##############ECHO OF PROBLEM################# ##############temp/add_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 + sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_h=0.001; 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(2.0 - cos(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 = 0.9 estimated_steps = 900000.0000000001 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 900000.0000000001 step_error = 2.911919702267009e-15 est_needed_step_err = 2.911919702267009e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513323e-258 estimated_step_error = 2.674790358513323e-258 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 450000.0000000001 step_error = 4.118076335487428e-15 est_needed_step_err = 4.118076335487428e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663098e-247 estimated_step_error = 1.838101935663098e-247 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 225000 step_error = 5.823839404534018e-15 est_needed_step_err = 5.823839404534018e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636665e-236 estimated_step_error = 1.263134028636665e-236 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 112500 step_error = 8.236152670974857e-15 est_needed_step_err = 8.236152670974857e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.68019090245767e-226 estimated_step_error = 8.68019090245767e-226 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 56250.00000000001 step_error = 1.164767880906804e-14 est_needed_step_err = 1.164767880906804e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152477e-215 estimated_step_error = 5.964981703152477e-215 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 28125 step_error = 1.647230534194971e-14 est_needed_step_err = 1.647230534194971e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878063e-204 estimated_step_error = 4.099104124878063e-204 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 14062.5 step_error = 2.329535761813607e-14 est_needed_step_err = 2.329535761813607e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259633e-193 estimated_step_error = 2.816882783259633e-193 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 = 1.104995834721974 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.104995834721974 desired_abs_gbl_error = 1.104995834721974e-10 range = 0.9 estimated_steps = 7031.250000000001 step_error = 3.294461068389943e-14 est_needed_step_err = 3.294461068389943e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941988e-182 estimated_step_error = 1.935746940941988e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.104995834721974 y[1] (numeric) = 1.104995834721974 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.000128 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] = 0.1101120000000003 y[1] (analytic) = 1.116168203447064 y[1] (numeric) = 1.116168203447064 absolute error = 2.220446049250313e-16 relative error = 1.989347163261689e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 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] = 0.1200960000000005 y[1] (analytic) = 1.127298861092878 y[1] (numeric) = 1.127298861092878 absolute error = 8.881784197001252e-16 relative error = 7.878819453778797e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 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] = 0.1300800000000002 y[1] (analytic) = 1.138528480189609 y[1] (numeric) = 1.138528480189607 absolute error = 1.332267629550188e-15 relative error = 1.170166274038498e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.1400639999999994 y[1] (analytic) = 1.149856936574655 y[1] (numeric) = 1.149856936574656 absolute error = 2.220446049250313e-16 relative error = 1.931062881496257e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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] = 0.1500479999999985 y[1] (analytic) = 1.161284096233376 y[1] (numeric) = 1.161284096233377 absolute error = 1.110223024625157e-15 relative error = 9.56030508147114e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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] = 0.1600319999999977 y[1] (analytic) = 1.172809815312442 y[1] (numeric) = 1.172809815312444 absolute error = 2.664535259100376e-15 relative error = 2.271924419724039e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.1700159999999968 y[1] (analytic) = 1.184433940134175 y[1] (numeric) = 1.184433940134179 absolute error = 3.552713678800501e-15 relative error = 2.999503440772764e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.180127999999996 y[1] (analytic) = 1.196307231056857 y[1] (numeric) = 1.196307231056862 absolute error = 4.440892098500626e-15 relative error = 3.712166894266279e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.1901119999999951 y[1] (analytic) = 1.208128923238048 y[1] (numeric) = 1.208128923238053 absolute error = 5.551115123125783e-15 relative error = 4.594803597820993e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2000959999999943 y[1] (analytic) = 1.220048498930625 y[1] (numeric) = 1.220048498930633 absolute error = 8.215650382226158e-15 relative error = 6.733871964456488e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2100799999999935 y[1] (analytic) = 1.232065765197513 y[1] (numeric) = 1.232065765197522 absolute error = 9.325873406851315e-15 relative error = 7.569298385103885e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2200639999999926 y[1] (analytic) = 1.244180519363891 y[1] (numeric) = 1.244180519363901 absolute error = 1.021405182655144e-14 relative error = 8.209461302105543e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2300479999999918 y[1] (analytic) = 1.256392549037404 y[1] (numeric) = 1.256392549037415 absolute error = 1.088018564132653e-14 relative error = 8.659861640903936e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2400319999999909 y[1] (analytic) = 1.268701632129329 y[1] (numeric) = 1.26870163212934 absolute error = 1.154631945610163e-14 relative error = 9.100894303038638e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2500159999999901 y[1] (analytic) = 1.281107536876712 y[1] (numeric) = 1.281107536876724 absolute error = 1.199040866595169e-14 relative error = 9.359408418737292e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2601279999999915 y[1] (analytic) = 1.293770936092695 y[1] (numeric) = 1.293770936092706 absolute error = 1.06581410364015e-14 relative error = 8.238043334463865e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2701119999999928 y[1] (analytic) = 1.306370983599718 y[1] (numeric) = 1.306370983599727 absolute error = 8.659739592076221e-15 relative error = 6.628851758643799e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2800959999999941 y[1] (analytic) = 1.319067096259986 y[1] (numeric) = 1.319067096259994 absolute error = 7.771561172376096e-15 relative error = 5.891710281009338e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.2900799999999955 y[1] (analytic) = 1.331859003731661 y[1] (numeric) = 1.331859003731666 absolute error = 5.10702591327572e-15 relative error = 3.834509433030546e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3000639999999968 y[1] (analytic) = 1.344746426124132 y[1] (numeric) = 1.344746426124136 absolute error = 4.218847493575595e-15 relative error = 3.137281060292743e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3100479999999981 y[1] (analytic) = 1.357729074025916 y[1] (numeric) = 1.357729074025918 absolute error = 2.220446049250313e-15 relative error = 1.635411726631354e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3200319999999994 y[1] (analytic) = 1.370806648533505 y[1] (numeric) = 1.370806648533505 absolute error = 2.220446049250313e-16 relative error = 1.619809804413887e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 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] = 0.3300160000000008 y[1] (analytic) = 1.383978841281162 y[1] (numeric) = 1.383978841281159 absolute error = 2.442490654175344e-15 relative error = 1.764832366883809e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3400000000000021 y[1] (analytic) = 1.397245334471656 y[1] (numeric) = 1.397245334471651 absolute error = 5.10702591327572e-15 relative error = 3.655067429662846e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3501120000000034 y[1] (analytic) = 1.410777697598726 y[1] (numeric) = 1.410777697598719 absolute error = 6.439293542825908e-15 relative error = 4.56435734261052e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3600960000000047 y[1] (analytic) = 1.424232998961027 y[1] (numeric) = 1.424232998961019 absolute error = 8.215650382226158e-15 relative error = 5.768473549074799e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3700800000000061 y[1] (analytic) = 1.437781586611948 y[1] (numeric) = 1.437781586611937 absolute error = 1.06581410364015e-14 relative error = 7.412906894653464e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3800640000000074 y[1] (analytic) = 1.451423105235431 y[1] (numeric) = 1.451423105235419 absolute error = 1.243449787580175e-14 relative error = 8.567107572526061e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.3900480000000087 y[1] (analytic) = 1.465157190252113 y[1] (numeric) = 1.465157190252099 absolute error = 1.443289932012704e-14 relative error = 9.850751452575222e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 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] = 0.40003200000001 y[1] (analytic) = 1.478983467855664 y[1] (numeric) = 1.478983467855647 absolute error = 1.665334536937735e-14 relative error = 1.125999426722637e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4100160000000114 y[1] (analytic) = 1.49290155505005 y[1] (numeric) = 1.492901555050031 absolute error = 1.909583602355269e-14 relative error = 1.279108857443216e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4200000000000127 y[1] (analytic) = 1.50691105968771 y[1] (numeric) = 1.506911059687689 absolute error = 2.087219286295294e-14 relative error = 1.385097861533943e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.430112000000014 y[1] (analytic) = 1.521192945555943 y[1] (numeric) = 1.521192945555919 absolute error = 2.331468351712829e-14 relative error = 1.532657877834662e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4400960000000154 y[1] (analytic) = 1.535385231137738 y[1] (numeric) = 1.535385231137713 absolute error = 2.442490654175344e-14 relative error = 1.590799888289554e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4500800000000167 y[1] (analytic) = 1.549667697771469 y[1] (numeric) = 1.549667697771443 absolute error = 2.597921877622866e-14 relative error = 1.676438039819027e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.460064000000018 y[1] (analytic) = 1.564039916988443 y[1] (numeric) = 1.564039916988414 absolute error = 2.886579864025407e-14 relative error = 1.845592195360022e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4700480000000193 y[1] (analytic) = 1.578501451373476 y[1] (numeric) = 1.578501451373446 absolute error = 2.930988785010413e-14 relative error = 1.856817288612639e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.4800320000000207 y[1] (analytic) = 1.593051854608502 y[1] (numeric) = 1.593051854608472 absolute error = 3.064215547965432e-14 relative error = 1.923487637330219e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.490016000000022 y[1] (analytic) = 1.60769067151706 y[1] (numeric) = 1.607690671517028 absolute error = 3.241851231905457e-14 relative error = 2.016464540934581e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5000000000000233 y[1] (analytic) = 1.622417438109662 y[1] (numeric) = 1.622417438109628 absolute error = 3.397282455352979e-14 relative error = 2.093963227682808e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5101120000000247 y[1] (analytic) = 1.637422173679675 y[1] (numeric) = 1.637422173679639 absolute error = 3.597122599785507e-14 relative error = 2.196820500910844e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.520096000000026 y[1] (analytic) = 1.65232452481446 y[1] (numeric) = 1.652324524814422 absolute error = 3.774758283725532e-14 relative error = 2.284513863370394e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5300800000000273 y[1] (analytic) = 1.667313374913516 y[1] (numeric) = 1.667313374913476 absolute error = 4.019007349143067e-14 relative error = 2.410469087343304e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5400640000000286 y[1] (analytic) = 1.68238822509625 y[1] (numeric) = 1.682388225096207 absolute error = 4.285460875053104e-14 relative error = 2.547248495398814e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.55004800000003 y[1] (analytic) = 1.697548567909627 y[1] (numeric) = 1.697548567909583 absolute error = 4.463096558993129e-14 relative error = 2.629142189721863e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5600320000000313 y[1] (analytic) = 1.712793887378757 y[1] (numeric) = 1.712793887378711 absolute error = 4.529709940470639e-14 relative error = 2.644632243172506e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5700160000000326 y[1] (analytic) = 1.728123659058324 y[1] (numeric) = 1.728123659058276 absolute error = 4.796163466380676e-14 relative error = 2.775358951450363e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5800000000000339 y[1] (analytic) = 1.743537350084865 y[1] (numeric) = 1.743537350084817 absolute error = 4.884981308350689e-14 relative error = 2.801764647091108e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.5901120000000353 y[1] (analytic) = 1.759233638545987 y[1] (numeric) = 1.759233638545937 absolute error = 5.062616992290714e-14 relative error = 2.877739989371158e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6000960000000366 y[1] (analytic) = 1.774814594570888 y[1] (numeric) = 1.774814594570836 absolute error = 5.218048215738236e-14 relative error = 2.940052573209681e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6100800000000379 y[1] (analytic) = 1.790477814174213 y[1] (numeric) = 1.790477814174159 absolute error = 5.395683899678261e-14 relative error = 3.013544126022476e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6200640000000393 y[1] (analytic) = 1.8062227312546 y[1] (numeric) = 1.806222731254544 absolute error = 5.573319583618286e-14 relative error = 3.085621439249115e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6300480000000406 y[1] (analytic) = 1.822048771567131 y[1] (numeric) = 1.822048771567074 absolute error = 5.684341886080801e-14 relative error = 3.11975287093536e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6400320000000419 y[1] (analytic) = 1.837955352780568 y[1] (numeric) = 1.837955352780508 absolute error = 5.972999872483342e-14 relative error = 3.249806837498547e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6500160000000432 y[1] (analytic) = 1.853941884535404 y[1] (numeric) = 1.853941884535341 absolute error = 6.261657858885883e-14 relative error = 3.377483356472659e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6600000000000446 y[1] (analytic) = 1.870007768502707 y[1] (numeric) = 1.870007768502642 absolute error = 6.505906924303417e-14 relative error = 3.479080158855501e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6701120000000459 y[1] (analytic) = 1.886359889465757 y[1] (numeric) = 1.886359889465692 absolute error = 6.52811138479592e-14 relative error = 3.460692427384454e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6800960000000472 y[1] (analytic) = 1.902583648962417 y[1] (numeric) = 1.90258364896235 absolute error = 6.750155989720952e-14 relative error = 3.547889204977758e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.6900800000000485 y[1] (analytic) = 1.918884910445483 y[1] (numeric) = 1.918884910445415 absolute error = 6.861178292183467e-14 relative error = 3.575606986554808e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7000640000000499 y[1] (analytic) = 1.935263044213945 y[1] (numeric) = 1.935263044213875 absolute error = 7.083222897108499e-14 relative error = 3.660082756339475e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7100480000000512 y[1] (analytic) = 1.951717412904206 y[1] (numeric) = 1.951717412904133 absolute error = 7.327471962526033e-14 relative error = 3.754371362410793e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7200320000000525 y[1] (analytic) = 1.968247371553616 y[1] (numeric) = 1.96824737155354 absolute error = 7.571721027943568e-14 relative error = 3.84693567352101e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7300160000000538 y[1] (analytic) = 1.984852267664761 y[1] (numeric) = 1.984852267664683 absolute error = 7.793765632868599e-14 relative error = 3.926622529967029e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7400000000000552 y[1] (analytic) = 2.001531441270505 y[1] (numeric) = 2.001531441270423 absolute error = 8.126832540256146e-14 relative error = 4.060307209112592e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7501120000000565 y[1] (analytic) = 2.01849947925639 y[1] (numeric) = 2.018499479256306 absolute error = 8.304468224196171e-14 relative error = 4.114179027311673e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7600960000000578 y[1] (analytic) = 2.035326129057866 y[1] (numeric) = 2.03532612905778 absolute error = 8.615330671091215e-14 relative error = 4.232899360987997e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7700800000000592 y[1] (analytic) = 2.052225023505502 y[1] (numeric) = 2.052225023505413 absolute error = 8.881784197001252e-14 relative error = 4.327880273981778e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7800640000000605 y[1] (analytic) = 2.069195473326575 y[1] (numeric) = 2.069195473326486 absolute error = 8.926193117986259e-14 relative error = 4.313847209242113e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.7900480000000618 y[1] (analytic) = 2.086236782115762 y[1] (numeric) = 2.08623678211567 absolute error = 9.192646643896296e-14 relative error = 4.406329484121908e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8000320000000631 y[1] (analytic) = 2.103348246404562 y[1] (numeric) = 2.103348246404467 absolute error = 9.459100169806334e-14 relative error = 4.497163123593825e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8100160000000645 y[1] (analytic) = 2.120529155731409 y[1] (numeric) = 2.120529155731312 absolute error = 9.769962616701378e-14 relative error = 4.607322936492019e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8200000000000658 y[1] (analytic) = 2.1377787927125 y[1] (numeric) = 2.137778792712402 absolute error = 9.769962616701378e-14 relative error = 4.57014666344634e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8301120000000671 y[1] (analytic) = 2.155318892475062 y[1] (numeric) = 2.155318892474962 absolute error = 9.992007221626409e-14 relative error = 4.635976261569388e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8400960000000685 y[1] (analytic) = 2.172704662973887 y[1] (numeric) = 2.172704662973784 absolute error = 1.030286966852145e-13 relative error = 4.741955887561547e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8500800000000698 y[1] (analytic) = 2.190156958659433 y[1] (numeric) = 2.190156958659326 absolute error = 1.074695887837152e-13 relative error = 4.90693547596223e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8600640000000711 y[1] (analytic) = 2.207675035096257 y[1] (numeric) = 2.207675035096147 absolute error = 1.096900348329655e-13 relative error = 4.968577036437922e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8700480000000724 y[1] (analytic) = 2.22525814129193 y[1] (numeric) = 2.225258141291818 absolute error = 1.114663916723657e-13 relative error = 5.009144314719868e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8800320000000738 y[1] (analytic) = 2.242905519771892 y[1] (numeric) = 2.242905519771777 absolute error = 1.150191053511662e-13 relative error = 5.128129755677978e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.8900160000000751 y[1] (analytic) = 2.260616406654961 y[1] (numeric) = 2.260616406654845 absolute error = 1.163513729807164e-13 relative error = 5.146887045417925e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9000000000000764 y[1] (analytic) = 2.278390031729472 y[1] (numeric) = 2.278390031729353 absolute error = 1.185718190299667e-13 relative error = 5.204193196893583e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9101120000000777 y[1] (analytic) = 2.296454678779401 y[1] (numeric) = 2.29645467877928 absolute error = 1.216804434989172e-13 relative error = 5.298621593681616e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9200960000000791 y[1] (analytic) = 2.314352223903705 y[1] (numeric) = 2.314352223903579 absolute error = 1.256772463875677e-13 relative error = 5.430342239591482e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9300800000000804 y[1] (analytic) = 2.332310149221118 y[1] (numeric) = 2.332310149220989 absolute error = 1.283417816466681e-13 relative error = 5.502775078585849e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9400640000000817 y[1] (analytic) = 2.350327659895326 y[1] (numeric) = 2.350327659895198 absolute error = 1.283417816466681e-13 relative error = 5.460591041692626e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.950048000000083 y[1] (analytic) = 2.368403955150581 y[1] (numeric) = 2.36840395515045 absolute error = 1.310063169057685e-13 relative error = 5.531417755863325e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9600320000000844 y[1] (analytic) = 2.38653822835152 y[1] (numeric) = 2.386538228351387 absolute error = 1.327826737451687e-13 relative error = 5.563819266238495e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9700160000000857 y[1] (analytic) = 2.404729667083573 y[1] (numeric) = 2.404729667083439 absolute error = 1.341149413747189e-13 relative error = 5.577131733787436e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.980000000000087 y[1] (analytic) = 2.422977453233942 y[1] (numeric) = 2.422977453233805 absolute error = 1.367794766338193e-13 relative error = 5.64509902687126e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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] = 0.9901120000000884 y[1] (analytic) = 2.441515777769365 y[1] (numeric) = 2.441515777769226 absolute error = 1.385558334732195e-13 relative error = 5.674992344297193e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 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 ) = 1.0 + sin ( x ) ; Iterations = 7032 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100 %