##############ECHO OF PROBLEM################# ##############temp/sing5_backpostode.ode################# diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.7; x_end=-1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=0.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=4.0; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/x/x/x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -0.3 estimated_steps = 300000.0000000001 step_error = 9.128709291752769e-15 est_needed_step_err = 9.128709291752769e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 300000.0000000001 step_error = 2.661431280394393e-14 est_needed_step_err = 2.661431280394393e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.75713302168016e-93 estimated_step_error = 5.75713302168016e-93 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -2e-06 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 150000 step_error = 3.763832212057742e-14 est_needed_step_err = 3.763832212057742e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.772992160624715e-88 estimated_step_error = 3.772992160624715e-88 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -4e-06 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 75000.00000000001 step_error = 5.322862560788786e-14 est_needed_step_err = 5.322862560788786e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.472664817800178e-83 estimated_step_error = 2.472664817800178e-83 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -8e-06 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 37500.00000000001 step_error = 7.527664424115485e-14 est_needed_step_err = 7.527664424115485e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.620481257408706e-78 estimated_step_error = 1.620481257408706e-78 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -1.6e-05 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 18750 step_error = 1.064572512157757e-13 est_needed_step_err = 1.064572512157757e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.061992885328032e-73 estimated_step_error = 1.061992885328032e-73 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -3.2e-05 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 9375.000000000002 step_error = 1.505532884823097e-13 est_needed_step_err = 1.505532884823097e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.9598017123667e-69 estimated_step_error = 6.9598017123667e-69 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -6.4e-05 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 4687.500000000001 step_error = 2.129145024315515e-13 est_needed_step_err = 2.129145024315515e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.561077531689908e-64 estimated_step_error = 4.561077531689908e-64 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.000128 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 2343.75 step_error = 3.011065769646194e-13 est_needed_step_err = 3.011065769646194e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.989019173580979e-59 estimated_step_error = 2.989019173580979e-59 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.000256 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 1171.875 step_error = 4.258290048631029e-13 est_needed_step_err = 4.258290048631029e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.958715071996529e-54 estimated_step_error = 1.958715071996529e-54 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.000512 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 585.9375000000001 step_error = 6.022131539292388e-13 est_needed_step_err = 6.022131539292388e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.283442666425318e-49 estimated_step_error = 1.283442666425318e-49 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.001024 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 292.9687500000001 step_error = 8.516580097262058e-13 est_needed_step_err = 8.516580097262058e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.408276721894535e-45 estimated_step_error = 8.408276721894535e-45 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.002048 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 146.484375 step_error = 1.204426307858478e-12 est_needed_step_err = 1.204426307858478e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.50666006406965e-40 estimated_step_error = 5.50666006406965e-40 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.004096 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 73.24218750000001 step_error = 1.703316019452412e-12 est_needed_step_err = 1.703316019452412e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.603889772678617e-35 estimated_step_error = 3.603889772678617e-35 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 2.915451895043732 glob_desired_digits_correct = 10 estimated_h = -0.008192 estimated_answer = 2.915451895043732 desired_abs_gbl_error = 2.915451895043732e-10 range = -0.3 estimated_steps = 36.62109375000001 step_error = 2.408852615716955e-12 est_needed_step_err = 2.408852615716955e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.355377395108573e-30 estimated_step_error = 2.355377395108573e-30 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4272 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = -2.915451895043732 y[1] (numeric) = -2.915451895043732 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = -0.01 Radius of convergence (given) for eq 1 = 0.7 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7 Order of pole (three term test) = 6.224e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = -2.793990684835057 y[1] (numeric) = -2.793990684582133 absolute error = 2.529239040427456e-10 relative error = 9.05242474198431e-09 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 11 h = -0.01 Radius of convergence (given) for eq 1 = 0.71 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.71 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = -2.679183813443073 y[1] (numeric) = -2.67918381296745 absolute error = 4.75622652373886e-10 relative error = 1.775252037532482e-08 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.72 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.72 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = -2.57058174835547 y[1] (numeric) = -2.570581747683412 absolute error = 6.720579648344938e-10 relative error = 2.614419733060203e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.73 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.73 Order of pole (three term test) = 2.98e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = -2.467770911890708 y[1] (numeric) = -2.467770911045082 absolute error = 8.456257916122922e-10 relative error = 3.426678657802994e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.74 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.74 Order of pole (three term test) = 9.21e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = -2.37037037037037 y[1] (numeric) = -2.370370369371125 absolute error = 9.992451310836259e-10 relative error = 4.215565396759047e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.75 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.75 Order of pole (three term test) = 7.076e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = -2.278028867181805 y[1] (numeric) = -2.278028866046373 absolute error = 1.135432192711505e-09 relative error = 4.984274822277257e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.76 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.76 Order of pole (three term test) = 5.406e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = -2.190422160062909 y[1] (numeric) = -2.190422158806552 absolute error = 1.256357240464467e-09 relative error = 5.735685400609647e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.77 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.77 Order of pole (three term test) = 4.107e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = -2.107250627960687 y[1] (numeric) = -2.107250626596791 absolute error = 1.363896551254129e-09 relative error = 6.472398361907495e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.78 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.78 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = -2.028237117144891 y[1] (numeric) = -2.028237115685215 absolute error = 1.459675935677751e-09 relative error = 7.196771636506229e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.79 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.79 Order of pole (three term test) = 9.329e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = -1.953125 y[1] (numeric) = -1.953124998454891 absolute error = 1.545108929690286e-09 relative error = 7.910957720014266e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.8 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8 Order of pole (three term test) = 3.488e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8100000000000001 y[1] (analytic) = -1.88167642315892 y[1] (numeric) = -1.8816764215375 absolute error = 1.621420331332502e-09 relative error = 8.616892423036761e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.81 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.81 Order of pole (three term test) = 5.191e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8200000000000001 y[1] (analytic) = -1.813670724452634 y[1] (numeric) = -1.813670722762953 absolute error = 1.689680839689345e-09 relative error = 9.316359452178349e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = -0.01 Radius of convergence (given) for eq 1 = 0.82 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.82 Order of pole (three term test) = 3.844e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8300000000000001 y[1] (analytic) = -1.748903000592878 y[1] (numeric) = -1.748902998842055 absolute error = 1.750822598012292e-09 relative error = 1.001097600849654e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.83 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.83 Order of pole (three term test) = 2.832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8400000000000001 y[1] (analytic) = -1.687182809631789 y[1] (numeric) = -1.687182807826128 absolute error = 1.805661398179836e-09 relative error = 1.070222733346782e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.84 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8500000000000001 y[1] (analytic) = -1.628332994097292 y[1] (numeric) = -1.628332992242382 absolute error = 1.854910225418394e-09 relative error = 1.139146742185071e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.85 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.85 Order of pole (three term test) = 6.068e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8600000000000001 y[1] (analytic) = -1.572188612323443 y[1] (numeric) = -1.572188610424247 absolute error = 1.899195689603062e-09 relative error = 1.207994813546165e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.86 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8700000000000001 y[1] (analytic) = -1.518595966912831 y[1] (numeric) = -1.518595964973763 absolute error = 1.939067573175635e-09 relative error = 1.276881814138875e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.87 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.87 Order of pole (three term test) = 3.193e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8800000000000001 y[1] (analytic) = -1.467411720510893 y[1] (numeric) = -1.467411718535885 absolute error = 1.975008379062615e-09 relative error = 1.345912910096559e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.88 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8900000000000001 y[1] (analytic) = -1.418502090162829 y[1] (numeric) = -1.418502088155384 absolute error = 2.007444876994668e-09 relative error = 1.415186407490055e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.89 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.89 Order of pole (three term test) = 3.304e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9000000000000001 y[1] (analytic) = -1.371742112482853 y[1] (numeric) = -1.371742110446101 absolute error = 2.036752100309513e-09 relative error = 1.484792281125636e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.9 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9 Order of pole (three term test) = 4.724e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9100000000000001 y[1] (analytic) = -1.327014972709937 y[1] (numeric) = -1.327014970646674 absolute error = 2.063262227736118e-09 relative error = 1.554814580217335e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.91 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.91 Order of pole (three term test) = 6.728e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9200000000000002 y[1] (analytic) = -1.284211391468726 y[1] (numeric) = -1.284211389381458 absolute error = 2.087268358152983e-09 relative error = 1.625330823273431e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.92 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.92 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9300000000000002 y[1] (analytic) = -1.243229063711759 y[1] (numeric) = -1.243229061602728 absolute error = 2.10903072783708e-09 relative error = 1.696413629150852e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.93 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.93 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9400000000000002 y[1] (analytic) = -1.203972144900455 y[1] (numeric) = -1.203972142771675 absolute error = 2.128780485222137e-09 relative error = 1.768131010537744e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.94 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.94 Order of pole (three term test) = 4.749e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9500000000000002 y[1] (analytic) = -1.166350779997083 y[1] (numeric) = -1.166350777850362 absolute error = 2.146721467255475e-09 relative error = 1.840545317988164e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.95 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.95 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9600000000000002 y[1] (analytic) = -1.130280671296296 y[1] (numeric) = -1.130280669133259 absolute error = 2.163036416646946e-09 relative error = 1.913716187118554e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.96 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.96 Order of pole (three term test) = 4.658e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9700000000000002 y[1] (analytic) = -1.095682681529967 y[1] (numeric) = -1.09568267935208 absolute error = 2.177887425958147e-09 relative error = 1.987699050711501e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.97 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.97 Order of pole (three term test) = 6.489e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9800000000000002 y[1] (analytic) = -1.06248246903926 y[1] (numeric) = -1.062482466847842 absolute error = 2.191418602137674e-09 relative error = 2.062545656983162e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.98 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.98 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9900000000000002 y[1] (analytic) = -1.030610152128364 y[1] (numeric) = -1.030610149924605 absolute error = 2.203759397190197e-09 relative error = 2.138305539334252e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = -0.01 Radius of convergence (given) for eq 1 = 0.99 Order of pole (given) = 4 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.99 Order of pole (three term test) = 6.234e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ; Iterations = 30 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 0 %