##############ECHO OF PROBLEM################# ##############temp/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = -1.0; x_end = -0.7; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.1; glob_look_poles = true; glob_max_iter = 100000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(1.0/x/x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -1 y[1] (analytic) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 2.082 x[1] = -0.99999 y[1] (analytic) = 1.000020000300004 y[1] (numeric) = 1.000020000300004 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 2.082 x[1] = -0.9999800000000001 y[1] (analytic) = 1.000040001200032 y[1] (numeric) = 1.000040001200032 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 2.082 x[1] = -0.9999700000000001 y[1] (analytic) = 1.000060002700108 y[1] (numeric) = 1.000060002700108 absolute error = 2.220446049250313e-16 relative error = 2.22031282448576e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.5916 Order of pole = 0.675 x[1] = -0.9999600000000002 y[1] (analytic) = 1.000080004800256 y[1] (numeric) = 1.000080004800256 absolute error = 2.220446049250313e-16 relative error = 2.220268417119088e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.002 Order of pole = 2.082 x[1] = -0.9999500000000002 y[1] (analytic) = 1.0001000075005 y[1] (numeric) = 1.0001000075005 absolute error = 2.220446049250313e-16 relative error = 2.220224010196504e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9999400000000003 y[1] (analytic) = 1.000120010800863 y[1] (numeric) = 1.000120010800864 absolute error = 4.440892098500626e-16 relative error = 4.44035920743602e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9999300000000003 y[1] (analytic) = 1.000140014701371 y[1] (numeric) = 1.000140014701372 absolute error = 4.440892098500626e-16 relative error = 4.44027039536721e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9999200000000004 y[1] (analytic) = 1.000160019202047 y[1] (numeric) = 1.000160019202048 absolute error = 6.661338147750939e-16 relative error = 6.660272376279868e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9999100000000004 y[1] (analytic) = 1.000180024302916 y[1] (numeric) = 1.000180024302916 absolute error = 6.661338147750939e-16 relative error = 6.660139160841189e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9999000000000005 y[1] (analytic) = 1.000200030003999 y[1] (numeric) = 1.000200030004 absolute error = 8.881784197001252e-16 relative error = 8.880007928979703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998900000000005 y[1] (analytic) = 1.000220036305324 y[1] (numeric) = 1.000220036305325 absolute error = 8.881784197001252e-16 relative error = 8.87983031194751e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998800000000005 y[1] (analytic) = 1.000240043206912 y[1] (numeric) = 1.000240043206913 absolute error = 1.110223024625157e-15 relative error = 1.109956587086459e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998700000000006 y[1] (analytic) = 1.000260050708788 y[1] (numeric) = 1.000260050708789 absolute error = 1.110223024625157e-15 relative error = 1.109934385401525e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998600000000006 y[1] (analytic) = 1.000280058810977 y[1] (numeric) = 1.000280058810978 absolute error = 1.110223024625157e-15 relative error = 1.109912183938634e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998500000000007 y[1] (analytic) = 1.000300067513501 y[1] (numeric) = 1.000300067513502 absolute error = 1.110223024625157e-15 relative error = 1.109889982697788e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998400000000007 y[1] (analytic) = 1.000320076816386 y[1] (numeric) = 1.000320076816387 absolute error = 1.332267629550188e-15 relative error = 1.331841338014785e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998300000000008 y[1] (analytic) = 1.000340086719655 y[1] (numeric) = 1.000340086719656 absolute error = 1.554312234475219e-15 relative error = 1.553783813235124e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998200000000008 y[1] (analytic) = 1.000360097223332 y[1] (numeric) = 1.000360097223333 absolute error = 1.77635683940025e-15 relative error = 1.775717408492031e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998100000000009 y[1] (analytic) = 1.000380108327441 y[1] (numeric) = 1.000380108327443 absolute error = 1.77635683940025e-15 relative error = 1.775681887927763e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9998000000000009 y[1] (analytic) = 1.000400120032006 y[1] (numeric) = 1.000400120032008 absolute error = 1.77635683940025e-15 relative error = 1.775646367718767e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999790000000001 y[1] (analytic) = 1.000420132337052 y[1] (numeric) = 1.000420132337054 absolute error = 1.998401444325282e-15 relative error = 1.997562203848173e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999780000000001 y[1] (analytic) = 1.000440145242602 y[1] (numeric) = 1.000440145242604 absolute error = 2.220446049250313e-15 relative error = 2.219469160458236e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999770000000001 y[1] (analytic) = 1.00046015874868 y[1] (numeric) = 1.000460158748682 absolute error = 2.442490654175344e-15 relative error = 2.441367237682184e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9997600000000011 y[1] (analytic) = 1.00048017285531 y[1] (numeric) = 1.000480172855313 absolute error = 2.664535259100376e-15 relative error = 2.663256435653245e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9081 Order of pole = 0.9126 x[1] = -0.9997500000000011 y[1] (analytic) = 1.000500187562517 y[1] (numeric) = 1.00050018756252 absolute error = 2.664535259100376e-15 relative error = 2.663203158004285e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9997400000000012 y[1] (analytic) = 1.000520202870324 y[1] (numeric) = 1.000520202870327 absolute error = 2.886579864025407e-15 relative error = 2.88507903762892e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9997300000000012 y[1] (analytic) = 1.000540218778756 y[1] (numeric) = 1.000540218778759 absolute error = 2.886579864025407e-15 relative error = 2.885021321330512e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.5362 Order of pole = 0.6438 x[1] = -0.9997200000000013 y[1] (analytic) = 1.000560235287836 y[1] (numeric) = 1.000560235287839 absolute error = 3.108624468950438e-15 relative error = 3.106883882963992e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9997100000000013 y[1] (analytic) = 1.000580252397589 y[1] (numeric) = 1.000580252397592 absolute error = 3.33066907387547e-15 relative error = 3.3287375659219e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9997000000000014 y[1] (analytic) = 1.000600270108038 y[1] (numeric) = 1.000600270108041 absolute error = 3.33066907387547e-15 relative error = 3.32867097219137e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996900000000014 y[1] (analytic) = 1.000620288419207 y[1] (numeric) = 1.000620288419211 absolute error = 3.33066907387547e-15 relative error = 3.328604379126974e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996800000000015 y[1] (analytic) = 1.000640307331122 y[1] (numeric) = 1.000640307331125 absolute error = 3.33066907387547e-15 relative error = 3.328537786728712e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996700000000015 y[1] (analytic) = 1.000660326843804 y[1] (numeric) = 1.000660326843808 absolute error = 3.552713678800501e-15 relative error = 3.550369274663023e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996600000000015 y[1] (analytic) = 1.00068034695728 y[1] (numeric) = 1.000680346957283 absolute error = 3.552713678800501e-15 relative error = 3.550298244192629e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996500000000016 y[1] (analytic) = 1.000700367671572 y[1] (numeric) = 1.000700367671576 absolute error = 3.774758283725532e-15 relative error = 3.772116415334827e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996400000000016 y[1] (analytic) = 1.000720388986705 y[1] (numeric) = 1.000720388986708 absolute error = 3.774758283725532e-15 relative error = 3.772040946969936e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.3293 Order of pole = 0.5543 x[1] = -0.9996300000000017 y[1] (analytic) = 1.000740410902702 y[1] (numeric) = 1.000740410902706 absolute error = 3.996802888650564e-15 relative error = 3.993845801675291e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996200000000017 y[1] (analytic) = 1.000760433419589 y[1] (numeric) = 1.000760433419593 absolute error = 3.996802888650564e-15 relative error = 3.99376589559354e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996100000000018 y[1] (analytic) = 1.000780456537388 y[1] (numeric) = 1.000780456537392 absolute error = 3.996802888650564e-15 relative error = 3.99368599031115e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9996000000000018 y[1] (analytic) = 1.000800480256124 y[1] (numeric) = 1.000800480256129 absolute error = 4.218847493575595e-15 relative error = 4.215473090596349e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995900000000019 y[1] (analytic) = 1.000820504575822 y[1] (numeric) = 1.000820504575826 absolute error = 4.218847493575595e-15 relative error = 4.215388747819142e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995800000000019 y[1] (analytic) = 1.000840529496504 y[1] (numeric) = 1.000840529496508 absolute error = 4.218847493575595e-15 relative error = 4.215304405885705e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999570000000002 y[1] (analytic) = 1.000860555018195 y[1] (numeric) = 1.000860555018199 absolute error = 4.440892098500626e-15 relative error = 4.437073752416882e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999560000000002 y[1] (analytic) = 1.00088058114092 y[1] (numeric) = 1.000880581140924 absolute error = 4.440892098500626e-15 relative error = 4.436984973210673e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999550000000002 y[1] (analytic) = 1.000900607864701 y[1] (numeric) = 1.000900607864706 absolute error = 4.440892098500626e-15 relative error = 4.436896194892643e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995400000000021 y[1] (analytic) = 1.000920635189564 y[1] (numeric) = 1.000920635189569 absolute error = 4.662936703425657e-15 relative error = 4.658647788335931e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995300000000021 y[1] (analytic) = 1.000940663115532 y[1] (numeric) = 1.000940663115537 absolute error = 4.884981308350689e-15 relative error = 4.880390505013231e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995200000000022 y[1] (analytic) = 1.000960691642629 y[1] (numeric) = 1.000960691642634 absolute error = 4.884981308350689e-15 relative error = 4.880292851794387e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.5978 Order of pole = 0.6788 x[1] = -0.9995100000000022 y[1] (analytic) = 1.00098072077088 y[1] (numeric) = 1.000980720770885 absolute error = 5.10702591327572e-15 relative error = 5.102022254077655e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9995000000000023 y[1] (analytic) = 1.001000750500308 y[1] (numeric) = 1.001000750500313 absolute error = 5.10702591327572e-15 relative error = 5.101920164118946e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994900000000023 y[1] (analytic) = 1.001020780830938 y[1] (numeric) = 1.001020780830943 absolute error = 5.10702591327572e-15 relative error = 5.101818075181642e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994800000000024 y[1] (analytic) = 1.001040811762793 y[1] (numeric) = 1.001040811762798 absolute error = 5.329070518200751e-15 relative error = 5.323529725842516e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.1832 Order of pole = 0.5168 x[1] = -0.9994700000000024 y[1] (analytic) = 1.001060843295898 y[1] (numeric) = 1.001060843295903 absolute error = 5.551115123125783e-15 relative error = 5.545232500403534e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994600000000025 y[1] (analytic) = 1.001080875430276 y[1] (numeric) = 1.001080875430282 absolute error = 5.551115123125783e-15 relative error = 5.545121537498004e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994500000000025 y[1] (analytic) = 1.001100908165953 y[1] (numeric) = 1.001100908165958 absolute error = 5.551115123125783e-15 relative error = 5.545010575702697e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994400000000025 y[1] (analytic) = 1.001120941502951 y[1] (numeric) = 1.001120941502956 absolute error = 5.551115123125783e-15 relative error = 5.544899615017613e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994300000000026 y[1] (analytic) = 1.001140975441295 y[1] (numeric) = 1.001140975441301 absolute error = 5.551115123125783e-15 relative error = 5.544788655442751e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994200000000026 y[1] (analytic) = 1.001161009981009 y[1] (numeric) = 1.001161009981015 absolute error = 5.773159728050814e-15 relative error = 5.766464804857238e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994100000000027 y[1] (analytic) = 1.001181045122117 y[1] (numeric) = 1.001181045122123 absolute error = 5.995204332975845e-15 relative error = 5.988132078793595e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9994000000000027 y[1] (analytic) = 1.001201080864643 y[1] (numeric) = 1.001201080864649 absolute error = 5.995204332975845e-15 relative error = 5.988012246049867e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993900000000028 y[1] (analytic) = 1.001221117208611 y[1] (numeric) = 1.001221117208617 absolute error = 6.217248937900877e-15 relative error = 6.209666207635002e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993800000000028 y[1] (analytic) = 1.001241154154046 y[1] (numeric) = 1.001241154154052 absolute error = 6.217248937900877e-15 relative error = 6.209541939128406e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993700000000029 y[1] (analytic) = 1.001261191700971 y[1] (numeric) = 1.001261191700977 absolute error = 6.217248937900877e-15 relative error = 6.20941767186526e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993600000000029 y[1] (analytic) = 1.00128122984941 y[1] (numeric) = 1.001281229849416 absolute error = 6.439293542825908e-15 relative error = 6.431053884625763e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999350000000003 y[1] (analytic) = 1.001301268599387 y[1] (numeric) = 1.001301268599394 absolute error = 6.439293542825908e-15 relative error = 6.430925181821794e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999340000000003 y[1] (analytic) = 1.001321307950928 y[1] (numeric) = 1.001321307950934 absolute error = 6.439293542825908e-15 relative error = 6.430796480305683e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999330000000003 y[1] (analytic) = 1.001341347904054 y[1] (numeric) = 1.001341347904061 absolute error = 6.661338147750939e-15 relative error = 6.652414944907688e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993200000000031 y[1] (analytic) = 1.001361388458792 y[1] (numeric) = 1.001361388458798 absolute error = 6.661338147750939e-15 relative error = 6.652281808072799e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.8415 Order of pole = 0.8546 x[1] = -0.9993100000000031 y[1] (analytic) = 1.001381429615164 y[1] (numeric) = 1.001381429615171 absolute error = 6.883382752675971e-15 relative error = 6.87388696165585e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9993000000000032 y[1] (analytic) = 1.001401471373195 y[1] (numeric) = 1.001401471373202 absolute error = 6.883382752675971e-15 relative error = 6.873749389679817e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992900000000032 y[1] (analytic) = 1.001421513732909 y[1] (numeric) = 1.001421513732916 absolute error = 6.883382752675971e-15 relative error = 6.873611819080461e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992800000000033 y[1] (analytic) = 1.00144155669433 y[1] (numeric) = 1.001441556694337 absolute error = 7.105427357601002e-15 relative error = 7.095199225659645e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992700000000033 y[1] (analytic) = 1.001461600257483 y[1] (numeric) = 1.00146160025749 absolute error = 7.105427357601002e-15 relative error = 7.09505722014119e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992600000000034 y[1] (analytic) = 1.00148164442239 y[1] (numeric) = 1.001481644422397 absolute error = 7.105427357601002e-15 relative error = 7.094915216043821e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992500000000034 y[1] (analytic) = 1.001501689189077 y[1] (numeric) = 1.001501689189084 absolute error = 7.105427357601002e-15 relative error = 7.094773213367537e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992400000000035 y[1] (analytic) = 1.001521734557567 y[1] (numeric) = 1.001521734557574 absolute error = 7.327471962526033e-15 relative error = 7.316338437490851e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992300000000035 y[1] (analytic) = 1.001541780527884 y[1] (numeric) = 1.001541780527892 absolute error = 7.327471962526033e-15 relative error = 7.31619200016192e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992200000000035 y[1] (analytic) = 1.001561827100053 y[1] (numeric) = 1.001561827100061 absolute error = 7.327471962526033e-15 relative error = 7.316045564298486e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992100000000036 y[1] (analytic) = 1.001581874274098 y[1] (numeric) = 1.001581874274106 absolute error = 7.549516567451064e-15 relative error = 7.537593042927837e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9992000000000036 y[1] (analytic) = 1.001601922050043 y[1] (numeric) = 1.00160192205005 absolute error = 7.549516567451064e-15 relative error = 7.5374421726338e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991900000000037 y[1] (analytic) = 1.001621970427911 y[1] (numeric) = 1.001621970427919 absolute error = 7.771561172376096e-15 relative error = 7.758976342198189e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991800000000037 y[1] (analytic) = 1.001642019407727 y[1] (numeric) = 1.001642019407735 absolute error = 7.771561172376096e-15 relative error = 7.75882103765119e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991700000000038 y[1] (analytic) = 1.001662068989516 y[1] (numeric) = 1.001662068989523 absolute error = 7.771561172376096e-15 relative error = 7.758665734658502e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991600000000038 y[1] (analytic) = 1.0016821191733 y[1] (numeric) = 1.001682119173308 absolute error = 7.771561172376096e-15 relative error = 7.758510433220126e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991500000000039 y[1] (analytic) = 1.001702169959105 y[1] (numeric) = 1.001702169959113 absolute error = 7.993605777301127e-15 relative error = 7.980022422859951e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991400000000039 y[1] (analytic) = 1.001722221346954 y[1] (numeric) = 1.001722221346962 absolute error = 7.993605777301127e-15 relative error = 7.979862687435064e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999130000000004 y[1] (analytic) = 1.001742273336871 y[1] (numeric) = 1.00174227333688 absolute error = 8.215650382226158e-15 relative error = 8.201361368986925e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.999120000000004 y[1] (analytic) = 1.001762325928882 y[1] (numeric) = 1.00176232592889 absolute error = 8.215650382226158e-15 relative error = 8.201197199753161e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991100000000041 y[1] (analytic) = 1.001782379123008 y[1] (numeric) = 1.001782379123017 absolute error = 8.43769498715119e-15 relative error = 8.422682573572329e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.1911 Order of pole = 0.5183 x[1] = -0.9991000000000041 y[1] (analytic) = 1.001802432919276 y[1] (numeric) = 1.001802432919284 absolute error = 8.43769498715119e-15 relative error = 8.422513970707326e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990900000000041 y[1] (analytic) = 1.001822487317708 y[1] (numeric) = 1.001822487317717 absolute error = 8.659739592076221e-15 relative error = 8.64398603714907e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990800000000042 y[1] (analytic) = 1.001842542318329 y[1] (numeric) = 1.001842542318338 absolute error = 8.881784197001252e-15 relative error = 8.865449231620989e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990700000000042 y[1] (analytic) = 1.001862597921164 y[1] (numeric) = 1.001862597921173 absolute error = 8.881784197001252e-15 relative error = 8.865271760250057e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990600000000043 y[1] (analytic) = 1.001882654126236 y[1] (numeric) = 1.001882654126244 absolute error = 8.881784197001252e-15 relative error = 8.865094290655483e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990500000000043 y[1] (analytic) = 1.001902710933569 y[1] (numeric) = 1.001902710933577 absolute error = 8.881784197001252e-15 relative error = 8.864916822837264e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990400000000044 y[1] (analytic) = 1.001922768343187 y[1] (numeric) = 1.001922768343196 absolute error = 9.103828801926284e-15 relative error = 9.086357840715289e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990300000000044 y[1] (analytic) = 1.001942826355115 y[1] (numeric) = 1.001942826355124 absolute error = 9.325873406851315e-15 relative error = 9.307789987156396e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990200000000045 y[1] (analytic) = 1.001962884969376 y[1] (numeric) = 1.001962884969386 absolute error = 9.325873406851315e-15 relative error = 9.30760365154279e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990100000000045 y[1] (analytic) = 1.001982944185996 y[1] (numeric) = 1.001982944186005 absolute error = 9.325873406851315e-15 relative error = 9.307417317794359e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9990000000000046 y[1] (analytic) = 1.002003004004997 y[1] (numeric) = 1.002003004005006 absolute error = 9.325873406851315e-15 relative error = 9.307230985911103e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations = 100 Total Elapsed Time = 22 Seconds Elapsed Time(since restart) = 21 Seconds Expected Time Remaining = 1 Hours 48 Minutes 32 Seconds Optimized Time Remaining = 1 Hours 43 Minutes 36 Seconds Time to Timeout = 38 Seconds Percent Done = 0.3367 %