##############ECHO OF PROBLEM################# ##############temp/sing5postode.ode################# diff ( y , x , 1 ) = m1 * 3.0 / x / 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 = 0.00001; glob_look_poles = true; glob_max_iter = 100; /* 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/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) = -1.00003000060001 y[1] (numeric) = -1.00003000060001 absolute error = 2.220446049250313e-16 relative error = 2.220379436534968e-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] = -0.9999800000000001 y[1] (analytic) = -1.00006000240008 y[1] (numeric) = -1.00006000240008 absolute error = 4.440892098500626e-16 relative error = 4.440625650303753e-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] = -0.9999700000000001 y[1] (analytic) = -1.00009000540027 y[1] (numeric) = -1.00009000540027 absolute error = 4.440892098500626e-16 relative error = 4.440492430202051e-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] = -0.9999600000000002 y[1] (analytic) = -1.00012000960064 y[1] (numeric) = -1.00012000960064 absolute error = 6.661338147750939e-16 relative error = 6.66053881914721e-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) = -1.000150015001249 y[1] (numeric) = -1.00015001500125 absolute error = 8.881784197001252e-16 relative error = 8.880451995983979e-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) = -1.000180021602159 y[1] (numeric) = -1.00018002160216 absolute error = 8.881784197001252e-16 relative error = 8.88018557176715e-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) = -1.00021002940343 y[1] (numeric) = -1.000210029403431 absolute error = 1.110223024625157e-15 relative error = 1.109989894109884e-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] = -0.9999200000000004 y[1] (analytic) = -1.00024003840512 y[1] (numeric) = -1.000240038405121 absolute error = 1.332267629550188e-15 relative error = 1.331947910897954e-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] = -0.9999100000000004 y[1] (analytic) = -1.00027004860729 y[1] (numeric) = -1.000270048607291 absolute error = 1.554312234475219e-15 relative error = 1.553892607940567e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.6837 Order of pole = 0.7338 x[1] = -0.9999000000000005 y[1] (analytic) = -1.00030006001 y[1] (numeric) = -1.000300060010002 absolute error = 1.77635683940025e-15 relative error = 1.775823985637362e-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] = -0.9998900000000005 y[1] (analytic) = -1.000330072613311 y[1] (numeric) = -1.000330072613312 absolute error = 1.77635683940025e-15 relative error = 1.77577070612264e-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] = -0.9998800000000005 y[1] (analytic) = -1.000360086417281 y[1] (numeric) = -1.000360086417283 absolute error = 1.77635683940025e-15 relative error = 1.775717427673615e-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) = -1.000390101421972 y[1] (numeric) = -1.000390101421974 absolute error = 1.998401444325282e-15 relative error = 1.997622169076561e-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) = -1.000420117627444 y[1] (numeric) = -1.000420117627446 absolute error = 1.998401444325282e-15 relative error = 1.99756223321919e-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) = -1.000450135033756 y[1] (numeric) = -1.000450135033758 absolute error = 2.220446049250313e-15 relative error = 2.219446998400769e-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) = -1.000480153640968 y[1] (numeric) = -1.00048015364097 absolute error = 2.442490654175344e-15 relative error = 2.441318446234624e-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) = -1.00051017344914 y[1] (numeric) = -1.000510173449143 absolute error = 2.442490654175344e-15 relative error = 2.44124519569366e-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) = -1.000540194458333 y[1] (numeric) = -1.000540194458336 absolute error = 2.664535259100376e-15 relative error = 2.663096669037756e-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) = -1.000570216668607 y[1] (numeric) = -1.00057021666861 absolute error = 2.664535259100376e-15 relative error = 2.663016762553588e-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) = -1.000600240080021 y[1] (numeric) = -1.000600240080024 absolute error = 2.886579864025407e-15 relative error = 2.88484826247349e-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) = -1.000630264692636 y[1] (numeric) = -1.000630264692639 absolute error = 3.108624468950438e-15 relative error = 3.106666446777237e-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) = -1.000660290506512 y[1] (numeric) = -1.000660290506515 absolute error = 3.33066907387547e-15 relative error = 3.328471315864407e-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) = -1.000690317521709 y[1] (numeric) = -1.000690317521712 absolute error = 3.552713678800501e-15 relative error = 3.550262870134575e-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) = -1.000720345738286 y[1] (numeric) = -1.00072034573829 absolute error = 3.552713678800501e-15 relative error = 3.550156338811587e-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] = -0.9997500000000011 y[1] (analytic) = -1.000750375156305 y[1] (numeric) = -1.000750375156309 absolute error = 3.774758283725532e-15 relative error = 3.771927922720948e-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) = -1.000780405775825 y[1] (numeric) = -1.000780405775829 absolute error = 3.996802888650564e-15 relative error = 3.993686192878809e-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) = -1.000810437596906 y[1] (numeric) = -1.00081043759691 absolute error = 3.996802888650564e-15 relative error = 3.993566352332894e-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] = -0.9997200000000013 y[1] (analytic) = -1.000840470619608 y[1] (numeric) = -1.000840470619613 absolute error = 4.218847493575595e-15 relative error = 4.215304653861326e-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) = -1.000870504843992 y[1] (numeric) = -1.000870504843997 absolute error = 4.440892098500626e-15 relative error = 4.437029642703716e-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) = -1.000900540270117 y[1] (numeric) = -1.000900540270122 absolute error = 4.440892098500626e-15 relative error = 4.436896494532956e-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) = -1.000930576898044 y[1] (numeric) = -1.000930576898049 absolute error = 4.662936703425657e-15 relative error = 4.65860151647723e-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) = -1.000960614727833 y[1] (numeric) = -1.000960614727838 absolute error = 4.884981308350689e-15 relative error = 4.880293226800881e-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) = -1.000990653759543 y[1] (numeric) = -1.000990653759548 absolute error = 4.884981308350689e-15 relative error = 4.880146772603285e-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) = -1.001020693993236 y[1] (numeric) = -1.001020693993241 absolute error = 5.10702591327572e-15 relative error = 5.101818517760064e-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) = -1.00105073542897 y[1] (numeric) = -1.001050735428975 absolute error = 5.10702591327572e-15 relative error = 5.101665412679865e-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) = -1.001080778066807 y[1] (numeric) = -1.001080778066812 absolute error = 5.10702591327572e-15 relative error = 5.101512310662809e-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] = -0.9996300000000017 y[1] (analytic) = -1.001110821906806 y[1] (numeric) = -1.001110821906811 absolute error = 5.329070518200751e-15 relative error = 5.323157438304904e-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) = -1.001140866949028 y[1] (numeric) = -1.001140866949033 absolute error = 5.329070518200751e-15 relative error = 5.322997686070961e-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) = -1.001170913193532 y[1] (numeric) = -1.001170913193537 absolute error = 5.551115123125783e-15 relative error = 5.544622851076299e-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) = -1.001200960640379 y[1] (numeric) = -1.001200960640384 absolute error = 5.773159728050814e-15 relative error = 5.766234707124372e-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) = -1.001231009289629 y[1] (numeric) = -1.001231009289634 absolute error = 5.773159728050814e-15 relative error = 5.766061652591902e-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) = -1.001261059141341 y[1] (numeric) = -1.001261059141347 absolute error = 5.995204332975845e-15 relative error = 5.98765354773429e-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) = -1.001291110195577 y[1] (numeric) = -1.001291110195583 absolute error = 6.217248937900877e-15 relative error = 6.209232134984692e-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) = -1.001321162452397 y[1] (numeric) = -1.001321162452403 absolute error = 6.439293542825908e-15 relative error = 6.430797414742581e-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) = -1.001351215911859 y[1] (numeric) = -1.001351215911866 absolute error = 6.439293542825908e-15 relative error = 6.430604407827179e-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) = -1.001381270574026 y[1] (numeric) = -1.001381270574032 absolute error = 6.661338147750939e-15 relative error = 6.652149729076153e-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) = -1.001411326438956 y[1] (numeric) = -1.001411326438963 absolute error = 6.883382752675971e-15 relative error = 6.873681743897839e-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) = -1.00144138350671 y[1] (numeric) = -1.001441383506717 absolute error = 6.883382752675971e-15 relative error = 6.873475438545074e-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] = -0.9995100000000022 y[1] (analytic) = -1.001471441777349 y[1] (numeric) = -1.001471441777356 absolute error = 6.883382752675971e-15 relative error = 6.873269137320356e-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) = -1.001501501250931 y[1] (numeric) = -1.001501501250939 absolute error = 7.105427357601002e-15 relative error = 7.094774544746988e-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) = -1.001531561927518 y[1] (numeric) = -1.001531561927526 absolute error = 7.327471962526033e-15 relative error = 7.316266647077796e-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) = -1.001561623807171 y[1] (numeric) = -1.001561623807178 absolute error = 7.327471962526033e-15 relative error = 7.316047049279498e-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] = -0.9994700000000024 y[1] (analytic) = -1.001591686889947 y[1] (numeric) = -1.001591686889955 absolute error = 7.549516567451064e-15 relative error = 7.537519196962533e-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) = -1.001621751175909 y[1] (numeric) = -1.001621751175917 absolute error = 7.549516567451064e-15 relative error = 7.537292953740165e-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) = -1.001651816665116 y[1] (numeric) = -1.001651816665124 absolute error = 7.771561172376096e-15 relative error = 7.758745147840504e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.6661 Order of pole = 0.7221 x[1] = -0.9994400000000025 y[1] (analytic) = -1.001681883357629 y[1] (numeric) = -1.001681883357636 absolute error = 7.771561172376096e-15 relative error = 7.758512259726504e-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) = -1.001711951253507 y[1] (numeric) = -1.001711951253515 absolute error = 7.771561172376096e-15 relative error = 7.758279376272829e-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) = -1.001742020352811 y[1] (numeric) = -1.001742020352819 absolute error = 7.993605777301127e-15 relative error = 7.979704968835988e-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) = -1.001772090655601 y[1] (numeric) = -1.001772090655609 absolute error = 7.993605777301127e-15 relative error = 7.979465441156162e-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) = -1.001802162161938 y[1] (numeric) = -1.001802162161946 absolute error = 8.215650382226158e-15 relative error = 8.20087108266605e-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) = -1.00183223487188 y[1] (numeric) = -1.001832234871889 absolute error = 8.43769498715119e-15 relative error = 8.422263422408492e-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) = -1.00186230878549 y[1] (numeric) = -1.001862308785498 absolute error = 8.43769498715119e-15 relative error = 8.42201060281408e-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) = -1.001892383902826 y[1] (numeric) = -1.001892383902835 absolute error = 8.43769498715119e-15 relative error = 8.421757788279147e-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) = -1.00192246022395 y[1] (numeric) = -1.001922460223959 absolute error = 8.659739592076221e-15 relative error = 8.643123530877423e-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) = -1.001952537748921 y[1] (numeric) = -1.00195253774893 absolute error = 8.659739592076221e-15 relative error = 8.642864073713501e-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) = -1.0019826164778 y[1] (numeric) = -1.001982616477809 absolute error = 8.659739592076221e-15 relative error = 8.642604621742046e-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) = -1.002012696410646 y[1] (numeric) = -1.002012696410655 absolute error = 8.881784197001252e-15 relative error = 8.863943769192826e-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) = -1.002042777547521 y[1] (numeric) = -1.00204277754753 absolute error = 9.103828801926284e-15 relative error = 9.085269617139218e-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] = -0.9993100000000031 y[1] (analytic) = -1.002072859888484 y[1] (numeric) = -1.002072859888493 absolute error = 9.325873406851315e-15 relative error = 9.306582165980575e-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) = -1.002102943433596 y[1] (numeric) = -1.002102943433605 absolute error = 9.325873406851315e-15 relative error = 9.306302778532149e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.7776 Order of pole = 0.8027 x[1] = -0.9992900000000032 y[1] (analytic) = -1.002133028182916 y[1] (numeric) = -1.002133028182925 absolute error = 9.547918011776346e-15 relative error = 9.527595382310461e-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) = -1.002163114136505 y[1] (numeric) = -1.002163114136515 absolute error = 9.547918011776346e-15 relative error = 9.527309354229354e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.6691 Order of pole = 0.7242 x[1] = -0.9992700000000033 y[1] (analytic) = -1.002193201294424 y[1] (numeric) = -1.002193201294434 absolute error = 9.547918011776346e-15 relative error = 9.527023331872874e-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) = -1.002223289656732 y[1] (numeric) = -1.002223289656742 absolute error = 9.769962616701378e-15 relative error = 9.748289345827963e-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) = -1.002253379223491 y[1] (numeric) = -1.002253379223501 absolute error = 9.769962616701378e-15 relative error = 9.74799668350411e-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) = -1.002283469994759 y[1] (numeric) = -1.002283469994769 absolute error = 9.992007221626409e-15 relative error = 9.969242754925067e-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) = -1.002313561970598 y[1] (numeric) = -1.002313561970608 absolute error = 9.992007221626409e-15 relative error = 9.968943453166121e-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) = -1.002343655151068 y[1] (numeric) = -1.002343655151078 absolute error = 1.021405182655144e-14 relative error = 1.019016958311771e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.9253 Order of pole = 0.9288 x[1] = -0.9992100000000036 y[1] (analytic) = -1.002373749536228 y[1] (numeric) = -1.002373749536238 absolute error = 1.021405182655144e-14 relative error = 1.018986364245593e-12 % Correct digits = 13 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) = -1.00240384512614 y[1] (numeric) = -1.00240384512615 absolute error = 1.043609643147647e-14 relative error = 1.041106983200291e-12 % Correct digits = 13 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) = -1.002433941920863 y[1] (numeric) = -1.002433941920874 absolute error = 1.06581410364015e-14 relative error = 1.063226272643799e-12 % Correct digits = 13 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) = -1.002464039920458 y[1] (numeric) = -1.002464039920469 absolute error = 1.088018564132653e-14 relative error = 1.085344232616048e-12 % Correct digits = 13 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) = -1.002494139124986 y[1] (numeric) = -1.002494139124997 absolute error = 1.088018564132653e-14 relative error = 1.085311645893827e-12 % Correct digits = 13 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) = -1.002524239534505 y[1] (numeric) = -1.002524239534516 absolute error = 1.110223024625157e-14 relative error = 1.107427612065179e-12 % Correct digits = 13 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) = -1.002554341149078 y[1] (numeric) = -1.002554341149089 absolute error = 1.110223024625157e-14 relative error = 1.107394361638965e-12 % Correct digits = 13 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) = -1.002584443968763 y[1] (numeric) = -1.002584443968775 absolute error = 1.13242748511766e-14 relative error = 1.129508334115886e-12 % Correct digits = 13 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) = -1.002614547993622 y[1] (numeric) = -1.002614547993633 absolute error = 1.154631945610163e-14 relative error = 1.151620977294564e-12 % Correct digits = 13 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) = -1.002644653223715 y[1] (numeric) = -1.002644653223726 absolute error = 1.154631945610163e-14 relative error = 1.151586398927852e-12 % Correct digits = 13 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) = -1.002674759659101 y[1] (numeric) = -1.002674759659113 absolute error = 1.176836406102666e-14 relative error = 1.173697048585105e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 1.001 Order of pole = 2.082 x[1] = -0.9991000000000041 y[1] (analytic) = -1.002704867299842 y[1] (numeric) = -1.002704867299853 absolute error = 1.176836406102666e-14 relative error = 1.173661806660756e-12 % Correct digits = 13 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) = -1.002734976145997 y[1] (numeric) = -1.002734976146009 absolute error = 1.176836406102666e-14 relative error = 1.173626565441874e-12 % Correct digits = 13 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) = -1.002765086197627 y[1] (numeric) = -1.002765086197639 absolute error = 1.199040866595169e-14 relative error = 1.195734557474271e-12 % Correct digits = 13 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) = -1.002795197454793 y[1] (numeric) = -1.002795197454805 absolute error = 1.221245327087672e-14 relative error = 1.217841220408046e-12 % Correct digits = 13 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) = -1.002825309917554 y[1] (numeric) = -1.002825309917566 absolute error = 1.243449787580175e-14 relative error = 1.239946554283123e-12 % Correct digits = 13 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) = -1.002855423585971 y[1] (numeric) = -1.002855423585983 absolute error = 1.243449787580175e-14 relative error = 1.239909321259785e-12 % Correct digits = 13 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) = -1.002885538460104 y[1] (numeric) = -1.002885538460117 absolute error = 1.265654248072678e-14 relative error = 1.262012661999341e-12 % Correct digits = 13 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) = -1.002915654540014 y[1] (numeric) = -1.002915654540027 absolute error = 1.265654248072678e-14 relative error = 1.261974765617921e-12 % Correct digits = 13 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) = -1.002945771825761 y[1] (numeric) = -1.002945771825774 absolute error = 1.287858708565182e-14 relative error = 1.284076113328406e-12 % Correct digits = 13 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) = -1.002975890317405 y[1] (numeric) = -1.002975890317418 absolute error = 1.310063169057685e-14 relative error = 1.306176132153184e-12 % Correct digits = 13 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) = -1.003006010015007 y[1] (numeric) = -1.00300601001502 absolute error = 1.310063169057685e-14 relative error = 1.306136908429973e-12 % Correct digits = 13 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 3.0 / x / x / x / x ; Iterations = 100 Total Elapsed Time = 22 Seconds Elapsed Time(since restart) = 22 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 %