##############ECHO OF PROBLEM################# ##############temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; 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(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 = 4.9 estimated_steps = 4900000.000000001 step_error = 1.129384878631564e-15 est_needed_step_err = 1.129384878631564e-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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 1.129384878631564e-15 est_needed_step_err = 1.129384878631564e-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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 2450000 step_error = 1.59719141249985e-15 est_needed_step_err = 1.59719141249985e-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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 1225000 step_error = 2.258769757263128e-15 est_needed_step_err = 2.258769757263128e-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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 612500.0000000001 step_error = 3.194382824999699e-15 est_needed_step_err = 3.194382824999699e-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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 306250.0000000001 step_error = 4.517539514526256e-15 est_needed_step_err = 4.517539514526256e-15 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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 153125 step_error = 6.388765649999399e-15 est_needed_step_err = 6.388765649999399e-15 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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 76562.50000000001 step_error = 9.035079029052511e-15 est_needed_step_err = 9.035079029052511e-15 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 = 0.9049958347219743 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 38281.25000000001 step_error = 1.27775312999988e-14 est_needed_step_err = 1.27775312999988e-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] (closed_form) = 0.9049958347219743 y[1] (numeric) = 0.9049958347219743 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 14 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] (closed_form) = 0.8959442034470637 y[1] (numeric) = 0.8959442034470632 absolute error = 5.551115123125783e-16 relative error = 6.195826817974124e-14 % 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] = 0.1200960000000005 y[1] (closed_form) = 0.8871068610928775 y[1] (numeric) = 0.8871068610928776 absolute error = 1.110223024625157e-16 relative error = 1.251509906323359e-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] (closed_form) = 0.8783684801896083 y[1] (numeric) = 0.8783684801896083 absolute error = 0 relative error = 0 % 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] = 0.1400639999999994 y[1] (closed_form) = 0.8697289365746568 y[1] (numeric) = 0.8697289365746553 absolute error = 1.443289932012704e-15 relative error = 1.659470981495638e-13 % Desired digits = 10 Estimated correct digits = 12 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] = 0.1500479999999985 y[1] (closed_form) = 0.8611880962333792 y[1] (numeric) = 0.861188096233377 absolute error = 2.220446049250313e-15 relative error = 2.578351998781669e-13 % Desired digits = 10 Estimated correct digits = 12 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] = 0.1600319999999977 y[1] (closed_form) = 0.8527458153124461 y[1] (numeric) = 0.852745815312443 absolute error = 3.108624468950438e-15 relative error = 3.645429169079462e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8444019401341816 y[1] (numeric) = 0.844401940134178 absolute error = 3.552713678800501e-15 relative error = 4.207372709536822e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8360512310568654 y[1] (numeric) = 0.8360512310568613 absolute error = 4.107825191113079e-15 relative error = 4.913365399773783e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8279049232380573 y[1] (numeric) = 0.8279049232380526 absolute error = 4.662936703425657e-15 relative error = 5.632212797078473e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8198564989306367 y[1] (numeric) = 0.8198564989306314 absolute error = 5.329070518200751e-15 relative error = 6.500003994786425e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8119057651975258 y[1] (numeric) = 0.8119057651975197 absolute error = 6.106226635438361e-15 relative error = 7.520856356960093e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.8040525193639058 y[1] (numeric) = 0.8040525193638998 absolute error = 5.995204332975845e-15 relative error = 7.456234746604256e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7962965490374205 y[1] (numeric) = 0.7962965490374141 absolute error = 6.439293542825908e-15 relative error = 8.086552115050426e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7886376321293467 y[1] (numeric) = 0.7886376321293393 absolute error = 7.327471962526033e-15 relative error = 9.291303970293207e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7810755368767314 y[1] (numeric) = 0.7810755368767236 absolute error = 7.771561172376096e-15 relative error = 9.94982022283281e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7735149360927123 y[1] (numeric) = 0.7735149360927055 absolute error = 6.772360450213455e-15 relative error = 8.75530663237475e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7661469835997325 y[1] (numeric) = 0.7661469835997273 absolute error = 5.218048215738236e-15 relative error = 6.810766507519611e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7588750962599982 y[1] (numeric) = 0.7588750962599938 absolute error = 4.329869796038111e-15 relative error = 5.705642229369791e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7516990037316704 y[1] (numeric) = 0.7516990037316668 absolute error = 3.663735981263017e-15 relative error = 4.873940184934499e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7446184261241386 y[1] (numeric) = 0.7446184261241362 absolute error = 2.442490654175344e-15 relative error = 3.280190992437442e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7376330740259198 y[1] (numeric) = 0.737633074025918 absolute error = 1.77635683940025e-15 relative error = 2.408184911917101e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.730742648533506 y[1] (numeric) = 0.7307426485335051 absolute error = 8.881784197001252e-16 relative error = 1.215446260708294e-13 % Desired digits = 10 Estimated correct digits = 12 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] = 0.3300160000000008 y[1] (closed_form) = 0.72394684128116 y[1] (numeric) = 0.7239468412811607 absolute error = 6.661338147750939e-16 relative error = 9.201418899711543e-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] = 0.3400000000000021 y[1] (closed_form) = 0.7172453344716523 y[1] (numeric) = 0.717245334471654 absolute error = 1.665334536937735e-15 relative error = 2.321847848845859e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7105536975987191 y[1] (numeric) = 0.7105536975987212 absolute error = 2.109423746787797e-15 relative error = 2.968704200564278e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.7040409989610171 y[1] (numeric) = 0.7040409989610199 absolute error = 2.775557561562891e-15 relative error = 3.942323764750772e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6976215866119356 y[1] (numeric) = 0.6976215866119394 absolute error = 3.774758283725532e-15 relative error = 5.410896618119285e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6912951052354165 y[1] (numeric) = 0.6912951052354208 absolute error = 4.329869796038111e-15 relative error = 6.263417407770591e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6850611902520957 y[1] (numeric) = 0.685061190252101 absolute error = 5.329070518200751e-15 relative error = 7.778970103735853e-13 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6789194678556437 y[1] (numeric) = 0.6789194678556499 absolute error = 6.217248937900877e-15 relative error = 9.15756467779302e-13 % Desired digits = 10 Estimated correct digits = 12 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] = 0.4100160000000114 y[1] (closed_form) = 0.6728695550500271 y[1] (numeric) = 0.6728695550500339 absolute error = 6.772360450213455e-15 relative error = 1.006489355832118e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.666911059687684 y[1] (numeric) = 0.6669110596876918 absolute error = 7.771561172376096e-15 relative error = 1.165306986514144e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6609689455559145 y[1] (numeric) = 0.6609689455559224 absolute error = 7.993605777301127e-15 relative error = 1.209376905079561e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6551932311377071 y[1] (numeric) = 0.6551932311377162 absolute error = 9.103828801926284e-15 relative error = 1.389487615144922e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.649507697771436 y[1] (numeric) = 0.6495076977714462 absolute error = 1.021405182655144e-14 relative error = 1.572583644750859e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6439119169884067 y[1] (numeric) = 0.6439119169884173 absolute error = 1.06581410364015e-14 relative error = 1.655217236271991e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.638405451373437 y[1] (numeric) = 0.6384054513734477 absolute error = 1.076916333886402e-14 relative error = 1.686884614737503e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6329878546084609 y[1] (numeric) = 0.6329878546084724 absolute error = 1.154631945610163e-14 relative error = 1.824098104258839e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.627658671517016 y[1] (numeric) = 0.6276586715170281 absolute error = 1.210143096841421e-14 relative error = 1.928027368627876e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.622417438109615 y[1] (numeric) = 0.6224174381096277 absolute error = 1.265654248072678e-14 relative error = 2.033449210415248e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6171981736796263 y[1] (numeric) = 0.6171981736796394 absolute error = 1.310063169057685e-14 relative error = 2.122597287103622e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6121325248144075 y[1] (numeric) = 0.6121325248144214 absolute error = 1.387778780781446e-14 relative error = 2.267121455770066e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6071533749134613 y[1] (numeric) = 0.607153374913476 absolute error = 1.465494392505207e-14 relative error = 2.413713656313096e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.6022602250961927 y[1] (numeric) = 0.6022602250962079 absolute error = 1.521005543736464e-14 relative error = 2.525495592031717e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5974525679095671 y[1] (numeric) = 0.5974525679095832 absolute error = 1.609823385706477e-14 relative error = 2.694478979878025e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5927298873786943 y[1] (numeric) = 0.5927298873787112 absolute error = 1.69864122767649e-14 relative error = 2.865793110566112e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5880916590582591 y[1] (numeric) = 0.5880916590582768 absolute error = 1.765254609153999e-14 relative error = 3.001665781114444e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5835373500847977 y[1] (numeric) = 0.5835373500848162 absolute error = 1.854072451124011e-14 relative error = 3.177298678232994e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5790096385459169 y[1] (numeric) = 0.579009638545936 absolute error = 1.909583602355269e-14 relative error = 3.298016950375576e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.574622594570815 y[1] (numeric) = 0.574622594570835 absolute error = 1.998401444325282e-14 relative error = 3.477763428042515e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.570317814174137 y[1] (numeric) = 0.5703178141741574 absolute error = 2.042810365310288e-14 relative error = 3.581880689223132e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5660947312545217 y[1] (numeric) = 0.5660947312545421 absolute error = 2.042810365310288e-14 relative error = 3.608601621822586e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5619527715670494 y[1] (numeric) = 0.5619527715670701 absolute error = 2.076117056049043e-14 relative error = 3.69446893243293e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5578913527804839 y[1] (numeric) = 0.5578913527805054 absolute error = 2.153832667772804e-14 relative error = 3.860666879022737e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5539098845353172 y[1] (numeric) = 0.5539098845353396 absolute error = 2.242650509742816e-14 relative error = 4.048764198573938e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5500077685026177 y[1] (numeric) = 0.5500077685026409 absolute error = 2.320366121466577e-14 relative error = 4.218787905093987e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5461358894656655 y[1] (numeric) = 0.5461358894656893 absolute error = 2.375877272697835e-14 relative error = 4.350340855684053e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5423916489623227 y[1] (numeric) = 0.542391648962347 absolute error = 2.431388423929093e-14 relative error = 4.482717292164632e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5387249104453863 y[1] (numeric) = 0.5387249104454112 absolute error = 2.486899575160351e-14 relative error = 4.616269875295589e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.5351350442138457 y[1] (numeric) = 0.5351350442138705 absolute error = 2.475797344914099e-14 relative error = 4.626490774027394e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.531621412904104 y[1] (numeric) = 0.5316214129041289 absolute error = 2.486899575160351e-14 relative error = 4.677952232162905e-12 % Desired digits = 10 Estimated correct digits = 12 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] (closed_form) = 0.528183371553511 y[1] (numeric) = 0.528183371553536 absolute error = 2.498001805406602e-14 relative error = 4.729421522793105e-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] (closed_form) = 0.5248202676646535 y[1] (numeric) = 0.5248202676646786 absolute error = 2.509104035652854e-14 relative error = 4.780882504438845e-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] (closed_form) = 0.5215314412703941 y[1] (numeric) = 0.5215314412704196 absolute error = 2.55351295663786e-14 relative error = 4.896182194534196e-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] (closed_form) = 0.5182754792562767 y[1] (numeric) = 0.5182754792563027 absolute error = 2.597921877622866e-14 relative error = 5.012627418435605e-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] (closed_form) = 0.5151341290577502 y[1] (numeric) = 0.5151341290577762 absolute error = 2.597921877622866e-14 relative error = 5.043195026458091e-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] (closed_form) = 0.5120650235053836 y[1] (numeric) = 0.5120650235054101 absolute error = 2.642330798607873e-14 relative error = 5.160147007346016e-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] (closed_form) = 0.5090674733264537 y[1] (numeric) = 0.5090674733264804 absolute error = 2.664535259100376e-14 relative error = 5.234149496311794e-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] (closed_form) = 0.5061407821156387 y[1] (numeric) = 0.5061407821156654 absolute error = 2.664535259100376e-14 relative error = 5.264415263995868e-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] (closed_form) = 0.5032842464044356 y[1] (numeric) = 0.5032842464044627 absolute error = 2.708944180085382e-14 relative error = 5.382533229360201e-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] (closed_form) = 0.5004971557312805 y[1] (numeric) = 0.500497155731308 absolute error = 2.753353101070388e-14 relative error = 5.501236259869332e-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] (closed_form) = 0.4977787927123687 y[1] (numeric) = 0.4977787927123968 absolute error = 2.808864252301646e-14 relative error = 5.642796144440591e-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] (closed_form) = 0.4950948924749276 y[1] (numeric) = 0.4950948924749561 absolute error = 2.858824288409778e-14 relative error = 5.774295658997439e-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] (closed_form) = 0.4925126629737505 y[1] (numeric) = 0.4925126629737794 absolute error = 2.892130979148533e-14 relative error = 5.872196182096287e-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] (closed_form) = 0.4899969586592935 y[1] (numeric) = 0.4899969586593227 absolute error = 2.925437669887287e-14 relative error = 5.970318015629591e-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] (closed_form) = 0.487547035096115 y[1] (numeric) = 0.4875470350961446 absolute error = 2.964295475749168e-14 relative error = 6.080019490149883e-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] (closed_form) = 0.4851621412917849 y[1] (numeric) = 0.4851621412918148 absolute error = 2.986499936241671e-14 relative error = 6.155673912003654e-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] (closed_form) = 0.4828415197717447 y[1] (numeric) = 0.4828415197717747 absolute error = 2.997602166487923e-14 relative error = 6.208252695221797e-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] (closed_form) = 0.4805844066548112 y[1] (numeric) = 0.4805844066548411 absolute error = 2.997602166487923e-14 relative error = 6.237410379902332e-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] (closed_form) = 0.4783900317293192 y[1] (numeric) = 0.4783900317293495 absolute error = 3.030908857226677e-14 relative error = 6.335643839129188e-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] (closed_form) = 0.4762306787792459 y[1] (numeric) = 0.4762306787792767 absolute error = 3.080868893334809e-14 relative error = 6.469278504342072e-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] (closed_form) = 0.4741602239035465 y[1] (numeric) = 0.4741602239035778 absolute error = 3.130828929442941e-14 relative error = 6.602892380276532e-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] (closed_form) = 0.4721501492209568 y[1] (numeric) = 0.4721501492209884 absolute error = 3.164135620181696e-14 relative error = 6.70154531435072e-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] (closed_form) = 0.4701996598951625 y[1] (numeric) = 0.4701996598951943 absolute error = 3.175237850427948e-14 relative error = 6.752956501788858e-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] (closed_form) = 0.4683079551504148 y[1] (numeric) = 0.4683079551504467 absolute error = 3.191891195797325e-14 relative error = 6.815795377151192e-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] (closed_form) = 0.4664742283513514 y[1] (numeric) = 0.4664742283513836 absolute error = 3.219646771412954e-14 relative error = 6.902089281099351e-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] (closed_form) = 0.4646976670834018 y[1] (numeric) = 0.4646976670834342 absolute error = 3.241851231905457e-14 relative error = 6.976258891619581e-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] (closed_form) = 0.4629774532337678 y[1] (numeric) = 0.4629774532338002 absolute error = 3.241851231905457e-14 relative error = 7.002179499805086e-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] (closed_form) = 0.4612917777691882 y[1] (numeric) = 0.4612917777692205 absolute error = 3.236300116782331e-14 relative error = 7.015733366055455e-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] = 1.00009600000009 y[1] (closed_form) = 0.4596824778359767 y[1] (numeric) = 0.4596824778360091 absolute error = 3.241851231905457e-14 relative error = 7.052370686755239e-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] = 1.010080000000082 y[1] (closed_form) = 0.4581270268750834 y[1] (numeric) = 0.458127026875115 absolute error = 3.153033389935445e-14 relative error = 6.882443525418062e-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] = 1.020064000000075 y[1] (closed_form) = 0.4566245847335604 y[1] (numeric) = 0.4566245847335907 absolute error = 3.036459972349803e-14 relative error = 6.6497952012846e-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] = 1.030048000000068 y[1] (closed_form) = 0.4551743059745716 y[1] (numeric) = 0.4551743059746011 absolute error = 2.942091015256665e-14 relative error = 6.463657936397282e-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] = 1.04003200000006 y[1] (closed_form) = 0.4537753399616651 y[1] (numeric) = 0.4537753399616936 absolute error = 2.847722058163527e-14 relative error = 6.275621011939745e-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] = 1.050016000000053 y[1] (closed_form) = 0.452426830943564 y[1] (numeric) = 0.4524268309435914 absolute error = 2.747801985947262e-14 relative error = 6.073472654609261e-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] = 1.060000000000046 y[1] (closed_form) = 0.4511279181394665 y[1] (numeric) = 0.4511279181394933 absolute error = 2.675637489346627e-14 relative error = 5.930995138543946e-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] = 1.070112000000038 y[1] (closed_form) = 0.4498620204390738 y[1] (numeric) = 0.4498620204390993 absolute error = 2.559064071760986e-14 relative error = 5.688553279655151e-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] = 1.080096000000031 y[1] (closed_form) = 0.4486603059474683 y[1] (numeric) = 0.4486603059474931 absolute error = 2.475797344914099e-14 relative error = 5.518200099484574e-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] = 1.090080000000023 y[1] (closed_form) = 0.44750556475773 y[1] (numeric) = 0.4475055647577537 absolute error = 2.370326157574709e-14 relative error = 5.296752362974421e-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] = 1.100064000000016 y[1] (closed_form) = 0.4463969167743906 y[1] (numeric) = 0.4463969167744136 absolute error = 2.298161660974074e-14 relative error = 5.148247164385248e-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] = 1.110048000000009 y[1] (closed_form) = 0.4453334773074384 y[1] (numeric) = 0.4453334773074603 absolute error = 2.187139358511558e-14 relative error = 4.911239486722114e-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] = 1.120032000000001 y[1] (closed_form) = 0.4443143571605019 y[1] (numeric) = 0.4443143571605228 absolute error = 2.087219286295294e-14 relative error = 4.697618370097632e-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] = 1.130015999999994 y[1] (closed_form) = 0.4433386627194851 y[1] (numeric) = 0.4433386627195055 absolute error = 2.042810365310288e-14 relative error = 4.607787538265845e-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] = 1.140127999999987 y[1] (closed_form) = 0.4423938045497626 y[1] (numeric) = 0.4423938045497823 absolute error = 1.970645868709653e-14 relative error = 4.454506027079737e-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] = 1.150111999999979 y[1] (closed_form) = 0.4415027912389731 y[1] (numeric) = 0.4415027912389922 absolute error = 1.909583602355269e-14 relative error = 4.325190327781337e-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] = 1.160095999999972 y[1] (closed_form) = 0.4406524855321925 y[1] (numeric) = 0.4406524855322113 absolute error = 1.88182802673964e-14 relative error = 4.270548989339947e-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] = 1.170079999999965 y[1] (closed_form) = 0.4398419769879982 y[1] (numeric) = 0.4398419769880161 absolute error = 1.787459069646502e-14 relative error = 4.063866486520625e-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] = 1.180063999999957 y[1] (closed_form) = 0.4390703511980092 y[1] (numeric) = 0.4390703511980265 absolute error = 1.731947918415244e-14 relative error = 3.94457952738007e-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] = 1.19004799999995 y[1] (closed_form) = 0.4383366898780336 y[1] (numeric) = 0.4383366898780503 absolute error = 1.665334536937735e-14 relative error = 3.799213197054326e-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] = 1.200031999999943 y[1] (closed_form) = 0.4376400709596033 y[1] (numeric) = 0.4376400709596194 absolute error = 1.609823385706477e-14 relative error = 3.678418619612811e-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] = 1.210015999999935 y[1] (closed_form) = 0.4369795686818845 y[1] (numeric) = 0.4369795686819001 absolute error = 1.565414464721471e-14 relative error = 3.582351617590323e-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] = 1.220127999999928 y[1] (closed_form) = 0.4363464612163839 y[1] (numeric) = 0.4363464612163991 absolute error = 1.52655665885959e-14 relative error = 3.498496709711075e-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] = 1.230111999999921 y[1] (closed_form) = 0.4357558337174368 y[1] (numeric) = 0.4357558337174516 absolute error = 1.48769885299771e-14 relative error = 3.414065258303344e-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] = 1.240095999999913 y[1] (closed_form) = 0.4351985123216975 y[1] (numeric) = 0.4351985123217122 absolute error = 1.476596622751458e-14 relative error = 3.392926632203104e-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] = 1.250079999999906 y[1] (closed_form) = 0.4346735573832352 y[1] (numeric) = 0.4346735573832499 absolute error = 1.471045507628332e-14 relative error = 3.384253499302161e-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] = 1.260063999999899 y[1] (closed_form) = 0.4341800260298487 y[1] (numeric) = 0.4341800260298633 absolute error = 1.454392162258955e-14 relative error = 3.349744518553623e-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] = 1.270047999999891 y[1] (closed_form) = 0.4337169722570522 y[1] (numeric) = 0.4337169722570662 absolute error = 1.398881011027697e-14 relative error = 3.225331496132041e-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] = 1.280031999999884 y[1] (closed_form) = 0.4332834470223716 y[1] (numeric) = 0.4332834470223851 absolute error = 1.343369859796439e-14 relative error = 3.100441221626169e-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] = 1.290015999999877 y[1] (closed_form) = 0.4328784983399454 y[1] (numeric) = 0.4328784983399585 absolute error = 1.310063169057685e-14 relative error = 3.026399264647407e-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] = 1.300127999999869 y[1] (closed_form) = 0.4324965090141644 y[1] (numeric) = 0.4324965090141774 absolute error = 1.304512053934559e-14 relative error = 3.016237187458629e-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] = 1.310111999999862 y[1] (closed_form) = 0.4321461817989247 y[1] (numeric) = 0.4321461817989377 absolute error = 1.293409823688307e-14 relative error = 2.992991441701836e-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] = 1.320095999999854 y[1] (closed_form) = 0.4318215461406927 y[1] (numeric) = 0.4318215461407049 absolute error = 1.221245327087672e-14 relative error = 2.828125039156281e-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] = 1.330079999999847 y[1] (closed_form) = 0.4315216391995553 y[1] (numeric) = 0.4315216391995675 absolute error = 1.215694211964546e-14 relative error = 2.817226534037969e-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] = 1.34006399999984 y[1] (closed_form) = 0.4312454956706564 y[1] (numeric) = 0.4312454956706682 absolute error = 1.182387521225792e-14 relative error = 2.741796802739906e-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] = 1.350047999999832 y[1] (closed_form) = 0.430992147880416 y[1] (numeric) = 0.4309921478804273 absolute error = 1.13242748511766e-14 relative error = 2.627489829424608e-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] = 1.360031999999825 y[1] (closed_form) = 0.4307606258829872 y[1] (numeric) = 0.4307606258829986 absolute error = 1.13242748511766e-14 relative error = 2.628902032994248e-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] = 1.370015999999818 y[1] (closed_form) = 0.430549957556942 y[1] (numeric) = 0.4305499575569532 absolute error = 1.121325254871408e-14 relative error = 2.604402195819769e-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] = 1.38012799999981 y[1] (closed_form) = 0.4303568475072512 y[1] (numeric) = 0.4303568475072626 absolute error = 1.137978600240785e-14 relative error = 2.644267441850362e-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] = 1.390111999999803 y[1] (closed_form) = 0.4301851979458193 y[1] (numeric) = 0.4301851979458305 absolute error = 1.115774139748282e-14 relative error = 2.593706489847219e-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] = 1.400095999999796 y[1] (closed_form) = 0.4300314610569043 y[1] (numeric) = 0.4300314610569155 absolute error = 1.126876369994534e-14 relative error = 2.620450994968991e-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] = 1.410079999999788 y[1] (closed_form) = 0.4298946569655022 y[1] (numeric) = 0.4298946569655134 absolute error = 1.121325254871408e-14 relative error = 2.608372159790279e-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] = 1.420063999999781 y[1] (closed_form) = 0.4297738041087578 y[1] (numeric) = 0.4297738041087689 absolute error = 1.115774139748282e-14 relative error = 2.596189272312946e-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] = 1.430047999999774 y[1] (closed_form) = 0.4296679193338055 y[1] (numeric) = 0.4296679193338165 absolute error = 1.099120794378905e-14 relative error = 2.558070418855281e-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] = 1.440031999999766 y[1] (closed_form) = 0.4295760179957702 y[1] (numeric) = 0.4295760179957812 absolute error = 1.099120794378905e-14 relative error = 2.558617679606424e-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] = 1.450015999999759 y[1] (closed_form) = 0.4294971140559154 y[1] (numeric) = 0.4294971140559263 absolute error = 1.088018564132653e-14 relative error = 2.533238358363e-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] = 1.460127999999752 y[1] (closed_form) = 0.4294294362358888 y[1] (numeric) = 0.4294294362358997 absolute error = 1.093569679255779e-14 relative error = 2.546564317624172e-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] = 1.470111999999744 y[1] (closed_form) = 0.4293736987711363 y[1] (numeric) = 0.4293736987711472 absolute error = 1.088018564132653e-14 relative error = 2.533966489439276e-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] = 1.480095999999737 y[1] (closed_form) = 0.429327980514435 y[1] (numeric) = 0.4293279805144457 absolute error = 1.071365218763276e-14 relative error = 2.495446994811591e-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] = 1.49007999999973 y[1] (closed_form) = 0.4292912908235458 y[1] (numeric) = 0.4292912908235565 absolute error = 1.071365218763276e-14 relative error = 2.495660269995195e-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] = 1.500063999999722 y[1] (closed_form) = 0.4292626381562668 y[1] (numeric) = 0.4292626381562773 absolute error = 1.054711873393899e-14 relative error = 2.457031615712026e-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] = 1.510047999999715 y[1] (closed_form) = 0.4292410301692704 y[1] (numeric) = 0.4292410301692808 absolute error = 1.043609643147647e-14 relative error = 2.431290509987132e-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] = 1.520031999999708 y[1] (closed_form) = 0.4292254738170196 y[1] (numeric) = 0.4292254738170299 absolute error = 1.032507412901396e-14 relative error = 2.405512896798752e-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] = 1.5300159999997 y[1] (closed_form) = 0.4292149754507533 y[1] (numeric) = 0.4292149754507639 absolute error = 1.060262988517024e-14 relative error = 2.470237641180988e-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] = 1.540127999999693 y[1] (closed_form) = 0.4292084804757457 y[1] (numeric) = 0.4292084804757563 absolute error = 1.06581410364015e-14 relative error = 2.48320839900175e-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] = 1.550111999999686 y[1] (closed_form) = 0.4292051481086878 y[1] (numeric) = 0.4292051481086985 absolute error = 1.071365218763276e-14 relative error = 2.496161156230991e-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] = 1.560095999999678 y[1] (closed_form) = 0.4292038773964757 y[1] (numeric) = 0.4292038773964864 absolute error = 1.06581410364015e-14 relative error = 2.483235030646305e-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] = 1.570079999999671 y[1] (closed_form) = 0.4292036732663642 y[1] (numeric) = 0.4292036732663748 absolute error = 1.060262988517024e-14 relative error = 2.47030268974195e-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] = 1.580063999999664 y[1] (closed_form) = 0.4292035405392918 y[1] (numeric) = 0.4292035405393024 absolute error = 1.06581410364015e-14 relative error = 2.483236979594719e-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] = 1.590047999999656 y[1] (closed_form) = 0.4292024840290796 y[1] (numeric) = 0.4292024840290903 absolute error = 1.071365218763276e-14 relative error = 2.496176650018382e-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] = 1.600031999999649 y[1] (closed_form) = 0.4291995086416307 y[1] (numeric) = 0.4291995086416415 absolute error = 1.082467449009528e-14 relative error = 2.522061249406874e-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] = 1.610015999999642 y[1] (closed_form) = 0.429193619474121 y[1] (numeric) = 0.429193619474132 absolute error = 1.099120794378905e-14 relative error = 2.56089733049999e-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] = 1.620127999999634 y[1] (closed_form) = 0.4291836665980722 y[1] (numeric) = 0.429183666598083 absolute error = 1.082467449009528e-14 relative error = 2.52215434382607e-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] = 1.630111999999627 y[1] (closed_form) = 0.4291688971159371 y[1] (numeric) = 0.4291688971159476 absolute error = 1.049160758270773e-14 relative error = 2.444633721877914e-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] = 1.640095999999619 y[1] (closed_form) = 0.4291482185478863 y[1] (numeric) = 0.4291482185478971 absolute error = 1.082467449009528e-14 relative error = 2.522362676168819e-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] = 1.650079999999612 y[1] (closed_form) = 0.4291206377557397 y[1] (numeric) = 0.42912063775575 absolute error = 1.032507412901396e-14 relative error = 2.406100574191238e-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] = 1.660063999999605 y[1] (closed_form) = 0.429085162289325 y[1] (numeric) = 0.4290851622893353 absolute error = 1.02695629777827e-14 relative error = 2.393362409222182e-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] = 1.670047999999597 y[1] (closed_form) = 0.4290408004854072 y[1] (numeric) = 0.4290408004854179 absolute error = 1.071365218763276e-14 relative error = 2.497117331384702e-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] = 1.68003199999959 y[1] (closed_form) = 0.4289865615665371 y[1] (numeric) = 0.4289865615665476 absolute error = 1.043609643147647e-14 relative error = 2.432732716234003e-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] = 1.690015999999583 y[1] (closed_form) = 0.42892145573981 y[1] (numeric) = 0.4289214557398204 absolute error = 1.038058528024521e-14 relative error = 2.420159948012073e-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] = 1.700127999999575 y[1] (closed_form) = 0.4288434263354253 y[1] (numeric) = 0.4288434263354357 absolute error = 1.038058528024521e-14 relative error = 2.42060030369357e-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] = 1.710111999999568 y[1] (closed_form) = 0.428753450683947 y[1] (numeric) = 0.4287534506839571 absolute error = 1.010302952408892e-14 relative error = 2.356372761075761e-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] = 1.720095999999561 y[1] (closed_form) = 0.4286496330037766 y[1] (numeric) = 0.4286496330037869 absolute error = 1.032507412901396e-14 relative error = 2.408744422959296e-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] = 1.730079999999553 y[1] (closed_form) = 0.4285309884439927 y[1] (numeric) = 0.4285309884440029 absolute error = 1.015854067532018e-14 relative error = 2.370549843362813e-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] = 1.740063999999546 y[1] (closed_form) = 0.428396533631608 y[1] (numeric) = 0.4283965336316182 absolute error = 1.021405182655144e-14 relative error = 2.384251744514542e-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] = 1.750047999999539 y[1] (closed_form) = 0.4282452867695916 y[1] (numeric) = 0.4282452867696021 absolute error = 1.043609643147647e-14 relative error = 2.436943675480869e-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] = 1.760031999999531 y[1] (closed_form) = 0.4280762677347361 y[1] (numeric) = 0.4280762677347462 absolute error = 1.010302952408892e-14 relative error = 2.360100357245083e-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] = 1.770015999999524 y[1] (closed_form) = 0.4278884981753528 y[1] (numeric) = 0.4278884981753626 absolute error = 9.825473767932635e-15 relative error = 2.296269661332673e-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] = 1.780127999999517 y[1] (closed_form) = 0.4276782090728013 y[1] (numeric) = 0.4276782090728111 absolute error = 9.769962616701378e-15 relative error = 2.284419081786393e-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] = 1.790111999999509 y[1] (closed_form) = 0.4274497392605483 y[1] (numeric) = 0.4274497392605581 absolute error = 9.769962616701378e-15 relative error = 2.285640092704836e-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] = 1.800095999999502 y[1] (closed_form) = 0.4271995830185735 y[1] (numeric) = 0.4271995830185832 absolute error = 9.71445146547012e-15 relative error = 2.27398430420466e-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] = 1.810079999999495 y[1] (closed_form) = 0.4269267700828989 y[1] (numeric) = 0.4269267700829085 absolute error = 9.603429163007604e-15 relative error = 2.249432416979345e-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] = 1.820063999999487 y[1] (closed_form) = 0.4266303324479528 y[1] (numeric) = 0.4266303324479622 absolute error = 9.436895709313831e-15 relative error = 2.211960798747261e-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] = 1.83004799999948 y[1] (closed_form) = 0.4263093044630601 y[1] (numeric) = 0.4263093044630691 absolute error = 8.93729534823251e-15 relative error = 2.096434502992869e-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] = 1.840031999999473 y[1] (closed_form) = 0.4259627229286973 y[1] (numeric) = 0.425962722928706 absolute error = 8.715250743307479e-15 relative error = 2.046012543864394e-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] = 1.850015999999465 y[1] (closed_form) = 0.4255896271925048 y[1] (numeric) = 0.4255896271925133 absolute error = 8.43769498715119e-15 relative error = 1.982589435464462e-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] = 1.860127999999458 y[1] (closed_form) = 0.4251837412326736 y[1] (numeric) = 0.4251837412326817 absolute error = 8.104628079763643e-15 relative error = 1.906147223848934e-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] = 1.87011199999945 y[1] (closed_form) = 0.4247543751582183 y[1] (numeric) = 0.4247543751582261 absolute error = 7.771561172376096e-15 relative error = 1.829660064003164e-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] = 1.880095999999443 y[1] (closed_form) = 0.4242956169721541 y[1] (numeric) = 0.4242956169721616 absolute error = 7.494005416219807e-15 relative error = 1.766222679767071e-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] = 1.890079999999436 y[1] (closed_form) = 0.423806517203825 y[1] (numeric) = 0.4238065172038323 absolute error = 7.271960811294775e-15 relative error = 1.715868094543107e-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] = 1.900063999999428 y[1] (closed_form) = 0.4232861294070078 y[1] (numeric) = 0.4232861294070146 absolute error = 6.772360450213455e-15 relative error = 1.599948587897511e-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] = 1.910047999999421 y[1] (closed_form) = 0.4227335102542504 y[1] (numeric) = 0.4227335102542568 absolute error = 6.328271240363392e-15 relative error = 1.496988312224714e-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] = 1.920031999999414 y[1] (closed_form) = 0.4221477196309058 y[1] (numeric) = 0.4221477196309116 absolute error = 5.828670879282072e-15 relative error = 1.380718314522278e-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] = 1.930015999999406 y[1] (closed_form) = 0.4215278207288384 y[1] (numeric) = 0.4215278207288442 absolute error = 5.773159728050814e-15 relative error = 1.369579762984277e-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] = 1.940127999999399 y[1] (closed_form) = 0.4208642519050059 y[1] (numeric) = 0.4208642519050113 absolute error = 5.384581669432009e-15 relative error = 1.27941055698106e-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] = 1.950111999999392 y[1] (closed_form) = 0.420172872517419 y[1] (numeric) = 0.4201728725174237 absolute error = 4.718447854656915e-15 relative error = 1.122977746370645e-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] = 1.960095999999384 y[1] (closed_form) = 0.4194445833455462 y[1] (numeric) = 0.4194445833455503 absolute error = 4.107825191113079e-15 relative error = 9.79348727869726e-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] = 1.970079999999377 y[1] (closed_form) = 0.4186784617854264 y[1] (numeric) = 0.4186784617854303 absolute error = 3.83026943495679e-15 relative error = 9.148474986324496e-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] = 1.98006399999937 y[1] (closed_form) = 0.4178735890042102 y[1] (numeric) = 0.4178735890042131 absolute error = 2.886579864025407e-15 relative error = 6.907782496864916e-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] = 1.990047999999362 y[1] (closed_form) = 0.417029050031746 y[1] (numeric) = 0.4170290500317483 absolute error = 2.386979502944087e-15 relative error = 5.723772727013573e-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] = 2.000031999999355 y[1] (closed_form) = 0.4161439338517869 y[1] (numeric) = 0.4161439338517887 absolute error = 1.77635683940025e-15 relative error = 4.268611638666622e-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] = 2.010015999999365 y[1] (closed_form) = 0.4152173334927971 y[1] (numeric) = 0.4152173334928 absolute error = 2.886579864025407e-15 relative error = 6.951973415328243e-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] = 2.020127999999375 y[1] (closed_form) = 0.4142356440891999 y[1] (numeric) = 0.4142356440892038 absolute error = 3.885780586188048e-15 relative error = 9.380604111777738e-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] = 2.030111999999385 y[1] (closed_form) = 0.4132228103286057 y[1] (numeric) = 0.4132228103286102 absolute error = 4.496403249731884e-15 relative error = 1.088130455856545e-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] = 2.040095999999395 y[1] (closed_form) = 0.4121657852077094 y[1] (numeric) = 0.4121657852077151 absolute error = 5.717648576819556e-15 relative error = 1.387220575317325e-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] = 2.050079999999405 y[1] (closed_form) = 0.4110636788907622 y[1] (numeric) = 0.4110636788907691 absolute error = 6.883382752675971e-15 relative error = 1.674529545215594e-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] = 2.060063999999415 y[1] (closed_form) = 0.4099156060356819 y[1] (numeric) = 0.40991560603569 absolute error = 8.104628079763643e-15 relative error = 1.977145529574729e-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] = 2.070047999999425 y[1] (closed_form) = 0.4087206858823049 y[1] (numeric) = 0.4087206858823142 absolute error = 9.325873406851315e-15 relative error = 2.281722880435954e-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] = 2.080031999999435 y[1] (closed_form) = 0.4074780423401796 y[1] (numeric) = 0.4074780423401902 absolute error = 1.060262988517024e-14 relative error = 2.602012570856206e-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] = 2.090015999999445 y[1] (closed_form) = 0.4061868040758947 y[1] (numeric) = 0.4061868040759063 absolute error = 1.165734175856414e-14 relative error = 2.869945956291088e-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] = 2.100127999999455 y[1] (closed_form) = 0.404828591262862 y[1] (numeric) = 0.4048285912628752 absolute error = 1.321165399303936e-14 relative error = 3.263518011864141e-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] = 2.110111999999465 y[1] (closed_form) = 0.4034369182803776 y[1] (numeric) = 0.403436918280392 absolute error = 1.432187701766452e-14 relative error = 3.549966889175771e-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] = 2.120095999999475 y[1] (closed_form) = 0.4019940550354741 y[1] (numeric) = 0.4019940550354899 absolute error = 1.570965579844597e-14 relative error = 3.907932369064428e-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] = 2.130079999999485 y[1] (closed_form) = 0.4004991501525255 y[1] (numeric) = 0.4004991501525427 absolute error = 1.726396803292118e-14 relative error = 4.310612900513372e-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] = 2.140063999999495 y[1] (closed_form) = 0.3989513574433858 y[1] (numeric) = 0.3989513574434047 absolute error = 1.88182802673964e-14 relative error = 4.716936016458311e-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] = 2.150047999999505 y[1] (closed_form) = 0.3973498359917387 y[1] (numeric) = 0.3973498359917588 absolute error = 2.015054789694659e-14 relative error = 5.07123599199511e-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] = 2.160031999999515 y[1] (closed_form) = 0.3956937502369167 y[1] (numeric) = 0.3956937502369385 absolute error = 2.187139358511558e-14 relative error = 5.527353811380736e-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] = 2.170015999999525 y[1] (closed_form) = 0.393982270057192 y[1] (numeric) = 0.3939822700572153 absolute error = 2.325917236589703e-14 relative error = 5.903608901619008e-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] = 2.180127999999535 y[1] (closed_form) = 0.3921915394699473 y[1] (numeric) = 0.3921915394699724 absolute error = 2.509104035652854e-14 relative error = 6.397649574603127e-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] = 2.190111999999545 y[1] (closed_form) = 0.3903660656948809 y[1] (numeric) = 0.3903660656949077 absolute error = 2.686739719592879e-14 relative error = 6.882615974342648e-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] = 2.200095999999555 y[1] (closed_form) = 0.3884827301982652 y[1] (numeric) = 0.3884827301982939 absolute error = 2.875477633779155e-14 relative error = 7.4018158601584e-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] = 2.210079999999565 y[1] (closed_form) = 0.3865407255104962 y[1] (numeric) = 0.3865407255105268 absolute error = 3.058664432842306e-14 relative error = 7.912916365546716e-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] = 2.220063999999575 y[1] (closed_form) = 0.3845392500100813 y[1] (numeric) = 0.384539250010114 absolute error = 3.269606807521086e-14 relative error = 8.502660801037523e-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] = 2.230047999999585 y[1] (closed_form) = 0.3824775080035443 y[1] (numeric) = 0.3824775080035789 absolute error = 3.458344721707363e-14 relative error = 9.041955799595189e-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] = 2.240031999999595 y[1] (closed_form) = 0.38035470980474 y[1] (numeric) = 0.3803547098047768 absolute error = 3.680389326632394e-14 relative error = 9.676202848971607e-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] = 2.250015999999605 y[1] (closed_form) = 0.3781700718135701 y[1] (numeric) = 0.3781700718136088 absolute error = 3.869127240818671e-14 relative error = 1.023118308189673e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.260127999999615 y[1] (closed_form) = 0.3758935957250795 y[1] (numeric) = 0.3758935957251202 absolute error = 4.063416270128073e-14 relative error = 1.081001729303196e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.270111999999625 y[1] (closed_form) = 0.3735821344314205 y[1] (numeric) = 0.3735821344314634 absolute error = 4.285460875053104e-14 relative error = 1.147126824352945e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.280095999999635 y[1] (closed_form) = 0.3712065100746411 y[1] (numeric) = 0.3712065100746859 absolute error = 4.479749904362507e-14 relative error = 1.206808011923533e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.290079999999645 y[1] (closed_form) = 0.3687659642562084 y[1] (numeric) = 0.3687659642562561 absolute error = 4.762856775641922e-14 relative error = 1.291566260798629e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.300063999999655 y[1] (closed_form) = 0.3662597450489251 y[1] (numeric) = 0.3662597450489756 absolute error = 5.045963646921336e-14 relative error = 1.377700857146421e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.310047999999665 y[1] (closed_form) = 0.3636871070718795 y[1] (numeric) = 0.3636871070719322 absolute error = 5.273559366969494e-14 relative error = 1.450026482771968e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.320031999999675 y[1] (closed_form) = 0.3610473115647439 y[1] (numeric) = 0.3610473115647991 absolute error = 5.523359547510154e-14 relative error = 1.529816002111316e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.330015999999685 y[1] (closed_form) = 0.3583396264614156 y[1] (numeric) = 0.3583396264614735 absolute error = 5.789813073420191e-14 relative error = 1.615733412068959e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.340127999999695 y[1] (closed_form) = 0.3555272842581951 y[1] (numeric) = 0.3555272842582555 absolute error = 6.034062138837726e-14 relative error = 1.697214927239058e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.350111999999705 y[1] (closed_form) = 0.3526807573815685 y[1] (numeric) = 0.3526807573816317 absolute error = 6.328271240363392e-14 relative error = 1.794334141546821e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.360095999999715 y[1] (closed_form) = 0.3497641765248907 y[1] (numeric) = 0.3497641765249568 absolute error = 6.616929226765933e-14 relative error = 1.891825884660045e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.370079999999725 y[1] (closed_form) = 0.346776837211864 y[1] (numeric) = 0.3467768372119329 absolute error = 6.883382752675971e-14 relative error = 1.98496035894997e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.380063999999735 y[1] (closed_form) = 0.3437180420193533 y[1] (numeric) = 0.3437180420194253 absolute error = 7.19979631469414e-14 relative error = 2.09468094034143e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.390047999999745 y[1] (closed_form) = 0.3405871006469043 y[1] (numeric) = 0.3405871006469798 absolute error = 7.543965452327939e-14 relative error = 2.214988599979001e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.400031999999755 y[1] (closed_form) = 0.3373833299855535 y[1] (numeric) = 0.3373833299856321 absolute error = 7.860379014346108e-14 relative error = 2.329806577782809e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.410015999999765 y[1] (closed_form) = 0.3341060541859182 y[1] (numeric) = 0.3341060541860006 absolute error = 8.243405957841787e-14 relative error = 2.46730217982061e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.420127999999775 y[1] (closed_form) = 0.3307111529689184 y[1] (numeric) = 0.3307111529690042 absolute error = 8.58202398035246e-14 relative error = 2.595021033705215e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.430111999999785 y[1] (closed_form) = 0.3272839050387129 y[1] (numeric) = 0.3272839050388022 absolute error = 8.931744233109384e-14 relative error = 2.729050862447052e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.440095999999795 y[1] (closed_form) = 0.3237811603179312 y[1] (numeric) = 0.3237811603180238 absolute error = 9.25370891025068e-14 relative error = 2.85801338816754e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.450079999999805 y[1] (closed_form) = 0.3202022727587543 y[1] (numeric) = 0.3202022727588503 absolute error = 9.597878047884478e-14 relative error = 2.997442199642248e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.460063999999815 y[1] (closed_form) = 0.3165466039032379 y[1] (numeric) = 0.3165466039033374 absolute error = 9.953149415764528e-14 relative error = 3.144291959867942e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.470047999999825 y[1] (closed_form) = 0.3128135229469531 y[1] (numeric) = 0.3128135229470565 absolute error = 1.034172747438333e-13 relative error = 3.306035933790843e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.480031999999835 y[1] (closed_form) = 0.3090024068018655 y[1] (numeric) = 0.3090024068019729 absolute error = 1.073585664812526e-13 relative error = 3.474360202964105e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.490015999999845 y[1] (closed_form) = 0.3051126401584434 y[1] (numeric) = 0.305112640158555 absolute error = 1.115774139748282e-13 relative error = 3.656925321641432e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.500127999999855 y[1] (closed_form) = 0.3010922134182596 y[1] (numeric) = 0.3010922134183751 absolute error = 1.154631945610163e-13 relative error = 3.834811709349042e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.510111999999865 y[1] (closed_form) = 0.2970423035968346 y[1] (numeric) = 0.2970423035969542 absolute error = 1.196265309033606e-13 relative error = 4.027255695731664e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.520095999999875 y[1] (closed_form) = 0.2929119370961275 y[1] (numeric) = 0.2929119370962514 absolute error = 1.238453783969362e-13 relative error = 4.22807549684439e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.530079999999885 y[1] (closed_form) = 0.2887005304292991 y[1] (numeric) = 0.2887005304294273 absolute error = 1.281752481929743e-13 relative error = 4.439730263133812e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.540063999999895 y[1] (closed_form) = 0.2844075081875483 y[1] (numeric) = 0.2844075081876807 absolute error = 1.323385845353187e-13 relative error = 4.653132590580201e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.550047999999905 y[1] (closed_form) = 0.280032303097467 y[1] (numeric) = 0.2800323030976037 absolute error = 1.36723965482588e-13 relative error = 4.882435489415677e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.560031999999915 y[1] (closed_form) = 0.2755743560775867 y[1] (numeric) = 0.2755743560777282 absolute error = 1.414424133372449e-13 relative error = 5.132640618324531e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.570015999999925 y[1] (closed_form) = 0.2710331162941082 y[1] (numeric) = 0.271033116294254 absolute error = 1.458277942845143e-13 relative error = 5.380441928220723e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.580127999999935 y[1] (closed_form) = 0.2663481987500118 y[1] (numeric) = 0.2663481987501624 absolute error = 1.505462421391712e-13 relative error = 5.652234287511379e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.590111999999945 y[1] (closed_form) = 0.2616376691109323 y[1] (numeric) = 0.2616376691110872 absolute error = 1.548206007839781e-13 relative error = 5.917366612769179e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.600095999999955 y[1] (closed_form) = 0.2568422375520445 y[1] (numeric) = 0.2568422375522043 absolute error = 1.598166043947913e-13 relative error = 6.222364589173434e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.610079999999965 y[1] (closed_form) = 0.2519613868798145 y[1] (numeric) = 0.2519613868799794 absolute error = 1.648681191568357e-13 relative error = 6.543388302409916e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.620063999999975 y[1] (closed_form) = 0.2469946084152368 y[1] (numeric) = 0.2469946084154066 absolute error = 1.698086116164177e-13 relative error = 6.874992644816873e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.630047999999985 y[1] (closed_form) = 0.2419414020445378 y[1] (numeric) = 0.2419414020447128 absolute error = 1.749711486809247e-13 relative error = 7.231963905405287e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.640031999999995 y[1] (closed_form) = 0.2368012762690301 y[1] (numeric) = 0.23680127626921 absolute error = 1.798283744136597e-13 relative error = 7.594062719888239e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.650016000000005 y[1] (closed_form) = 0.2315737482541009 y[1] (numeric) = 0.231573748254286 absolute error = 1.851019337806292e-13 relative error = 7.993217503113558e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.660000000000015 y[1] (closed_form) = 0.226258343877344 y[1] (numeric) = 0.2262583438775342 absolute error = 1.901812041182893e-13 relative error = 8.405489090885757e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.670112000000025 y[1] (closed_form) = 0.2207847434280921 y[1] (numeric) = 0.2207847434282878 absolute error = 1.957600748170307e-13 relative error = 8.866558068165988e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.680096000000035 y[1] (closed_form) = 0.2152910576795364 y[1] (numeric) = 0.2152910576797376 absolute error = 2.01200167637694e-13 relative error = 9.345495804901621e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.690080000000045 y[1] (closed_form) = 0.209708120261241 y[1] (numeric) = 0.209708120261448 absolute error = 2.070565940925917e-13 relative error = 9.873561111255675e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 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] = 2.700064000000055 y[1] (closed_form) = 0.2040354924778063 y[1] (numeric) = 0.2040354924780186 absolute error = 2.122746423083299e-13 relative error = 1.040380963774819e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.710048000000065 y[1] (closed_form) = 0.1982727445741146 y[1] (numeric) = 0.1982727445743327 absolute error = 2.181310687632276e-13 relative error = 1.100156601109085e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.720032000000075 y[1] (closed_form) = 0.1924194557781722 y[1] (numeric) = 0.1924194557783964 absolute error = 2.241817842474347e-13 relative error = 1.165068175361016e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.730016000000085 y[1] (closed_form) = 0.1864752143430493 y[1] (numeric) = 0.1864752143432793 absolute error = 2.300937218535637e-13 relative error = 1.233910483300325e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.740000000000095 y[1] (closed_form) = 0.1804396175879228 y[1] (numeric) = 0.1804396175881585 absolute error = 2.357003481279207e-13 relative error = 1.306256083218925e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.750112000000105 y[1] (closed_form) = 0.1742331188661943 y[1] (numeric) = 0.1742331188664364 absolute error = 2.421396416707466e-13 relative error = 1.389745206000143e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.760096000000115 y[1] (closed_form) = 0.1680124562404313 y[1] (numeric) = 0.1680124562406795 absolute error = 2.482736238818006e-13 relative error = 1.477709626044113e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.770080000000125 y[1] (closed_form) = 0.1616992802946369 y[1] (numeric) = 0.1616992802948917 absolute error = 2.548239397270891e-13 relative error = 1.575912640197081e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.780064000000135 y[1] (closed_form) = 0.1552932251231698 y[1] (numeric) = 0.155293225123431 absolute error = 2.611799665430681e-13 relative error = 1.68185035976885e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.790048000000145 y[1] (closed_form) = 0.1487939340785362 y[1] (numeric) = 0.1487939340788036 absolute error = 2.673694599053533e-13 relative error = 1.796911020339248e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.800032000000155 y[1] (closed_form) = 0.1422010598069403 y[1] (numeric) = 0.1422010598072143 absolute error = 2.740030424774886e-13 relative error = 1.926870607360379e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.810016000000165 y[1] (closed_form) = 0.135514264282909 y[1] (numeric) = 0.13551426428319 absolute error = 2.809974475326271e-13 relative error = 2.073563613539585e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.820000000000175 y[1] (closed_form) = 0.1287332188429873 y[1] (numeric) = 0.1287332188432748 absolute error = 2.874922522266843e-13 relative error = 2.233240610392345e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.830112000000185 y[1] (closed_form) = 0.1217688399685359 y[1] (numeric) = 0.1217688399688301 absolute error = 2.941258347988196e-13 relative error = 2.415444171717652e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.840096000000195 y[1] (closed_form) = 0.1147971279491546 y[1] (numeric) = 0.114797127949456 absolute error = 3.013145288832675e-13 relative error = 2.624756683954011e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 2.850080000000205 y[1] (closed_form) = 0.1077302327289877 y[1] (numeric) = 0.1077302327292962 absolute error = 3.084338340286763e-13 relative error = 2.863020214618768e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.860064000000215 y[1] (closed_form) = 0.1005678635326994 y[1] (numeric) = 0.1005678635330149 absolute error = 3.154559946594304e-13 relative error = 3.136747501420875e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.870048000000225 y[1] (closed_form) = 0.09330973910174478 y[1] (numeric) = 0.09330973910206766 absolute error = 3.228806111366112e-13 relative error = 3.460309869525438e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.880032000000235 y[1] (closed_form) = 0.08595558772240652 y[1] (numeric) = 0.08595558772273686 absolute error = 3.303329831894075e-13 relative error = 3.843065842981814e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.890016000000245 y[1] (closed_form) = 0.07850514725287905 y[1] (numeric) = 0.0785051472532164 absolute error = 3.373551438201616e-13 relative error = 4.297235985475967e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.900000000000255 y[1] (closed_form) = 0.07095816514939646 y[1] (numeric) = 0.07095816514974149 absolute error = 3.45029560477883e-13 relative error = 4.862436334866498e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.910112000000265 y[1] (closed_form) = 0.06321577208860596 y[1] (numeric) = 0.06321577208895902 absolute error = 3.530647996186076e-13 relative error = 5.585074546328987e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.920096000000275 y[1] (closed_form) = 0.05547374231228108 y[1] (numeric) = 0.05547374231264142 absolute error = 3.603367604299024e-13 relative error = 6.495627397939746e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.930080000000285 y[1] (closed_form) = 0.04763446830207752 y[1] (numeric) = 0.04763446830244573 absolute error = 3.68219343904741e-13 relative error = 7.730102949184836e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.940064000000295 y[1] (closed_form) = 0.03969773627293582 y[1] (numeric) = 0.03969773627331206 absolute error = 3.762407052576577e-13 relative error = 9.477636273032579e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 2.950048000000305 y[1] (closed_form) = 0.03166334215435551 y[1] (numeric) = 0.03166334215474013 absolute error = 3.846159501996738e-13 relative error = 1.214704210075837e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 2.960032000000315 y[1] (closed_form) = 0.0235310916107383 y[1] (numeric) = 0.02353109161113084 absolute error = 3.925436364848878e-13 relative error = 1.668191357113889e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 2.970016000000325 y[1] (closed_form) = 0.01530080006075707 y[1] (numeric) = 0.01530080006115763 absolute error = 4.005563242204246e-13 relative error = 2.617878298062052e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 2.980000000000335 y[1] (closed_form) = 0.006972292695756277 y[1] (numeric) = 0.006972292696165324 absolute error = 4.090469282735931e-13 relative error = 5.866749233326961e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 2.990112000000345 y[1] (closed_form) = -0.001563271949250655 y[1] (numeric) = -0.001563271948832918 absolute error = 4.177372423669334e-13 relative error = 2.672198158274209e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 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] = 3.000096000000355 y[1] (closed_form) = -0.01008996044099231 y[1] (numeric) = -0.01008996044056615 absolute error = 4.261608427258423e-13 relative error = 4.223612621854156e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 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] = 3.010080000000365 y[1] (closed_form) = -0.0187153321684641 y[1] (numeric) = -0.01871533216802936 absolute error = 4.347425197614996e-13 relative error = 2.322921740571903e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 3.020064000000375 y[1] (closed_form) = -0.02743952255895499 y[1] (numeric) = -0.02743952255851163 absolute error = 4.433571565432004e-13 relative error = 1.615761191145468e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 3.030048000000385 y[1] (closed_form) = -0.03626265718956656 y[1] (numeric) = -0.03626265718911417 absolute error = 4.523881269591357e-13 relative error = 1.247531653828435e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 3.040032000000395 y[1] (closed_form) = -0.04518485177469422 y[1] (numeric) = -0.04518485177423298 absolute error = 4.612421555805213e-13 relative error = 1.020789351883721e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 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] = 3.050016000000405 y[1] (closed_form) = -0.05420621215449462 y[1] (numeric) = -0.05420621215402453 absolute error = 4.700823064140991e-13 relative error = 8.672111326914055e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.060000000000415 y[1] (closed_form) = -0.06332683428433494 y[1] (numeric) = -0.06332683428385545 absolute error = 4.794914465477973e-13 relative error = 7.57169455834315e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.070112000000425 y[1] (closed_form) = -0.07266565432007877 y[1] (numeric) = -0.07266565431958999 absolute error = 4.887756865912252e-13 relative error = 6.726364623901392e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.080096000000435 y[1] (closed_form) = -0.08198632334766121 y[1] (numeric) = -0.08198632334716301 absolute error = 4.981987045127312e-13 relative error = 6.076607465371152e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.090080000000445 y[1] (closed_form) = -0.09140648337688351 y[1] (numeric) = -0.09140648337637604 absolute error = 5.074690667683512e-13 relative error = 5.551784162573844e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.100064000000455 y[1] (closed_form) = -0.1009261906109917 y[1] (numeric) = -0.1009261906104749 absolute error = 5.168226957508182e-13 relative error = 5.120798601651886e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.110048000000465 y[1] (closed_form) = -0.1105454913304236 y[1] (numeric) = -0.1105454913298969 absolute error = 5.266898028821743e-13 relative error = 4.764462091971564e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 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] = 3.120032000000475 y[1] (closed_form) = -0.1202644218881943 y[1] (numeric) = -0.1202644218876578 absolute error = 5.365152766501069e-13 relative error = 4.461130467569924e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.130016000000485 y[1] (closed_form) = -0.1300830087062743 y[1] (numeric) = -0.130083008705728 absolute error = 5.463129948424239e-13 relative error = 4.199726007844662e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.140000000000495 y[1] (closed_form) = -0.1400012682729548 y[1] (numeric) = -0.1400012682723988 absolute error = 5.559441795810471e-13 relative error = 3.97099388054932e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.150112000000505 y[1] (closed_form) = -0.1501482894126491 y[1] (numeric) = -0.150148289412083 absolute error = 5.661027202563673e-13 relative error = 3.770290840280971e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.160096000000515 y[1] (closed_form) = -0.1602671820306085 y[1] (numeric) = -0.1602671820300325 absolute error = 5.760669719023781e-13 relative error = 3.594416302848317e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.170080000000525 y[1] (closed_form) = -0.1704857370132316 y[1] (numeric) = -0.1704857370126452 absolute error = 5.863642904557764e-13 relative error = 3.439374464564553e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.180064000000535 y[1] (closed_form) = -0.1808039309802112 y[1] (numeric) = -0.1808039309796146 absolute error = 5.966060978579435e-13 relative error = 3.299740744703396e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.190048000000545 y[1] (closed_form) = -0.1912217306192843 y[1] (numeric) = -0.1912217306186772 absolute error = 6.070977054406512e-13 relative error = 3.174836371758194e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.200032000000555 y[1] (closed_form) = -0.201739092689551 y[1] (numeric) = -0.2017390926889332 absolute error = 6.178391132038996e-13 relative error = 3.062565142764223e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.210016000000565 y[1] (closed_form) = -0.212355964025785 y[1] (numeric) = -0.2123559640251564 absolute error = 6.286082765427636e-13 relative error = 2.960163042401935e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.220000000000575 y[1] (closed_form) = -0.2230722815437334 y[1] (numeric) = -0.2230722815430943 absolute error = 6.390443729742401e-13 relative error = 2.864741278261214e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.230112000000585 y[1] (closed_form) = -0.2340272797715972 y[1] (numeric) = -0.2340272797709474 absolute error = 6.498135363131041e-13 relative error = 2.776657221103883e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.240096000000595 y[1] (closed_form) = -0.2449435331275147 y[1] (numeric) = -0.2449435331268538 absolute error = 6.608880109837401e-13 relative error = 2.698123941241958e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.250080000000605 y[1] (closed_form) = -0.2559589827120927 y[1] (numeric) = -0.2559589827114209 absolute error = 6.717959522006822e-13 relative error = 2.624623465378945e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.260064000000615 y[1] (closed_form) = -0.2670735257110275 y[1] (numeric) = -0.2670735257103443 absolute error = 6.832312493543213e-13 relative error = 2.558214063095025e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.270048000000625 y[1] (closed_form) = -0.2782870494324388 y[1] (numeric) = -0.2782870494317444 absolute error = 6.943889907518042e-13 relative error = 2.495225674956839e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.280032000000635 y[1] (closed_form) = -0.2895994313181056 y[1] (numeric) = -0.2895994313174 absolute error = 7.056022433005182e-13 relative error = 2.436476619063044e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.290016000000645 y[1] (closed_form) = -0.3010105389556816 y[1] (numeric) = -0.3010105389549649 absolute error = 7.167044735467698e-13 relative error = 2.380994619102993e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.300000000000655 y[1] (closed_form) = -0.3125202300918937 y[1] (numeric) = -0.3125202300911658 absolute error = 7.278622149442526e-13 relative error = 2.329008316454367e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.310112000000665 y[1] (closed_form) = -0.3242778130960895 y[1] (numeric) = -0.3242778130953499 absolute error = 7.396305790052793e-13 relative error = 2.280854715108471e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.320096000000675 y[1] (closed_form) = -0.3359854639498994 y[1] (numeric) = -0.3359854639491482 absolute error = 7.511768984613809e-13 relative error = 2.235742253936894e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.330080000000685 y[1] (closed_form) = -0.3477912103790217 y[1] (numeric) = -0.3477912103782587 absolute error = 7.630562848248701e-13 relative error = 2.194006812286296e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.340064000000695 y[1] (closed_form) = -0.3596948707928149 y[1] (numeric) = -0.3596948707920399 absolute error = 7.749911823395905e-13 relative error = 2.154579465176714e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.350048000000705 y[1] (closed_form) = -0.3716962538406263 y[1] (numeric) = -0.3716962538398397 absolute error = 7.865930129469234e-13 relative error = 2.116225290998478e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.360032000000715 y[1] (closed_form) = -0.3837951584308685 y[1] (numeric) = -0.3837951584300697 absolute error = 7.988609773690314e-13 relative error = 2.081477475211368e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.370016000000725 y[1] (closed_form) = -0.3959913737510612 y[1] (numeric) = -0.3959913737502501 absolute error = 8.111289417911394e-13 relative error = 2.048350028708083e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.380000000000735 y[1] (closed_form) = -0.4082846792888466 y[1] (numeric) = -0.4082846792880231 absolute error = 8.235079285157099e-13 relative error = 2.016994441109332e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.390112000000745 y[1] (closed_form) = -0.4208343209538725 y[1] (numeric) = -0.4208343209530364 absolute error = 8.361089598452054e-13 relative error = 1.986788905310912e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.400096000000755 y[1] (closed_form) = -0.4333223438222502 y[1] (numeric) = -0.433322343821402 absolute error = 8.482103908136196e-13 relative error = 1.957458236129078e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.410080000000765 y[1] (closed_form) = -0.4459067341356722 y[1] (numeric) = -0.4459067341348111 absolute error = 8.610889778992714e-13 relative error = 1.931096599311001e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.420064000000775 y[1] (closed_form) = -0.4585872326887186 y[1] (numeric) = -0.4585872326878449 absolute error = 8.736900092287669e-13 relative error = 1.905177351114381e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.430048000000785 y[1] (closed_form) = -0.4713635706959569 y[1] (numeric) = -0.4713635706950701 absolute error = 8.867906409193438e-13 relative error = 1.881330454981955e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.440032000000795 y[1] (closed_form) = -0.484235469818731 y[1] (numeric) = -0.4842354698178316 absolute error = 8.994471834000706e-13 relative error = 1.857458281064727e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.450016000000805 y[1] (closed_form) = -0.4972026421929088 y[1] (numeric) = -0.4972026421919964 absolute error = 9.123257704857224e-13 relative error = 1.834917381898688e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.460000000000815 y[1] (closed_form) = -0.5102647904575743 y[1] (numeric) = -0.5102647904566487 absolute error = 9.25592935629993e-13 relative error = 1.813946313638411e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.470112000000825 y[1] (closed_form) = -0.5235908981954829 y[1] (numeric) = -0.5235908981945433 absolute error = 9.3958174574027e-13 relative error = 1.794495948990841e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.480096000000835 y[1] (closed_form) = -0.5368432758773127 y[1] (numeric) = -0.5368432758763603 absolute error = 9.524603328259218e-13 relative error = 1.774186947334685e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.490080000000845 y[1] (closed_form) = -0.5501896764511334 y[1] (numeric) = -0.5501896764501677 absolute error = 9.656719868189612e-13 relative error = 1.755161952597506e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.500064000000855 y[1] (closed_form) = -0.5636297647547792 y[1] (numeric) = -0.5636297647537997 absolute error = 9.795497746267756e-13 relative error = 1.737931237632477e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.510048000000865 y[1] (closed_form) = -0.5771631962873447 y[1] (numeric) = -0.5771631962863515 absolute error = 9.93205517829665e-13 relative error = 1.720840005424031e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.520032000000875 y[1] (closed_form) = -0.5907896172435252 y[1] (numeric) = -0.5907896172425184 absolute error = 1.006750238730092e-12 relative error = 1.704075713834197e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.530016000000885 y[1] (closed_form) = -0.6045086645488826 y[1] (numeric) = -0.6045086645478623 absolute error = 1.020294959630519e-12 relative error = 1.687808660926173e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.540000000000895 y[1] (closed_form) = -0.6183199658960392 y[1] (numeric) = -0.6183199658950048 absolute error = 1.034394792043258e-12 relative error = 1.672911840303044e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.550112000000905 y[1] (closed_form) = -0.6324019803857883 y[1] (numeric) = -0.6324019803847399 absolute error = 1.048383602153535e-12 relative error = 1.657780390747643e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.560096000000915 y[1] (closed_form) = -0.6463978064175899 y[1] (numeric) = -0.6463978064165272 absolute error = 1.0627054791712e-12 relative error = 1.64404252090649e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.570080000000925 y[1] (closed_form) = -0.6604847093626831 y[1] (numeric) = -0.6604847093616062 absolute error = 1.076916333886402e-12 relative error = 1.630493966961844e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.580064000000935 y[1] (closed_form) = -0.6746622802460496 y[1] (numeric) = -0.6746622802449588 absolute error = 1.090794121694216e-12 relative error = 1.616800217875532e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.590048000000945 y[1] (closed_form) = -0.6889301010549427 y[1] (numeric) = -0.6889301010538379 absolute error = 1.104782931804493e-12 relative error = 1.603621223855315e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.600032000000955 y[1] (closed_form) = -0.7032877447805546 y[1] (numeric) = -0.7032877447794353 absolute error = 1.11921583112462e-12 relative error = 1.591405281025972e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.610016000000965 y[1] (closed_form) = -0.7177347754605803 y[1] (numeric) = -0.717734775459447 absolute error = 1.13331566353736e-12 relative error = 1.579017350538847e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.620000000000975 y[1] (closed_form) = -0.7322707482226742 y[1] (numeric) = -0.7322707482215267 absolute error = 1.147526518252562e-12 relative error = 1.567079554983963e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.630112000000985 y[1] (closed_form) = -0.7470832749196221 y[1] (numeric) = -0.7470832749184603 absolute error = 1.161848395270226e-12 relative error = 1.555179234062265e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.640096000000995 y[1] (closed_form) = -0.7617968873055698 y[1] (numeric) = -0.761796887304393 absolute error = 1.176836406102666e-12 relative error = 1.544816506490419e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.650080000001005 y[1] (closed_form) = -0.7765980480446748 y[1] (numeric) = -0.7765980480434832 absolute error = 1.191602372330181e-12 relative error = 1.534387544921607e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.660064000001015 y[1] (closed_form) = -0.7914862769651108 y[1] (numeric) = -0.7914862769639043 absolute error = 1.206479360860158e-12 relative error = 1.524321262380321e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.670048000001025 y[1] (closed_form) = -0.806461085216144 y[1] (numeric) = -0.8064610852149222 absolute error = 1.221800438599985e-12 relative error = 1.515014749003696e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.680032000001035 y[1] (closed_form) = -0.8215219753168626 y[1] (numeric) = -0.8215219753156255 absolute error = 1.237010494037349e-12 relative error = 1.505754600855604e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.690016000001045 y[1] (closed_form) = -0.8366684412057657 y[1] (numeric) = -0.8366684412045137 absolute error = 1.251998504869789e-12 relative error = 1.496409381792231e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.700000000001055 y[1] (closed_form) = -0.8518999682912063 y[1] (numeric) = -0.8518999682899391 absolute error = 1.267208560307154e-12 relative error = 1.487508636546846e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.710112000001065 y[1] (closed_form) = -0.8674129398655346 y[1] (numeric) = -0.8674129398642519 absolute error = 1.282640660349443e-12 relative error = 1.47869670995256e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.720096000001075 y[1] (closed_form) = -0.8828140852266584 y[1] (numeric) = -0.8828140852253599 absolute error = 1.298516849601583e-12 relative error = 1.47088370171189e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.730080000001085 y[1] (closed_form) = -0.8982986903701131 y[1] (numeric) = -0.8982986903687993 absolute error = 1.31383792734141e-12 relative error = 1.462584707543199e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.740064000001095 y[1] (closed_form) = -0.9138662069987249 y[1] (numeric) = -0.9138662069973961 absolute error = 1.32882593817385e-12 relative error = 1.454070549930843e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.750048000001105 y[1] (closed_form) = -0.9295160785507499 y[1] (numeric) = -0.9295160785494054 absolute error = 1.344480082821065e-12 relative error = 1.446430152039224e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.760032000001115 y[1] (closed_form) = -0.9452477402553527 y[1] (numeric) = -0.9452477402539924 absolute error = 1.360356272073204e-12 relative error = 1.439153159684585e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.770016000001125 y[1] (closed_form) = -0.9610606191889026 y[1] (numeric) = -0.9610606191875264 absolute error = 1.376232461325344e-12 relative error = 1.431993397551582e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.780000000001135 y[1] (closed_form) = -0.9769541343320811 y[1] (numeric) = -0.9769541343306887 absolute error = 1.392441717484871e-12 relative error = 1.425288730096678e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.790112000001145 y[1] (closed_form) = -0.9931330029970979 y[1] (numeric) = -0.9931330029956896 absolute error = 1.408317906737011e-12 relative error = 1.418055690916483e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.800096000001155 y[1] (closed_form) = -1.009187030089665 y[1] (numeric) = -1.00918703008824 absolute error = 1.424860229803926e-12 relative error = 1.411889161593098e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.810080000001165 y[1] (closed_form) = -1.025319894535945 y[1] (numeric) = -1.025319894534504 absolute error = 1.441735619778228e-12 relative error = 1.406132493343212e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.820064000001175 y[1] (closed_form) = -1.041530983420648 y[1] (numeric) = -1.04153098341919 absolute error = 1.457944875937756e-12 relative error = 1.399809414357987e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.830048000001185 y[1] (closed_form) = -1.057819676031115 y[1] (numeric) = -1.057819676029641 absolute error = 1.474154132097283e-12 relative error = 1.393577908881629e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.840032000001195 y[1] (closed_form) = -1.074185343919193 y[1] (numeric) = -1.074185343917702 absolute error = 1.490585432861735e-12 relative error = 1.387642683173553e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.850016000001205 y[1] (closed_form) = -1.090627350963878 y[1] (numeric) = -1.090627350962371 absolute error = 1.506350599811412e-12 relative error = 1.381178088446183e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.860000000001215 y[1] (closed_form) = -1.10714505343472 y[1] (numeric) = -1.107145053433197 absolute error = 1.522337811366015e-12 relative error = 1.375012069686112e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.870112000001225 y[1] (closed_form) = -1.123951011934797 y[1] (numeric) = -1.123951011933258 absolute error = 1.539435245945242e-12 relative error = 1.369664006347768e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.880096000001235 y[1] (closed_form) = -1.140619093300022 y[1] (numeric) = -1.140619093298466 absolute error = 1.556088591314619e-12 relative error = 1.36424911739165e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.890080000001245 y[1] (closed_form) = -1.157360885300319 y[1] (numeric) = -1.157360885298746 absolute error = 1.572963981288922e-12 relative error = 1.359095508814228e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.900064000001255 y[1] (closed_form) = -1.174175714322846 y[1] (numeric) = -1.174175714321256 absolute error = 1.590061415868149e-12 relative error = 1.35419375181435e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.910048000001265 y[1] (closed_form) = -1.191062899474475 y[1] (numeric) = -1.191062899472867 absolute error = 1.607602939657227e-12 relative error = 1.349721278671798e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.920032000001275 y[1] (closed_form) = -1.208021752649657 y[1] (numeric) = -1.208021752648033 absolute error = 1.623590151211829e-12 relative error = 1.344007380372639e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.930016000001285 y[1] (closed_form) = -1.225051578599019 y[1] (numeric) = -1.225051578597377 absolute error = 1.641575764210756e-12 relative error = 1.340005427435209e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.940000000001295 y[1] (closed_form) = -1.242151674998659 y[1] (numeric) = -1.242151674997001 absolute error = 1.658007064975209e-12 relative error = 1.334786321466739e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.950112000001305 y[1] (closed_form) = -1.259541904843234 y[1] (numeric) = -1.259541904841558 absolute error = 1.675770633369211e-12 relative error = 1.330460405426354e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.960096000001315 y[1] (closed_form) = -1.27678128517051 y[1] (numeric) = -1.276781285168816 absolute error = 1.693756246368139e-12 relative error = 1.326582920693377e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.970080000001325 y[1] (closed_form) = -1.294088777917697 y[1] (numeric) = -1.294088777915986 absolute error = 1.711297770157216e-12 relative error = 1.32239595873078e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.980064000001335 y[1] (closed_form) = -1.311463653083228 y[1] (numeric) = -1.3114636530815 absolute error = 1.728617249341369e-12 relative error = 1.318082468604768e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 3.990048000001345 y[1] (closed_form) = -1.328905173948894 y[1] (numeric) = -1.328905173947149 absolute error = 1.745492639315671e-12 relative error = 1.313481709254597e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.000032000001355 y[1] (closed_form) = -1.346412597153281 y[1] (numeric) = -1.346412597151518 absolute error = 1.762368029289973e-12 relative error = 1.308936081715328e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.010016000001365 y[1] (closed_form) = -1.363985172765866 y[1] (numeric) = -1.363985172764086 absolute error = 1.780131597683976e-12 relative error = 1.305096003407614e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.020000000001375 y[1] (closed_form) = -1.381622144361775 y[1] (numeric) = -1.381622144359977 absolute error = 1.798117210682904e-12 relative error = 1.301453670253327e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.030112000001385 y[1] (closed_form) = -1.399550089717567 y[1] (numeric) = -1.399550089715752 absolute error = 1.814992600657206e-12 relative error = 1.296840044519933e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.040096000001395 y[1] (closed_form) = -1.417314359332548 y[1] (numeric) = -1.417314359330714 absolute error = 1.833422302865984e-12 relative error = 1.293589026875726e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.050080000001405 y[1] (closed_form) = -1.435140707465234 y[1] (numeric) = -1.435140707463383 absolute error = 1.850519737445211e-12 relative error = 1.289434358470415e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.060064000001415 y[1] (closed_form) = -1.453028352394848 y[1] (numeric) = -1.453028352392979 absolute error = 1.869615573468764e-12 relative error = 1.286702747669931e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.070048000001425 y[1] (closed_form) = -1.470976506290586 y[1] (numeric) = -1.470976506288698 absolute error = 1.888045275677541e-12 relative error = 1.283531903877032e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.080032000001435 y[1] (closed_form) = -1.488984375290141 y[1] (numeric) = -1.488984375288234 absolute error = 1.907363156306019e-12 relative error = 1.280982653652328e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.090016000001445 y[1] (closed_form) = -1.507051159578844 y[1] (numeric) = -1.507051159576918 absolute error = 1.925126724700021e-12 relative error = 1.277412987916092e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.100000000001455 y[1] (closed_form) = -1.525176053469377 y[1] (numeric) = -1.525176053467433 absolute error = 1.944222560723574e-12 relative error = 1.274752876103041e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.110112000001465 y[1] (closed_form) = -1.543591718958846 y[1] (numeric) = -1.543591718956882 absolute error = 1.963540441352052e-12 relative error = 1.272059455382711e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.120096000001475 y[1] (closed_form) = -1.561831110686986 y[1] (numeric) = -1.561831110685003 absolute error = 1.982636277375605e-12 relative error = 1.269430647020166e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.130080000001485 y[1] (closed_form) = -1.580126149939959 y[1] (numeric) = -1.580126149937958 absolute error = 2.000399845769607e-12 relative error = 1.265974774131558e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.140064000001495 y[1] (closed_form) = -1.598476008278127 y[1] (numeric) = -1.598476008276108 absolute error = 2.01905159258331e-12 relative error = 1.263110351439197e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.150048000001505 y[1] (closed_form) = -1.616879851797517 y[1] (numeric) = -1.616879851795479 absolute error = 2.037925384001937e-12 relative error = 1.260406196376519e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.160032000001515 y[1] (closed_form) = -1.635336841212942 y[1] (numeric) = -1.635336841210886 absolute error = 2.05613304160579e-12 relative error = 1.257314694922876e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.170016000001525 y[1] (closed_form) = -1.653846131941665 y[1] (numeric) = -1.65384613193959 absolute error = 2.075006833024418e-12 relative error = 1.254655311004233e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.180000000001535 y[1] (closed_form) = -1.672406874187581 y[1] (numeric) = -1.672406874185487 absolute error = 2.09454675825782e-12 relative error = 1.252414583188858e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.190112000001545 y[1] (closed_form) = -1.691257144688726 y[1] (numeric) = -1.691257144686612 absolute error = 2.113864638886298e-12 relative error = 1.249877728839012e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.200096000001555 y[1] (closed_form) = -1.709918852195357 y[1] (numeric) = -1.709918852193224 absolute error = 2.132960474909851e-12 relative error = 1.247404502366503e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.210080000001565 y[1] (closed_form) = -1.728629420279694 y[1] (numeric) = -1.728629420277544 absolute error = 2.150724043303853e-12 relative error = 1.244178780062567e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.220064000001575 y[1] (closed_form) = -1.747387979082425 y[1] (numeric) = -1.747387979080255 absolute error = 2.170041923932331e-12 relative error = 1.241877562344138e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.230048000001585 y[1] (closed_form) = -1.766193653960545 y[1] (numeric) = -1.766193653958357 absolute error = 2.187805492326333e-12 relative error = 1.238712123905756e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.240032000001595 y[1] (closed_form) = -1.785045565574549 y[1] (numeric) = -1.785045565572342 absolute error = 2.206679283744961e-12 relative error = 1.236203336375171e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.250016000001605 y[1] (closed_form) = -1.80394282997608 y[1] (numeric) = -1.803942829973855 absolute error = 2.224886941348814e-12 relative error = 1.233346702776781e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.260000000001615 y[1] (closed_form) = -1.822884558696041 y[1] (numeric) = -1.822884558693796 absolute error = 2.244426866582216e-12 relative error = 1.231250139168284e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.270112000001625 y[1] (closed_form) = -1.842113539097922 y[1] (numeric) = -1.842113539095659 absolute error = 2.263078613395919e-12 relative error = 1.228522870802059e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.280096000001635 y[1] (closed_form) = -1.861142054668592 y[1] (numeric) = -1.861142054666309 absolute error = 2.282840583234247e-12 relative error = 1.226580516789593e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.290080000001645 y[1] (closed_form) = -1.880212331328886 y[1] (numeric) = -1.880212331326584 absolute error = 2.301714374652875e-12 relative error = 1.224177895390188e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.300064000001655 y[1] (closed_form) = -1.899323463363945 y[1] (numeric) = -1.899323463361624 absolute error = 2.321698389096127e-12 relative error = 1.222381776395318e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.310048000001665 y[1] (closed_form) = -1.91847454098647 y[1] (numeric) = -1.91847454098413 absolute error = 2.340128091304905e-12 relative error = 1.219785846155469e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.320032000001675 y[1] (closed_form) = -1.937664650427404 y[1] (numeric) = -1.937664650425045 absolute error = 2.359668016538308e-12 relative error = 1.217789681004822e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.330016000001685 y[1] (closed_form) = -1.956892874027027 y[1] (numeric) = -1.956892874024647 absolute error = 2.379429986376635e-12 relative error = 1.215922454395822e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.340000000001695 y[1] (closed_form) = -1.976158290326416 y[1] (numeric) = -1.976158290324018 absolute error = 2.398081733190338e-12 relative error = 1.213506906268237e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.350112000001706 y[1] (closed_form) = -1.995707663067117 y[1] (numeric) = -1.995707663064699 absolute error = 2.417621658423741e-12 relative error = 1.211410720700547e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.360096000001715 y[1] (closed_form) = -2.015045132667534 y[1] (numeric) = -2.015045132665096 absolute error = 2.438493851286694e-12 relative error = 1.21014354058591e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.370080000001725 y[1] (closed_form) = -2.034416996741035 y[1] (numeric) = -2.034416996738578 absolute error = 2.457145598100396e-12 relative error = 1.207788571387546e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.380064000001735 y[1] (closed_form) = -2.053822319510698 y[1] (numeric) = -2.053822319508223 absolute error = 2.475353255704249e-12 relative error = 1.205242163447701e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.390048000001745 y[1] (closed_form) = -2.073260161864459 y[1] (numeric) = -2.073260161861962 absolute error = 2.497113626986902e-12 relative error = 1.204438146701896e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.400032000001755 y[1] (closed_form) = -2.09272958144872 y[1] (numeric) = -2.092729581446205 absolute error = 2.514877195380905e-12 relative error = 1.201721052578589e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.410016000001765 y[1] (closed_form) = -2.112229632762282 y[1] (numeric) = -2.112229632759747 absolute error = 2.535305299034007e-12 relative error = 1.200298139799528e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.420000000001775 y[1] (closed_form) = -2.131759367250594 y[1] (numeric) = -2.131759367248042 absolute error = 2.55218068900831e-12 relative error = 1.197218001345034e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.430112000001786 y[1] (closed_form) = -2.151568765350601 y[1] (numeric) = -2.151568765348029 absolute error = 2.572164703451563e-12 relative error = 1.195483381648936e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.440096000001795 y[1] (closed_form) = -2.171155358695023 y[1] (numeric) = -2.17115535869243 absolute error = 2.592592807104666e-12 relative error = 1.194107458373199e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.450080000001805 y[1] (closed_form) = -2.190768759888734 y[1] (numeric) = -2.190768759886121 absolute error = 2.612576821547918e-12 relative error = 1.192538833573931e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.460064000001815 y[1] (closed_form) = -2.21040800907853 y[1] (numeric) = -2.210408009075898 absolute error = 2.631228568361621e-12 relative error = 1.190381394545581e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.470048000001825 y[1] (closed_form) = -2.230072143834696 y[1] (numeric) = -2.230072143832047 absolute error = 2.648992136755624e-12 relative error = 1.187850421825627e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.480032000001835 y[1] (closed_form) = -2.249760199246936 y[1] (numeric) = -2.249760199244268 absolute error = 2.667199794359476e-12 relative error = 1.185548484346141e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.490016000001845 y[1] (closed_form) = -2.269471208020557 y[1] (numeric) = -2.26947120801787 absolute error = 2.687183808802729e-12 relative error = 1.184057237344951e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.500000000001855 y[1] (closed_form) = -2.28920420057289 y[1] (numeric) = -2.289204200570182 absolute error = 2.707611912455832e-12 relative error = 1.182774307236651e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.510112000001866 y[1] (closed_form) = -2.309211593777755 y[1] (numeric) = -2.309211593775027 absolute error = 2.727595926899085e-12 relative error = 1.181180596117168e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.520096000001876 y[1] (closed_form) = -2.328985887038637 y[1] (numeric) = -2.328985887035889 absolute error = 2.747579941342337e-12 relative error = 1.179732327547915e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.530080000001885 y[1] (closed_form) = -2.348779230046262 y[1] (numeric) = -2.348779230043496 absolute error = 2.76623168815604e-12 relative error = 1.177731671316574e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.540064000001895 y[1] (closed_form) = -2.368590645010931 y[1] (numeric) = -2.368590645008146 absolute error = 2.784883434969743e-12 relative error = 1.175755481782244e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.550048000001905 y[1] (closed_form) = -2.388419152341541 y[1] (numeric) = -2.388419152338736 absolute error = 2.804867449412995e-12 relative error = 1.174361479501276e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.560032000001915 y[1] (closed_form) = -2.408263770743232 y[1] (numeric) = -2.408263770740408 absolute error = 2.823519196226698e-12 relative error = 1.172429378595564e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.570016000001925 y[1] (closed_form) = -2.428123517315202 y[1] (numeric) = -2.428123517312359 absolute error = 2.843947299879801e-12 relative error = 1.171253142436666e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.580000000001935 y[1] (closed_form) = -2.447997407648684 y[1] (numeric) = -2.447997407645819 absolute error = 2.864819492742754e-12 relative error = 1.170270639908247e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.590112000001946 y[1] (closed_form) = -2.468139499210967 y[1] (numeric) = -2.468139499208081 absolute error = 2.885691685605707e-12 relative error = 1.169176898845558e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.600096000001956 y[1] (closed_form) = -2.488038867921845 y[1] (numeric) = -2.48803886791894 absolute error = 2.90567570004896e-12 relative error = 1.167857840772378e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.610080000001965 y[1] (closed_form) = -2.507949406423552 y[1] (numeric) = -2.507949406420626 absolute error = 2.925659714492213e-12 relative error = 1.166554519400905e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.620064000001975 y[1] (closed_form) = -2.527870125244407 y[1] (numeric) = -2.527870125241463 absolute error = 2.944311461305915e-12 relative error = 1.164740004600214e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.630048000001985 y[1] (closed_form) = -2.547800033897962 y[1] (numeric) = -2.547800033894998 absolute error = 2.963851386539318e-12 relative error = 1.163298275808885e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.640032000001995 y[1] (closed_form) = -2.567738140981731 y[1] (numeric) = -2.567738140978748 absolute error = 2.982947222562871e-12 relative error = 1.161702268215867e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.650016000002005 y[1] (closed_form) = -2.587683454276015 y[1] (numeric) = -2.58768345427301 absolute error = 3.004707593845524e-12 relative error = 1.161157323505082e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.660000000002015 y[1] (closed_form) = -2.607634980842802 y[1] (numeric) = -2.607634980839778 absolute error = 3.024247519078926e-12 relative error = 1.159766432532468e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.670112000002026 y[1] (closed_form) = -2.627847612405247 y[1] (numeric) = -2.627847612402205 absolute error = 3.042011087472929e-12 relative error = 1.157605590641004e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.680096000002036 y[1] (closed_form) = -2.647808632043612 y[1] (numeric) = -2.647808632040551 absolute error = 3.061106923496482e-12 relative error = 1.15609069569876e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.690080000002046 y[1] (closed_form) = -2.667772870068346 y[1] (numeric) = -2.667772870065267 absolute error = 3.078870491890484e-12 relative error = 1.154097684414793e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.700064000002055 y[1] (closed_form) = -2.687739331655032 y[1] (numeric) = -2.687739331651935 absolute error = 3.097522238704187e-12 relative error = 1.152463783307744e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.710048000002065 y[1] (closed_form) = -2.70770702175761 y[1] (numeric) = -2.707707021754493 absolute error = 3.116173985517889e-12 relative error = 1.150853456625133e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.720032000002075 y[1] (closed_form) = -2.727674945207559 y[1] (numeric) = -2.727674945204423 absolute error = 3.136157999961142e-12 relative error = 1.149755034217429e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.730016000002085 y[1] (closed_form) = -2.747642106813103 y[1] (numeric) = -2.747642106809946 absolute error = 3.157030192824095e-12 relative error = 1.148996146549023e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.740000000002095 y[1] (closed_form) = -2.767607511458401 y[1] (numeric) = -2.767607511455225 absolute error = 3.176570118057498e-12 relative error = 1.147767559130374e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.750112000002106 y[1] (closed_form) = -2.787826073448477 y[1] (numeric) = -2.787826073445278 absolute error = 3.198330489340151e-12 relative error = 1.14724893342571e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.760096000002116 y[1] (closed_form) = -2.807784925136272 y[1] (numeric) = -2.807784925133053 absolute error = 3.219202682203104e-12 relative error = 1.146527518323671e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.770080000002126 y[1] (closed_form) = -2.827739023219288 y[1] (numeric) = -2.827739023216049 absolute error = 3.238742607436507e-12 relative error = 1.145347070872652e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.780064000002135 y[1] (closed_form) = -2.847687373883852 y[1] (numeric) = -2.847687373880595 absolute error = 3.256950265040359e-12 relative error = 1.143717633792901e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.790048000002145 y[1] (closed_form) = -2.867628983889188 y[1] (numeric) = -2.867628983885913 absolute error = 3.275157922644212e-12 relative error = 1.142113551315246e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.800032000002155 y[1] (closed_form) = -2.887562860666427 y[1] (numeric) = -2.887562860663131 absolute error = 3.295586026297315e-12 relative error = 1.141303647857806e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.810016000002165 y[1] (closed_form) = -2.907488012417544 y[1] (numeric) = -2.907488012414229 absolute error = 3.314681862320867e-12 relative error = 1.140050052885599e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.820000000002175 y[1] (closed_form) = -2.927403448214218 y[1] (numeric) = -2.927403448210882 absolute error = 3.33599814439367e-12 relative error = 1.139575806139295e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.830112000002186 y[1] (closed_form) = -2.947563293124894 y[1] (numeric) = -2.947563293121538 absolute error = 3.355982158836923e-12 relative error = 1.138561525265515e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.840096000002196 y[1] (closed_form) = -2.967456171851548 y[1] (numeric) = -2.967456171848171 absolute error = 3.377298440909726e-12 relative error = 1.138112324268114e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.850080000002206 y[1] (closed_form) = -2.987336355389124 y[1] (numeric) = -2.987336355385725 absolute error = 3.399058812192379e-12 relative error = 1.137822597733433e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.860064000002216 y[1] (closed_form) = -3.007202857291706 y[1] (numeric) = -3.007202857288287 absolute error = 3.419486915845482e-12 relative error = 1.137098851696716e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.870048000002225 y[1] (closed_form) = -3.02705469247716 y[1] (numeric) = -3.027054692473721 absolute error = 3.439026841078885e-12 relative error = 1.136096698095862e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.880032000002235 y[1] (closed_form) = -3.046890877325316 y[1] (numeric) = -3.046890877321857 absolute error = 3.459010855522138e-12 relative error = 1.135259185441717e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.890016000002245 y[1] (closed_form) = -3.066710429776026 y[1] (numeric) = -3.066710429772546 absolute error = 3.480327137594941e-12 relative error = 1.134873088702125e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.900000000002255 y[1] (closed_form) = -3.086512369427047 y[1] (numeric) = -3.086512369423548 absolute error = 3.498534795198793e-12 relative error = 1.13349126018511e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.910112000002266 y[1] (closed_form) = -3.106549225340222 y[1] (numeric) = -3.106549225336703 absolute error = 3.518962898851896e-12 relative error = 1.132756201043783e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.920096000002276 y[1] (closed_form) = -3.126312748096977 y[1] (numeric) = -3.126312748093438 absolute error = 3.538502824085299e-12 relative error = 1.131845438764636e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.930080000002286 y[1] (closed_form) = -3.146055715286239 y[1] (numeric) = -3.146055715282682 absolute error = 3.557598660108852e-12 relative error = 1.130812351104586e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.940064000002296 y[1] (closed_form) = -3.165777154139742 y[1] (numeric) = -3.165777154136166 absolute error = 3.576250406922554e-12 relative error = 1.12965955365685e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.950048000002305 y[1] (closed_form) = -3.185476094035151 y[1] (numeric) = -3.185476094031554 absolute error = 3.597122599785507e-12 relative error = 1.129226054002154e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.960032000002315 y[1] (closed_form) = -3.205151566592814 y[1] (numeric) = -3.205151566589196 absolute error = 3.61799479264846e-12 relative error = 1.12880614769008e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.970016000002325 y[1] (closed_form) = -3.22480260577229 y[1] (numeric) = -3.224802605768651 absolute error = 3.638866985511413e-12 relative error = 1.128399914772446e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.980000000002335 y[1] (closed_form) = -3.244428247968643 y[1] (numeric) = -3.244428247964986 absolute error = 3.656630553905416e-12 relative error = 1.127049290177662e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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] = 4.990112000002346 y[1] (closed_form) = -3.26427862967609 y[1] (numeric) = -3.264278629672412 absolute error = 3.677058657558518e-12 relative error = 1.126453674674024e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 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 ) = sin ( x ) - 1 , 0 ; Iterations = 38282 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100 %