880193837841767696295 absolute error = 1.0040878125149288268837844315092e-08 relative error = 5.0194361011168850086401429192937e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.773e+04 Order of pole = 1.199e+08 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.7MB, time=1.51 memory used=38.1MB, alloc=4.8MB, time=1.68 t[1] = 1.506 x2[1] (analytic) = 1.0041321416816438631935228534126 x2[1] (numeric) = 1.0041321489690921053641964365107 absolute error = 7.2874482421706735830980638362477e-09 relative error = 7.2574593917153289552546177892550e-07 % Correct digits = 8 h = 0.001 x1[1] (analytic) = 2.0003992316975175873331037882918 x1[1] (numeric) = 2.0003992172386398331596661814352 absolute error = 1.4458877754173437606856632075823e-08 relative error = 7.2279960545194706874265027998772e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.776e+04 Order of pole = 1.200e+08 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.8MB, time=1.86 t[1] = 1.507 x2[1] (analytic) = 1.0041402145190462596108391711686 x2[1] (numeric) = 1.0041402244512894452868214456174 absolute error = 9.9322431856759822744487899210070e-09 relative error = 9.8912911185747457940476972432782e-07 % Correct digits = 8 h = 0.001 x1[1] (analytic) = 2.0003988326653693965196391066627 x1[1] (numeric) = 2.0003988129852089109696954218396 absolute error = 1.9680160485549943684823104400060e-08 relative error = 9.8381183612908452287489807399442e-07 % Correct digits = 8 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.778e+04 Order of pole = 1.202e+08 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.8MB, time=2.03 t[1] = 1.508 x2[1] (analytic) = 1.0041483037178958367251068544194 x2[1] (numeric) = 1.0041483167079033414048852715679 absolute error = 1.2990007504679778417148519122615e-08 relative error = 1.2936343622335266933403006471541e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003984340320539043116274999909 x1[1] (numeric) = 2.0003984083273223637496545138387 absolute error = 2.5704731540561972986152124193182e-08 relative error = 1.2849805870298979917299101105418e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.781e+04 Order of pole = 1.203e+08 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.8MB, time=2.20 t[1] = 1.509 x2[1] (analytic) = 1.0041564093107487174610289874451 x2[1] (numeric) = 1.0041564257731237922118454441186 absolute error = 1.6462375074750816456673437148779e-08 relative error = 1.6394233928209015981818424321520e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003980357971724773603573161998 x1[1] (numeric) = 2.0003980032645755335792747457222 absolute error = 3.2532596943781082570477645373214e-08 relative error = 1.6263061831500258037793920714532e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.783e+04 Order of pole = 1.204e+08 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.8MB, time=2.38 t[1] = 1.51 x2[1] (analytic) = 1.0041645313302264015612661796507 x2[1] (numeric) = 1.0041645516812098525218221166674 absolute error = 2.0350983450960555937016719741191e-08 relative error = 2.0266582632630344600668979884066e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003976379603268807512153627942 x1[1] (numeric) = 2.0003975977965633576779707170824 absolute error = 4.0163763523073244645711820151268e-08 relative error = 2.0077889895943676956999867152463e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.785e+04 Order of pole = 1.205e+08 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.8MB, time=2.55 t[1] = 1.511 x2[1] (analytic) = 1.0041726698090158962715965718187 x2[1] (numeric) = 1.0041726944664897723286462736074 absolute error = 2.4657473876057049701788668401452e-08 relative error = 2.4555013910851275234956431825923e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003972405211192776054519590606 x1[1] (numeric) = 2.0003971919228803679997775244744 absolute error = 4.8598238909605674434586195793679e-08 relative error = 2.4294294115775449397760072565776e-06 % Correct digits = 7 h = 0.001 memory used=61.0MB, alloc=4.8MB, time=2.72 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.788e+04 Order of pole = 1.206e+08 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.8MB, time=2.90 t[1] = 1.512 x2[1] (analytic) = 1.0041808247798698472879069241623 x2[1] (numeric) = 1.0041808541633611359435124437515 absolute error = 2.9383491288655605519589263768114e-08 relative error = 2.9261155524550937480548851953525e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003968434791522286823440241646 x1[1] (numeric) = 2.0003967856431206908278826816618 absolute error = 5.7836031537854461342502867976020e-08 relative error = 2.8912278944244003913418866039812e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.790e+04 Order of pole = 1.208e+08 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.8MB, time=3.07 t[1] = 1.513 x2[1] (analytic) = 1.004188996275606669965538773233 x2[1] (numeric) = 1.0041890308062910014117942952321 absolute error = 3.4530684331446255521999139329906e-08 relative error = 3.4386638829459019986018893487808e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003964468340286919817558033081 x1[1] (numeric) = 2.0003963789568780463687523689814 absolute error = 6.7877150645613003434326759216076e-08 relative error = 3.3931849235705384571428726161707e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.793e+04 Order of pole = 1.209e+08 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.8MB, time=3.25 t[1] = 1.514 x2[1] (analytic) = 1.0041971843291106807915146939654 x2[1] (numeric) = 1.004197224429816040209582605756 absolute error = 4.0100705359418067911790589883972e-08 relative error = 3.9933098782993259803051659675299e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003960505853520223470968345063 x1[1] (numeric) = 2.0003959718637457483458516059528 absolute error = 7.8721606274001245228553499880930e-08 relative error = 3.9353010245629049855316657719670e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.795e+04 Order of pole = 1.210e+08 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.8MB, time=3.42 t[1] = 1.515 x2[1] (analytic) = 1.0042053889733322291201707544579 x2[1] (numeric) = 1.0042054350685426772205062228132 absolute error = 4.6095210448100335468355299037037e-08 relative error = 4.5902173951910991115176068314665e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003956547327259710686767589437 x1[1] (numeric) = 2.000395564363316703592957940853 absolute error = 9.0369409267475718818090706705869e-08 relative error = 4.5175767630604070794578643047129e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.797e+04 Order of pole = 1.211e+08 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.8MB, time=3.60 t[1] = 1.516 x2[1] (analytic) = 1.0042136102412878291727223045192 x2[1] (numeric) = 1.0042136627571472309933977513995 absolute error = 5.2515859401820675446880277708401e-08 relative error = 5.2295506519974775290276755601549e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003952592757546854874565782631 x1[1] (numeric) = 2.0003951564551834116470682505693 absolute error = 1.0282057127384038832769378044312e-07 relative error = 5.1400127448345728332462529650223e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.800e+04 Order of pole = 1.213e+08 memory used=83.9MB, alloc=4.8MB, time=3.77 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.8MB, time=3.94 t[1] = 1.517 x2[1] (analytic) = 1.004221848166060292301291294543 x2[1] (numeric) = 1.0042219075303760542813668320214 absolute error = 5.9364315761980075537478331193309e-08 relative error = 5.9114742295632134217966298844816e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003948642140427085991959625386 x1[1] (numeric) = 2.0003947481389379643408982436379 absolute error = 1.1607510474425829771890068097997e-07 relative error = 5.8026096157702509941991451820695e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.802e+04 Order of pole = 1.214e+08 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.8MB, time=4.12 t[1] = 1.518 x2[1] (analytic) = 1.0042301027807988595179243789244 x2[1] (numeric) = 1.0042301694230456748628449992189 absolute error = 6.6642246815344920620294496612218e-08 relative error = 6.6361530719709408908439279927563e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003944695471949786589962130809 x1[1] (numeric) = 2.0003943394141720453949742589674 absolute error = 1.3013302293326402195411348583162e-07 relative error = 6.5053680618663505500971645295499e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.805e+04 Order of pole = 1.215e+08 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.8MB, time=4.29 t[1] = 1.519 x2[1] (analytic) = 1.004238374118719334289132117994 x2[1] (numeric) = 1.0042384484700429366451672405596 absolute error = 7.4351323602356035122565596797316e-08 relative error = 7.4037524873119765344889875096265e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003940752748168287862384846163 x1[1] (numeric) = 2.0003939302804769300093169523384 absolute error = 1.4499433989877692153227789712801e-07 relative error = 7.2482888092366202437120301041421e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.807e+04 Order of pole = 1.216e+08 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.8MB, time=4.47 t[1] = 1.52 x2[1] (analytic) = 1.0042466622131042155964806543355 x2[1] (numeric) = 1.0042467447063251410512565080421 absolute error = 8.2493220925454775853706622707570e-08 relative error = 8.2144381484585369596952654348196e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003936813965139865699168717796 x1[1] (numeric) = 2.0003935207374434844547164623643 absolute error = 1.6065907050211520040941523387859e-07 relative error = 8.0313726241104680154840917279845e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.809e+04 Order of pole = 1.217e+08 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.8MB, time=4.65 t[1] = 1.521 x2[1] (analytic) = 1.004254967097302831263768303365 x2[1] (numeric) = 1.0042550581669201886899785681004 absolute error = 9.1069617357426210264735366738322e-08 relative error = 9.0683760938373754217921515295174e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.0003932879118925736743659652513 x1[1] (numeric) = 2.0003931107846621656635986471865 absolute error = 1.7712723040801076731806483121861e-07 relative error = 8.8546203128338203755565448285655e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.812e+04 Order of pole = 1.219e+08 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.8MB, time=4.82 memory used=110.6MB, alloc=4.8MB, time=4.99 t[1] = 1.522 x2[1] (analytic) = 1.0042632888047314715513205641912 x2[1] (numeric) = 1.004263388886926721310735712917 absolute error = 1.0008219524975941514872586678748e-07 relative error = 9.9657327282048397963713569203004e-06 % Correct digits = 7 h = 0.001 x1[1] (analytic) = 2.00039289482055910544538248327 x1[1] (numeric) = 2.0003927004217230208204819827718 absolute error = 1.9439883608462490050049816731771e-07 relative error = 9.7180327218700217063974414657529e-06 % Correct digits = 7 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.814e+04 Order of pole = 1.220e+08 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.8MB, time=5.17 t[1] = 1.523 x2[1] (analytic) = 1.0042716273688735230179381250542 x2[1] (numeric) = 1.0042717369015142640428689945562 absolute error = 1.0953264074102493086950206921190e-07 relative error = 1.0906674823423354088667274557104e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003925021221204905167405846378 x1[1] (numeric) = 2.0003922896482156869520247132683 absolute error = 2.1247390480356471587136945247026e-07 relative error = 1.0621610737800773497279803302679e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.817e+04 Order of pole = 1.221e+08 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.8MB, time=5.34 t[1] = 1.524 x2[1] (analytic) = 1.0042799828232796026510335080572 x2[1] (numeric) = 1.0042801022459233679204397845032 absolute error = 1.1942264376526940627644596197716e-07 relative error = 1.1891369519239325687235128808398e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003921098161840304171004697374 x1[1] (numeric) = 2.0003918784637293905166618434665 absolute error = 2.3135245463990043862627084439061e-07 relative error = 1.1565355287327113511929334391113e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.819e+04 Order of pole = 1.222e+08 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.8MB, time=5.51 t[1] = 1.525 x2[1] (analytic) = 1.0042883552015676922654930704604 x2[1] (numeric) = 1.0042884849554657526929626045599 absolute error = 1.2975389806042746953409955206355e-07 relative error = 1.2919984324062480570236557831563e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003917179023574191773098764673 x1[1] (numeric) = 2.0003914668678529469938315630034 absolute error = 2.5103450447218347831346389970755e-07 relative error = 1.2549267337270434890688426499048e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.821e+04 Order of pole = 1.223e+08 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.8MB, time=5.69 t[1] = 1.526 x2[1] (analytic) = 1.0042967445374232731718021545144 x2[1] (numeric) = 1.0042968850655244499226623207022 absolute error = 1.4052810117675086016618774880418e-07 relative error = 1.3992687115746628674129524077915e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003913263802487429380980783973 x1[1] (numeric) = 2.0003910548601747604727906915349 absolute error = 2.7152007398246530738686233489571e-07 relative error = 1.3573347894573545188584347384745e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.824e+04 Order of pole = 1.225e+08 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.8MB, time=5.86 memory used=133.5MB, alloc=4.8MB, time=6.04 t[1] = 1.527 x2[1] (analytic) = 1.0043051508645994611139722546674 x2[1] (numeric) = 1.0043053026115539463688299394471 absolute error = 1.5174695448525485768477975313157e-07 relative error = 1.5109646142371861636038064768462e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003909352494664795581619928383 x1[1] (numeric) = 2.0003906424402828232410187336937 absolute error = 2.9280918365631714325914465120006e-07 relative error = 1.4637598006301765350728702953711e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.826e+04 Order of pole = 1.226e+08 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.8MB, time=6.21 t[1] = 1.528 x2[1] (analytic) = 1.0043135742169171414778101499894 x2[1] (numeric) = 1.0043137376290803276598523965296 absolute error = 1.6341216318618204224654022810641e-07 relative error = 1.6271030023028185122547314525945e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003905445096194982226440069126 x1[1] (numeric) = 2.0003902296077647153722101322339 absolute error = 3.1490185478285043387467867830605e-07 relative error = 1.5742018759644068626514467659342e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.829e+04 Order of pole = 1.227e+08 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.8MB, time=6.38 t[1] = 1.529 x2[1] (analytic) = 1.0043220146282651047700700308341 x2[1] (numeric) = 1.0043221901537014222534928802327 absolute error = 1.7552543631748342284939862557618e-07 relative error = 1.7477007748600587959130395416346e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003901541603170590520011301017 x1[1] (numeric) = 2.000389816362207604313854307358 absolute error = 3.3779810945473814682274361138726e-07 relative error = 1.6886611281914259424116083860430e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.831e+04 Order of pole = 1.228e+08 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.8MB, time=6.56 t[1] = 1.53 x2[1] (analytic) = 1.0043304721326001823690307320913 x2[1] (numeric) = 1.0043306602210869456859993865772 absolute error = 1.8808848676331696865448585492218e-07 relative error = 1.8727748682555550275866114011307e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003897642011688127112650821416 x1[1] (numeric) = 2.000389402703198244474403069803 absolute error = 3.6149797056823686201233865652660e-07 relative error = 1.8071376740552192106837340165849e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.833e+04 Order of pole = 1.230e+08 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.8MB, time=6.73 t[1] = 1.531 x2[1] (analytic) = 1.0043389467639473825470412708902 x2[1] (numeric) = 1.0043391478669786451106203607425 absolute error = 2.0110303126256357908985229073256e-07 relative error = 2.0023422561728992886549869030310e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003893746317848000196929255261 x1[1] (numeric) = 2.0003889886303229768100249948552 absolute error = 3.8600146182320966793067096116076e-07 relative error = 1.9296316343125029732890951114707e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.836e+04 Order of pole = 1.231e+08 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.8MB, time=6.90 memory used=156.4MB, alloc=4.8MB, time=7.08 t[1] = 1.532 x2[1] (analytic) = 1.0043474385564000267655789742922 x2[1] (numeric) = 1.0043476531271904441261074385824 absolute error = 2.1457079041736052846429021559998e-07 relative error = 2.1364199497115670119734694681218e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003889854517754515608078522664 x1[1] (numeric) = 2.0003885741431677284109463440473 absolute error = 4.1130860772314986150821908994390e-07 relative error = 2.0561431337328542740232975895404e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.838e+04 Order of pole = 1.232e+08 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.8MB, time=7.25 t[1] = 1.533 x2[1] (analytic) = 1.0043559475441198862433655723671 x2[1] (numeric) = 1.0043561760376085878957864639046 absolute error = 2.2849348870165242089153747137436e-07 relative error = 2.2750249974660008321664881737505e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003885966607515872928297349507 x1[1] (numeric) = 2.0003881592413180120873781208788 absolute error = 4.3741943357520545161407191306903e-07 relative error = 2.1866723010988447578114432235770e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.841e+04 Order of pole = 1.233e+08 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.8MB, time=7.43 t[1] = 1.534 x2[1] (analytic) = 1.0043644737613373187980877240834 x2[1] (numeric) = 1.0043647166341917885577791213211 absolute error = 2.4287285446975969139723763697554e-07 relative error = 2.4181744856048392252481068140399e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003882082583244161594950525322 x1[1] (numeric) = 2.0003877439243589259550288464858 absolute error = 4.6433396549020446620604640442794e-07 relative error = 2.3212192692061785287051683134992e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.843e+04 Order of pole = 1.235e+08 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.8MB, time=7.60 t[1] = 1.535 x2[1] (analytic) = 1.0043730172423514059622695376683 x2[1] (numeric) = 1.0043732749529713709269586909441 absolute error = 2.5771061996496468915327575373774e-07 relative error = 2.5658855379502901598483010686728e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003878202441055357012658016664 x1[1] (numeric) = 2.0003873281918751530202026407749 absolute error = 4.9205223038268106316089150183631e-07 relative error = 2.4597841748638340028956398792825e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.846e+04 Order of pole = 1.236e+08 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.8MB, time=7.78 t[1] = 1.536 x2[1] (analytic) = 1.004381578021530090373845743505 x2[1] (numeric) = 1.0043818510300514184892246000028 absolute error = 2.7300852132811537885649777125293e-07 relative error = 2.7181753160576499824634376071858e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003874326177069316669270048061 x1[1] (numeric) = 2.0003869120434509607644821941173 absolute error = 5.2057425597090244481068886170395e-07 relative error = 2.6023671588942097569205123958881e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.848e+04 Order of pole = 1.237e+08 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.8MB, time=7.95 memory used=179.2MB, alloc=4.8MB, time=8.13 t[1] = 1.537 x2[1] (analytic) = 1.0043901561333103134419852762448 x2[1] (numeric) = 1.0043904449016089196886816176016 absolute error = 2.8876829860624669634135677941941e-07 relative error = 2.8750610192949677592882759835061e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003870453787409776255724266522 x1[1] (numeric) = 2.0003864954786702007289962142872 absolute error = 5.4990007077689657621236504679364e-07 relative error = 2.7489683661332743712467712011048e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.850e+04 Order of pole = 1.238e+08 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.8MB, time=8.30 t[1] = 1.538 x2[1] (analytic) = 1.00439875161219815328871612362 x2[1] (numeric) = 1.00439905660389391450831071233 absolute error = 3.0499169576121959458871001808816e-07 relative error = 3.0365598849228552973247691954351e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.000386658526820434578978110945 x1[1] (numeric) = 2.0003860784971163080982709329116 absolute error = 5.8002970412648070717803341889064e-07 relative error = 2.8995879454307202694153121413570e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.853e+04 Order of pole = 1.239e+08 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.8MB, time=8.48 t[1] = 1.539 x2[1] (analytic) = 1.0044073644927689629669034024524 x2[1] (numeric) = 1.0044076861732296413447197682703 absolute error = 3.2168046067837781636581790711964e-07 relative error = 3.2026891881744430675999554029592e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003862720615584505743633499703 x1[1] (numeric) = 2.0003856610983723012836652552825 absolute error = 6.1096318614929069809468776910171e-07 relative error = 3.0542260496501215529370307838541e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.855e+04 Order of pole = 1.241e+08 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.8MB, time=8.65 t[1] = 1.54 x2[1] (analytic) = 1.0044159948096675089551337275755 x2[1] (numeric) = 1.0044163336460126841775635331457 absolute error = 3.3883634517522242980557021019363e-07 relative error = 3.3734662423354822534613050963682e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.000385885982568560317538699541 x1[1] (numeric) = 2.0003852432820207815063891369675 absolute error = 6.4270054777881114956257350792092e-07 relative error = 3.2128828356690958321341186195738e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.858e+04 Order of pole = 1.242e+08 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.8MB, time=8.83 t[1] = 1.541 x2[1] (analytic) = 1.0044246425976081099300600468175 x2[1] (numeric) = 1.0044249990587131200342233529027 absolute error = 3.5646110501010416330608522931599e-07 relative error = 3.5489083988245931470530085305228e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003855002894646847864406526027 x1[1] (numeric) = 2.0003848250476439323801047702367 absolute error = 6.7524182075240633588236605594441e-07 relative error = 3.3755584643794700531241881141429e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.860e+04 Order of pole = 1.243e+08 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.8MB, time=9.00 memory used=202.1MB, alloc=4.8MB, time=9.17 t[1] = 1.542 x2[1] (analytic) = 1.004433307891374775816762224842 x2[1] (numeric) = 1.0044336824478746667503384299379 absolute error = 3.7455649989093357620509591819205e-07 relative error = 3.7290330472736601172108510170250e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003851149818611308450525849963 x1[1] (numeric) = 2.0003844063948235194931101629064 absolute error = 7.0858703761135194242208992499013e-07 relative error = 3.5422531006874503211487732363281e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.863e+04 Order of pole = 1.244e+08 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.8MB, time=9.35 t[1] = 1.543 x2[1] (analytic) = 1.0044419907258213471176797705149 x2[1] (numeric) = 1.0044423838501148310267815274672 absolute error = 3.9312429348390910175695229662929e-07 relative error = 3.9138576156083733721465221847306e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003847300593725908577115873005 x1[1] (numeric) = 2.0003839873231408899901046917847 absolute error = 7.4273623170086760689551585918652e-07 relative error = 3.7129669135137957204516772102268e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.865e+04 Order of pole = 1.246e+08 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.8MB, time=9.52 t[1] = 1.544 x2[1] (analytic) = 1.0044506911358716345206742165598 x2[1] (numeric) = 1.0044511033021250567836732301926 absolute error = 4.1216625342226299901363284062603e-07 relative error = 4.1033995701289177404244330454731e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003843455216141423038007970602 x1[1] (numeric) = 2.0003835678321769721535362124829 absolute error = 7.7768943717015026458457731713906e-07 relative error = 3.8877000757939961309165647009969e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.867e+04 Order of pole = 1.247e+08 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.8MB, time=9.70 t[1] = 1.545 x2[1] (analytic) = 1.0044594091565195587867797765919 x2[1] (numeric) = 1.0044598408406708738120300614608 absolute error = 4.3168415131502525028486891012600e-07 relative error = 4.2976764155908086938653650717217e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003839613682012473928268460924 x1[1] (numeric) = 2.0003831479215122749845293069409 absolute error = 8.1344668897240829753915152036983e-07 relative error = 4.0664527644784540416771214587172e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.870e+04 Order of pole = 1.248e+08 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.8MB, time=9.87 t[1] = 1.546 x2[1] (analytic) = 1.0044681448228292909182020231808 x2[1] (numeric) = 1.0044685965025920467236429495269 absolute error = 4.5167976275580544092634605549173e-07 relative error = 4.4967056952858758361415419129274e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003835775987497526798820379481 x1[1] (numeric) = 2.0003827275907268877833942495938 absolute error = 8.5000802286489648778835427065701e-07 relative error = 4.2492251605326703619170306143897e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.872e+04 Order of pole = 1.249e+08 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.8MB, time=10.05 t[1] = 1.547 x2[1] (analytic) = 1.004476898169935392607125451393 x2[1] (numeric) = 1.0044773703248027241997837303475 absolute error = 4.7215486733159265827895451208979e-07 relative error = 4.7005049911233940809569902252439e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003831942128758886814908709918 x1[1] (numeric) = 2.0003823068394004797297162726901 absolute error = 8.8737347540895177459830175048182e-07 relative error = 4.4360174489374342290809413498050e-05 % Correct digits = 6 h = 0.001 memory used=225.0MB, alloc=4.8MB, time=10.23 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.875e+04 Order of pole = 1.251e+08 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.8MB, time=10.40 t[1] = 1.548 x2[1] (analytic) = 1.0044856692330429569658919153076 x2[1] (numeric) = 1.0044861623442915885393385715263 absolute error = 4.9311124863157344665621864810090e-07 relative error = 4.9090919237113627438353347137524e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003828112101962694918405229456 x1[1] (numeric) = 2.000381885667112299462024710849 absolute error = 9.2554308397002981581209656732457e-07 relative error = 4.6268298186890168147215325526554e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.877e+04 Order of pole = 1.252e+08 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.8MB, time=10.58 t[1] = 1.549 x2[1] (analytic) = 1.0044944580474277495391130502935 x2[1] (numeric) = 1.0044949725981220055069684016353 absolute error = 5.1455069425596785535134187247814e-07 relative error = 5.1224841524379327716644472066439e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003824285903278923993949131268 x1[1] (numeric) = 2.0003814640734411746570416045274 absolute error = 9.6451688671774235330859938484251e-07 relative error = 4.8216624627993691282117013235338e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.880e+04 Order of pole = 1.253e+08 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.8MB, time=10.75 t[1] = 1.55 x2[1] (analytic) = 1.0045032646484363495982809213755 x2[1] (numeric) = 1.0045038011234321744818976311354 absolute error = 5.3647499582488361670975983718806e-07 relative error = 5.3406993755529823342736336870551e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003820463528881375038919589956 x1[1] (numeric) = 2.000381042057965511608509341644 absolute error = 1.0042949226258953826173516028150e-06 relative error = 5.0205155782963238185548338259560e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.882e+04 Order of pole = 1.254e+08 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.8MB, time=10.92 t[1] = 1.551 x2[1] (analytic) = 1.0045120890714862917194422678258 x2[1] (numeric) = 1.0045126479574352789079336555268 absolute error = 5.5888594898718849138770098038939e-07 relative error = 5.5637553302498410024442899610206e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003816644974947673337236440078 x1[1] (numeric) = 2.0003806196202632948055969161891 absolute error = 1.0448772314725281267278187039597e-06 relative error = 5.2233893662238009745300439679248e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.884e+04 Order of pole = 1.256e+08 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.8MB, time=11.10 t[1] = 1.552 x2[1] (analytic) = 1.0045209313520662076445028461727 x2[1] (numeric) = 1.0045215131374196370453208381826 absolute error = 5.8178535342940081799200985554635e-07 relative error = 5.7916697927471627368791792703428e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003812830237659264636985141534 x1[1] (numeric) = 2.0003801967599120865108843822253 absolute error = 1.0862638538399528141319280801098e-06 relative error = 5.4302840316420179234131937774868e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.887e+04 Order of pole = 1.257e+08 memory used=247.9MB, alloc=4.8MB, time=11.28 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.8MB, time=11.45 t[1] = 1.553 x2[1] (analytic) = 1.0045297915257359684267295081549 x2[1] (numeric) = 1.0045303967007488530250338795505 absolute error = 6.0517501288459830437139557674867e-07 relative error = 6.0244605783709479127786768685068e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003809019313201411331862209442 x1[1] (numeric) = 2.0003797734764890263379250812648 absolute error = 1.1284548311147952611396793836075e-06 relative error = 5.6411997836277030285184380888451e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.889e+04 Order of pole = 1.258e+08 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.8MB, time=11.63 t[1] = 1.554 x2[1] (analytic) = 1.0045386696281268268610187867455 x2[1] (numeric) = 1.0045392986848619682061166910709 absolute error = 6.2905673514134509790432538443745e-07 relative error = 6.2621455416367146047944805377259e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003805212197763188646437289939 x1[1] (numeric) = 2.0003793497695708308283852205842 absolute error = 1.1714502054880362585084097229024e-06 relative error = 5.8561368352743134858089652935514e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.892e+04 Order of pole = 1.259e+08 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.8MB, time=11.81 t[1] = 1.555 x2[1] (analytic) = 1.0045475656949415601995019022472 x2[1] (numeric) = 1.0045482191272736128366741062393 absolute error = 6.5343233205263717220399210063530e-07 relative error = 6.5047425763318193572523953775941e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003801408887537480825228067174 x1[1] (numeric) = 2.000378925638733793028760379617 absolute error = 1.2152500199550537624271003350724e-06 relative error = 6.0750954036922571198295354367530e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.894e+04 Order of pole = 1.261e+08 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.8MB, time=11.98 t[1] = 1.556 x2[1] (analytic) = 1.0045564797619546131530572416158 x2[1] (numeric) = 1.0045571580655741580191249777602 absolute error = 6.7830361954486606773614440158003e-07 relative error = 6.7522696155979276646558590524666e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003797609378720977325584190562 x1[1] (numeric) = 2.0003785010835537820666685211405 absolute error = 1.2598543183156658898979157230867e-06 relative error = 6.2980757100091181792173468550705e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.897e+04 Order of pole = 1.262e+08 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.8MB, time=12.16 t[1] = 1.557 x2[1] (analytic) = 1.0045654118650122411793025076075 x2[1] (numeric) = 1.0045661155374298679803264286882 absolute error = 7.0367241762680102392108069189727e-07 relative error = 7.0047446320136343876008731273437e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003793813667514169014376415198 x1[1] (numeric) = 2.0003780761036062427267190835492 absolute error = 1.3052631451741747185579706429357e-06 relative error = 6.5250779793698871320516928640852e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.899e+04 Order of pole = 1.263e+08 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.8MB, time=12.33 memory used=274.6MB, alloc=4.8MB, time=12.50 t[1] = 1.558 x2[1] (analytic) = 1.0045743620400326540576398800769 x2[1] (numeric) = 1.0045750915805830526471802468481 absolute error = 7.2954055039858954036677122226383e-07 relative error = 7.2621856376772343293509402022769e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003790021750121344368487152096 x1[1] (numeric) = 2.0003776506984661950259577300849 absolute error = 1.3514765459394108909851247660426e-06 relative error = 6.7561024409371944613068007132737e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.902e+04 Order of pole = 1.265e+08 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.8MB, time=12.68 t[1] = 1.559 x2[1] (analytic) = 1.0045833303230061597519286797709 x2[1] (numeric) = 1.0045840862328522205283336356602 absolute error = 7.5590984606077640495588925666287e-07 relative error = 7.5246106842896431984374682944351e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003786233622750585679098628765 x1[1] (numeric) = 2.0003772248677082337888863304672 absolute error = 1.3984945668247790235324093264690e-06 relative error = 6.9911493278915484606761761381993e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.904e+04 Order of pole = 1.266e+08 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.8MB, time=12.85 t[1] = 1.56 x2[1] (analytic) = 1.0045923167499953085613611752895 x2[1] (numeric) = 1.0045930995321322319025877607904 absolute error = 7.8278213692334122658550087117903e-07 relative error = 7.7920378632374691827668863058608e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003782449281613765259774864397 x1[1] (numeric) = 2.0003767986109065282220577499452 absolute error = 1.4463172548483039197364945911265e-06 relative error = 7.2302188774315770310407083575160e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.907e+04 Order of pole = 1.267e+08 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.8MB, time=13.03 t[1] = 1.561 x2[1] (analytic) = 1.0046013213571350375601183265024 x2[1] (numeric) = 1.0046021315163944523146287607871 absolute error = 8.1015925941475451043428465980233e-07 relative error = 8.0644853056762353608304104140170e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003778668722926541658333667755 x1[1] (numeric) = 2.000376371927634821488245020364 absolute error = 1.4949446578326775883464115653109e-06 relative error = 7.4733113307742734778567222895093e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.909e+04 Order of pole = 1.268e+08 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.8MB, time=13.20 t[1] = 1.562 x2[1] (analytic) = 1.0046103441806328153263834126454 x2[1] (numeric) = 1.0046111822236869063786971210729 absolute error = 8.3804305409105231370842754049509e-07 relative error = 8.3419711826137531757260037612489e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003774891942908355872504869628 x1[1] (numeric) = 2.0003759448174664302801844674168 absolute error = 1.5443768244053070660195459661999e-06 relative error = 7.7204269331552463097440971031604e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.911e+04 Order of pole = 1.270e+08 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.8MB, time=13.38 memory used=297.5MB, alloc=4.8MB, time=13.55 t[1] = 1.563 x2[1] (analytic) = 1.0046193852567687869612926505592 x2[1] (numeric) = 1.0046202516921344318908125443305 absolute error = 8.6643536564492951989377130402930e-07 relative error = 8.6245137049936471978145737973594e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003771118937782427569371005512 x1[1] (numeric) = 2.0003755172799742443938923678241 absolute error = 1.5946138039983630447327271642940e-06 relative error = 7.9715659338289730385585029757254e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.914e+04 Order of pole = 1.271e+08 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.8MB, time=13.73 t[1] = 1.564 x2[1] (analytic) = 1.0046284446218959193984030680971 x2[1] (numeric) = 1.0046293399599388342501726864639 absolute error = 8.9533804291485176961836683664464e-07 relative error = 8.9121311237790314019438459148462e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003767349703775751308586667967 x1[1] (numeric) = 2.0003750893147307263015547097572 absolute error = 1.6456556468488293039570395079407e-06 relative error = 8.2267285860690579812357411062399e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.916e+04 Order of pole = 1.272e+08 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.8MB, time=13.90 t[1] = 1.565 x2[1] (analytic) = 1.0046375223124401470042590596031 x2[1] (numeric) = 1.0046384470653790411903453659324 absolute error = 9.2475293889418608630632938384635e-07 relative error = 9.2048417300363371852836314463147e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003763584237119092769372751849 x1[1] (numeric) = 2.0003746609213079107239896293967 absolute error = 1.6975024039985529476457882098733e-06 relative error = 8.4859151471684940637001056358417e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.919e+04 Order of pole = 1.273e+08 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.8MB, time=14.08 t[1] = 1.566 x2[1] (analytic) = 1.0046466183649005174706402145734 x2[1] (numeric) = 1.0046475730468112578208750953525 absolute error = 9.5468191074035023488077911571329e-07 relative error = 9.5026638550192933519253654744256e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003759822534046984981281819428 x1[1] (numeric) = 2.000374232099277404202682096086 absolute error = 1.7501541272942954460858567879165e-06 relative error = 8.7491258784399286271326201550287e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.921e+04 Order of pole = 1.275e+08 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.8MB, time=14.25 t[1] = 1.567 x2[1] (analytic) = 1.0046557328158493379990741771478 x2[1] (numeric) = 1.0046567179426691219799260278448 absolute error = 9.8512681978398085185069691359582e-07 relative error = 9.8056158702530582905068180115903e-05 % Correct digits = 6 h = 0.001 x1[1] (analytic) = 2.0003756064590797724558730816157 x1[1] (numeric) = 2.0003738028482103846713904181178 absolute error = 1.8036108693877844826634979154700e-06 relative error = 9.0163610452159332368989359385815e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.924e+04 Order of pole = 1.276e+08 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.8MB, time=14.43 memory used=320.4MB, alloc=4.9MB, time=14.60 t[1] = 1.568 x2[1] (analytic) = 1.0046648657019323217781994629511 x2[1] (numeric) = 1.0046658817914638598985846566771 absolute error = 1.0160895315381203851937260343456e-06 relative error = 0.00010113716187618504571229773683366 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003752310403613367939297371606 x1[1] (numeric) = 2.0003733731676776010273241407561 absolute error = 1.8578726837357666055964044518809e-06 relative error = 9.2876209168492774944406139445630e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.926e+04 Order of pole = 1.277e+08 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.9MB, time=14.78 t[1] = 1.569 x2[1] (analytic) = 1.0046740170598687347545643310157 x2[1] (numeric) = 1.0046750646317844421774468553221 absolute error = 1.0475719157074228825243064321544e-06 relative error = 0.00010426983259436656188744222808603 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003748559968739727625775923885 x1[1] (numeric) = 2.0003729430572493727018929076761 absolute error = 1.9129396246000606846847123891640e-06 relative error = 9.5629057667132068524374479482125e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.929e+04 Order of pole = 1.279e+08 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.9MB, time=14.95 t[1] = 1.57 x2[1] (analytic) = 1.0046831869264515426974489820757 x2[1] (numeric) = 1.0046842665022977400761150961161 absolute error = 1.0795758461973786661140403412281e-06 relative error = 0.0001074543557855327867747720339191 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003744813282426368431989909583 x1[1] (numeric) = 2.0003725125164955892310258565658 absolute error = 1.9688117470476121731343924705280e-06 relative error = 9.8422158722017244335524219583518e-05 % Correct digits = 6 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.931e+04 Order of pole = 1.280e+08 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.9MB, time=15.13 t[1] = 1.571 x2[1] (analytic) = 1.0046923753385475585582995304244 x2[1] (numeric) = 1.00469348744174868211623293928 absolute error = 1.1121032011235579334088555570488e-06 relative error = 0.00011069091678423622326087871679316 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003741070340926603732356265062 x1[1] (numeric) = 2.0003720815449857098250611192138 absolute error = 2.0254891069505481745072923086198e-06 relative error = 0.00010125551514729876853074831286788 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.934e+04 Order of pole = 1.281e+08 TOP MAIN SOLVE Loop memory used=335.6MB, alloc=4.9MB, time=15.30 t[1] = 1.572 x2[1] (analytic) = 1.0047015823330975901253633747911 x2[1] (numeric) = 1.0047027274889604109986851401481 absolute error = 1.1451558628208733217653570126787e-06 relative error = 0.00011397970133197318717832651193884 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003737331140497491715198488642 x1[1] (numeric) = 2.0003716501422887629382049959683 absolute error = 2.0829717609862333148528959581198e-06 relative error = 0.00010412912979734044045781033313789 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.936e+04 Order of pole = 1.282e+08 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.9MB, time=15.48 memory used=343.3MB, alloc=4.9MB, time=15.65 t[1] = 1.573 x2[1] (analytic) = 1.0047108079471165879741167743094 x2[1] (numeric) = 1.0047119866828344408355929810474 absolute error = 1.1787357178528614762067380428498e-06 relative error = 0.00011732089557803430823725409150381 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003733595677399831639804517021 x1[1] (numeric) = 2.000371218307973345837560374029 absolute error = 2.1412597666373264200776730791016e-06 relative error = 0.00010704300556672233097336231118705 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.939e+04 Order of pole = 1.284e+08 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.9MB, time=15.82 t[1] = 1.574 x2[1] (analytic) = 1.004720052217693793714076618632 x2[1] (numeric) = 1.0047212650623508146977356953925 absolute error = 1.2128446570209836590767604765090e-06 relative error = 0.00012071468608035656875477527400908 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003729863947898160097225672957 x1[1] (numeric) = 2.0003707860416076241717239586006 absolute error = 2.2003531821918379986086950652311e-06 relative error = 0.00010999714539024376080564630727877 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.941e+04 Order of pole = 1.285e+08 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.9MB, time=16.00 t[1] = 1.575 x2[1] (analytic) = 1.0047293151819928885325895665967 x2[1] (numeric) = 1.0047305626665682624780301152044 absolute error = 1.2474845753739454405486077127317e-06 relative error = 0.00012416125980637688245301465108613 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003726135948260747274812945031 x1[1] (numeric) = 2.0003703533427593315389518855023 absolute error = 2.2602520667431885294090008052077e-06 relative error = 0.00011299155224292631896919250775778 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.943e+04 Order of pole = 1.286e+08 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.9MB, time=16.18 t[1] = 1.576 x2[1] (analytic) = 1.004738596877252142036192915571 x2[1] (numeric) = 1.0047398795346243590717019394386 absolute error = 1.2826573722170355090238675307809e-06 relative error = 0.00012766080413388721559758944674097 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003722411674759593224486864025 x1[1] (numeric) = 2.0003699202109957690548932834024 absolute error = 2.3209564801902675554030000976750e-06 relative error = 0.00011602622914001692123486601883565 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.946e+04 Order of pole = 1.287e+08 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.9MB, time=16.36 t[1] = 1.577 x2[1] (analytic) = 1.0047478973407845613901427537052 x2[1] (numeric) = 1.004749215705735682873783289217 absolute error = 1.3183649511214836405355118785115e-06 relative error = 0.0001312135068518912527493122350638 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003718691123670424134737244172 x1[1] (numeric) = 2.000369486645883804919891353409 absolute error = 2.3824664832374935823710081499246e-06 relative error = 0.00011910117913699090865865392035532 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.948e+04 Order of pole = 1.289e+08 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.9MB, time=16.53 memory used=366.2MB, alloc=4.9MB, time=16.71 t[1] = 1.578 x2[1] (analytic) = 1.0047572166099780407567061398036 x2[1] (numeric) = 1.0047585712191979745945724873131 absolute error = 1.3546092199338378663475095908825e-06 relative error = 0.00013481955616146260940284034462555 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003714974291272688606349061289 x1[1] (numeric) = 2.0003690526469898739858515333188 absolute error = 2.4447821373948747833728100599230e-06 relative error = 0.00012221640532955518617262353682027 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.951e+04 Order of pole = 1.290e+08 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.9MB, time=16.88 t[1] = 1.579 x2[1] (analytic) = 1.0047665547222955110328152503977 x2[1] (numeric) = 1.0047679461143862963936932730329 absolute error = 1.3913920907853608780226352292389e-06 relative error = 0.00013847914067660459378693679570215 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003711261173849553931850743518 x1[1] (numeric) = 2.0003686182138799773226763133921 absolute error = 2.5079035049780705087609597102810e-06 relative error = 0.00012537191085365140124152228220927 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.953e+04 Order of pole = 1.291e+08 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.9MB, time=17.06 t[1] = 1.58 x2[1] (analytic) = 1.0047759117152750898876826308634 x2[1] (numeric) = 1.0047773404307551913333919399867 absolute error = 1.4287154801014457093091233201127e-06 relative error = 0.00014219244942511152010193437354495 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003707551767687902378681154121 x1[1] (numeric) = 2.000368183346119681784266270089 absolute error = 2.5718306491084536018453230925942e-06 relative error = 0.00012856769888545916258852883912387 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.956e+04 Order of pole = 1.293e+08 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.9MB, time=17.23 t[1] = 1.581 x2[1] (analytic) = 1.0047852876265302321009778870863 x2[1] (numeric) = 1.0047867542078388431517121631488 absolute error = 1.4665813086110507342760625280473e-06 relative error = 0.00014595967184943157547090886044557 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003703846069078327476071549484 x1[1] (numeric) = 2.0003677480432741195740868837667 absolute error = 2.6365636337131735202711817318873e-06 relative error = 0.00013180377264139929899370484167008 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.958e+04 Order of pole = 1.294e+08 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.9MB, time=17.41 t[1] = 1.582 x2[1] (analytic) = 1.0047946824937498802021673562374 x2[1] (numeric) = 1.0047961874852512363561885630664 absolute error = 1.5049915013561540212068290394869e-06 relative error = 0.00014978099780753124288196945427118 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003700144074315130305638799242 x1[1] (numeric) = 2.0003673123049079878103007059066 absolute error = 2.7021025235252202631740175945280e-06 relative error = 0.00013508013537813715816873564519486 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.961e+04 Order of pole = 1.295e+08 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.9MB, time=17.58 t[1] = 1.583 x2[1] (analytic) = 1.0048040963546986154116194996898 x2[1] (numeric) = 1.0048056403026863166387013391128 absolute error = 1.5439479877012270818394229838554e-06 relative error = 0.0001536566175737612823999639140881 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003696445779696315795686159077 x1[1] (numeric) = 2.0003668761305855480904644410011 absolute error = 2.7684473840834891041749066397224e-06 relative error = 0.00013839679039258594571158818461836 % Correct digits = 5 h = 0.001 memory used=389.1MB, alloc=4.9MB, time=17.76 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.963e+04 Order of pole = 1.297e+08 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.9MB, time=17.93 t[1] = 1.584 x2[1] (analytic) = 1.004813529247216808884079967984 x2[1] (numeric) = 1.0048151126999181516121355902804 absolute error = 1.5834527013427280556222963939771e-06 relative error = 0.00015758672183972427292677291673474 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.000369275118152358901920789053 x1[1] (numeric) = 2.000366439519870626055790507799 absolute error = 2.8355982817328461302812540153790e-06 relative error = 0.00014175374102191010414475334666169 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.966e+04 Order of pole = 1.298e+08 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.9MB, time=18.11 t[1] = 1.585 x2[1] (analytic) = 1.0048229812092207732551214970438 x2[1] (numeric) = 1.0048246047168010918694902311901 absolute error = 1.6235075803186143687341463320025e-06 relative error = 0.00016157150171514371679023240370149 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003689060276102351495594025799 x1[1] (numeric) = 2.0003660024723266109549726441701 absolute error = 2.9035552836241945867584098045385e-06 relative error = 0.0001451509906435287320407797098044 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.968e+04 Order of pole = 1.299e+08 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.9MB, time=18.28 t[1] = 1.586 x2[1] (analytic) = 1.0048324522787029144911750065581 x2[1] (numeric) = 1.0048341163932699323660827027508 absolute error = 1.6641145670178749076961927006888e-06 relative error = 0.00016561114872873470944257426704941 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003685373059741697496031579248 x1[1] (numeric) = 2.0003655649875164552075751194146 absolute error = 2.9723184577145420280385101995145e-06 relative error = 0.00014858854267511904323884493935112 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.971e+04 Order of pole = 1.300e+08 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.9MB, time=18.46 t[1] = 1.587 x2[1] (analytic) = 1.004841942493731884043749485588 x2[1] (numeric) = 1.0048436477693400741254969712552 absolute error = 1.7052756081900817474856672455689e-06 relative error = 0.00016970585482907617655011448763675 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003681689528754410352598511017 x1[1] (numeric) = 2.0003651270650026739669851174067 absolute error = 3.0418878727670682747336950181811e-06 relative error = 0.00015206640057461986615615056358234 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.973e+04 Order of pole = 1.302e+08 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.9MB, time=18.64 t[1] = 1.588 x2[1] (analytic) = 1.004851451892452731308449467024 x2[1] (numeric) = 1.0048531988851076862699236066326 absolute error = 1.7469926549549614741396086542097e-06 relative error = 0.00017385581238548468075674371957655 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003678009679456958771046751835 x1[1] (numeric) = 2.0003646887043473446829278535249 absolute error = 3.1122635983511941768216585812891e-06 relative error = 0.00015558456784023518319796530064413 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.976e+04 Order of pole = 1.303e+08 memory used=411.9MB, alloc=4.9MB, time=18.81 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.9MB, time=18.99 t[1] = 1.589 x2[1] (analytic) = 1.0048609805130870563894001115296 x2[1] (numeric) = 1.0048627697807498683755420301184 absolute error = 1.7892676628119861419185887980266e-06 relative error = 0.00017806121418888980040458823223526 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003674333508169493147270601806 x1[1] (numeric) = 2.0003642499051121066635439878834 absolute error = 3.1834457048426511830722971420905e-06 relative error = 0.00015914304801043771027018155463493 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.978e+04 Order of pole = 1.304e+08 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.9MB, time=19.16 t[1] = 1.59 x2[1] (analytic) = 1.0048705283939331631696911430512 x2[1] (numeric) = 1.0048723604965248131535963237386 absolute error = 1.8321025916499839051806873642659e-06 relative error = 0.00018232225345271108249600899548097 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003670661011215841887456819654 x1[1] (numeric) = 2.0003638106668581606370288969431 absolute error = 3.2554342634235517167850223007183e-06 relative error = 0.00016274184466397251639828915330971 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.981e+04 Order of pole = 1.306e+08 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.9MB, time=19.34 t[1] = 1.591 x2[1] (analytic) = 1.0048800955733662126884521018664 x2[1] (numeric) = 1.0048819710727719694578172987531 absolute error = 1.8754994057567693651968867157095e-06 relative error = 0.00018663912381373657218189344524043 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003666992184923507731912722561 x1[1] (numeric) = 2.0003633709891462683128333651399 absolute error = 3.3282293460824603579071161464973e-06 relative error = 0.00016638096141986068345670985898034 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.983e+04 Order of pole = 1.307e+08 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.9MB, time=19.51 t[1] = 1.592 x2[1] (analytic) = 1.0048896820898383768251726074852 x2[1] (numeric) = 1.0048916015499122056188448275613 absolute error = 1.9194600738287936722200761189674e-06 relative error = 0.00019101201933300292106196801432702 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003663327025623664082568620428 x1[1] (numeric) = 2.0003629308715367519424252577325 absolute error = 3.4018310256144658316043102524746e-06 relative error = 0.00017006040193740300601247564858291 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.986e+04 Order of pole = 1.308e+08 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.9MB, time=19.69 t[1] = 1.593 x2[1] (analytic) = 1.0048992879818789922918825525156 x2[1] (numeric) = 1.0049012519684479731063057535504 absolute error = 1.9639865689808144232010348251427e-06 relative error = 0.00019544113449667707658361977721794 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003659665529651151334150912078 x1[1] (numeric) = 2.0003624903135894938796117356307 absolute error = 3.4762393756212538033555770987473e-06 relative error = 0.00017378016991618373128727322854425 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 4.988e+04 Order of pole = 1.310e+08 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.9MB, time=19.86 memory used=438.6MB, alloc=4.9MB, time=20.04 t[1] = 1.594 x2[1] (analytic) = 1.0049089132880947149338083798598 x2[1] (numeric) = 1.004910922368963470519204005967 absolute error = 2.0090808687555853956261071960435e-06 relative error = 0.00019992666421693955482646245590435 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003656007693344473209022174546 x1[1] (numeric) = 2.0003620493148639361404215725256 absolute error = 3.5514544705111804806449290254447e-06 relative error = 0.0001775402690960743392419167250489 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.991e+04 Order of pole = 1.311e+08 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.9MB, time=20.21 t[1] = 1.595 x2[1] (analytic) = 1.0049185580471696743391228293312 x2[1] (numeric) = 1.0049206127921248079052808621217 absolute error = 2.0547449551335661580327904725314e-06 relative error = 0.00020446880383286929896061548568873 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003652353513045793095684580319 x1[1] (numeric) = 2.0003616078749190799625471342055 absolute error = 3.6274763854993470213238264132979e-06 relative error = 0.00018134070325723736278734997062021 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.993e+04 Order of pole = 1.312e+08 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.9MB, time=20.39 t[1] = 1.596 x2[1] (analytic) = 1.0049282222978656287584067759716 x2[1] (numeric) = 1.0049303232786801714100046170988 absolute error = 2.1009808145426515978411272072108e-06 relative error = 0.00020906774911133012566738476308876 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.000364870298510093039094298102 x1[1] (numeric) = 2.0003611659933134853643455794985 absolute error = 3.7043051966076747487186034604061e-06 relative error = 0.00018518147622013024812631929362266 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.996e+04 Order of pole = 1.313e+08 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.9MB, time=20.56 t[1] = 1.597 x2[1] (analytic) = 1.0049379060790221203344430210142 x2[1] (numeric) = 1.0049400538694599882558502416444 absolute error = 2.1477904378679214072206301603475e-06 relative error = 0.00021372369624785876181174001071102 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003645056105859356845723999694 x1[1] (numeric) = 2.0003607236696052707033988418427 absolute error = 3.7819409806649811735581266688915e-06 relative error = 0.00018906259184550925522989720840369 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 4.998e+04 Order of pole = 1.315e+08 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.9MB, time=20.74 t[1] = 1.598 x2[1] (analytic) = 1.0049476094295566306429631375845 x2[1] (numeric) = 1.0049498046053770920525309320524 absolute error = 2.1951758204614095677944679151500e-06 relative error = 0.00021843684186755447365667631361907 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003641412871674192914547477528 x1[1] (numeric) = 2.0003602809033521122346319500448 absolute error = 3.8603838153070568227977079754389e-06 relative error = 0.00019298405403443339845307690035912 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.001e+04 Order of pole = 1.316e+08 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.9MB, time=20.92 memory used=461.5MB, alloc=4.9MB, time=21.09 t[1] = 1.599 x2[1] (analytic) = 1.0049573323884647365449697168592 x2[1] (numeric) = 1.0049595755274268884388447816642 absolute error = 2.2431389621518938750648049365360e-06 relative error = 0.00022320738302597029091022622552772 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003637773278902204108646624461 x1[1] (numeric) = 2.0003598376941112436679892463448 absolute error = 3.9396337789767428754161013560340e-06 relative error = 0.00019694586672826842729369690226376 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.003e+04 Order of pole = 1.317e+08 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.9MB, time=21.26 t[1] = 1.6 x2[1] (analytic) = 1.0049670749948202663512576065259 x2[1] (numeric) = 1.0049693666766875210568011320465 absolute error = 2.2916818672547055435255206070645e-06 relative error = 0.00022803551721000582789655382795036 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003634137323903797352733226818 x1[1] (numeric) = 2.000359394041439455725668059463 absolute error = 4.0196909509240096052632187083662e-06 relative error = 0.00020094803390869084729899486579495 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.006e+04 Order of pole = 1.319e+08 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.9MB, time=21.44 t[1] = 1.601 x2[1] (analytic) = 1.0049768372877754562997589819954 x2[1] (numeric) = 1.0049791780943200378586924930237 absolute error = 2.3408065445815589335110282563414e-06 relative error = 0.00023292144233880170414321316769848 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003630505003043017345404268716 x1[1] (numeric) = 2.0003589499448930956989093898638 absolute error = 4.1005554112060356310370078661511e-06 relative error = 0.00020499055959769198112412884532833 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.008e+04 Order of pole = 1.320e+08 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.9MB, time=21.61 t[1] = 1.602 x2[1] (analytic) = 1.0049866193065611073463383419391 x2[1] (numeric) = 1.0049890098215685577477792545167 absolute error = 2.3905150074504014409125776880578e-06 relative error = 0.00023786535676463556667729051402127 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003626876312687542923186327674 x1[1] (numeric) = 2.0003585054040280670043451640246 absolute error = 4.1822272406872879734687427288513e-06 relative error = 0.00020907344785758206974704402983972 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.011e+04 Order of pole = 1.321e+08 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.9MB, time=21.78 t[1] = 1.603 x2[1] (analytic) = 1.004996421090486742269664773335 x2[1] (numeric) = 1.0049988618997604375532557495885 absolute error = 2.4408092736952835909762535347229e-06 relative error = 0.00024286745927381971632377278196423 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003623251249208683428214108436 x1[1] (numeric) = 2.0003580604183998287399016140609 absolute error = 4.2647065210396029197967826987607e-06 relative error = 0.00021319670279099441384410238314077 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.013e+04 Order of pole = 1.323e+08 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.9MB, time=21.96 memory used=484.4MB, alloc=4.9MB, time=22.14 t[1] = 1.604 x2[1] (analytic) = 1.0050062426789407630907900873397 x2[1] (numeric) = 1.0050087343703064393401675672169 absolute error = 2.4916913656762493774798772676061e-06 relative error = 0.00024792794908760034030009317865172 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003619629808981375079539482723 x1[1] (numeric) = 2.0003576149875633952402583386064 absolute error = 4.3479933347422676956096659059475e-06 relative error = 0.00021736032854088955533093218274652 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.016e+04 Order of pole = 1.324e+08 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.9MB, time=22.31 t[1] = 1.605 x2[1] (analytic) = 1.0050160841113906088080626859408 x2[1] (numeric) = 1.005018627274700898054951355124 absolute error = 2.5431633102892468886691831925535e-06 relative error = 0.00025304702586305835340139955923556 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003616011988384177348067406191 x1[1] (numeric) = 2.000357169111073335631862600411 absolute error = 4.4320877650821029441402080709575e-06 relative error = 0.00022156432929055949907299398345744 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.018e+04 Order of pole = 1.325e+08 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.9MB, time=22.49 t[1] = 1.606 x2[1] (analytic) = 1.0050259454273829134480082805118 x2[1] (numeric) = 1.0050285406545218895072696974805 absolute error = 2.5952271389760592614169686060397e-06 relative error = 0.0002582248896940118500716710439218 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003612397783799269335115087553 x1[1] (numeric) = 2.000356722788483773387498415669 absolute error = 4.5169898961535460130930863062474e-06 relative error = 0.00022580870926363197477039907327305 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.021e+04 Order of pole = 1.327e+08 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.9MB, time=22.66 t[1] = 1.607 x2[1] (analytic) = 1.0050358266665436644328098470722 x2[1] (numeric) = 1.005038474551431398688814999488 absolute error = 2.6478848877342560051524158055451e-06 relative error = 0.00026346174111192016965637406115334 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003608787191612446154590788408 x1[1] (numeric) = 2.0003562760193483858804099896461 absolute error = 4.6026998128587350490891946908751e-06 relative error = 0.0002300934727240747390215560365772 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.023e+04 Order of pole = 1.328e+08 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.9MB, time=22.83 t[1] = 1.608 x2[1] (analytic) = 1.005045727868578361265020469277 x2[1] (numeric) = 1.0050484290071754884297576607262 absolute error = 2.7011385971271647371914491802948e-06 relative error = 0.0002687577810867895771329000586916 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003605180208213115318788635966 x1[1] (numeric) = 2.0003558288032204039379790527305 absolute error = 4.6892176009075938998108660698082e-06 relative error = 0.00023441862397619991757026059268211 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.026e+04 Order of pole = 1.329e+08 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.9MB, time=23.01 memory used=507.3MB, alloc=4.9MB, time=23.19 t[1] = 1.609 x2[1] (analytic) = 1.0050556490732721745301439889081 x2[1] (numeric) = 1.0050584040635844683935151717326 absolute error = 2.7549903122938633711828244894042e-06 relative error = 0.00027411321102808056161556357765108 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003601576829994293127795834462 x1[1] (numeric) = 2.000355381139652611394955650584 absolute error = 4.7765433468179178239328622301490e-06 relative error = 0.00023878416736466838774088343682785 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.028e+04 Order of pole = 1.331e+08 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.9MB, time=23.36 t[1] = 1.61 x2[1] (analytic) = 1.0050655903204901052177196549322 x2[1] (numeric) = 1.0050683997625730644105201235822 absolute error = 2.8094420829591928004686500020710e-06 relative error = 0.00027952823278561675493246112777888 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003597977053352601062508664658 x1[1] (numeric) = 2.0003549330281973446462419416235 absolute error = 4.8646771379154600089248423924080e-06 relative error = 0.00024319010727449420106635037564162 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.031e+04 Order of pole = 1.332e+08 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.9MB, time=23.53 t[1] = 1.611 x2[1] (analytic) = 1.0050755516501771443615482360246 x2[1] (numeric) = 1.0050784161461405881516664782354 absolute error = 2.8644959634437901182422107668352e-06 relative error = 0.00028500304865049547257199824835903 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003594380874688262181253664461 x1[1] (numeric) = 2.0003544844684064921992285546183 absolute error = 4.9536190623340188968118278265049e-06 relative error = 0.00024763644813104904611364861990593 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.033e+04 Order of pole = 1.333e+08 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.9MB, time=23.71 t[1] = 1.612 x2[1] (analytic) = 1.0050855331023584329996983378472 x2[1] (numeric) = 1.0050884532563711071421148081555 absolute error = 2.9201540126741424164703082329775e-06 relative error = 0.00029053786135599987929738420061549 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003590788290405097520010387265 x1[1] (numeric) = 2.0003540354598314942256830587381 absolute error = 5.0433692090155263179799883602381e-06 relative error = 0.00025212319440006675151163267430166 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.036e+04 Order of pole = 1.335e+08 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.9MB, time=23.88 t[1] = 1.613 x2[1] (analytic) = 1.0050955347171394224549329453055 x2[1] (numeric) = 1.0050985111354336151161385771436 absolute error = 2.9764182941926612056318381063957e-06 relative error = 0.00029613287407851278172787082658085 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003587199296910522496232138248 x1[1] (numeric) = 2.0003535860020233421131900979403 absolute error = 5.1339276677101364331158845933539e-06 relative error = 0.00025665035058764782918594284661952 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.038e+04 Order of pole = 1.336e+08 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.9MB, time=24.06 memory used=530.2MB, alloc=4.9MB, time=24.24 t[1] = 1.614 x2[1] (analytic) = 1.005105556534706034936197491516 x2[1] (numeric) = 1.005108589825582202713694900526 absolute error = 3.0332908761677774974090100250327e-06 relative error = 0.0003017882904384320501859741379168 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003583613890615543316261092451 x1[1] (numeric) = 2.0003531360945325780161427411373 absolute error = 5.2252945289763154833681077638702e-06 relative error = 0.00026121792124026405780588898780858 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.041e+04 Order of pole = 1.337e+08 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.9MB, time=24.41 t[1] = 1.615 x2[1] (analytic) = 1.0051155985953248244618120392781 x2[1] (numeric) = 1.0051186893691562285194045917418 absolute error = 3.0907738314040575925524637260442e-06 relative error = 0.00030750431450108767211036407757568 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003580032067934753386334202026 x1[1] (numeric) = 2.0003526857369092944062845991351 absolute error = 5.3174698841809323488210674357724e-06 relative error = 0.00026582591094476310644819166918959 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.043e+04 Order of pole = 1.339e+08 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.9MB, time=24.59 t[1] = 1.616 x2[1] (analytic) = 1.0051256609393431381050114474845 x2[1] (numeric) = 1.0051288098085804904446276740426 absolute error = 3.1488692373523396162265581899921e-06 relative error = 0.00031328115077766043933453953857221 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003576453825286329727176303698 x1[1] (numeric) = 2.0003522349287031336228022588843 absolute error = 5.4104538254993499153714854894168e-06 relative error = 0.00027047432432837319848251260424189 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.046e+04 Order of pole = 1.340e+08 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.9MB, time=24.76 t[1] = 1.617 x2[1] (analytic) = 1.0051357436071892775624786841156 x2[1] (numeric) = 1.0051389511863653974533219104187 absolute error = 3.2075791761198908432263031287262e-06 relative error = 0.00031911900422610227153182203820981 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003572879159092029392176841002 x1[1] (numeric) = 2.0003517836694632874219675851369 absolute error = 5.5042464459155172500989632987493e-06 relative error = 0.00027516316605870781568374572961251 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.048e+04 Order of pole = 1.341e+08 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.9MB, time=24.94 t[1] = 1.618 x2[1] (analytic) = 1.005145846639372661046517739258 x2[1] (numeric) = 1.0051491135451071416323732820245 absolute error = 3.2669057344805858555427664762376e-06 relative error = 0.00032501808025205817812760234322871 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003569308065777185889146619483 x1[1] (numeric) = 2.0003513319587384965263294391508 absolute error = 5.5988478392220625852227974735868e-06 relative error = 0.00027989244084377044257607997343175 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.051e+04 Order of pole = 1.343e+08 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.9MB, time=25.11 t[1] = 1.619 x2[1] (analytic) = 1.0051559700764839855015138859671 x2[1] (numeric) = 1.0051592969274878706070887252947 absolute error = 3.3268510038851055748393275893015e-06 relative error = 0.00033097858470978986098015973148932 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003565740541770705605651016621 x1[1] (numeric) = 2.0003508797960770501734543636339 memory used=553.1MB, alloc=4.9MB, time=25.29 absolute error = 5.6942581000203871107380281315276e-06 relative error = 0.00028466215343195935101388435868824 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.053e+04 Order of pole = 1.344e+08 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.9MB, time=25.46 t[1] = 1.62 x2[1] (analytic) = 1.0051661139591953891453303337642 x2[1] (numeric) = 1.0051695013762758603025428206182 absolute error = 3.3874170804711572124868540115208e-06 relative error = 0.00033700072390310096013174336857954 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003562176583505064237916071803 x1[1] (numeric) = 2.000350427181026785664215782668 absolute error = 5.7904773237207595758245123433531e-06 relative error = 0.00028947230861207242500450571535581 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.056e+04 Order of pole = 1.345e+08 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.9MB, time=25.64 t[1] = 1.621 x2[1] (analytic) = 1.005176278328260614336291619126 x2[1] (numeric) = 1.0051797269343256880514715108863 absolute error = 3.4486060650737151798917602454809e-06 relative error = 0.00034308470458626394493195938236812 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003558616187416303223303885259 x1[1] (numeric) = 2.0003499741131350879106312649017 absolute error = 5.8875056065424116991236241688791e-06 relative error = 0.00029432291121331202577810890721103 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.058e+04 Order of pole = 1.347e+08 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.9MB, time=25.81 t[1] = 1.622 x2[1] (analytic) = 1.0051864632245151707664053794948 x2[1] (numeric) = 1.0051899736445784060494073164551 absolute error = 3.5104200632352830019369603588589e-06 relative error = 0.00034923073396494865283584554387053 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003555059349944026176353758423 x1[1] (numeric) = 2.0003495205919488889832473978507 absolute error = 5.9853430455136343879779915679070e-06 relative error = 0.0002992139661052898971097291178716 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.061e+04 Order of pole = 1.348e+08 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.9MB, time=25.99 t[1] = 1.623 x2[1] (analytic) = 1.0051966686888764989814754621097 x2[1] (numeric) = 1.0052002415500617151577519040625 absolute error = 3.5728611852161762764419527679241e-06 relative error = 0.00035543901969715247817933791732696 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003551506067531395328385511774 x1[1] (numeric) = 2.0003490666170146676580718206879 absolute error = 6.0839897384718747667304894340302e-06 relative error = 0.00030414547819803211089874538555927 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.064e+04 Order of pole = 1.349e+08 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.9MB, time=26.16 t[1] = 1.624 x2[1] (analytic) = 1.0052068947623441342287606263524 x2[1] (numeric) = 1.0052105306938901390554832610279 absolute error = 3.6359315460048267226346755430449e-06 relative error = 0.00036170976989413221323514033421014 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003547956336625127970661419755 x1[1] (numeric) = 2.0003486121878784489630519624584 absolute error = 6.1834457840638340141795170583747e-06 relative error = 0.00030911745244198405301102422748328 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.066e+04 Order of pole = 1.351e+08 memory used=576.0MB, alloc=4.9MB, time=26.34 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.9MB, time=26.51 t[1] = 1.625 x2[1] (analytic) = 1.0052171414859998706328344082993 x2[1] (numeric) = 1.0052208411192651987401961226437 absolute error = 3.6996332653281073617143444133889e-06 relative error = 0.00036804319312133754385229798270325 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003544410153675492901103205926 x1[1] (numeric) = 2.0003481573040858037241000321951 absolute error = 6.2837112817455660102883974867036e-06 relative error = 0.00031412989382801544938902185258925 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.069e+04 Order of pole = 1.352e+08 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.9MB, time=26.69 t[1] = 1.626 x2[1] (analytic) = 1.0052274089010079257003030288057 x2[1] (numeric) = 1.0052311728694755873791757000394 absolute error = 3.7639684676616788726712336604896e-06 relative error = 0.00037443949839934620198305069335119 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003540867515136306874560545075 x1[1] (numeric) = 2.000347701965181848110663806962 absolute error = 6.3847863317825767922475454875066e-06 relative error = 0.0003191828073874254324351731257612 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.071e+04 Order of pole = 1.353e+08 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.9MB, time=26.86 t[1] = 1.627 x2[1] (analytic) = 1.0052376970486151051540395416975 x2[1] (numeric) = 1.0052415259878973455112061579801 absolute error = 3.8289392822403571666162826319606e-06 relative error = 0.00038089889520480077740079955004734 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003537328417464931056627522553 x1[1] (numeric) = 2.0003472461707112431808427633951 absolute error = 6.4866710352499248199888602015298e-06 relative error = 0.00032427619819194764767393511743752 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.074e+04 Order of pole = 1.355e+08 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.9MB, time=27.04 t[1] = 1.628 x2[1] (analytic) = 1.0052480059701509680975937365366 x2[1] (numeric) = 1.0052519005179940365998166970447 absolute error = 3.8945478430685022229605080272772e-06 relative error = 0.00038742159347134719091326216984364 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003533792857122267481003504649 x1[1] (numeric) = 2.0003467899202181944260490978569 absolute error = 6.5893654940323220512526079954939e-06 relative error = 0.00032941007135375540069789275004397 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.076e+04 Order of pole = 1.356e+08 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.9MB, time=27.21 t[1] = 1.629 x2[1] (analytic) = 1.0052583357070279925104386309534 x2[1] (numeric) = 1.0052622965033169229386695024281 absolute error = 3.9607962889304282308714747578395e-06 relative error = 0.00039400780359057483137511728145119 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003530260830572755510394877363 x1[1] (numeric) = 2.0003463332132464513152131798657 absolute error = 6.6928698108242358263078705953064e-06 relative error = 0.00033458443202546684440337373669352 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.079e+04 Order of pole = 1.358e+08 memory used=598.9MB, alloc=4.9MB, time=27.39 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.9MB, time=27.56 t[1] = 1.63 x2[1] (analytic) = 1.0052686863007417410747157107045 x2[1] (numeric) = 1.005272713987505141909795232231 absolute error = 4.0276867634008350795215264147794e-06 relative error = 0.00040065773641295835880464799653091 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003526732334284368300954114481 x1[1] (numeric) = 2.0003458760493393068385329830048 absolute error = 6.7971840891299915624284432277074e-06 relative error = 0.00033979928540015020652105969829324 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.081e+04 Order of pole = 1.359e+08 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.9MB, time=27.74 t[1] = 1.631 x2[1] (analytic) = 1.0052790577928710273341424014405 x2[1] (numeric) = 1.005283153014285882595383131541 absolute error = 4.0952214148552612407301005422127e-06 relative error = 0.00040737160324880117590908531537349 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003523207364728609270252639396 x1[1] (numeric) = 2.0003454184280395970507670370623 absolute error = 6.9023084332638762582268772548037e-06 relative error = 0.00034505463671132905744712004256845 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.084e+04 Order of pole = 1.360e+08 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.9MB, time=27.92 t[1] = 1.632 x2[1] (analytic) = 1.0052894502250780821857465846318 x2[1] (numeric) = 1.0052936136274745627438342748862 absolute error = 4.1634023964805580876902543635847e-06 relative error = 0.00041414961586918057032352884435831 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003519685918380508568783948635 x1[1] (numeric) = 2.0003449603488897006140704446918 absolute error = 7.0082429483502428079501716441595e-06 relative error = 0.00035035049123298761838043489260194 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.086e+04 Order of pole = 1.362e+08 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.9MB, time=28.09 t[1] = 1.633 x2[1] (analytic) = 1.0052998636391087207050943012418 x2[1] (numeric) = 1.0053040958709750060907878587455 absolute error = 4.2322318662853856935575036978417e-06 relative error = 0.00042099198650689452986848033129639 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003516167991718619554993468606 x1[1] (numeric) = 2.000344501811431538340373505433 absolute error = 7.1149877403236151258414275788287e-06 relative error = 0.00035568685427957610977151306332866 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.089e+04 Order of pole = 1.363e+08 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.9MB, time=28.27 t[1] = 1.634 x2[1] (analytic) = 1.0053102980767925093056781205259 x2[1] (numeric) = 1.0053145997887796200358318877577 absolute error = 4.3017119871107301537672318845371e-06 relative error = 0.00042789892785741023313116735064701 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003512653581225015273831620589 x1[1] (numeric) = 2.0003440428152065727333024894683 absolute error = 7.2225429159287940806725905777435e-06 relative error = 0.00036106373120601614008875080206036 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.091e+04 Order of pole = 1.364e+08 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.9MB, time=28.44 memory used=625.6MB, alloc=4.9MB, time=28.62 t[1] = 1.635 x2[1] (analytic) = 1.0053207535800429332331349878073 x2[1] (numeric) = 1.0053251254249695736756110230642 absolute error = 4.3718449266404424760352569674821e-06 relative error = 0.00043487065307981421767595919750086 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003509142683385284938826572526 x1[1] (numeric) = 2.0003435833597558075296421030379 absolute error = 7.3309085827209642405542146680286e-06 relative error = 0.00036648112740770613490771673357913 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.094e+04 Order of pole = 1.366e+08 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.9MB, time=28.79 t[1] = 1.636 x2[1] (analytic) = 1.0053312301908575643949637042197 x2[1] (numeric) = 1.0053356728237149761940457888742 absolute error = 4.4426328574117990820846545207571e-06 relative error = 0.0004419073757977642281892846806023 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003505635294688530417673159682 x1[1] (numeric) = 2.0003431234446197872403391869748 absolute error = 7.4400848490658014281289934279010e-06 relative error = 0.0003719390483205268063291881816693 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.097e+04 Order of pole = 1.367e+08 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.9MB, time=28.96 t[1] = 1.637 x2[1] (analytic) = 1.0053417279513182295264135332317 x2[1] (numeric) = 1.0053462420292750556103787638523 absolute error = 4.5140779568260839652306206950729e-06 relative error = 0.0004490093101004427468645519436003 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003502131411627362721334459765 x1[1] (numeric) = 2.0003426630693385966910471893634 absolute error = 7.5500718241395810862566131026504e-06 relative error = 0.00037743749942084666273170377719216 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.099e+04 Order of pole = 1.368e+08 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.9MB, time=29.13 t[1] = 1.638 x2[1] (analytic) = 1.0053522469035911786932167732755 x2[1] (numeric) = 1.0053568330859983378857648173011 absolute error = 4.5861824071591925480440256736036e-06 relative error = 0.00045617667054351220833264359283878 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003498631030697898496652511605 x1[1] (numeric) = 2.000342202233451860562210952867 absolute error = 7.6608696179292874542982934875821e-06 relative error = 0.00038297648622552755886443700798503 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.102e+04 Order of pole = 1.370e+08 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.9MB, time=29.31 t[1] = 1.639 x2[1] (analytic) = 1.0053627870899272541318394830065 x2[1] (numeric) = 1.0053674460383228263891238863586 absolute error = 4.6589483955722572844033521122189e-06 relative error = 0.00046340967215007190144361617158807 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003495134148399756522464670009 x1[1] (numeric) = 2.000341740936498742928691356808 absolute error = 7.7724783412327235551101928715620e-06 relative error = 0.0003885560142919302862862351180214 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.104e+04 Order of pole = 1.371e+08 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.9MB, time=29.49 memory used=648.5MB, alloc=4.9MB, time=29.66 t[1] = 1.64 x2[1] (analytic) = 1.0053733485526620594279258956137 x2[1] (numeric) = 1.0053780809307761817229762295504 absolute error = 4.7323781141222950503339366579264e-06 relative error = 0.0004707085304116165602052712965509 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003491640761236054209222092897 x1[1] (numeric) = 2.0003412791780179467989293536257 absolute error = 7.8848981056586219928556640437348e-06 relative error = 0.00039417608921792020415670752244129 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.107e+04 Order of pole = 1.373e+08 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.9MB, time=29.83 t[1] = 1.641 x2[1] (analytic) = 1.0053839313342161290336134112051 x2[1] (numeric) = 1.0053887378079759019099815340408 absolute error = 4.8064737597728763681228356504535e-06 relative error = 0.00047807346128899664618428646421553 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003488150865713404102106860347 x1[1] (numeric) = 2.0003408169575477136536489388756 absolute error = 7.9981290236267565617471591849038e-06 relative error = 0.00039983671664187291038528767128701 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.109e+04 Order of pole = 1.374e+08 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.9MB, time=30.01 t[1] = 1.642 x2[1] (analytic) = 1.0053945354770950981243964115968 x2[1] (numeric) = 1.0053994167146295029409046988158 absolute error = 4.8812375344048165082872189751008e-06 relative error = 0.0004855046812133803246755965432429 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003484664458341910387644228663 x1[1] (numeric) = 2.0003403542746258229840985934739 absolute error = 8.1121712083680546658293923947782e-06 relative error = 0.00040553790224267995314423206809658 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.112e+04 Order of pole = 1.375e+08 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.9MB, time=30.19 t[1] = 1.643 x2[1] (analytic) = 1.0054051610238898727962184998587 x2[1] (numeric) = 1.0054101176955346996847325638178 absolute error = 4.9566716448268885140639591108688e-06 relative error = 0.00049300240708721713694570219522807 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003481181535635165403806526072 x1[1] (numeric) = 2.0003398911287895918298307364276 absolute error = 8.2270247739247105499161796476187e-06 relative error = 0.00041127965173975458275155992995326 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.114e+04 Order of pole = 1.377e+08 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.9MB, time=30.36 t[1] = 1.644 x2[1] (analytic) = 1.0054158080172768006034741277058 x2[1] (numeric) = 1.0054208407955795871616673057319 absolute error = 5.0327783027865581931780260677066e-06 relative error = 0.00050056685628520337085554881012764 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003477702094110246153605200168 x1[1] (numeric) = 2.0003394275195758743160187258296 absolute error = 8.3426898351502993417941871225574e-06 relative error = 0.00041706197089303754392997676320201 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.117e+04 Order of pole = 1.378e+08 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.9MB, time=30.54 memory used=671.4MB, alloc=4.9MB, time=30.71 t[1] = 1.645 x2[1] (analytic) = 1.005426476500017841438601937291 x2[1] (numeric) = 1.0054315860597428221797236747144 absolute error = 5.1095597249807411217374234925766e-06 relative error = 0.00050819824665524913216856890424949 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003474226130287710822167530672 x1[1] (numeric) = 2.0003389634465210611903109454371 absolute error = 8.4591665077098919058076301218435e-06 relative error = 0.00042288486550300290844786492385931 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.120e+04 Order of pole = 1.379e+08 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.9MB, time=30.89 t[1] = 1.646 x2[1] (analytic) = 1.0054371665149607387539535101454 x2[1] (numeric) = 1.0054423535330938053356587028525 absolute error = 5.1870181330665817051927071086274e-06 relative error = 0.00051589679651944711884941220740539 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003470753640691595297294524615 x1[1] (numeric) = 2.0003384989091610793592215136854 absolute error = 8.5764549080801705079387761712855e-06 relative error = 0.00042874834141066394814846403380036 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.122e+04 Order of pole = 1.381e+08 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.9MB, time=31.06 t[1] = 1.647 x2[1] (analytic) = 1.0054478781050391911266225849432 x2[1] (numeric) = 1.0054531432607928633809639745574 absolute error = 5.2651557536722543413896141986075e-06 relative error = 0.00052366272467504310065880076067023 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003467284621849409693496514469 x1[1] (numeric) = 2.0003380339070313914240571515295 absolute error = 8.6945551535495452924999173930309e-06 relative error = 0.00043465240449757904837340393314309 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.125e+04 Order of pole = 1.382e+08 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.9MB, time=31.24 t[1] = 1.648 x2[1] (analytic) = 1.0054586113132730241669211774334 x2[1] (numeric) = 1.0054639552880914319536520114358 absolute error = 5.3439748184077867308340024169309e-06 relative error = 0.00053149625039540810634984115580399 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003463819070292134879502983282 x1[1] (numeric) = 2.0003375684396669952163797450393 absolute error = 8.8134673622182715705532888523629e-06 relative error = 0.0004405970606858576617867926659006 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.127e+04 Order of pole = 1.384e+08 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.9MB, time=31.42 t[1] = 1.649 x2[1] (analytic) = 1.0054693661827683627711904102979 x2[1] (numeric) = 1.0054747896603322386765697894461 absolute error = 5.4234775638759053793791481794750e-06 relative error = 0.00053939759343101232077100246999131 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003460356982554219009243144329 x1[1] (numeric) = 2.0003371025066024233330041382116 absolute error = 8.9331916529985679201762213082061e-06 relative error = 0.00044658231593816630260610181997931 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.130e+04 Order of pole = 1.385e+08 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.9MB, time=31.59 memory used=694.2MB, alloc=4.9MB, time=31.77 t[1] = 1.65 x2[1] (analytic) = 1.0054801427567178037196352378594 x2[1] (numeric) = 1.005485646422949486622973874349 absolute error = 5.5036662316829033386364896019146e-06 relative error = 0.00054736697401040069418082638294702 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003456898355173574056293806241 x1[1] (numeric) = 2.0003366361073717426705306909955 absolute error = 9.0537281456147350986896286423358e-06 relative error = 0.00045260817625773458124613137399696 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.132e+04 Order of pole = 1.386e+08 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.9MB, time=31.94 t[1] = 1.651 x2[1] (analytic) = 1.0054909410784005886198736304858 x2[1] (numeric) = 1.0054965256214690381501031326026 absolute error = 5.5845430684495302295021168025779e-06 relative error = 0.00055540461284117026607927530501603 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003453443184691572351791058073 x1[1] (numeric) = 2.0003361692415085539594121370651 absolute error = 9.1750769606032757669687422056874e-06 relative error = 0.00045867464768836127938237604222031 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.135e+04 Order of pole = 1.388e+08 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.9MB, time=32.12 t[1] = 1.652 x2[1] (analytic) = 1.0055017611911827771968921662235 x2[1] (numeric) = 1.0055074273015085991014864489372 absolute error = 5.6661103258219045942827137215951e-06 relative error = 0.0005635107311109492058604449916409 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003449991467653043125802312226 x1[1] (numeric) = 2.0003357019085459912975542754062 absolute error = 9.2972382193130150259558164024779e-06 relative error = 0.00046478173631442046544015495521453 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.137e+04 Order of pole = 1.389e+08 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.9MB, time=32.29 t[1] = 1.653 x2[1] (analytic) = 1.0055126031385174209301013626433 x2[1] (numeric) = 1.0055183515087779033787243588842 absolute error = 5.7483702604824486229962408023621e-06 relative error = 0.00057168555048837757259116996804292 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003446543200606269052155246577 x1[1] (numeric) = 2.0003352341080167216834500293157 absolute error = 9.4202120439052217654953420348887e-06 relative error = 0.00047092944826086765051590636759208 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.140e+04 Order of pole = 1.391e+08 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.9MB, time=32.47 t[1] = 1.654 x2[1] (analytic) = 1.0055234669639447370381854701122 x2[1] (numeric) = 1.0055292982890788978834849845295 absolute error = 5.8313251341608452995144173026858e-06 relative error = 0.00057992929312408979621983303430662 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003443098380102982796720190671 x1[1] (numeric) = 2.0003347658394529445488464059508 absolute error = 9.5439985573537308256131162536373e-06 relative error = 0.0004771177896932459847370889455864 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.143e+04 Order of pole = 1.392e+08 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.9MB, time=32.64 memory used=717.1MB, alloc=4.9MB, time=32.82 t[1] = 1.655 x2[1] (analytic) = 1.0055343527110922828124428387058 x2[1] (numeric) = 1.0055402676883059278304561447218 absolute error = 5.9149772136450180133060160207480e-06 relative error = 0.0005882421816516988825194540609982 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003439657002698363569142504229 x1[1] (numeric) = 2.0003342971023863912909438890925 absolute error = 9.6685978834450659703613304036851e-06 relative error = 0.00048334676681769249406717105609214 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.145e+04 Order of pole = 1.393e+08 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.9MB, time=33.00 t[1] = 1.656 x2[1] (analytic) = 1.0055452604236751302993143647712 x2[1] (numeric) = 1.0055512597524459224319969968934 absolute error = 5.9993287707921326826321222053293e-06 relative error = 0.00059662443918878234406887811429302 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003436219064951033678021499729 x1[1] (numeric) = 2.0003338278963483248041277973233 absolute error = 9.7940101467785636743526496204203e-06 relative error = 0.00048961638588094435756222935534704 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.148e+04 Order of pole = 1.395e+08 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.9MB, time=33.17 t[1] = 1.657 x2[1] (analytic) = 1.0055561901454960413327989197262 x2[1] (numeric) = 1.005562274527578580955234056559 absolute error = 6.0843820825396224351368327413913e-06 relative error = 0.00060507628933786985957560856221676 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003432784563423055089532464224 x1[1] (numeric) = 2.0003333582208695390112311393517 absolute error = 9.9202354727664977221070707207087e-06 relative error = 0.00049592665317034522508571785961783 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.150e+04 Order of pole = 1.396e+08 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.9MB, time=33.35 t[1] = 1.658 x2[1] (analytic) = 1.0055671419204456429174560630603 x2[1] (numeric) = 1.005573312059876559152347932442 absolute error = 6.1701394309162348918693817327115e-06 relative error = 0.00061359795618743266384353710448298 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003429353494679925989488339018 x1[1] (numeric) = 2.0003328880754803583943284977441 absolute error = 1.0047273987634204620336157746054e-05 relative error = 0.00050227757501385157548800857213212 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.153e+04 Order of pole = 1.398e+08 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.9MB, time=33.52 t[1] = 1.659 x2[1] (analytic) = 1.0055781157925026029626977436777 x2[1] (numeric) = 1.0055843723956056560647986100524 absolute error = 6.2566031030531021008663747151109e-06 relative error = 0.00062218966431287467068850953157125 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003425925855290577348837619277 x1[1] (numeric) = 2.0003324174597106375250604718603 absolute error = 1.0175125818420209823290067452553e-05 relative error = 0.00050866915778003911525734464010732 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.155e+04 Order of pole = 1.399e+08 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.9MB, time=33.70 t[1] = 1.66 x2[1] (analytic) = 1.0055891118057338063690720987107 x2[1] (numeric) = 1.005595455581125001202238614407 memory used=740.0MB, alloc=4.9MB, time=33.87 absolute error = 6.3437753911948331665156962999892e-06 relative error = 0.00063085163877752533110433334774657 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003422501641827369492595039049 x1[1] (numeric) = 2.0003319463730897605944882103148 absolute error = 1.0303791092976354771293590105199e-05 relative error = 0.00051510140787810921764888692310347 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.158e+04 Order of pole = 1.400e+08 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.9MB, time=34.05 t[1] = 1.661 x2[1] (analytic) = 1.0056001300042945314672438667242 x2[1] (numeric) = 1.0056065616628872420968648834497 absolute error = 6.4316585927106296210167254421865e-06 relative error = 0.00063958410513363422898148108085629 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003419080850866088672201610646 x1[1] (numeric) = 2.0003314748151466409424775628205 absolute error = 1.0433269939967924742598244123139e-05 relative error = 0.00052157433175789540229857476910853 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.161e+04 Order of pole = 1.402e+08 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.9MB, time=34.22 t[1] = 1.662 x2[1] (analytic) = 1.0056111704324286268103773428537 x2[1] (numeric) = 1.0056176906874387322339616876028 absolute error = 6.5202550101054235843447491232013e-06 relative error = 0.00064838728942336741668037104171075 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003415663478985943641310590733 x1[1] (numeric) = 2.0003310027854097205866123807968 absolute error = 1.0563562488873777518678276438661e-05 relative error = 0.00052808793590986985532856171778796 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.163e+04 Order of pole = 1.403e+08 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.9MB, time=34.40 t[1] = 1.663 x2[1] (analytic) = 1.0056222331344686883206292168511 x2[1] (numeric) = 1.0056288427014197193593884377605 absolute error = 6.6095669510310387592209094158158e-06 relative error = 0.00065726141817980549276071537998446 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003412249522769562234995948913 x1[1] (numeric) = 2.0003305302834069697506364956574 absolute error = 1.0694668869986472863099233876616e-05 relative error = 0.00053464222686514998995102678123456 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.166e+04 Order of pole = 1.405e+08 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.9MB, time=34.57 t[1] = 1.664 x2[1] (analytic) = 1.0056333181548362367904600512899 x2[1] (numeric) = 1.0056400177515645341647677339409 absolute error = 6.6995967282973743076826510252878e-06 relative error = 0.0006662067184279434241680134037598 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003408838978802987952379918023 x1[1] (numeric) = 2.0003300573086658863924239032179 absolute error = 1.0826589214412402814088584433640e-05 relative error = 0.00054123721119550504757720189137635 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.168e+04 Order of pole = 1.406e+08 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.9MB, time=34.74 t[1] = 1.665 x2[1] (analytic) = 1.0056444255380418957394745762769 x2[1] (numeric) = 1.0056512158847017793511305197337 absolute error = 6.7903466598836116559434568622753e-06 relative error = 0.00067522341768569211517783617753895 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.000340543184367567654267620876 x1[1] (numeric) = 2.0003295838607134957314766821949 absolute error = 1.0959323654071922790938681038651e-05 relative error = 0.00054787289551336273943849604997805 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.171e+04 Order of pole = 1.407e+08 memory used=762.9MB, alloc=4.9MB, time=34.92 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.9MB, time=35.09 t[1] = 1.666 x2[1] (analytic) = 1.0056555553286855696275023989698 x2[1] (numeric) = 1.0056624371477545190717767236382 absolute error = 6.8818190689494442743246683711490e-06 relative error = 0.00068431174396488172539809627979787 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003402028113980492594645474679 x1[1] (numeric) = 2.0003291099390763497759501742937 absolute error = 1.1092872321699483514373174208530e-05 relative error = 0.00055454928647181592872663667194248 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.174e+04 Order of pole = 1.409e+08 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.9MB, time=35.27 t[1] = 1.667 x2[1] (analytic) = 1.0056667075714566224246321509868 x2[1] (numeric) = 1.0056736815877404687551112873724 absolute error = 6.9740162838463304791363855926468e-06 relative error = 0.00069347192577226673912902417654501 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003398627786313706129459617029 x1[1] (numeric) = 2.0003286355432805268492049529089 absolute error = 1.1227235350843763741008793976356e-05 relative error = 0.00056126639076462935325978857542059 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.176e+04 Order of pole = 1.410e+08 TOP MAIN SOLVE Loop memory used=774.3MB, alloc=4.9MB, time=35.44 t[1] = 1.668 x2[1] (analytic) = 1.0056778823111340565389135244401 x2[1] (numeric) = 1.0056849492517721853082170032697 absolute error = 7.0669406381287693034788296610271e-06 relative error = 0.00070270419211053278838007984203031 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003395230857274989196971522281 x1[1] (numeric) = 2.0003281606728516311158851069925 absolute error = 1.1362412875867803812045235565079e-05 relative error = 0.00056802421512624638868165104310969 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.179e+04 Order of pole = 1.412e+08 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.9MB, time=35.62 t[1] = 1.669 x2[1] (analytic) = 1.0056890795925866921024430778264 x2[1] (numeric) = 1.0056962401870572577019271079544 absolute error = 7.1605944705655994840301280028346e-06 relative error = 0.00071200877247930523184251492144863 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003391837323467412475386828617 x1[1] (numeric) = 2.0003276853273147921075223661642 absolute error = 1.1498405031949140016316697507611e-05 relative error = 0.00057482276633179585220057335809734 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.181e+04 Order of pole = 1.413e+08 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.9MB, time=35.79 t[1] = 1.67 x2[1] (analytic) = 1.0057002994607733466165511263743 x2[1] (numeric) = 1.0057075544408984979381621076246 absolute error = 7.2549801251513216109812502977134e-06 relative error = 0.00072138589687615949211576677247258 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003388447181497441874334321061 x1[1] (numeric) = 2.0003272095061946642476655926709 absolute error = 1.1635211955079939767839435276094e-05 relative error = 0.00058166205119709884687576920473033 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.184e+04 Order of pole = 1.414e+08 memory used=785.8MB, alloc=4.9MB, time=35.97 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.9MB, time=36.14 t[1] = 1.671 x2[1] (analytic) = 1.0057115419607430149568084676804 x2[1] (numeric) = 1.005718892060694132400296841462 absolute error = 7.3500999511174434883737816627661e-06 relative error = 0.00073083579579763315348531103157312 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003385060427974935141331558314 x1[1] (numeric) = 2.0003267332090154263765351653234 absolute error = 1.1772833782067137597990507979148e-05 relative error = 0.0005885420765786756464577503202927 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.187e+04 Order of pole = 1.416e+08 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.9MB, time=36.32 t[1] = 1.672 x2[1] (analytic) = 1.0057228071376350497385731325789 x2[1] (numeric) = 1.0057302530939379935873253239478 absolute error = 7.4459563029438487521913689129025e-06 relative error = 0.00074035870024023982254902381573764 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003381677059513138471642337755 x1[1] (numeric) = 2.0003262564353007812752017800652 absolute error = 1.1911270650532571962453710317193e-05 relative error = 0.00059546284937375262079013978680126 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.189e+04 Order of pole = 1.417e+08 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.9MB, time=36.49 t[1] = 1.673 x2[1] (analytic) = 1.0057340950366793420437987931798 x2[1] (numeric) = 1.0057416375882197122325924441963 absolute error = 7.5425515403701887936510165133500e-06 relative error = 0.00074995484170148475398850817832698 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003378297072728683121522608481 x1[1] (numeric) = 2.0003257791845739551892891913513 absolute error = 1.2050522698913122863069496753157e-05 relative error = 0.00060242437652026920178006536400901 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.192e+04 Order of pole = 1.419e+08 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.9MB, time=36.66 t[1] = 1.674 x2[1] (analytic) = 1.0057454057031965025098279048871 x2[1] (numeric) = 1.0057530455912249098078631408285 absolute error = 7.6398880284072980352359413606880e-06 relative error = 0.00075962445218088224378122187693368 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003374920464241582024851445611 x1[1] (numeric) = 2.0003253014563576973522004180414 absolute error = 1.2190590066460850284726519759989e-05 relative error = 0.00060942666499688488994437328478519 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.194e+04 Order of pole = 1.420e+08 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.9MB, time=36.84 t[1] = 1.675 x2[1] (analytic) = 1.0057567391825980427808941069798 x2[1] (numeric) = 1.0057644771507353914135012144 absolute error = 7.7379681373486326071074201898585e-06 relative error = 0.00076936776418097479214860476827393 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003371547230675226413143702504 x1[1] (numeric) = 2.0003248232501742795078669370314 absolute error = 1.2331472893243133447433219048024e-05 relative error = 0.00061646972182298630153894296245186 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.197e+04 Order of pole = 1.421e+08 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.9MB, time=37.01 memory used=812.5MB, alloc=4.9MB, time=37.19 t[1] = 1.676 x2[1] (analytic) = 1.0057680955203865573230598570069 x2[1] (numeric) = 1.0057759323146293390555314859875 absolute error = 7.8367942427817324716289805918081e-06 relative error = 0.00077918501070835403853474410697955 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003368177368656382438940960886 x1[1] (numeric) = 2.0003243445655454954330203873747 absolute error = 1.2473171320142810873708713855417e-05 relative error = 0.00062355355405869425627842309644006 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.200e+04 Order of pole = 1.423e+08 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.9MB, time=37.37 t[1] = 1.677 x2[1] (analytic) = 1.0057794747621559056033167278204 x2[1] (numeric) = 1.0057874111308815053103605602171 absolute error = 7.9363687255997070438323967257177e-06 relative error = 0.00078907642527468347090943457781811 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003364810874815187802577402289 x1[1] (numeric) = 2.0003238654019926604589863071632 absolute error = 1.2615685488858321271433065704198e-05 relative error = 0.00063067816880487090565374970782016 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.202e+04 Order of pole = 1.424e+08 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.9MB, time=37.54 t[1] = 1.678 x2[1] (analytic) = 1.0057908769535913946335772525506 x2[1] (numeric) = 1.0057989136475634073779330038048 absolute error = 8.0366939720127443557512542079338e-06 relative error = 0.00079904224189772291168878692007237 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003361447745785148382317227565 x1[1] (numeric) = 2.000323385759036610992999424962 absolute error = 1.2759015541903845232297794483948e-05 relative error = 0.00063784357320312690185484668990086 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.205e+04 Order of pole = 1.426e+08 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.9MB, time=37.72 t[1] = 1.679 x2[1] (analytic) = 1.0058023021404699618802886622292 x2[1] (numeric) = 1.005810439912843521524101306575 absolute error = 8.1377723735596438126443457442609e-06 relative error = 0.00080908269510235478256581439381757 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003358087978203134867860254609 x1[1] (numeric) = 2.0003229056361977040390400271146 absolute error = 1.2903161622609447745998346325438e-05 relative error = 0.00064504977443582860730594952121486 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.207e+04 Order of pole = 1.427e+08 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.9MB, time=37.89 t[1] = 1.68 x2[1] (analytic) = 1.0058137503686603585404003230836 x2[1] (numeric) = 1.0058219899749874779129895509338 absolute error = 8.2396063271193725892278502315211e-06 relative error = 0.00081919801992161215054267997545352 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003354731568709379397212327797 x1[1] (numeric) = 2.0003224250329958167181909217523 absolute error = 1.3048123875121221530311027468549e-05 relative error = 0.00065229677972610534482103285885667 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.210e+04 Order of pole = 1.429e+08 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.9MB, time=38.07 memory used=835.4MB, alloc=4.9MB, time=38.24 t[1] = 1.681 x2[1] (analytic) = 1.0058252216841233331844181457718 x2[1] (numeric) = 1.0058335638823582558301322779055 absolute error = 8.3421982349226457141321336773205e-06 relative error = 0.00082938845189770855745551893843339 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003351378513947472196917176012 x1[1] (numeric) = 2.0003219439489503457885145198669 absolute error = 1.3193902444401431177197734213374e-05 relative error = 0.00065958459633785668838686280934595 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.213e+04 Order of pole = 1.430e+08 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.9MB, time=38.42 t[1] = 1.682 x2[1] (analytic) = 1.0058367161329118157672807070106 x2[1] (numeric) = 1.0058451616834163792971716031014 absolute error = 8.4455505045635298908960907636490e-06 relative error = 0.00083965422708306963528196125857814 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003348028810564358225646359484 x1[1] (numeric) = 2.0003214623835802071644495533233 absolute error = 1.3340497476228658115082625071235e-05 relative error = 0.00066691323157575979458123476199616 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.215e+04 Order of pole = 1.431e+08 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.9MB, time=38.59 t[1] = 1.683 x2[1] (analytic) = 1.0058482337611711020077932951665 x2[1] (numeric) = 1.0058567834267201130788972043881 absolute error = 8.5496655490110711039092216009399e-06 relative error = 0.00084999558204136650952066596511602 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003344682455210333821143949046 x1[1] (numeric) = 2.0003209803364038354357269492072 absolute error = 1.3487909117197946387445697404363e-05 relative error = 0.00067428269278527677463399776621204 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.218e+04 Order of pole = 1.433e+08 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.9MB, time=38.77 t[1] = 1.684 x2[1] (analytic) = 1.0058597746151390381373575654441 x2[1] (numeric) = 1.0058684291609256590834153745537 absolute error = 8.6545457866209460578091095759415e-06 relative error = 0.00086041275384855099293134502161998 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003341339444539043350522584731 x1[1] (numeric) = 2.000320497806939183385804379426 absolute error = 1.3636137514720949247879047159975e-05 relative error = 0.00068169298735266210713850653925719 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.220e+04 Order of pole = 1.434e+08 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.9MB, time=38.95 t[1] = 1.685 x2[1] (analytic) = 1.005871338741146206018735967323 x2[1] (numeric) = 1.0058800989347873531562349069566 absolute error = 8.7601936411471374989396335814482e-06 relative error = 0.00087090598009389257192289744785241 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003337999775207475863907564025 x1[1] (numeric) = 2.0003200147947037215098190039957 absolute error = 1.3785182817026076571752406767215e-05 relative error = 0.00068914412270497009142118230486365 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.223e+04 Order of pole = 1.436e+08 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.9MB, time=39.12 memory used=858.3MB, alloc=4.9MB, time=39.30 t[1] = 1.686 x2[1] (analytic) = 1.0058829261856161086355915868645 x2[1] (numeric) = 1.0058917927971578622690591599763 absolute error = 8.8666115417536334675731117215778e-06 relative error = 0.00088147549888101718787639506622568 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003334663443875961751425613404 x1[1] (numeric) = 2.0003195312992144375320579259675 absolute error = 1.3935045173158643084635372874788e-05 relative error = 0.00069663610631006234157690378563693 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.226e+04 Order of pole = 1.437e+08 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.9MB, time=39.47 t[1] = 1.687 x2[1] (analytic) = 1.0058945369950653559535455294465 x2[1] (numeric) = 1.0059035107969883821040752270807 absolute error = 8.9738019230261505296976342066829e-06 relative error = 0.0008921215488289478156887593567411 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.000333133044720816940353500016 x1[1] (numeric) = 2.0003190473199878359229458754636 absolute error = 1.4085724732981017407624552363867e-05 relative error = 0.00070416894567661532117798980357937 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.228e+04 Order of pole = 1.439e+08 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.9MB, time=39.64 t[1] = 1.688 x2[1] (analytic) = 1.0059061712161038511534954543866 x2[1] (numeric) = 1.0059152529833288350345327234876 absolute error = 9.0817672249838810372691009817037e-06 relative error = 0.00090284436907314684182204431301067 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003328000781871101874693644827 x1[1] (numeric) = 2.0003185628565399374155496398107 absolute error = 1.4237221647172771919724671975832e-05 relative error = 0.00071174264835412791866457508325131 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.231e+04 Order of pole = 1.440e+08 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.9MB, time=39.82 t[1] = 1.689 x2[1] (analytic) = 1.0059178288954349772379403617934 x2[1] (numeric) = 1.0059270194053280685024062877284 absolute error = 9.1905098930912644659259350661994e-06 relative error = 0.00091364419926656024414229278995678 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003324674444535093550361897893 x1[1] (numeric) = 2.0003180779083862785215987562754 absolute error = 1.4389536067230833437433513948448e-05 relative error = 0.00071935722193292906342422100115086 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.233e+04 Order of pole = 1.442e+08 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.9MB, time=39.99 t[1] = 1.69 x2[1] (analytic) = 1.005929510079855784011058223843 x2[1] (numeric) = 1.005938810112234053793937486939 absolute error = 9.3000323782697828792630960195799e-06 relative error = 0.00092452127958066357583096350122242 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003321351431873806817336647786 x1[1] (numeric) = 2.0003175924750419110470219834214 absolute error = 1.4542668145469634711681357257968e-05 relative error = 0.00072701267404418538256864318285617 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.236e+04 Order of pole = 1.443e+08 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.9MB, time=40.17 memory used=881.2MB, alloc=4.9MB, time=40.35 t[1] = 1.691 x2[1] (analytic) = 1.0059412148162571754332845475246 x2[1] (numeric) = 1.0059506251533940852138534083944 absolute error = 9.4103371369097805688608697781710e-06 relative error = 0.00093547585070650975565093244093482 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003318031740564228737413430476 x1[1] (numeric) = 2.0003171065560214016069990666262 absolute error = 1.4696618035021266742276421419234e-05 relative error = 0.00073470901235990889841547801637924 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.239e+04 Order of pole = 1.444e+08 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.9MB, time=40.52 t[1] = 1.692 x2[1] (analytic) = 1.0059529431516240973511414537357 x2[1] (numeric) = 1.0059624645782549796590608166975 absolute error = 9.5214266308823079193629617394317e-06 relative error = 0.00094650815385577866684805594950462 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003314715367286667724373214353 x1[1] (numeric) = 2.000316620150838831140527312808 absolute error = 1.4851385889835631910008627301903e-05 relative error = 0.00074244624459296476668305032606286 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.241e+04 Order of pole = 1.446e+08 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.9MB, time=40.70 t[1] = 1.693 x2[1] (analytic) = 1.0059646951330357256030683584447 x2[1] (numeric) = 1.0059743284363632765926163561145 absolute error = 9.6333033275509895479976697914473e-06 relative error = 0.00095761843076182856696824279539599 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003311402308724750224290537369 x1[1] (numeric) = 2.0003161332590077944245024889298 absolute error = 1.5006971864680597926564807079325e-05 relative error = 0.00075022437849707905540614463625266 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.244e+04 Order of pole = 1.447e+08 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.9MB, time=40.87 t[1] = 1.694 x2[1] (analytic) = 1.0059764708076656545020068454786 x2[1] (numeric) = 1.005986216777365438418774880842 absolute error = 9.7459696997839167680353634021063e-06 relative error = 0.00096880692368074931086891938258042 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003308092561565417399159676744 x1[1] (numeric) = 2.0003156458800413995873135583612 absolute error = 1.5163376115142152602409313238121e-05 relative error = 0.00075804342186684656458082264793106 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.247e+04 Order of pole = 1.449e+08 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.9MB, time=41.05 t[1] = 1.695 x2[1] (analytic) = 1.0059882702227820856954938273461 x2[1] (numeric) = 1.0059981296510080512599196024904 absolute error = 9.8594282259655644257751442922728e-06 relative error = 0.00098007387539241738920268539452441 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003304786122498921813835534877 x1[1] (numeric) = 2.0003151580134522676219507686932 absolute error = 1.5320598797624559432784794541944e-05 relative error = 0.00076590338253773868654636975454775 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.249e+04 Order of pole = 1.450e+08 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.9MB, time=41.22 memory used=904.1MB, alloc=4.9MB, time=41.40 t[1] = 1.696 x2[1] (analytic) = 1.0060000934257480174040186003726 x2[1] (numeric) = 1.0060100671071380261361793537866 absolute error = 9.9736813900087321607534140217457e-06 relative error = 0.00099141952920155278464984672741878 % Correct digits = 5 h = 0.001 x1[1] (analytic) = 2.0003301482988218824126285928384 x1[1] (numeric) = 2.0003146696587525318986266041134 absolute error = 1.5478640069350514001988724963194e-05 relative error = 0.00077380426838611130711249363546068 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.252e+04 Order of pole = 1.452e+08 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.9MB, time=41.58 t[1] = 1.697 x2[1] (analytic) = 1.006011940464021434038400913316 x2[1] (numeric) = 1.0060220291957028005485398804404 absolute error = 1.0088731681366510138967124417602e-05 relative error = 0.0010028441289387776481753783248158 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003298183155421989781151970531 x1[1] (numeric) = 2.0003141808154538376769091149632 absolute error = 1.5637500088361301206082089872223e-05 relative error = 0.00078174608732921274743993818674953 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.254e+04 Order of pole = 1.453e+08 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.9MB, time=41.75 t[1] = 1.698 x2[1] (analytic) = 1.00602381138515549619694868455 x2[1] (numeric) = 1.0060340159667505404662576892886 absolute error = 1.0204581595044269309004738574221e-05 relative error = 0.0010143479189616767975847113793026 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003294886620808585706613240616 x1[1] (numeric) = 2.0003136914830673416173671366094 absolute error = 1.5797179013516953294187452205833e-05 relative error = 0.00078972884732519174668271627971962 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.257e+04 Order of pole = 1.455e+08 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.9MB, time=41.92 t[1] = 1.699 x2[1] (analytic) = 1.0060357062367987310431555218558 x2[1] (numeric) = 1.0060460274704303427193866002393 absolute error = 1.0321233631611676231078383556239e-05 relative error = 0.0010259311441558600406515571902275 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000329159338108207701455443716 x1[1] (numeric) = 2.0003132016611037112927269092761 absolute error = 1.5957677004496408728534439926306e-05 relative error = 0.00079775255637310548540020507721538 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.260e+04 Order of pole = 1.456e+08 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.9MB, time=42.09 t[1] = 1.7 x2[1] (analytic) = 1.0060476250666952230646997208581 x2[1] (numeric) = 1.0060580637569924377972287721894 absolute error = 1.0438690297214732529051331344075e-05 relative error = 0.0010375940499360263250897736352461 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000328830343294922370403021508 x1[1] (numeric) = 2.0003127113490731246985396099931 absolute error = 1.6118994221797671863411514829676e-05 relative error = 0.00080581722251292764974738788694755 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.262e+04 Order of pole = 1.457e+08 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.9MB, time=42.27 memory used=926.9MB, alloc=4.9MB, time=42.44 t[1] = 1.701 x2[1] (analytic) = 1.0060595679226848052145079431826 x2[1] (numeric) = 1.006070124876788393053523598985 absolute error = 1.0556954103587839015655802381457e-05 relative error = 0.0010493368822470297176400496025295 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003285016773120077368024910308 x1[1] (numeric) = 2.0003122205464852697633593073291 absolute error = 1.6281130826737973443183701668336e-05 relative error = 0.00081392285382555653645156678944506 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.265e+04 Order of pole = 1.459e+08 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.9MB, time=42.62 t[1] = 1.702 x2[1] (analytic) = 1.0060715348527032504346483035066 x2[1] (numeric) = 1.0060822108802713163191895006533 absolute error = 1.0676027568065884541197146721417e-05 relative error = 0.0010611598875649472145409277143357 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003281733398307977903503858614 x1[1] (numeric) = 2.0003117292528493438584308490858 absolute error = 1.6444086981453931919536775619069e-05 relative error = 0.0008220694584328231985839105460096 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.268e+04 Order of pole = 1.460e+08 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.9MB, time=42.79 t[1] = 1.703 x2[1] (analytic) = 1.0060835259047824635638191258274 x2[1] (numeric) = 1.0060943218179960599234352675491 absolute error = 1.0795913213596359616141721628049e-05 relative error = 0.0010730633128981483856524061252858 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003278453305229550224753018682 x1[1] (numeric) = 2.0003112374676740533068871926428 absolute error = 1.6607862848901715588109225354151e-05 relative error = 0.00083025704449749963213424256921614 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.270e+04 Order of pole = 1.462e+08 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.9MB, time=42.97 t[1] = 1.704 x2[1] (analytic) = 1.0060955411270506736292011634938 x2[1] (numeric) = 1.0061064577406194251240592507458 absolute error = 1.0916613568751494858087251983434e-05 relative error = 0.0010850474057883668544990559735921 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000327517649060470098000361278 x1[1] (numeric) = 2.0003107451904676128924556871497 absolute error = 1.6772458592857205544674128360976e-05 relative error = 0.00083848562022330700339751402510441 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.273e+04 Order of pole = 1.463e+08 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.9MB, time=43.14 t[1] = 1.705 x2[1] (analytic) = 1.0061075805677326265234426148327 x2[1] (numeric) = 1.006118618698900366947756330964 absolute error = 1.1038131167740424313716131380700e-05 relative error = 0.0010971124143117736164982620736692 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003271902951156615271338501653 x1[1] (numeric) = 2.0003102524207377453676728162706 absolute error = 1.6937874377916159461033894705685e-05 relative error = 0.00084675519385492391718044743228273 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.275e+04 Order of pole = 1.465e+08 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.9MB, time=43.32 memory used=949.8MB, alloc=4.9MB, time=43.49 t[1] = 1.706 x2[1] (analytic) = 1.0061196442751497780675478065752 x2[1] (numeric) = 1.0061308047437001994412542405729 absolute error = 1.1160468550421373706433997764353e-05 relative error = 0.0011092585870800521976378405365326 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003268632683611753377877013536 x1[1] (numeric) = 2.0003097591579916809616069096984 absolute error = 1.7104110369494376180791655149171e-05 relative error = 0.00085506577367799472583687642875537 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.278e+04 Order of pole = 1.466e+08 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.9MB, time=43.67 t[1] = 1.707 x2[1] (analytic) = 1.0061317322977204874604419607327 x2[1] (numeric) = 1.006143015925982801334102458731 absolute error = 1.1283628262313873660497998317570e-05 relative error = 0.0011214861732414756558659080621781 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003265365684699847482234950476 x1[1] (numeric) = 2.0003092654017361568870883311582 absolute error = 1.7271166733827861135163889400572e-05 relative error = 0.00086341736801913787914034769242513 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.281e+04 Order of pole = 1.468e+08 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.9MB, time=43.84 t[1] = 1.708 x2[1] (analytic) = 1.0061438446839602111159860071185 x2[1] (numeric) = 1.0061552522968148221139385485629 absolute error = 1.1407612854610997952541444403849e-05 relative error = 0.0011337954224819854274544735372663 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003262101951153898400256498433 x1[1] (numeric) = 2.000308771151477416847446650133 absolute error = 1.7439043637972992578999710334667e-05 relative error = 0.00087180998524595431500259132595308 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.283e+04 Order of pole = 1.469e+08 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.9MB, time=44.02 t[1] = 1.709 x2[1] (analytic) = 1.0061559814824816968882169533456 x2[1] (numeric) = 1.0061675139073658885150584573948 absolute error = 1.1532424884191626841504049158802e-05 relative error = 0.0011461865850262720205967931629357 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003258841479710172314014770866 x1[1] (numeric) = 2.0003082764067212105427543040464 absolute error = 1.7607741249806688647173040206306e-05 relative error = 0.00088024363376703589104650635101574 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.286e+04 Order of pole = 1.471e+08 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.9MB, time=44.20 t[1] = 1.71 x2[1] (analytic) = 1.0061681427419951786855908768716 x2[1] (numeric) = 1.0061798008089088114211189565098 absolute error = 1.1658066913632735528079638209214e-05 relative error = 0.0011586599116388575584970755019902 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003255584267108197508077718832 x1[1] (numeric) = 2.0003077811669727931755762571479 absolute error = 1.7777259738026575231514735267976e-05 relative error = 0.00088871832203197385704234830102388 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.289e+04 Order of pole = 1.472e+08 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.9MB, time=44.37 t[1] = 1.711 memory used=972.7MB, alloc=4.9MB, time=44.55 x2[1] (analytic) = 1.0061803285113085714750071595079 x2[1] (numeric) = 1.0061921130528197931828020556363 absolute error = 1.1784541511221707794896128384099e-05 relative error = 0.0011712156536251801742096424420629 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003252330310090761109036143848 x1[1] (numeric) = 2.0003072854317369249562251618491 absolute error = 1.7947599272151154678452535736621e-05 relative error = 0.00089723405853136736821584625509588 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.291e+04 Order of pole = 1.474e+08 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.9MB, time=44.72 t[1] = 1.712 x2[1] (analytic) = 1.0061925388393276666763941437752 x2[1] (numeric) = 1.0062044506905786353512728894558 absolute error = 1.1911851250968674878745680590185e-05 relative error = 0.0011838540628326802594831459912076 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003249079605403905828290553049 x1[1] (numeric) = 2.0003067892005178706075215277661 absolute error = 1.8118760022519975307527538763707e-05 relative error = 0.00090579085179683203943701701955003 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.294e+04 Order of pole = 1.475e+08 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.9MB, time=44.90 t[1] = 1.713 x2[1] (analytic) = 1.0062047737750563279486379525682 x2[1] (numeric) = 1.0062168137737689468282642388199 absolute error = 1.2039998712618879626286251667061e-05 relative error = 0.0011965753916518885698639089237395 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000324583214979692670809359942 x1[1] (numeric) = 2.0003062924728193988690584032291 absolute error = 1.8290742160293801750956712939162e-05 relative error = 0.00091438871040100854029848453643243 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.297e+04 Order of pole = 1.477e+08 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.9MB, time=45.08 t[1] = 1.714 x2[1] (analytic) = 1.006217033367596687367637778804 x2[1] (numeric) = 1.0062292023540783524336225181004 absolute error = 1.2168986481665065984739296430681e-05 relative error = 0.0012093798930175161883108994455643 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003242587940022367870844853163 x1[1] (numeric) = 2.0003057952481447820009700735224 absolute error = 1.8463545857454786114411793905865e-05 relative error = 0.00092302764295757123109215298166929 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.299e+04 Order of pole = 1.478e+08 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.9MB, time=45.25 t[1] = 1.715 x2[1] (analytic) = 1.0062293176661493419972725200723 x2[1] (numeric) = 1.006241616483298701891151732178 absolute error = 1.2298817149359893879212105674533e-05 relative error = 0.0012222678204095463495732661177403 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000323934697283601927163465347 x1[1] (numeric) = 2.0003052975259967952872042796251 absolute error = 1.8637171286806639959185721877873e-05 relative error = 0.000931707658121236839693122408362 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.302e+04 Order of pole = 1.479e+08 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.9MB, time=45.43 t[1] = 1.716 x2[1] (analytic) = 1.0062416267200135508540652047895 x2[1] (numeric) = 1.0062540562133262792335935819985 absolute error = 1.2429493312728379528377209042979e-05 relative error = 0.0012352394278543281275797491321234 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003236109244996913454033793266 x1[1] (numeric) = 2.0003047993058777165382974607233 absolute error = 1.8811618621974807105918603243136e-05 relative error = 0.00094042876458777317935977619356941 % Correct digits = 5 h = 0.001 memory used=995.6MB, alloc=4.9MB, time=45.61 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.305e+04 Order of pole = 1.481e+08 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.9MB, time=45.78 t[1] = 1.717 x2[1] (analytic) = 1.0062539605785874322663332309858 x2[1] (numeric) = 1.0062665215961620126275835764096 absolute error = 1.2561017574580361250345423839102e-05 relative error = 0.0012482949699256719880876475406712 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003232874753267322309125792698 x1[1] (numeric) = 2.0003043005872893255936525232698 absolute error = 1.8986888037406637260055999991069e-05 relative error = 0.00094919097109400790745900995968226 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.307e+04 Order of pole = 1.482e+08 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.9MB, time=45.96 t[1] = 1.718 x2[1] (analytic) = 1.0062663192913681616286140166405 x2[1] (numeric) = 1.0062790126839116846194246901329 absolute error = 1.2693392543522990810673492398948e-05 relative error = 0.0012614347017459472088373590668282 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003229643494412753837778520407 x1[1] (numeric) = 2.0003038013697329038233186388682 absolute error = 1.9162979708371560459213172437746e-05 relative error = 0.00095799428641783732512561206422836 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.310e+04 Order of pole = 1.484e+08 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.9MB, time=46.13 t[1] = 1.719 x2[1] (analytic) = 1.0062787029079521695521572414161 x2[1] (numeric) = 1.0062915295287861428025217932382 absolute error = 1.2826620833973250364551822075137e-05 relative error = 0.0012746588789871811694568195393858 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003226415465201948916151924856 x1[1] (numeric) = 2.000303301652709233629272572763 absolute error = 1.9339893810961262342619722627477e-05 relative error = 0.0009668387193782352178648461846919 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.313e+04 Order of pole = 1.485e+08 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.9MB, time=46.31 t[1] = 1.72 x2[1] (analytic) = 1.0062911114780353404122764437494 x2[1] (numeric) = 1.0063040721831015109073217663729 absolute error = 1.2960705066170495045322623546149e-05 relative error = 0.001287967757872160513358452651777 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003223190662406878064438641218 x1[1] (numeric) = 2.0003028014357185979462010442139 absolute error = 1.9517630522089860242819907870043e-05 relative error = 0.0009757242788352617371073269677256 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.315e+04 Order of pole = 1.487e+08 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.9MB, time=46.48 t[1] = 1.721 x2[1] (analytic) = 1.0063035450514132112933543245352 x2[1] (numeric) = 1.0063166406992794003146059082707 absolute error = 1.3095647866189021251583735524637e-05 relative error = 0.0013013615951755341838694975279074 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003219969082802738218834242566 x1[1] (numeric) = 2.0003023007182607797417836195405 absolute error = 1.9696190019494080099804716128547e-05 relative error = 0.00098465097369007232272532016501707 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.318e+04 Order of pole = 1.488e+08 memory used=1018.5MB, alloc=4.9MB, time=46.66 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.9MB, time=46.84 t[1] = 1.722 x2[1] (analytic) = 1.0063160036779811713322976990888 x2[1] (numeric) = 1.0063292351298471219929829377162 absolute error = 1.3231451865950660685238627401404e-05 relative error = 0.0013148406482249183368348113337915 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003216750723167949506733907335 x1[1] (numeric) = 2.0003017994998350615164756381161 absolute error = 1.9875572481733434197752617404733e-05 relative error = 0.00099361881288492666651963914108141 % Correct digits = 5 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.320e+04 Order of pole = 1.490e+08 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.9MB, time=47.01 t[1] = 1.723 x2[1] (analytic) = 1.0063284874077346614612396327143 x2[1] (numeric) = 1.0063418555274378988614325912007 absolute error = 1.3368119703237400192958486354189e-05 relative error = 0.0013284051749020031319294467763915 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003213535580284152025152278253 x1[1] (numeric) = 2.0003012977799402248027906710974 absolute error = 2.0055778088190399724556727877302e-05 relative error = 0.0010026278054031977166863501114268 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.323e+04 Order of pole = 1.491e+08 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.9MB, time=47.18 t[1] = 1.724 x2[1] (analytic) = 1.0063409962907693745502878920317 x2[1] (numeric) = 1.0063545019447910785777515199541 absolute error = 1.3505654021704027463627922396495e-05 relative error = 0.0013420554336436614049164796405695 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003210323650936202622363291157 x1[1] (numeric) = 2.0003007955580745496640820121694 absolute error = 2.0236807019070598154316946335298e-05 relative error = 0.0010116779602693807232725389529193 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.326e+04 Order of pole = 1.493e+08 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.9MB, time=47.36 t[1] = 1.725 x2[1] (analytic) = 1.0063535303772814559511204442431 x2[1] (numeric) = 1.0063671744347523467537548959073 absolute error = 1.3644057470890802634451664166015e-05 relative error = 0.0013557916834430592230837093948563 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003207114931912171682756755341 x1[1] (numeric) = 2.0003002928337358141928226990886 absolute error = 2.0418659455402975452976445413625e-05 relative error = 0.0010207692865491023246304329217946 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.328e+04 Order of pole = 1.494e+08 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.9MB, time=47.54 t[1] = 1.726 x2[1] (analytic) = 1.0063660897175677044422303397424 x2[1] (numeric) = 1.0063798730502739405980888454128 absolute error = 1.3783332706236155858505670380735e-05 relative error = 0.0013696141838507683260909762091995 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003203909420003339914908470281 x1[1] (numeric) = 2.0002997896064212940083835643048 absolute error = 2.0601335579039983107282723282222e-05 relative error = 0.001029901793349129674879211118666 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.331e+04 Order of pole = 1.496e+08 memory used=1041.4MB, alloc=4.9MB, time=47.71 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.9MB, time=47.89 t[1] = 1.727 x2[1] (analytic) = 1.0063786743620257735766239199148 x2[1] (numeric) = 1.006392597844414862987510542262 absolute error = 1.3923482389089410886622347250054e-05 relative error = 0.0013835231949758804544579303348241 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003200707112004195142860666824 x1[1] (numeric) = 2.0002992858756277617543088124376 absolute error = 2.0784835572657759977254244765024e-05 relative error = 0.0010390754898173796123838780541 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.334e+04 Order of pole = 1.497e+08 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.9MB, time=48.06 t[1] = 1.728 x2[1] (analytic) = 1.0063912843611543734327779016217 x2[1] (numeric) = 1.0064053488703410969674945076628 absolute error = 1.4064509186723534716606041145726e-05 relative error = 0.001397518977487123567920154559162 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003197508004712429100609564096 x1[1] (numeric) = 2.0002987816408514865950886218853 absolute error = 2.0969159619756314972334524370505e-05 relative error = 0.0010482903851429278692606151929105 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.336e+04 Order of pole = 1.499e+08 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.9MB, time=48.24 t[1] = 1.729 x2[1] (analytic) = 1.006403919765553472769662502745 x2[1] (numeric) = 1.006418126181325820683025384414 absolute error = 1.4206415772347913362881668941519e-05 relative error = 0.0014116017926139799558795772282831 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003194312094928934229796836648 x1[1] (numeric) = 2.0002982769015882337124282673374 absolute error = 2.1154307904659710551416327403113e-05 relative error = 0.001057546488556018321918065890298 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.339e+04 Order of pole = 1.500e+08 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.9MB, time=48.41 t[1] = 1.73 x2[1] (analytic) = 1.0064165806259245015866393892681 x2[1] (numeric) = 1.0064309298307496227404391755242 absolute error = 1.4349204825121153799786256050296e-05 relative error = 0.0014257719021478062421731219856703 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003191119379457800480601789497 x1[1] (numeric) = 2.0002977716573332638010132594605 absolute error = 2.1340280612516247046919489195083e-05 relative error = 0.0010668438093280722826440496783714 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.342e+04 Order of pole = 1.502e+08 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.9MB, time=48.59 t[1] = 1.731 x2[1] (analytic) = 1.0064292669930705540890448437105 x2[1] (numeric) = 1.0064437598721007180011766639853 absolute error = 1.4492879030163912131820274752896e-05 relative error = 0.0014400295684429552863815207692748 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003187929855106312115831041985 x1[1] (numeric) = 2.0002972659075813325637699975219 absolute error = 2.1527077929298647813106676551814e-05 relative error = 0.001076182356771697832247242417474 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.344e+04 Order of pole = 1.503e+08 memory used=1064.3MB, alloc=4.9MB, time=48.76 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.9MB, time=48.94 t[1] = 1.732 x2[1] (analytic) = 1.0064419789178965920602701773157 x2[1] (numeric) = 1.006456616358975163808314460329 absolute error = 1.4637441078571748044283013355584e-05 relative error = 0.0014543750544178999838981685977809 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003184743518684944518202524524 x1[1] (numeric) = 2.0002967596518266902066214302127 absolute error = 2.1714700041804245198822239742004e-05 relative error = 0.0010855621402406991937633993931346 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.347e+04 Order of pole = 1.505e+08 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.9MB, time=49.11 t[1] = 1.733 x2[1] (analytic) = 1.0064547164514096486411530342202 x2[1] (numeric) = 1.0064694993450770766467408579807 absolute error = 1.4782893667428005587823760463770e-05 relative error = 0.0014688086235563589669758221205959 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003181560367007361000820595521 x1[1] (numeric) = 2.0002962528895630809327372194243 absolute error = 2.1903147137655167344840127786875e-05 relative error = 0.0010949831691300861472357390164083 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.350e+04 Order of pole = 1.506e+08 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.9MB, time=49.29 t[1] = 1.734 x2[1] (analytic) = 1.0064674796447190325174948649178 x2[1] (numeric) = 1.0064824088842188492378454132765 absolute error = 1.4929239499816720350548358651800e-05 relative error = 0.0014833305399084242089668386624056 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003178380396890409620839088953 x1[1] (numeric) = 2.0002957456202837424362779012309 absolute error = 2.2092419405298525806007664411992e-05 relative error = 0.0011044454528760834855791453729125 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.353e+04 Order of pole = 1.508e+08 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.9MB, time=49.46 t[1] = 1.735 x2[1] (analytic) = 1.0064802685490365325165214786771 x2[1] (numeric) = 1.0064953450303213680695929073456 absolute error = 1.5076481284835553071428668475403e-05 relative error = 0.0014979410680916905339705184198306 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000317520360515411999630910626 x1[1] (numeric) = 2.0002952378434814053956325378192 absolute error = 2.2282517034006603998372806821071e-05 relative error = 0.0011139490009561405115378884640272 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.355e+04 Order of pole = 1.509e+08 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.9MB, time=49.63 t[1] = 1.736 x2[1] (analytic) = 1.0064930832156766226131052201859 x2[1] (numeric) = 1.0065083078374142313628540908735 absolute error = 1.5224621737608749748870687549252e-05 relative error = 0.0015126404732923870340989494218452 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003172029988621700126208369396 x1[1] (numeric) = 2.0002947295586482929661493536052 absolute error = 2.2473440213877046471483334434750e-05 relative error = 0.001123493822888940575746601592562 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.358e+04 Order of pole = 1.511e+08 memory used=1087.2MB, alloc=4.9MB, time=49.81 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.9MB, time=49.98 t[1] = 1.737 x2[1] (analytic) = 1.0065059236960566673465689545825 x2[1] (numeric) = 1.0065212973596359674748673600733 absolute error = 1.5373663579300128298405490732253e-05 relative error = 0.0015274290212665103965705627037509 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003168859544119533213648955077 x1[1] (numeric) = 2.0002942207652761202723588482678 absolute error = 2.2665189135833049006047239909270e-05 relative error = 0.0011330799282344106559042959647278 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.361e+04 Order of pole = 1.512e+08 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.9MB, time=50.16 t[1] = 1.738 x2[1] (analytic) = 1.0065187900416971276488936872041 x2[1] (numeric) = 1.0065343136512342537407072630008 absolute error = 1.5523609537126091813575796763854e-05 relative error = 0.0015423069783409601428383837226042 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003165692268477174492260233422 x1[1] (numeric) = 2.0002937114628560938996888789221 absolute error = 2.2857763991623549537144420111319e-05 relative error = 0.0011427073265937309770712332105376 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.363e+04 Order of pole = 1.514e+08 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.9MB, time=50.33 t[1] = 1.739 x2[1] (analytic) = 1.0065316823042217670851532898368 x2[1] (numeric) = 1.0065473567665661357536374896612 absolute error = 1.5674462344368668484199824412700e-05 relative error = 0.0015572746114146757819577152155748 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003162528158527348055743837382 x1[1] (numeric) = 2.0002932016508789113856712031479 absolute error = 2.3051164973823419903180590276620e-05 relative error = 0.0011523760276093446730985171658197 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.366e+04 Order of pole = 1.515e+08 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.9MB, time=50.51 t[1] = 1.74 x2[1] (analytic) = 1.0065446005353578585070014540056 x2[1] (numeric) = 1.0065604267600982470852277571833 absolute error = 1.5826224740388578226303177772424e-05 relative error = 0.0015723321879597758803957063266529 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003159367211105943690597492498 x1[1] (numeric) = 2.0002926913288347607106389740795 absolute error = 2.3245392275833658420775170322166e-05 relative error = 0.0011620860409649674892003069109196 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.369e+04 Order of pole = 1.517e+08 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.9MB, time=50.69 t[1] = 1.741 x2[1] (analytic) = 1.0065575447869363911200376438888 x2[1] (numeric) = 1.006573523686407029446115762685 absolute error = 1.5978899470638326078118796206803e-05 relative error = 0.0015874799760226990504829527558254 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003156209423052013712004539728 x1[1] (numeric) = 2.0002921804962133197879146782545 absolute error = 2.3440446091881583285775718216040e-05 relative error = 0.0011718373763855975256785937239083 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.371e+04 Order of pole = 1.518e+08 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.9MB, time=50.86 memory used=1113.9MB, alloc=4.9MB, time=51.03 t[1] = 1.742 x2[1] (analytic) = 1.0065705151108922779658804768053 x2[1] (numeric) = 1.0065866476001789532882971413253 absolute error = 1.6132489286675322416664520047777e-05 relative error = 0.0016027182442253468597049327721202 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003153054791207769802885987211 x1[1] (numeric) = 2.0002916691525037559534880064097 absolute error = 2.3636326617021026800592311435362e-05 relative error = 0.0011816300436375250228105252797651 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.374e+04 Order of pole = 1.520e+08 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.9MB, time=51.21 t[1] = 1.743 x2[1] (analytic) = 1.0065835115592645638197786178897 x2[1] (numeric) = 1.0065997985562107388498281354486 absolute error = 1.6286996946175030049517558925201e-05 relative error = 0.001618047261766228663028714031063 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003149903312418579856111930048 x1[1] (numeric) = 2.0002911572971947254551831469009 absolute error = 2.3833034047132530428046103862929e-05 relative error = 0.001191464052528342186908301111584 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.377e+04 Order of pole = 1.521e+08 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.9MB, time=51.39 t[1] = 1.744 x2[1] (analytic) = 1.0065965341841966335045909375676 x2[1] (numeric) = 1.0066129766094095776428274526736 absolute error = 1.6442425212944138236515105998284e-05 relative error = 0.0016334672984216083604579661008359 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003146754983532964819869180276 x1[1] (numeric) = 2.0002906449297743729413149909156 absolute error = 2.4030568578923540671927111987375e-05 relative error = 0.0012013394129069530575617040454159 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.379e+04 Order of pole = 1.523e+08 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.9MB, time=51.56 t[1] = 1.745 x2[1] (analytic) = 1.0066095830379364206219693457597 x2[1] (numeric) = 1.0066261818147933543856655662785 absolute error = 1.6598776856933763696220518807651e-05 relative error = 0.0016489786245466530820068832819475 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003143609801402595546181952439 x1[1] (numeric) = 2.000290132049730330948833738133 absolute error = 2.4228930409928605784457110980937e-05 relative error = 0.0012112561346635834160733730269327 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.382e+04 Order of pole = 1.525e+08 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.9MB, time=51.74 t[1] = 1.746 x2[1] (analytic) = 1.0066226581728366167015793853993 x2[1] (numeric) = 1.0066394142274908693802314902858 absolute error = 1.6756054654252678652104886416952e-05 relative error = 0.0016645815110765838022811615541643 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003140467762882289642582453251 x1[1] (numeric) = 2.000289618656549719390957390977 absolute error = 2.4428119738509573300854348134137e-05 relative error = 0.001221214227729790735096963475733 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.385e+04 Order of pole = 1.526e+08 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.9MB, time=51.91 memory used=1136.8MB, alloc=4.9MB, time=52.09 t[1] = 1.747 x2[1] (analytic) = 1.0066357596413548807691953398408 x2[1] (numeric) = 1.0066526739027420613351688442642 absolute error = 1.6914261387180565973504423408137e-05 relative error = 0.0016802762295278278868516821528722 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003137328864830008326928227025 x1[1] (numeric) = 2.0002891047497191450442916250942 absolute error = 2.4628136763855788401197608228537e-05 relative error = 0.001231213702078474169488382031829 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.387e+04 Order of pole = 1.528e+08 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.9MB, time=52.27 t[1] = 1.748 x2[1] (analytic) = 1.006648887496054049334508284077 x2[1] (numeric) = 1.0066659608958982306359748090515 absolute error = 1.7073399844181301466524974579746e-05 relative error = 0.0016960630519991735726040322154749 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003134193104106853285363111696 x1[1] (numeric) = 2.0002885903287247010354365231769 absolute error = 2.4828981685984293099787992728183e-05 relative error = 0.0012412545677238845883803232987139 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.390e+04 Order of pole = 1.529e+08 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.9MB, time=52.44 t[1] = 1.749 x2[1] (analytic) = 1.0066620417896023467994871883821 x2[1] (numeric) = 1.0066792752624222630628573643624 absolute error = 1.7233472819916263370175980318703e-05 relative error = 0.0017119422511729263842444399968419 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003131060477577063533418663394 x1[1] (numeric) = 2.0002880753930519663270796587372 absolute error = 2.5030654705740026262207602168086e-05 relative error = 0.0012513368347216346484903769384326 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.393e+04 Order of pole = 1.531e+08 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.9MB, time=52.62 t[1] = 1.75 x2[1] (analytic) = 1.0066752225747735962881348650477 x2[1] (numeric) = 1.0066926170578888539572479925897 absolute error = 1.7394483115257669113127542019903e-05 relative error = 0.0017279141003160674891401181806082 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003127930982108012280252910656 x1[1] (numeric) = 2.0002875599421860052035750159268 absolute error = 2.5233156024796024450275138815130e-05 relative error = 0.0012614605131687089086730142363157 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.395e+04 Order of pole = 1.532e+08 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.9MB, time=52.79 t[1] = 1.751 x2[1] (analytic) = 1.0066884299044474308984822343058 x2[1] (numeric) = 1.0067059863379847328378688300458 absolute error = 1.7556433537301939386595740061921e-05 relative error = 0.0017439788732814139926693936591461 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003124804614570203796023302536 x1[1] (numeric) = 2.000287043975611366756007230979 absolute error = 2.5436485845653623595099274573709e-05 relative error = 0.001271625613203473985725804026523 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.398e+04 Order of pole = 1.534e+08 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.9MB, time=52.96 memory used=1159.6MB, alloc=4.9MB, time=53.14 t[1] = 1.752 x2[1] (analytic) = 1.0067016638316095053776660743297 x2[1] (numeric) = 1.0067193831585088884672550474238 absolute error = 1.7719326899383089588973094160062e-05 relative error = 0.0017601368445087811762543556675533 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003121681371837270282390717969 x1[1] (numeric) = 2.0002865274928120843667406403397 absolute error = 2.5640644371642661498431457206287e-05 relative error = 0.0012818321450056887514602486543125 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.401e+04 Order of pole = 1.535e+08 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.9MB, time=53.31 t[1] = 1.753 x2[1] (analytic) = 1.0067149244093517082209371123795 x2[1] (numeric) = 1.0067328075753727943696350453974 absolute error = 1.7883166021086148697933017858976e-05 relative error = 0.0017763882890261466802460761837659 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003118561250785968746151406903 x1[1] (numeric) = 2.0002860104932716751934526200341 absolute error = 2.5845631806921681162520656238566e-05 relative error = 0.0012920801187965145710476714470526 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.404e+04 Order of pole = 1.537e+08 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.9MB, time=53.49 t[1] = 1.754 x2[1] (analytic) = 1.0067282116908723741954470097272 x2[1] (numeric) = 1.0067462596446006348010728590332 absolute error = 1.8047953728260605625849305946727e-05 relative error = 0.0017927334824508166338297468950506 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003115444248296177875993736823 x1[1] (numeric) = 2.0002854929764731396526507003039 absolute error = 2.6051448356478134948673378420936e-05 relative error = 0.0013023695448385255826506279734562 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.406e+04 Order of pole = 1.538e+08 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.9MB, time=53.66 t[1] = 1.755 x2[1] (analytic) = 1.0067415257294764972896644919538 x2[1] (numeric) = 1.0067597394223295311727789760599 absolute error = 1.8213692853033883114484106121524e-05 relative error = 0.0018091727009905937341143356272619 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000311233036125089492237662143 x1[1] (numeric) = 2.0002849749418989609026729390317 absolute error = 2.6258094226128589564723111323251e-05 relative error = 0.0013127004334357190183503541893871 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.409e+04 Order of pole = 1.540e+08 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.9MB, time=53.84 t[1] = 1.756 x2[1] (analytic) = 1.0067548665785759440892725785733 x2[1] (numeric) = 1.006773246964809768928497589038 absolute error = 1.8380386233824839225010464773592e-05 relative error = 0.0018257062214449472765685917833773 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000310921958653623258052651135 x1[1] (numeric) = 2.0002844563890311043261710369525 absolute error = 2.6465569622518931881614182549441e-05 relative error = 0.0013230727949335255663808053988987 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.412e+04 Order of pole = 1.541e+08 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.9MB, time=54.02 memory used=1182.5MB, alloc=4.9MB, time=54.19 t[1] = 1.757 x2[1] (analytic) = 1.0067682342916896675804005717082 x2[1] (numeric) = 1.0067867823284050248768801201099 absolute error = 1.8548036715357296479548401710853e-05 relative error = 0.0018423343212061851389624248874099 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003106111921041415876549829871 x1[1] (numeric) = 2.0002839373173510170120756771359 absolute error = 2.6673874753124575579305851172994e-05 relative error = 0.0013334866397188197746798808009589 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.414e+04 Order of pole = 1.543e+08 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.9MB, time=54.37 t[1] = 1.758 x2[1] (analytic) = 1.0067816289224439213810461727226 x2[1] (numeric) = 1.0068003455695925949797566792831 absolute error = 1.8716647148673598710506560512127e-05 relative error = 0.0018590572782606277209698426237141 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003103007361658779056657739815 x1[1] (numeric) = 2.0002834177263396272370435707042 absolute error = 2.6883009826250668622203277314593e-05 relative error = 0.0013439419782199304957684692456326 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.417e+04 Order of pole = 1.544e+08 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.9MB, time=54.54 t[1] = 1.759 x2[1] (analytic) = 1.0067950505245724744015448083263 x2[1] (numeric) = 1.0068139367449636225972189431266 absolute error = 1.8886220391148195674134800390346e-05 relative error = 0.0018758753711897838415867646442638 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000309990590528376247950013078 x1[1] (numeric) = 2.0002828976154773439463856902327 absolute error = 2.7092975051032301564322845310187e-05 relative error = 0.0013544388209066513729679926883656 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.420e+04 Order of pole = 1.546e+08 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.9MB, time=54.71 t[1] = 1.76 x2[1] (analytic) = 1.0068084991519168259349449636972 x2[1] (numeric) = 1.0068275559112233271904297703396 absolute error = 1.9056759306501255484806642446560e-05 relative error = 0.0018927888791715285965141257314251 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003096807548814909511605719075 x1[1] (numeric) = 2.0002823769842440562344761717619 absolute error = 2.7303770637434716684400145652168e-05 relative error = 0.0013649771782902513679671647074907 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.423e+04 Order of pole = 1.548e+08 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.9MB, time=54.89 t[1] = 1.761 x2[1] (analytic) = 1.006821974858426421178150039638 x2[1] (numeric) = 1.0068412031251912334830767038965 absolute error = 1.9228266764812304926664258449906e-05 relative error = 0.0019097980819812831776537464942181 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003093712289153863425925155795 x1[1] (numeric) = 2.0002818558321191328246413658287 absolute error = 2.7515396796253517951149750829069e-05 relative error = 0.0013755570609234853297487223381893 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.425e+04 Order of pole = 1.549e+08 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.9MB, time=55.06 memory used=1205.4MB, alloc=4.9MB, time=55.24 t[1] = 1.762 x2[1] (analytic) = 1.0068354776981588671846889736943 x2[1] (numeric) = 1.0068548784438014010823883463886 absolute error = 1.9400745642533897699372694246969e-05 relative error = 0.0019269032599931966568614814846635 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003090620123205364303474041575 x1[1] (numeric) = 2.0002813341585814215485285174071 absolute error = 2.7727853739114881818886750341053e-05 relative error = 0.0013861784794006046048869303759321 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.428e+04 Order of pole = 1.551e+08 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.9MB, time=55.41 t[1] = 1.763 x2[1] (analytic) = 1.0068490077252801492499795915234 x2[1] (numeric) = 1.0068685819241026545606344357764 absolute error = 1.9574198822505310654844253044363e-05 relative error = 0.0019441046941813297360991532895161 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003087531047877245938072749665 x1[1] (numeric) = 2.0002808119631092488249535541259 absolute error = 2.7941141678475768853720840530294e-05 relative error = 0.0013968414443573676892266982139282 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.431e+04 Order of pole = 1.552e+08 TOP MAIN SOLVE Loop memory used=1213.0MB, alloc=4.9MB, time=55.59 t[1] = 1.764 x2[1] (analytic) = 1.0068625649940648477299503846176 x2[1] (numeric) = 1.0068823136232588139980322930442 absolute error = 1.9748629193966268081908426580608e-05 relative error = 0.0019614026661208404661237466229473 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003084445060080432744179962073 x1[1] (numeric) = 2.0002802892451804191382274616119 absolute error = 2.8155260827624136190534595437976e-05 relative error = 0.0014075459664710509209551902023781 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.433e+04 Order of pole = 1.554e+08 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.9MB, time=55.76 t[1] = 1.765 x2[1] (analytic) = 1.0068761495588963552938881437686 x2[1] (numeric) = 1.0068960735985489259879841612237 absolute error = 1.9924039652570694096017455067513e-05 relative error = 0.0019787974579891719358492685583659 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.00030813621567289366678168266 x1[1] (numeric) = 2.0002797660042722145159607242844 absolute error = 2.8370211400679150820958375683891e-05 relative error = 0.0014182920564604592150768514523779 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.436e+04 Order of pole = 1.555e+08 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.9MB, time=55.94 t[1] = 1.766 x2[1] (analytic) = 1.0068897614742670946123806144042 x2[1] (numeric) = 1.0069098619073674951055718069244 absolute error = 2.0100433100400493191192520198900e-05 relative error = 0.0019962893525672419345135796328349 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003078282334739854100578645696 x1[1] (numeric) = 2.0002792422398613940063453094062 absolute error = 2.8585993612591403712555163361307e-05 relative error = 0.0014290797250859368393028119542169 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.439e+04 Order of pole = 1.557e+08 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.9MB, time=56.11 memory used=1228.3MB, alloc=4.9MB, time=56.29 t[1] = 1.767 x2[1] (analytic) = 1.0069034007947787364812250801602 x2[1] (numeric) = 1.0069236786072247158402366108901 absolute error = 2.0277812445979359011530729957512e-05 relative error = 0.0020138786332406345887793654751083 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003075205591033362796731011142 x1[1] (numeric) = 2.000278717951424193154913671672 absolute error = 2.8802607679143124759429442149797e-05 relative error = 0.0014399089831493782313656728385733 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.442e+04 Order of pole = 1.558e+08 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.9MB, time=56.46 t[1] = 1.768 x2[1] (analytic) = 1.0069170675751424183821755247566 x2[1] (numeric) = 1.0069375237557467049935752331965 absolute error = 2.0456180604286611399708439862681e-05 relative error = 0.0020315655840007939768952496872652 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000307213192253271879338730167 x1[1] (numeric) = 2.0002781931384363234807742550937 absolute error = 2.9020053816948398564475073272811e-05 relative error = 0.0014507798414942388577707195797868 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.444e+04 Order of pole = 1.560e+08 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.9MB, time=56.64 t[1] = 1.769 x2[1] (analytic) = 1.00693076187017896348140276945 x2[1] (numeric) = 1.0069513974106757345431828015231 absolute error = 2.0635540496771061780032073155743e-05 relative error = 0.0020493504894462197220398457887477 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003069061326164253333764463679 x1[1] (numeric) = 2.0002776678003729719523229684184 absolute error = 2.9238332243453381053477949565858e-05 relative error = 0.0014616923110055461139946479230167 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.447e+04 Order of pole = 1.562e+08 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.9MB, time=56.81 t[1] = 1.77 x2[1] (analytic) = 1.006944483734819100066543734031 x2[1] (numeric) = 1.0069652996298704649734774374837 absolute error = 2.0815895051364906933703452682241e-05 relative error = 0.00206723363478366456696830894822 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003065993798857369793513998311 x1[1] (numeric) = 2.0002771419367088004624301097893 absolute error = 2.9457443176936516921290041775995e-05 relative error = 0.0014726464026099102661429293117078 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.450e+04 Order of pole = 1.563e+08 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.9MB, time=56.99 t[1] = 1.771 x2[1] (analytic) = 1.0069582332241036814232177235413 x2[1] (numeric) = 1.0069792304713061790744418062816 absolute error = 2.0997247202497651224082740365671e-05 relative error = 0.002085215305829333932077676820369 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000306292933754454061012508122 x1[1] (numeric) = 2.0002766155469179453031022158388 absolute error = 2.9677386836508757910292283284796e-05 relative error = 0.0014836421272755354340769835984372 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.452e+04 Order of pole = 1.565e+08 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.9MB, time=57.17 memory used=1251.2MB, alloc=4.9MB, time=57.35 t[1] = 1.772 x2[1] (analytic) = 1.0069720103931839061518894005971 x2[1] (numeric) = 1.0069931899930750162092192489938 absolute error = 2.1179599891110057329848396643584e-05 relative error = 0.0021032957890100874590039829082781 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003059867939161304215396744437 x1[1] (numeric) = 2.000276088630474016639618309872 absolute error = 2.9898163442113781921364571735872e-05 relative error = 0.0014946794960122306160223678409272 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.455e+04 Order of pole = 1.566e+08 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.9MB, time=57.52 t[1] = 1.773 x2[1] (analytic) = 1.0069858152973215389259598644425 x2[1] (numeric) = 1.007007178253386207051503934565 absolute error = 2.1362956064668125544070122521234e-05 relative error = 0.0021214753713646425418607853234459 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003056809600646261970976052793 x1[1] (numeric) = 2.0002755611868500979841400232807 absolute error = 3.0119773214528212957581998555206e-05 relative error = 0.001505758519871420754669231015834 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.458e+04 Order of pole = 1.568e+08 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.9MB, time=57.70 t[1] = 1.774 x2[1] (analytic) = 1.0069996479918891316919690226129 x2[1] (numeric) = 1.0070211953105663087936663501444 absolute error = 2.1547318677177101697327531459196e-05 relative error = 0.0021397543405447798482253784504241 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003053754318941075106959210451 x1[1] (numeric) = 2.000275033215518745668795063795 absolute error = 3.0342216375361841900857250078857e-05 relative error = 0.0015168792099461578447763255258949 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.461e+04 Order of pole = 1.569e+08 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.9MB, time=57.88 t[1] = 1.775 x2[1] (analytic) = 1.0070135085323702453127942093847 x2[1] (numeric) = 1.0070352412230594408265573337023 absolute error = 2.1732690689195513763124317619261e-05 relative error = 0.0021581329848165508319755446763278 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003050702090990461663552536142 x1[1] (numeric) = 2.0002745047159519883182335036573 absolute error = 3.0565493147057848121749956948834e-05 relative error = 0.0015280415773711320822899074311699 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.463e+04 Order of pole = 1.571e+08 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.9MB, time=58.05 t[1] = 1.776 x2[1] (analytic) = 1.0070273969743596716547317770168 x2[1] (numeric) = 1.0070493160494275208919357419583 absolute error = 2.1919075067849237203964941517980e-05 relative error = 0.0021766115930614872400762578514657 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003047652913742193435790248764 x1[1] (numeric) = 2.0002739756876213263216563602748 absolute error = 3.0789603752893021922664601604961e-05 relative error = 0.0015392456333226830549888984025002 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.466e+04 Order of pole = 1.573e+08 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.9MB, time=58.22 memory used=1274.1MB, alloc=4.9MB, time=58.40 t[1] = 1.777 x2[1] (analytic) = 1.0070413133735636561193501611716 x2[1] (numeric) = 1.0070634198483505017084667395159 absolute error = 2.2106474786845589116578344351027e-05 relative error = 0.0021951904547778126154122693397647 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003044606784147092921306008061 x1[1] (numeric) = 2.000273446129997731304315941379 absolute error = 3.1014548416977987814659427089174e-05 relative error = 0.0015504913890188109746677234749521 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.469e+04 Order of pole = 1.574e+08 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.9MB, time=58.57 t[1] = 1.778 x2[1] (analytic) = 1.0070552577858001206210047008353 x2[1] (numeric) = 1.0070775526786266080722395917639 absolute error = 2.2294892826487451234890928626613e-05 relative error = 0.0022138698600816557977589912296494 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003041563699159030271155158163 x1[1] (numeric) = 2.0002729160425516455984874261923 absolute error = 3.1240327364257428628089623989753e-05 relative error = 0.0015617788557191879508682797709687 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.472e+04 Order of pole = 1.576e+08 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.9MB, time=58.75 t[1] = 1.779 x2[1] (analytic) = 1.0070692302669988870109062755533 x2[1] (numeric) = 1.0070917145991725744327557445591 absolute error = 2.2484332173687421849469005755867e-05 relative error = 0.0022326500997082664249805393400967 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003038523655734920243684624795 x1[1] (numeric) = 2.0002723854247529817139111535733 absolute error = 3.1466940820510310457308906187386e-05 relative error = 0.0015731080447251693061725324672453 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.474e+04 Order of pole = 1.577e+08 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.9MB, time=58.92 t[1] = 1.78 x2[1] (analytic) = 1.00708323087320190094863760886 x2[1] (numeric) = 1.0071059056690238829453398779714 absolute error = 2.2674795821981996702269111366873e-05 relative error = 0.0022515314650132324365402109046294 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003035486650834719161447420031 x1[1] (numeric) = 2.000271854276071121807705087583 absolute error = 3.1694389012350108439654420123339e-05 relative error = 0.0015844789673798049330672753960276 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.477e+04 Order of pole = 1.579e+08 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.9MB, time=59.10 t[1] = 1.781 x2[1] (analytic) = 1.0070972596605634562220128764201 x2[1] (numeric) = 1.0071201259473350020009285294469 absolute error = 2.2866286771545778915653026812191e-05 relative error = 0.0022705142479736995814050480793483 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003032452681421421871158711516 x1[1] (numeric) = 2.000271322595974917153746930385 absolute error = 3.1922672167225033368940766593504e-05 relative error = 0.0015958916350678506923926348006284 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.480e+04 Order of pole = 1.580e+08 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.9MB, time=59.27 memory used=1297.0MB, alloc=4.9MB, time=59.45 t[1] = 1.782 x2[1] (analytic) = 1.0071113166853504195161780506224 x2[1] (numeric) = 1.0071343754933796252341927936435 absolute error = 2.3058808029205718014743021103512e-05 relative error = 0.0022895987411895929324224785304083 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003029421744461058706690416091 x1[1] (numeric) = 2.0002707903839326876115253518605 absolute error = 3.2151790513418259143689748581191e-05 relative error = 0.0016073460592157798533859359065258 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.483e+04 Order of pole = 1.582e+08 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.9MB, time=59.62 t[1] = 1.783 x2[1] (analytic) = 1.0071254020039424556328512101766 x2[1] (numeric) = 1.0071486543665509110109535219184 absolute error = 2.3252362608455378102311741808824e-05 relative error = 0.0023087852378848404092433281417258 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003026393836922692455101280838 x1[1] (numeric) = 2.0002702576394122210944598047904 absolute error = 3.2381744280048151050323293377390e-05 relative error = 0.0016188422512917945753325931234677 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.485e+04 Order of pole = 1.584e+08 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.9MB, time=59.80 t[1] = 1.784 x2[1] (analytic) = 1.0071395156728322531606038436739 x2[1] (numeric) = 1.0071629626263617223958493640106 absolute error = 2.3446953529469235245520336765309e-05 relative error = 0.002328074031908598311861768174598 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003023368955778415325699417561 x1[1] (numeric) = 2.0002697243618807730376883939239 absolute error = 3.2612533697068494881547832200447e-05 relative error = 0.001630380222805837430835725860613 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.488e+04 Order of pole = 1.585e+08 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.9MB, time=59.97 t[1] = 1.785 x2[1] (analytic) = 1.0071536577486257505970859800834 x2[1] (numeric) = 1.0071773003324448676012199178647 absolute error = 2.3642583819117004133937781274323e-05 relative error = 0.00234746541773647886683898983621 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003020347098003345922134259765 x1[1] (numeric) = 2.0002691905508050658653232667208 absolute error = 3.2844158995268726890159255718612e-05 relative error = 0.0016419599853096029707162431159248 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.491e+04 Order of pole = 1.587e+08 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.9MB, time=60.15 t[1] = 1.786 x2[1] (analytic) = 1.0071678282880423629240997867833 x2[1] (numeric) = 1.0071916675445533409181681808015 absolute error = 2.3839256510977994068394018233294e-05 relative error = 0.002366959690471779788273593001902 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003017328260575626217514914235 x1[1] (numeric) = 2.0002686562056512884571729930242 absolute error = 3.3076620406274164578498399299593e-05 relative error = 0.0016535815503965493305551811928335 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.493e+04 Order of pole = 1.588e+08 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.9MB, time=60.32 memory used=1319.9MB, alloc=4.9MB, time=60.50 t[1] = 1.787 x2[1] (analytic) = 1.0071820273479152086364280869657 x2[1] (numeric) = 1.0072060643225605641307684263576 absolute error = 2.4036974645355494340339391904352e-05 relative error = 0.0023865571458467158555778326142226 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003014312440476418532551882324 x1[1] (numeric) = 2.0002681213258850956149314003849 absolute error = 3.3309918162546238323787847461827e-05 relative error = 0.0016652449297019098788901201016534 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.496e+04 Order of pole = 1.590e+08 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.9MB, time=60.67 t[1] = 1.788 x2[1] (analytic) = 1.0071962549851913372253260631268 x2[1] (numeric) = 1.007220490726460628414387566097 absolute error = 2.4235741269291189061502970202986e-05 relative error = 0.0024062580802236525101149858771725 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003011299634689902516719129089 x1[1] (numeric) = 2.000267585910971607527832331226 absolute error = 3.3544052497382723839581682883578e-05 relative error = 0.0016769501349027049070775454203945 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.499e+04 Order of pole = 1.592e+08 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.9MB, time=60.85 t[1] = 1.789 x2[1] (analytic) = 1.0072105112569319571175862318526 x2[1] (numeric) = 1.0072349468163685367190899945586 absolute error = 2.4435559436579601503762705994996e-05 relative error = 0.00242606279059634147274918560305 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003008289840203272132433481453 x1[1] (numeric) = 2.0002670499603754092377697875039 absolute error = 3.3779023644917975473560641438969e-05 relative error = 0.001688697177717753360833063619511 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.502e+04 Order of pole = 1.593e+08 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.9MB, time=61.02 t[1] = 1.79 x2[1] (analytic) = 1.0072247962203126640710885972565 x2[1] (numeric) = 1.0072494326525204466390978582419 absolute error = 2.4636432207782568009260985400541e-05 relative error = 0.0024459715745911583843551097776826 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003005283054006732642248339551 x1[1] (numeric) = 2.0002665134735605501038829279841 absolute error = 3.4014831840123160341905971075572e-05 relative error = 0.0017004860699076846134614200978054 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.504e+04 Order of pole = 1.595e+08 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.9MB, time=61.20 t[1] = 1.791 x2[1] (analytic) = 1.0072391099326236700277497162133 x2[1] (numeric) = 1.0072639482952739137692806361643 absolute error = 2.4838362650243741530919951004952e-05 relative error = 0.0024659847304683424713309244127144 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0003002279273093497599058688468 x1[1] (numeric) = 2.0002659764499905432666053827178 absolute error = 3.4251477318806493300486128926900e-05 relative error = 0.0017123168232749502807883104321985 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.507e+04 Order of pole = 1.596e+08 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.9MB, time=61.37 t[1] = 1.792 x2[1] (analytic) = 1.0072534524512700324247862379819 x2[1] (numeric) = 1.0072784938051081355496498700525 memory used=1342.8MB, alloc=4.9MB, time=61.55 absolute error = 2.5041353838103124863632070653335e-05 relative error = 0.0024861025571232382381538458755073 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002999278494459785839314400565 x1[1] (numeric) = 2.0002654388891283651111783487687 absolute error = 3.4488960317613472753091287866087e-05 relative error = 0.0017241894496638360778060166124241 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.510e+04 Order of pole = 1.598e+08 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.9MB, time=61.72 t[1] = 1.793 x2[1] (analytic) = 1.0072678238337718839652103139145 x2[1] (numeric) = 1.0072930692426241955988368366632 absolute error = 2.5245408852311633626522748646490e-05 relative error = 0.0025063253540875391890136199519977 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002996280715104818479238821622 x1[1] (numeric) = 2.0002649007904364547306269307015 absolute error = 3.4727281074027117296951460754921e-05 relative error = 0.0017361039609604737170449413129539 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.513e+04 Order of pole = 1.599e+08 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.9MB, time=61.90 t[1] = 1.794 x2[1] (analytic) = 1.0072822241377646628484761097315 x2[1] (numeric) = 1.0073076746685453085375329130776 absolute error = 2.5450530780645689056803346147349e-05 relative error = 0.0025266534215305335805551077287651 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002993285932030815914049636988 x1[1] (numeric) = 2.0002643621533767133881991888109 absolute error = 3.4966439826368203205774887926067e-05 relative error = 0.0017480603690928528486831545486384 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.516e+04 Order of pole = 1.601e+08 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.9MB, time=62.07 t[1] = 1.795 x2[1] (analytic) = 1.0072966534209993434621984932912 x2[1] (numeric) = 1.0073223101437170653028743480831 absolute error = 2.5656722717721840675854791938763e-05 relative error = 0.0025470870602603522077570228002417 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002990294142242994820179016988 x1[1] (numeric) = 2.0002638229774105039792673575279 absolute error = 3.5206436813795502750544170956658e-05 relative error = 0.0017600586860308330424061083677013 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.518e+04 Order of pole = 1.603e+08 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.9MB, time=62.25 t[1] = 1.796 x2[1] (analytic) = 1.0073111117413426675358668149293 x2[1] (numeric) = 1.0073369757291076789547551189532 absolute error = 2.5863987765011418888304023834907e-05 relative error = 0.0025676265717252182249696801373974 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000298730534274956516049004379 x1[1] (numeric) = 2.0002632832619986504926906959055 absolute error = 3.5447272276306023358308473549248e-05 relative error = 0.0017720989237861558110287165559003 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.521e+04 Order of pole = 1.604e+08 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.9MB, time=62.42 t[1] = 1.797 x2[1] (analytic) = 1.0073255991567773757574785452677 x2[1] (numeric) = 1.0073516714858082309750535230733 absolute error = 2.6072329030855217574977805530571e-05 relative error = 0.002588272258014699004130394016738 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002984319530561727192486424949 x1[1] (numeric) = 2.0002627430066014374716394315466 absolute error = 3.5688946454735247609210948332265e-05 relative error = 0.0017841810944124566758920376588866 % Correct digits = 4 h = 0.001 memory used=1365.6MB, alloc=4.9MB, time=62.60 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.524e+04 Order of pole = 1.606e+08 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.9MB, time=62.77 t[1] = 1.798 x2[1] (analytic) = 1.0073401157254024398540193869271 x2[1] (numeric) = 1.0073663974750329180607601279411 absolute error = 2.6281749630478206740741013967022e-05 relative error = 0.0026090244218609600321709005237504 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002981336702693668479512501849 x1[1] (numeric) = 2.0002622022106786094738792587983 absolute error = 3.5931459590757374071991386627380e-05 relative error = 0.001796305210005277274046840976115 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.527e+04 Order of pole = 1.608e+08 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.9MB, time=62.95 t[1] = 1.799 x2[1] (analytic) = 1.007354661505433295136718331813 x2[1] (numeric) = 1.0073811537581192994119966811019 absolute error = 2.6492252686004275278349288892715e-05 relative error = 0.0026298833666400208496268791331141 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002978356856162560904940564225 x1[1] (numeric) = 2.0002616608736893705315158514958 absolute error = 3.6174811926885558978204926706514e-05 relative error = 0.0018084712827020775072363765391082 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.529e+04 Order of pole = 1.609e+08 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.9MB, time=63.12 t[1] = 1.8 x2[1] (analytic) = 1.007369236555202073512007994596 x2[1] (numeric) = 1.0073959403965285445159175635757 absolute error = 2.6703841326471003909568979695609e-05 relative error = 0.0026508493963730130324553075484954 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002975379987988557689342484968 x1[1] (numeric) = 2.000261118995092383610198850002 absolute error = 3.6419003706472158735398494777341e-05 relative error = 0.0018206793246822477326907114595013 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.532e+04 Order of pole = 1.611e+08 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.9MB, time=63.30 t[1] = 1.801 x2[1] (analytic) = 1.0073838409331578369591224156802 x2[1] (numeric) = 1.0074107574518456814274873562955 absolute error = 2.6916518687844468364940615276060e-05 relative error = 0.0026719228157274402190610041763584 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002972406095194790410642692378 x1[1] (numeric) = 2.0002605765743457700677847817459 absolute error = 3.6664035173708973279487491893918e-05 relative error = 0.0018329293481671209957450364181317 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.535e+04 Order of pole = 1.612e+08 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.9MB, time=63.47 t[1] = 1.802 x2[1] (analytic) = 1.0073984746978668114752663933544 x2[1] (numeric) = 1.0074256049857798455481300790156 absolute error = 2.7130287913034072863685661210851e-05 relative error = 0.0026931039300184401845292931291108 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002969435174807366027249500013 x1[1] (numeric) = 2.0002600336109071091124583739221 absolute error = 3.6909906573627490266576079189432e-05 relative error = 0.0018452213654199853042943874655282 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.538e+04 Order of pole = 1.614e+08 memory used=1388.5MB, alloc=4.9MB, time=63.65 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.9MB, time=63.82 t[1] = 1.803 x2[1] (analytic) = 1.0074131379080126214892922749583 x2[1] (numeric) = 1.0074404830601645289032476550736 absolute error = 2.7345152151907413955380115226724e-05 relative error = 0.0027143930452100489640572673205655 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002966467223855363904161817277 x1[1] (numeric) = 2.0002594901042334372603117164744 absolute error = 3.7156618152099130104465253271676e-05 relative error = 0.0018575553887460959450972697165334 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.540e+04 Order of pole = 1.616e+08 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.9MB, time=64.00 t[1] = 1.804 x2[1] (analytic) = 1.0074278306223965247448220107796 x2[1] (numeric) = 1.0074553917369578299196071533071 absolute error = 2.7561114561305174785142527553426e-05 relative error = 0.0027357904679164670275716258480136 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002963502239370832842048266836 x1[1] (numeric) = 2.0002589460537812477923807329403 absolute error = 3.7404170155835491824093743309761e-05 relative error = 0.0018699314304926878419407109475098 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.543e+04 Order of pole = 1.617e+08 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.9MB, time=64.17 t[1] = 1.805 x2[1] (analytic) = 1.0074425528999376476537541520277 x2[1] (numeric) = 1.0074703310782427037035983603453 absolute error = 2.7778178305056049844208317560623e-05 relative error = 0.002757296505403327507516522266372 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002960540218388788109295737964 x1[1] (numeric) = 2.0002584014590064902111384161951 absolute error = 3.7652562832388599791157601273457e-05 relative error = 0.0018823495030489879556793145436634 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.546e+04 Order of pole = 1.619e+08 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.9MB, time=64.35 t[1] = 1.806 x2[1] (analytic) = 1.0074573047996732211210973556252 x2[1] (numeric) = 1.0074853011462272128213652424179 absolute error = 2.7996346553991700267886792699670e-05 relative error = 0.0027789114655889664817902803664752 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002957581157947208477024407842 x1[1] (numeric) = 2.0002578563193645696964442855873 absolute error = 3.7901796430151151258155196965286e-05 relative error = 0.0018948096188462277261609226965147 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.549e+04 Order of pole = 1.620e+08 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.9MB, time=64.52 t[1] = 1.807 x2[1] (analytic) = 1.0074720863807588168420738437135 x2[1] (numeric) = 1.0075003020032447785818168657741 absolute error = 2.8215622485961739743022060670988e-05 relative error = 0.0028006356570456953138052134865285 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000295462505508703325706626585 x1[1] (numeric) = 2.000257310634310346560949521415 absolute error = 3.8151871198356764757105169911029e-05 relative error = 0.0019073117903576555560515422174964 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.551e+04 Order of pole = 1.622e+08 memory used=1411.4MB, alloc=4.9MB, time=64.70 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.9MB, time=64.87 t[1] = 1.808 x2[1] (analytic) = 1.007486897702468584072438154703 x2[1] (numeric) = 1.0075153337117544328235253587644 absolute error = 2.8436009285848751087204061422409e-05 relative error = 0.0028224693890010750516401220273067 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002951671906852159342904178801 x1[1] (numeric) = 2.0002567644032981357049572321493 absolute error = 3.8402787387080229333185730847264e-05 relative error = 0.0019198560300985493365722268130959 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.554e+04 Order of pole = 1.624e+08 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.9MB, time=65.05 t[1] = 1.809 x2[1] (analytic) = 1.0075017388241954868729584154128 x2[1] (numeric) = 1.0075303963343410702065205166453 absolute error = 2.8657510145583333562101232555940e-05 relative error = 0.0028444129713391928882503415214703 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002948721710289438253568538092 x1[1] (numeric) = 2.0002562176257817060707373092627 absolute error = 3.8654545247237754619544546466024e-05 relative error = 0.0019324423506262290151606511599271 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.557e+04 Order of pole = 1.625e+08 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.9MB, time=65.22 t[1] = 1.81 x2[1] (analytic) = 1.0075166098054515418290092603443 x2[1] (numeric) = 1.0075454899337157010099926722048 absolute error = 2.8880128264159180983411860483926e-05 relative error = 0.0028664667146019406846954701383393 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002945774462448673180488532632 x1[1] (numeric) = 2.000255670301214280096295323981 absolute error = 3.8907145030587221753529282247301e-05 relative error = 0.0019450707645400692050701536246604 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.560e+04 Order of pole = 1.627e+08 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.9MB, time=65.40 t[1] = 1.811 x2[1] (analytic) = 1.0075315107058680562462274244371 x2[1] (numeric) = 1.0075606145727157044369174813978 absolute error = 2.9103866847648190690056960735077e-05 relative error = 0.0028886309299902955583401196999148 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002942830160382616037295094424 x1[1] (numeric) = 2.0002551224290485331685949197227 absolute error = 3.9160586989728435134589719630837e-05 relative error = 0.0019577412844815118369190659938878 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.563e+04 Order of pole = 1.629e+08 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.9MB, time=65.57 t[1] = 1.812 x2[1] (analytic) = 1.0075464415851958668231829397556 x2[1] (numeric) = 1.0075757703143050824266183033303 absolute error = 2.9328729109215603435363574672215e-05 relative error = 0.0029109059293656025379782079535034 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000293988880114696451257256659 x1[1] (numeric) = 2.0002545740087365930762331534535 absolute error = 3.9414871378103375024103205450304e-05 relative error = 0.0019704539231340788522031901128011 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.565e+04 Order of pole = 1.630e+08 memory used=1434.3MB, alloc=4.9MB, time=65.75 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.9MB, time=65.92 t[1] = 1.813 x2[1] (analytic) = 1.0075614025033055788020207744727 x2[1] (numeric) = 1.0075909572215747139762838881397 absolute error = 2.9554718269135174263113667053612e-05 relative error = 0.0029332920252508592878264418019646 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.00029369503818003591255561466 x1[1] (numeric) = 2.0002540250397300394615682386266 absolute error = 3.9669998449996450987376033476382e-05 relative error = 0.0019832086932233849387843228790527 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.568e+04 Order of pole = 1.632e+08 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.9MB, time=66.10 t[1] = 1.814 x2[1] (analytic) = 1.00757639352018780559802966425 x2[1] (numeric) = 1.0076061753577426099724611246098 absolute error = 2.9781837554804374431460359856175e-05 relative error = 0.0029557895308320029023277312446768 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002934014899404380284772160393 x1[1] (numeric) = 2.0002534755214799032722991418392 absolute error = 3.9925968460534756178074200091220e-05 relative error = 0.0019960056075171503083677725993896 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.571e+04 Order of pole = 1.633e+08 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.9MB, time=66.28 t[1] = 1.815 x2[1] (analytic) = 1.0075914146959534089090968016793 x2[1] (numeric) = 1.0076214247861541685335446417224 absolute error = 3.0010090200759624447840043090422e-05 relative error = 0.0029783987599591987737003217404665 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000293108235102354534961822603 x1[1] (numeric) = 2.0002529254534366662124964847845 absolute error = 4.0182781665688322465337818546236e-05 relative error = 0.0020088446788252135159818512916422 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.574e+04 Order of pole = 1.635e+08 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.9MB, time=66.45 t[1] = 1.816 x2[1] (analytic) = 1.0076064660908337393060089688433 x2[1] (numeric) = 1.0076367055702824308642871048068 absolute error = 3.0239479448691558278135963483909e-05 relative error = 0.0030011200271481315341634383769392 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002928152733725305694880368477 x1[1] (numeric) = 2.0002523748350502601930842025288 absolute error = 4.0440438322270376403834318938933e-05 relative error = 0.0020217259199995443214723691034508 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.577e+04 Order of pole = 1.637e+08 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.9MB, time=66.63 t[1] = 1.817 x2[1] (analytic) = 1.0076215477651808773045626212966 x2[1] (numeric) = 1.007652017773728337623356097504 absolute error = 3.0470008547460318793476207402419e-05 relative error = 0.0030239536475812980747651984272306 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002925226044580043778184150004 x1[1] (numeric) = 2.0002518236657700667817714085965 absolute error = 4.0698938687937596047006403983254e-05 relative error = 0.0020346493439342565930251986217617 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.579e+04 Order of pole = 1.638e+08 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.9MB, time=66.80 memory used=1461.0MB, alloc=4.9MB, time=66.98 t[1] = 1.818 x2[1] (analytic) = 1.0076366597794678749204473588551 x2[1] (numeric) = 1.0076673614602209858049655354208 absolute error = 3.0701680753110884518176565728706e-05 relative error = 0.0030468999371093026427334694027925 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002922302280661070210376883681 x1[1] (numeric) = 2.0002512719450449166524339167942 absolute error = 4.0958283021190368603771573842839e-05 relative error = 0.0020476149635656212527300184636702 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.582e+04 Order of pole = 1.640e+08 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.9MB, time=67.16 t[1] = 1.819 x2[1] (analytic) = 1.0076518021942889977078691495317 x2[1] (numeric) = 1.0076827366936178861356116161279 absolute error = 3.0934499328888427742466596139748e-05 relative error = 0.0030699592122521540192652273764388 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000291938143904462082883800033 x1[1] (numeric) = 2.0002507196723230890339448691562 absolute error = 4.1218471581373048938930876748176e-05 relative error = 0.0020606227918720792641983871696517 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.585e+04 Order of pole = 1.642e+08 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.9MB, time=67.33 t[1] = 1.82 x2[1] (analytic) = 1.0076669750703599672828816077678 x2[1] (numeric) = 1.0076981435379052209869453730507 absolute error = 3.1168467545253704063765282829334e-05 relative error = 0.0030931317902005647796648049597984 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002916463516809853773714642261 x1[1] (numeric) = 2.0002501668470523111584539188403 absolute error = 4.1479504628674218917545385827942e-05 relative error = 0.0020736728418742546622493400646685 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.588e+04 Order of pole = 1.643e+08 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.9MB, time=67.51 t[1] = 1.821 x2[1] (analytic) = 1.0076821784685182043323955667975 x2[1] (numeric) = 1.0077135820571981028058159678333 absolute error = 3.1403588679898473420401035728202e-05 relative error = 0.0031164179888172526377362096792019 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002913548511038846567079560016 x1[1] (numeric) = 2.0002496134686797577091144162551 absolute error = 4.1741382424126947593539746552622e-05 relative error = 0.0020867651266349676246757434110863 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.590e+04 Order of pole = 1.645e+08 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.9MB, time=67.68 t[1] = 1.822 x2[1] (analytic) = 1.0076974124497230721098391275491 x2[1] (numeric) = 1.0077290523157408330625209269203 absolute error = 3.1639866017760952681799371195060e-05 relative error = 0.0031398181266382438763294414088118 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002910636418816593195008391279 x1[1] (numeric) = 2.0002490595366520502672580461445 absolute error = 4.2004105229609052242792983415634e-05 relative error = 0.0020998996592592475861046818498359 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.593e+04 Order of pole = 1.647e+08 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.9MB, time=67.86 memory used=1483.9MB, alloc=4.9MB, time=68.03 t[1] = 1.823 x2[1] (analytic) = 1.0077126770750561204184423129447 x2[1] (numeric) = 1.0077445543779071617183016034192 absolute error = 3.1877302851041299859290474505474e-05 relative error = 0.0031633325228741788659354417937919 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002907727237231001192573404034 x1[1] (numeric) = 2.0002485050504152567590163628044 absolute error = 4.2267673307843360240977598964519e-05 relative error = 0.0021130764528943463939651968128444 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.596e+04 Order of pole = 1.648e+08 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.9MB, time=68.21 t[1] = 1.824 x2[1] (analytic) = 1.0077279724057213300831224068129 x2[1] (numeric) = 1.0077600883082005472131242247747 absolute error = 3.2115902479217130001817961770038e-05 relative error = 0.0031869614974116196732189690330898 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002904820963372888731750788965 x1[1] (numeric) = 2.0002479500094148909013886700535 absolute error = 4.2532086922397971786408843043122e-05 relative error = 0.0021262955207297515065767352904818 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.599e+04 Order of pole = 1.650e+08 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.9MB, time=68.38 t[1] = 1.825 x2[1] (analytic) = 1.0077432985030453579119480108855 x2[1] (numeric) = 1.0077756541712544169747889704212 absolute error = 3.2355668209059062840959535687433e-05 relative error = 0.0032107053708143597613733077939093 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002901917594335981712238589003 x1[1] (numeric) = 2.0002473944130959116477556920252 absolute error = 4.2797346337686523468166875115927e-05 relative error = 0.0021395568759971992333717100526568 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.602e+04 Order of pole = 1.652e+08 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.9MB, time=68.56 t[1] = 1.826 x2[1] (analytic) = 1.0077586554284777821481618115211 x2[1] (numeric) = 1.0077912520318324284504116113874 absolute error = 3.2596603354646302249799866302180e-05 relative error = 0.0032345644643247357841752962004204 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002899017127216910855182356826 x1[1] (numeric) = 2.0002468382609027226328384802948 absolute error = 4.3063451818968452679755387818661e-05 relative error = 0.0021528605319706880172656141512971 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.604e+04 Order of pole = 1.653e+08 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.9MB, time=68.74 t[1] = 1.827 x2[1] (analytic) = 1.0077740432435913484137440098873 x2[1] (numeric) = 1.0078068819548287306613243358126 absolute error = 3.2838711237382247580325925212158e-05 relative error = 0.0032585390998649414756136795792399 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002896119559115208799805634067 x1[1] (numeric) = 2.0002462815522791716171020023013 absolute error = 4.3330403632349262878561105415842e-05 relative error = 0.0021662065019664917591881742752977 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.607e+04 Order of pole = 1.655e+08 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.9MB, time=68.91 memory used=1506.8MB, alloc=4.9MB, time=69.09 t[1] = 1.828 x2[1] (analytic) = 1.0077894620100822161455003353519 x2[1] (numeric) = 1.0078225440052682262824444805119 absolute error = 3.3081995186010136944145159979681e-05 relative error = 0.0032826296000383436369582837546046 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002893224887133307202942348824 x1[1] (numeric) = 2.0002457242866685499306028554657 absolute error = 4.3598202044780789691379416646868e-05 relative error = 0.0021795947993431731847890692866656 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.610e+04 Order of pole = 1.656e+08 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.9MB, time=69.26 t[1] = 1.829 x2[1] (analytic) = 1.007804911789770205524660531787 x2[1] (numeric) = 1.0078382382483068342471619891024 absolute error = 3.3326458536628722501457315365240e-05 relative error = 0.0033068362881308002231319389671279 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002890333108376533841468231034 x1[1] (numeric) = 2.0002451664635135919162805508559 absolute error = 4.3866847324061467866272247508441e-05 relative error = 0.002193025437501597253331782038554 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.613e+04 Order of pole = 1.658e+08 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.9MB, time=69.44 t[1] = 1.83 x2[1] (analytic) = 1.0078203926445990449009751803877 x2[1] (numeric) = 1.0078539647492317528787985217776 absolute error = 3.3572104632707977823341389949312e-05 relative error = 0.0033311594881119805302414787410742 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002887444219953109717628348128 x1[1] (numeric) = 2.0002446080822564743726918096869 absolute error = 4.4136339738836599071025125853475e-05 relative error = 0.0022064984298849446087891943622284 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.616e+04 Order of pole = 1.660e+08 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.9MB, time=69.61 t[1] = 1.831 x2[1] (analytic) = 1.0078359046366366187123007004565 x2[1] (numeric) = 1.0078697235734617235496932506178 absolute error = 3.3818936825104837392550161260332e-05 relative error = 0.0033555995246366874861184860450233 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002884558218974146167257866287 x1[1] (numeric) = 2.0002440491423388159961873153924 absolute error = 4.4406679558598620538471236285837e-05 relative error = 0.0022200137899787250731545769107535 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.618e+04 Order of pole = 1.661e+08 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.9MB, time=69.79 t[1] = 1.832 x2[1] (analytic) = 1.0078514478280752159006643514128 x2[1] (numeric) = 1.007885514786547294868972487333 absolute error = 3.4066958472078968308135920212333e-05 relative error = 0.0033801567230461820457147616777326 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002881675102553641970893145545 x1[1] (numeric) = 2.0002434896432016768225303634438 absolute error = 4.4677867053687374558951110697382e-05 relative error = 0.0022335715313107911819816673623974 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.621e+04 Order of pole = 1.663e+08 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.9MB, time=69.97 memory used=1529.7MB, alloc=4.9MB, time=70.14 t[1] = 1.833 x2[1] (analytic) = 1.0078670222812317788258030450627 x2[1] (numeric) = 1.0079013384541710874000624075897 absolute error = 3.4316172939308574259362527001490e-05 relative error = 0.003404831409369509693191746762364 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000287879486780848046777027982 x1[1] (numeric) = 2.000242929584285557667956850535 absolute error = 4.4949902495290378820177446929431e-05 relative error = 0.0022471716674513517621675723164446 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.624e+04 Order of pole = 1.665e+08 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.9MB, time=70.32 t[1] = 1.834 x2[1] (analytic) = 1.0078826280585481526771717669179 x2[1] (numeric) = 1.007917194642148058909006257554 absolute error = 3.4566583599906231834490636145309e-05 relative error = 0.0034296239103248290525373423447582 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000287591751185842667270819589 x1[1] (numeric) = 2.0002423689650303995696760441936 absolute error = 4.5222786155443097594775395446027e-05 relative error = 0.0022608142120129855519922700583343 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.627e+04 Order of pole = 1.666e+08 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.9MB, time=70.49 t[1] = 1.835 x2[1] (analytic) = 1.0078982652225913353854193990837 x2[1] (numeric) = 1.0079330834164257701446495540223 absolute error = 3.4818193834434759230154938601156e-05 relative error = 0.0034545345533207426085377341611307 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002873043031826124395873428198 x1[1] (numeric) = 2.0002418077848755832258115733182 absolute error = 4.5496518307029213775769501581863e-05 relative error = 0.0022744991786506548634285332298408 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.630e+04 Order of pole = 1.668e+08 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.9MB, time=70.66 t[1] = 1.836 x2[1] (analytic) = 1.0079139338360537280343317349669 x2[1] (numeric) = 1.0079490048430846511517589195013 absolute error = 3.5071007030923117427184534402775e-05 relative error = 0.0034795636664576295399259494627725 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002870171424837093365423689232 x1[1] (numeric) = 2.0002412460432599284347820795843 absolute error = 4.5771099223780901760289338874495e-05 relative error = 0.0022882265810617192867361323134234 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.633e+04 Order of pole = 1.670e+08 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.9MB, time=70.84 t[1] = 1.837 x2[1] (analytic) = 1.0079296339617533857742434777745 x2[1] (numeric) = 1.007964958988338268118142327855 absolute error = 3.5325026584882343898850080536299e-05 relative error = 0.0035047115785289806665229451546893 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002867302688019726353027358145 x1[1] (numeric) = 2.0002406837396216935341209690973 absolute error = 4.6046529180279101181766717209209e-05 relative error = 0.0023019964329859494373542227279369 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.635e+04 Order of pole = 1.671e+08 TOP MAIN SOLVE Loop memory used=1548.7MB, alloc=4.9MB, time=71.01 memory used=1552.6MB, alloc=4.9MB, time=71.19 t[1] = 1.838 x2[1] (analytic) = 1.0079453656626342692379230205129 x2[1] (numeric) = 1.0079809459185335907568406746693 absolute error = 3.5580255899321518917654156373583e-05 relative error = 0.0035299786190227355121810522155435 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002864436818505286302256013126 x1[1] (numeric) = 2.0002401208733985748387347031146 absolute error = 4.6322808451953791490898197996560e-05 relative error = 0.0023158087482055407451058602356469 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.638e+04 Order of pole = 1.673e+08 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.9MB, time=71.36 t[1] = 1.839 x2[1] (analytic) = 1.0079611290017664964599358149402 x2[1] (numeric) = 1.0079969657001512602244627292936 absolute error = 3.5836698384763764526914353424564e-05 relative error = 0.003555365118122621485333580210988 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002861573813427903459847135906 x1[1] (numeric) = 2.0002395574440277060785990660933 absolute error = 4.6599937315084267385647497367990e-05 relative error = 0.0023296635405451272857286312779877 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.641e+04 Order of pole = 1.675e+08 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.9MB, time=71.54 t[1] = 1.84 x2[1] (analytic) = 1.0079769240423465953004941506983 x2[1] (numeric) = 1.0080130183998058575767376726263 absolute error = 3.6094357459262276243521927996526e-05 relative error = 0.003580871406709495178948317484038 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002858713669924572509834119675 x1[1] (numeric) = 2.0002389934509456578358928487601 absolute error = 4.6877916046799415090563207414868e-05 relative error = 0.0023435608238717956547454267897597 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.644e+04 Order of pole = 1.676e+08 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.9MB, time=71.72 t[1] = 1.841 x2[1] (analytic) = 1.0079927508476977563748031836555 x2[1] (numeric) = 1.0080291040842461727623615761106 absolute error = 3.6353236548416387558392455092737e-05 relative error = 0.003606497816362685791676547096313 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000285585638513514971054071453 x1[1] (numeric) = 2.0002384288935884369815683833382 absolute error = 4.7156744925077989485688114811703e-05 relative error = 0.0023575006120950988836894299885385 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.647e+04 Order of pole = 1.678e+08 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.9MB, time=71.89 t[1] = 1.842 x2[1] (analytic) = 1.0080086094812700864889150743283 x2[1] (numeric) = 1.0080452228203554741562163331184 absolute error = 3.6613339085387667301258790082953e-05 relative error = 0.0036322446793613406719830355939212 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002853001956202350034437047457 x1[1] (numeric) = 2.0002378637713914861113583674999 absolute error = 4.7436424228748892085337245755945e-05 relative error = 0.0023714829191670703986974305980036 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.649e+04 Order of pole = 1.680e+08 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.9MB, time=72.07 memory used=1575.5MB, alloc=4.9MB, time=72.24 t[1] = 1.843 x2[1] (analytic) = 1.0080245000066408625831051231481 x2[1] (numeric) = 1.0080613746751517786330417139299 absolute error = 3.6874668510916049936590781871900e-05 relative error = 0.0036581123286857729870362409718336 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002850150380271744310854356689 x1[1] (numeric) = 2.0002372980837896829812184130528 absolute error = 4.7716954237491449867022616025577e-05 relative error = 0.0023855077590822380214856199407112 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.652e+04 Order of pole = 1.682e+08 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.9MB, time=72.42 t[1] = 1.844 x2[1] (analytic) = 1.008040422487514786183785819276 x2[1] (numeric) = 1.008077559715788122182643379864 absolute error = 3.7137228273335998857560588018303e-05 relative error = 0.003684101098018811518131727600502 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002847301654491756371555583171 x1[1] (numeric) = 2.000236731830217339942204754802 absolute error = 4.7998335231835694950803515102488e-05 relative error = 0.0023995751458776380127220633276042 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.655e+04 Order of pole = 1.683e+08 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.9MB, time=72.59 t[1] = 1.845 x2[1] (analytic) = 1.0080563769877242383649767536866 x2[1] (numeric) = 1.0080937780095528310677218608057 absolute error = 3.7401021828592702745107119056604e-05 relative error = 0.0037102113217471525844154691471803 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002844455776013660199158964694 x1[1] (numeric) = 2.0002361650101082033747865544656 absolute error = 4.8280567493162645129342003735222e-05 relative error = 0.0024136850936328291578100881782801 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.658e+04 Order of pole = 1.685e+08 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.9MB, time=72.77 t[1] = 1.846 x2[1] (analytic) = 1.0080723635712295352203503853164 x2[1] (numeric) = 1.008110029623869793525409673403 absolute error = 3.7666052640258305059288086687656e-05 relative error = 0.0037364433349627140966673654601684 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002841612741991577078411781113 x1[1] (numeric) = 2.0002355976228954531225922339563 absolute error = 4.8563651303704585248944155019967e-05 relative error = 0.0024278376164699068950968683277934 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.661e+04 Order of pole = 1.687e+08 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.9MB, time=72.95 t[1] = 1.847 x2[1] (analytic) = 1.008088382302119183846875691238 x2[1] (numeric) = 1.0081263146262987320136059345871 absolute error = 3.7932324179548166730243349075764e-05 relative error = 0.0037627974734639917428988957745616 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002838772549582472750311401944 x1[1] (numeric) = 2.0002350296680117019255892717744 absolute error = 4.8847586946545349441868420064482e-05 relative error = 0.0024420327285535174865215270125754 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.664e+04 Order of pole = 1.688e+08 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.9MB, time=73.13 memory used=1598.3MB, alloc=4.9MB, time=73.31 t[1] = 1.848 x2[1] (analytic) = 1.0081044332446101388410837780709 x2[1] (numeric) = 1.0081426330845354760032000068076 absolute error = 3.8199839925337162116228736761167e-05 relative error = 0.003789274073757417307512378229866 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002835935195946154569070790439 x1[1] (numeric) = 2.0002344611448889948526968956934 absolute error = 4.9132374705620604210183350566850e-05 relative error = 0.0024562704440908722307171230799571 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.666e+04 Order of pole = 1.690e+08 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.9MB, time=73.48 t[1] = 1.849 x2[1] (analytic) = 1.0081205164630480593089815821825 x2[1] (numeric) = 1.0081589850664122353172778974877 absolute error = 3.8468603364176008296315305213948e-05 relative error = 0.0038158734730587191257628043491481 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002833100678245268661925621116 x1[1] (numeric) = 2.0002338920529588087338311043494 absolute error = 4.9418014865718132361457762190353e-05 relative error = 0.002470550777331761718580927032823 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.669e+04 Order of pole = 1.692e+08 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.9MB, time=73.66 t[1] = 1.85 x2[1] (analytic) = 1.0081366320219075663906418406903 x2[1] (numeric) = 1.0081753706398978740184073256856 absolute error = 3.8738617990307627765484995363241e-05 relative error = 0.0038425960092942846752566666015944 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002830268993645297091780170548 x1[1] (numeric) = 2.0002333223916520515913814497804 absolute error = 4.9704507712478117796567274448319e-05 relative error = 0.0024848737425685701313274356031459 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.672e+04 Order of pole = 1.693e+08 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.9MB, time=73.84 t[1] = 1.851 x2[1] (analytic) = 1.0081527799857925013004995738322 x2[1] (numeric) = 1.0081917898730981848450995638243 absolute error = 3.9009887305683544599989992081295e-05 relative error = 0.003869442021102525306215597240138 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000282744013931455502268914406 x1[1] (numeric) = 2.0002327521603990620711190123911 absolute error = 4.9991853532393431149902014929191e-05 relative error = 0.0024992393541362895810386156455845 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.675e+04 Order of pole = 1.695e+08 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.9MB, time=74.01 t[1] = 1.852 x2[1] (analytic) = 1.0081689604194361838843873819642 x2[1] (numeric) = 1.0082082428342561641985483616173 absolute error = 3.9282414819980314160979653133369e-05 relative error = 0.0038964118478352431122259870570767 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002824614112424187888172603809 x1[1] (numeric) = 2.0002321813586296088725349992528 absolute error = 5.0280052612809916282261128093336e-05 relative error = 0.0025136476264125344937259102550296 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.678e+04 Order of pole = 1.697e+08 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.9MB, time=74.19 memory used=1621.2MB, alloc=4.9MB, time=74.37 t[1] = 1.853 x2[1] (analytic) = 1.0081851733877016716943439272538 x2[1] (numeric) = 1.0082247295917522876807484629919 absolute error = 3.9556204050615986404535738070627e-05 relative error = 0.0039235058295589999431890533165976 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002821790910148168562361166562 x1[1] (numeric) = 2.0002316099857728901786093960747 absolute error = 5.0569105241926677626720581559978e-05 relative error = 0.0025280985738175560349185821399753 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.681e+04 Order of pole = 1.698e+08 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.9MB, time=74.55 t[1] = 1.854 x2[1] (analytic) = 1.0082014189555820195822320410919 x2[1] (numeric) = 1.0082412502141047861850984348904 absolute error = 3.9831258522766602866393798494306e-05 relative error = 0.0039507243070564885621790766862858 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002818970529663294533968642333 x1[1] (numeric) = 2.0002310380412575330850091026175 absolute error = 5.0859011708796368387761615775998e-05 relative error = 0.0025425922108142565777930114269303 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.683e+04 Order of pole = 1.700e+08 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.9MB, time=74.72 t[1] = 1.855 x2[1] (analytic) = 1.0082176971882005398132049733433 x2[1] (numeric) = 1.0082578047699699225405947393419 absolute error = 4.0107581769382727389765998606626e-05 relative error = 0.0039780676218279059479107272818065 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000281615296814918508308928782 x1[1] (numeric) = 2.0002304655245115930287149807458 absolute error = 5.1149772303325479593948036219084e-05 relative error = 0.0025571285519082042138576072298033 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.686e+04 Order of pole = 1.702e+08 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.9MB, time=74.90 t[1] = 1.856 x2[1] (analytic) = 1.0082340081508110627000613788074 x2[1] (numeric) = 1.0082743933281422687107261971259 absolute error = 4.0385177331206010664818318539678e-05 relative error = 0.0040055361160923287445095497410169 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002813338222788278460816851476 x1[1] (numeric) = 2.0002298924349625532160772437467 absolute error = 5.1441387316274630004441400836589e-05 relative error = 0.0025717076116476473062080344923314 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.689e+04 Order of pole = 1.704e+08 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.9MB, time=75.07 t[1] = 1.857 x2[1] (analytic) = 1.008250351908798197759531719676 x2[1] (numeric) = 1.0082910159575549835481802127291 absolute error = 4.0664048756785788648493053171078e-05 relative error = 0.0040331301327890908602727763360714 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.00028105262907658290716825898 x1[1] (numeric) = 2.0002293187720373240502986149708 absolute error = 5.1733857039258856869644009259462e-05 relative error = 0.0025863294046235290853674998012251 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.692e+04 Order of pole = 1.705e+08 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.9MB, time=75.25 memory used=1644.1MB, alloc=4.9MB, time=75.42 t[1] = 1.858 x2[1] (analytic) = 1.0082667285276775953915408503603 x2[1] (numeric) = 1.0083076727272800911064743561168 absolute error = 4.0944199602495714933505756549345e-05 relative error = 0.0040608500155791632171006852941963 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002807717169269904658909437311 x1[1] (numeric) = 2.0002287445351622425583446832766 absolute error = 5.2027181764747907546260454458463e-05 relative error = 0.002600993945469502287726882072804 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.695e+04 Order of pole = 1.707e+08 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.9MB, time=75.60 t[1] = 1.859 x2[1] (analytic) = 1.0082831380730962090824936428231 x2[1] (numeric) = 1.0083243637065287595096291271203 absolute error = 4.1225633432550427135484297218150e-05 relative error = 0.0040886961088465356522717185085319 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002804910855491383492479515437 x1[1] (numeric) = 2.0002281697237630718172808821918 absolute error = 5.2321361786066531967069351928511e-05 relative error = 0.0026157012488619438365995362365458 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.698e+04 Order of pole = 1.709e+08 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.9MB, time=75.77 t[1] = 1.86 x2[1] (analytic) = 1.0082995806108325581336326065058 x2[1] (numeric) = 1.008341088964651580380999962989 absolute error = 4.1508353819022247367356483203791e-05 relative error = 0.0041166687576996009742275184578576 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002802107346623951560012168411 x1[1] (numeric) = 2.0002275943372650003800355191249 absolute error = 5.2616397397394775965697716197280e-05 relative error = 0.0026304513295199695659056402752023 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.701e+04 Order of pole = 1.710e+08 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.9MB, time=75.95 t[1] = 1.861 x2[1] (analytic) = 1.008316056206796990915518557086 x2[1] (numeric) = 1.0083578485711388488323887888737 absolute error = 4.1792364341857916870231787772180e-05 relative error = 0.0041447683079725411740269381954655 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002799306639864099760449717025 x1[1] (numeric) = 2.000227018375092641700588280393 absolute error = 5.2912288893768275456691309456847e-05 relative error = 0.002645244202205448986500998232991 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.703e+04 Order of pole = 1.712e+08 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.9MB, time=76.12 t[1] = 1.862 x2[1] (analytic) = 1.0083325649270319486496874926567 x2[1] (numeric) = 1.0083746425956208440145576547155 absolute error = 4.2077668588895364870162058829490e-05 relative error = 0.0041729951062267157941209204895318 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002796508732411121100548123949 x1[1] (numeric) = 2.0002264418366700335585836372524 absolute error = 5.3209036571078551471175142413267e-05 relative error = 0.0026600798817230200951652540708935 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.706e+04 Order of pole = 1.714e+08 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.9MB, time=76.30 memory used=1667.0MB, alloc=4.9MB, time=76.48 t[1] = 1.863 x2[1] (analytic) = 1.0083491068377122297185389444804 x2[1] (numeric) = 1.008391471107868110230269250207 absolute error = 4.2364270155880511730305726594326e-05 relative error = 0.0042013494997520524560929323759115 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002793713621467107894169767094 x1[1] (numeric) = 2.0002258647214206374833685775463 absolute error = 5.3506640726073306048399163039158e-05 relative error = 0.0026749583829201042262645135313196 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.709e+04 Order of pole = 1.715e+08 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.9MB, time=76.65 t[1] = 1.864 x2[1] (analytic) = 1.0083656820051452545045131822605 x2[1] (numeric) = 1.0084083341777917386109813421969 absolute error = 4.2652172646484106468159936470303e-05 relative error = 0.0042298318365684395490023792944525 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002790921304236948964375520317 x1[1] (numeric) = 2.0002252870287673381774540870069 absolute error = 5.3805101656356718983465024799647e-05 relative error = 0.0026898797206869209461034134733713 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.712e+04 Order of pole = 1.717e+08 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.9MB, time=76.83 t[1] = 1.865 x2[1] (analytic) = 1.0083822904957713307596167708856 x2[1] (numeric) = 1.0084252318754436493583244361131 absolute error = 4.2941379672318598707665227458477e-05 relative error = 0.004258442465427121079961108396077 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002788131777928326848313343553 x1[1] (numeric) = 2.0002247087581324429393998036732 absolute error = 5.4104419660389745431530682103161e-05 relative error = 0.0027048439099565029899817204547036 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.715e+04 Order of pole = 1.719e+08 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.9MB, time=77.00 t[1] = 1.866 x2[1] (analytic) = 1.0083989323761639195063580968616 x2[1] (numeric) = 1.0084421642710168745514942247132 absolute error = 4.3231894852955045136127851532783e-05 relative error = 0.00428718173581209368856574330361 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002785345039751715004900587275 x1[1] (numeric) = 2.0002241299089376810861212683103 absolute error = 5.4404595037490414368790417206476e-05 relative error = 0.0027198509657047112419705826665709 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.718e+04 Order of pole = 1.721e+08 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.9MB, time=77.18 t[1] = 1.867 x2[1] (analytic) = 1.0084156077130299014711566081402 x2[1] (numeric) = 1.0084591314348458415216926537269 absolute error = 4.3523721815940050536045586723019e-05 relative error = 0.0043160499979415058268011723575331 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002782561086920375025297218943 x1[1] (numeric) = 2.0002235504806042033746191931347 absolute error = 5.4705628087834127910528759578912e-05 relative error = 0.0027349009029502497574236016751112 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.721e+04 Order of pole = 1.722e+08 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.9MB, time=77.35 t[1] = 1.868 memory used=1689.9MB, alloc=4.9MB, time=77.53 x2[1] (analytic) = 1.0084323165732098440512916408154 x2[1] (numeric) = 1.0084761334374066567947537047522 absolute error = 4.3816864196812743462063936774891e-05 relative error = 0.0043450476027690591060230389506198 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002779779916650353846167181942 x1[1] (numeric) = 2.0002229704725525814231301705784 absolute error = 5.5007519112453961486547615804539e-05 relative error = 0.0027499937367546808282379327842893 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.723e+04 Order of pole = 1.724e+08 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.9MB, time=77.70 t[1] = 1.869 x2[1] (analytic) = 1.0084490590236782688164588401755 x2[1] (numeric) = 1.0084931703493173906030922711093 absolute error = 4.4111325639121786633430933751945e-05 relative error = 0.0043741749019854118126195557241379 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000277700152616048096572510025 x1[1] (numeric) = 2.0002223898842028071316982432395 absolute error = 5.5310268413240964874266785474539e-05 relative error = 0.0027651294822224400908806652142474 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.726e+04 Order of pole = 1.726e+08 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.9MB, time=77.88 t[1] = 1.87 x2[1] (analytic) = 1.0084658351315439195460043218896 x2[1] (numeric) = 1.008510242241338361968116782257 absolute error = 4.4407109794442422112460367378008e-05 relative error = 0.0044034322480195845939453839336008 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002774225912672365662565544882 x1[1] (numeric) = 2.000221808714974292102166755592 absolute error = 5.5613876292944464089798896195326e-05 relative error = 0.0027803081545008516771957756831232 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.729e+04 Order of pole = 1.728e+08 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.9MB, time=78.05 t[1] = 1.871 x2[1] (analytic) = 1.0084826449640500308029088616826 x2[1] (numeric) = 1.0085273491843724243542485168394 absolute error = 4.4704220322393551339655156860164e-05 relative error = 0.0044328199940403683161126849637666 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000277145307341039421727208096 x1[1] (numeric) = 2.0002212269642858670575899074472 absolute error = 5.5918343055172364137300648812515e-05 relative error = 0.0027955297687801434080069913907498 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.732e+04 Order of pole = 1.729e+08 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.9MB, time=78.23 t[1] = 1.872 x2[1] (analytic) = 1.0084994885885745970455965487122 x2[1] (numeric) = 1.0085444912494652518956928334702 absolute error = 4.5002660890654850096284757951639e-05 relative error = 0.0044623384939577340952167625498372 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002768683005601727136803316991 x1[1] (numeric) = 2.0002206446315557812610634285769 absolute error = 5.6223669004391452616903122227217e-05 relative error = 0.0028107943402934620295319408290691 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.735e+04 Order of pole = 1.731e+08 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.9MB, time=78.41 t[1] = 1.873 x2[1] (analytic) = 1.0085163660726306422786444890235 x2[1] (numeric) = 1.0085616685078056261971098419841 memory used=1712.8MB, alloc=4.9MB, time=78.58 absolute error = 4.5302435174983918465352960682692e-05 relative error = 0.0044919881024242455035659715129305 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002765915706476296381653180755 x1[1] (numeric) = 2.0002200617162017019339737933298 absolute error = 5.6529854445927704191524745760265e-05 relative error = 0.0028261018843168884926230132866334 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.738e+04 Order of pole = 1.733e+08 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.9MB, time=78.76 t[1] = 1.874 x2[1] (analytic) = 1.0085332774838664902434723009187 x2[1] (numeric) = 1.0085788810307257237093343361008 absolute error = 4.5603546859233465862035182078370e-05 relative error = 0.0045217691748364729524777715104792 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002763151173266802595782648963 x1[1] (numeric) = 2.0002194782176407136736653934904 absolute error = 5.6836899685966585912871405902709e-05 relative error = 0.0028414524161694532748503903732634 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.741e+04 Order of pole = 1.734e+08 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.9MB, time=78.93 t[1] = 1.875 x2[1] (analytic) = 1.0085502228900660351500923038678 x2[1] (numeric) = 1.0085961288897014036812971112617 absolute error = 4.5905999635368531204807393868446e-05 relative error = 0.0045516820673364102531949522030741 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002760389403208712339320160608 x1[1] (numeric) = 2.0002188941352893178705250870473 absolute error = 5.7144805031553363406929013478147e-05 relative error = 0.0028568459512131517454427553658184 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.743e+04 Order of pole = 1.736e+08 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.9MB, time=79.11 t[1] = 1.876 x2[1] (analytic) = 1.0085672023591490129510034666825 x2[1] (numeric) = 1.0086134121563524966893020988308 absolute error = 4.6209797203483738298632148252015e-05 relative error = 0.0045817271368128933574681491144731 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002757630393540255324027946714 x1[1] (numeric) = 2.0002183094685634321244835399546 absolute error = 5.7453570790593407919254716734953e-05 relative error = 0.0028722825048529595731012286671706 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.746e+04 Order of pole = 1.738e+08 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.9MB, time=79.28 t[1] = 1.877 x2[1] (analytic) = 1.0085842159591712731583143491218 x2[1] (numeric) = 1.0086307309024430937448160598976 absolute error = 4.6514943271820586501710775783053e-05 relative error = 0.0046119047409030212793428070763375 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002754874141502421651531511953 x1[1] (numeric) = 2.0002177242168783896609327773896 absolute error = 5.7763197271852504220373805685219e-05 relative error = 0.0028877620925368481767021201778786 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.749e+04 Order of pole = 1.740e+08 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.9MB, time=79.46 t[1] = 1.878 x2[1] (analytic) = 1.0086012637583250512051824438683 x2[1] (numeric) = 1.0086480851998818359819298985973 absolute error = 4.6821441556784776747454728970998e-05 relative error = 0.0046422152379935791996807302682658 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002752120644338959054309506354 x1[1] (numeric) = 2.0002171383796489387460593604223 memory used=1735.7MB, alloc=4.9MB, time=79.63 absolute error = 5.8073684784957159371590213112966e-05 relative error = 0.0029032847297558002189041319037866 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.752e+04 Order of pole = 1.741e+08 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.9MB, time=79.81 t[1] = 1.879 x2[1] (analytic) = 1.0086183458249392413526595029495 x2[1] (numeric) = 1.0086654751207222049256529761834 absolute error = 4.7129295782963572993473233820432e-05 relative error = 0.0046726589872224637549382842506278 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002749369899296370139441228091 x1[1] (numeric) = 2.000216551956289242101592603431 absolute error = 5.8385033640394912351519378087860e-05 relative error = 0.0029188504320438251426756866628657 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.755e+04 Order of pole = 1.743e+08 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.9MB, time=79.99 t[1] = 1.88 x2[1] (analytic) = 1.0086354622274796701430346141597 x2[1] (numeric) = 1.0086829007371628133422041330495 absolute error = 4.7438509683143199169518889845778e-05 relative error = 0.0047032363484801105117151858055558 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002746621903623909635109001106 x1[1] (numeric) = 2.000215964946212876318967247012 absolute error = 5.8697244149514644543653098543097e-05 relative error = 0.0029344592149779747507581013111061 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.758e+04 Order of pole = 1.745e+08 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.9MB, time=80.16 t[1] = 1.881 x2[1] (analytic) = 1.008652613034549370400768978895 x2[1] (numeric) = 1.0087003621215476966724654565227 absolute error = 4.7749086998326271696477627671198e-05 relative error = 0.0047339476824109236285796306124396 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000274387665457358163985267406 x1[1] (numeric) = 2.0002153773488328312729000005455 absolute error = 5.9010316624526891085266860508174e-05 relative error = 0.0029501110941783588280803654802039 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.761e+04 Order of pole = 1.747e+08 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.9MB, time=80.34 t[1] = 1.882 x2[1] (analytic) = 1.0086697983148888557821185330442 x2[1] (numeric) = 1.0087178593463666050497671675369 absolute error = 4.8061031477749267648634492744534e-05 relative error = 0.0047647933504147077066672665498569 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002741134149400136874573489879 x1[1] (numeric) = 2.000214789163561509534379367995 absolute error = 5.9324251378504153077980992929846e-05 relative error = 0.0029658060853081608071413294092084 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.764e+04 Order of pole = 1.748e+08 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.9MB, time=80.51 t[1] = 1.883 x2[1] (analytic) = 1.0086870181373763958745427471901 x2[1] (numeric) = 1.0087353924842552959031743392646 absolute error = 4.8374346878900028631592074540084e-05 relative error = 0.0047957737146481018305432214967054 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002738394385361069937284577878 x1[1] (numeric) = 2.0002142003898107257830681699291 absolute error = 5.9639048725381210660287858668410e-05 relative error = 0.0029815442040736534763751470582413 % Correct digits = 4 h = 0.001 memory used=1758.6MB, alloc=4.9MB, time=80.69 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.766e+04 Order of pole = 1.750e+08 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.9MB, time=80.86 t[1] = 1.884 x2[1] (analytic) = 1.0087042725710282918470001413877 x2[1] (numeric) = 1.0087529616079958271474485054312 absolute error = 4.8689036967535300448364043482498e-05 relative error = 0.00482688913802601580080803866131 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002735657359716616560605323235 x1[1] (numeric) = 2.0002136110269917062191181741693 absolute error = 5.9954708979955436942358154222619e-05 relative error = 0.002997325466224214731515863314911 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.769e+04 Order of pole = 1.752e+08 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.9MB, time=81.04 t[1] = 1.885 x2[1] (analytic) = 1.0087215616849991526522332531928 x2[1] (numeric) = 1.008770566790516850960859565386 absolute error = 4.9005105517698308626312193278429e-05 relative error = 0.0048581399842230685599199594575575 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002732923069729750871996871297 x1[1] (numeric) = 2.0002130210745150879743962468767 absolute error = 6.0271232457887112803440253015684e-05 relative error = 0.0030131498875523433699770767431691 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.772e+04 Order of pole = 1.754e+08 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.9MB, time=81.22 t[1] = 1.886 x2[1] (analytic) = 1.0087388855485821717821480054377 x2[1] (numeric) = 1.0087882081048939081520257470527 absolute error = 4.9322556311736369877741614980362e-05 relative error = 0.0048895266176750288126975235300162 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002730191512666182656736026955 x1[1] (numeric) = 2.0002124305317909185231214353058 absolute error = 6.0588619475699742552167389667922e-05 relative error = 0.0030290174838936749282626519801239 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.775e+04 Order of pole = 1.755e+08 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.9MB, time=81.39 t[1] = 1.887 x2[1] (analytic) = 1.008756244231209404577394632493 x2[1] (numeric) = 1.0088058856243497231169617476445 absolute error = 4.9641393140318539567115151515863e-05 relative error = 0.0049210494035802578429579274630883 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002727462685794354623624812063 x1[1] (numeric) = 2.0002118393982286550919123928607 absolute error = 6.0906870350780370450088345589571e-05 relative error = 0.0030449282711269975624244985587887 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.778e+04 Order of pole = 1.757e+08 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.9MB, time=81.57 t[1] = 1.888 x2[1] (analytic) = 1.0087736378024520460922595404216 x2[1] (numeric) = 1.0088235994222544993875175355197 absolute error = 4.9961619802453295257995098184349e-05 relative error = 0.0049527087079011545277379977492975 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002724736586385439673432946611 x1[1] (numeric) = 2.0002112476732371640692445565016 absolute error = 6.1225985401379898098738159450803e-05 relative error = 0.003060882265174267971583475623934 % Correct digits = 4 h = 0.001 memory used=1781.5MB, alloc=4.9MB, time=81.74 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.781e+04 Order of pole = 1.759e+08 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.9MB, time=81.92 t[1] = 1.889 x2[1] (analytic) = 1.0087910663320207095159796975421 x2[1] (numeric) = 1.0088413495721262157723926647684 absolute error = 5.0283240105506256412967226342334e-05 relative error = 0.0049845048973656025505359894948282 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002722013211713338170070522091 x1[1] (numeric) = 2.0002106553562247204143164859595 absolute error = 6.1545964946613402690566249626113e-05 relative error = 0.0030768794820006273645295247141802 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.784e+04 Order of pole = 1.761e+08 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.9MB, time=82.10 t[1] = 1.89 x2[1] (analytic) = 1.008808529889765705151593377472 x2[1] (numeric) = 1.0088591361476309230919133270868 absolute error = 5.0606257865217940319949614758240e-05 relative error = 0.0050164383394684198150037198616222 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002719292559054675214488138234 x1[1] (numeric) = 2.0002100624465990070653247736239 absolute error = 6.1866809306460456124040199567728e-05 relative error = 0.0030929199376144174694171755062452 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.787e+04 Order of pole = 1.762e+08 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.9MB, time=82.27 t[1] = 1.891 x2[1] (analytic) = 1.0088260285456773199534433067294 x2[1] (numeric) = 1.0088769592225830415077617432059 absolute error = 5.0930676905721554318436476511708e-05 relative error = 0.0050485094024728100605097841391215 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002716574625688797921301777013 x1[1] (numeric) = 2.0002094689437671143471469333801 absolute error = 6.2188518801765444983244321238398e-05 relative error = 0.0031090036480671965865726121568991 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.790e+04 Order of pole = 1.764e+08 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.9MB, time=82.45 t[1] = 1.892 x2[1] (analytic) = 1.0088435623698860976244505034486 x2[1] (numeric) = 1.008894818870945658448849878618 absolute error = 5.1256501059560824399375169433481e-05 relative error = 0.0050807184554118166809857823587679 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002713859408897772698139690534 x1[1] (numeric) = 2.0002088748471355393784316760772 absolute error = 6.2511093754237891382292976228821e-05 relative error = 0.0031251306294537556844285306347091 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.792e+04 Order of pole = 1.766e+08 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.9MB, time=82.62 t[1] = 1.893 x2[1] (analytic) = 1.0088611314326631192742793327103 x2[1] (numeric) = 1.0089127151668308271345318555858 absolute error = 5.1583734167707860252522875525169e-05 relative error = 0.0051130658680897787484586052634687 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002711146905966382527708582174 x1[1] (numeric) = 2.0002082801561101854780959787184 absolute error = 6.2834534486452774674879498999735e-05 relative error = 0.0031413008979121345386030602071306 % Correct digits = 4 h = 0.001 memory used=1804.3MB, alloc=4.9MB, time=82.79 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.795e+04 Order of pole = 1.768e+08 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.9MB, time=82.97 t[1] = 1.894 x2[1] (analytic) = 1.0088787358044202846395165474181 x2[1] (numeric) = 1.0089306481844998656963518254482 absolute error = 5.1912380079581056835278030159597e-05 relative error = 0.0051455520110837892426628899744748 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002708437114182124252576363018 x1[1] (numeric) = 2.00020768487009636157122835387 absolute error = 6.3158841321850854029282431824431e-05 relative error = 0.0031575144696236379141390650389488 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.798e+04 Order of pole = 1.769e+08 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.9MB, time=83.15 t[1] = 1.895 x2[1] (analytic) = 1.0088963755557105938669893315732 x2[1] (numeric) = 1.0089486179983636568995264620489 absolute error = 5.2242442653063032537130475739042e-05 relative error = 0.0051781772557451554881187576107591 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002705730030835205862668768386 x1[1] (numeric) = 2.0002070889884987815943977251921 absolute error = 6.3484014584738991869151646464792e-05 relative error = 0.0031737713608128517909201846655479 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.801e+04 Order of pole = 1.771e+08 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.9MB, time=83.32 t[1] = 1.896 x2[1] (analytic) = 1.0089140507572284298613496152203 x2[1] (numeric) = 1.0089666246829829484653636387278 absolute error = 5.2573925754518604014023507479013e-05 relative error = 0.0052109419742008618000508871614876 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000270302565321854378547712194 x1[1] (numeric) = 2.0002064925107215639003673144006 absolute error = 6.3810054600290478180397793393932e-05 relative error = 0.0031900715877476596322800149290198 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.804e+04 Order of pole = 1.773e+08 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.9MB, time=83.50 t[1] = 1.897 x2[1] (analytic) = 1.0089317614798098411980541872679 x2[1] (numeric) = 1.0089846683130686539958212577396 absolute error = 5.2906833258812797767070471688785e-05 relative error = 0.0052438465393550343405158618402305 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002700323978627760178974537587 x1[1] (numeric) = 2.0002058954361682306622129443732 absolute error = 6.4136961694545355684509385481917e-05 relative error = 0.0032064151667392586968208738067593 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.807e+04 Order of pole = 1.775e+08 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.9MB, time=83.67 t[1] = 1.898 x2[1] (analytic) = 1.0089495077944328256028723938356 x2[1] (numeric) = 1.0090027489634821545014126122055 absolute error = 5.3241169049328898540218369937528e-05 relative error = 0.0052768913248904081860955457090311 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000269762500436118022723785209 x1[1] (numeric) = 2.0002052977642417072768451625195 absolute error = 6.4464736194410745878622689488743e-05 relative error = 0.0032228021141421763934586394209802 % Correct digits = 4 memory used=1827.2MB, alloc=4.9MB, time=83.85 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.810e+04 Order of pole = 1.777e+08 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.9MB, time=84.02 t[1] = 1.899 x2[1] (analytic) = 1.0089672897722176139990554757552 x2[1] (numeric) = 1.0090208667092356005336670767716 absolute error = 5.3576937017986534611601016428490e-05 relative error = 0.0053100767052697966085050092994183 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002694928727719829438772583998 x1[1] (numeric) = 2.0002046994943443217679345879343 absolute error = 6.4793378427661175942670465461633e-05 relative error = 0.0032392324463542866797101903935513 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.813e+04 Order of pole = 1.778e+08 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.9MB, time=84.20 t[1] = 1.9 x2[1] (analytic) = 1.0089851074844269551233038693665 x2[1] (numeric) = 1.0090390216254922149233573440579 absolute error = 5.3914141065259800053474691356585e-05 relative error = 0.0053434030557375625694542230231931 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002692235146007430947538217244 x1[1] (numeric) = 2.0002041006258778041882398852632 absolute error = 6.5122888722938906513936461212646e-05 relative error = 0.0032557061798168265032400216037548 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.816e+04 Order of pole = 1.780e+08 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.9MB, time=84.37 t[1] = 1.901 x2[1] (analytic) = 1.0090029610024664007116710698045 x2[1] (numeric) = 1.0090572137875665961257068497351 absolute error = 5.4252785100195414035779930601202e-05 relative error = 0.0053768707523210924310933761048133 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002689544256530402816671110412 x1[1] (numeric) = 2.0002035011582432860213377676047 absolute error = 6.5453267409754260329343436458382e-05 relative error = 0.0032722233310144122866826513170338 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.819e+04 Order of pole = 1.782e+08 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.9MB, time=84.55 t[1] = 1.902 x2[1] (analytic) = 1.0090208503978845912565449355875 x2[1] (numeric) = 1.0090754432709250221737934596799 absolute error = 5.4592873040430917248524092411794e-05 relative error = 0.0054104801718322718833622563251163 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002686856056597855344902335408 x1[1] (numeric) = 2.0002029010908412995827544301819 absolute error = 6.5784514818485951735803358937227e-05 relative error = 0.0032887839164750564557574785805757 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.822e+04 Order of pole = 1.784e+08 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.9MB, time=84.72 t[1] = 1.903 x2[1] (analytic) = 1.0090387757423735423358495974928 x2[1] (numeric) = 1.0090937101511857552413679281381 absolute error = 5.4934408812212905518330645385578e-05 relative error = 0.0054442316918689640895546417878271 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000268417054352158837566775195 x1[1] (numeric) = 2.0002023004230717774204978159121 memory used=1850.1MB, alloc=4.9MB, time=84.90 absolute error = 6.6116631280381417068959282881759e-05 relative error = 0.0033053879527701840106927927267111 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.824e+04 Order of pole = 1.785e+08 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.9MB, time=85.07 t[1] = 1.904 x2[1] (analytic) = 1.0090567371077689315156134234518 x2[1] (numeric) = 1.0091120145041193468163080761814 absolute error = 5.5277396350415300694652729622606e-05 relative error = 0.0054781256908164900513991099498582 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002681487714616088608907626988 x1[1] (numeric) = 2.0002016991543340517149901134102 absolute error = 6.6449617127557145900649288615760e-05 relative error = 0.0033220354565146491409756797876339 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.827e+04 Order of pole = 1.787e+08 TOP MAIN SOLVE Loop memory used=1857.8MB, alloc=4.9MB, time=85.24 t[1] = 1.905 x2[1] (analytic) = 1.0090747345660503858270507845315 x2[1] (numeric) = 1.0091303564056489434859320849866 absolute error = 5.5621839598557658881300455082703e-05 relative error = 0.0055121625478491111949480610370713 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002678807567198526915553110852 x1[1] (numeric) = 2.0002010972840268536783998873544 absolute error = 6.6783472692999013155423730767339e-05 relative error = 0.003338726444366751883444613604909 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.830e+04 Order of pole = 1.789e+08 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.9MB, time=85.42 t[1] = 1.906 x2[1] (analytic) = 1.0090927681893417698193076649862 x2[1] (numeric) = 1.0091487359318505933353967486046 absolute error = 5.5967742508823516089083618471919e-05 relative error = 0.0055463426429315141785570824413855 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002676130098588755654696884612 x1[1] (numeric) = 2.0002004948115483129533732405495 absolute error = 6.7118198310562612096447911643131e-05 relative error = 0.003355460933028254823741562414676 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.833e+04 Order of pole = 1.791e+08 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.9MB, time=85.60 t[1] = 1.907 x2[1] (analytic) = 1.0091108380499114741890234618886 x2[1] (numeric) = 1.0091671531589535529604089859317 absolute error = 5.6315109042078771385524043064794e-05 relative error = 0.0055806663568202979242270475045184 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002673455306109305993445295826 x1[1] (numeric) = 2.0001998917362959570111634064169 absolute error = 6.7453794314973588181123165693961e-05 relative error = 0.0033722389392443998411404847044159 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.836e+04 Order of pole = 1.793e+08 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.9MB, time=85.77 t[1] = 1.908 x2[1] (analytic) = 1.0091289442201727049878636269805 x2[1] (numeric) = 1.0091856081633405950954813715558 memory used=1873.0MB, alloc=4.9MB, time=85.95 absolute error = 5.6663943167890107617744575335939e-05 relative error = 0.0056151340710654628735715459790476 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002670783187085385229449302526 x1[1] (numeric) = 2.0001992880576667105491581700419 absolute error = 6.7790261041827973786760210720896e-05 relative error = 0.0033890604798039248967691311696655 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.839e+04 Order of pole = 1.794e+08 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.9MB, time=86.13 t[1] = 1.909 x2[1] (analytic) = 1.0091470867726837734091801151301 x2[1] (numeric) = 1.0092041010215483168589649100388 absolute error = 5.7014248864543449784794908744202e-05 relative error = 0.005649746168011902469662384158904 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002668113738844874116111547967 x1[1] (numeric) = 2.0001986837750568948878045153052 absolute error = 6.8127598827592523806639491522928e-05 relative error = 0.0034059255715390808652411126491904 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.842e+04 Order of pole = 1.796e+08 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.9MB, time=86.30 t[1] = 1.91 x2[1] (analytic) = 1.0091652657801483861549589201677 x2[1] (numeric) = 1.0092226318102674486160947480168 absolute error = 5.7366030119062461135827849100590e-05 relative error = 0.0056845030308008968659959699280343 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002665446958718324190466891352 x1[1] (numeric) = 2.0001980788878622273669298950231 absolute error = 6.8465808009605052116794112074596e-05 relative error = 0.0034228342313256484097152369848903 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.845e+04 Order of pole = 1.798e+08 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.9MB, time=86.48 t[1] = 1.911 x2[1] (analytic) = 1.0091834813154159363842162998795 x2[1] (numeric) = 1.0092412006063431634612869932677 absolute error = 5.7719290927227077070693388273599e-05 relative error = 0.0057194050433716088638134115261822 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002662782844038955103733722418 x1[1] (numeric) = 2.0001974733954778207414595204187 absolute error = 6.8804888926074768913851823044512e-05 relative error = 0.0034397864760829549003991608381643 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.848e+04 Order of pole = 1.800e+08 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.9MB, time=86.65 t[1] = 1.912 x2[1] (analytic) = 1.0092017334514817952440076176066 x2[1] (numeric) = 1.0092598074867753873209272896208 absolute error = 5.8074035293592076919672014160643e-05 relative error = 0.0057544525904625820789971084120948 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002660121392142651954533390415 x1[1] (numeric) = 2.000196867297298182576529065639 absolute error = 6.9144841916082618924273402524906e-05 relative error = 0.0034567823227738913765144455976455 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.851e+04 Order of pole = 1.802e+08 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.9MB, time=86.83 t[1] = 1.913 x2[1] (analytic) = 1.0092200222614876039842150582129 x2[1] (numeric) = 1.0092784525287191096778942812684 memory used=1895.9MB, alloc=4.9MB, time=87.01 absolute error = 5.8430267231505693679223055500936e-05 relative error = 0.0057896460576132413397564979536982 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002657462600367962624775080727 x1[1] (numeric) = 2.0001962605927172146419921824335 absolute error = 6.9485667319581620485325639238734e-05 relative error = 0.0034738217884049295517401496341596 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.854e+04 Order of pole = 1.803e+08 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.9MB, time=87.18 t[1] = 1.914 x2[1] (analytic) = 1.0092383478187215666572828111661 x2[1] (numeric) = 1.0092971358094846949190635897069 absolute error = 5.8787990763128261780778540843747e-05 relative error = 0.0058249858311653953163054425278284 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002654806466056095118203474985 x1[1] (numeric) = 2.0001956532811282123063222194993 absolute error = 6.9827365477397205498127999225614e-05 relative error = 0.0034909048900261388631521322975273 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.857e+04 Order of pole = 1.805e+08 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.9MB, time=87.35 t[1] = 1.915 x2[1] (analytic) = 1.0092567101966187434040706531373 x2[1] (numeric) = 1.0093158574065381943070404211798 absolute error = 5.9147209919450902969768042438117e-05 relative error = 0.0058604722982647413837234977040389 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000265215298655091490160653325 x1[1] (numeric) = 2.0001950453619238639299075403959 absolute error = 7.0169936731227560253112929081556e-05 relative error = 0.0035080316447312035636752882064394 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.859e+04 Order of pole = 1.807e+08 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.9MB, time=87.53 t[1] = 1.916 x2[1] (analytic) = 1.0092751094687613443269992068637 x2[1] (numeric) = 1.0093346173975016585773714221423 absolute error = 5.9507928740314250372215278598581e-05 relative error = 0.0058961058468623727191829932521166 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002649502159198942248680739456 x1[1] (numeric) = 2.0001944368344962502577398333244 absolute error = 7.0513381423643967128240621241219e-05 relative error = 0.003525202069657439858065973557145 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.862e+04 Order of pole = 1.809e+08 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.9MB, time=87.71 t[1] = 1.917 x2[1] (analytic) = 1.0092935457088790239516625020533 x2[1] (numeric) = 1.0093534158601534511624889049162 absolute error = 5.9870151274427210826402862850379e-05 relative error = 0.0059318868657162876347134844846653 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002646853981349349586551153984 x1[1] (numeric) = 2.0001938276982368438114948054588 absolute error = 7.0857699898091147160309939545921e-05 relative error = 0.003542416181985813082441929369136 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.865e+04 Order of pole = 1.811e+08 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.9MB, time=87.88 t[1] = 1.918 memory used=1918.8MB, alloc=4.9MB, time=88.06 x2[1] (analytic) = 1.0093120189908491762780858178497 x2[1] (numeric) = 1.0093722528724285620436430753652 absolute error = 6.0233881579385765557257515492299e-05 relative error = 0.0059678157443929011466646916570769 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000264420845035395884494361988 x1[1] (numeric) = 2.0001932179525365082810046539116 absolute error = 7.1202892498887603489708076436871e-05 relative error = 0.003559673998940954927377049796434 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.868e+04 Order of pole = 1.812e+08 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.9MB, time=88.23 t[1] = 1.919 x2[1] (analytic) = 1.0093305293886972304228091448222 x2[1] (numeric) = 1.009391128512418922232080409116 absolute error = 6.0599123721691809271264293762293e-05 relative error = 0.006003892873268558783018539529212 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002641565563567238808006471907 x1[1] (numeric) = 2.0001926075967854979151217048042 absolute error = 7.1548959571225965678942386551921e-05 relative error = 0.0035769755377911807045783868615302 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.871e+04 Order of pole = 1.814e+08 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.9MB, time=88.40 t[1] = 1.92 x2[1] (analytic) = 1.0093490769765969468529789676193 x2[1] (numeric) = 1.0094100428583737188807288425705 absolute error = 6.0965881776772027749874951178187e-05 relative error = 0.0060401186435310526296903374771014 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002638925318346302468779100226 x1[1] (numeric) = 2.0001919966303734569119726113073 absolute error = 7.1895901461173334905298715286337e-05 relative error = 0.003594320815848506657162826215533 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.874e+04 Order of pole = 1.816e+08 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.9MB, time=88.58 t[1] = 1.921 x2[1] (analytic) = 1.009367661828870714213633437323 x2[1] (numeric) = 1.0094289959886997110276529697285 absolute error = 6.1334159828996814019532405482212e-05 relative error = 0.0060764934471811396169485024591008 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002636287712050904386304723197 x1[1] (numeric) = 2.0001913850526894188086025009047 absolute error = 7.2243718515671630027971415004706e-05 relative error = 0.0036117098504686673135509117926883 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.877e+04 Order of pole = 1.818e+08 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.9MB, time=88.75 t[1] = 1.922 x2[1] (analytic) = 1.0093862840199898467493683751858 x2[1] (numeric) = 1.0094479879819615459725449656644 absolute error = 6.1703961971699223176590478574091e-05 relative error = 0.0061130176770340620470715224184803 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002633652742043438045384726404 x1[1] (numeric) = 2.0001907728631218058700084615243 absolute error = 7.2592411082537934530011116062824e-05 relative error = 0.003629142659051132884995340510193 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.880e+04 Order of pole = 1.820e+08 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.9MB, time=88.92 memory used=1941.7MB, alloc=4.9MB, time=89.10 t[1] = 1.923 x2[1] (analytic) = 1.009404943624574882321573926823 x2[1] (numeric) = 1.0094670189168820762875194923945 absolute error = 6.2075292307193965945565571504671e-05 relative error = 0.0061496917267210703643500860718755 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000263102040568893321897192765 x1[1] (numeric) = 2.0001901600610584284775617555704 absolute error = 7.2941979510464844335437194616246e-05 relative error = 0.0036466192590391267067616914651645 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.883e+04 Order of pole = 1.822e+08 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.9MB, time=89.28 t[1] = 1.924 x2[1] (analytic) = 1.0094236407173958810224340680848 x2[1] (numeric) = 1.0094860888723426774634833828384 absolute error = 6.2448154946796441049314753653413e-05 relative error = 0.0061865159906909481685314662179991 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002628390700355053333200130337 x1[1] (numeric) = 2.0001895466458864845168181502793 absolute error = 7.3292424149020816501862754356964e-05 relative error = 0.0036641396679196427229789973998036 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.886e+04 Order of pole = 1.823e+08 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.9MB, time=89.45 t[1] = 1.925 x2[1] (analytic) = 1.0094423753733727243868835507521 x2[1] (numeric) = 1.0095051979273835661933534436303 absolute error = 6.2822554010841806469892878262620e-05 relative error = 0.0062234908642115394727923374303093 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000262576362341209283504733023 x1[1] (numeric) = 2.0001889326169925587647157522081 absolute error = 7.3643745348650518788980814832231e-05 relative error = 0.0036817039032234630151778095432326 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.889e+04 Order of pole = 1.825e+08 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.9MB, time=89.63 t[1] = 1.926 x2[1] (analytic) = 1.0094611476675754152037192679014 x2[1] (numeric) = 1.0095243461612041192933982676886 absolute error = 6.3198493628704089678999787184507e-05 relative error = 0.0062606167433712782073152349969059 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002623139172232974562629943299 x1[1] (numeric) = 2.000188317973762622276159733055 absolute error = 7.3995943460675180103261274860871e-05 relative error = 0.0036993119825251753745334502942499 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.892e+04 Order of pole = 1.827e+08 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.9MB, time=89.80 t[1] = 1.927 x2[1] (analytic) = 1.0094799576752243779270654152675 x2[1] (numeric) = 1.0095435336531631932639825027041 absolute error = 6.3575977938815336917087436650844e-05 relative error = 0.0062978940250807199695328199659077 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002620517344193247118125424911 x1[1] (numeric) = 2.0001877027155820317699933333953 absolute error = 7.4349018837292941819209095773226e-05 relative error = 0.0037169639234431909178321915833575 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.895e+04 Order of pole = 1.829e+08 TOP MAIN SOLVE Loop memory used=1960.8MB, alloc=4.9MB, time=89.97 memory used=1964.6MB, alloc=4.9MB, time=90.15 t[1] = 1.928 x2[1] (analytic) = 1.00949880547169075968939422622 x2[1] (numeric) = 1.0095627604827794444909945820838 absolute error = 6.3955011088684801600355863736732e-05 relative error = 0.0063353231070740760220930048692164 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.00026178981366710822433206533 x1[1] (numeric) = 2.0001870868418355290143545303042 absolute error = 7.4702971831579209977535025762212e-05 relative error = 0.0037346597436397617471781401449299 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.898e+04 Order of pole = 1.831e+08 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.9MB, time=90.32 t[1] = 1.929 x2[1] (analytic) = 1.009517691132496731917306464061 x2[1] (numeric) = 1.0095820267297316500892414903816 absolute error = 6.4335597234918171935026320599599e-05 relative error = 0.0063729043879107495395868158553466 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002615281547047272197783452873 x1[1] (numeric) = 2.0001864703519072402114177542237 absolute error = 7.5057802797487008360591063545552e-05 relative error = 0.0037523994608209986534586543413479 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.901e+04 Order of pole = 1.833e+08 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.9MB, time=90.49 t[1] = 1.93 x2[1] (analytic) = 1.0095366147333157925512782662579 x2[1] (numeric) = 1.0096013324738590293890967058891 absolute error = 6.4717740543236837818439631172035e-05 relative error = 0.0064106382669768741050696192854817 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002612667572705227139654635506 x1[1] (numeric) = 2.0001858532451806753815200398138 absolute error = 7.5413512089847332445423736804073e-05 relative error = 0.0037701830927368888635861606103544 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.904e+04 Order of pole = 1.834e+08 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.9MB, time=90.67 t[1] = 1.931 x2[1] (analytic) = 1.0095555763499730688705833509646 x2[1] (numeric) = 1.0096206777951615660676900388381 absolute error = 6.5101445188497197106687873414497e-05 relative error = 0.0064485251444868544573950240578519 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000261005621103097250905794064 x1[1] (numeric) = 2.0001852355210387277466709949155 absolute error = 7.5770100064369504234799148478839e-05 relative error = 0.0037880106571813138315342810548497 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.907e+04 Order of pole = 1.836e+08 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.9MB, time=90.84 t[1] = 1.932 x2[1] (analytic) = 1.0095745760584456209246020167508 x2[1] (numeric) = 1.009640062773800330925930664611 absolute error = 6.5486715354710001328647860134419e-05 relative error = 0.0064865654214849094903693847448297 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002607447459413146414125257569 x1[1] (numeric) = 2.0001846171788636731134459711349 absolute error = 7.6127567077641527966554621981748e-05 relative error = 0.0038058821719920670731862271608703 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.910e+04 Order of pole = 1.838e+08 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.9MB, time=91.02 memory used=1987.5MB, alloc=4.9MB, time=91.19 t[1] = 1.933 x2[1] (analytic) = 1.0095936139348627455717307918803 x2[1] (numeric) = 1.0096594874900978053126572374637 absolute error = 6.5873555235059740926445583396024e-05 relative error = 0.0065247594998466175047233747748522 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002604841315242997019634515962 x1[1] (numeric) = 2.0001839982180371692552618189415 absolute error = 7.6485913487130446701632654700860e-05 relative error = 0.0038237976550508720450134581146292 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.912e+04 Order of pole = 1.840e+08 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.9MB, time=91.37 t[1] = 1.934 x2[1] (analytic) = 1.0096126900555062811271090197498 x2[1] (numeric) = 1.0096789520245382051972115615521 absolute error = 6.6261969031924070102541802326020e-05 relative error = 0.006563107782280463713885573086617 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002602237775914379938257633243 x1[1] (numeric) = 2.0001833786379402552940346095564 absolute error = 7.6845139651182699791153767864147e-05 relative error = 0.0038417571242834000666026456932808 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.915e+04 Order of pole = 1.842e+08 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.9MB, time=91.54 t[1] = 1.935 x2[1] (analytic) = 1.0096318044968109126203811022389 x2[1] (numeric) = 1.0096984564577678058917348925312 absolute error = 6.6651960956893271353790292311255e-05 relative error = 0.0066016106723293900045314116443172 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002599636838823755624415910085 x1[1] (numeric) = 2.0001827584379533510812187052886 absolute error = 7.7205245929024481222885719864287e-05 relative error = 0.0038597605976592882870490312265539 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.918e+04 Order of pole = 1.844e+08 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.9MB, time=91.72 t[1] = 1.936 x2[1] (analytic) = 1.009650957335364477664715562734 x2[1] (numeric) = 1.0097180008705952674244885446699 absolute error = 6.7043535230789759772981935833555e-05 relative error = 0.0066402685743723469528691646474861 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002597038501370186770740267869 x1[1] (numeric) = 2.0001821376174562565782265593574 absolute error = 7.7566232680762098847467429543585e-05 relative error = 0.0038778080931921576952343036676081 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.921e+04 Order of pole = 1.845e+08 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.9MB, time=91.90 t[1] = 1.937 x2[1] (analytic) = 1.0096701486479082729383045354873 x2[1] (numeric) = 1.0097375853439919605655030853094 absolute error = 6.7436696083687627198549822143990e-05 relative error = 0.0066790818936258480976129229139694 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002594442760955335707133724572 x1[1] (numeric) = 2.0001815161758281512362286256215 absolute error = 7.7928100267382334484746835692881e-05 relative error = 0.0038958996289396311740071713714604 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.924e+04 Order of pole = 1.847e+08 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.9MB, time=92.07 memory used=2010.3MB, alloc=4.9MB, time=92.25 t[1] = 1.938 x2[1] (analytic) = 1.0096893785113373612795697377646 x2[1] (numeric) = 1.0097572099590922935058630105999 absolute error = 6.7831447754932226293272835294549e-05 relative error = 0.0067180510361455264705806884754292 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002591849614983461802433508139 x1[1] (numeric) = 2.0001808941124475933753327580148 absolute error = 7.8290849050752804910592799132309e-05 relative error = 0.0039140352230033515982848437581406 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.927e+04 Order of pole = 1.849e+08 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.9MB, time=92.42 t[1] = 1.939 x2[1] (analytic) = 1.0097086470027008793973034359331 x2[1] (numeric) = 1.0097768747971940391919364137815 absolute error = 6.8227794493159794632977848371786e-05 relative error = 0.0067571764088276933858438446165558 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000258925906086141886867020901 x1[1] (numeric) = 2.0001802714266925195631424788668 absolute error = 7.8654479393622323724542034215896e-05 relative error = 0.0039322148935289999770936826354063 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.930e+04 Order of pole = 1.851e+08 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.9MB, time=92.60 t[1] = 1.94 x2[1] (analytic) = 1.009727954199202346196975376248 x2[1] (numeric) = 1.0097965799397586633158617798548 absolute error = 6.8625740556317118886403606767989e-05 relative error = 0.0067964584194108994883423051259148 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002586671095998652567921376056 x1[1] (numeric) = 2.0001796481179402439926934946682 absolute error = 7.9018991659621264098642937437081e-05 relative error = 0.0039504386587063136395673265724262 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.933e+04 Order of pole = 1.853e+08 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.9MB, time=92.77 t[1] = 1.941 x2[1] (analytic) = 1.0097473001781999717244391156368 x2[1] (numeric) = 1.0098163254684116529636066683124 absolute error = 6.9025290211681239167552675635509e-05 relative error = 0.0068358974764774980628676231213021 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002584085717807197821756962776 x1[1] (numeric) = 2.0001790241855674578597678372156 absolute error = 7.9384386213261922407859062009224e-05 relative error = 0.0039687065367691044649206353513627 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.936e+04 Order of pole = 1.855e+08 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.9MB, time=92.94 t[1] = 1.942 x2[1] (analytic) = 1.0097666850172069667282736572447 x2[1] (numeric) = 1.0098361114649428459219156786917 absolute error = 6.9426447735879193642021446955233e-05 relative error = 0.0068754939894552106043042441780177 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002581502923701676223274033201 x1[1] (numeric) = 2.0001783996289502287395850074513 absolute error = 7.9750663419938882742395868854863e-05 relative error = 0.003987018545995277156417845178301 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.939e+04 Order of pole = 1.856e+08 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.9MB, time=93.12 memory used=2033.2MB, alloc=4.9MB, time=93.29 t[1] = 1.943 x2[1] (analytic) = 1.0097861087938918528419987699196 x2[1] (numeric) = 1.0098559380113067606454677320702 absolute error = 6.9829217414907803468962150568186e-05 relative error = 0.0069152483686186946500069203360805 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002578922711099293451718139549 x1[1] (numeric) = 2.0001777744474639999628694986885 absolute error = 8.0117823645929382302315266360870e-05 relative error = 0.0040053747047068475593533690085119 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.942e+04 Order of pole = 1.858e+08 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.9MB, time=93.47 t[1] = 1.944 x2[1] (analytic) = 1.0098055715860787733874048501791 x2[1] (numeric) = 1.0098758051896229268855653452708 absolute error = 7.0233603544153498160495091728606e-05 relative error = 0.0069551610250911138751800606027704 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000257634507741983668968878623 x1[1] (numeric) = 2.0001771486404835899912940752894 absolute error = 8.0485867258393677674803333544474e-05 relative error = 0.0040237750312699610230637200336586 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.945e+04 Order of pole = 1.860e+08 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.9MB, time=93.64 t[1] = 1.945 x2[1] (analytic) = 1.0098250734717478048002406695353 x2[1] (numeric) = 1.0098957130821762169816812234812 absolute error = 7.0639610428412181440553945897652e-05 relative error = 0.006995232370845710452112479509766 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002573770020085672042926397434 x1[1] (numeric) = 2.0001765222073831917922981822394 absolute error = 8.0854794625375411994457503928409e-05 relative error = 0.0040422195440949108069890800902871 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.948e+04 Order of pole = 1.862e+08 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.9MB, time=93.82 t[1] = 1.946 x2[1] (analytic) = 1.0098446145290352686795048393528 x2[1] (numeric) = 1.0099156617714171778171901512331 absolute error = 7.1047242381909137685311880270481e-05 relative error = 0.0070354628187073796741086178384863 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002571197536521741962678208065 x1[1] (numeric) = 2.000175895147536372213280860436 absolute error = 8.1224606115801982986960370442966e-05 relative error = 0.0040607082616361565308030784798374 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.951e+04 Order of pole = 1.864e+08 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.9MB, time=93.99 t[1] = 1.947 x2[1] (analytic) = 1.0098641948362340444615893197034 x2[1] (numeric) = 1.009935651339962363440616821245 absolute error = 7.1456503728318979027501541578562e-05 relative error = 0.0070758527823542468449448485010897 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002568627624155562670640500401 x1[1] (numeric) = 2.000175267460316071355167541885 absolute error = 8.1595302099484911896508155059418e-05 relative error = 0.0040792412023923426686293904405038 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.954e+04 Order of pole = 1.866e+08 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.9MB, time=94.17 memory used=2056.1MB, alloc=4.9MB, time=94.34 t[1] = 1.948 x2[1] (analytic) = 1.0098838144717938827205257979627 x2[1] (numeric) = 1.0099556818705946683537329055144 absolute error = 7.1867398800785633207107551697657e-05 relative error = 0.0071164026763192464346669454651349 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002566060280417221586474611418 x1[1] (numeric) = 2.0001746391450946019453500983712 absolute error = 8.1966882947120213297362770614045e-05 relative error = 0.0040978183849063170873638082806117 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.957e+04 Order of pole = 1.868e+08 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.9MB, time=94.52 t[1] = 1.949 x2[1] (analytic) = 1.0099034735143217190955882671749 x2[1] (numeric) = 1.0099757534462636614678393432621 absolute error = 7.2279931941942372251076087185442e-05 relative error = 0.0071571129159917035025321842434825 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002563495502739374757894138291 x1[1] (numeric) = 2.0001740102012436487099995165427 absolute error = 8.2339349030288765789897286405618e-05 relative error = 0.0041164398277651496291204819718017 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.960e+04 Order of pole = 1.870e+08 TOP MAIN SOLVE Loop memory used=2063.8MB, alloc=4.9MB, time=94.70 t[1] = 1.95 x2[1] (analytic) = 1.0099231720425819888475076435109 x2[1] (numeric) = 1.0099958661500859207295724958976 absolute error = 7.2694107503931882064852386737752e-05 relative error = 0.007197983917618917387886858543078 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000256093328855724429332077216 x1[1] (numeric) = 2.0001733806281342677457505717223 absolute error = 8.2712700721456683581505493642720e-05 relative error = 0.0041351055496001507378210698082646 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.963e+04 Order of pole = 1.871e+08 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.9MB, time=94.87 t[1] = 1.951 x2[1] (analytic) = 1.0099429101354969420445567764649 x2[1] (numeric) = 1.0100160200653453684175755000973 absolute error = 7.3109929848426373018723632357075e-05 relative error = 0.0072390160983077476697572388813834 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002558373635308615797106192823 x1[1] (numeric) = 2.0001727504251368858907578721306 absolute error = 8.3086938393975688952747151681425e-05 relative error = 0.0041538155690868901299455835655942 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.966e+04 Order of pole = 1.873e+08 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.9MB, time=95.04 t[1] = 1.952 x2[1] (analytic) = 1.0099626878721469593797667247885 x2[1] (numeric) = 1.0100362152754936071113788363749 absolute error = 7.3527403346647731612111586440525e-05 relative error = 0.0072802098760262023959191650411357 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002555816540433835807317459571 x1[1] (numeric) = 2.0001721195916213000951226445759 absolute error = 8.3462062422083485609101381229614e-05 relative error = 0.0041725699049452155094637564395631 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.969e+04 Order of pole = 1.875e+08 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.9MB, time=95.22 memory used=2079.0MB, alloc=4.9MB, time=95.39 t[1] = 1.953 x2[1] (analytic) = 1.009982505331770868620537695559 x2[1] (numeric) = 1.0100564518641502563338368221977 absolute error = 7.3946532379387713299126638687721e-05 relative error = 0.0073215656696050285821985548456514 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002553262001375809236083335947 x1[1] (numeric) = 2.0001714881269566767906896320384 absolute error = 8.3838073180904132918701556302445e-05 relative error = 0.0041913685759392713269658059113189 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.972e+04 Order of pole = 1.877e+08 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.9MB, time=95.57 t[1] = 1.954 x2[1] (analytic) = 1.0100023625937662616919105732315 x2[1] (numeric) = 1.0100767299151032898684694357558 absolute error = 7.4367321337028176558862524373954e-05 relative error = 0.0073630838987393049827421266000226 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002550710015579996812498988784 x1[1] (numeric) = 2.0001708560305115512602134729457 absolute error = 8.4214971046448421036425932695052e-05 relative error = 0.004210211600877517583011507571193 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.975e+04 Order of pole = 1.879e+08 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.9MB, time=95.74 t[1] = 1.955 x2[1] (analytic) = 1.010022259737689812394767500037 x2[1] (numeric) = 1.0100970495123093737530615789568 absolute error = 7.4789774619561358294078919804034e-05 relative error = 0.0074047649839900371319845713593776 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002548160580494412528086504427 x1[1] (numeric) = 2.0001702233016538270058939313056 absolute error = 8.4592756395614246914719137094355e-05 relative error = 0.0042290989986127486757165398385468 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.978e+04 Order of pole = 1.881e+08 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.9MB, time=95.92 t[1] = 1.956 x2[1] (analytic) = 1.0100421968432575947602325086807 x2[1] (numeric) = 1.010117410739894204950874596083 absolute error = 7.5213896636610190642087402332043e-05 relative error = 0.0074466093467857546590252736541003 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000254561369356962108480866758 x1[1] (numeric) = 2.0001695899397507751172793462303 absolute error = 8.4971429606186991201520527682814e-05 relative error = 0.0042480307880421122925951034398987 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.981e+04 Order of pole = 1.883e+08 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.9MB, time=96.09 t[1] = 1.957 x2[1] (analytic) = 1.0100621739903454020415457529657 x2[1] (numeric) = 1.0101378136821528507008275778476 absolute error = 7.5639691807448659281824881878041e-05 relative error = 0.0074886174094241108751144651228807 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002543069352258735345633450827 x1[1] (numeric) = 2.0001689559441690336385376687585 absolute error = 8.5350991056839896025676324193893e-05 relative error = 0.0042670069881071283466778634520238 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.984e+04 Order of pole = 1.885e+08 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.9MB, time=96.27 memory used=2101.9MB, alloc=4.9MB, time=96.44 t[1] = 1.958 x2[1] (analytic) = 1.0100821912589890663446874317377 x2[1] (numeric) = 1.0101582584235500885480086993068 absolute error = 7.6067164561022203321267569071868e-05 relative error = 0.0075307895950734846349354043761539 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000254052755401741378764666535 x1[1] (numeric) = 2.0001683213142746069350944532421 absolute error = 8.5731441127134443670213292862837e-05 relative error = 0.0042860276177937079569243056808287 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.987e+04 Order of pole = 1.886e+08 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.9MB, time=96.61 t[1] = 1.959 x2[1] (analytic) = 1.0101022487293847788990300564154 x2[1] (numeric) = 1.0101787450487207470558795642581 absolute error = 7.6496319335968156849507842685580e-05 relative error = 0.0075731263277745844723558080324621 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002537988296303857957710225992 x1[1] (numeric) = 2.0001676860494328650596371699396 absolute error = 8.6112780197520736133852659578023e-05 relative error = 0.0043050926961321724729486431306344 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.990e+04 Order of pole = 1.888e+08 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.9MB, time=96.79 t[1] = 1.96 x2[1] (analytic) = 1.0101223464818894109693002723608 x2[1] (numeric) = 1.0101992736424700472015382583774 absolute error = 7.6927160580636232237986016559703e-05 relative error = 0.0076156280324420550113083119352538 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.00025354515765788099306634863 x1[1] (numeric) = 2.0001670501490085431174852048172 absolute error = 8.6495008649337875581143812778403e-05 relative error = 0.0043242022421972725440784523220842 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 5.993e+04 Order of pole = 1.890e+08 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.9MB, time=96.97 t[1] = 1.961 x2[1] (analytic) = 1.0101424845970208354101340094546 x2[1] (numeric) = 1.0102198442897739444554095484391 absolute error = 7.7359692753109045275538984466059e-05 relative error = 0.0076582951348660856524462177634253 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000253291739230554977006510176 x1[1] (numeric) = 2.0001664136123657406313249119297 absolute error = 8.6878126864814345681598246262471e-05 relative error = 0.0043433562751082072327652632402687 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.996e+04 Order of pole = 1.892e+08 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.9MB, time=97.14 t[1] = 1.962 x2[1] (analytic) = 1.0101626631554582488645113074881 x2[1] (numeric) = 1.0102404570757794715467334055291 absolute error = 7.7793920321222682222098040964289e-05 relative error = 0.0077011280617140215362071782904629 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002530385740949892991472881963 x1[1] (numeric) = 2.0001657764388679209053090831152 absolute error = 8.7262135227068393838205081074451e-05 relative error = 0.0043625548140286431723663707378887 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 5.999e+04 Order of pole = 1.894e+08 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.9MB, time=97.32 memory used=2124.8MB, alloc=4.9MB, time=97.49 t[1] = 1.963 x2[1] (analytic) = 1.0101828822380424946073597373778 x2[1] (numeric) = 1.0102611120858050819162257762158 absolute error = 7.8229847762587308866038837984517e-05 relative error = 0.0077441272405319767829037941184093 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002527856619980188028259094979 x1[1] (numeric) = 2.0001651386278779103885201991029 absolute error = 8.7647034120108414305710395015106e-05 relative error = 0.0043817978781667337693171792813746 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.002e+04 Order of pole = 1.896e+08 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.9MB, time=97.67 t[1] = 1.964 x2[1] (analytic) = 1.010203141925776386035617919755 x2[1] (numeric) = 1.0102818094053409938572882771963 absolute error = 7.8667479564607821670357441290695e-05 relative error = 0.0077872930997464500104463355072201 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000252533002686731369995868976 x1[1] (numeric) = 2.000164500178757898037796825498 absolute error = 8.8032823928833332199043478088400e-05 relative error = 0.004401085486775138449713437010916 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.005e+04 Order of pole = 1.898e+08 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.9MB, time=97.85 t[1] = 1.965 x2[1] (analytic) = 1.0102234422998250308060532281993 x2[1] (numeric) = 1.0103025491200495353471462459981 absolute error = 7.9106820224504541093017798834844e-05 relative error = 0.0078306260686659421302889646296911 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002522805959084676683147904916 x1[1] (numeric) = 2.0001638610908694346799225164693 absolute error = 8.8419505039032988392274022342283e-05 relative error = 0.0044204176591510419503227591883549 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.008e+04 Order of pole = 1.900e+08 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.9MB, time=98.02 t[1] = 1.966 x2[1] (analytic) = 1.0102437834415161556221303552746 x2[1] (numeric) = 1.0103233313157654895692973428996 absolute error = 7.9547874249333947166987624990243e-05 relative error = 0.0078741265774825764221769158984121 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002520284414108208984850734737 x1[1] (numeric) = 2.0001632213635734323731765883286 absolute error = 8.8807077837388525308485145092864e-05 relative error = 0.0044397944146361736540448852299074 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.011e+04 Order of pole = 1.902e+08 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.9MB, time=98.19 t[1] = 1.967 x2[1] (analytic) = 1.0102641654323404316712300156049 x2[1] (numeric) = 1.0103441560784964411286556673463 absolute error = 7.9990646156009457425651741441158e-05 relative error = 0.0079177950572737208882580946246494 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002517765389416365418470725883 x1[1] (numeric) = 2.0001625809962301637682461245529 absolute error = 8.9195542711472773600948035437134e-05 relative error = 0.0044592157726168269698401576637454 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.014e+04 Order of pole = 1.903e+08 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.9MB, time=98.37 memory used=2147.7MB, alloc=4.9MB, time=98.55 t[1] = 1.968 x2[1] (analytic) = 1.0102845883539518007135196615017 x2[1] (numeric) = 1.0103650234944231229607791257995 absolute error = 8.0435140471322247259464297799357e-05 relative error = 0.0079616319400036128871084768692994 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002515248882490121082245580656 x1[1] (numeric) = 2.0001619399881992614684985731604 absolute error = 8.9584900049750639725984905261122e-05 relative error = 0.0044786817525238787571457555156379 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.017e+04 Order of pole = 1.905e+08 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.9MB, time=98.72 t[1] = 1.969 x2[1] (analytic) = 1.0103050522881678018237806931388 x2[1] (numeric) = 1.0103859336498997639365705671623 absolute error = 8.0881361731962112789874023505668e-05 relative error = 0.008005637658524986048206535621819 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002512734890812968840222045321 x1[1] (numeric) = 2.0001612983388397173896142967145 absolute error = 8.9975150241579494407907817638722e-05 relative error = 0.0044981923738328087947992588091538 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.020e+04 Order of pole = 1.907e+08 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.9MB, time=98.90 t[1] = 1.97 x2[1] (analytic) = 1.010325557316969898787499256969 x2[1] (numeric) = 1.0104068866314544371638459867069 absolute error = 8.1329314484538376346729737952385e-05 relative error = 0.0080498126465806994673776800821571 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002510223411870916805748564442 x1[1] (numeric) = 2.0001606560475098821185784345866 absolute error = 9.0366293677209561996421857592401e-05 relative error = 0.0045177476560637192944891650704209 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.023e+04 Order of pole = 1.909e+08 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.9MB, time=99.07 t[1] = 1.971 x2[1] (analytic) = 1.0103461035225038081525303430095 x2[1] (numeric) = 1.0104278825257894089871658897782 absolute error = 8.1779003285600834635546768724529e-05 relative error = 0.0080941573388053691837153755101432 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000250771444315248582748318473 x1[1] (numeric) = 2.0001600131135674642720314364703 absolute error = 9.0758330747784310716882002651393e-05 relative error = 0.0045373476187813544587520229511516 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.026e+04 Order of pole = 1.911e+08 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.9MB, time=99.25 t[1] = 1.972 x2[1] (analytic) = 1.0103666909870798279376475137879 x2[1] (numeric) = 1.010448921419781488687328702487 absolute error = 8.2230432701660749681188699101622e-05 relative error = 0.0081386721707270019384712105325742 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002505207982148706977914194415 x1[1] (numeric) = 2.000159369536369529853977625498 absolute error = 9.1151261845340843813793943496785e-05 relative error = 0.0045569922815951200835358923276301 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.029e+04 Order of pole = 1.913e+08 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.9MB, time=99.42 memory used=2170.6MB, alloc=4.9MB, time=99.60 t[1] = 1.973 x2[1] (analytic) = 1.010387319793173166999293225161 x2[1] (numeric) = 1.0104700034004823788819279181472 absolute error = 8.2683607309211882634692986184813e-05 relative error = 0.0081833575787686312163916966455476 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002502704026353119044390986652 x1[1] (numeric) = 2.000158725315272501612851148667 absolute error = 9.1545087362810291587949998226902e-05 relative error = 0.0045766816641591032053498844976601 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.032e+04 Order of pole = 1.915e+08 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.9MB, time=99.77 t[1] = 1.974 x2[1] (analytic) = 1.0104079900234242750578473318946 x2[1] (numeric) = 1.0104911285551190266283774753555 absolute error = 8.3138531694751570530143460916395e-05 relative error = 0.0082282140002499555699650206026761 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002500202573261766022662637995 x1[1] (numeric) = 2.0001580804496321583979386716421 absolute error = 9.1939807694018204327592157411567e-05 relative error = 0.004596415786172091793019580382122 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.035e+04 Order of pole = 1.917e+08 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.9MB, time=99.95 t[1] = 1.975 x2[1] (analytic) = 1.0104287017606391733847340088427 x2[1] (numeric) = 1.0105122969710939752308126763842 absolute error = 8.3595210454801846078667541540858e-05 relative error = 0.0082732418733889792270263241220543 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002497703620373194612921695488 x1[1] (numeric) = 2.0001574349388036345151581743577 absolute error = 9.2335423233684946133995191131055e-05 relative error = 0.0046161946673775944840681689428465 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.038e+04 Order of pole = 1.919e+08 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.9MB, time=100.12 t[1] = 1.976 x2[1] (analytic) = 1.0104494550877897861516899617908 x2[1] (numeric) = 1.0105335087359857167522767729542 absolute error = 8.4053648195930600586811163420957e-05 relative error = 0.0083184416373036549821553565587039 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002495207165188451718350668402 x1[1] (numeric) = 2.0001567887821414190821932031966 absolute error = 9.2731934377426089641863643615621e-05 relative error = 0.0046360183275638603657431923540064 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.041e+04 Order of pole = 1.921e+08 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.9MB, time=100.30 t[1] = 1.977 x2[1] (analytic) = 1.0104702500880142724435194505524 x2[1] (numeric) = 1.0105547639375490452336061705037 absolute error = 8.4513849534772790086719951272530e-05 relative error = 0.0083638137320135293722855345562676 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002492713205211081946168723169 x1[1] (numeric) = 2.000156141978999355382981934881 absolute error = 9.3129341521752811634937435915543e-05 relative error = 0.0046558867865638988007088288102111 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.044e+04 Order of pole = 1.923e+08 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.9MB, time=100.47 memory used=2193.5MB, alloc=4.9MB, time=100.64 t[1] = 1.978 x2[1] (analytic) = 1.0104910868446173589356643007281 x2[1] (numeric) = 1.0105760626637154106204300317636 absolute error = 8.4975819098051684765731035523120e-05 relative error = 0.0084093585984413901369285478926327 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002490221737947125111176082565 x1[1] (numeric) = 2.0001554945287306402215604065642 absolute error = 9.3527645064072289557201692240197e-05 relative error = 0.004675800064255499297423688220996 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.047e+04 Order of pole = 1.925e+08 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.9MB, time=100.82 t[1] = 1.979 x2[1] (analytic) = 1.0105119654410706732379197396741 x2[1] (numeric) = 1.0105974050025932733997028958174 absolute error = 8.5439561522600161783156143338303e-05 relative error = 0.0084550766784149159634036724487085 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002487732760905113741793632679 x1[1] (numeric) = 2.0001548464306878232752592659667 absolute error = 9.3926845402688098920097301209084e-05 relative error = 0.0046957581805612514252241404284847 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.050e+04 Order of pole = 1.926e+08 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.9MB, time=100.99 t[1] = 1.98 x2[1] (analytic) = 1.0105328859610130779056295566856 x2[1] (numeric) = 1.0106187910424684599471917698632 absolute error = 8.5905081455382041562213177604074e-05 relative error = 0.0085009684146683285174458891366363 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002485246271596070588595243716 x1[1] (numeric) = 2.0001541976842228064472533947524 absolute error = 9.4326942936800611606129619258441e-05 relative error = 0.0047157611554485647741332399926944 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.053e+04 Order of pole = 1.928e+08 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.9MB, time=101.16 t[1] = 1.981 x2[1] (analytic) = 1.0105538484882510051196967571961 x2[1] (numeric) = 1.0106402208718045185873419976306 absolute error = 8.6372383553513467645240434512884e-05 relative error = 0.0085470342508440467595517614012393 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000248276226753350613533031315 x1[1] (numeric) = 2.0001535482886868432184637576951 absolute error = 9.4727938066507395069273619845370e-05 relative error = 0.0047358090089296889594153560173118 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.056e+04 Order of pole = 1.930e+08 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.9MB, time=101.34 t[1] = 1.982 x2[1] (analytic) = 1.0105748531067587920367485559273 x2[1] (numeric) = 1.0106616945792430763669490608304 absolute error = 8.6841472484284330200504903085932e-05 relative error = 0.0085932746314943435474067932335982 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002480280746233416112434042267 x1[1] (numeric) = 2.0001528982434305379988108295379 absolute error = 9.5129831192803612432574688887872e-05 relative error = 0.0047559017610617336708966599378211 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.059e+04 Order of pole = 1.932e+08 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.9MB, time=101.51 memory used=2216.3MB, alloc=4.9MB, time=101.69 t[1] = 1.983 x2[1] (analytic) = 1.0105958999006790168107972344248 x2[1] (numeric) = 1.0106832122536041965440663281635 absolute error = 8.7312352925179733269093738687152e-05 relative error = 0.0086396900020830045247226741844198 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002477801705214279013022959606 x1[1] (numeric) = 2.0001522475478038454778189507965 absolute error = 9.5532622717582423483345164074946e-05 relative error = 0.0047760394319466887670716686636676 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.062e+04 Order of pole = 1.934e+08 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.9MB, time=101.86 t[1] = 1.984 x2[1] (analytic) = 1.0106169889543228352877410742687 x2[1] (numeric) = 1.0107047739838867367935816302767 absolute error = 8.7785029563901505840556008058687e-05 relative error = 0.008686280808986989296797417312618 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002475325141997053611373207274 x1[1] (numeric) = 2.0001515962011560699745709631141 absolute error = 9.5936313043635386566357613276688e-05 relative error = 0.0047962220417314444140160849567259 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.065e+04 Order of pole = 1.936e+08 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.9MB, time=102.04 t[1] = 1.985 x2[1] (analytic) = 1.0106381203521703183740522684889 x2[1] (numeric) = 1.0107263798592687081308984086552 absolute error = 8.8259507098389756846140166348654e-05 relative error = 0.0087330474994980948930959100255997 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002472851054105176483879108639 x1[1] (numeric) = 2.0001509442028358647870124741186 absolute error = 9.6340902574652861375436745281174e-05 relative error = 0.0048164496106078112691262214397642 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.068e+04 Order of pole = 1.938e+08 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.9MB, time=102.22 t[1] = 1.986 x2[1] (analytic) = 1.0106592941788707900810014103391 x2[1] (numeric) = 1.0107480299691076345551600617869 absolute error = 8.8735790236844474158651447726022e-05 relative error = 0.0087799905218246215171328260355854 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002470379439064559532489538345 x1[1] (numeric) = 2.0001502915521912315406051010901 absolute error = 9.6746391715224412643852744483599e-05 relative error = 0.004836722158812540709705339160886 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.071e+04 Order of pole = 1.940e+08 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.9MB, time=102.39 t[1] = 1.987 x2[1] (analytic) = 1.0106805105192431662457708606056 x2[1] (numeric) = 1.0107697244029409134134589930368 absolute error = 8.9213883697747167688132431202512e-05 relative error = 0.0088271103250930405839241888434448 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002467910294403587510619618087 x1[1] (numeric) = 2.0001496382485695195363280420887 absolute error = 9.7152780870839214733919719954645e-05 relative error = 0.0048570397066273451064172761931454 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.074e+04 Order of pole = 1.942e+08 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.9MB, time=102.56 memory used=2239.2MB, alloc=4.9MB, time=102.74 t[1] = 1.988 x2[1] (analytic) = 1.0107017694582762939308120020605 x2[1] (numeric) = 1.0107914632504861764874747515435 absolute error = 8.9693792209882556662749482926920e-05 relative error = 0.0088744073593496650452581329396115 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002465443617653115551535264053 x1[1] (numeric) = 2.0001489842913174250980273225468 absolute error = 9.7560070447886457126203858520247e-05 relative error = 0.0048774022743789181416277863227027 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.077e+04 Order of pole = 1.944e+08 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.9MB, time=102.91 t[1] = 1.989 x2[1] (analytic) = 1.0107230710811292915028041025228 x2[1] (numeric) = 1.010813246601641651803988550099 absolute error = 9.0175520512360301184447576203949e-05 relative error = 0.0089218820755623220030195779513963 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002462979406346466699208114436 x1[1] (numeric) = 2.0001483296797809909191120646725 absolute error = 9.7968260853655750808746771094699e-05 relative error = 0.0048978098824389551726540524740643 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.080e+04 Order of pole = 1.946e+08 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.9MB, time=103.09 t[1] = 1.99 x2[1] (analytic) = 1.0107444154731318893925752262717 x2[1] (numeric) = 1.0108350745464865261707243424233 absolute error = 9.0659073354636778149116151539790e-05 relative error = 0.0089695349256220276107876129372414 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002460517658019429441638367841 x1[1] (numeric) = 2.0001476744133056054085971263626 absolute error = 9.8377352496337535566710421524314e-05 relative error = 0.0049182625512241736399428841371788 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.083e+04 Order of pole = 1.948e+08 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.9MB, time=103.27 t[1] = 1.991 x2[1] (analytic) = 1.0107658027197847715373483572865 x2[1] (numeric) = 1.0108569471752813084389695464884 absolute error = 9.1144455496536901621189201854072e-05 relative error = 0.0090173663623446642639083826000686 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002458058370210255246643065943 x1[1] (numeric) = 2.0001470184912360020364914556666 absolute error = 9.8787345785023488172850927620498e-05 relative error = 0.0049387603011963335201981526984726 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.086e+04 Order of pole = 1.950e+08 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.9MB, time=103.44 t[1] = 1.992 x2[1] (analytic) = 1.0107872329067599175066786269605 x2[1] (numeric) = 1.0108788645784681934944314106138 absolute error = 9.1631671708275987752783653347444e-05 relative error = 0.0090653768394726600782301740318538 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002455601540459656100107356148 x1[1] (numeric) = 2.0001463619129162586785315061899 absolute error = 9.9198241129706931479229424890076e-05 relative error = 0.0049593031528622578244780632363671 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.089e+04 Order of pole = 1.952e+08 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.9MB, time=103.62 memory used=2262.1MB, alloc=4.9MB, time=103.79 t[1] = 1.993 x2[1] (analytic) = 1.0108087061199009453134502735839 x2[1] (numeric) = 1.010900826846671426977787934945 absolute error = 9.2120726770481664337661361102703e-05 relative error = 0.0091135668116766706576712213769917 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002453147166310802046696272548 x1[1] (numeric) = 2.0001457046776897969602590581701 absolute error = 9.9610038941283244410569084707797e-05 relative error = 0.0049798911267738531412829060214433 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.093e+04 Order of pole = 1.954e+08 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.9MB, time=103.97 t[1] = 1.994 x2[1] (analytic) = 1.0108302224452234549113047010045 x2[1] (numeric) = 1.0109228340706976707363951826555 absolute error = 9.2611625474215825090481651053029e-05 relative error = 0.0091619367345572631507744761790677 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002450695245309318733024575842 x1[1] (numeric) = 2.0001450467848993816004427893039 absolute error = 0.00010002273963155027285966828032223 relative error = 0.0050005242435281302246539756622759 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.096e+04 Order of pole = 1.956e+08 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.9MB, time=104.14 t[1] = 1.995 x2[1] (analytic) = 1.0108517819689153723798737494767 x2[1] (numeric) = 1.0109448863415363690086157427939 absolute error = 9.3104372620996628741993317203029e-05 relative error = 0.0092104870646466025963872328195801 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002448245775003284953282195424 x1[1] (numeric) = 2.0001443882338871197538429387463 absolute error = 0.00010043634361320874148528079614243 relative error = 0.0050212025237672246273043905600757 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.099e+04 Order of pole = 1.958e+08 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.9MB, time=104.31 t[1] = 1.996 x2[1] (analytic) = 1.0108733847773372947991950428117 x2[1] (numeric) = 1.0109669837503601153422360401374 absolute error = 9.3598973022820543040997325668010e-05 relative error = 0.0092592182594101405585870510322954 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002445798752943230197312819245 x1[1] (numeric) = 2.0001437290239944603533184070463 absolute error = 0.00010085085129986266641287487821995 relative error = 0.005041925988178417378802590078705 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.102e+04 Order of pole = 1.959e+08 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.9MB, time=104.49 t[1] = 1.997 x2[1] (analytic) = 1.0108950309570228358146890325442 x2[1] (numeric) = 1.0109891263885250202484431267301 absolute error = 9.4095431502184433754094185936557e-05 relative error = 0.0093081307772483060509588806466962 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002443354176682132201143179534 x1[1] (numeric) = 2.0001430691545621934512756341267 absolute error = 0.00010126626310601976883868382671952 relative error = 0.0050626946574941557088293316014122 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.105e+04 Order of pole = 1.961e+08 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.9MB, time=104.66 memory used=2285.0MB, alloc=4.9MB, time=104.83 t[1] = 1.998 x2[1] (analytic) = 1.0109167205946789718940801219594 x2[1] (numeric) = 1.0110113143475710795928345349849 absolute error = 9.4593752892107698754413025495029e-05 relative error = 0.009357225077498198750311667140912 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002440912043775414499960584905 x1[1] (numeric) = 2.000142408624930449560458596756 absolute error = 0.00010168257944709188953746173446368 relative error = 0.0050835085524920738155290544318053 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.108e+04 Order of pole = 1.963e+08 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.9MB, time=105.01 t[1] = 1.999 x2[1] (analytic) = 1.0109384537771863892776470204778 x2[1] (numeric) = 1.0110335477192225437249377233252 absolute error = 9.5093942036154447290702847315416e-05 relative error = 0.0094065016204352844999059999301838 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002438472351780943983536251833 x1[1] (numeric) = 2.0001417474344386989940792663039 absolute error = 0.00010209980073939540427435887934136 relative error = 0.0051043676939950136789765223042026 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.111e+04 Order of pole = 1.965e+08 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.9MB, time=105.18 t[1] = 2 x2[1] (analytic) = 1.0109602305915998316231902520891 x2[1] (numeric) = 1.0110558265953882873477186023505 absolute error = 9.5596003788455724528350261436949e-05 relative error = 0.0094559608672750931022475582420038 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.000243603509825902845409199091 x1[1] (numeric) = 2.0001410855824257512052878669085 absolute error = 0.00010251792740015164012133218249066 relative error = 0.0051252721028710459197797010975963 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.114e+04 Order of pole = 1.967e+08 TOP MAIN SOLVE Loop memory used=2296.5MB, alloc=4.9MB, time=105.36 t[1] = 2.001 x2[1] (analytic) = 1.0109820511251484483471075202772 x2[1] (numeric) = 1.0110781510681621801285615924399 absolute error = 9.6099943013731781454072162705300e-05 relative error = 0.0095056032801749184014842115933243 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002433600280772414186607805762 x1[1] (numeric) = 2.0001404230682297541259822735275 absolute error = 0.00010293695984748729267850704870082 relative error = 0.0051462218000334907028398731980927 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.117e+04 Order of pole = 1.969e+08 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.9MB, time=105.54 t[1] = 2.002 x2[1] (analytic) = 1.0110039154652361436629704161869 x2[1] (numeric) = 1.0111005212298234580532066325643 absolute error = 9.6605764587314390236216377410898e-05 relative error = 0.0095554293222355206554276429475104 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002431167896886283491567964924 x1[1] (numeric) = 2.000139759891188193504955888682 absolute error = 0.00010335689850043484420090781043014 relative error = 0.0051672168064409386862900348268901 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.120e+04 Order of pole = 1.971e+08 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.9MB, time=105.71 memory used=2307.9MB, alloc=4.9MB, time=105.88 t[1] = 2.003 x2[1] (analytic) = 1.0110258236994419263189987466648 x2[1] (numeric) = 1.0111229371728370955241315348877 absolute error = 9.7113473395169205132788222831222e-05 relative error = 0.0096054394575028311972032822469155 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002428737944168252280143109422 x1[1] (numeric) = 2.00013909605063789224538333604 absolute error = 0.00010377774377893298263097490220495 relative error = 0.0051882571430972720156326675446682 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.123e+04 Order of pole = 1.973e+08 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.9MB, time=106.06 t[1] = 2.004 x2[1] (analytic) = 1.0110477759155202600358315542831 x2[1] (numeric) = 1.0111453989898541782048710604994 absolute error = 9.7623074333918169039506216273600e-05 relative error = 0.0096556341509696593865151658481102 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002426310420188367631805961245 x1[1] (numeric) = 2.0001384315459150097416433083266 absolute error = 0.00010419949610382702153728779795191 relative error = 0.0052093428310516853630980200587355 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.126e+04 Order of pole = 1.975e+08 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.9MB, time=106.24 t[1] = 2.005 x2[1] (analytic) = 1.0110697722014014146459967025124 x2[1] (numeric) = 1.0111679067737122766117670783473 absolute error = 9.8134572310861965770375834879349e-05 relative error = 0.0097060138685774018504950730869624 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002423885322519105364378200323 x1[1] (numeric) = 2.0001377663763550412154779063823 absolute error = 0.00010462215589686932095991365002139 relative error = 0.0052304738913987070122440813964511 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.129e+04 Order of pole = 1.977e+08 TOP MAIN SOLVE Loop memory used=2319.3MB, alloc=4.9MB, time=106.41 t[1] = 2.006 x2[1] (analytic) = 1.0110918126451918179364837058914 x2[1] (numeric) = 1.0111904606174358204546471621563 absolute error = 9.8647972244002518163456264932849e-05 relative error = 0.0097565790772177540140879344251093 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002421462648735367606506080052 x1[1] (numeric) = 2.00013710054129281705148780553 absolute error = 0.00010504572358071970916280247528587 relative error = 0.0052516503452782199878194714673614 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.132e+04 Order of pole = 1.979e+08 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.9MB, time=106.58 t[1] = 2.007 x2[1] (analytic) = 1.0111138973351744081958272973282 x2[1] (numeric) = 1.0112130606142364737279319788187 absolute error = 9.9163279062065532104681490467522e-05 relative error = 0.0098073302447344239199080560321328 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002419042396414480372562353854 x1[1] (numeric) = 2.0001364340400625021319625847447 absolute error = 0.00010547019957894590529365064074346 relative error = 0.0052728722138754832309105200171995 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.135e+04 Order of pole = 1.981e+08 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.9MB, time=106.76 memory used=2330.8MB, alloc=4.9MB, time=106.94 t[1] = 2.008 x2[1] (analytic) = 1.0111360263598089874671120425931 x2[1] (numeric) = 1.0112357068575135105536748264494 absolute error = 9.9680497704523086562783856323510e-05 relative error = 0.0098582678399248483374831628922455 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002416624563136191139972087654 x1[1] (numeric) = 2.0001357668719975951710455534568 absolute error = 0.00010589558431602394295165530852533 relative error = 0.0052941395184211528193938499794377 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.138e+04 Order of pole = 1.983e+08 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.9MB, time=107.11 t[1] = 2.009 x2[1] (analytic) = 1.0111581998077325755083111356255 x2[1] (numeric) = 1.0112583994408541917780396910268 absolute error = 0.00010019963312161626972855540123932 relative error = 0.0099093923325419111617856262429301 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002414209146482666428959935621 x1[1] (numeric) = 2.000135099036430928048232410154 absolute error = 0.00010632187821733859466358340809693 relative error = 0.0053154522801913032337158262545075 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.141e+04 Order of pole = 1.985e+08 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.9MB, time=107.29 t[1] = 2.01 x2[1] (analytic) = 1.0111804177677597644613753374967 x2[1] (numeric) = 1.0112811384580341423227272072895 absolute error = 0.00010072069027437786135186979280365 relative error = 0.0099607041932956641009325110072065 % Correct digits = 4 h = 0.001 x1[1] (analytic) = 2.0002411796144038489384716458907 x1[1] (numeric) = 2.0001344305326946651412030662789 absolute error = 0.00010674908170918379726857961175708 relative error = 0.0053368105205074486680202759931412 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.145e+04 Order of pole = 1.987e+08 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.9MB, time=107.46 t[1] = 2.011 x2[1] (analytic) = 1.0112026803288830742314908567455 x2[1] (numeric) = 1.0113039240030177292928609323544 absolute error = 0.00010124367413465506137007560890725 relative error = 0.010012203893855049652918254521588 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000240938555339065736198106955 x1[1] (numeric) = 2.0001337613601203026579859682568 absolute error = 0.00010717719521876307821213869827857 relative error = 0.0053582142607365643866459315286003 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.148e+04 Order of pole = 1.989e+08 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.9MB, time=107.63 t[1] = 2.012 x2[1] (analytic) = 1.0112249875802733085779278093669 x2[1] (numeric) = 1.0113267561699584408428493693674 absolute error = 0.00010176858968513226492156000047263 relative error = 0.010063891906849626371225868937945 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002406977372128579512039184134 x1[1] (numeric) = 2.0001330915180386679684542498147 absolute error = 0.00010760621917418998274966859869813 relative error = 0.0053796635222911081260150921928716 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.151e+04 Order of pole = 1.991e+08 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.9MB, time=107.81 memory used=2353.7MB, alloc=4.9MB, time=107.98 t[1] = 2.013 x2[1] (analytic) = 1.0112473396112799119179037429692 x2[1] (numeric) = 1.0113496350531992658017422134077 absolute error = 0.0001022954419193538838384704384585 relative error = 0.010115768705871296419144545838128 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002404571597844074372131174187 x1[1] (numeric) = 2.0001324210057799189351530460909 absolute error = 0.00010803615400448850206007132785427 relative error = 0.0054011583266290415419350463642847 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.154e+04 Order of pole = 1.993e+08 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.9MB, time=108.16 t[1] = 2.014 x2[1] (analytic) = 1.0112697365114313268448895615615 x2[1] (numeric) = 1.0113725607472730740596023328567 absolute error = 0.00010282423584174721471277129519305 relative error = 0.01016783476547603541260343249309 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002402168228131367457270702744 x1[1] (numeric) = 2.0001317498226735432434573003591 absolute error = 0.00010846700013959350226976991528976 relative error = 0.0054226986952538517023338402284716 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.157e+04 Order of pole = 1.995e+08 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.9MB, time=108.33 t[1] = 2.015 x2[1] (analytic) = 1.0112921783704353523627880450792 x2[1] (numeric) = 1.0113955333469029977164180465159 absolute error = 0.0001033549764676453536300014367454 relative error = 0.010220090561185624551313144470213 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002399767260587088854470038874 x1[1] (numeric) = 2.0001310779680483577310593935278 absolute error = 0.00010889875801035115438761035958138 relative error = 0.0054442846497145726254520248912026 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.160e+04 Order of pole = 1.997e+08 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.9MB, time=108.50 t[1] = 2.016 x2[1] (analytic) = 1.0113146652781795028374180211297 x2[1] (numeric) = 1.0114185529470028129950833099397 absolute error = 0.00010388766882331015766528881005891 relative error = 0.010272536569489385037988278589565 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002397368692810270819369944419 x1[1] (numeric) = 2.0001304054412325077167859259009 absolute error = 0.0001093314280485193651510685410347 relative error = 0.0054659162116058068635120586604235 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.163e+04 Order of pole = 1.999e+08 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.9MB, time=108.68 t[1] = 2.017 x2[1] (analytic) = 1.0113371973247313676667401155408 x2[1] (numeric) = 1.0114416196426773229199764837376 absolute error = 0.00010442231794595525323636819670445 relative error = 0.010325173267845914785405793196818 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002394972522402345375271729547 x1[1] (numeric) = 2.0001297322415534663287429800157 absolute error = 0.00010976501068676820878419293898669 relative error = 0.0054875934025677471318870865158511 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.166e+04 Order of pole = 2.001e+08 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.9MB, time=108.85 memory used=2376.6MB, alloc=4.9MB, time=109.03 t[1] = 2.018 x2[1] (analytic) = 1.0113597746003389716712628831438 x2[1] (numeric) = 1.0114647335292227407626714220189 absolute error = 0.0001049589288837690914085388751326 relative error = 0.010378001134684827411035629001661 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002392578746967141914569076178 x1[1] (numeric) = 2.0001290583683380338317891927061 absolute error = 0.00011019950635868035966771491169496 relative error = 0.0055093162442861979837908640077758 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.169e+04 Order of pole = 2.003e+08 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.9MB, time=109.20 t[1] = 2.019 x2[1] (analytic) = 1.0113823971954311362060710008235 x2[1] (numeric) = 1.0114878947021270742563176907095 absolute error = 0.00010549750669593805024668988597341 relative error = 0.010431020649408493518961352968898 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002390187364110884802577230691 x1[1] (numeric) = 2.0001283838209123369543359638602 absolute error = 0.00011063491549875152592175920895984 relative error = 0.0055310847584925975305106380723439 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.172e+04 Order of pole = 2.005e+08 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.9MB, time=109.38 t[1] = 2.02 x2[1] (analytic) = 1.01140506520061784099592009124 x2[1] (numeric) = 1.011511103257070510580229803171 absolute error = 0.00010603805645266958430971193102061 relative error = 0.010484232292393784268789919587172 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002387798371442190983757169765 x1[1] (numeric) = 2.0001277085986018282144741286763 absolute error = 0.000111071238542390883901588300226 relative error = 0.0055528989669640392072048425185671 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.175e+04 Order of pole = 2.007e+08 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.9MB, time=109.56 t[1] = 2.021 x2[1] (analytic) = 1.0114277787066905866948456377705 x2[1] (numeric) = 1.0115343592899258021162284444273 absolute error = 0.0001065805832352154213828066568107 relative error = 0.010537636544993817231230857918809 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002385411766572067590332345552 x1[1] (numeric) = 2.0001270327007312852454264195413 absolute error = 0.00011150847592592151360681501394417 relative error = 0.0055747588915232935842875112326919 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.178e+04 Order of pole = 2.009e+08 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.9MB, time=109.73 t[1] = 2.022 x2[1] (analytic) = 1.0114505378046227581717363491614 x2[1] (numeric) = 1.0115576628967586529782797453404 absolute error = 0.00010712509213589480654339617893664 relative error = 0.010591233889539704530006308793843 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002383027547113909553295618821 x1[1] (numeric) = 2.0001263561266248101203250429847 absolute error = 0.00011194662808658083500451889744185 relative error = 0.005596664554038830224421357458401 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.182e+04 Order of pole = 2.011e+08 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.9MB, time=109.91 memory used=2399.4MB, alloc=4.9MB, time=110.08 t[1] = 2.023 x2[1] (analytic) = 1.0114733425855699885233252361173 x2[1] (numeric) = 1.0115810141738281063169817643115 absolute error = 0.00010767158825811779365652819419315 relative error = 0.010645024809342303269734353991448 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002380645710683497215803991066 x1[1] (numeric) = 2.0001256788756058286763136964861 absolute error = 0.00011238569546252104526670262045573 relative error = 0.0056186159764248395851415128466435 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.185e+04 Order of pole = 2.013e+08 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.9MB, time=110.26 t[1] = 2.024 x2[1] (analytic) = 1.0114961931408705238160545716062 x2[1] (numeric) = 1.0116044132175869324004504365113 absolute error = 0.00010822007671640858439586490510782 relative error = 0.010699009788693968249408997891127 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002378266254898993948958748978 x1[1] (numeric) = 2.0001250009469970898379733492379 absolute error = 0.00011282567849280955692252565981868 relative error = 0.0056406131806412549671319653267642 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.188e+04 Order of pole = 2.015e+08 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.9MB, time=110.44 t[1] = 2.025 x2[1] (analytic) = 1.0115190895620455885582738220398 x2[1] (numeric) = 1.011627860124682017473160359286 absolute error = 0.00010877056263642891488653724614515 relative error = 0.010753189312870306961080981511778 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000237588917738094376996863706 x1[1] (numeric) = 2.0001243223401206649400711102884 absolute error = 0.00011326657761742943692575341757148 relative error = 0.0056626561886937745081767802310519 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.191e+04 Order of pole = 2.017e+08 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.9MB, time=110.61 t[1] = 2.026 x2[1] (analytic) = 1.0115420319407997519042325576988 x2[1] (numeric) = 1.0116513549919547533942988972524 absolute error = 0.00010932305115500149006633955365489 relative error = 0.010807563868131936873324328725738 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002373514475752268962693676548 x1[1] (numeric) = 2.0001236430542979470496315068148 absolute error = 0.00011370839327727984663786083998503 relative error = 0.0056847450226338832228082345079069 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.194e+04 Order of pole = 2.019e+08 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.9MB, time=110.78 t[1] = 2.027 x2[1] (analytic) = 1.0115650203690212945913332778352 x2[1] (numeric) = 1.0116748979164414280571952116984 absolute error = 0.00010987754742013346586193386324941 relative error = 0.010862133941726244999054144372829 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002371142147638267700567251181 x1[1] (numeric) = 2.0001229630888496502873294945975 absolute error = 0.00011415112591417648272723052063331 relative error = 0.00570687970455887508767403928458 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.197e+04 Order of pole = 2.021e+08 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.9MB, time=110.96 memory used=2422.3MB, alloc=4.9MB, time=111.13 t[1] = 2.028 x2[1] (analytic) = 1.0115880549387825766121120188082 x2[1] (numeric) = 1.0116984889953736165913889462577 absolute error = 0.00011043405659103997927692744951683 relative error = 0.010916900021889149747241703641146 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002368772190666611671894082744 x1[1] (numeric) = 2.0001222824430958091482045220876 absolute error = 0.00011459477597085201898488618675192 relative error = 0.0057290602566118751726458714888998 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.200e+04 Order of pole = 2.023e+08 TOP MAIN SOLVE Loop memory used=2426.2MB, alloc=4.9MB, time=111.31 t[1] = 2.029 x2[1] (analytic) = 1.0116111357423404056224175523991 x2[1] (numeric) = 1.0117221283261785733489064344437 absolute error = 0.00011099258383816772648888204458825 relative error = 0.01097186259784686505805329106054 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002366404602467343707521721674 x1[1] (numeric) = 2.0001216011163557778216949687827 absolute error = 0.00011503934389095654905720338465248 relative error = 0.0057512867009818618176914807106374 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.203e+04 Order of pole = 2.025e+08 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.9MB, time=111.49 t[1] = 2.03 x2[1] (analytic) = 1.011634262872136406087262926132 x2[1] (numeric) = 1.0117458160064796246763154345168 absolute error = 0.0001115531343432185890525083848608 relative error = 0.011027022159817666820919565404548 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002364039380672875410883180418 x1[1] (numeric) = 2.0001209191079482295109922779448 absolute error = 0.00011548483011905803009604009694063 relative error = 0.0057735590599036888555326829771847 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.206e+04 Order of pole = 2.027e+08 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.9MB, time=111.66 t[1] = 2.031 x2[1] (analytic) = 1.0116574364207973891658260479941 x2[1] (numeric) = 1.011769552134096562474132543334 absolute error = 0.00011211571329917330830649533991745 relative error = 0.011082379199013661575022443348798 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000236167652291798479040833956 x1[1] (numeric) = 2.0001202364171911557517141030143 absolute error = 0.00011593123510064272732673094170492 relative error = 0.0057958773556581078801115986351101 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.209e+04 Order of pole = 2.029e+08 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.9MB, time=111.84 t[1] = 2.032 x2[1] (analytic) = 1.0116806564811357233370789744334 x2[1] (numeric) = 1.0117933368070460385451605933086 absolute error = 0.0001126803259103152080816188751657 relative error = 0.011137934207642557491666609519742 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002359316026839813894301759156 x1[1] (numeric) = 2.0001195530434018657298957863939 absolute error = 0.00011637855928211565953438952170817 relative error = 0.0058182416105717905608875370689252 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.213e+04 Order of pole = 2.031e+08 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.9MB, time=112.01 memory used=2445.2MB, alloc=4.9MB, time=112.19 t[1] = 2.033 x2[1] (analytic) = 1.0117039231461497057675285229034 x2[1] (numeric) = 1.0118171701235419597333364953942 absolute error = 0.00011324697739225396580797249072683 relative error = 0.011193687678909437637982773217081 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002356957890077866447684530027 x1[1] (numeric) = 2.0001188689858969855992994885928 absolute error = 0.00011682680311080104546896440992049 relative error = 0.0058406518470173510029869765511152 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.216e+04 Order of pole = 2.033e+08 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.9MB, time=112.36 t[1] = 2.034 x2[1] (analytic) = 1.011727236509023934422553798558 x2[1] (numeric) = 1.0118410521819958838546731561224 absolute error = 0.00011381567297194943211935756443436 relative error = 0.011249640107018535521389702235701 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002354602110274005492097802177 x1[1] (numeric) = 2.0001181842439924577980402850412 absolute error = 0.00011727596703494275116949517648737 relative error = 0.0058631080874133681532291331031786 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.219e+04 Order of pole = 2.035e+08 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.9MB, time=112.54 t[1] = 2.035 x2[1] (analytic) = 1.0117505966631296809228291989652 x2[1] (numeric) = 1.0118649830810174164218822681724 absolute error = 0.00011438641788773549905306920723567 relative error = 0.011305791987175012914221871476487 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000235224868507245102736562982 x1[1] (numeric) = 2.0001174988170035403645285472005 absolute error = 0.00011772605150370473820801578142598 relative error = 0.0058856103542244082520496578561457 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.222e+04 Order of pole = 2.037e+08 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.9MB, time=112.71 t[1] = 2.036 x2[1] (analytic) = 1.0117740037020252641473244409385 x2[1] (numeric) = 1.0118889629194146081642679517542 absolute error = 0.00011495921738934401694351081562503 relative error = 0.01136214381558673995790926804744 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000234989761211977765581477489 x1[1] (numeric) = 2.000116812704244806252727923912 absolute error = 0.0001181770569671715128535535769905 relative error = 0.005908158669961047331345048030843 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.225e+04 Order of pole = 2.039e+08 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.9MB, time=112.89 t[1] = 2.037 x2[1] (analytic) = 1.0117974577194564245843761397704 x2[1] (numeric) = 1.0119129917961943533444844082491 absolute error = 0.00011553407673792876010826847876454 relative error = 0.011418696089466077546075494943524 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000234754888906491222884911325 x1[1] (numeric) = 2.0001161259050301426467282382413 absolute error = 0.00011862898387634857615667308374291 relative error = 0.0059307530571798937582604023130792 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.228e+04 Order of pole = 2.042e+08 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.9MB, time=113.06 memory used=2468.1MB, alloc=4.9MB, time=113.24 t[1] = 2.038 x2[1] (analytic) = 1.0118209588093566994323284633266 x2[1] (numeric) = 1.0119370698105627888737539380951 absolute error = 0.00011611100120608944142547476846532 relative error = 0.011475449307031661985899811780978 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002345202513559131495876290171 x1[1] (numeric) = 2.0001154384186727502746326143922 absolute error = 0.00011908183268316287495501462491056 relative error = 0.0059533935384836108249431970770047 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.231e+04 Order of pole = 2.044e+08 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.9MB, time=113.42 t[1] = 2.039 x2[1] (analytic) = 1.0118445070658477984512433816175 x2[1] (numeric) = 1.0119611970619256942271448718265 absolute error = 0.00011668999607789577590149020900289 relative error = 0.011532403967510191937068143074079 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002342858483256059755584274014 x1[1] (numeric) = 2.0001147502444851427217581485768 absolute error = 0.00011953560384046325380027882460658 relative error = 0.0059760801365209393842858056111694 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.234e+04 Order of pole = 2.046e+08 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.9MB, time=113.59 t[1] = 2.04 x2[1] (analytic) = 1.0118681025832399805671840366238 x2[1] (numeric) = 1.0119853736498888921605121665154 absolute error = 0.00011727106664891159332812989162482 relative error = 0.011589560571138217627617371803149 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002340516795811666509565459387 x1[1] (numeric) = 2.0001140613817791457431494370418 absolute error = 0.00011999029780202090780710889693555 relative error = 0.0059988128739867205316795282263381 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.237e+04 Order of pole = 2.048e+08 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.9MB, time=113.77 t[1] = 2.041 x2[1] (analytic) = 1.0118917454560324312305777673322 x2[1] (numeric) = 1.0120095996742586502307066295986 absolute error = 0.00011785421822621900012886226637661 relative error = 0.011646919619163932345956418154523 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.00023381774488842641182859734 x1[1] (numeric) = 2.0001133718298658965754042737651 absolute error = 0.00012044591502252983642432357490417 relative error = 0.0060215917736219183328029468719408 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.241e+04 Order of pole = 2.050e+08 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.9MB, time=113.94 t[1] = 2.042 x2[1] (analytic) = 1.0119154357789136405301683411376 x2[1] (numeric) = 1.0120338752350420831206619482499 absolute error = 0.00011843945612844259049360711232384 relative error = 0.01170448161384896620832667993816 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002335840440134505459397840992 x1[1] (numeric) = 2.0001126815880558432478108296488 absolute error = 0.00012090245595760729812895445040792 relative error = 0.0060444168582136425974674636592004 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.244e+04 Order of pole = 2.052e+08 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.9MB, time=114.12 memory used=2491.0MB, alloc=4.9MB, time=114.29 t[1] = 2.043 x2[1] (analytic) = 1.0119391736467617820640699650085 x2[1] (numeric) = 1.0120582004324475557709719250657 absolute error = 0.00011902678568577370690196005718884 relative error = 0.011762247058470182200943381927245 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002333505767225381588391667636 x1[1] (numeric) = 2.0001119906556587438927956243442 absolute error = 0.00012135992106379426604354241936877 relative error = 0.0060672881505951716995429284835272 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.247e+04 Order of pole = 2.054e+08 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.9MB, time=114.46 t[1] = 2.044 x2[1] (analytic) = 1.0119629591546450925694386781057 x2[1] (numeric) = 1.0120825753668850873195735498954 absolute error = 0.00011961621223999475013487178965234 relative error = 0.011820216457321474496038245836465 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002331173427822219401587500081 x1[1] (numeric) = 2.0001112990319836660556816011587 absolute error = 0.00012181831079855588447714884935845 relative error = 0.0060902056736459754429863067567435 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.250e+04 Order of pole = 2.056e+08 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.9MB, time=114.64 t[1] = 2.045 x2[1] (analytic) = 1.0119867923978222523122797618952 x2[1] (numeric) = 1.0121070001389667558511547731781 absolute error = 0.00012020774114450353887501128290177 relative error = 0.011878390315715569041002650480575 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002328843419592679301461528113 x1[1] (numeric) = 2.0001106067163389860037556148006 absolute error = 0.00012227762562028192639053801075642 relative error = 0.0061131694502917379739963841011552 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.253e+04 Order of pole = 2.058e+08 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.9MB, time=114.82 t[1] = 2.046 x2[1] (analytic) = 1.0120106734717427662389128442265 x2[1] (numeric) = 1.0121314748495071039579090881537 absolute error = 0.00012080137776433771899624392724573 relative error = 0.011936769139985826419809102450432 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002326515740206752864306292673 x1[1] (numeric) = 2.0001099137080323880346446410307 absolute error = 0.0001227378659882872517859882366632 relative error = 0.0061361795035043807393175507224505 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.256e+04 Order of pole = 2.060e+08 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.9MB, time=114.99 t[1] = 2.047 x2[1] (analytic) = 1.012034602472047345890619420362 x2[1] (numeric) = 1.0121559995995235451132622778156 absolute error = 0.00012139712747619922264285745356801 relative error = 0.011995353437488046985867381026912 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000232419038733676051022206798 x1[1] (numeric) = 2.0001092200063708637840000165965 absolute error = 0.0001231990323628122670221902014183 relative error = 0.006159235856302085490715754066943 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.259e+04 Order of pole = 2.062e+08 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.9MB, time=115.17 memory used=2513.9MB, alloc=4.9MB, time=115.34 t[1] = 2.048 x2[1] (analytic) = 1.0120585794945682920830005665571 x2[1] (numeric) = 1.012180574490236770860199937476 absolute error = 0.00012199499566847877719937091887594 relative error = 0.012054143716602278265450156640293 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002321867358657349175437087656 x1[1] (numeric) = 2.0001085256106607115324890171329 absolute error = 0.00012366112520502338505469163265934 relative error = 0.0061823385317493173356497542808119 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.262e+04 Order of pole = 2.064e+08 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.9MB, time=115.52 t[1] = 2.049 x2[1] (analytic) = 1.0120826046353298783515756805158 x2[1] (numeric) = 1.0122051996230711588158276453368 absolute error = 0.00012259498774128046425196482101931 relative error = 0.012113140486734624630801209588878 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000231954665184548998695428718 x1[1] (numeric) = 2.0001078305202075355120930800206 absolute error = 0.0001241241449770134866023486974055 relative error = 0.006205487552956847834160862924788 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.266e+04 Order of pole = 2.066e+08 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.9MB, time=115.69 t[1] = 2.05 x2[1] (analytic) = 1.0121066779905487351651561478966 x2[1] (numeric) = 1.0122298750996551814937989215093 absolute error = 0.00012319710910644632864277361263206 relative error = 0.01217234425831905924201759457028 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002317228264580475939522237301 x1[1] (numeric) = 2.0001071347343162452117119785015 absolute error = 0.00012458809214180238224024522865505 relative error = 0.0062286829430817781420043913572246 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.269e+04 Order of pole = 2.068e+08 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.9MB, time=115.87 t[1] = 2.051 x2[1] (analytic) = 1.0121307996566342349085309050265 x2[1] (numeric) = 1.0122546010218218159462493905218 absolute error = 0.00012380136518758103771848549529567 relative error = 0.012231755542819238256775206465173 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002314912194543919574927945397 x1[1] (numeric) = 2.0001064382522910546820732526542 absolute error = 0.00012505296716333727541954188545462 relative error = 0.006251924725327562200046081181726 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.272e+04 Order of pole = 2.070e+08 TOP MAIN SOLVE Loop memory used=2529.2MB, alloc=4.9MB, time=116.04 t[1] = 2.052 x2[1] (analytic) = 1.0121549697301888776360039451138 x2[1] (numeric) = 1.0122793774916089542268788435084 absolute error = 0.000124407761420076590874898394658 relative error = 0.012291374852730317306945203358854 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002312598439419750663609204058 x1[1] (numeric) = 2.0001057410734354818399462021395 absolute error = 0.00012551877050649322641471826632817 relative error = 0.0062752129229440299699468351625293 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.275e+04 Order of pole = 2.072e+08 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.9MB, time=116.22 memory used=2536.8MB, alloc=4.9MB, time=116.40 t[1] = 2.053 x2[1] (analytic) = 1.0121791883080086775973268985444 x2[1] (numeric) = 1.012304204611259814676826183991 absolute error = 0.00012501630325113707949928544658405 relative error = 0.012351202701580770241126633602316 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002310286996894213888584168526 x1[1] (numeric) = 2.0001050431970523477716597449292 absolute error = 0.00012598550263707361719867192334618 relative error = 0.00629854755922741071615911304169 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.278e+04 Order of pole = 2.074e+08 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.9MB, time=116.57 t[1] = 2.054 x2[1] (analytic) = 1.0122034554870835505375729073104 x2[1] (numeric) = 1.0123290824832233540349855354745 absolute error = 0.00012562699613980349741262816418582 relative error = 0.012411239603934210132098394412002 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002307977864655866531695846893 x1[1] (numeric) = 2.0001043446224437760359234455373 absolute error = 0.00012645316402181061724613915197306 relative error = 0.0063219286575203563342584027468538 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.281e+04 Order of pole = 2.077e+08 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.9MB, time=116.74 t[1] = 2.055 x2[1] (analytic) = 1.0122277713645977017725011092701 x2[1] (numeric) = 1.0123540112101546803744150899767 absolute error = 0.0001262398455569786019139807066014 relative error = 0.012471486075391212548171319695979 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002305671040395576162169189328 x1[1] (numeric) = 2.0001036453489111919659510155726 absolute error = 0.00012692175512836565026590336015211 relative error = 0.006345356241211964725633223557055 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.284e+04 Order of pole = 2.079e+08 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.9MB, time=116.92 t[1] = 2.056 x2[1] (analytic) = 1.0122521360379300150409641497883 x2[1] (numeric) = 1.0123789908949154668664935841218 absolute error = 0.00012685485698545182552943433349037 relative error = 0.012531942632591141087398754082338 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002303366521806518327478464872 x1[1] (numeric) = 2.0001029453757553219708855887383 absolute error = 0.00012739127642532986186225774887563 relative error = 0.0063688303337378032185571638966042 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.288e+04 Order of pole = 2.081e+08 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.9MB, time=117.09 t[1] = 2.057 x2[1] (analytic) = 1.0122765496046544421359142463606 x2[1] (numeric) = 1.0124040216405743663744826035658 absolute error = 0.00012747203591992423856835720521229 relative error = 0.012592609793213975173581418121232 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002301064306584174246522616678 x1[1] (numeric) = 2.0001022447022761928365260717021 absolute error = 0.00012786172838222458812618996574147 relative error = 0.0063923509585799320356665025537637 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.291e+04 Order of pole = 2.083e+08 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.9MB, time=117.27 memory used=2559.7MB, alloc=4.9MB, time=117.45 t[1] = 2.058 x2[1] (analytic) = 1.0123010121625403933155664461084 x2[1] (numeric) = 1.0124291035504074268781562372868 absolute error = 0.00012809138786703356258979117838285 relative error = 0.012653488075982140112979705941781 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002298764392426328505106288867 x1[1] (numeric) = 2.000101543327773131025353871564 absolute error = 0.00012833311146950182515675732272007 relative error = 0.0064159181392669278078670082716093 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.294e+04 Order of pole = 2.085e+08 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.9MB, time=117.62 t[1] = 2.059 x2[1] (analytic) = 1.0123255238095531284962808365422 x2[1] (numeric) = 1.012454236727898507731162930693 absolute error = 0.00012871291834537923488209415078813 relative error = 0.012714578000662339410623780875172 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000229646677703306675372422048 x1[1] (numeric) = 2.0001008412515447619758592999484 absolute error = 0.00012880542615854469951312209954602 relative error = 0.0064395318993739071346935588332679 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.297e+04 Order of pole = 2.087e+08 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.9MB, time=117.79 t[1] = 2.06 x2[1] (analytic) = 1.0123500846438541492287285967562 x2[1] (numeric) = 1.0124794212767396967527877205856 absolute error = 0.00012933663288554752405912382931296 relative error = 0.012775880088067389345088946310585 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002294171458106773407646704313 x1[1] (numeric) = 2.0001001384728890094011669530465 absolute error = 0.00012927867292166793959771738480889 relative error = 0.0064631922625225501911462669626754 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.300e+04 Order of pole = 2.089e+08 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.9MB, time=117.97 t[1] = 2.061 x2[1] (analytic) = 1.0123746947638015914589099092365 x2[1] (numeric) = 1.0125046573008317281557863757669 absolute error = 0.00012996253703013669687646653043566 relative error = 0.01283739486005805580058076793517 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002291878433352129349303810723 x1[1] (numeric) = 2.0000994349911030945869593662343 absolute error = 0.00012975285223211834797101483794834 relative error = 0.006486899252381124381026846585134 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.303e+04 Order of pole = 2.091e+08 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.9MB, time=118.14 t[1] = 2.062 x2[1] (analytic) = 1.0123993542679506190755948917575 x2[1] (numeric) = 1.0125299449042844013119663145332 absolute error = 0.0001305906363337822363714227757942 relative error = 0.012899122839544893355151309126375 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002289587700476109632966078776 x1[1] (numeric) = 2.0000987308054835356886982411907 absolute error = 0.00013022796456407527459836668696064 relative error = 0.0065106528926645080367989992393303 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.306e+04 Order of pole = 2.093e+08 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.9MB, time=118.32 memory used=2582.6MB, alloc=4.9MB, time=118.49 t[1] = 2.063 x2[1] (analytic) = 1.0124240632550538182457618544233 x2[1] (numeric) = 1.0125552841914170003571925244395 absolute error = 0.00013122093636318211143067001617265 relative error = 0.01296106455049008662384461321666 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002287299257187981191719379438 x1[1] (numeric) = 2.0000980259153261470281425427351 absolute error = 0.00013070401039265109102939520869801 relative error = 0.0065344532071342141659966467041396 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.310e+04 Order of pole = 2.095e+08 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.9MB, time=118.67 t[1] = 2.064 x2[1] (analytic) = 1.0124488218240615925396103387829 x2[1] (numeric) = 1.0125806752667587146375000705897 absolute error = 0.00013185344269712209788973180683035 relative error = 0.013023220517909293855546224238355 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000228501310119930054673165776 x1[1] (numeric) = 2.0000973203199260383891627619048 absolute error = 0.0001311809901938916655104038711899 relative error = 0.0065583002195984142442038821995329 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.313e+04 Order of pole = 2.097e+08 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.9MB, time=118.84 t[1] = 2.065 x2[1] (analytic) = 1.0124736300741225588467295541344 x2[1] (numeric) = 1.0126061182350490599979981463007 absolute error = 0.00013248816092650115126859216623767 relative error = 0.013085591267873492782288081180463 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002282729230223911518809263347 x1[1] (numeric) = 2.0000966140185776143128506410842 absolute error = 0.00013165890444477683903028525043676 relative error = 0.0065821939539119620546305588412738 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.316e+04 Order of pole = 2.099e+08 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.9MB, time=119.02 t[1] = 2.066 x2[1] (analytic) = 1.0124984881045839440850059906438 x2[1] (numeric) = 1.0126316132012383009162539943236 absolute error = 0.0001331250966543568312480036798338 relative error = 0.013148177327510828719736549349076 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000228044764197794294224058065 x1[1] (numeric) = 2.0000959070105745733919236562974 absolute error = 0.00013213775362322090230040176762404 relative error = 0.0066061344339764175743074803738767 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.319e+04 Order of pole = 2.102e+08 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.9MB, time=119.19 t[1] = 2.067 x2[1] (analytic) = 1.0125233960149919827038571597434 x2[1] (numeric) = 1.0126571602704878734818484079046 absolute error = 0.00013376425549589077799124816122462 relative error = 0.013210979225008464917567665717254 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002278168334179806380924672933 x1[1] (numeric) = 2.0000951992952099075644235510667 absolute error = 0.00013261753820807307366891622667682 relative error = 0.0066301216837400709069252055755549 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.322e+04 Order of pole = 2.104e+08 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.9MB, time=119.37 memory used=2605.4MB, alloc=4.9MB, time=119.55 t[1] = 2.068 x2[1] (analytic) = 1.0125483539050923149833815894711 x2[1] (numeric) = 1.0126827595481708092237979088273 absolute error = 0.00013440564307849424041631935613844 relative error = 0.013273997489614435158409872776262 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002275891304550193846782656037 x1[1] (numeric) = 2.0000944908717759014067082155372 absolute error = 0.0001330982586791179779700500665255 relative error = 0.0066541557271979662623405241226473 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.325e+04 Order of pole = 2.106e+08 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.9MB, time=119.72 t[1] = 2.069 x2[1] (analytic) = 1.0125733618748303861310183859582 x2[1] (numeric) = 1.0127084111398721597875420942285 absolute error = 0.0001350492650417736565237082702988 relative error = 0.013337232651639498604010596954782 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000227361655081207552044952036 x1[1] (numeric) = 2.0000937817395641314257362038586 absolute error = 0.00013357991551707612630874817738059 relative error = 0.006678236588391925982774708119336 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.329e+04 Order of pole = 2.108e+08 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.9MB, time=119.90 t[1] = 2.07 x2[1] (analytic) = 1.0125984200243518461773128622039 x2[1] (numeric) = 1.0127341151513894224631980454259 absolute error = 0.00013569512703757628588518322200517 relative error = 0.013400685242458996887258992751707 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000227134407069069747424412174 x1[1] (numeric) = 2.0000930718978654653506431821083 absolute error = 0.0001340625092036043967812300657216 relative error = 0.006702364291410574615727689941385 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.332e+04 Order of pole = 2.110e+08 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.9MB, time=120.07 t[1] = 2.071 x2[1] (analytic) = 1.0126235284540029506723879315822 x2[1] (numeric) = 1.0127598716887329665667871002467 absolute error = 0.00013634323473001589439916866448303 relative error = 0.013464355794514713448673021926309 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002269073861913579397415064212 x1[1] (numeric) = 2.0000923613459700614236095983326 absolute error = 0.000134546040221296516131908088591 relative error = 0.0067265388603893630336323635102027 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.335e+04 Order of pole = 2.112e+08 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.9MB, time=120.25 t[1] = 2.072 x2[1] (analytic) = 1.0126486872643309621847241662402 x2[1] (numeric) = 1.012785680858126460676142705433 absolute error = 0.0001369935937954984914185391928264 relative error = 0.013528244841316735115934768000879 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002266805922210512323660199881 x1[1] (numeric) = 2.0000916500831673676900188655739 absolute error = 0.00013503050905368354234715441415182 relative error = 0.0067507603195105926002732526057882 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.338e+04 Order of pole = 2.114e+08 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.9MB, time=120.42 memory used=2628.3MB, alloc=4.9MB, time=120.59 t[1] = 2.073 x2[1] (analytic) = 1.0126738965560845526038546296656 x2[1] (numeric) = 1.0128115427660073007232114876121 absolute error = 0.00013764620992274811935685794645964 relative error = 0.013592352917445315925033499548255 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002264540249313556360917473435 x1[1] (numeric) = 2.0000909381087461212879053480412 absolute error = 0.00013551591618523434818639930231602 relative error = 0.0067750286930034393839938363441241 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.341e+04 Order of pole = 2.116e+08 TOP MAIN SOLVE Loop memory used=2632.2MB, alloc=4.9MB, time=120.77 t[1] = 2.074 x2[1] (analytic) = 1.0126991564302142062485838082516 x2[1] (numeric) = 1.012837457519027038944463110093 absolute error = 0.00013830108881283269587930184134814 relative error = 0.013656680558552743181551490852156 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002262276840957038423424841093 x1[1] (numeric) = 2.0000902254219943477366914398727 absolute error = 0.00013600226210135610565104423658215 relative error = 0.006799344005143978417716868486358 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.344e+04 Order of pole = 2.118e+08 TOP MAIN SOLVE Loop memory used=2636.0MB, alloc=4.9MB, time=120.94 t[1] = 2.075 x2[1] (analytic) = 1.0127244669878726237823431886681 x2[1] (numeric) = 1.0128634252240518136911279183857 absolute error = 0.00013895823617918990878472971754258 relative error = 0.013721228301365205760602985133039 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002260015694877549966046996031 x1[1] (numeric) = 2.0000895120221993602252130252271 absolute error = 0.00013648954728839477139167437603582 relative error = 0.0068237062802552080058020738137287 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.348e+04 Order of pole = 2.121e+08 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.9MB, time=121.12 t[1] = 2.076 x2[1] (analytic) = 1.0127498283304151269372992562843 x2[1] (numeric) = 1.0128894459881627801009848198522 absolute error = 0.00013961765774765316368556356790981 relative error = 0.013785996683684664643911943216484 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002257756808813944720866634634 x1[1] (numeric) = 2.0000887979086477588990326077286 absolute error = 0.00013697777223363557305405573476599 relative error = 0.0068481155427070740777656513936783 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.351e+04 Order of pole = 2.123e+08 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.9MB, time=121.30 t[1] = 2.077 x2[1] (analytic) = 1.0127752405594000640488329247846 x2[1] (numeric) = 1.0129155199186565416334252923085 absolute error = 0.00014027935925647758459236752394188 relative error = 0.013850986244390725692489358874273 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002255500180507336436038000146 x1[1] (numeric) = 2.0000880830806254301470393965798 absolute error = 0.00013746693742530349656440343473457 relative error = 0.0068725718169164945888860611789988 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.354e+04 Order of pole = 2.125e+08 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.9MB, time=121.47 memory used=2651.2MB, alloc=4.9MB, time=121.64 t[1] = 2.078 x2[1] (analytic) = 1.012800703776589216402012648494 x2[1] (numeric) = 1.0129416471230455824695228727092 absolute error = 0.00014094334645636606751022421520689 relative error = 0.013916197523442514653345940678729 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002253245807701096616900442585 x1[1] (numeric) = 2.0000873675374175458873356359411 absolute error = 0.00013795704335256377435440831740845 relative error = 0.0068970751273473839677206170232339 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.357e+04 Order of pole = 2.127e+08 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.9MB, time=121.82 t[1] = 2.079 x2[1] (analytic) = 1.0128262180839482053916867167913 x2[1] (numeric) = 1.0129678277090587007788409402824 absolute error = 0.000141609625110495387154223491173 relative error = 0.013981631061880554398650858665976 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002250993688140852269349736032 x1[1] (numeric) = 2.000086651278308562852408463464 absolute error = 0.00013844809050552237452651013922103 relative error = 0.0069216254985106776105574558619411 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.360e+04 Order of pole = 2.129e+08 TOP MAIN SOLVE Loop memory used=2658.9MB, alloc=4.9MB, time=122.00 t[1] = 2.08 x2[1] (analytic) = 1.012851783583646900497823484353 x2[1] (numeric) = 1.0129940617846414428547150786517 absolute error = 0.00014227820099454235689159429866504 relative error = 0.014047287401828644395722031990194 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002248743819574483645464896661 x1[1] (numeric) = 2.0000859343025822218735865831499 absolute error = 0.00013894007937522649095990651617738 relative error = 0.0069462229549643564228274995008598 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.363e+04 Order of pole = 2.131e+08 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.9MB, time=122.17 t[1] = 2.081 x2[1] (analytic) = 1.0128774003780598280777315518537 x2[1] (numeric) = 1.0130203494579565381197497785996 absolute error = 0.00014294907989671004201822674596904 relative error = 0.014113167086495742406208090654286 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002246496199752121991388247139 x1[1] (numeric) = 2.0000852166095215471647810369902 absolute error = 0.00013943301045366503435778772365269 relative error = 0.0069708675213134714075010721685779 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.367e+04 Order of pole = 2.133e+08 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.9MB, time=122.34 t[1] = 2.082 x2[1] (analytic) = 1.0129030685697665809767951791512 x2[1] (numeric) = 1.0130466908373843350032727272076 absolute error = 0.00014362226761775402647754805645075 relative error = 0.014179270660177848412796679907396 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002244250826426147297456475282 x1[1] (numeric) = 2.0000844981984088456055093591295 absolute error = 0.0001399268842337691242362883986598 relative error = 0.0069955592222101683004938837329784 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.370e+04 Order of pole = 2.135e+08 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.9MB, time=122.52 memory used=2674.1MB, alloc=4.9MB, time=122.70 t[1] = 2.083 x2[1] (analytic) = 1.0129287882615522289593634869418 x2[1] (numeric) = 1.0130730860315232376924934201632 absolute error = 0.00014429776997100873312993322137097 relative error = 0.014245598668259890771758189590274 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002242007697351186050580437091 x1[1] (numeric) = 2.0000837790685257060232023955755 absolute error = 0.00014042170120941258185564813357851 relative error = 0.0070202980823537122531071352476407 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.373e+04 Order of pole = 2.138e+08 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.9MB, time=122.87 t[1] = 2.084 x2[1] (analytic) = 1.0129545595564077299614352833674 x2[1] (numeric) = 1.0130995351491901437591163320716 absolute error = 0.00014497559278241379768104870423434 relative error = 0.014312151657217614589608282168439 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002239766810284108988871456545 x1[1] (numeric) = 2.000083059219152998474793071762 absolute error = 0.00014091746187541242409407389254832 relative error = 0.007045084126490512561526550286493 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.376e+04 Order of pole = 2.140e+08 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.9MB, time=123.04 t[1] = 2.085 x2[1] (analytic) = 1.0129803825575303421667846391324 x2[1] (numeric) = 1.0131260382994208826631623846608 absolute error = 0.00014565574189054049637774552837282 relative error = 0.014378930174619472322146762002516 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002237528162984028858511876788 x1[1] (numeric) = 2.0000823386495708735275863895544 absolute error = 0.00014141416672752935826479812442815 relative error = 0.007069917379414147443405182342433 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.379e+04 Order of pole = 2.142e+08 TOP MAIN SOLVE Loop memory used=2685.6MB, alloc=4.9MB, time=123.22 t[1] = 2.086 x2[1] (analytic) = 1.013006257368324036908175628339 x2[1] (numeric) = 1.0131525955914706551357559648354 absolute error = 0.00014633822314661822758033649641571 relative error = 0.014445934769128516594104374146072 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002235291753212298172867619568 x1[1] (numeric) = 2.0000816173590587615394099345674 absolute error = 0.00014191181626246827787682738942248 relative error = 0.0070947978659653888615548954083741 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.383e+04 Order of pole = 2.144e+08 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.9MB, time=123.40 t[1] = 2.087 x2[1] (analytic) = 1.0130321840923999123953179524936 x2[1] (numeric) = 1.0131792071348144734426382636393 absolute error = 0.00014702304241456104732031114571217 relative error = 0.014513165990504295237603043213951 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002233057578732506973840512051 x1[1] (numeric) = 2.0000808953468953719380441739449 absolute error = 0.00014241041097787875933987726016371 relative error = 0.0071197256110322273947714617273026 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.386e+04 Order of pole = 2.146e+08 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.9MB, time=123.58 memory used=2697.0MB, alloc=4.9MB, time=123.75 t[1] = 2.088 x2[1] (analytic) = 1.0130581628335766082712184719919 x2[1] (numeric) = 1.0132058730391476025301712333304 absolute error = 0.00014771020557099425895276133852735 relative error = 0.014580624389604748547608861207804 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002230825637310480595458142354 x1[1] (numeric) = 2.0000801726123586924999318240332 absolute error = 0.00014290995137235555961399020222719 relative error = 0.007144700639549897155818267591478 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.389e+04 Order of pole = 2.148e+08 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.9MB, time=123.92 t[1] = 2.089 x2[1] (analytic) = 1.0130841936958807209985869828615 x2[1] (numeric) = 1.0132325934143860020555999929823 absolute error = 0.00014839971850528105701301012081151 relative error = 0.014648310518388108752530807198594 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002228595926714277429699007394 x1[1] (numeric) = 2.0000794491547259886281655666557 absolute error = 0.00014341043794543911480433408373811 relative error = 0.0071697229765009007565936649899247 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.392e+04 Order of pole = 2.150e+08 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.9MB, time=124.09 t[1] = 2.09 x2[1] (analytic) = 1.0131102767835472200779578966481 x2[1] (numeric) = 1.0132593683706667693033450533075 absolute error = 0.00014909158711954922538715665942414 relative error = 0.01471622492991480169809173102582 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002226368444714186694550718867 x1[1] (numeric) = 2.0000787249732738026297533919778 absolute error = 0.00014391187119761603970167990891046 relative error = 0.007194792646915034320507053847899 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.395e+04 Order of pole = 2.153e+08 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.9MB, time=124.27 t[1] = 2.091 x2[1] (analytic) = 1.013136412201019865099192808084 x2[1] (numeric) = 1.0132861980183485829890992787698 absolute error = 0.00014978581732871788990647068576641 relative error = 0.01478436817834935074257155725657 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002224143189082726204299035429 x1[1] (numeric) = 2.0000780000672779529921608452269 absolute error = 0.0001444142516303196282690583160373 relative error = 0.0072199096758694125420888265721081 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.399e+04 Order of pole = 2.155e+08 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.9MB, time=124.44 t[1] = 2.092 x2[1] (analytic) = 1.0131626000529516236280322685906 x2[1] (numeric) = 1.0133130824680121479535080595254 absolute error = 0.00015048241506052432547579093472121 relative error = 0.01485274081896228286149596413004 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000222192015759464014204549136 x1[1] (numeric) = 2.0000772744360135336591294538094 absolute error = 0.00014491757974593035507509532663066 relative error = 0.0072450740884884937938593536111629 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.402e+04 Order of pole = 2.157e+08 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.9MB, time=124.62 memory used=2719.9MB, alloc=4.9MB, time=124.79 t[1] = 2.093 x2[1] (analytic) = 1.013188840444205089929368423754 x2[1] (numeric) = 1.0133400218304606407472147273265 absolute error = 0.00015118138625555081784630357250825 relative error = 0.014921343408132036959816964669518 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002219699348026896834451394224 x1[1] (numeric) = 2.0000765480787549133057706106433 absolute error = 0.00014542185604777637767452877908846 relative error = 0.0072702859099441052804822357620996 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.405e+04 Order of pole = 2.159e+08 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.9MB, time=124.97 t[1] = 2.094 x2[1] (analytic) = 1.0132151334798529045289135196842 x2[1] (numeric) = 1.0133670162167201561090568182407 absolute error = 0.00015188273686725158014329855642138 relative error = 0.014990176503346874389604863147943 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002217480758158686528705966279 x1[1] (numeric) = 2.0000758209947757346129341888005 absolute error = 0.00014592708104013403993640782744688 relative error = 0.0072955451654554682402270960008642 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.408e+04 Order of pole = 2.161e+08 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.9MB, time=125.14 t[1] = 2.095 x2[1] (analytic) = 1.0132414792651781746149426366449 x2[1] (numeric) = 1.0133940657380401543392023609092 absolute error = 0.00015258647286197972425972426431772 relative error = 0.015059240663206791671243979218 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.00022152643857714191717164066 x1[1] (numeric) = 2.0000750931833489135408511618265 absolute error = 0.00014643325522822837632047883345963 relative error = 0.0073208518802892231937672306874557 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.411e+04 Order of pole = 2.163e+08 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.9MB, time=125.32 t[1] = 2.096 x2[1] (analytic) = 1.0132678779056748952817923685233 x2[1] (numeric) = 1.0134211705058939095690189520964 absolute error = 0.00015329260021901428722658357306617 relative error = 0.015128536447425435416097323835327 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.00022130502286487221915176531 x1[1] (numeric) = 2.0000743646437466386020495033816 absolute error = 0.00014694037911823361710226192843184 relative error = 0.0073462060797594552403374870950161 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.415e+04 Order of pole = 2.166e+08 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.9MB, time=125.49 t[1] = 2.097 x2[1] (analytic) = 1.0132943295070483716168005336287 x2[1] (numeric) = 1.0134483306319789589294719714826 absolute error = 0.00015400112493058731267143785383176 relative error = 0.015198064416832019448578075185012 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002210838284576438280899625874 x1[1] (numeric) = 2.0000736353752403701335426391175 absolute error = 0.00014744845321727369454732346992751 relative error = 0.0073716077892277194012777813365905 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.418e+04 Order of pole = 2.168e+08 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.9MB, time=125.66 memory used=2742.8MB, alloc=4.9MB, time=125.84 t[1] = 2.098 x2[1] (analytic) = 1.0133208341752156416323753759578 x2[1] (numeric) = 1.0134755462282175526198518850468 absolute error = 0.00015471205300191098747650908896746 relative error = 0.015267825133373244125538238737391 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002208628551342623183249735468 x1[1] (numeric) = 2.0000729053771008395682897229791 absolute error = 0.00014795747803342275003525056766492 relative error = 0.0073970570341030660109877179135948 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.421e+04 Order of pole = 2.170e+08 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.9MB, time=126.01 t[1] = 2.099 x2[1] (analytic) = 1.0133473920163059000448860964767 x2[1] (numeric) = 1.013502817406757104878634190978 absolute error = 0.00015542539045120483374809450130614 relative error = 0.01533781916011521785085728287866 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002206421026737543480608441943 x1[1] (numeric) = 2.0000721746485980487059270093917 absolute error = 0.00014846745407570564213383480261698 relative error = 0.0074225538398420661553178192862794 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.424e+04 Order of pole = 2.172e+08 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.9MB, time=126.19 t[1] = 2.1 x2[1] (analytic) = 1.0133740031366609229020699411436 x2[1] (numeric) = 1.0135301442799706458582791738663 absolute error = 0.00015614114330972295620923272269162 relative error = 0.015408047061245380783085819853452 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002204215708553674383935652769 x1[1] (numeric) = 2.0000714431890012689827695920634 absolute error = 0.00014897838185409845562397321354241 relative error = 0.0074480982319488371574229210686976 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.427e+04 Order of pole = 2.174e+08 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.9MB, time=126.36 t[1] = 2.101 x2[1] (analytic) = 1.0134006676428354930606544663537 x2[1] (numeric) = 1.0135575269604572744057822519692 absolute error = 0.00015685931762178134512778561556126 relative error = 0.015478509402074430733971550587923 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002202012594585697525585749826 x1[1] (numeric) = 2.0000707109975790407410827794067 absolute error = 0.00014949026187952901147579557589127 relative error = 0.0074736902359750681111033356789379 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.431e+04 Order of pole = 2.176e+08 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.9MB, time=126.54 t[1] = 2.102 x2[1] (analytic) = 1.0134273856415978265158970032382 x2[1] (numeric) = 1.0135849655610426117507893286384 absolute error = 0.00015757991944478523489232540019732 relative error = 0.015549206749038251255666710899759 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002199811682630498753989037978 x1[1] (numeric) = 2.0000699780735991724976223758485 absolute error = 0.00015000309466387737777652794925455 relative error = 0.0074993298775200454616594345296958 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.434e+04 Order of pole = 2.179e+08 TOP MAIN SOLVE Loop memory used=2761.9MB, alloc=4.9MB, time=126.71 memory used=2765.7MB, alloc=4.9MB, time=126.89 t[1] = 2.103 x2[1] (analytic) = 1.0134541572399299995847467498114 x2[1] (numeric) = 1.0136124601947792561030951925432 absolute error = 0.00015830295484925651834844273180599 relative error = 0.015620139669699841914388145211706 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002197612970487165930537409915 x1[1] (numeric) = 2.0000692444163287402114431375702 absolute error = 0.00015051688071997638161060342126403 relative error = 0.0075250171822306786342853461246917 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.437e+04 Order of pole = 2.181e+08 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.9MB, time=127.06 t[1] = 2.104 x2[1] (analytic) = 1.0134809825450283769443383343367 x2[1] (numeric) = 1.0136400109749472381613466521535 absolute error = 0.00015902842991886121700831781676799 relative error = 0.015691308732751250748272891732714 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002195416455956986728672024134 x1[1] (numeric) = 2.0000685100250340865509746704853 absolute error = 0.00015103162056161212189253192809568 relative error = 0.0075507521758015257100275147330389 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.440e+04 Order of pole = 2.183e+08 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.9MB, time=127.24 t[1] = 2.105 x2[1] (analytic) = 1.0135078616643040405275291145056 x2[1] (numeric) = 1.0136676180150544775347757380627 absolute error = 0.00015975635075043700724662355714367 relative error = 0.015762714508015508907143789719533 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002193222136843446435170795153 x1[1] (numeric) = 2.0000677748989808201603640375308 absolute error = 0.00015154731470352448315304198448929 relative error = 0.0075765348839748191493339116464665 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.443e+04 Order of pole = 2.185e+08 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.9MB, time=127.42 t[1] = 2.106 x2[1] (analytic) = 1.0135347947053832192771959050837 x2[1] (numeric) = 1.0136952814288372400797919621514 absolute error = 0.00016048672345402080259605706771822 relative error = 0.015834357566448567471871114444961 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002191030010952225753633497248 x1[1] (numeric) = 2.0000670390374338149250843416153 absolute error = 0.00015206396366140765027900810946876 relative error = 0.007602365332540491563219738383362 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.447e+04 Order of pole = 2.187e+08 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.9MB, time=127.59 t[1] = 2.107 x2[1] (analytic) = 1.0135617817761077197610102616107 x2[1] (numeric) = 1.0137230013302605961532662853322 absolute error = 0.00016121955415287639225602372145271 relative error = 0.015906238480141236450987608439076 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002188840076091198610162285189 x1[1] (numeric) = 2.0000663024396572092368085498312 absolute error = 0.0001525815679519106242076786877335 relative error = 0.0076282435473362015320755085889558 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.450e+04 Order of pole = 2.190e+08 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.9MB, time=127.77 memory used=2788.6MB, alloc=4.9MB, time=127.94 t[1] = 2.108 x2[1] (analytic) = 1.0135888229845353576484148895454 x2[1] (numeric) = 1.0137507778335188797843431156935 absolute error = 0.00016195484898352213592822614807805 relative error = 0.015978357822321125952185507998183 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000218665233007042996123543767 x1[1] (numeric) = 2.000065565104914405257547823806 absolute error = 0.00015310012809263773857571996099164 relative error = 0.0076541695542473594721434427926802 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.453e+04 Order of pole = 2.192e+08 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.9MB, time=128.12 t[1] = 2.109 x2[1] (analytic) = 1.0136159184389403900515271969431 x2[1] (numeric) = 1.0137786110530361487666203362807 absolute error = 0.00016269261409575871509313933764913 relative error = 0.016050716167354589526295261433451 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002184466770702173603772131291 x1[1] (numeric) = 2.0000648270324680681830536203308 absolute error = 0.00015361964460214917732359279832218 relative error = 0.007680143379207153549688157621834 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.456e+04 Order of pole = 2.194e+08 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.9MB, time=128.29 t[1] = 2.11 x2[1] (analytic) = 1.0136430682478139487316994643526 x2[1] (numeric) = 1.0138065011034666456725410465397 absolute error = 0.00016343285565269694084158218708257 relative error = 0.016123314090748669681316599616891 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002182283395800869987386055161 x1[1] (numeric) = 2.0000640882215801255054828256661 absolute error = 0.00015414011799996149325577984998596 relative error = 0.0077061650481965756428876785352271 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.460e+04 Order of pole = 2.196e+08 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.9MB, time=128.47 t[1] = 2.111 x2[1] (analytic) = 1.0136702725198644741734685681388 x2[1] (numeric) = 1.0138344480996952597918443936128 absolute error = 0.00016417557983078561837582547395464 relative error = 0.01619615216915304556404344963534 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002180102203183144028825678389 x1[1] (numeric) = 2.0000633486715117662753251861939 absolute error = 0.00015466154880654812755738164495582 relative error = 0.0077322345872444473514708526315101 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.463e+04 Order of pole = 2.198e+08 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.9MB, time=128.64 t[1] = 2.112 x2[1] (analytic) = 1.0136975313640181505276316628867 x2[1] (numeric) = 1.0138624521568379899959265692358 absolute error = 0.00016492079281983946829490634905778 relative error = 0.016269230980361982806794878341338 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002177923190667802928598984877 x1[1] (numeric) = 2.0000626083815234403625922973389 absolute error = 0.00015518393754333993026760114880535 relative error = 0.0077583520224274460541272856044572 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.466e+04 Order of pole = 2.201e+08 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.9MB, time=128.82 memory used=2811.4MB, alloc=4.9MB, time=129.00 t[1] = 2.113 x2[1] (analytic) = 1.0137248448894193414251877049372 x2[1] (numeric) = 1.0138905133902424085299667549455 absolute error = 0.0001656685008230671047790500083283 relative error = 0.016342551103316285536734813850277 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002175746356075833989780492067 x1[1] (numeric) = 2.0000618673508748577172674119513 absolute error = 0.00015570728473272568171063725548412 relative error = 0.0077845173798701310137159744616134 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.469e+04 Order of pole = 2.203e+08 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.9MB, time=129.17 t[1] = 2.114 x2[1] (analytic) = 1.0137522132054310266638881824633 x2[1] (numeric) = 1.0139186319154881257346765127 absolute error = 0.00016641871005709907078833023669087 relative error = 0.016416113118105250545233719132214 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002173571697230402438998372431 x1[1] (numeric) = 2.0000611255788249876290153285992 absolute error = 0.00015623159089805261488450864391643 relative error = 0.0078107306857449695302988551934907 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.473e+04 Order of pole = 2.205e+08 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.9MB, time=129.34 t[1] = 2.115 x2[1] (analytic) = 1.0137796364216352397691439078209 x2[1] (numeric) = 1.0139468078483872556995348398329 absolute error = 0.00016717142675201593039093201204347 relative error = 0.016489917605968623614695682339553 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002171399211956849249599498693 x1[1] (numeric) = 2.000060383064632057986151619481 absolute error = 0.00015675685656362693880833038829078 relative error = 0.0078369919662723631420255321779413 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.476e+04 Order of pole = 2.207e+08 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.9MB, time=129.52 t[1] = 2.116 x2[1] (analytic) = 1.013807114647833506431038225228 x2[1] (numeric) = 1.0139750413049848828493748365459 absolute error = 0.00016792665715137641833661131796035 relative error = 0.016563965149298558000244542952873 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002169228898082688966990235957 x1[1] (numeric) = 2.0000596398075535545338704569263 absolute error = 0.00015728308225471436282856666936059 relative error = 0.0078633012477206738738955037285027 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.479e+04 Order of pole = 2.209e+08 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.9MB, time=129.69 t[1] = 2.117 x2[1] (analytic) = 1.0138346479940472838192004911411 x2[1] (numeric) = 1.0140033324015595294661916708808 absolute error = 0.00016868440751224564699117973965116 relative error = 0.016638256331641575063632690770192 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000216706075343760753615080607 x1[1] (numeric) = 2.000058895806846220131730296714 absolute error = 0.00015781026849754062188478389305217 relative error = 0.0078896585564062505344242458464418 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.482e+04 Order of pole = 2.212e+08 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.9MB, time=129.87 memory used=2834.3MB, alloc=4.9MB, time=130.04 t[1] = 2.118 x2[1] (analytic) = 1.0138622365705184007772971960351 x2[1] (numeric) = 1.0140316812546236241480452703453 absolute error = 0.00016944468410522337074807431021379 relative error = 0.016712791737700527056706055762587 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002164894775853460131321051748 x1[1] (numeric) = 2.0000581510617660540103966756927 absolute error = 0.00015833841581929200273542948217728 relative error = 0.0079160639186934550602395639139725 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.485e+04 Order of pole = 2.214e+08 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.9MB, time=130.22 t[1] = 2.119 x2[1] (analytic) = 1.0138898804877094988989016146508 x2[1] (numeric) = 1.014060087980923971206934921085 absolute error = 0.00017020749321447230803330643419376 relative error = 0.016787571953336562051728550423209 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002162730963164268987855430133 x1[1] (numeric) = 2.0000574055715683110276413804462 absolute error = 0.00015886752474811587114416256707249 relative error = 0.0079425173609946889086346697707289 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.489e+04 Order of pole = 2.216e+08 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.9MB, time=130.39 t[1] = 2.12 x2[1] (analytic) = 1.013917579856304474486506397187 x2[1] (numeric) = 1.0140885526974422210075267147309 absolute error = 0.00017097284113774652102031754384891 relative error = 0.016862597565571091015838831998519 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002160569313206221236245067648 x1[1] (numeric) = 2.0000566593355075009235972430033 absolute error = 0.0001593975958131212000272637615403 relative error = 0.007969018909770419498104489347092 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.492e+04 Order of pole = 2.218e+08 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.9MB, time=130.57 t[1] = 2.121 x2[1] (analytic) = 1.0139453347872089213954470463743 x2[1] (numeric) = 1.0141170755213953412486185498156 absolute error = 0.00017174073418641985317150344125497 relative error = 0.016937869162587757026881719459971 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002158409823817666738304710175 x1[1] (numeric) = 2.0000559123528373875752678188459 absolute error = 0.00015992862954437909856265217154563 relative error = 0.0079955685915292066968917537864356 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.495e+04 Order of pole = 2.220e+08 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.9MB, time=130.75 t[1] = 2.122 x2[1] (analytic) = 1.0139731453915505747645077649052 x2[1] (numeric) = 1.0141456565702360891892311689526 absolute error = 0.00017251117868551442472340404741541 relative error = 0.017013387333734406627825928800991 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002156252492839115925522404728 x1[1] (numeric) = 2.0000551646228109882502912017271 absolute error = 0.00016046062647292334226103874572882 relative error = 0.0080221664328277293595694747738318 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.498e+04 Order of pole = 2.223e+08 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.9MB, time=130.92 memory used=2857.2MB, alloc=4.9MB, time=131.10 t[1] = 2.123 x2[1] (analytic) = 1.0140010117806797556349847043193 x2[1] (numeric) = 1.0141742959616534848212174948381 absolute error = 0.00017328418097372918623279051879993 relative error = 0.017089152669525063316948979776147 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002154097318113237639569750987 x1[1] (numeric) = 2.0000544161446805728599572290598 absolute error = 0.00016099358713075090399974603893271 relative error = 0.008048812460270811911686452601271 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.502e+04 Order of pole = 2.225e+08 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.9MB, time=131.27 t[1] = 2.124 x2[1] (analytic) = 1.0140289340661698164599852001633 x2[1] (numeric) = 1.0142029938135732849902863175664 absolute error = 0.00017405974740346853030111740317551 relative error = 0.017165165761641903170939177084799 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002151944297484856974970563189 x1[1] (numeric) = 2.0000536669176976632114773308963 absolute error = 0.00016152751205082248601972542260769 relative error = 0.0080755067005114509825025133390702 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.505e+04 Order of pole = 2.227e+08 TOP MAIN SOLVE Loop memory used=2864.9MB, alloc=4.9MB, time=131.44 t[1] = 2.125 x2[1] (analytic) = 1.0140569123598175875057451390833 x2[1] (numeric) = 1.0142317502441584584673401827745 absolute error = 0.00017483788434087096159504369115738 relative error = 0.017241427202937232598033478786753 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002149793428800953123925785057 x1[1] (numeric) = 2.0000529169411130322595062747665 absolute error = 0.00016206240176706305288630373915645 relative error = 0.008102249180250842085840219349896 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.508e+04 Order of pole = 2.229e+08 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.9MB, time=131.62 t[1] = 2.126 x2[1] (analytic) = 1.0140849467736438241467501714734 x2[1] (numeric) = 1.0142605653718096619720311347519 absolute error = 0.00017561859816583782528096327854314 relative error = 0.01731793758743546821827883396878 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002147644709910657223292502578 x1[1] (numeric) = 2.0000521662141767033569150578968 absolute error = 0.00016259825681436236541419236100934 relative error = 0.0081290399262384063490798452757757 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.511e+04 Order of pole = 2.232e+08 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.9MB, time=131.79 t[1] = 2.127 x2[1] (analytic) = 1.0141130374198936550564500584119 x2[1] (numeric) = 1.0142894393151657171504417809 absolute error = 0.00017640189527206209399172248815221 relative error = 0.017394697510335118867973199903132 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002145498138665250203714901627 x1[1] (numeric) = 2.0000514147361379495048141975832 absolute error = 0.00016313507772857551555729257948396 relative error = 0.0081558789652718172903244595496519 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.515e+04 Order of pole = 2.234e+08 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.9MB, time=131.97 memory used=2880.1MB, alloc=4.9MB, time=132.14 t[1] = 2.128 x2[1] (analytic) = 1.014141184411037031295359023885 x2[1] (numeric) = 1.0143183721931040885088029637945 absolute error = 0.00017718778206705721344393990952587 relative error = 0.017471707568010769725310935696878 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002143353712918160640905019545 x1[1] (numeric) = 2.0000506625062452926018266697412 absolute error = 0.00016367286504652346226383221327894 relative error = 0.0081827663241970276437619994314989 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.518e+04 Order of pole = 2.236e+08 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.9MB, time=132.31 t[1] = 2.129 x2[1] (analytic) = 1.0141693878597691762983385727328 x2[1] (numeric) = 1.0143473641247413623051631546342 absolute error = 0.000177976264972186006824581901405 relative error = 0.01754896835801506855422561426732 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002141211430524962609071141975 x1[1] (numeric) = 2.0000499095237465026926097449057 absolute error = 0.00016421161930599356829736929178317 relative error = 0.0082097020299082962332512755448138 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.521e+04 Order of pole = 2.238e+08 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.9MB, time=132.49 t[1] = 2.13 x2[1] (analytic) = 1.0141976478790110367628628313787 x2[1] (numeric) = 1.0143764152294337264009285170451 absolute error = 0.00017876735042268963806568566634889 relative error = 0.017626480479080714063391496936587 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002139071289343373536491698366 x1[1] (numeric) = 2.0000491557878885972156249702023 absolute error = 0.00016475134104574013802419963424886 relative error = 0.0082366861093482148941588898924691 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.524e+04 Order of pole = 2.240e+08 TOP MAIN SOLVE Loop memory used=2891.6MB, alloc=4.9MB, time=132.66 t[1] = 2.131 x2[1] (analytic) = 1.014225964581909734440070072225 x2[1] (numeric) = 1.0144055256267774510741964330751 absolute error = 0.00017956104486771663412636085014681 relative error = 0.017704244531122446377312974559514 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002136933287233252063232511728 x1[1] (numeric) = 2.0000484012979178402501555450605 absolute error = 0.00016529203080548495616770611228091 relative error = 0.0082637185895077354434740993615062 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.528e+04 Order of pole = 2.243e+08 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.9MB, time=132.84 t[1] = 2.132 x2[1] (analytic) = 1.0142543380818390188304076936379 x2[1] (numeric) = 1.0144346954366093707968091337797 absolute error = 0.00018035735477035196640144014176407 relative error = 0.017782261115239039616399195424062 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002134797422056595901005260353 x1[1] (numeric) = 2.0000476460530797417625703376852 absolute error = 0.00016583368912591782753018835003667 relative error = 0.0082907994974261966982287047845206 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.531e+04 Order of pole = 2.245e+08 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.9MB, time=133.01 memory used=2903.0MB, alloc=4.9MB, time=133.19 t[1] = 2.133 x2[1] (analytic) = 1.0142827684923997207856815457134 x2[1] (numeric) = 1.0144639247790073669770579350668 absolute error = 0.0001811562866076461913763893534178 relative error = 0.017860530833715296582888872732928 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002132663691677539695165011359 x1[1] (numeric) = 2.0000468900526190568518337885519 absolute error = 0.00016637631654869711768271258401079 relative error = 0.0083179288601913515422490937108724 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.534e+04 Order of pole = 2.247e+08 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.9MB, time=133.37 t[1] = 2.134 x2[1] (analytic) = 1.014311255927420207019324117524 x2[1] (numeric) = 1.0144932137742908516699724454699 absolute error = 0.00018195784687064465064832794595813 relative error = 0.017939054290024045549457892827965 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002130532093962352888844688057 x1[1] (numeric) = 2.0000461332957797849942609464334 absolute error = 0.00016691991361645029462352237230013 relative error = 0.0083451067049393940412676131541103 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.538e+04 Order of pole = 2.249e+08 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.9MB, time=133.54 t[1] = 2.135 x2[1] (analytic) = 1.0143398005009568355266997343211 x2[1] (numeric) = 1.0145225625430212522571329862541 absolute error = 0.00018276204206441673043325193300302 relative error = 0.018017832088828139147309828994089 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002128402626779437589224335275 x1[1] (numeric) = 2.0000453757818051692875168817157 absolute error = 0.00016746448087277447140555181180441 relative error = 0.0083723330588549866064204967227613 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.541e+04 Order of pole = 2.252e+08 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.9MB, time=133.72 t[1] = 2.136 x2[1] (analytic) = 1.0143684023272944119172685532059 x2[1] (numeric) = 1.0145519712060024970979483457551 absolute error = 0.00018356887870808518067979254920743 relative error = 0.018096864835982455350516804214094 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.00021262752879993264359330489 x1[1] (numeric) = 2.000044617509937695693859720999 absolute error = 0.00016801001886223694973358389092134 relative error = 0.0083996079491712872061596187100648 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.544e+04 Order of pole = 2.254e+08 TOP MAIN SOLVE Loop memory used=2918.3MB, alloc=4.9MB, time=133.89 t[1] = 2.137 x2[1] (analytic) = 1.0143970615209466466604347931132 x2[1] (numeric) = 1.0145814398842815021543448791178 absolute error = 0.00018437836333485549391008600460897 relative error = 0.018176153138535900553345339177199 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002124150075494680471581438055 x1[1] (numeric) = 2.0000438584794190922826265462305 absolute error = 0.00016855652813037576453159757493951 relative error = 0.0084269314031699766266053959143625 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.547e+04 Order of pole = 2.256e+08 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.9MB, time=134.07 memory used=2925.9MB, alloc=4.9MB, time=134.24 t[1] = 2.138 x2[1] (analytic) = 1.0144257781966566132469082895854 x2[1] (numeric) = 1.0146109686991486585908168616546 absolute error = 0.00018519050249204534390857206915381 relative error = 0.018255697604733414737268868708157 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002122026987140287014422490432 x1[1] (numeric) = 2.0000430986894903284719614008517 absolute error = 0.00016910400922370022948084819152184 relative error = 0.0084543034481812857803682061857446 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.551e+04 Order of pole = 2.258e+08 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.9MB, time=134.42 t[1] = 2.139 x2[1] (analytic) = 1.0144545524693972072674121267592 x2[1] (numeric) = 1.0146405577721383213517919088994 absolute error = 0.00018600530274111408437978214024182 relative error = 0.01833549884401797872433551011571 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002119906020813057533138713441 x1[1] (numeric) = 2.0000423381393916142697846446897 absolute error = 0.0001696524626896914835292266544052 relative error = 0.0084817241115840230638657409462421 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.554e+04 Order of pole = 2.261e+08 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.9MB, time=134.59 t[1] = 2.14 x2[1] (analytic) = 1.0144833844543716064105727682695 x2[1] (numeric) = 1.0146702072250292987182691891119 absolute error = 0.00018682277065769230769642084241375 relative error = 0.01841555746703262351352642029342 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002117787174392025523753425972 x1[1] (numeric) = 2.0000415768283623995140028985625 absolute error = 0.0001702018890768030383724440347211 relative error = 0.0085091934208056017631637572103988 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.557e+04 Order of pole = 2.263e+08 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.9MB, time=134.77 t[1] = 2.141 x2[1] (analytic) = 1.0145122742670137313818327853984 x2[1] (numeric) = 1.0146999171798453428456920744915 absolute error = 0.00018764291283161146385928909311269 relative error = 0.018495874085622441696706684276163 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002115670445758344388664077668 x1[1] (numeric) = 2.0000408147556413731119588188056 absolute error = 0.00017075228893446132690758896116759 relative error = 0.0085367114033220675083677429404902 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.560e+04 Order of pole = 2.265e+08 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.9MB, time=134.94 t[1] = 2.142 x2[1] (analytic) = 1.014541222022988707745229964783 x2[1] (numeric) = 1.0147296877588556412850208057258 absolute error = 0.00018846573586693353979084094276654 relative error = 0.018576449312836600950737135894634 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002113555832795285317795474752 x1[1] (numeric) = 2.0000400519204664622791199411726 absolute error = 0.00017130366281306625265960630263549 relative error = 0.0085642780866581257765930579060424 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.564e+04 Order of pole = 2.268e+08 TOP MAIN SOLVE Loop memory used=2945.0MB, alloc=4.9MB, time=135.12 memory used=2948.8MB, alloc=4.9MB, time=135.29 t[1] = 2.143 x2[1] (analytic) = 1.0145702278381933286898902693567 x2[1] (numeric) = 1.0147595190845753094889746807189 absolute error = 0.00018929124638198079908441136223819 relative error = 0.018657283762930359602281820710153 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002111443333388235171870793561 x1[1] (numeric) = 2.0000392883220748317770058327962 absolute error = 0.00017185601126399174018124655981344 relative error = 0.0085918934983871694435411605806767 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.567e+04 Order of pole = 2.270e+08 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.9MB, time=135.47 t[1] = 2.144 x2[1] (analytic) = 1.0145992918287565187230858249496 x2[1] (numeric) = 1.0147894112797658843054172224566 absolute error = 0.0001901194510093655823313975069594 relative error = 0.018738378051367084261811972084079 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002109332945424694367798265047 x1[1] (numeric) = 2.0000385239597028831503527901389 absolute error = 0.00017240933483958628642703636576692 relative error = 0.0086195576661313063837095800007204 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.570e+04 Order of pole = 2.272e+08 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.9MB, time=135.65 t[1] = 2.145 x2[1] (analytic) = 1.0146284141110397982917128111287 x2[1] (numeric) = 1.0148193644674358184598617329645 absolute error = 0.00019095035639602016814892183578669 relative error = 0.018819732794820269523273382570806 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002107224666794274766171415647 x1[1] (numeric) = 2.0000377588325862539635153200952 absolute error = 0.00017296363409317351310182146950789 relative error = 0.0086472706175613871192633399295255 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.574e+04 Order of pole = 2.274e+08 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.9MB, time=135.82 t[1] = 2.146 x2[1] (analytic) = 1.0146575948016377493340478484339 x2[1] (numeric) = 1.0148493787708409760290786002386 absolute error = 0.00019178396920322669503075180478139 relative error = 0.018901348611175559725849914350153 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000210511849538869756088075201 x1[1] (numeric) = 2.0000369929399598170361036406499 absolute error = 0.00017351890957905271998443455114386 relative error = 0.008675032380397032517595591119074 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.577e+04 Order of pole = 2.277e+08 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.9MB, time=136.00 t[1] = 2.147 x2[1] (analytic) = 1.0146868340173784817636451951758 x2[1] (numeric) = 1.0148794543134851289077896928685 absolute error = 0.00019262029610664714414449769270889 relative error = 0.018983226119532772774221603663026 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002103014429101791170834779198 x1[1] (numeric) = 2.0000362262810576796778564367274 absolute error = 0.0001740751618524994392270411923204 relative error = 0.0087028429824066615376052559362642 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.580e+04 Order of pole = 2.279e+08 TOP MAIN SOLVE Loop memory used=2967.9MB, alloc=4.9MB, time=136.17 memory used=2971.7MB, alloc=4.9MB, time=136.35 t[1] = 2.148 x2[1] (analytic) = 1.01471613187532410088724079542 x2[1] (numeric) = 1.014909591219120454270439152867 absolute error = 0.00019345934379635338319835744706576 relative error = 0.019065365940207926013681374711507 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002100912465829489133788244076 x1[1] (numeric) = 2.0000354588551131829227481061062 absolute error = 0.00017463239146976599063071830134933 relative error = 0.0087307024514075190247195381253244 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.583e+04 Order of pole = 2.281e+08 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.9MB, time=136.52 t[1] = 2.149 x2[1] (analytic) = 1.0147454884927711757585329557054 x2[1] (numeric) = 1.0149397896117480330300338809733 absolute error = 0.00019430111897685727150092526787022 relative error = 0.019147768694735264156439787758422 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002098812603469828002275497734 x1[1] (numeric) = 2.0000346906613589007623297295047 absolute error = 0.00017519059898808203789782026864713 relative error = 0.0087586108152657035546891990101231 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.587e+04 Order of pole = 2.283e+08 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.9MB, time=136.69 t[1] = 2.15 x2[1] (analytic) = 1.0147749039872512084697131714484 x2[1] (numeric) = 1.0149700496156183492960510004207 absolute error = 0.00019514562836714082633782897228698 relative error = 0.019230435005869289255412503738528 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002096714839922945241646872855 x1[1] (numeric) = 2.0000339216990266393783029981806 absolute error = 0.00017574978496565514586168910489615 relative error = 0.0087865681018961953261845500007981 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.590e+04 Order of pole = 2.286e+08 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.9MB, time=136.87 t[1] = 2.151 x2[1] (analytic) = 1.0148043784765311043826243748783 x2[1] (numeric) = 1.0150003713552317908334135848857 absolute error = 0.00019599287870068645078921000739736 relative error = 0.019313365497586792721750253099432 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002094619173091077130205974077 x1[1] (numeric) = 2.000033151967347436374326331616 absolute error = 0.00017630994996167133869426579168531 relative error = 0.0088145743392628841022201598581498 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.593e+04 Order of pole = 2.288e+08 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.9MB, time=137.04 t[1] = 2.152 x2[1] (analytic) = 1.014833912078613643301427634759 x2[1] (numeric) = 1.015030754955339150524539944061 absolute error = 0.00019684287672550722311230930207013 relative error = 0.019396560795088889382336049350429 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002092525600878556661445781481 x1[1] (numeric) = 2.0000323814655515600070524170958 absolute error = 0.00017687109453629565909216105228795 relative error = 0.0088426295553785972004363237866905 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.597e+04 Order of pole = 2.290e+08 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.9MB, time=137.22 memory used=2994.6MB, alloc=4.9MB, time=137.40 t[1] = 2.153 x2[1] (analytic) = 1.0148635049117379515886621040791 x2[1] (numeric) = 1.015061200540942128836475776052 absolute error = 0.00019769562920417724781367197293756 relative error = 0.019480021524803053573439187435662 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002090434121191811448381469448 x1[1] (numeric) = 2.0000316101928685084163964022162 absolute error = 0.00017743321925067272844174472869431 relative error = 0.0088707337783051275322653900731526 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.600e+04 Order of pole = 2.293e+08 TOP MAIN SOLVE Loop memory used=2998.4MB, alloc=4.9MB, time=137.57 t[1] = 2.154 x2[1] (analytic) = 1.0148931570943799752265867853632 x2[1] (numeric) = 1.0150917082372938372951225195881 absolute error = 0.00019855114291386206853573422493772 relative error = 0.019563748314385157266680213088047 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000208834473193936162997784521 x1[1] (numeric) = 2.000030838148527008855033970591 absolute error = 0.00017799632466692730796381393003474 relative error = 0.0088988870361532616910110886616907 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.603e+04 Order of pole = 2.295e+08 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.9MB, time=137.75 t[1] = 2.155 x2[1] (analytic) = 1.0149228687452529538256964642814 x2[1] (numeric) = 1.0151222781698993029685792708962 absolute error = 0.00019940942464634914288280661475359 relative error = 0.019647741792721510223425541284943 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000208625743103181777966931352 x1[1] (numeric) = 2.0000300653317550169171285302549 absolute error = 0.00017856041134816486083840109710849 relative error = 0.0089270893570828080888690547600067 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.607e+04 Order of pole = 2.297e+08 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.9MB, time=137.92 t[1] = 2.156 x2[1] (analytic) = 1.0149526399833078955823079508261 x2[1] (numeric) = 1.0151529104645159739616196700028 absolute error = 0.00020027048120807837931171917676803 relative error = 0.019732002589930902173694739337585 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002084172216381878815970275978 x1[1] (numeric) = 2.0000292917417797157662867434899 absolute error = 0.00017912547985847211531028410787293 relative error = 0.008955340769302625142916789302229 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.610e+04 Order of pole = 2.299e+08 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.9MB, time=138.10 t[1] = 2.157 x2[1] (analytic) = 1.0149824709277340531871165635042 x2[1] (numeric) = 1.0151836052471542259233292092511 absolute error = 0.0002011343194201727362126457468709 relative error = 0.019816531337366647015627672525062 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002082089085904329915173875596 x1[1] (numeric) = 2.0000285173778275153627416260302 absolute error = 0.0001796915307629176287757615294504 relative error = 0.0089836413010706495101013468546499 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.613e+04 Order of pole = 2.302e+08 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.9MB, time=138.27 memory used=3017.4MB, alloc=4.9MB, time=138.45 t[1] = 2.158 x2[1] (analytic) = 1.0150123616979594006866265957712 x2[1] (numeric) = 1.0152143626440778695699324729318 absolute error = 0.00020200094611846888330587716061059 relative error = 0.019901328667618629031522737050711 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000208000803751604042613699933 x1[1] (numeric) = 2.0000277422391240516897624428296 absolute error = 0.00018025856462755235285125710347475 relative error = 0.0090119909806939243712530903393922 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.616e+04 Order of pole = 2.304e+08 TOP MAIN SOLVE Loop memory used=3021.3MB, alloc=4.9MB, time=138.63 t[1] = 2.159 x2[1] (analytic) = 1.015042312413651111299363315323 x2[1] (numeric) = 1.0152451827818046592248438811728 absolute error = 0.000202870368153547925480565849791 relative error = 0.019986395214515351116421275973829 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002077929069135961787149453338 x1[1] (numeric) = 2.0000269663248941859792906268004 absolute error = 0.00018082658201941019942431853342933 relative error = 0.0090403898365286277641539007688093 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.620e+04 Order of pole = 2.306e+08 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.9MB, time=138.80 t[1] = 2.16 x2[1] (analytic) = 1.0150723231947160361887778658907 x2[1] (numeric) = 1.0152760657871068023779795836074 absolute error = 0.00020374259239076618920171771669036 relative error = 0.020071731613125985015176988171736 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002075852178685125444885227851 x1[1] (numeric) = 2.0000261896343620039368009461601 absolute error = 0.00018139558350650860768757662502224 relative error = 0.0090688378969801009656882790299563 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.623e+04 Order of pole = 2.309e+08 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.9MB, time=138.98 t[1] = 2.161 x2[1] (analytic) = 1.0151023941613011841947602678461 x2[1] (numeric) = 1.0153070117870114702663722288748 absolute error = 0.0002046176257102860716119610286381 relative error = 0.02015733849976242356391269783466 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002073777364086640775433770599 x1[1] (numeric) = 2.0000254121667508149653871452463 absolute error = 0.00018196556965784911215623181360529 relative error = 0.0090973351905028769231058256338542 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.626e+04 Order of pole = 2.311e+08 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.9MB, time=139.15 t[1] = 2.162 x2[1] (analytic) = 1.0151325254337942025256795482586 x2[1] (numeric) = 1.0153380209088013094781344247074 absolute error = 0.0002054954750071069524548764487492 relative error = 0.020243216511981334931730252006254 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002071704623265693007409189827 x1[1] (numeric) = 2.0000246339212831513890712828865 absolute error = 0.00018253654104341791166963609617062 relative error = 0.0091258817456007087344236332485541 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.630e+04 Order of pole = 2.313e+08 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.9MB, time=139.33 memory used=3040.3MB, alloc=4.9MB, time=139.50 t[1] = 2.163 x2[1] (analytic) = 1.0151627171328238584128738730507 x2[1] (numeric) = 1.0153690932800149545818208002529 absolute error = 0.00020637614719109616894692720220236 relative error = 0.020329366288586218858502555772626 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002069633954149541147135310007 x1[1] (numeric) = 2.0000238548971807676753359916312 absolute error = 0.00018310849823418643937753936955412 relative error = 0.0091544775908265981779971757682419 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.633e+04 Order of pole = 2.316e+08 TOP MAIN SOLVE Loop memory used=3044.1MB, alloc=4.9MB, time=139.68 t[1] = 2.164 x2[1] (analytic) = 1.0151929693792605217295174035939 x2[1] (numeric) = 1.0154002290284475417832426873665 absolute error = 0.00020725964918702005372528377258337 relative error = 0.020415788469629464884539838388685 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002067565354667515905904505434 x1[1] (numeric) = 2.0000230750936646396568788803823 absolute error = 0.00018368144180211193371157016113971 relative error = 0.0091831227547828242912883266328534 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.636e+04 Order of pole = 2.318e+08 TOP MAIN SOLVE Loop memory used=3048.0MB, alloc=4.9MB, time=139.85 t[1] = 2.165 x2[1] (analytic) = 1.0152232822942166485757944574948 x2[1] (numeric) = 1.0154314282821512236117935509254 absolute error = 0.00020814598793457503599909343052226 relative error = 0.020502483696414412567885168427747 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002065498822751017629308238963 x1[1] (numeric) = 2.0000222945099549637525883021727 absolute error = 0.00018425537232013801034252172359264 relative error = 0.0092118172661209719988591881039427 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.640e+04 Order of pole = 2.320e+08 TOP MAIN SOLVE Loop memory used=3051.8MB, alloc=4.9MB, time=140.03 t[1] = 2.166 x2[1] (analytic) = 1.0152536559990472658323154184448 x2[1] (numeric) = 1.015462691169435684638347419763 absolute error = 0.00020903517038841880603200131816 relative error = 0.020589452611497413684957001463423 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002063434356333514228637235214 x1[1] (numeric) = 2.0000215131452711561877397080705 absolute error = 0.00018483029036219523512401545095567 relative error = 0.0092405611535419607896204622229117 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.643e+04 Order of pole = 2.323e+08 TOP MAIN SOLVE Loop memory used=3055.6MB, alloc=4.9MB, time=140.20 t[1] = 2.167 x2[1] (analytic) = 1.0152840906153504566837127128738 x2[1] (numeric) = 1.0154940178188686582267966996227 absolute error = 0.00020992720351820154308398674891683 relative error = 0.020676695858689896410219149355774 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002061371953350539114349219658 x1[1] (numeric) = 2.000020730998831852213411807406 absolute error = 0.00018540619650320169802311455981918 relative error = 0.0092693544457960734433631432272168 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.646e+04 Order of pole = 2.325e+08 TOP MAIN SOLVE Loop memory used=3059.4MB, alloc=4.9MB, time=140.38 memory used=3063.2MB, alloc=4.9MB, time=140.56 t[1] = 2.168 x2[1] (analytic) = 1.0153145862649678471143590517659 x2[1] (numeric) = 1.0155254083592764443212998875995 absolute error = 0.00021082209430859720694083583363129 relative error = 0.02076421408306043147052100542983 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000205931161173968913160215703 x1[1] (numeric) = 2.0000199480698549053251217537368 absolute error = 0.00018598309131906358803846196622683 relative error = 0.0092981971716829848066023602788607 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.650e+04 Order of pole = 2.327e+08 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.9MB, time=140.73 t[1] = 2.169 x2[1] (analytic) = 1.0153451430699850933781540243823 x2[1] (numeric) = 1.0155568629197444282713138538947 absolute error = 0.0002117198497593348931598295124294 relative error = 0.020852007930936800269713144216426 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002057253329440622497850924621 x1[1] (numeric) = 2.0000191643575573864806785751856 absolute error = 0.00018656097538667576910651727650248 relative error = 0.009327089360051790617762248467414 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.653e+04 Order of pole = 2.330e+08 TOP MAIN SOLVE Loop memory used=3070.8MB, alloc=4.9MB, time=140.91 t[1] = 2.17 x2[1] (analytic) = 1.0153757611527323704443290268073 x2[1] (numeric) = 1.015588381629617600696489511365 absolute error = 0.00021262047688523025216048455770408 relative error = 0.020940078049908064979105537484709 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002055197104395056742505358041 x1[1] (numeric) = 2.0000183798611555833172540670058 absolute error = 0.00018713984928392235699646879828342 relative error = 0.0093560310398010363817307751870235 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.656e+04 Order of pole = 2.332e+08 TOP MAIN SOLVE Loop memory used=3074.7MB, alloc=4.9MB, time=141.08 t[1] = 2.171 x2[1] (analytic) = 1.0154064406357848614212244122061 x2[1] (numeric) = 1.0156199646185010783935138563244 absolute error = 0.00021352398271621697228944411837153 relative error = 0.021028425088826640589297589543877 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002053142934546766648647609102 x1[1] (numeric) = 2.0000175945798649993676703634435 absolute error = 0.00018771971358967729719439746671991 relative error = 0.00938502223987874629381349815342 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.660e+04 Order of pole = 2.334e+08 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.9MB, time=141.26 t[1] = 2.172 x2[1] (analytic) = 1.015437181641963247959996661469 x2[1] (numeric) = 1.0156516120162606262869855353692 absolute error = 0.00021443037429737832698887390016544 relative error = 0.021117049697810368918870993739143 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002051090817841582196806757549 x1[1] (numeric) = 2.0000168085129003532759034051849 absolute error = 0.00018830056888380494377727057005317 relative error = 0.0094140629892824522131152805228672 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.663e+04 Order of pole = 2.337e+08 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.9MB, time=141.43 memory used=3086.1MB, alloc=4.9MB, time=141.60 t[1] = 2.173 x2[1] (analytic) = 1.0154679842943342016402172925374 x2[1] (numeric) = 1.0156833239530231804264152726596 absolute error = 0.00021533965868897878619798012217168 relative error = 0.021205952528244594575398048223388 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000204904075222738651078862041 x1[1] (numeric) = 2.0000160216594755780118015178924 absolute error = 0.00018888241574716063927734414861382 relative error = 0.0094431533170592226853790378003624 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.666e+04 Order of pole = 2.339e+08 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.9MB, time=141.78 t[1] = 2.174 x2[1] (analytic) = 1.0154988487162108763393291541689 x2[1] (numeric) = 1.015715100559177372031446680126 absolute error = 0.00021625184296649569211752595714062 relative error = 0.02129513423278424286417954196063 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002046992735654113805558704788 x1[1] (numeric) = 2.0000152340188038200850183165471 absolute error = 0.00018946525476159129553755393169137 relative error = 0.0094722932523056920153106404792359 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.670e+04 Order of pole = 2.341e+08 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.9MB, time=141.95 t[1] = 2.175 x2[1] (analytic) = 1.0155297750311534015879296852306 x2[1] (numeric) = 1.015746941965374052587397169484 absolute error = 0.00021716693422065099946748425338634 relative error = 0.021384595465355899640087631018697 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002044946766073747337176251992 x1[1] (numeric) = 2.0000144455900974387581591495315 absolute error = 0.00019004908650993597555847566771425 relative error = 0.0095014828241680893884191456386708 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.673e+04 Order of pole = 2.344e+08 TOP MAIN SOLVE Loop memory used=3097.6MB, alloc=4.9MB, time=142.13 t[1] = 2.176 x2[1] (analytic) = 1.0155607633629693769128546638144 x2[1] (numeric) = 1.0157788483025268199932228897647 absolute error = 0.00021808493955744308036822595034044 relative error = 0.02147433688115989309785027004416 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002042902841440317354777322926 x1[1] (numeric) = 2.0000136563725680052591402955978 absolute error = 0.00019063391157602647633743669474909 relative error = 0.0095307220618422680424015800396088 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.676e+04 Order of pole = 2.346e+08 TOP MAIN SOLVE Loop memory used=3101.4MB, alloc=4.9MB, time=142.30 t[1] = 2.177 x2[1] (analytic) = 1.015591813835714367170039921569 x2[1] (numeric) = 1.0158108197018125457640158273081 absolute error = 0.00021900586609817859397590573912278 relative error = 0.021564359136672377496074743889725 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002040860959709899054604876726 x1[1] (numeric) = 2.0000128663654263019927601260822 absolute error = 0.00019121973054468791270036159047941 relative error = 0.0095600109945737344881015466030759 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.680e+04 Order of pole = 2.348e+08 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.9MB, time=142.48 memory used=3109.0MB, alloc=4.9MB, time=142.65 t[1] = 2.178 x2[1] (analytic) = 1.0156229265736923988691424576546 x2[1] (numeric) = 1.0158428562946719032901454268395 absolute error = 0.0002199297209795044210029691848742 relative error = 0.02165466288964741881026865918942 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002038821118840610536083796682 x1[1] (numeric) = 2.0000120755678823217514814439347 absolute error = 0.00019180654400173930212693573355808 relative error = 0.0095893496516576777800709755282071 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.683e+04 Order of pole = 2.351e+08 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.9MB, time=142.83 t[1] = 2.179 x2[1] (analytic) = 1.0156541017014564574919063536634 x2[1] (numeric) = 1.0158749582128098971551613223836 absolute error = 0.00022085651135343966325496872012195 relative error = 0.021745248799119082310077404755733 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002036783316792610759938819498 x1[1] (numeric) = 2.0000112839791452669254242103483 absolute error = 0.00019239435253399415056967160154577 relative error = 0.0096187380624389988367643907102127 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.686e+04 Order of pole = 2.353e+08 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.9MB, time=143.00 t[1] = 2.18 x2[1] (analytic) = 1.0156853393438089858062628657252 x2[1] (numeric) = 1.0159071255881963935145780053644 absolute error = 0.00022178624438740770831513963917332 relative error = 0.02183611752540352205591757251063 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002034747551528097508353326035 x1[1] (numeric) = 2.000010491598423548711567868979 absolute error = 0.00019298315672926103926746362455057 relative error = 0.0096481762563123398103951115512606 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.690e+04 Order of pole = 2.355e+08 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.9MB, time=143.18 t[1] = 2.181 x2[1] (analytic) = 1.0157166396258023831781580528572 x2[1] (numeric) = 1.0159393585530666515376665043307 absolute error = 0.000222718927264268359508451473515 relative error = 0.021927269730101072310146146763445 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002032713821011305347166953677 x1[1] (numeric) = 2.0000096984249247863221624769595 absolute error = 0.00019357295717634421255421840817245 relative error = 0.0096776642627221135064828597198056 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.693e+04 Order of pole = 2.358e+08 TOP MAIN SOLVE Loop memory used=3124.3MB, alloc=4.9MB, time=143.35 t[1] = 2.182 x2[1] (analytic) = 1.0157480026727395058831052914223 x2[1] (numeric) = 1.0159716572399218559143824063308 absolute error = 0.00022365456718235003127711490849662 relative error = 0.022018706076098340857865418517008 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002030682123208503590109992522 x1[1] (numeric) = 2.0000089044578558061923478511178 absolute error = 0.00019416375446504416666314813443192 relative error = 0.009707202111162532853122289906313 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.696e+04 Order of pole = 2.360e+08 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.9MB, time=143.53 memory used=3131.9MB, alloc=4.9MB, time=143.70 t[1] = 2.183 x2[1] (analytic) = 1.0157794286101741684194640243634 x2[1] (numeric) = 1.0160040217815296504295638140767 absolute error = 0.00022459317135548201009978971325825 relative error = 0.022110427227570304232423562622128 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002028652456087994265072529636 x1[1] (numeric) = 2.0000081096964226411869799370186 absolute error = 0.00019475554918615823952731594502515 relative error = 0.009736789831177640420002013145664 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.700e+04 Order of pole = 2.362e+08 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.9MB, time=143.88 t[1] = 2.184 x2[1] (analytic) = 1.0158109175639116458254501006816 x2[1] (numeric) = 1.0160364523109246726065371056816 absolute error = 0.00022553474701302678108700499998977 relative error = 0.022202433849982404840630628512331 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002026624817620110082406307634 x1[1] (numeric) = 2.0000073141398305298066636076559 absolute error = 0.00019534834193148120157702310750027 relative error = 0.0097664274523613379872037308288256 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.703e+04 Order of pole = 2.365e+08 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.9MB, time=144.05 t[1] = 2.185 x2[1] (analytic) = 1.0158424696600091770018870754557 x2[1] (numeric) = 1.016068948961409089422272644962 absolute error = 0.00022647930139991242038556950625015 relative error = 0.022294726610092649982669339437537 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002024599205777212405257265895 x1[1] (numeric) = 2.0000065177872839153929910978277 absolute error = 0.00019594213329380584753462876179117 relative error = 0.0097961150043574161638111471086887 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.706e+04 Order of pole = 2.367e+08 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.9MB, time=144.23 t[1] = 2.186 x2[1] (analytic) = 1.0158740850247764690427118635631 x2[1] (numeric) = 1.0161015118665531340962368800694 absolute error = 0.00022742684177666505352501650629817 relative error = 0.022387306175953712761639570078423 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002022575618533689221926734734 x1[1] (numeric) = 2.0000057206379864453329852794315 absolute error = 0.00019653692386692358920739404197781 relative error = 0.0098258525168595840563583770173492 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.710e+04 Order of pole = 2.370e+08 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.9MB, time=144.41 t[1] = 2.187 x2[1] (analytic) = 1.0159057637847762025752521711773 x2[1] (numeric) = 1.0161341411601956439550915665826 absolute error = 0.00022837737541944137983939540526215 relative error = 0.022480173216915034877634677663281 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002020554053865953120259254907 x1[1] (numeric) = 2.0000049226911409702627469821245 absolute error = 0.00019713271424562504927894336616668 relative error = 0.0098556400196114989871476172545978 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.713e+04 Order of pole = 2.372e+08 TOP MAIN SOLVE Loop memory used=3151.0MB, alloc=4.9MB, time=144.58 memory used=3154.8MB, alloc=4.9MB, time=144.76 t[1] = 2.188 x2[1] (analytic) = 1.0159375060668245381122971681085 x2[1] (numeric) = 1.0161668369764445993753951581631 absolute error = 0.00022933090962006126309799005458006 relative error = 0.022573328403624931301206996726442 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002018534509752439264054996818 x1[1] (numeric) = 2.0000041239459495432703055629958 absolute error = 0.00019772950502570065609993668600207 relative error = 0.0098854775424067962624658962800308 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.716e+04 Order of pole = 2.374e+08 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.9MB, time=144.93 t[1] = 2.189 x2[1] (analytic) = 1.015969311997991623417986911122 x2[1] (numeric) = 1.0161995994496776638064657234716 absolute error = 0.00023028745168604038847881234954732 relative error = 0.022666772408032696821038771941111 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002016516984173603371504755862 x1[1] (numeric) = 2.0000033244016134190976719280996 absolute error = 0.00019832729680394123947854748653008 relative error = 0.0099153651150891189907307700440513 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.720e+04 Order of pole = 2.377e+08 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.9MB, time=145.11 t[1] = 2.19 x2[1] (analytic) = 1.01600118170560210188955008355 x2[1] (numeric) = 1.0162324287145427248755690722811 absolute error = 0.00023124700894062298601898873109623 relative error = 0.022760505903390714460593596528837 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002014501475111919695645502313 x1[1] (numeric) = 2.0000025240573330533420932079044 absolute error = 0.00019892609017813862747134232694285 relative error = 0.0099453027675521479505948794261443 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.723e+04 Order of pole = 2.379e+08 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.9MB, time=145.28 t[1] = 2.191 x2[1] (analytic) = 1.0160331153172356219569236797991 x2[1] (numeric) = 1.0162653249059584365776001066142 absolute error = 0.00023220958872281462067642681517783 relative error = 0.02285452956425656575848204509098 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002012487980551879006834466241 x1[1] (numeric) = 2.0000017229123081016565082879109 absolute error = 0.00019952588574708624417515871313253 relative error = 0.0099752905297396315090393352122304 % Correct digits = 4 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.727e+04 Order of pole = 2.381e+08 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.9MB, time=145.46 t[1] = 2.192 x2[1] (analytic) = 1.0160651129607273475022923347914 x2[1] (numeric) = 1.0162982881591147625514297543068 absolute error = 0.0002331751983874150491374195154065 relative error = 0.022948844066495142907233638822227 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002010476498479986577239739904 x1[1] (numeric) = 2.0000009209657374189492033948964 absolute error = 0.0002001266841105797085205790939824 relative error = 0.01000532843164541558948594623668 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.730e+04 Order of pole = 2.384e+08 TOP MAIN SOLVE Loop memory used=3173.8MB, alloc=4.9MB, time=145.64 t[1] = 2.193 memory used=3177.7MB, alloc=4.9MB, time=145.81 x2[1] (analytic) = 1.0160971747641684693015890779505 x2[1] (numeric) = 1.0163313186094735204450941926595 absolute error = 0.00023414384530505114350511470904333 relative error = 0.023043450087280762745125557449506 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002008467026884760167345382129 x1[1] (numeric) = 2.000000118216819058582666938438 absolute error = 0.00020072848586941743406759977491922 relative error = 0.010035416503313473689958356138752 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.733e+04 Order of pole = 2.386e+08 TOP MAIN SOLVE Loop memory used=3181.5MB, alloc=4.9MB, time=145.99 t[1] = 2.194 x2[1] (analytic) = 1.0161293008559067174900033790917 x2[1] (numeric) = 1.0163644163927689273720074288157 absolute error = 0.00023511553686220988200404972402397 relative error = 0.023138348305099282595676615388196 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002006459563756728014469011172 x1[1] (numeric) = 1.9999993146647502715716428065728 absolute error = 0.00020133129162540122980409454444574 relative error = 0.010065554774837936951322204037855 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.737e+04 Order of pole = 2.389e+08 TOP MAIN SOLVE Loop memory used=3185.3MB, alloc=4.9MB, time=146.16 t[1] = 2.195 x2[1] (analytic) = 1.0161614913645468750535464495084 x2[1] (numeric) = 1.0163975816450081464603826712051 absolute error = 0.00023609028046127140683622169666729 relative error = 0.023233539399750217949372949017161 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002004454107088426823289874577 x1[1] (numeric) = 1.9999985103087275057803813136455 absolute error = 0.00020193510198133690194767381216682 relative error = 0.010095743276363124275634474317168 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.740e+04 Order of pole = 2.391e+08 TOP MAIN SOLVE Loop memory used=3189.1MB, alloc=4.9MB, time=146.34 t[1] = 2.196 x2[1] (analytic) = 1.0161937464189512923487278656717 x2[1] (numeric) = 1.0164308145024718344980523028387 absolute error = 0.00023706808352054214932443716702495 relative error = 0.023329024052348861982149617140397 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002002450654874399758385386568 x1[1] (numeric) = 1.9999977051479464051190869975966 absolute error = 0.00020253991754103485675154106021877 relative error = 0.010125982038083572494632250620849 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.743e+04 Order of pole = 2.393e+08 TOP MAIN SOLVE Loop memory used=3192.9MB, alloc=4.9MB, time=146.51 t[1] = 2.197 x2[1] (analytic) = 1.0162260661482404026524016953099 x2[1] (numeric) = 1.0164641151017146906748806524526 absolute error = 0.00023804895347428802247895714264105 relative error = 0.023424802945328406905109897120704 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0002000449205111194438774125508 x1[1] (numeric) = 1.9999968991816018087395624631368 absolute error = 0.00020314573890931070431494941400831 relative error = 0.010156271090244066588391139116353 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.747e+04 Order of pole = 2.396e+08 TOP MAIN SOLVE Loop memory used=3196.7MB, alloc=4.9MB, time=146.69 t[1] = 2.198 x2[1] (analytic) = 1.016258450681793238743844426214 x2[1] (numeric) = 1.0164974835795660064249681534868 absolute error = 0.00023903289777276768112372727288079 relative error = 0.023520876762442067139921464334127 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001998449755797360934463285959 x1[1] (numeric) = 1.9999960924088877502300474664531 memory used=3200.6MB, alloc=4.9MB, time=146.87 absolute error = 0.00020375256669198586339886214276827 relative error = 0.010186610463139669954183676050312 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.750e+04 Order of pole = 2.398e+08 TOP MAIN SOLVE Loop memory used=3204.4MB, alloc=4.9MB, time=147.05 t[1] = 2.199 x2[1] (analytic) = 1.0162909001492479505211311269391 x2[1] (numeric) = 1.0165309200731302163708498836751 absolute error = 0.00024001992388226584971875673605515 relative error = 0.023617246188765204314285871996619 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001996452304933449764998581902 x1[1] (numeric) = 1.9999952848289974568092524362845 absolute error = 0.00020436040149588816724742190564072 relative error = 0.010217000187115754725568084634094 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.754e+04 Order of pole = 2.401e+08 TOP MAIN SOLVE Loop memory used=3208.2MB, alloc=4.9MB, time=147.22 t[1] = 2.2 x2[1] (analytic) = 1.016323414680502323653880405673 x2[1] (numeric) = 1.0165644247197874503718958896244 absolute error = 0.00024101003928512671801548395141395 relative error = 0.02371391191069745407183480154976 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001994456850522009900014599665 x1[1] (numeric) = 1.9999944764411233485195856254017 absolute error = 0.00020496924392885247041583456480746 relative error = 0.010247440292568032141737796333513 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.757e+04 Order of pole = 2.403e+08 TOP MAIN SOLVE Loop memory used=3212.0MB, alloc=4.9MB, time=147.40 t[1] = 2.201 x2[1] (analytic) = 1.0163559944057142992744428789128 x2[1] (numeric) = 1.0165979976571940866791251212016 absolute error = 0.00024200325147978740468224228880469 relative error = 0.02381087461596485469076343015293 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001992463390567586761783601102 x1[1] (numeric) = 1.9999936672444570374195730857166 absolute error = 0.00020557909459972125660527439360208 relative error = 0.010277930809942582967162201706391 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.760e+04 Order of pole = 2.405e+08 TOP MAIN SOLVE Loop memory used=3215.8MB, alloc=4.9MB, time=147.57 t[1] = 2.202 x2[1] (analytic) = 1.0163886394553024947096120152705 x2[1] (numeric) = 1.016631639023283306198649229832 absolute error = 0.00024299956798081148903721456150318 relative error = 0.023908134993621977505467960907307 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001990471923076720229760779576 x1[1] (numeric) = 1.999992857238189326775470659443 absolute error = 0.0002061899541183452475054185145596 relative error = 0.010308471769735887961549146031673 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.764e+04 Order of pole = 2.408e+08 TOP MAIN SOLVE Loop memory used=3219.6MB, alloc=4.9MB, time=147.75 t[1] = 2.203 x2[1] (analytic) = 1.0164213499599467252549403817172 x2[1] (numeric) = 1.0166653489562656478659669229707 absolute error = 0.00024399899631892261102654125351927 relative error = 0.024005693734054059125410882723977 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001988482446057942647123973292 x1[1] (numeric) = 1.9999920464215102102520671779192 absolute error = 0.00020680182309558401264521940998874 relative error = 0.010339063202494858400159735104754 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 memory used=3223.4MB, alloc=4.9MB, time=147.92 NO POLE for equation 2 Radius of convergence = 6.767e+04 Order of pole = 2.410e+08 TOP MAIN SOLVE Loop memory used=3227.3MB, alloc=4.9MB, time=148.10 t[1] = 2.204 x2[1] (analytic) = 1.0164541260505885269937484899008 x2[1] (numeric) = 1.0166991275946295651333340140534 absolute error = 0.00024500154404103813958552415267762 relative error = 0.024103551528979135445393869735403 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001986494957521776829305842523 x1[1] (numeric) = 1.9999912347936088711026780588964 absolute error = 0.00020741470214330658025252535589023 relative error = 0.010369705138816866644506066735532 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.770e+04 Order of pole = 2.413e+08 TOP MAIN SOLVE Loop memory used=3231.1MB, alloc=4.9MB, time=148.27 t[1] = 2.205 x2[1] (analytic) = 1.0164869678584316806629176188414 x2[1] (numeric) = 1.0167329750771419835724387631775 absolute error = 0.00024600721871030290952114433607728 relative error = 0.02420170907145017744137439432698 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000198450945548073407451651925 x1[1] (numeric) = 1.9999904223536736813583284922861 absolute error = 0.0002080285918743920491231596388925 relative error = 0.010400397609349776763462553678597 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.774e+04 Order of pole = 2.415e+08 TOP MAIN SOLVE Loop memory used=3234.9MB, alloc=4.9MB, time=148.45 t[1] = 2.206 x2[1] (analytic) = 1.0165198755149427365675621773501 x2[1] (numeric) = 1.0167668915428488595946165686364 absolute error = 0.00024701602790612302705439128626008 relative error = 0.024300167055857228745918112723584 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001982525937949312176254739748 x1[1] (numeric) = 1.9999896091008922010161254035495 absolute error = 0.00020864349290273020150007042533484 relative error = 0.010431140644791975204821553948874 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.777e+04 Order of pole = 2.417e+08 TOP MAIN SOLVE Loop memory used=3238.7MB, alloc=4.9MB, time=148.62 t[1] = 2.207 x2[1] (analytic) = 1.0165528491518515405466813649332 x2[1] (numeric) = 1.0168008771310757402908425432388 absolute error = 0.00024802797922419974416117830568015 relative error = 0.024398926177929544997334887094312 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001980544402943993437805472626 x1[1] (numeric) = 1.9999887950344511772268173831009 absolute error = 0.00020925940584322211696316416169917 relative error = 0.010461934275892401517324074731046 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.781e+04 Order of pole = 2.420e+08 TOP MAIN SOLVE Loop memory used=3242.5MB, alloc=4.9MB, time=148.80 t[1] = 2.208 x2[1] (analytic) = 1.0165858889011517609918940937656 x2[1] (numeric) = 1.0168349319814283243937449921106 absolute error = 0.00024904308027656340185089834498303 relative error = 0.024497987134737734956501932826108 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001978564848483242688722056822 x1[1] (numeric) = 1.9999879801535365434815417692859 absolute error = 0.00020987633131178078733043639627485 relative error = 0.010492778533450579123196366377242 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.784e+04 Order of pole = 2.422e+08 memory used=3246.3MB, alloc=4.9MB, time=148.98 TOP MAIN SOLVE Loop memory used=3250.1MB, alloc=4.9MB, time=149.15 t[1] = 2.209 x2[1] (analytic) = 1.0166189948951014169213653465528 x2[1] (numeric) = 1.0168690562337930243638873004211 absolute error = 0.00025006133869160744252195386829245 relative error = 0.024597350624695903385333023452275 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001976587272587505303290866023 x1[1] (numeric) = 1.9999871644573334187977580716791 absolute error = 0.00021049426992533173257101492323851 relative error = 0.010523673448316646141223273304845 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.787e+04 Order of pole = 2.425e+08 TOP MAIN SOLVE Loop memory used=3254.0MB, alloc=4.9MB, time=149.33 t[1] = 2.21 x2[1] (analytic) = 1.0166521672662234071110363657655 x2[1] (numeric) = 1.0169032500283375296025702402128 absolute error = 0.0002510827621141224915338744472875 relative error = 0.024697017347563795680807948192996 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001974611673279205220976517994 x1[1] (numeric) = 1.9999863479450261069043669206372 absolute error = 0.00021111322230181361773073116224363 relative error = 0.010554619051391386260389258954832 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.791e+04 Order of pole = 2.427e+08 TOP MAIN SOLVE Loop memory used=3257.8MB, alloc=4.9MB, time=149.50 t[1] = 2.211 x2[1] (analytic) = 1.016685406147306040285275298853 x2[1] (numeric) = 1.0169375135055113707934112152594 absolute error = 0.00025210735820533050813591640645682 relative error = 0.024796988004448944258431497659532 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001972638048582742968845649242 x1[1] (numeric) = 1.999985530615798095426013728225 absolute error = 0.00021173318906017887087083669914241 relative error = 0.010585615373626259664118072350972 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.794e+04 Order of pole = 2.430e+08 TOP MAIN SOLVE Loop memory used=3261.6MB, alloc=4.9MB, time=149.68 t[1] = 2.212 x2[1] (analytic) = 1.0167187116714035663690691616226 x2[1] (numeric) = 1.0169718468060464853749614816582 absolute error = 0.00025313513464291900589232003566577 relative error = 0.024897263297808816678946151478935 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001970666396524493685967277447 x1[1] (numeric) = 1.9999847124688320550665762448181 absolute error = 0.00021235417082039430202048292660805 relative error = 0.010616662446023434005142074211428 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.798e+04 Order of pole = 2.432e+08 TOP MAIN SOLVE Loop memory used=3265.4MB, alloc=4.9MB, time=149.85 t[1] = 2.213 x2[1] (analytic) = 1.0167520839718367088038822280418 x2[1] (numeric) = 1.017006250070957784146626909686 absolute error = 0.00025416609912107534274468164419585 relative error = 0.024997843931452965512077356898449 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001968696715132805149787776068 x1[1] (numeric) = 1.9999838935033098387918351948696 absolute error = 0.00021297616820344172314358273718875 relative error = 0.010647760299635815431032291006927 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.801e+04 Order of pole = 2.434e+08 memory used=3269.2MB, alloc=4.9MB, time=150.03 TOP MAIN SOLVE Loop memory used=3273.0MB, alloc=4.9MB, time=150.21 t[1] = 2.214 x2[1] (analytic) = 1.0167855231821931979293102092874 x2[1] (numeric) = 1.0170407234415437190101623893413 absolute error = 0.00025520025935052108085218005384395 relative error = 0.025098730610545179931044819314646 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001966729002437995804478487478 x1[1] (numeric) = 1.9999830737184124810113271745121 absolute error = 0.00021359918183131856912067423570662 relative error = 0.010678908965567079660420315833718 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.804e+04 Order of pole = 2.437e+08 TOP MAIN SOLVE Loop memory used=3276.8MB, alloc=4.9MB, time=150.38 t[1] = 2.215 x2[1] (analytic) = 1.0168190294363283054326638479523 x2[1] (numeric) = 1.0170752670593868518490145279709 absolute error = 0.0002562376230585464163506800186347 relative error = 0.025199924041605639031527573627319 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001964763256472352791254003003 x1[1] (numeric) = 1.9999822531133201967593789928474 absolute error = 0.00021422321232703851974640745291709 relative error = 0.010710108474971703109943225475105 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.808e+04 Order of pole = 2.439e+08 TOP MAIN SOLVE Loop memory used=3280.7MB, alloc=4.9MB, time=150.56 t[1] = 2.216 x2[1] (analytic) = 1.0168526028683653798686198249409 x2[1] (numeric) = 1.0171098810663544245477918434572 absolute error = 0.00025727819798904467917201851633894 relative error = 0.025301424932513066868724768827751 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001962799475270129980659140154 x1[1] (numeric) = 1.9999814316872123808753226379575 absolute error = 0.00021484826031463212274327605796734 relative error = 0.010741358859054994071942733562419 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.811e+04 Order of pole = 2.442e+08 TOP MAIN SOLVE Loop memory used=3284.5MB, alloc=4.9MB, time=150.73 t[1] = 2.217 x2[1] (analytic) = 1.0168862436126963832510811567575 x2[1] (numeric) = 1.017144565604598930154146220641 absolute error = 0.00025832199190254690306506388344095 relative error = 0.025403233992506889206108076779941 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001960837656867546006822649363 x1[1] (numeric) = 1.9999806094392676071828900478528 absolute error = 0.00021547432641914741779221708343734 relative error = 0.010772660149073123942949850314992 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.815e+04 Order of pole = 2.444e+08 TOP MAIN SOLVE Loop memory used=3288.3MB, alloc=4.9MB, time=150.90 t[1] = 2.218 x2[1] (analytic) = 1.0169199518039824287193935496301 x2[1] (numeric) = 1.0171793208165586851853539719917 absolute error = 0.00025936901257625646596042236159815 relative error = 0.025505351932189391969415429226188 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001958877799302782303675684461 x1[1] (numeric) = 1.9999797863686636276687868657525 absolute error = 0.00021610141126665056158070269361523 relative error = 0.010804012376333158502986369939013 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.818e+04 Order of pole = 2.447e+08 memory used=3292.1MB, alloc=4.9MB, time=151.08 TOP MAIN SOLVE Loop memory used=3295.9MB, alloc=4.9MB, time=151.26 t[1] = 2.219 x2[1] (analytic) = 1.0169537275771543192810684742427 x2[1] (numeric) = 1.0172141468449584030818894260338 absolute error = 0.00026041926780408380082095179113082 relative error = 0.025607779463527881399389394129185 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001956919900615981143133073127 x1[1] (numeric) = 1.9999789624745773716604443582685 absolute error = 0.000216729515484226453868949044151 relative error = 0.010835415572193089245714557397158 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.821e+04 Order of pole = 2.449e+08 TOP MAIN SOLVE Loop memory used=3299.7MB, alloc=4.9MB, time=151.43 t[1] = 2.22 x2[1] (analytic) = 1.0169875710674130876331680307776 x2[1] (numeric) = 1.0172490438328097688102885587044 absolute error = 0.0002614727653966811771205279268099 relative error = 0.025710517299856845896716923035027 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000195496395884924367523542548 x1[1] (numeric) = 1.9999781377561849450029486742486 absolute error = 0.00021735863969997936457486829934933 relative error = 0.010866869768061864759466456924652 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.825e+04 Order of pole = 2.451e+08 TOP MAIN SOLVE Loop memory used=3303.6MB, alloc=4.9MB, time=151.61 t[1] = 2.221 x2[1] (analytic) = 1.0170214824102305370645109885184 x2[1] (numeric) = 1.0172840119234120146176047836827 absolute error = 0.000262529513181477553093795164327 relative error = 0.025813566155880119552580434688518 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001953009972046627970250120961 x1[1] (numeric) = 1.999977312212661629235146621204 absolute error = 0.00021798878454303356187839089210599 relative error = 0.010898374995399422159184295362967 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.828e+04 Order of pole = 2.454e+08 TOP MAIN SOLVE Loop memory used=3307.4MB, alloc=4.9MB, time=151.79 t[1] = 2.222 x2[1] (analytic) = 1.017055461741349783440863707456 x2[1] (numeric) = 1.0173190512603524969397636278094 absolute error = 0.00026358951900271349889992035347816 relative error = 0.025916926747673047358183246136697 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001951057938254147062729215605 x1[1] (numeric) = 1.9999764858431818807649271354297 absolute error = 0.00021861995064353394134578613086239 relative error = 0.010929931285716718569303504109726 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.832e+04 Order of pole = 2.456e+08 TOP MAIN SOLVE Loop memory used=3311.2MB, alloc=4.9MB, time=151.96 t[1] = 2.223 x2[1] (analytic) = 1.0170895091967857982752839811796 x2[1] (numeric) = 1.0173541619875072744661276370171 absolute error = 0.00026465279072147619084365583742661 relative error = 0.026020599792684652086565220501003 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001949107855519766997522313764 x1[1] (numeric) = 1.9999756586469193300436776210984 absolute error = 0.00021925213863264665607461027795126 relative error = 0.010961538670575762657609934242698 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.835e+04 Order of pole = 2.459e+08 TOP MAIN SOLVE Loop memory used=3315.0MB, alloc=4.9MB, time=152.14 memory used=3318.8MB, alloc=4.9MB, time=152.31 t[1] = 2.224 x2[1] (analytic) = 1.0171236249128259528857901808527 x2[1] (numeric) = 1.0173893442490416873625874867503 absolute error = 0.00026571933621573447679730589758033 relative error = 0.026124586009739802839977169965005 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000194715972189340487774245028 x1[1] (numeric) = 1.9999748306230467807399143327837 absolute error = 0.00021988534914255974785991224433408 relative error = 0.01099319718158964622010289016695 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.838e+04 Order of pole = 2.461e+08 TOP MAIN SOLVE Loop memory used=3322.6MB, alloc=4.9MB, time=152.49 t[1] = 2.225 x2[1] (analytic) = 1.0171578090260305636425324292763 x2[1] (numeric) = 1.017424598189410937655499908678 absolute error = 0.00026678916338037401296747940178565 relative error = 0.026228886119041385256035032794771 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.00019452135354269269146830311 x1[1] (numeric) = 1.999974001770736208912085975043 absolute error = 0.00022051958280648377938232806698859 relative error = 0.011024906850422575816895657957445 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.842e+04 Order of pole = 2.464e+08 TOP MAIN SOLVE Loop memory used=3326.4MB, alloc=4.9MB, time=152.66 t[1] = 2.226 x2[1] (analytic) = 1.0171920616732334383066468919575 x2[1] (numeric) = 1.0174599239533606707787976926083 absolute error = 0.0002678622801272324721508006508558 relative error = 0.026333500842172473365827133864083 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001943269294174146479683882217 x1[1] (numeric) = 1.9999731720891587621805496918646 absolute error = 0.00022115484025865246741869635709344 relative error = 0.011056667708789904459185255424634 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.845e+04 Order of pole = 2.466e+08 TOP MAIN SOLVE Loop memory used=3330.3MB, alloc=4.9MB, time=152.84 t[1] = 2.227 x2[1] (analytic) = 1.0172263829915424234629786387339 x2[1] (numeric) = 1.0174953216859275582866016789299 absolute error = 0.00026893869438513482362304019608405 relative error = 0.026438430902098503097099938677683 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001941326996190822157944458835 x1[1] (numeric) = 1.9999723415774847588987186179538 absolute error = 0.00022179112213432331707582792967832 relative error = 0.011088479788458163347323181817899 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.849e+04 Order of pole = 2.469e+08 TOP MAIN SOLVE Loop memory used=3334.1MB, alloc=4.9MB, time=153.01 t[1] = 2.228 x2[1] (analytic) = 1.0172607731183399530488629048854 x2[1] (numeric) = 1.0175307915324398817336693226449 absolute error = 0.00027001841409992868480641775949777 relative error = 0.02654367702316944741559962075318 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000193938663953465580428226854 x1[1] (numeric) = 1.9999715102348836873233801630054 absolute error = 0.00022242842906977825704806384856197 relative error = 0.011120343121245093660018996001229 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.852e+04 Order of pole = 2.471e+08 TOP MAIN SOLVE Loop memory used=3337.9MB, alloc=4.9MB, time=153.19 memory used=3341.7MB, alloc=4.9MB, time=153.36 t[1] = 2.229 x2[1] (analytic) = 1.017295232191283597981158964802 x2[1] (numeric) = 1.0175663336385181177260190851323 absolute error = 0.00027110144723451974486012033035773 relative error = 0.026649239931121993097598480916379 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001937448222265290600834564268 x1[1] (numeric) = 1.9999706780605242047841841992826 absolute error = 0.00022306676170232427589925714418903 relative error = 0.011152257739019678394708602887123 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.856e+04 Order of pole = 2.474e+08 TOP MAIN SOLVE Loop memory used=3345.5MB, alloc=4.9MB, time=153.54 t[1] = 2.23 x2[1] (analytic) = 1.0173297603483066168837352241901 x2[1] (numeric) = 1.0176019481500755241440745942271 absolute error = 0.00027218780176890726033937003696379 relative error = 0.026755120353081719126586784065445 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001935511742444309116701364738 x1[1] (numeric) = 1.9999698450535741368523003219874 absolute error = 0.00022370612067029405936981448640063 relative error = 0.011184223673702174259119178898685 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.859e+04 Order of pole = 2.476e+08 TOP MAIN SOLVE Loop memory used=3349.3MB, alloc=4.9MB, time=153.72 t[1] = 2.231 x2[1] (analytic) = 1.0173643577276185079176085385114 x2[1] (numeric) = 1.0176376352133187275406772070147 absolute error = 0.00027327748570021962306866850336375 relative error = 0.026861319017565276707061913746154 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001933577198135231369527862024 x1[1] (numeric) = 1.9999690112132004765082433510831 absolute error = 0.0002243465066130466287094351192332 relative error = 0.011216240957264143614062718246039 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.862e+04 Order of pole = 2.479e+08 TOP MAIN SOLVE Loop memory used=3353.1MB, alloc=4.9MB, time=153.89 t[1] = 2.232 x2[1] (analytic) = 1.0173990244677055617159451758662 x2[1] (numeric) = 1.0176733949747483117163203129635 absolute error = 0.00027437050704275000037513709724865 relative error = 0.026967836654482570888297886932616 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001931644587403512889024277821 x1[1] (numeric) = 1.9999681765385693833088662423916 absolute error = 0.00022498792017096798003618539053805 relative error = 0.011248309621728486467490232851754 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.866e+04 Order of pole = 2.481e+08 TOP MAIN SOLVE Loop memory used=3357.0MB, alloc=4.9MB, time=154.07 t[1] = 2.233 x2[1] (analytic) = 1.0174337607073314154261352618889 x2[1] (numeric) = 1.0177092275811594074739634276482 absolute error = 0.00027546687382799204782816575933033 relative error = 0.027074673995138943790929220204287 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001929713908316542782421231948 x1[1] (numeric) = 1.9999673410288461825535195749593 absolute error = 0.00022563036198547172472254823554907 relative error = 0.011280429699169472519838689840903 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.869e+04 Order of pole = 2.484e+08 TOP MAIN SOLVE Loop memory used=3360.8MB, alloc=4.9MB, time=154.25 memory used=3364.6MB, alloc=4.9MB, time=154.42 t[1] = 2.234 x2[1] (analytic) = 1.0174685665855376078611569724164 x2[1] (numeric) = 1.0177451331796422835557888493934 absolute error = 0.000276566594104675694631876977012 relative error = 0.0271818317722373594291338935294 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001927785158943641801858688525 x1[1] (numeric) = 1.999966504683195364449376780852 absolute error = 0.00022627383269899973080908800050179 relative error = 0.011312601221712773260702821624755 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.873e+04 Order of pole = 2.486e+08 TOP MAIN SOLVE Loop memory used=3368.4MB, alloc=4.9MB, time=154.60 t[1] = 2.235 x2[1] (analytic) = 1.01750344224164413576245117676 x2[1] (numeric) = 1.0177811119175829387642683826874 absolute error = 0.00027766967593880300181720592735947 relative error = 0.027289310719880590121150718585471 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001925858337356060413706547223 x1[1] (numeric) = 1.9999656675007805832759242827023 absolute error = 0.00022691833295502276544637202002185 relative error = 0.011344824221535494116863994752984 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.876e+04 Order of pole = 2.489e+08 TOP MAIN SOLVE Loop memory used=3372.2MB, alloc=4.9MB, time=154.77 t[1] = 2.236 x2[1] (analytic) = 1.017538387815250011176531680353 x2[1] (numeric) = 1.0178171639426636952699123732204 absolute error = 0.00027877612741368409338069286744163 relative error = 0.027397111573573404480816784447237 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001923933441626976869814948906 x1[1] (numeric) = 1.9999648294807646565486157035004 absolute error = 0.00022756386339804113836579139025799 relative error = 0.011377098730866206651708374887685 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.880e+04 Order of pole = 2.491e+08 TOP MAIN SOLVE Loop memory used=3376.0MB, alloc=4.9MB, time=154.95 t[1] = 2.237 x2[1] (analytic) = 1.0175734034462338199475606703962 x2[1] (numeric) = 1.0178532894028637931080780498914 absolute error = 0.00027988595662997316051737949521695 relative error = 0.027505235070224756982760824029108 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001922010469831495280692366912 x1[1] (numeric) = 1.9999639906223095641816893122825 absolute error = 0.00022821042467358534637992440863415 relative error = 0.01140942478198498081606667646349 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.883e+04 Order of pole = 2.494e+08 TOP MAIN SOLVE Loop memory used=3379.8MB, alloc=4.9MB, time=155.12 t[1] = 2.238 x2[1] (analytic) = 1.0176084892747542813281234318895 x2[1] (numeric) = 1.017889488446459985867218929132 absolute error = 0.00028099917170570453909549724248584 relative error = 0.027613681948149979093838319360325 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001920089420046643690609557152 x1[1] (numeric) = 1.9999631509245764476501478685346 absolute error = 0.00022885801742821671891308718063759 relative error = 0.011441802407223417250507836841756 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.887e+04 Order of pole = 2.496e+08 TOP MAIN SOLVE Loop memory used=3383.7MB, alloc=4.9MB, time=155.30 memory used=3387.5MB, alloc=4.9MB, time=155.48 t[1] = 2.239 x2[1] (analytic) = 1.0176436454412508087104408741384 x2[1] (numeric) = 1.0179257612220271375709618064326 absolute error = 0.00028211578077632886052093229419403 relative error = 0.027722452947072971963343942073787 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001918170290351372154627442138 x1[1] (numeric) = 1.9999623103867256091509000272895 absolute error = 0.00022950664230952806456271692424758 relative error = 0.011474231638964679639119006043109 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.890e+04 Order of pole = 2.498e+08 TOP MAIN SOLVE Loop memory used=3391.3MB, alloc=4.9MB, time=155.65 t[1] = 2.24 x2[1] (analytic) = 1.0176788720864440714802628894828 x2[1] (numeric) = 1.0179621078784388207564026390396 absolute error = 0.00028323579199474927613974955675242 relative error = 0.027831548808128400664486506880837 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001916253078826550817547005949 x1[1] (numeric) = 1.9999614690079165107630624660615 absolute error = 0.00023015629996614431869223453344183 relative error = 0.011506712509643527114804294451765 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.893e+04 Order of pole = 2.501e+08 TOP MAIN SOLVE Loop memory used=3395.1MB, alloc=4.9MB, time=155.83 t[1] = 2.241 x2[1] (analytic) = 1.0177141693513365579956900566227 x2[1] (numeric) = 1.017998528564867915751017412446 absolute error = 0.00028435921353135775532735582322632 relative error = 0.027940970273863889979560999760934 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001914337783554967994779279113 x1[1] (numeric) = 1.9999606267873077736074218939176 absolute error = 0.00023080699104772319205603399369708 relative error = 0.011539245051746346716134772226901 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.897e+04 Order of pole = 2.503e+08 TOP MAIN SOLVE Loop memory used=3398.9MB, alloc=4.9MB, time=156.00 t[1] = 2.242 x2[1] (analytic) = 1.0177495373772131396931757005345 x2[1] (numeric) = 1.018035023430787211150588881541 absolute error = 0.00028548605357407145741318100643876 relative error = 0.0280507180882422217212014285935 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001912424402621328255133494241 x1[1] (numeric) = 1.9999597837240571770050561021495 absolute error = 0.00023145871620495582045724727452751 relative error = 0.0115718292978111858957822655311 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.900e+04 Order of pole = 2.506e+08 TOP MAIN SOLVE Loop memory used=3402.7MB, alloc=4.9MB, time=156.18 t[1] = 2.243 x2[1] (analytic) = 1.0177849763056416363229648295997 x2[1] (numeric) = 1.0180715926259700055005548851331 absolute error = 0.00028661632032836917759005553342598 relative error = 0.028160792996643533582047231475548 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001910512934112250505521495236 x1[1] (numeric) = 1.9999589398173216576351132151668 absolute error = 0.00023211147608956741543893435687978 relative error = 0.011604465280427785080569546093551 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.904e+04 Order of pole = 2.509e+08 TOP MAIN SOLVE Loop memory used=3406.5MB, alloc=4.9MB, time=156.36 memory used=3410.4MB, alloc=4.9MB, time=156.53 t[1] = 2.244 x2[1] (analytic) = 1.0178204862784733823162309882195 x2[1] (numeric) = 1.018108236300490710183188750037 absolute error = 0.00028775002201732786695776181748009 relative error = 0.028271195745867519505104766479036 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001908603376116266077576484755 x1[1] (numeric) = 1.9999580950662573086917482993889 absolute error = 0.00023276527135431791600934908662916 relative error = 0.011637153032237610283169562066211 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.907e+04 Order of pole = 2.511e+08 TOP MAIN SOLVE Loop memory used=3414.2MB, alloc=4.9MB, time=156.71 t[1] = 2.245 x2[1] (analytic) = 1.0178560674378437942861765898875 x2[1] (numeric) = 1.0181449546047254535130271280359 absolute error = 0.00028888716688165922685053814841626 relative error = 0.028381927084135631567033995581967 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001906695726723816816184196548 x1[1] (numeric) = 1.9999572494700193790402164870754 absolute error = 0.00023342010265300264140193257949675 relative error = 0.011669892585933885765486409604786 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.911e+04 Order of pole = 2.514e+08 TOP MAIN SOLVE Loop memory used=3418.0MB, alloc=4.9MB, time=156.88 t[1] = 2.246 x2[1] (analytic) = 1.0178917199261729396653668314516 x2[1] (numeric) = 1.0181817476893526860429654458205 absolute error = 0.00029002776317974637759861436891649 relative error = 0.028492987761093283366538864432706 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001904789984027253169924581221 x1[1] (numeric) = 1.9999564030277622723721217711847 absolute error = 0.00023407597064045294487068693743569 relative error = 0.011702683974261626753750796112961 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.914e+04 Order of pole = 2.516e+08 TOP MAIN SOLVE Loop memory used=3421.8MB, alloc=4.9MB, time=157.06 t[1] = 2.247 x2[1] (analytic) = 1.017927443886166106481571834137 x2[1] (numeric) = 1.018218615705353787083445994473 absolute error = 0.00029117181918768060187416033603577 relative error = 0.028604378527812054909988067953236 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000190288614612083228342209584 x1[1] (numeric) = 1.9999555557386395463598206265121 absolute error = 0.00023473287597253686852158307191451 relative error = 0.011735527230017672205362797628066 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.918e+04 Order of pole = 2.519e+08 TOP MAIN SOLVE Loop memory used=3425.6MB, alloc=4.9MB, time=157.23 t[1] = 2.248 x2[1] (analytic) = 1.0179632394608143742743962108413 x2[1] (numeric) = 1.0182555588040136724371685412447 absolute error = 0.00029231934319929816277233040342078 relative error = 0.02871610013679189898634087902927 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001900984211100716091602689745 x1[1] (numeric) = 1.9999547076018039118099796115089 absolute error = 0.00023539081930615979918065746556005 relative error = 0.011768422386050717627514764399253 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.921e+04 Order of pole = 2.521e+08 TOP MAIN SOLVE Loop memory used=3429.4MB, alloc=4.9MB, time=157.41 memory used=3433.3MB, alloc=4.9MB, time=157.69 t[1] = 2.249 x2[1] (analytic) = 1.0179991067933951861549798222678 x2[1] (numeric) = 1.0182925771369214033517582122705 absolute error = 0.00029347034352621719677839000269837 relative error = 0.028828153341963349023400503148366 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001899084177064969415855580824 x1[1] (numeric) = 1.9999538586164072318162861043421 absolute error = 0.00023604980129926512529945374031132 relative error = 0.011801369475261347947627280315321 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.924e+04 Order of pole = 2.524e+08 TOP MAIN SOLVE Loop memory used=3437.1MB, alloc=4.9MB, time=158.11 t[1] = 2.25 x2[1] (analytic) = 1.0180350460274729220110580566559 x2[1] (numeric) = 1.0183296708559707966928302705089 absolute error = 0.00029462482849787468177221385305619 relative error = 0.028940538898689728417365005306324 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001897186042113558062097918406 x1[1] (numeric) = 1.9999530087816005209113113259031 absolute error = 0.00023670982261083489489846593758069 relative error = 0.011834368530602070435631133478674 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.928e+04 Order of pole = 2.526e+08 TOP MAIN SOLVE Loop memory used=3440.9MB, alloc=4.9MB, time=158.53 t[1] = 2.251 x2[1] (analytic) = 1.0180710573068994728596745492091 x2[1] (numeric) = 1.0183668401133610363398962985965 absolute error = 0.0002957828064615634802217493874794 relative error = 0.029053257563769361327593236281871 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001895289804348346920740430845 x1[1] (numeric) = 1.9999521580965339442175248016306 absolute error = 0.00023737088390089047454924145392039 relative error = 0.01186741958507734767812830689455 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.931e+04 Order of pole = 2.529e+08 TOP MAIN SOLVE Loop memory used=3444.7MB, alloc=4.9MB, time=158.94 t[1] = 2.252 x2[1] (analytic) = 1.0181071407758148163498438478406 x2[1] (numeric) = 1.0184040850615972858075611914942 absolute error = 0.00029694428578246945771734365364435 relative error = 0.029166310095437784928450362954553 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001893395461873098068552157746 x1[1] (numeric) = 1.9999513065603568165974594131603 absolute error = 0.00023803298583049320939580261435228 relative error = 0.011900522671743630604465049950626 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.935e+04 Order of pole = 2.531e+08 TOP MAIN SOLVE Loop memory used=3448.5MB, alloc=4.9MB, time=159.36 t[1] = 2.253 x2[1] (analytic) = 1.0181432965786475934174661315607 x2[1] (numeric) = 1.018441405853491302094465268789 absolute error = 0.0002981092748437086769991372283265 relative error = 0.029279697253369963110044581185252 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001891503012793468872422368724 x1[1] (numeric) = 1.9999504541722176018030261899675 absolute error = 0.0002386961290617450842160469048375 relative error = 0.011933677823709391564750143101537 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.938e+04 Order of pole = 2.534e+08 TOP MAIN SOLVE Loop memory used=3452.3MB, alloc=4.9MB, time=159.77 memory used=3456.1MB, alloc=4.9MB, time=160.19 t[1] = 2.254 x2[1] (analytic) = 1.0181795248601156860948006967449 x2[1] (numeric) = 1.0184788026421620507624307313225 absolute error = 0.00029927778204636466763003457757914 relative error = 0.029393419798682501619613359367197 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001889612455217010095017772421 x1[1] (numeric) = 1.9999496009312639116239779903168 absolute error = 0.00023936031425778938552378692534113 relative error = 0.011966885074135157459851519945676 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.942e+04 Order of pole = 2.536e+08 TOP MAIN SOLVE Loop memory used=3460.0MB, alloc=4.9MB, time=160.61 t[1] = 2.255 x2[1] (analytic) = 1.0182158257652267964768095446663 x2[1] (numeric) = 1.0185162755810363222482766114684 absolute error = 0.00030044981580952577146706680211083 relative error = 0.029507478493935864635264125561794 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001887723787253164002333121477 x1[1] (numeric) = 1.9999487468366425050355212199821 absolute error = 0.00024002554208281136471209216558723 relative error = 0.012000144456233542923404462688028 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.945e+04 Order of pole = 2.539e+08 TOP MAIN SOLVE Loop memory used=3463.8MB, alloc=4.9MB, time=161.03 t[1] = 2.256 x2[1] (analytic) = 1.0182521994392790268466870310584 x2[1] (numeric) = 1.0185538248238493494107713008879 absolute error = 0.00030162538457032256408426982946111 relative error = 0.02962187410313659276372067063234 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001885837007013262473133320974 x1[1] (numeric) = 1.9999478918874992873450747363505 absolute error = 0.00024069181320203890223859574690105 relative error = 0.012033456003269283555864638822721 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.949e+04 Order of pole = 2.541e+08 TOP MAIN SOLVE Loop memory used=3467.6MB, alloc=4.9MB, time=161.45 t[1] = 2.257 x2[1] (analytic) = 1.0182886460278614609628961751308 x2[1] (numeric) = 1.0185914505246454263151966839837 absolute error = 0.00030280449678396535230050885298002 relative error = 0.029736607391739522453672693453432 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001883952112610525110285149812 x1[1] (numeric) = 1.9999470360829793093381750846657 absolute error = 0.00024135912828174317285343031550079 relative error = 0.012066819748559269210639298742475 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.952e+04 Order of pole = 2.544e+08 TOP MAIN SOLVE Loop memory used=3471.4MB, alloc=4.9MB, time=161.86 t[1] = 2.258 x2[1] (analytic) = 1.0183251656768547465100368713898 x2[1] (numeric) = 1.0186291528377785282580028595633 absolute error = 0.0003039871609237817479659881734909 relative error = 0.029851679126650006816271861578786 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001882069102160057353976706347 x1[1] (numeric) = 1.9999461794222267664235272123194 absolute error = 0.00024202748798923931187045831522993 relative error = 0.012100235725472577332330005889387 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.956e+04 Order of pole = 2.546e+08 TOP MAIN SOLVE Loop memory used=3475.2MB, alloc=4.9MB, time=162.28 memory used=3479.0MB, alloc=4.9MB, time=162.69 t[1] = 2.259 x2[1] (analytic) = 1.0183617585324316787158759028539 x2[1] (numeric) = 1.018666931917912933034037397428 absolute error = 0.00030517338548125431816149457409592 relative error = 0.029967090076226137844263501168796 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001880187973778848596822691499 x1[1] (numeric) = 1.9999453219043849977771998062389 absolute error = 0.00024269689299288708248246291101616 relative error = 0.012133703967430506347120323002349 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.959e+04 Order of pole = 2.549e+08 TOP MAIN SOLVE Loop memory used=3482.8MB, alloc=4.9MB, time=163.11 t[1] = 2.26 x2[1] (analytic) = 1.0183984247410577851368733188052 x2[1] (numeric) = 1.0187047879200238434488380507583 absolute error = 0.00030636317896605831196473195310939 relative error = 0.030082841010280970021188562985463 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001878308725585770300853644456 x1[1] (numeric) = 1.9999444635285964854859643975672 absolute error = 0.00024336734396209154412096687830335 relative error = 0.012167224507906609105341929991081 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.963e+04 Order of pole = 2.552e+08 TOP MAIN SOLVE Loop memory used=3486.7MB, alloc=4.9MB, time=163.53 t[1] = 2.261 x2[1] (analytic) = 1.0184351644494919116145444141149 x2[1] (numeric) = 1.0187427209993980110784828292707 absolute error = 0.00030755654990609946393841515581745 relative error = 0.030198932700084745312035836329804 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001876431355701574116387247938 x1[1] (numeric) = 1.9999436042940028536897773769754 absolute error = 0.00024403884156730372186134781833109 relative error = 0.012200797380426726376252700975285 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.966e+04 Order of pole = 2.554e+08 TOP MAIN SOLVE Loop memory used=3490.5MB, alloc=4.9MB, time=163.94 t[1] = 2.262 x2[1] (analytic) = 1.0184719778047868094050012304267 x2[1] (numeric) = 1.0187807313116343612794963322106 absolute error = 0.00030875350684755187449510178390923 relative error = 0.030315365918367119526669499399256 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001874555862248890002779821915 x1[1] (numeric) = 1.999942744199744867723404063087 absolute error = 0.00024471138648002127687391910443297 relative error = 0.012234422618569020395060320069727 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.970e+04 Order of pole = 2.557e+08 TOP MAIN SOLVE Loop memory used=3494.3MB, alloc=4.9MB, time=164.36 t[1] = 2.263 x2[1] (analytic) = 1.0185088649542897234840221921099 x2[1] (numeric) = 1.0188188190126446194513162443331 absolute error = 0.00030995405835489596729405222325087 relative error = 0.030432141439319390047302002153475 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001872682243352224351056126512 x1[1] (numeric) = 1.9999418832449624332571839656407 absolute error = 0.00024538497937278917792164701049021 relative error = 0.012268100255964008462225067572373 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 6.973e+04 Order of pole = 2.559e+08 TOP MAIN SOLVE Loop memory used=3498.1MB, alloc=4.9MB, time=164.77 t[1] = 2.264 memory used=3501.9MB, alloc=4.9MB, time=165.19 x2[1] (analytic) = 1.0185458260456429820300031919146 x2[1] (numeric) = 1.018856984258653938553828912132 absolute error = 0.00031115821301095652382572021743021 relative error = 0.030549260038596724911226975869865 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001870810497137958108415596745 x1[1] (numeric) = 1.9999410214287945954369363841552 absolute error = 0.00024605962091920037390517551931385 relative error = 0.012301830326294596595075460322917 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.977e+04 Order of pole = 2.562e+08 TOP MAIN SOLVE Loop memory used=3505.7MB, alloc=4.9MB, time=165.61 t[1] = 2.265 x2[1] (analytic) = 1.0185828612267845870871481526924 x2[1] (numeric) = 1.0188952272062015278824879417198 absolute error = 0.00031236597941694079533978902743875 relative error = 0.030666722493320393239971351618734 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001868940621734344904613133587 x1[1] (numeric) = 1.9999401587503795380230054820027 absolute error = 0.00024673531179389646745583135603642 relative error = 0.012335612863296113231770482143332 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.980e+04 Order of pole = 2.564e+08 TOP MAIN SOLVE Loop memory used=3509.5MB, alloc=4.9MB, time=166.02 t[1] = 2.266 x2[1] (analytic) = 1.0186199706459488064112618124152 x2[1] (numeric) = 1.0189335480121412831035347939735 absolute error = 0.00031357736619247669227298155823272 relative error = 0.030784529582079997005970147365661 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000186707261527150918021257774 x1[1] (numeric) = 1.9999392952088545825284439749344 absolute error = 0.000247412052672568389577282839574 relative error = 0.012369447900756342987642192450386 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.984e+04 Order of pole = 2.567e+08 TOP MAIN SOLVE Loop memory used=3513.4MB, alloc=4.9MB, time=166.44 t[1] = 2.267 x2[1] (analytic) = 1.0186571544516667665005122100381 x2[1] (numeric) = 1.0189719468336424175518453968401 absolute error = 0.00031479238197565105133318680198534 relative error = 0.030902682084935704127811449789079 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001865206475881444316710994376 x1[1] (numeric) = 1.9999384308033561873563345722438 absolute error = 0.00024808984423195707533652719387406 relative error = 0.012403335472515560463952553342536 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.987e+04 Order of pole = 2.569e+08 TOP MAIN SOLVE Loop memory used=3517.2MB, alloc=4.9MB, time=166.85 t[1] = 2.268 x2[1] (analytic) = 1.0186944127927670468135350895419 x2[1] (numeric) = 1.0190104238281900947939318490887 absolute error = 0.00031601103542304798039675954686645 relative error = 0.031021180783420482885042971657767 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001863342201698010768531898974 x1[1] (numeric) = 1.9999375655330199469362483078874 absolute error = 0.00024876868714985414060488200999247 relative error = 0.012437275612466564109098367710247 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.991e+04 Order of pole = 2.572e+08 TOP MAIN SOLVE Loop memory used=3521.0MB, alloc=4.9MB, time=167.27 t[1] = 2.269 x2[1] (analytic) = 1.0187317458183762751772571887653 x2[1] (numeric) = 1.0190489791535860624586333542958 absolute error = 0.00031723333520978728137616553042616 relative error = 0.031140026460542337643475208219493 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001861479790856934196885556221 x1[1] (numeric) = 1.9999366993969805908598388980221 absolute error = 0.00024944858210510255984965760004763 relative error = 0.012471268354554710132298273199653 % Correct digits = 3 h = 0.001 memory used=3524.8MB, alloc=4.9MB, time=167.69 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.994e+04 Order of pole = 2.575e+08 TOP MAIN SOLVE Loop memory used=3528.6MB, alloc=4.9MB, time=168.11 t[1] = 2.27 x2[1] (analytic) = 1.0187691536779197243868201384209 x2[1] (numeric) = 1.0190876129679492873380355985003 absolute error = 0.0003184592900295629512154600793818 relative error = 0.031259219900786545881859645982119 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001859619241495803605494485876 x1[1] (numeric) = 1.9999358323943719830155722605528 absolute error = 0.00025012952977759734497718803478051 relative error = 0.012505313732777946469795789174604 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 6.998e+04 Order of pole = 2.577e+08 TOP MAIN SOLVE Loop memory used=3532.4MB, alloc=4.9MB, time=168.52 t[1] = 2.271 x2[1] (analytic) = 1.0188066365211219099999914649991 x2[1] (numeric) = 1.0191263254297165917611628697732 absolute error = 0.00031968890859468176117140477407806 relative error = 0.031378761890117896510763693995702 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001857760551754069478182311285 x1[1] (numeric) = 1.9999349645243271207225903314207 absolute error = 0.00025081153084828622522789970780834 relative error = 0.012539411781186846803612466171617 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.001e+04 Order of pole = 2.580e+08 TOP MAIN SOLVE Loop memory used=3536.3MB, alloc=4.9MB, time=168.94 t[1] = 2.272 x2[1] (analytic) = 1.0188441944980071893284539691226 x2[1] (numeric) = 1.01916511669764329124299231293 absolute error = 0.00032092219963610191453834380738044 relative error = 0.031498653215982929474407010742315 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001855903719773041918324088161 x1[1] (numeric) = 1.9999340957859781338637083114944 absolute error = 0.00025149458599917032812409732169693 relative error = 0.012573562533884644632885239726119 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.005e+04 Order of pole = 2.582e+08 TOP MAIN SOLVE Loop memory used=3540.1MB, alloc=4.9MB, time=169.36 t[1] = 2.273 x2[1] (analytic) = 1.0188818277589003616283695383347 x2[1] (numeric) = 1.0192039869308038334113448178103 absolute error = 0.00032215917190347178297527947554345 relative error = 0.031618894667312176626166688483195 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000185404874369588879015625307 x1[1] (numeric) = 1.9999332261784562840175444770633 absolute error = 0.00025217869591330486147114824369458 relative error = 0.012607766025027267397822142866634 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 7.008e+04 Order of pole = 2.585e+08 TOP MAIN SOLVE Loop memory used=3543.9MB, alloc=4.9MB, time=169.77 t[1] = 2.274 x2[1] (analytic) = 1.0189195364544272694926182503116 x2[1] (numeric) = 1.0192429362885924382142121549556 absolute error = 0.00032339983416516872159390464394251 relative error = 0.031739487034522403868401330874358 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001852195621667633861944332927 x1[1] (numeric) = 1.9999323557008919635897816860604 absolute error = 0.00025286386127479979641274723236868 relative error = 0.012642022288823370656310584026346 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.012e+04 Order of pole = 2.587e+08 memory used=3547.7MB, alloc=4.9MB, time=170.19 TOP MAIN SOLVE Loop memory used=3551.5MB, alloc=4.9MB, time=170.60 t[1] = 2.275 x2[1] (analytic) = 1.018957320735515401447118429098 x2[1] (numeric) = 1.0192819649307237394100850981727 absolute error = 0.0003246441952083379629666690747508 relative error = 0.031860431109518854547186418316003 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001850344351835154951006558687 x1[1] (numeric) = 1.9999314843524146949435597112782 absolute error = 0.00025355008276882055154094459046661 relative error = 0.012676331359534372313212449608781 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.015e+04 Order of pole = 2.590e+08 TOP MAIN SOLVE Loop memory used=3555.3MB, alloc=4.9MB, time=171.02 t[1] = 2.276 x2[1] (analytic) = 1.0189951807533944957536381331995 x2[1] (numeric) = 1.0193210730172334273438524093875 absolute error = 0.00032589226383893159021427618795793 relative error = 0.031981727685697494092495498321853 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001848494932347182070591528228 x1[1] (numeric) = 1.9999306121321531295289975309687 absolute error = 0.00025423736108158867806162185408617 relative error = 0.012710693271474486902380342966264 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.019e+04 Order of pole = 2.593e+08 TOP MAIN SOLVE Loop memory used=3559.1MB, alloc=4.9MB, time=171.44 t[1] = 2.277 x2[1] (analytic) = 1.0190331166595971454215133802389 x2[1] (numeric) = 1.0193602607084788930108457073917 absolute error = 0.00032714404888174758933232715285067 relative error = 0.032103377557947255894303664656434 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001846647361354295578608065334 x1[1] (numeric) = 1.9999297390392350470118447063497 absolute error = 0.00025492569690038254601610018368831 relative error = 0.012745108059010759921429324106296 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.022e+04 Order of pole = 2.595e+08 TOP MAIN SOLVE Loop memory used=3563.0MB, alloc=4.9MB, time=171.86 t[1] = 2.278 x2[1] (analytic) = 1.0190711286059594044306932484178 x2[1] (numeric) = 1.0193995281651398734116103985933 absolute error = 0.00032839955918046898091715017549126 relative error = 0.032225381522652288405031498565311 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001844801637008924328205423483 x1[1] (numeric) = 1.9999288650727873544012609746696 absolute error = 0.00025561509091353803155956767861764 relative error = 0.012779575756563102219298567032298 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.026e+04 Order of pole = 2.598e+08 TOP MAIN SOLVE Loop memory used=3566.8MB, alloc=4.9MB, time=172.28 t[1] = 2.279 x2[1] (analytic) = 1.0191092167446213951685368402464 x2[1] (numeric) = 1.0194388755482190981999880147066 absolute error = 0.00032965880359770303145117446012436 relative error = 0.03234774037769420345868913759018 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001842957757465343820201985029 x1[1] (numeric) = 1.9999279902319360851767231856093 absolute error = 0.00025630554381044920529701289361554 relative error = 0.012814096398604324436637404251087 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.029e+04 Order of pole = 2.600e+08 memory used=3570.6MB, alloc=4.9MB, time=172.69 TOP MAIN SOLVE Loop memory used=3574.4MB, alloc=4.9MB, time=173.11 t[1] = 2.28 x2[1] (analytic) = 1.0191473812280279170827919489146 x2[1] (numeric) = 1.0194783030190429376271004794947 absolute error = 0.00033092179101502054430853058010994 relative error = 0.032470454922454325797021411691864 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001841115720879674357360608217 x1[1] (numeric) = 1.9999271145158063984140587079284 absolute error = 0.00025699705628156902167735289331644 relative error = 0.012848670019660171499050280640249 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.033e+04 Order of pole = 2.603e+08 TOP MAIN SOLVE Loop memory used=3578.2MB, alloc=4.9MB, time=173.53 t[1] = 2.281 x2[1] (analytic) = 1.019185622208929056553190132319 x2[1] (numeric) = 1.0195178107392620517838320142172 absolute error = 0.0003321885303329952306418818982092 relative error = 0.032593525957815943792896042174714 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001839275525409879200508776282 x1[1] (numeric) = 1.9999262379235225779106044323892 absolute error = 0.00025768962901841000944644523891305 relative error = 0.012883296654309357163235191564188 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.036e+04 Order of pole = 2.606e+08 TOP MAIN SOLVE Loop memory used=3582.0MB, alloc=4.9MB, time=173.94 t[1] = 2.282 x2[1] (analytic) = 1.0192239398403807979840977741326 x2[1] (numeric) = 1.0195573988708520411444095893608 absolute error = 0.00033345903047124316031181522814008 relative error = 0.032716954286166561361117735690456 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001837437169215762726501704777 x1[1] (numeric) = 1.9999253604542080313094904961177 absolute error = 0.00025838326271354496315967436005989 relative error = 0.012917976337183598616050232858161 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.040e+04 Order of pole = 2.608e+08 TOP MAIN SOLVE Loop memory used=3585.8MB, alloc=4.9MB, time=174.36 t[1] = 2.283 x2[1] (analytic) = 1.0192623342757456361206675954381 x2[1] (numeric) = 1.0195970675761140984136880385687 absolute error = 0.00033473330036846229302044313056546 relative error = 0.032840740711400151046791622873412 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.000183560065045896858802656508 x1[1] (numeric) = 1.9999244821069852892230478526834 absolute error = 0.00025907795806060763575480382465919 relative error = 0.012952709102967651126542943065072 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.043e+04 Order of pole = 2.611e+08 TOP MAIN SOLVE Loop memory used=3589.7MB, alloc=4.9MB, time=174.77 t[1] = 2.284 x2[1] (analytic) = 1.0193008056686931895909399743569 x2[1] (numeric) = 1.0196368170176756616807511694453 absolute error = 0.00033601134898247208981119508838257 relative error = 0.032964886038919408281299888397639 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001833765967302977875245983882 x1[1] (numeric) = 1.9999236028809760043553388113087 absolute error = 0.00025977371575429343218578707943913 relative error = 0.012987494986399342750977171110278 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.047e+04 Order of pole = 2.613e+08 TOP MAIN SOLVE Loop memory used=3593.5MB, alloc=4.9MB, time=175.19 memory used=3597.3MB, alloc=4.9MB, time=175.61 t[1] = 2.285 x2[1] (analytic) = 1.0193393541732008156763483348159 x2[1] (numeric) = 1.0196766473584910688814454351255 absolute error = 0.00033729318529025320509710030964911 relative error = 0.033089391075638006795895615925378 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001831933117913107279278980305 x1[1] (numeric) = 1.9999227227753009506238096677353 absolute error = 0.00026047053649036010411823029519296 relative error = 0.013022334022269609090892255435214 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.050e+04 Order of pole = 2.616e+08 TOP MAIN SOLVE Loop memory used=3601.1MB, alloc=4.9MB, time=176.03 t[1] = 2.286 x2[1] (analytic) = 1.0193779799435542263130877791175 x2[1] (numeric) = 1.0197165587618422135724679701806 absolute error = 0.00033857881828798725938019106301661 relative error = 0.0332142566299828551828578270112 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001830102100456507257517504136 x1[1] (numeric) = 1.9999218417890800222800645484014 absolute error = 0.00026116842096562844568720201219975 relative error = 0.013057226245422528104229353481268 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 7.054e+04 Order of pole = 2.619e+08 TOP MAIN SOLVE Loop memory used=3604.9MB, alloc=4.9MB, time=176.44 t[1] = 2.287 x2[1] (analytic) = 1.0194166831343481053268110623457 x2[1] (numeric) = 1.0197565513913392020196360446072 absolute error = 0.00033986825699109669282498226145318 relative error = 0.03333948351189635459409142701328 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001828272913102160200776740477 x1[1] (numeric) = 1.999920959921432233029759588704 absolute error = 0.00026186736987798299031808534369437 relative error = 0.013092171690755354969559813321162 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.057e+04 Order of pole = 2.621e+08 TOP MAIN SOLVE Loop memory used=3608.7MB, alloc=4.9MB, time=176.86 t[1] = 2.288 x2[1] (analytic) = 1.0194554639004867269031209398543 x2[1] (numeric) = 1.019796625410921011602970250331 absolute error = 0.000341161510434284699849310476637 relative error = 0.033465072532838657566995282918809 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001826445554020878602277347977 x1[1] (numeric) = 1.9999200771714757151516165652394 absolute error = 0.00026256738392637270861116955829698 relative error = 0.013127170393218557003450532176096 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.061e+04 Order of pole = 2.624e+08 TOP MAIN SOLVE Loop memory used=3612.5MB, alloc=4.9MB, time=177.27 t[1] = 2.289 x2[1] (analytic) = 1.0194943223971845752963328621854 x2[1] (numeric) = 1.0198367809848561505412290058754 absolute error = 0.00034245858767157524489614369000342 relative error = 0.033591024505789927967360947191037 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001824620021385303228457799622 x1[1] (numeric) = 1.9999191935383277186155551010361 absolute error = 0.00026326846381081170729067892605184 relative error = 0.013162222387815848631001299533233 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.064e+04 Order of pole = 2.627e+08 TOP MAIN SOLVE Loop memory used=3616.4MB, alloc=4.9MB, time=177.69 memory used=3620.2MB, alloc=4.9MB, time=178.10 t[1] = 2.29 x2[1] (analytic) = 1.0195332587799669657789869447521 x2[1] (numeric) = 1.0198770182777433189385372466205 absolute error = 0.00034375949777635315955030186834789 relative error = 0.033717340245252602039003607767798 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001822796313369901291614996888 x1[1] (numeric) = 1.9999183090211046101999425619117 absolute error = 0.00026397061023237992921893777716237 relative error = 0.013197327709604226409589175589667 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.068e+04 Order of pole = 2.629e+08 TOP MAIN SOLVE Loop memory used=3624.0MB, alloc=4.9MB, time=178.52 t[1] = 2.291 x2[1] (analytic) = 1.019572273204670666834593102531 x2[1] (numeric) = 1.0199173374545120711557574604245 absolute error = 0.00034506424984140432116435789344396 relative error = 0.033844020567253650549765686662701 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001820974428150964624371329918 x1[1] (numeric) = 1.9999174236189218726079607612042 absolute error = 0.00026467382389322385447637178764598 relative error = 0.013232486393694004105855008796025 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.071e+04 Order of pole = 2.632e+08 TOP MAIN SOLVE Loop memory used=3627.8MB, alloc=4.9MB, time=178.94 t[1] = 2.292 x2[1] (analytic) = 1.0196113658274445235960982128502 x2[1] (numeric) = 1.0199577386804234795092565313279 absolute error = 0.00034637285297895591315831847765218 relative error = 0.033971066289346842023472127717851 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001819154363906607855966358162 x1[1] (numeric) = 1.9999165373308941035830885892442 absolute error = 0.00026537810549655720250804657196847 relative error = 0.013267698475248847825967249355244 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.075e+04 Order of pole = 2.634e+08 TOP MAIN SOLVE Loop memory used=3631.6MB, alloc=4.9MB, time=179.37 t[1] = 2.293 x2[1] (analytic) = 1.0196505368047500825325691521589 x2[1] (numeric) = 1.0199982221210707992997271676212 absolute error = 0.00034768531632071676715801546229582 relative error = 0.034098478230615007047354807408846 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001817336118816766590371287796 x1[1] (numeric) = 1.9999156501561350150236996830503 absolute error = 0.00026608345574666163533744572925476 relative error = 0.013302963989485811199198268649922 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.079e+04 Order of pole = 2.637e+08 TOP MAIN SOLVE Loop memory used=3635.4MB, alloc=4.9MB, time=179.78 t[1] = 2.294 x2[1] (analytic) = 1.019689786293362217386590545437 x2[1] (numeric) = 1.020038787942380135173728014761 absolute error = 0.00034900164901791778713746932399052 relative error = 0.034226257211672303644401670686838 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001815519691063195586224424021 x1[1] (numeric) = 1.9999147620937574320967742508452 absolute error = 0.00026678987534888746184819155691303 relative error = 0.013338282971675370614848447725083 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 Complex estimate of poles used for equation 2 Radius of convergence = 7.082e+04 Order of pole = 2.640e+08 TOP MAIN SOLVE Loop memory used=3639.3MB, alloc=4.9MB, time=180.20 memory used=3643.1MB, alloc=4.9MB, time=180.61 t[1] = 2.295 x2[1] (analytic) = 1.0197291144503697563648810696755 x2[1] (numeric) = 1.0200794363106111088206118884829 absolute error = 0.00035032186024135245573081880746688 relative error = 0.034354404054666483700024136137198 % Correct digits = 3 h = 0.001 x1[1] (analytic) = 2.0001813705078829466938585778181 x1[1] (numeric) = 1.9999138731428732923507241651047 absolute error = 0.00026749736500965434313441271345136 relative error = 0.01337365545714146051255335114213 % Correct digits = 3 h = 0.001 Complex estimate of poles used for equation 1 NO POLE for equation 2 Radius of convergence = 7.086e+04 Order of pole = 2.642e+08 Finished! Maximum Time Reached before Solution Completed! diff (x2,t,2) = 3.0 * diff(x2,t,1) - 2.0 * x2 - diff(x1,t,2) - diff (x1,t,1)+x1; diff (x1,t,1) = 4.0 * x2 - 2.0 * diff (x2,t ,1) - 2.0 * x1; Iterations = 796 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 10 Minutes 12 Seconds Optimized Time Remaining = 10 Minutes 11 Seconds Expected Total Time = 13 Minutes 12 Seconds Time to Timeout Unknown Percent Done = 22.77 % > quit memory used=3643.6MB, alloc=4.9MB, time=180.67