##############ECHO OF PROBLEM################# ##############temp/lin_arcsinpostode.ode################# diff ( y , x , 1 ) = arcsin ( 0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms=30; Digits=32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.8; x_end=0.8; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0 * (0.1 * x + 0.2) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); } /* 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 = 1.6 estimated_steps = 1600000 step_error = 2.635231383473649e-15 est_needed_step_err = 2.635231383473649e-15 opt_iter = 1 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 1600000 step_error = 2.65422791683061e-14 est_needed_step_err = 2.65422791683061e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 2 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 800000.0000000001 step_error = 3.753645117611135e-14 est_needed_step_err = 3.753645117611135e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 3 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 400000.0000000001 step_error = 5.308455833661219e-14 est_needed_step_err = 5.308455833661219e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 4 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 200000 step_error = 7.507290235222271e-14 est_needed_step_err = 7.507290235222271e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 5 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 100000 step_error = 1.061691166732244e-13 est_needed_step_err = 1.061691166732244e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 6 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 50000.00000000001 step_error = 1.501458047044454e-13 est_needed_step_err = 1.501458047044454e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 7 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 25000 step_error = 2.123382333464488e-13 est_needed_step_err = 2.123382333464488e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 8 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 12500 step_error = 3.002916094088908e-13 est_needed_step_err = 3.002916094088908e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 9 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 6250.000000000001 step_error = 4.246764666928975e-13 est_needed_step_err = 4.246764666928975e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 10 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 3125 step_error = 6.005832188177816e-13 est_needed_step_err = 6.005832188177816e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 11 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 1562.5 step_error = 8.493529333857951e-13 est_needed_step_err = 8.493529333857951e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 12 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 781.2500000000001 step_error = 1.201166437635563e-12 est_needed_step_err = 1.201166437635563e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 13 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 390.6250000000001 step_error = 1.69870586677159e-12 est_needed_step_err = 1.69870586677159e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 14 NO INFO (given) for Equation 1 NO 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 = 10.07208677566643 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 10.07208677566643 desired_abs_gbl_error = 1.007208677566643e-09 range = 1.6 estimated_steps = 195.3125 step_error = 2.402332875271127e-12 est_needed_step_err = 2.402332875271127e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = 10.07208677566643 y[1] (numeric) = 10.07208677566643 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = 10.07329471108875 y[1] (numeric) = 10.0732947108839 absolute error = 2.048441416491187e-10 relative error = 2.033536668232539e-09 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 11 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = 10.07451272053074 y[1] (numeric) = 10.07451272011927 absolute error = 4.114681928513164e-10 relative error = 4.084249077504166e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = 10.0757408052348 y[1] (numeric) = 10.07574080461493 absolute error = 6.198721536065932e-10 relative error = 6.152124847083615e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = 10.07697896645406 y[1] (numeric) = 10.076978965624 absolute error = 8.300595766286278e-10 relative error = 8.237186754005043e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = 10.0782272054523 y[1] (numeric) = 10.07822720441026 absolute error = 1.04203223827426e-09 relative error = 1.033943983432446e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = 10.07948552350404 y[1] (numeric) = 10.07948552224825 absolute error = 1.255791914900328e-09 relative error = 1.245888901742044e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = 10.08075392189455 y[1] (numeric) = 10.0807539204232 absolute error = 1.471342159220512e-09 relative error = 1.459555674724766e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = 10.08203240191979 y[1] (numeric) = 10.0820324002311 absolute error = 1.688682971234812e-09 relative error = 1.674943011404386e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = 10.0833209648865 y[1] (numeric) = 10.08332096297868 absolute error = 1.907816127300066e-09 relative error = 1.892051372701237e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 10.08461961211218 y[1] (numeric) = 10.08461960998344 absolute error = 2.128745180129954e-09 relative error = 2.110882970313738e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999999 y[1] (analytic) = 10.08592834492512 y[1] (numeric) = 10.08592834257364 absolute error = 2.351473682438154e-09 relative error = 2.331440004351541e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999999 y[1] (analytic) = 10.08724716466436 y[1] (numeric) = 10.08724716208836 absolute error = 2.575999857867828e-09 relative error = 2.553719380339523e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999999 y[1] (analytic) = 10.08857607267977 y[1] (numeric) = 10.08857606987744 absolute error = 2.802327259132653e-09 relative error = 2.77772327724371e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999999 y[1] (analytic) = 10.08991507033203 y[1] (numeric) = 10.08991506730157 absolute error = 3.030461215303148e-09 relative error = 3.003455622945519e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999999 y[1] (analytic) = 10.09126415899265 y[1] (numeric) = 10.09126415573225 absolute error = 3.260398173665635e-09 relative error = 3.230911531297286e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399999999999999 y[1] (analytic) = 10.09262334004395 y[1] (numeric) = 10.09262333655181 absolute error = 3.492145239647471e-09 relative error = 3.460096668615261e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299999999999999 y[1] (analytic) = 10.09399261487915 y[1] (numeric) = 10.09399261115344 absolute error = 3.725702413248655e-09 relative error = 3.691009648408844e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999999 y[1] (analytic) = 10.09537198490229 y[1] (numeric) = 10.09537198094121 absolute error = 3.961071470826028e-09 relative error = 3.923650834015669e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099999999999999 y[1] (analytic) = 10.09676145152831 y[1] (numeric) = 10.09676144733005 absolute error = 4.198254188736428e-09 relative error = 4.158020578074521e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999999 y[1] (analytic) = 10.09816101618305 y[1] (numeric) = 10.09816101174579 absolute error = 4.437255896050374e-09 relative error = 4.394122740704316e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899999999999999 y[1] (analytic) = 10.09957068030324 y[1] (numeric) = 10.09957067562516 absolute error = 4.678076592767866e-09 relative error = 4.631955892829504e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999998 y[1] (analytic) = 10.10099044533653 y[1] (numeric) = 10.10099044041581 absolute error = 4.920719831602582e-09 relative error = 4.871522112838351e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699999999999998 y[1] (analytic) = 10.10242031274152 y[1] (numeric) = 10.10242030757634 absolute error = 5.165185612554524e-09 relative error = 5.112819950720139e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999998 y[1] (analytic) = 10.10386028398774 y[1] (numeric) = 10.10386027857626 absolute error = 5.411477488337368e-09 relative error = 5.355851462943621e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999998 y[1] (analytic) = 10.10531036055568 y[1] (numeric) = 10.10531035489608 absolute error = 5.659597235307956e-09 relative error = 5.600616936417123e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999998 y[1] (analytic) = 10.10677054393681 y[1] (numeric) = 10.10677053802726 absolute error = 5.909548406179965e-09 relative error = 5.847118404924294e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999998 y[1] (analytic) = 10.1082408356336 y[1] (numeric) = 10.10824082947227 absolute error = 6.161332777310236e-09 relative error = 6.095356133176295e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999998 y[1] (analytic) = 10.10972123715951 y[1] (numeric) = 10.10972123074455 absolute error = 6.414952125055606e-09 relative error = 6.345330375160762e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5099999999999998 y[1] (analytic) = 10.11121175003901 y[1] (numeric) = 10.1112117433686 absolute error = 6.670413554843435e-09 relative error = 6.59704664459994e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999998 y[1] (analytic) = 10.11271237580762 y[1] (numeric) = 10.11271236887991 absolute error = 6.927711737603204e-09 relative error = 6.850498145459161e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999998 y[1] (analytic) = 10.11422311601191 y[1] (numeric) = 10.11422310882505 absolute error = 7.186855555119109e-09 relative error = 7.105692125519299e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999998 y[1] (analytic) = 10.11574397220948 y[1] (numeric) = 10.11574396476164 absolute error = 7.447839678320634e-09 relative error = 7.362621769374295e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999998 y[1] (analytic) = 10.11727494596905 y[1] (numeric) = 10.11727493825837 absolute error = 7.710676541705652e-09 relative error = 7.621297812784816e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999997 y[1] (analytic) = 10.1188160388704 y[1] (numeric) = 10.11881603089503 absolute error = 7.975362592560487e-09 relative error = 7.881715174901835e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4499999999999997 y[1] (analytic) = 10.12036725250442 y[1] (numeric) = 10.12036724426252 absolute error = 8.241901383598815e-09 relative error = 8.143875788261782e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999997 y[1] (analytic) = 10.12192858847314 y[1] (numeric) = 10.12192857996284 absolute error = 8.510294691177478e-09 relative error = 8.407779818629632e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999997 y[1] (analytic) = 10.12350004838971 y[1] (numeric) = 10.12350003960917 absolute error = 8.780547844366993e-09 relative error = 8.673430930405994e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999997 y[1] (analytic) = 10.12508163387845 y[1] (numeric) = 10.12508162482579 absolute error = 9.052662619524199e-09 relative error = 8.94082926623925e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999997 y[1] (analytic) = 10.12667334657483 y[1] (numeric) = 10.12667333724819 absolute error = 9.326639016649096e-09 relative error = 9.209973203888984e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999997 y[1] (analytic) = 10.12827518812551 y[1] (numeric) = 10.12827517852303 absolute error = 9.602480588455364e-09 relative error = 9.480864619193413e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999997 y[1] (analytic) = 10.12988716018836 y[1] (numeric) = 10.12988715030816 absolute error = 9.88019444037036e-09 relative error = 9.753508883298011e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999997 y[1] (analytic) = 10.13150926443245 y[1] (numeric) = 10.13150925427267 absolute error = 1.01597770196804e-08 relative error = 1.002790083343969e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999997 y[1] (analytic) = 10.13314150253809 y[1] (numeric) = 10.13314149209686 absolute error = 1.044123543181286e-08 relative error = 1.030404581757552e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999997 y[1] (analytic) = 10.13478387619685 y[1] (numeric) = 10.13478386547228 absolute error = 1.072456967676771e-08 relative error = 1.058194215858521e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999996 y[1] (analytic) = 10.13643638711155 y[1] (numeric) = 10.13643637610177 absolute error = 1.100978330725866e-08 relative error = 1.086159167462202e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3399999999999996 y[1] (analytic) = 10.13809903699629 y[1] (numeric) = 10.13809902569941 absolute error = 1.129687987599937e-08 relative error = 1.114299617193954e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299999999999996 y[1] (analytic) = 10.13977182757648 y[1] (numeric) = 10.13977181599062 absolute error = 1.158585938298984e-08 relative error = 1.142615394113754e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3199999999999996 y[1] (analytic) = 10.14145476058884 y[1] (numeric) = 10.14145474871211 absolute error = 1.187673071001427e-08 relative error = 1.171107202111572e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099999999999996 y[1] (analytic) = 10.1431478377814 y[1] (numeric) = 10.14314782561192 absolute error = 1.216948852800215e-08 relative error = 1.199774342504699e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2999999999999996 y[1] (analytic) = 10.14485106091358 y[1] (numeric) = 10.14485104844944 absolute error = 1.246414171873766e-08 relative error = 1.228617516797257e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899999999999996 y[1] (analytic) = 10.14656443175614 y[1] (numeric) = 10.14656441899544 absolute error = 1.276069205857766e-08 relative error = 1.257636724667118e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2799999999999996 y[1] (analytic) = 10.14828795209121 y[1] (numeric) = 10.14828793903207 absolute error = 1.305914132387898e-08 relative error = 1.286831964714594e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699999999999996 y[1] (analytic) = 10.15002162371235 y[1] (numeric) = 10.15002161035286 absolute error = 1.335948951464161e-08 relative error = 1.316203059452735e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2599999999999996 y[1] (analytic) = 10.15176544842452 y[1] (numeric) = 10.15176543476277 absolute error = 1.36617472890066e-08 relative error = 1.345750880318733e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499999999999996 y[1] (analytic) = 10.15351942804411 y[1] (numeric) = 10.1535194140782 absolute error = 1.396590931790342e-08 relative error = 1.375474722521282e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399999999999995 y[1] (analytic) = 10.15528356439899 y[1] (numeric) = 10.155283550127 absolute error = 1.427198448311628e-08 relative error = 1.405375280031478e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299999999999995 y[1] (analytic) = 10.15705785932846 y[1] (numeric) = 10.15705784474848 absolute error = 1.457997278464518e-08 relative error = 1.435452370811753e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199999999999995 y[1] (analytic) = 10.15884231468334 y[1] (numeric) = 10.15884229979346 absolute error = 1.488987955156063e-08 relative error = 1.465706336443391e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2099999999999995 y[1] (analytic) = 10.16063693232595 y[1] (numeric) = 10.16063691712425 absolute error = 1.520170478386262e-08 relative error = 1.496136992701567e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999999999999995 y[1] (analytic) = 10.16244171413014 y[1] (numeric) = 10.16244169861468 absolute error = 1.551545558697853e-08 relative error = 1.526744853592166e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899999999999995 y[1] (analytic) = 10.16425666198127 y[1] (numeric) = 10.16425664615014 absolute error = 1.583113196090835e-08 relative error = 1.557529732609336e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799999999999995 y[1] (analytic) = 10.16608177777631 y[1] (numeric) = 10.16608176162758 absolute error = 1.614873568200892e-08 relative error = 1.58849161702703e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1699999999999995 y[1] (analytic) = 10.16791706342378 y[1] (numeric) = 10.16791704695551 absolute error = 1.646827385570759e-08 relative error = 1.619631017147806e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599999999999995 y[1] (analytic) = 10.16976252084381 y[1] (numeric) = 10.16976250405407 absolute error = 1.678974470564754e-08 relative error = 1.650947568464406e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1499999999999995 y[1] (analytic) = 10.17161815196815 y[1] (numeric) = 10.17161813485499 absolute error = 1.711315711361294e-08 relative error = 1.682441953476365e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399999999999995 y[1] (analytic) = 10.17348395874017 y[1] (numeric) = 10.17348394130166 absolute error = 1.743851107960381e-08 relative error = 1.714113980061095e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1299999999999994 y[1] (analytic) = 10.17535994311491 y[1] (numeric) = 10.1753599253491 absolute error = 1.776581015633383e-08 relative error = 1.745963804293227e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199999999999995 y[1] (analytic) = 10.1772461070591 y[1] (numeric) = 10.17724608896405 absolute error = 1.809505612015982e-08 relative error = 1.777991406497363e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1099999999999995 y[1] (analytic) = 10.17914245255114 y[1] (numeric) = 10.17914243412489 absolute error = 1.842625607650916e-08 relative error = 1.810197289447609e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999999999999946 y[1] (analytic) = 10.18104898158115 y[1] (numeric) = 10.18104896282175 absolute error = 1.8759408249025e-08 relative error = 1.842581082063667e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08999999999999947 y[1] (analytic) = 10.18296569615101 y[1] (numeric) = 10.18296567705648 absolute error = 1.909452151949154e-08 relative error = 1.875143459111225e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07999999999999947 y[1] (analytic) = 10.18489259827431 y[1] (numeric) = 10.18489257884271 absolute error = 1.943159588790877e-08 relative error = 1.907884221695297e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06999999999999948 y[1] (analytic) = 10.18682968997644 y[1] (numeric) = 10.18682967020581 absolute error = 1.977063313063354e-08 relative error = 1.940803344350333e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05999999999999948 y[1] (analytic) = 10.1887769732946 y[1] (numeric) = 10.18877695318296 absolute error = 2.011164035309321e-08 relative error = 1.973901323564843e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04999999999999948 y[1] (analytic) = 10.19073445027777 y[1] (numeric) = 10.19073442982315 absolute error = 2.045461933164461e-08 relative error = 2.00717813141398e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03999999999999947 y[1] (analytic) = 10.19270212298679 y[1] (numeric) = 10.19270210218722 absolute error = 2.079957184264458e-08 relative error = 2.040633738892159e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02999999999999947 y[1] (analytic) = 10.19467999349435 y[1] (numeric) = 10.19467997234784 absolute error = 2.114650321516365e-08 relative error = 2.074268464400856e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01999999999999947 y[1] (analytic) = 10.196668063885 y[1] (numeric) = 10.19666804238958 absolute error = 2.149541700191548e-08 relative error = 2.108082450781043e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009999999999999469 y[1] (analytic) = 10.19866633625522 y[1] (numeric) = 10.1986663144089 absolute error = 2.184631497925693e-08 relative error = 2.142075665481428e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.30825383648903e-16 y[1] (analytic) = 10.20067481271337 y[1] (numeric) = 10.20067479051417 absolute error = 2.219920247625851e-08 relative error = 2.176248423152461e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01000000000000053 y[1] (analytic) = 10.20269349537979 y[1] (numeric) = 10.20269347282571 absolute error = 2.255408304563389e-08 relative error = 2.210600862982636e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000053 y[1] (analytic) = 10.20472238638674 y[1] (numeric) = 10.20472236347578 absolute error = 2.291096024009676e-08 relative error = 2.245133122941231e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000053 y[1] (analytic) = 10.20676148787849 y[1] (numeric) = 10.20676146460865 absolute error = 2.326983405964711e-08 relative error = 2.279844991703027e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000054 y[1] (analytic) = 10.2088108020113 y[1] (numeric) = 10.20881077838058 absolute error = 2.363071693878283e-08 relative error = 2.314737475017873e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000054 y[1] (analytic) = 10.21087033095346 y[1] (numeric) = 10.21087030695986 absolute error = 2.399360532479022e-08 relative error = 2.349810011009097e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000054 y[1] (analytic) = 10.21294007688531 y[1] (numeric) = 10.21294005252681 absolute error = 2.435850099402614e-08 relative error = 2.385062558935024e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000053 y[1] (analytic) = 10.21502004199925 y[1] (numeric) = 10.21502001727384 absolute error = 2.472540927556111e-08 relative error = 2.420495424766875e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000053 y[1] (analytic) = 10.21711022849977 y[1] (numeric) = 10.21711020340543 absolute error = 2.509434082753614e-08 relative error = 2.456109434694908e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000052 y[1] (analytic) = 10.21921063860349 y[1] (numeric) = 10.2192106131382 absolute error = 2.546529209723758e-08 relative error = 2.491904022512403e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000005 y[1] (analytic) = 10.22132127453915 y[1] (numeric) = 10.22132124870088 absolute error = 2.583827019009277e-08 relative error = 2.527879664095359e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000005 y[1] (analytic) = 10.22344213854765 y[1] (numeric) = 10.22344211233438 absolute error = 2.621327155338804e-08 relative error = 2.564035791287016e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000005 y[1] (analytic) = 10.22557323288208 y[1] (numeric) = 10.22557320629176 absolute error = 2.659031395069178e-08 relative error = 2.60037391988804e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000005 y[1] (analytic) = 10.22771455980771 y[1] (numeric) = 10.22771453283832 absolute error = 2.696938672386295e-08 relative error = 2.636892784419866e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000005 y[1] (analytic) = 10.22986612160207 y[1] (numeric) = 10.22986609425157 absolute error = 2.735050408375628e-08 relative error = 2.673593550359483e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000005 y[1] (analytic) = 10.23202792055493 y[1] (numeric) = 10.23202789282126 absolute error = 2.773366425401491e-08 relative error = 2.710475818610824e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000005 y[1] (analytic) = 10.2341999589683 y[1] (numeric) = 10.23419993084943 absolute error = 2.811887256370937e-08 relative error = 2.747539883571319e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000005 y[1] (analytic) = 10.23638223915654 y[1] (numeric) = 10.23638221065041 absolute error = 2.850613434191018e-08 relative error = 2.784786038261407e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000005 y[1] (analytic) = 10.2385747634463 y[1] (numeric) = 10.23857473455084 absolute error = 2.889545314133102e-08 relative error = 2.822214400825924e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000006 y[1] (analytic) = 10.24077753417656 y[1] (numeric) = 10.24077750488973 absolute error = 2.928683073832872e-08 relative error = 2.859824914718607e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000006 y[1] (analytic) = 10.24299055369871 y[1] (numeric) = 10.24299052401843 absolute error = 2.968027423833064e-08 relative error = 2.897618042575779e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000006 y[1] (analytic) = 10.24521382437648 y[1] (numeric) = 10.2452137943007 absolute error = 3.007578364133678e-08 relative error = 2.935593551964463e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000006 y[1] (analytic) = 10.24744734858608 y[1] (numeric) = 10.24744731811271 absolute error = 3.047336960548819e-08 relative error = 2.973752249597345e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000006 y[1] (analytic) = 10.24969112871609 y[1] (numeric) = 10.24969109784306 absolute error = 3.087302857807117e-08 relative error = 3.012093553880431e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000006 y[1] (analytic) = 10.25194516716761 y[1] (numeric) = 10.25194513589284 absolute error = 3.127476944086993e-08 relative error = 3.05061809548387e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000006 y[1] (analytic) = 10.25420946635421 y[1] (numeric) = 10.25420943467561 absolute error = 3.167859397024131e-08 relative error = 3.089325810457074e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000006 y[1] (analytic) = 10.25648402870197 y[1] (numeric) = 10.25648399661746 absolute error = 3.208450927161266e-08 relative error = 3.128217153346768e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000006 y[1] (analytic) = 10.25876885664951 y[1] (numeric) = 10.25876882415699 absolute error = 3.249251712134082e-08 relative error = 3.167292057689738e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000006 y[1] (analytic) = 10.26106395264803 y[1] (numeric) = 10.26106391974541 absolute error = 3.290262107213948e-08 relative error = 3.206550629055231e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000006 y[1] (analytic) = 10.2633693191613 y[1] (numeric) = 10.26336928584647 absolute error = 3.331483000579283e-08 relative error = 3.245993491006444e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000007 y[1] (analytic) = 10.26568495866573 y[1] (numeric) = 10.26568492493659 absolute error = 3.372914036958718e-08 relative error = 3.285620054131399e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000007 y[1] (analytic) = 10.26801087365035 y[1] (numeric) = 10.26801083950478 absolute error = 3.414556282166359e-08 relative error = 3.325431112396613e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000007 y[1] (analytic) = 10.27034706661686 y[1] (numeric) = 10.27034703205276 absolute error = 3.456409913837888e-08 relative error = 3.365426593101941e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000007 y[1] (analytic) = 10.27269354007966 y[1] (numeric) = 10.27269350509491 absolute error = 3.498475464880357e-08 relative error = 3.405606768303561e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000007 y[1] (analytic) = 10.27505029656588 y[1] (numeric) = 10.27505026115835 absolute error = 3.540753112929451e-08 relative error = 3.445971562896232e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000007 y[1] (analytic) = 10.27741733861537 y[1] (numeric) = 10.27741730278293 absolute error = 3.583243923799273e-08 relative error = 3.486521764895097e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000007 y[1] (analytic) = 10.27979466878078 y[1] (numeric) = 10.2797946325213 absolute error = 3.625947897489823e-08 relative error = 3.527257123628787e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000007 y[1] (analytic) = 10.28218228962753 y[1] (numeric) = 10.28218225293888 absolute error = 3.668865211636785e-08 relative error = 3.568177560261566e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000007 y[1] (analytic) = 10.2845802037339 y[1] (numeric) = 10.28458016661393 absolute error = 3.711996932054262e-08 relative error = 3.609283858476395e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000007 y[1] (analytic) = 10.28698841369098 y[1] (numeric) = 10.28698837613755 absolute error = 3.755343058742255e-08 relative error = 3.650575763985753e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000007 y[1] (analytic) = 10.28940692210279 y[1] (numeric) = 10.28940688411375 absolute error = 3.7989043022435e-08 relative error = 3.692053712136733e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000008 y[1] (analytic) = 10.29183573158622 y[1] (numeric) = 10.29183569315941 absolute error = 3.84268084019368e-08 relative error = 3.733717618908625e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000008 y[1] (analytic) = 10.2942748447711 y[1] (numeric) = 10.29427480590437 absolute error = 3.886673560771214e-08 relative error = 3.775568089427319e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000008 y[1] (analytic) = 10.29672426430025 y[1] (numeric) = 10.29672422499142 absolute error = 3.930882463976104e-08 relative error = 3.817604864495459e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000008 y[1] (analytic) = 10.29918399282944 y[1] (numeric) = 10.29918395307635 absolute error = 3.975308260351085e-08 relative error = 3.859828373897194e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000008 y[1] (analytic) = 10.30165403302748 y[1] (numeric) = 10.30165399282797 absolute error = 4.019951482803208e-08 relative error = 3.902238873403334e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000008 y[1] (analytic) = 10.30413438757624 y[1] (numeric) = 10.30413434692812 absolute error = 4.064812308968158e-08 relative error = 3.944836272583097e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000008 y[1] (analytic) = 10.30662505917064 y[1] (numeric) = 10.30662501807173 absolute error = 4.10989144938867e-08 relative error = 3.987620996973946e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000008 y[1] (analytic) = 10.30912605051872 y[1] (numeric) = 10.30912600896683 absolute error = 4.155189436971796e-08 relative error = 4.030593298219222e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000008 y[1] (analytic) = 10.31163736434164 y[1] (numeric) = 10.31163732233458 absolute error = 4.200706626988904e-08 relative error = 4.073753254274862e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000008 y[1] (analytic) = 10.31415900337374 y[1] (numeric) = 10.3141589609093 absolute error = 4.246443374711362e-08 relative error = 4.117100941843498e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000008 y[1] (analytic) = 10.31669097036253 y[1] (numeric) = 10.31669092743852 absolute error = 4.292400568317589e-08 relative error = 4.160636952922857e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000008 y[1] (analytic) = 10.31923326806874 y[1] (numeric) = 10.31923322468296 absolute error = 4.33857838544327e-08 relative error = 4.204361189186724e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000008 y[1] (analytic) = 10.32178589926638 y[1] (numeric) = 10.3217858554166 absolute error = 4.384977536631141e-08 relative error = 4.248274067516555e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000008 y[1] (analytic) = 10.3243488667427 y[1] (numeric) = 10.32434882242672 absolute error = 4.431598377152568e-08 relative error = 4.292375659086695e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000008 y[1] (analytic) = 10.32692217329828 y[1] (numeric) = 10.32692212851387 absolute error = 4.478441084643237e-08 relative error = 4.336665861802347e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000008 y[1] (analytic) = 10.32950582174704 y[1] (numeric) = 10.32950577649197 absolute error = 4.52550672491725e-08 relative error = 4.381145432329934e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000008 y[1] (analytic) = 10.33209981491626 y[1] (numeric) = 10.3320997691883 absolute error = 4.572795653245976e-08 relative error = 4.425814437685084e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000008 y[1] (analytic) = 10.33470415564661 y[1] (numeric) = 10.33470410944353 absolute error = 4.620308047265098e-08 relative error = 4.4706727717413e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000009 y[1] (analytic) = 10.33731884679223 y[1] (numeric) = 10.33731880011178 absolute error = 4.668044617517353e-08 relative error = 4.515720842804316e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000009 y[1] (analytic) = 10.33994389122067 y[1] (numeric) = 10.33994384406061 absolute error = 4.716006074545476e-08 relative error = 4.56095905757254e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000009 y[1] (analytic) = 10.342579291813 y[1] (numeric) = 10.34257924417107 absolute error = 4.764192951256518e-08 relative error = 4.606387649382361e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000009 y[1] (analytic) = 10.34522505146382 y[1] (numeric) = 10.34522500333776 absolute error = 4.812605425286165e-08 relative error = 4.652006506717025e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000009 y[1] (analytic) = 10.34788117308126 y[1] (numeric) = 10.34788112446882 absolute error = 4.861244207177151e-08 relative error = 4.697816031965152e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000009 y[1] (analytic) = 10.35054765958705 y[1] (numeric) = 10.35054761048596 absolute error = 4.910109652200845e-08 relative error = 4.743816282661066e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000009 y[1] (analytic) = 10.35322451391654 y[1] (numeric) = 10.35322446432452 absolute error = 4.959202648535666e-08 relative error = 4.790007829801847e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000009 y[1] (analytic) = 10.35591173901872 y[1] (numeric) = 10.35591168893349 absolute error = 5.008523551452981e-08 relative error = 4.83639072799549e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000009 y[1] (analytic) = 10.35860933785628 y[1] (numeric) = 10.35860928727555 absolute error = 5.058072893859844e-08 relative error = 4.882965202070857e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000009 y[1] (analytic) = 10.36131731340558 y[1] (numeric) = 10.36131726232707 absolute error = 5.107851031027622e-08 relative error = 4.929731303971387e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000009 y[1] (analytic) = 10.36403566865679 y[1] (numeric) = 10.3640356170782 absolute error = 5.157858851134733e-08 relative error = 4.976689598563692e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700000000000001 y[1] (analytic) = 10.3667644066138 y[1] (numeric) = 10.36676435453283 absolute error = 5.208096531816864e-08 relative error = 5.02383996350317e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.710000000000001 y[1] (analytic) = 10.36950353029435 y[1] (numeric) = 10.3695034777087 absolute error = 5.258564961252432e-08 relative error = 5.071182960582069e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.720000000000001 y[1] (analytic) = 10.37225304273001 y[1] (numeric) = 10.37225298963737 absolute error = 5.309264494712806e-08 relative error = 5.118718635999832e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.730000000000001 y[1] (analytic) = 10.37501294696623 y[1] (numeric) = 10.37501289336427 absolute error = 5.360196020376407e-08 relative error = 5.166447548331771e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.740000000000001 y[1] (analytic) = 10.37778324606237 y[1] (numeric) = 10.37778319194878 absolute error = 5.411359538243232e-08 relative error = 5.214369398490237e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.750000000000001 y[1] (analytic) = 10.38056394309175 y[1] (numeric) = 10.38056388846419 absolute error = 5.462755936491703e-08 relative error = 5.262484742100319e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.760000000000001 y[1] (analytic) = 10.38335504114164 y[1] (numeric) = 10.38335498599778 absolute error = 5.514385748028872e-08 relative error = 5.310793790811734e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.770000000000001 y[1] (analytic) = 10.38615654331334 y[1] (numeric) = 10.38615648765085 absolute error = 5.566249505761789e-08 relative error = 5.359296754818669e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.780000000000001 y[1] (analytic) = 10.38896845272222 y[1] (numeric) = 10.38896839653874 absolute error = 5.618347920233191e-08 relative error = 5.407994013843612e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.790000000000001 y[1] (analytic) = 10.3917907724977 y[1] (numeric) = 10.39179071579088 absolute error = 5.67068152435013e-08 relative error = 5.456885775027171e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 NO INFO (given) for Equation 1 NO 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 ) = arcsin ( 0.1 * x + 0.2 ) ; Iterations = 160 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100.6 %