##############ECHO OF PROBLEM################# ##############temp/lin_tanhpostode.ode################# diff ( y , x , 1 ) = tanh ( 3.0 * x + 1.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=1.1; x_end=2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* 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(ln(cosh(3.0*x + 1.0))/3.0); } /* 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 = 0.8999999999999999 estimated_steps = 900000 step_error = 2.635231383473649e-15 est_needed_step_err = 2.635231383473649e-15 opt_iter = 1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 900000 step_error = 3.168458954023058e-15 est_needed_step_err = 3.168458954023058e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.565718975416627e-225 estimated_step_error = 4.565718975416627e-225 Double H and LOOP opt_iter = 2 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 450000 step_error = 4.48087762460188e-15 est_needed_step_err = 4.48087762460188e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.137537264133354e-214 estimated_step_error = 3.137537264133354e-214 Double H and LOOP opt_iter = 3 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 225000 step_error = 6.336917908046116e-15 est_needed_step_err = 6.336917908046116e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.15609791898744e-203 estimated_step_error = 2.15609791898744e-203 Double H and LOOP opt_iter = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 112500 step_error = 8.96175524920376e-15 est_needed_step_err = 8.96175524920376e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.481657460554953e-192 estimated_step_error = 1.481657460554953e-192 Double H and LOOP opt_iter = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 56250 step_error = 1.267383581609223e-14 est_needed_step_err = 1.267383581609223e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.018184852464881e-181 estimated_step_error = 1.018184852464881e-181 Double H and LOOP opt_iter = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 28125 step_error = 1.792351049840752e-14 est_needed_step_err = 1.792351049840752e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.996880023136947e-171 estimated_step_error = 6.996880023136947e-171 Double H and LOOP opt_iter = 7 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 14062.5 step_error = 2.534767163218446e-14 est_needed_step_err = 2.534767163218446e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.808173978498614e-160 estimated_step_error = 4.808173978498614e-160 Double H and LOOP opt_iter = 8 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 7031.25 step_error = 3.584702099681504e-14 est_needed_step_err = 3.584702099681504e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.304089656080091e-149 estimated_step_error = 3.304089656080091e-149 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 3515.625 step_error = 5.069534326436893e-14 est_needed_step_err = 5.069534326436893e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.270467443850138e-138 estimated_step_error = 2.270467443850138e-138 Double H and LOOP opt_iter = 10 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 1757.8125 step_error = 7.169404199363008e-14 est_needed_step_err = 7.169404199363008e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.560135602471466e-127 estimated_step_error = 1.560135602471466e-127 Double H and LOOP opt_iter = 11 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 878.90625 step_error = 1.013906865287379e-13 est_needed_step_err = 1.013906865287379e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.071955227319964e-116 estimated_step_error = 1.071955227319964e-116 Double H and LOOP opt_iter = 12 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 439.453125 step_error = 1.433880839872602e-13 est_needed_step_err = 1.433880839872602e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.364197404526034e-106 estimated_step_error = 7.364197404526034e-106 Double H and LOOP opt_iter = 13 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 219.7265625 step_error = 2.027813730574757e-13 est_needed_step_err = 2.027813730574757e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.057585278815116e-95 estimated_step_error = 5.057585278815116e-95 Double H and LOOP opt_iter = 14 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 1.20234563609611 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 1.20234563609611 desired_abs_gbl_error = 1.202345636096111e-10 range = 0.8999999999999999 estimated_steps = 109.86328125 step_error = 2.867761679745203e-13 est_needed_step_err = 2.867761679745203e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.471357165770607e-84 estimated_step_error = 3.471357165770607e-84 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 1.20234563609611 y[1] (numeric) = 1.20234563609611 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 1.212342062905879 y[1] (numeric) = 1.212342062905879 absolute error = 2.220446049250313e-16 relative error = 1.831534281610337e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 1.222338697767025 y[1] (numeric) = 1.222338697767025 absolute error = 2.220446049250313e-16 relative error = 1.816555471332648e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = 1.232335528567539 y[1] (numeric) = 1.232335528567539 absolute error = 2.220446049250313e-16 relative error = 1.801819389100426e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 1.242332543900312 y[1] (numeric) = 1.242332543900312 absolute error = 4.440892098500626e-16 relative error = 3.574640397456235e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 1.252329733022137 y[1] (numeric) = 1.252329733022138 absolute error = 4.440892098500626e-16 relative error = 3.546104497402462e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 1.262327085815092 y[1] (numeric) = 1.262327085815092 absolute error = 2.220446049250313e-16 relative error = 1.759010064983719e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = 1.272324592750161 y[1] (numeric) = 1.272324592750161 absolute error = 2.220446049250313e-16 relative error = 1.745188344155767e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 1.28232224485298 y[1] (numeric) = 1.28232224485298 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 1.292320033671564 y[1] (numeric) = 1.292320033671565 absolute error = 4.440892098500626e-16 relative error = 3.436371783143968e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 1.302317951245919 y[1] (numeric) = 1.302317951245919 absolute error = 2.220446049250313e-16 relative error = 1.704995348582908e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = 1.312315990079407 y[1] (numeric) = 1.312315990079407 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 1.32231414311179 y[1] (numeric) = 1.322314143111791 absolute error = 2.220446049250313e-16 relative error = 1.679212205977739e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 1.332312403693838 y[1] (numeric) = 1.332312403693838 absolute error = 2.220446049250313e-16 relative error = 1.666610656099968e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = 1.342310765563402 y[1] (numeric) = 1.342310765563402 absolute error = 2.220446049250313e-16 relative error = 1.654196707808073e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = 1.352309222822895 y[1] (numeric) = 1.352309222822895 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = 1.362307769918073 y[1] (numeric) = 1.362307769918072 absolute error = 2.220446049250313e-16 relative error = 1.629915132454869e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 1.372306401618049 y[1] (numeric) = 1.37230640161805 absolute error = 2.220446049250313e-16 relative error = 1.618039562179587e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 1.382305112996481 y[1] (numeric) = 1.382305112996481 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = 1.392303899413836 y[1] (numeric) = 1.392303899413835 absolute error = 2.220446049250313e-16 relative error = 1.594799849504931e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 1.402302756500702 y[1] (numeric) = 1.402302756500702 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 1.412301680142064 y[1] (numeric) = 1.412301680142064 absolute error = 2.220446049250313e-16 relative error = 1.57221794781619e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 1.422300666462496 y[1] (numeric) = 1.422300666462496 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 1.432299711812211 y[1] (numeric) = 1.432299711812211 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 1.442298812753932 y[1] (numeric) = 1.442298812753932 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 1.452297966050513 y[1] (numeric) = 1.452297966050513 absolute error = 2.220446049250313e-16 relative error = 1.528919065616238e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 1.462297168653296 y[1] (numeric) = 1.462297168653296 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 1.472296417691134 y[1] (numeric) = 1.472296417691134 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 1.482295710460057 y[1] (numeric) = 1.482295710460057 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = 1.49229504441354 y[1] (numeric) = 1.49229504441354 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 1.502294417153335 y[1] (numeric) = 1.502294417153335 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 1.512293826420842 y[1] (numeric) = 1.512293826420842 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 1.522293270088974 y[1] (numeric) = 1.522293270088974 absolute error = 2.220446049250313e-16 relative error = 1.458619106370045e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 1.532292746154502 y[1] (numeric) = 1.532292746154502 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = 1.542292252730846 y[1] (numeric) = 1.542292252730846 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 1.552291788041279 y[1] (numeric) = 1.552291788041279 absolute error = 2.220446049250313e-16 relative error = 1.430430841905134e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = 1.562291350412533 y[1] (numeric) = 1.562291350412533 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 1.572290938268776 y[1] (numeric) = 1.572290938268776 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 1.582290550125937 y[1] (numeric) = 1.582290550125936 absolute error = 2.220446049250313e-16 relative error = 1.403311199118003e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 1.592290184586364 y[1] (numeric) = 1.592290184586363 absolute error = 2.220446049250313e-16 relative error = 1.394498358869887e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = 1.602289840333792 y[1] (numeric) = 1.602289840333791 absolute error = 4.440892098500626e-16 relative error = 2.77159099852714e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 1.612289516128603 y[1] (numeric) = 1.612289516128603 absolute error = 2.220446049250313e-16 relative error = 1.377200575354483e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 1.622289210803367 y[1] (numeric) = 1.622289210803367 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 1.632288923258633 y[1] (numeric) = 1.632288923258633 absolute error = 2.220446049250313e-16 relative error = 1.360326604935545e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = 1.642288652458974 y[1] (numeric) = 1.642288652458974 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 1.652288397429258 y[1] (numeric) = 1.652288397429258 absolute error = 2.220446049250313e-16 relative error = 1.343861067296141e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 1.662288157251138 y[1] (numeric) = 1.662288157251138 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 1.672287931059745 y[1] (numeric) = 1.672287931059744 absolute error = 2.220446049250313e-16 relative error = 1.327789316665818e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 1.682287718040572 y[1] (numeric) = 1.682287718040572 absolute error = 2.220446049250313e-16 relative error = 1.31989672482217e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 1.692287517426546 y[1] (numeric) = 1.692287517426546 absolute error = 2.220446049250313e-16 relative error = 1.312097398571453e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 1.702287328495261 y[1] (numeric) = 1.702287328495261 absolute error = 2.220446049250313e-16 relative error = 1.304389695018807e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 1.71228715056638 y[1] (numeric) = 1.71228715056638 absolute error = 2.220446049250313e-16 relative error = 1.296772009598885e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 1.722286982999183 y[1] (numeric) = 1.722286982999183 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 1.732286825190263 y[1] (numeric) = 1.732286825190263 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 1.742286676571351 y[1] (numeric) = 1.742286676571351 absolute error = 2.220446049250313e-16 relative error = 1.274443568391358e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 1.75228653660727 y[1] (numeric) = 1.75228653660727 absolute error = 2.220446049250313e-16 relative error = 1.267170638398832e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 1.762286404794009 y[1] (numeric) = 1.762286404794008 absolute error = 4.440892098500626e-16 relative error = 2.519960482257546e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 1.772286280656906 y[1] (numeric) = 1.772286280656906 absolute error = 2.220446049250313e-16 relative error = 1.252870979979202e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 1.782286163748944 y[1] (numeric) = 1.782286163748943 absolute error = 2.220446049250313e-16 relative error = 1.245841489662762e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 1.792286053649134 y[1] (numeric) = 1.792286053649133 absolute error = 4.440892098500626e-16 relative error = 2.477780870670099e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 1.802285949961004 y[1] (numeric) = 1.802285949961004 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 1.812285852311171 y[1] (numeric) = 1.812285852311171 absolute error = 2.220446049250313e-16 relative error = 1.22521844245411e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 1.822285760347996 y[1] (numeric) = 1.822285760347996 absolute error = 2.220446049250313e-16 relative error = 1.218494978979741e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 1.832285673740316 y[1] (numeric) = 1.832285673740316 absolute error = 2.220446049250313e-16 relative error = 1.211844900100993e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 1.842285592176254 y[1] (numeric) = 1.842285592176254 absolute error = 4.440892098500626e-16 relative error = 2.410534022173344e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 1.852285515362095 y[1] (numeric) = 1.852285515362095 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 1.862285443021228 y[1] (numeric) = 1.862285443021228 absolute error = 4.440892098500626e-16 relative error = 2.384646303896392e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 1.872285374893151 y[1] (numeric) = 1.872285374893151 absolute error = 2.220446049250313e-16 relative error = 1.185954918532134e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 1.882285310732531 y[1] (numeric) = 1.882285310732531 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 1.892285250308325 y[1] (numeric) = 1.892285250308324 absolute error = 2.220446049250313e-16 relative error = 1.173420365078954e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 1.902285193402939 y[1] (numeric) = 1.902285193402939 absolute error = 2.220446049250313e-16 relative error = 1.167251922556484e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 1.912285139811457 y[1] (numeric) = 1.912285139811456 absolute error = 6.661338147750939e-16 relative error = 3.483443974473241e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 1.922285089340892 y[1] (numeric) = 1.922285089340891 absolute error = 6.661338147750939e-16 relative error = 3.465322695727179e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 1.932285041809496 y[1] (numeric) = 1.932285041809495 absolute error = 4.440892098500626e-16 relative error = 2.298259315997155e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 1.942284997046107 y[1] (numeric) = 1.942284997046107 absolute error = 4.440892098500626e-16 relative error = 2.286426608481498e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 1.95228495488953 y[1] (numeric) = 1.952284954889529 absolute error = 6.661338147750939e-16 relative error = 3.412072674671547e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 1.962284915187956 y[1] (numeric) = 1.962284915187955 absolute error = 6.661338147750939e-16 relative error = 3.394684480420056e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 1.972284877798417 y[1] (numeric) = 1.972284877798416 absolute error = 8.881784197001252e-16 relative error = 4.503296809188962e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 1.982284842586271 y[1] (numeric) = 1.982284842586271 absolute error = 4.440892098500626e-16 relative error = 2.240289590625447e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 1.992284809424718 y[1] (numeric) = 1.992284809424717 absolute error = 6.661338147750939e-16 relative error = 3.343567202961525e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 2.002284778194341 y[1] (numeric) = 2.00228477819434 absolute error = 1.332267629550188e-15 relative error = 6.653736991156802e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 2.012284748782676 y[1] (numeric) = 2.012284748782675 absolute error = 8.881784197001252e-16 relative error = 4.413781003098223e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 2.022284721083811 y[1] (numeric) = 2.02228472108381 absolute error = 1.332267629550188e-15 relative error = 6.587933022785143e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 2.032284694998 y[1] (numeric) = 2.032284694997998 absolute error = 1.332267629550188e-15 relative error = 6.555516718839921e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000001 y[1] (analytic) = 2.042284670431306 y[1] (numeric) = 2.042284670431305 absolute error = 8.881784197001252e-16 relative error = 4.348945240393704e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000001 y[1] (analytic) = 2.052284647295264 y[1] (numeric) = 2.052284647295263 absolute error = 1.332267629550188e-15 relative error = 6.491631808024304e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000001 y[1] (analytic) = 2.062284625506559 y[1] (numeric) = 2.062284625506558 absolute error = 1.332267629550188e-15 relative error = 6.460154011102822e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000001 y[1] (analytic) = 2.072284604986728 y[1] (numeric) = 2.072284604986726 absolute error = 1.332267629550188e-15 relative error = 6.428980007592734e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000001 y[1] (analytic) = 2.082284585661877 y[1] (numeric) = 2.082284585661876 absolute error = 1.332267629550188e-15 relative error = 6.398105420958643e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000001 y[1] (analytic) = 2.092284567462417 y[1] (numeric) = 2.092284567462416 absolute error = 8.881784197001252e-16 relative error = 4.245017305544311e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = tanh ( 3.0 * x + 1.0 ) ; Iterations = 90 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 101.1 %