Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sing5postode.ode################# diff ( y , x , 1 ) = neg ( 3.0 ) / x / 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(-1.0) x_end=c(-0.7) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) $glob_min_h=c(0.001) # 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 # 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(4.0) # 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=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/c(x)/c(x)/c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.50e-32 y[1] (closed_form) -0.1e1+/-0.155e-31 y[1] (numeric) -0.1e1+/-0.165e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.320e-31 relative error 0.0e0+/-0.32000000000000000000000000000000992e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.100000000000000000000000000000001677e1+/-0.5e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.100000000000000429000000000001822097e1+/-0.129e-28 Order of pole (three term test) 0.53040000000000225403232653062182047e-13+/-0.686e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.99e0+/-0.100e-31 y[1] (closed_form) -0.10306101521283645556678920621375472e1+/-0.213e-31 y[1] (numeric) -0.10306101521283644460570052452112551e1+/-0.496e-31 absolute error 0.1096108868169262921e-15+/-0.709e-31 relative error 0.106355333867576764298337900000000009e-13+/-0.687e-29% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.990000000000000000000000000000000059e0+/-0.1e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.99000000000000424710000000001803839e0+/-0.126e-28 Order of pole (three term test) 0.53040000000000225401099610007388262e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.98e0+/-0.150e-31 y[1] (closed_form) -0.10624824690392608521959387670103442e1+/-0.492e-31 y[1] (numeric) -0.10624824690392606225446073349852136e1+/-0.835e-31 absolute error 0.2296513314320251306e-15+/-0.132e-30 relative error 0.216145995933170596719675200000000026e-13+/-0.124e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.98000000000000000000000000000000008e0+/-0.149e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.980000000000004204200000000017856401e0+/-0.126e-28 Order of pole (three term test) 0.53040000000000225404227020230317562e-13+/-0.685e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.97e0+/-0.200e-31 y[1] (closed_form) -0.10956826815299674691811853752658399e1+/-0.455e-31 y[1] (numeric) -0.10956826815299671079454989641647484e1+/-0.105e-30 absolute error 0.3612356864111010915e-15+/-0.15e-30 relative error 0.329690057623878866482579500000000033e-13+/-0.136e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.970000000000000000000000000000000071e0+/-0.199e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.970000000000004161300000000017674182e0+/-0.124e-28 Order of pole (three term test) 0.53040000000000225404208685491971443e-13+/-0.678e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.96e0+/-0.250e-31 y[1] (closed_form) -0.11302806712962962962962962962962962e1+/-0.593e-31 y[1] (numeric) -0.11302806712962957906856164475246688e1+/-0.121e-30 absolute error 0.5056106798487716274e-15+/-0.18e-30 relative error 0.447331970446682814539366400000000038e-13+/-0.159e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.960000000000000000000000000000000079e0+/-0.248e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.960000000000004118400000000017491829e0+/-0.123e-28 Order of pole (three term test) 0.53040000000000225401361459663050713e-13+/-0.678e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.95e0+/-0.300e-31 y[1] (closed_form) -0.11663507799970841230500072896923749e1+/-0.741e-31 y[1] (numeric) -0.11663507799970834588772512166231352e1+/-0.14e-30 absolute error 0.6641727560730692397e-15+/-0.214e-30 relative error 0.569445116738147739387787500000000039e-13+/-0.183e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.950000000000000000000000000000000136e0+/-0.298e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.950000000000004075500000000017309481e0+/-0.119e-28 Order of pole (three term test) 0.53040000000000225400530760280966137e-13+/-0.668e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.94e0+/-0.350e-31 y[1] (closed_form) -0.12039721449004555830596303323926296e1+/-0.134e-30 y[1] (numeric) -0.12039721449004547445717261332714176e1+/-0.159e-30 absolute error 0.838487904199121212e-15+/-0.293e-30 relative error 0.696434637421322892747808000000000094e-13+/-0.243e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.940000000000000000000000000000000158e0+/-0.349e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.940000000000004032600000000017126907e0+/-0.119e-28 Order of pole (three term test) 0.53040000000000225395296647679812937e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.93e0+/-0.400e-31 y[1] (closed_form) -0.12432290637117598280365559073893805e1+/-0.107e-30 y[1] (numeric) -0.12432290637117587977221927296288166e1+/-0.179e-30 absolute error 0.10303143631777605639e-14+/-0.286e-30 relative error 0.828740570222573953896912300000000057e-13+/-0.23e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.930000000000000000000000000000000163e0+/-0.399e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.930000000000003989700000000016945176e0+/-0.117e-28 Order of pole (three term test) 0.53040000000000225398283291666582471e-13+/-0.672e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.92e0+/-0.450e-31 y[1] (closed_form) -0.12842113914687268841949535629160844e1+/-0.126e-30 y[1] (numeric) -0.12842113914687256425662957988329983e1+/-0.199e-30 absolute error 0.12416286577640830861e-14+/-0.325e-30 relative error 0.966841336256998330149036800000000068e-13+/-0.253e-28% Desired digits 8 Estimated correct digits 13 Correct digits 14 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.920000000000000000000000000000000138e0+/-0.449e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.920000000000003946800000000016763149e0+/-0.118e-28 Order of pole (three term test) 0.5304000000000022540168567680655168e-13+/-0.689e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.91e0+/-0.500e-31 y[1] (closed_form) -0.13270149727099370862201438218827422e1+/-0.146e-30 y[1] (numeric) -0.13270149727099356115646462016563233e1+/-0.225e-30 absolute error 0.14746554976202264189e-14+/-0.371e-30 relative error 0.111125761799717164271689190000000008e-12+/-0.279e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.910000000000000000000000000000000174e0+/-0.495e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.910000000000003903900000000016580621e0+/-0.114e-28 Order of pole (three term test) 0.53040000000000225397213886597494334e-13+/-0.673e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.550e-31 y[1] (closed_form) -0.13717421124828532235939643347050754e1+/-0.167e-30 y[1] (numeric) -0.13717421124828514916918004121040804e1+/-0.254e-30 absolute error 0.1731902163922600995e-14+/-0.421e-30 relative error 0.126255667749957612535500000000000004e-12+/-0.306e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.900000000000000000000000000000000179e0+/-0.548e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.900000000000003861000000000016398899e0+/-0.117e-28 Order of pole (three term test) 0.5304000000000022540778585768972304e-13+/-0.689e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.89e0+/-0.600e-31 y[1] (closed_form) -0.14185020901628298549297912390473907e1+/-0.191e-30 y[1] (numeric) -0.14185020901628278387316740207221657e1+/-0.284e-30 absolute error 0.2016198117218325225e-14+/-0.475e-30 relative error 0.142135717049728551554302500000000003e-12+/-0.334e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.890000000000000000000000000000000152e0+/-0.591e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.890000000000003818100000000016216464e0+/-0.113e-28 Order of pole (three term test) 0.53040000000000225404726620121736143e-13+/-0.676e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.88e0+/-0.650e-31 y[1] (closed_form) -0.14674117205108940646130728775356873e1+/-0.217e-30 y[1] (numeric) -0.14674117205108917338723825505029101e1+/-0.314e-30 absolute error 0.23307406903270327772e-14+/-0.531e-30 relative error 0.158833451971854368074403840000000016e-12+/-0.361e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.880000000000000000000000000000000173e0+/-0.646e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.88000000000000377520000000001603451e0+/-0.115e-28 Order of pole (three term test) 0.53040000000000225406533114380259177e-13+/-0.695e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.87e0+/-0.700e-31 y[1] (closed_form) -0.15185959669128310729032365835842812e1+/-0.121e-30 y[1] (numeric) -0.15185959669128283937553515685425856e1+/-0.35e-30 absolute error 0.26791478850150416956e-14+/-0.471e-30 relative error 0.176422691972606000167768680000000013e-12+/-0.31e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.870000000000000000000000000000000203e0+/-0.691e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.87000000000000373230000000001585222e0+/-0.112e-28 Order of pole (three term test) 0.53040000000000225403928752581325891e-13+/-0.691e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.86e0+/-0.750e-31 y[1] (closed_form) -0.15721886123234432188360773265247084e1+/-0.41e-30 y[1] (numeric) -0.15721886123234401533166012296506498e1+/-0.387e-30 absolute error 0.30655194760968740586e-14+/-0.797e-30 relative error 0.194984205588827332621688160000000014e-12+/-0.506e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.860000000000000000000000000000000183e0+/-0.747e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.86000000000000368940000000001566941e0+/-0.113e-28 Order of pole (three term test) 0.53040000000000225394864503108397175e-13+/-0.702e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.85e0+/-0.800e-31 y[1] (closed_form) -0.16283329940972928963973132505597393e1+/-0.152e-30 y[1] (numeric) -0.16283329940972894018894654602766388e1+/-0.428e-30 absolute error 0.34945078477902831005e-14+/-0.580e-30 relative error 0.214606463202420760909456250000000021e-12+/-0.356e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.850000000000000000000000000000000198e0+/-0.794e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.850000000000003646500000000015487192e0+/-0.109e-28 Order of pole (three term test) 0.5304000000000022539677044641026235e-13+/-0.688e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.84e0+/-0.850e-31 y[1] (closed_form) -0.16871828096317892236259583198358707e1+/-0.512e-30 y[1] (numeric) -0.16871828096317852522257061145723111e1+/-0.473e-30 absolute error 0.39714002522052635596e-14+/-0.985e-30 relative error 0.235386481508306853282915840000000021e-12+/-0.583e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.840000000000000000000000000000000208e0+/-0.839e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.840000000000003603600000000015304584e0+/-0.113e-28 Order of pole (three term test) 0.53040000000000225390249863168872144e-13+/-0.715e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.83e0+/-0.900e-31 y[1] (closed_form) -0.17489030005928781172009856817311341e1+/-0.379e-30 y[1] (numeric) -0.17489030005928736149864875302812576e1+/-0.52e-30 absolute error 0.45022144981514498765e-14+/-0.899e-30 relative error 0.257430772125452307053430550000000006e-12+/-0.514e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.830000000000000000000000000000000215e0+/-0.895e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.830000000000003560700000000015123448e0+/-0.107e-28 Order of pole (three term test) 0.53040000000000225406807560136146203e-13+/-0.684e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.82e0+/-0.950e-31 y[1] (closed_form) -0.18136707244526341753601950058762931e1+/-0.629e-30 y[1] (numeric) -0.18136707244526290815497334940731191e1+/-0.573e-30 absolute error 0.5093810461511803174e-14+/-0.12e-29 relative error 0.280856408654283989244203200000000007e-12+/-0.661e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.820000000000000000000000000000000216e0+/-0.941e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.820000000000003517800000000014940435e0+/-0.111e-28 Order of pole (three term test) 0.53040000000000225394004941565493613e-13+/-0.718e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.81e0+/-0.1e-30 y[1] (closed_form) -0.1881676423158920745670732969417113e1+/-0.232e-30 y[1] (numeric) -0.18816764231589149916504625380048265e1+/-0.628e-30 absolute error 0.57540202704314122865e-14+/-0.860e-30 relative error 0.305792228653834017694984650000000015e-12+/-0.457e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.810000000000000000000000000000000204e0+/-0.99e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.810000000000003474900000000014759301e0+/-0.105e-28 Order of pole (three term test) 0.53040000000000225407720414970613582e-13+/-0.692e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.1e-30 y[1] (closed_form) -0.1953125e1+/-0.731e-30 y[1] (numeric) -0.19531249999999935081994229844490264e1+/-0.669e-30 absolute error 0.64918005770155509736e-14+/-0.14e-29 relative error 0.33238018954319620984832e-12+/-0.716e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.800000000000000000000000000000000204e0+/-0.998e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.800000000000003432000000000014576457e0+/-0.128e-28 Order of pole (three term test) 0.53040000000000225402622525033626561e-13+/-0.856e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.79e0+/-0.1e-30 y[1] (closed_form) -0.20282371171448911749374795908640086e1+/-0.255e-30 y[1] (numeric) -0.20282371171448838575264757979962292e1+/-0.724e-30 absolute error 0.73174110037928677794e-14+/-0.979e-30 relative error 0.360776900389903173708759660000000023e-12+/-0.482e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.790000000000000000000000000000000204e0+/-0.992e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.790000000000003389100000000014394544e0+/-0.101e-28 Order of pole (three term test) 0.53040000000000225402988007514764108e-13+/-0.688e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.78e0+/-0.1e-30 y[1] (closed_form) -0.21072506279606871322847654208600953e1+/-0.541e-30 y[1] (numeric) -0.21072506279606788896610906461842037e1+/-0.804e-30 absolute error 0.82426236747746758916e-14+/-0.134e-29 relative error 0.391155355011167199371056320000000021e-12+/-0.635e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.780000000000000000000000000000000225e0+/-0.997e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.780000000000003346200000000014212404e0+/-0.1e-28 Order of pole (three term test) 0.53040000000000225406591633083668876e-13+/-0.683e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.77e0+/-0.1e-30 y[1] (closed_form) -0.21904221600629089244370067443098308e1+/-0.284e-30 y[1] (numeric) -0.21904221600628996434672657451339231e1+/-0.892e-30 absolute error 0.92809697409991759077e-14+/-0.117e-29 relative error 0.423706895876757677467000410000000006e-12+/-0.534e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.770000000000000000000000000000000243e0+/-0.99e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.770000000000003303300000000014030239e0+/-0.989e-29 Order of pole (three term test) 0.53040000000000225407392786103036753e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.76e0+/-0.1e-30 y[1] (closed_form) -0.22780288671818049278320454876804198e1+/-0.298e-30 y[1] (numeric) -0.2278028867181794479802014737295989e1+/-0.98e-30 absolute error 0.104480300307503844308e-13+/-0.127e-29 relative error 0.458643443077868075589486080000000017e-12+/-0.557e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.760000000000000000000000000000000217e0+/-0.993e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.760000000000003260400000000013847965e0+/-0.985e-29 Order of pole (three term test) 0.53040000000000225405015940417945415e-13+/-0.688e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.75e0+/-0.1e-30 y[1] (closed_form) -0.23703703703703703703703703703703703e1+/-0.316e-30 y[1] (numeric) -0.23703703703703586085919229357554164e1+/-0.1e-29 absolute error 0.117617784474346149539e-13+/-0.131e-29 relative error 0.496200028251147818367656250000000014e-12+/-0.552e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.75000000000000000000000000000000026e0+/-0.995e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.750000000000003217500000000013665452e0+/-0.989e-29 Order of pole (three term test) 0.5304000000000022540051865917392678e-13+/-0.7e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.74e0+/-0.1e-30 y[1] (closed_form) -0.24677709118907073618541843523582017e1+/-0.333e-30 y[1] (numeric) -0.24677709118906941188656154121780623e1+/-0.1e-29 absolute error 0.132429885689401801394e-13+/-0.133e-29 relative error 0.536637679986021555680822560000000039e-12+/-0.538e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.740000000000000000000000000000000247e0+/-0.996e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.740000000000003174600000000013483891e0+/-0.952e-29 Order of pole (three term test) 0.53040000000000225409080344338411686e-13+/-0.685e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.73e0+/-0.1e-30 y[1] (closed_form) -0.25705817483554703264895878586282859e1+/-0.352e-30 y[1] (numeric) -0.25705817483554554107734341647738299e1+/-0.1e-29 absolute error 0.14915716153693854456e-13+/-0.135e-29 relative error 0.58024671509615221789097520000000006e-12+/-0.525e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.730000000000000000000000000000000249e0+/-0.991e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.730000000000003131700000000013300566e0+/-0.939e-29 Order of pole (three term test) 0.53040000000000225391587505929640086e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.72e0+/-0.1e-30 y[1] (closed_form) -0.26791838134430727023319615912208503e1+/-0.372e-30 y[1] (numeric) -0.26791838134430558944589269118059376e1+/-0.1e-29 absolute error 0.168078730346794149127e-13+/-0.137e-29 relative error 0.627350499444802225733544960000000042e-12+/-0.511e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.720000000000000000000000000000000263e0+/-0.99e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.720000000000003088800000000013119052e0+/-0.931e-29 Order of pole (three term test) 0.53040000000000225405649766631091657e-13+/-0.685e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.71e0+/-0.1e-30 y[1] (closed_form) -0.27939906848350567599207624241780777e1+/-0.787e-30 y[1] (numeric) -0.27939906848350378080094472120200235e1+/-0.1e-29 absolute error 0.189519113152121580542e-13+/-0.178e-29 relative error 0.678309753073889870133677620000000021e-12+/-0.637e-28% Desired digits 8 Estimated correct digits 13 Correct digits 13 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.710000000000000000000000000000000238e0+/-0.993e-30 Order of pole (given) 0.4e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.710000000000003045900000000012936157e0+/-0.902e-29 Order of pole (three term test) 0.53040000000000225393166072105538713e-13+/-0.676e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ; Iterations 300 Total Elapsed Time 1 Minutes 56 Seconds Elapsed Time(since restart) 1 Minutes 56 Seconds Time to Timeout 1 Minutes 4 Seconds Percent Done 0.100333333333333333333333333333333333e3+/-0.383e-28%