##############ECHO OF PROBLEM################# ##############temp/sing2postode.ode################# diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = -2.0; x_end = 1.0; glob_h = 0.00001; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles = true; glob_max_iter = 100; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(arctan(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -2 y[1] (analytic) = -1.10714871779409 y[1] (numeric) = -1.10714871779409 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.244 Order of pole = 2.182 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.895000000000002 y[1] (analytic) = -1.085231559798673 y[1] (numeric) = -1.085231559798667 absolute error = 5.329070518200751e-15 relative error = 4.910537728177917e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.15 Order of pole = 2.174 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.795000000000004 y[1] (analytic) = -1.062516069230159 y[1] (numeric) = -1.062516069230149 absolute error = 9.547918011776346e-15 relative error = 8.986139869577921e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.061 Order of pole = 2.163 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.695000000000007 y[1] (analytic) = -1.037784098455479 y[1] (numeric) = -1.037784098455469 absolute error = 1.043609643147647e-14 relative error = 1.005613445706904e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.973 Order of pole = 2.162 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.595000000000009 y[1] (analytic) = -1.010789354723436 y[1] (numeric) = -1.01078935472343 absolute error = 5.995204332975845e-15 relative error = 5.931210400030584e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.889 Order of pole = 2.175 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.495000000000011 y[1] (analytic) = -0.9812517044232885 y[1] (numeric) = -0.9812517044232958 absolute error = 7.327471962526033e-15 relative error = 7.467474379402594e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.805 Order of pole = 2.186 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.395000000000013 y[1] (analytic) = -0.9488536490674688 y[1] (numeric) = -0.9488536490675048 absolute error = 3.597122599785507e-14 relative error = 3.791019408863265e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.722 Order of pole = 2.179 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.295000000000015 y[1] (analytic) = -0.9132374644013567 y[1] (numeric) = -0.9132374644014443 absolute error = 8.759659664292485e-14 relative error = 9.591875066179634e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.641 Order of pole = 2.17 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.195000000000017 y[1] (analytic) = -0.8740038217703843 y[1] (numeric) = -0.8740038217705585 absolute error = 1.741939925636871e-13 relative error = 1.99305756135985e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.564 Order of pole = 2.182 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -1.095000000000019 y[1] (analytic) = -0.8307131825617976 y[1] (numeric) = -0.8307131825621061 absolute error = 3.08530978543331e-13 relative error = 3.714049385756305e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.488 Order of pole = 2.186 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.9950000000000213 y[1] (analytic) = -0.7828919029808709 y[1] (numeric) = -0.7828919029813748 absolute error = 5.039302308773586e-13 relative error = 6.436779189548874e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.415 Order of pole = 2.175 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.8950000000000212 y[1] (analytic) = -0.7300457928869298 y[1] (numeric) = -0.7300457928876974 absolute error = 7.676081992258332e-13 relative error = 1.051452123558393e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.347 Order of pole = 2.188 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.7950000000000211 y[1] (analytic) = -0.6716847170203446 y[1] (numeric) = -0.6716847170214266 absolute error = 1.082023359799678e-12 relative error = 1.610909601456518e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.282 Order of pole = 2.18 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.695000000000021 y[1] (analytic) = -0.6073623712888383 y[1] (numeric) = -0.6073623712902287 absolute error = 1.390443316040546e-12 relative error = 2.2893142245378e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.222 Order of pole = 2.187 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.595000000000021 y[1] (analytic) = -0.5367349185660487 y[1] (numeric) = -0.5367349185676215 absolute error = 1.572741936683997e-12 relative error = 2.930202381625858e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.168 Order of pole = 2.181 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.4950000000000209 y[1] (analytic) = -0.4596396144303989 y[1] (numeric) = -0.4596396144318468 absolute error = 1.447897357564898e-12 relative error = 3.15007086445145e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.12 Order of pole = 2.19 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.3950000000000208 y[1] (analytic) = -0.3761886146528202 y[1] (numeric) = -0.3761886146536493 absolute error = 8.291700659412982e-13 relative error = 2.204133867013835e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.079 Order of pole = 2.182 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.2950000000000207 y[1] (analytic) = -0.2868633495226974 y[1] (numeric) = -0.286863349522357 absolute error = 3.403388681988417e-13 relative error = 1.186414607391012e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.046 Order of pole = 2.185 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.1950000000000206 y[1] (analytic) = -0.1925832774599384 y[1] (numeric) = -0.1925832774581054 absolute error = 1.832950458080518e-12 relative error = 9.517703106189022e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.023 Order of pole = 2.191 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = -0.09500000000002051 y[1] (analytic) = -0.09471574598849611 y[1] (numeric) = -0.09471574598537935 absolute error = 3.116756852605818e-12 relative error = 3.290642775473013e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.008 Order of pole = 2.187 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.004999999999979504 y[1] (analytic) = 0.004999958333937827 y[1] (numeric) = 0.00499995833754188 absolute error = 3.604053687433773e-12 relative error = 7.208167442058105e-08 % Correct digits = 9 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.004 Order of pole = 2.182 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.1049999999999795 y[1] (analytic) = 0.1046166576324995 y[1] (numeric) = 0.1046166576355469 absolute error = 3.047437302505784e-12 relative error = 2.912956092719874e-09 % Correct digits = 10 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.009 Order of pole = 2.185 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.2049999999999796 y[1] (analytic) = 0.2021985968828419 y[1] (numeric) = 0.2021985968845703 absolute error = 1.728367449160828e-12 relative error = 8.547870637115647e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.025 Order of pole = 2.19 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.3049999999999797 y[1] (analytic) = 0.2960376144748844 y[1] (numeric) = 0.296037614475128 absolute error = 2.436384427539906e-13 relative error = 8.229982638731902e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.049 Order of pole = 2.187 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.4049999999999798 y[1] (analytic) = 0.3848092765458438 y[1] (numeric) = 0.3848092765449526 absolute error = 8.912315330178444e-13 relative error = 2.316034428841709e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.083 Order of pole = 2.181 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.5049999999999798 y[1] (analytic) = 0.467639603763213 y[1] (numeric) = 0.4676396037617417 absolute error = 1.471267552233257e-12 relative error = 3.146156870362559e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.124 Order of pole = 2.189 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.6049999999999799 y[1] (analytic) = 0.5440878623922462 y[1] (numeric) = 0.5440878623906777 absolute error = 1.568412066887959e-12 relative error = 2.882644836060049e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.173 Order of pole = 2.183 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.70499999999998 y[1] (analytic) = 0.6140737925244909 y[1] (numeric) = 0.6140737925231188 absolute error = 1.372124636134231e-12 relative error = 2.234462132789207e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.228 Order of pole = 2.185 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.8049999999999801 y[1] (analytic) = 0.6777822953765873 y[1] (numeric) = 0.6777822953755269 absolute error = 1.060374010819487e-12 relative error = 1.564475817755501e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.288 Order of pole = 2.182 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 0.9049999999999802 y[1] (analytic) = 0.7355706748615515 y[1] (numeric) = 0.7355706748608032 absolute error = 7.482903185973555e-13 relative error = 1.017292211571917e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.354 Order of pole = 2.187 Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used Complex estimate of poles used x[1] = 1.00499999999998 y[1] (analytic) = 0.7878919238140273 y[1] (numeric) = 0.7878919238135379 absolute error = 4.89386309254769e-13 relative error = 6.211338058724447e-11 % Correct digits = 12 h = 0.005 Finished! diff ( y , x , 1 ) = 1.0/ (x * x + 1.0) ; Iterations = 601 Total Elapsed Time = 46 Seconds Elapsed Time(since restart) = 46 Seconds Time to Timeout = 9 Minutes 14 Seconds Percent Done = 100.3 %