Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sing3_backpostode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-0.7) x_end=c(-2.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(2.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/c(x)/c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.7e0+/-0.50e-30 y[1] (closed_form) 0.2040816326530612244897959183673457e1+/-0.301e-29 y[1] (numeric) 0.2040816326530612244897959183673457e1+/-0.321e-29 absolute error 0.0e0+/-0.622e-29 relative error 0.0e0+/-0.3047800000000000000000000000009008e-27% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.7000000000000000000000000000000247e0+/-0.495e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7000000000000030030000000000126965e0+/-0.443e-27 Order of pole (three term test) 0.530400000000002242443587335406592e-13+/-0.107e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.65e0+/-0.5e-30 y[1] (closed_form) 0.2366863905325443786982248520710046e1+/-0.375e-29 y[1] (numeric) 0.2366863283353523536773769875099534e1+/-0.442e-29 absolute error 0.621971920250208478645610512e-6+/-0.817e-29 relative error 0.2627831363057130822277704413200014e-4+/-0.345e-27% Desired digits 8 Estimated correct digits 14 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6500000000000000000000000000000263e0+/-0.494e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6500000000000027885000000000118543e0+/-0.454e-27 Order of pole (three term test) 0.530400000000002254707531257766325e-13+/-0.118e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6e0+/-0.5e-30 y[1] (closed_form) 0.2777777777777777777777777777777766e1+/-0.476e-29 y[1] (numeric) 0.2777776018116072933974608492921923e1+/-0.597e-29 absolute error 0.1759661704843803169284855843e-5+/-0.107e-28 relative error 0.6334782137437691409425481034800026e-4+/-0.385e-27% Desired digits 8 Estimated correct digits 14 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6000000000000000000000000000002371e0+/-0.497e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6000000000000025740000000000109471e0+/-0.437e-27 Order of pole (three term test) 0.53040000000000225585928200136573e-13+/-0.124e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.55e0+/-0.5e-30 y[1] (closed_form) 0.3305785123966942148760330578512381e1+/-0.616e-29 y[1] (numeric) 0.3305781177917181705198229953401057e1+/-0.77e-29 absolute error 0.3946049760443562100625111324e-5+/-0.138e-28 relative error 0.1193680052534177535439096175510005e-3+/-0.417e-27% Desired digits 8 Estimated correct digits 14 Correct digits 6 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5500000000000000000000000000002605e0+/-0.496e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5500000000000023595000000000100206e0+/-0.425e-27 Order of pole (three term test) 0.530400000000002251121661915148483e-13+/-0.131e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5e0+/-0.5e-30 y[1] (closed_form) 0.4e1+/-0.82e-29 y[1] (numeric) 0.3999991600353351449884986052380418e1+/-0.99e-29 absolute error 0.8399646648550115013947619582e-5+/-0.181e-28 relative error 0.20999116621375287534869048955e-3+/-0.452e-27% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.500000000000000000000000000000312e0+/-0.497e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5000000000000021450000000000091124e0+/-0.492e-27 Order of pole (three term test) 0.530400000000002253229333333342901e-13+/-0.166e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45e0+/-0.5e-30 y[1] (closed_form) 0.4938271604938271604938271604938266e1+/-0.112e-28 y[1] (numeric) 0.4938253479292507595517899260997551e1+/-0.132e-28 absolute error 0.18125645764009420372343940715e-4+/-0.244e-28 relative error 0.3670443267211907625399647994787504e-3+/-0.494e-27% Desired digits 8 Estimated correct digits 12 Correct digits 6 h 0.5e-1+/-0.1e-100 SETTING H FOR POLE Radius of convergence (given) for eq 1 0.4500000000000000000000000000003236e0+/-0.516e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4500000000000019305000000000082075e0+/-0.398e-27 Order of pole (three term test) 0.5304000000000022558798092443502e-13+/-0.15e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49500000000000019305000000000082e0+/-0.403e-28 y[1] (closed_form) 0.4081216202428320457096214671960584e1+/-0.663e-27 y[1] (numeric) 0.4081189804577710333283638391015773e1+/-0.121e-26 absolute error 0.26397850610123812576280944811e-4+/-0.187e-26 relative error 0.6468133345745592221647248183895693e-3+/-0.458e-25% Desired digits 8 Estimated correct digits 12 Correct digits 6 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.4950000000000001930500000000011618e0+/-0.399e-27 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4950000000000023166000000000106682e0+/-0.374e-24 Order of pole (three term test) 0.530400000000002255599021025740592e-13+/-0.127e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.54000000000000038610000000000164e0+/-0.801e-28 y[1] (closed_form) 0.3429355281207128155006858710546842e1+/-0.101e-26 y[1] (numeric) 0.3429324964207184805779077981868966e1+/-0.228e-26 absolute error 0.30316999943349227780728677876e-4+/-0.329e-26 relative error 0.8840437183480647462685654846007614e-3+/-0.959e-25% Desired digits 8 Estimated correct digits 12 Correct digits 6 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.5400000000000003861000000000019124e0+/-0.798e-27 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5400000000000027027000000000131383e0+/-0.421e-24 Order of pole (three term test) 0.530400000000002252060894696876988e-13+/-0.132e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.58500000000000057915000000000246e0+/-0.119e-27 y[1] (closed_form) 0.2922054204105480371100883921380743e1+/-0.118e-26 y[1] (numeric) 0.2922021907775512145821894377129159e1+/-0.323e-26 absolute error 0.32296329968225278989544251584e-4+/-0.441e-26 relative error 0.1105261152337591798636759778271252e-2+/-0.15e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.5850000000000005791500000000026988e0+/-0.118e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5850000000000030888000000000155513e0+/-0.484e-24 Order of pole (three term test) 0.530400000000002238674746992209452e-13+/-0.14e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.63000000000000077220000000000328e0+/-0.158e-27 y[1] (closed_form) 0.2519526329050132397509268257552696e1+/-0.126e-26 y[1] (numeric) 0.2519492977800816116927936336810017e1+/-0.405e-26 absolute error 0.33351249316280581331920742679e-4+/-0.531e-26 relative error 0.1323711085363179518047109252960261e-2+/-0.21e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.6300000000000007722000000000033066e0+/-0.157e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6300000000000034749000000000180891e0+/-0.553e-24 Order of pole (three term test) 0.530400000000002254163404139434326e-13+/-0.148e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6750000000000009652500000000041e0+/-0.197e-27 y[1] (closed_form) 0.2194787379972558880658436213978565e1+/-0.128e-26 y[1] (numeric) 0.2194753440047206121337064853279699e1+/-0.475e-26 absolute error 0.33939925352759321371360698866e-4+/-0.603e-26 relative error 0.1546387848885101002651869653480296e-2+/-0.274e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.6750000000000009652500000000041267e0+/-0.195e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6750000000000038610000000000204948e0+/-0.534e-24 Order of pole (three term test) 0.530400000000002247289009548171146e-13+/-0.134e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.72000000000000115830000000000492e0+/-0.236e-27 y[1] (closed_form) 0.19290123456790061390817901234454e1+/-0.126e-26 y[1] (numeric) 0.1928978063954863976904269670244793e1+/-0.535e-26 absolute error 0.34281724142162177520453200607e-4+/-0.661e-26 relative error 0.1777164579529693000687328556264603e-2+/-0.342e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.7200000000000011583000000000049447e0+/-0.234e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7200000000000042471000000000229375e0+/-0.67e-24 Order of pole (three term test) 0.530400000000002239397367280206818e-13+/-0.156e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.76500000000000135135000000000574e0+/-0.275e-27 y[1] (closed_form) 0.1708744499978634656856462949132585e1+/-0.122e-26 y[1] (numeric) 0.1708710012805748546063938890309879e1+/-0.587e-26 absolute error 0.34487172886110792524058822706e-4+/-0.709e-26 relative error 0.2018275575227425985938117637658855e-2+/-0.414e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.765000000000001351350000000005763e0+/-0.273e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7650000000000046332000000000254653e0+/-0.722e-24 Order of pole (three term test) 0.530400000000002252194490114133335e-13+/-0.159e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.81000000000000154440000000000656e0+/-0.314e-27 y[1] (closed_form) 0.152415790275871999187115785194539e1+/-0.118e-26 y[1] (numeric) 0.1524123288272863381104097093444374e1+/-0.632e-26 absolute error 0.34614485856610767060758501016e-4+/-0.750e-26 relative error 0.2271056417052241087151502277551133e-2+/-0.492e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.8100000000000015444000000000065802e0+/-0.312e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.810000000000005019300000000027895e0+/-0.811e-24 Order of pole (three term test) 0.530400000000002244712521193732822e-13+/-0.169e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.85500000000000173745000000000738e0+/-0.353e-27 y[1] (closed_form) 0.1367942272836080757552031304272283e1+/-0.112e-26 y[1] (numeric) 0.1367907577294928897108758198805894e1+/-0.671e-26 absolute error 0.34695541151860443273105466389e-4+/-0.783e-26 relative error 0.2536330797053888362554515962043691e-2+/-0.572e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.8550000000000017374500000000073985e0+/-0.351e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8550000000000054054000000000304855e0+/-0.866e-24 Order of pole (three term test) 0.530400000000002262584534208197589e-13+/-0.17e-22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9000000000000019305000000000082e0+/-0.392e-27 y[1] (closed_form) 0.1234567901234562604938271604932808e1+/-0.107e-26 y[1] (numeric) 0.123453315282776854099218615843611e1+/-0.705e-26 absolute error 0.34748406794063946085446496698e-4+/-0.812e-26 relative error 0.2814620950319191707645043101882881e-2+/-0.657e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.9000000000000019305000000000082166e0+/-0.391e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.94500000000000212355000000000902e0+/-0.431e-27 y[1] (closed_form) 0.1119789479577834333545293484820434e1+/-0.102e-26 y[1] (numeric) 0.1119754695935225481287121927444829e1+/-0.735e-26 absolute error 0.34783642608852258171557375605e-4+/-0.837e-26 relative error 0.3106266244077042745813508058372739e-2+/-0.747e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.9450000000000021235500000000090379e0+/-0.429e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.99000000000000231660000000000984e0+/-0.47e-27 y[1] (closed_form) 0.1020304050607076135088256300373985e1+/-0.968e-27 y[1] (numeric) 0.1020269243014575265892380145626216e1+/-0.761e-26 absolute error 0.34807592500869195876154747769e-4+/-0.857e-26 relative error 0.3411492141010205853605146756614879e-2+/-0.839e-24% Desired digits 8 Estimated correct digits 12 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.9900000000000023166000000000098447e0+/-0.468e-26 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.103500000000000250965000000001066e1+/-0.509e-27 y[1] (closed_form) 0.9335107003663984227727905983268609e0+/-0.918e-27 y[1] (numeric) 0.9334758762029661325662907840601087e0+/-0.784e-26 absolute error 0.348241634322902064998142667522e-4+/-0.875e-26 relative error 0.3730451447275525736843937664614488e-2+/-0.937e-24% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1035000000000002509650000000012212e1+/-0.507e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.108000000000000270270000000001148e1+/-0.548e-27 y[1] (closed_form) 0.8573388203017789737654320987633123e0+/-0.869e-27 y[1] (numeric) 0.8573039844854525224848787637062116e0+/-0.805e-26 absolute error 0.348358163264512805533350571007e-4+/-0.891e-26 relative error 0.4063249616317297700305330728310684e-2+/-0.103e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1080000000000002702700000000012916e1+/-0.545e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11250000000000028957500000000123e1+/-0.587e-27 y[1] (closed_form) 0.7901234567901193892345679012329947e0+/-0.823e-27 y[1] (numeric) 0.7900886126567335379717647658136283e0+/-0.823e-26 absolute error 0.348441333858512628031354193664e-4+/-0.905e-26 relative error 0.4409960631646823150999158231414361e-2+/-0.114e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1125000000000002895750000000013726e1+/-0.585e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.117000000000000308880000000001312e1+/-0.626e-27 y[1] (closed_form) 0.7305135510263676820805025933219967e0+/-0.781e-27 y[1] (numeric) 0.7304787008752511702030570612940818e0+/-0.839e-26 absolute error 0.348501511165118774455320279149e-4+/-0.917e-26 relative error 0.4770637186339336092483223172972474e-2+/-0.125e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1170000000000003088800000000014424e1+/-0.62e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.121500000000000328185000000001394e1+/-0.665e-27 y[1] (closed_form) 0.677403512337207808957156109520377e0+/-0.741e-27 y[1] (numeric) 0.6773686577768747693328137431868903e0+/-0.854e-26 absolute error 0.348545603330396243423663334867e-4+/-0.928e-26 relative error 0.514531733276416974062860950891613e-2+/-0.136e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1215000000000003281850000000015248e1+/-0.662e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.126000000000000347490000000001476e1+/-0.704e-27 y[1] (closed_form) 0.6298815822625311692401828456246372e0+/-0.703e-27 y[1] (numeric) 0.6298467244337132777328790148111845e0+/-0.867e-26 absolute error 0.348578288178915073038308134527e-4+/-0.937e-26 relative error 0.5534028903128486223678458485304479e-2+/-0.148e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1260000000000003474900000000015952e1+/-0.699e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.130500000000000366795000000001558e1+/-0.743e-27 y[1] (closed_form) 0.5871904405396247140357244639228641e0+/-0.668e-27 y[1] (numeric) 0.5871555802616146037241520074093448e0+/-0.879e-26 absolute error 0.348602780101103115724565135193e-4+/-0.945e-26 relative error 0.5936792495816844709530781188863871e-2+/-0.16e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1305000000000003667950000000016749e1+/-0.737e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13500000000000038610000000000164e1+/-0.782e-27 y[1] (closed_form) 0.5486968449931381508916323731139872e0+/-0.635e-27 y[1] (numeric) 0.5486619828613243303207049004041079e0+/-0.89e-26 absolute error 0.348621318138205709274727098793e-4+/-0.953e-26 relative error 0.6353623523068835394258453329239344e-2+/-0.173e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1350000000000003861000000000017427e1+/-0.776e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.139500000000000405405000000001722e1+/-0.821e-27 y[1] (closed_form) 0.5138680130008577421882737805894662e0+/-0.604e-27 y[1] (numeric) 0.513833149452678677106789365078775e0+/-0.9e-26 absolute error 0.348635481790650814844155106912e-4+/-0.96e-26 relative error 0.6784533634516551953031300619032459e-2+/-0.186e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1395000000000004054050000000018218e1+/-0.816e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.144000000000000424710000000001804e1+/-0.86e-27 y[1] (closed_form) 0.4822530864197502417293595679017364e0+/-0.575e-27 y[1] (numeric) 0.4822182217798988877078606656143818e0+/-0.909e-26 absolute error 0.348646398513540214989022873546e-4+/-0.966e-26 relative error 0.7229531719576812543212609159565322e-2+/-0.2e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1440000000000004247100000000019045e1+/-0.856e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.148500000000000444015000000001886e1+/-0.899e-27 y[1] (closed_form) 0.4534684669364776927524402271883455e0+/-0.548e-27 y[1] (numeric) 0.4534336014482768819880125785664106e0+/-0.917e-26 absolute error 0.348654882008107644276486219349e-4+/-0.971e-26 relative error 0.7688624621763337776471381375387976e-2+/-0.214e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1485000000000004440150000000019816e1+/-0.898e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.153000000000000463320000000001968e1+/-0.938e-27 y[1] (closed_form) 0.4271861249946575861973650154674128e0+/-0.523e-27 y[1] (numeric) 0.4271512588420948333491908519314534e0+/-0.924e-26 absolute error 0.348661525627528481741635359594e-4+/-0.976e-26 relative error 0.816181765341486366089850657944859e-2+/-0.228e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1530000000000004633200000000020652e1+/-0.933e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15750000000000048262500000000205e1+/-0.977e-27 y[1] (closed_form) 0.403124212648019701256163841198716e0+/-0.499e-27 y[1] (numeric) 0.4030893459713938762755436378126321e0+/-0.931e-26 absolute error 0.348666766258249806202033860839e-4+/-0.98e-26 relative error 0.8649114970493762261818093057904828e-2+/-0.243e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1575000000000004826250000000021352e1+/-0.968e-25 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.162000000000000501930000000002132e1+/-0.101e-26 y[1] (closed_form) 0.3810394756896790898237057359151843e0+/-0.474e-27 y[1] (numeric) 0.3810046085968267089751775949809908e0+/-0.937e-26 absolute error 0.348670928523808485281409341935e-4+/-0.984e-26 relative error 0.9150519848178886590446632651553385e-2+/-0.258e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1620000000000005019300000000022157e1+/-0.1e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.166500000000000521235000000002214e1+/-0.104e-26 y[1] (closed_form) 0.3607210814417999040189446812295987e0+/-0.45e-27 y[1] (numeric) 0.3606862140162288048269291133611807e0+/-0.943e-26 absolute error 0.34867425571099192015567868418e-4+/-0.988e-26 relative error 0.9666034885384106278363913350645684e-2+/-0.273e-23% Desired digits 8 Estimated correct digits 11 Correct digits 5 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1665000000000005212350000000022905e1+/-0.103e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.171000000000000540540000000002296e1+/-0.107e-26 y[1] (closed_form) 0.3419855682090194172205932909641889e0+/-0.427e-27 y[1] (numeric) 0.341950700515856212464552139830659e0+/-0.948e-26 absolute error 0.348676931632047560411511335299e-4+/-0.99e-26 relative error 0.1019566215785276717204239249620374e-1+/-0.289e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1710000000000005405400000000023729e1+/-0.106e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.175500000000000559845000000002378e1+/-0.11e-26 y[1] (closed_form) 0.3246726893450519460069317619186297e0+/-0.406e-27 y[1] (numeric) 0.324637821435428814901442583902993e0+/-0.953e-26 absolute error 0.348679096231311054891780156367e-4+/-0.993e-26 relative error 0.1073940333369850683582382075757949e-1+/-0.305e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1755000000000005598450000000024514e1+/-0.109e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18000000000000057915000000000246e1+/-0.113e-26 y[1] (closed_form) 0.3086419753086399891975308641986799e0+/-0.387e-27 y[1] (numeric) 0.3086071072229570257286126170024228e0+/-0.957e-26 absolute error 0.348680856829634689182471962571e-4+/-0.995e-26 relative error 0.1129725976128023662737865542558103e-1+/-0.322e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1800000000000005791500000000025314e1+/-0.112e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.184500000000000598455000000002542e1+/-0.116e-26 y[1] (closed_form) 0.2937698753681284692923603173514587e0+/-0.368e-27 y[1] (numeric) 0.2937350071384987633382536050226619e0+/-0.961e-26 absolute error 0.348682296297059541067123287968e-4+/-0.997e-26 relative error 0.1186923253652605804228502314225194e-1+/-0.339e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1845000000000005984550000000026112e1+/-0.115e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.189000000000000617760000000002624e1+/-0.119e-26 y[1] (closed_form) 0.2799473698944580114938391582394499e0+/-0.352e-27 y[1] (numeric) 0.2799125015465537791583862906715618e0+/-0.965e-26 absolute error 0.348683479042323354528675678881e-4+/-0.1e-25 relative error 0.1245532255487091396934169690997247e-1+/-0.357e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1890000000000006177600000000026883e1+/-0.118e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.193500000000000637065000000002706e1+/-0.122e-26 y[1] (closed_form) 0.2670779667354374844857980514811138e0+/-0.336e-27 y[1] (numeric) 0.2670430982898937774789432538937538e0+/-0.968e-26 absolute error 0.3486844554370700685479758736e-4+/-0.1e-25 relative error 0.13055530551588722740204877021402e-1+/-0.374e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1935000000000006370650000000027036e1+/-0.121e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.198000000000000656370000000002788e1+/-0.125e-26 y[1] (closed_form) 0.2550760126517685363738394041436602e0+/-0.321e-27 y[1] (numeric) 0.255041144125257699363726425012162e0+/-0.971e-26 absolute error 0.348685265108370101129791314982e-4+/-0.1e-25 relative error 0.136698571333086320758451325487193e-1+/-0.392e-23% Desired digits 8 Estimated correct digits 11 Correct digits 4 h -0.450000000000001930500000000008207e-1+/-0.398e-28 Radius of convergence (given) for eq 1 0.1980000000000006563700000000027854e1+/-0.124e-24 Order of pole (given) 0.2e1+/-0.50e-31 NO 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 ) = m1 * 2.0 / x / x / x ; Iterations 40 Total Elapsed Time 1 Minutes 21 Seconds Elapsed Time(since restart) 1 Minutes 21 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 1 Minutes 21 Seconds Time to Timeout 18 Minutes 39 Seconds Percent Done 0.0%