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/sing6postode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=30; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(2.0) x_end=c(3.0) # ELIMINATED in preodein.rb $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 $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(6.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(3.0) # 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(6.0) ) / ( c(x) - c(6.0) )) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.50e-33 y[1] (closed_form) 0.625e-1+/-0.623e-34 y[1] (numeric) 0.625e-1+/-0.124e-33 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1863e-33 relative error 0.0e0+/-0.298080000000000000000000000000000594e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.400000000000000000000000000000003662e1+/-0.204e-29 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.400000000000001716000000000007288304e1+/-0.509e-28 Order of pole (three term test) 0.53040000000000225402184015736536131e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.201e1+/-0.550e-32 y[1] (closed_form) 0.628136757934937594613099163949975187e-1+/-0.22e-33 y[1] (numeric) 0.62813675793493759461001827232076288e-1+/-0.115e-32 absolute error 0.3080891629212307e-21+/-0.137e-32 relative error 0.490481028262228486707000000000000001e-18+/-0.218e-29% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.399000000000000000000000000000003825e1+/-0.119e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3990000000000017117100000000072701e1+/-0.506e-28 Order of pole (three term test) 0.53040000000000225400614135720611693e-13+/-0.674e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.202e1+/-0.105e-31 y[1] (closed_form) 0.631297189464912502209540163127193743e-1+/-0.38e-33 y[1] (numeric) 0.631297189464912502203315988378358621e-1+/-0.17e-32 absolute error 0.6224174748835122e-21+/-0.208e-32 relative error 0.985934176914478665288000000000000023e-18+/-0.329e-29% Desired digits 8 Estimated correct digits 13 Correct digits 19 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.398000000000000000000000000000003898e1+/-0.219e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.398000000000001707420000000007251774e1+/-0.503e-28 Order of pole (three term test) 0.53040000000000225397925300805539748e-13+/-0.674e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.203e1+/-0.155e-31 y[1] (closed_form) 0.634481533414969957299392801172521863e-1+/-0.542e-33 y[1] (numeric) 0.634481533414969957289961526773440799e-1+/-0.225e-32 absolute error 0.9431274399081064e-21+/-0.279e-32 relative error 0.148645372676476741597600000000000002e-17+/-0.439e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.397000000000000000000000000000003843e1+/-0.318e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.397000000000001703130000000007233504e1+/-0.503e-28 Order of pole (three term test) 0.53040000000000225394961460261113906e-13+/-0.674e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.204e1+/-0.205e-31 y[1] (closed_form) 0.637690031629425568819508213447607373e-1+/-0.706e-33 y[1] (numeric) 0.637690031629425568806804561570684951e-1+/-0.283e-32 absolute error 0.12703651876922422e-20+/-0.353e-32 relative error 0.199213587273146652835200000000000004e-17+/-0.553e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.396000000000000000000000000000003922e1+/-0.413e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.396000000000001698840000000007215276e1+/-0.498e-28 Order of pole (three term test) 0.53040000000000225394515937074053066e-13+/-0.669e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.205e1+/-0.255e-31 y[1] (closed_form) 0.640922929017785611280243550713026734e-1+/-0.875e-33 y[1] (numeric) 0.640922929017785611264200744959636195e-1+/-0.341e-32 absolute error 0.16042805753390539e-20+/-0.428e-32 relative error 0.250307876767275884747500000000000009e-17+/-0.667e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.395000000000000000000000000000003832e1+/-0.516e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.395000000000001694550000000007197273e1+/-0.498e-28 Order of pole (three term test) 0.53040000000000225403711923782240816e-13+/-0.674e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.206e1+/-0.305e-31 y[1] (closed_form) 0.644180473601484191811177819577932944e-1+/-0.104e-32 y[1] (numeric) 0.644180473601484191791727546655839815e-1+/-0.381e-32 absolute error 0.19450272922093129e-20+/-0.485e-32 relative error 0.301938256733404897344400000000000004e-17+/-0.752e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.394000000000000000000000000000004063e1+/-0.617e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.394000000000001690260000000007179103e1+/-0.496e-28 Order of pole (three term test) 0.53040000000000225405470856721189313e-13+/-0.67e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.207e1+/-0.355e-31 y[1] (closed_form) 0.647462916561453942725430400973784223e-1+/-0.121e-32 y[1] (numeric) 0.647462916561453942702502771293794271e-1+/-0.421e-32 absolute error 0.22927629679989952e-20+/-0.542e-32 relative error 0.354114947644476809644800000000000001e-17+/-0.837e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.393000000000000000000000000000004013e1+/-0.714e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.393000000000001685970000000007160806e1+/-0.502e-28 Order of pole (three term test) 0.53040000000000225401992363644237209e-13+/-0.681e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.208e1+/-0.405e-31 y[1] (closed_form) 0.650770512286547271970012494793835892e-1+/-0.139e-32 y[1] (numeric) 0.650770512286547271943536001952330806e-1+/-0.479e-32 absolute error 0.26476492841505086e-20+/-0.618e-32 relative error 0.406848379599703753510400000000000006e-17+/-0.949e-29% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.392000000000000000000000000000003915e1+/-0.812e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39200000000000168168000000000714247e1+/-0.495e-28 Order of pole (three term test) 0.53040000000000225399270595972711526e-13+/-0.671e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.209e1+/-0.455e-31 y[1] (closed_form) 0.654103518422825596378882922011237493e-1+/-0.157e-32 y[1] (numeric) 0.654103518422825596348784401124145181e-1+/-0.522e-32 absolute error 0.30098520887092312e-20+/-0.679e-32 relative error 0.460149197173955975087200000000000003e-17+/-0.103e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.391000000000000000000000000000004048e1+/-0.913e-28 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.391000000000001677390000000007124433e1+/-0.497e-28 Order of pole (three term test) 0.53040000000000225406338715568558589e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.505e-31 y[1] (closed_form) 0.657462195923734385272846811308349769e-1+/-0.175e-32 y[1] (numeric) 0.657462195923734385239051396160938918e-1+/-0.577e-32 absolute error 0.33795415147410851e-20+/-0.752e-32 relative error 0.51402826439211904371e-17+/-0.114e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.390000000000000000000000000000003958e1+/-0.101e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.390000000000001673100000000007106045e1+/-0.499e-28 Order of pole (three term test) 0.53040000000000225399932381093805554e-13+/-0.68e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.211e1+/-0.555e-31 y[1] (closed_form) 0.660846809101182254941482015054090308e-1+/-0.193e-32 y[1] (numeric) 0.660846809101182254903913094029779502e-1+/-0.626e-32 absolute error 0.37568921024310806e-20+/-0.819e-32 relative error 0.568496669831973547472600000000000002e-17+/-0.123e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.389000000000000000000000000000003909e1+/-0.111e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.389000000000001668810000000007087913e1+/-0.496e-28 Order of pole (three term test) 0.53040000000000225402058726088048944e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.212e1+/-0.605e-31 y[1] (closed_form) 0.664257625677542778191093633754915489e-1+/-0.212e-32 y[1] (numeric) 0.664257625677542778149672804505044564e-1+/-0.666e-32 absolute error 0.41420829249870925e-20+/-0.878e-32 relative error 0.623565731859256853320000000000000016e-17+/-0.132e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.388000000000000000000000000000004216e1+/-0.121e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.388000000000001664520000000007069623e1+/-0.495e-28 Order of pole (three term test) 0.53040000000000225401143827646196826e-13+/-0.68e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.213e1+/-0.655e-31 y[1] (closed_form) 0.667694916838598107752605679412962609e-1+/-0.23e-32 y[1] (numeric) 0.667694916838598107707252702228185763e-1+/-0.706e-32 absolute error 0.45352977184776846e-20+/-0.936e-32 relative error 0.67924700399868434485740000000000002e-17+/-0.14e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.38700000000000000000000000000000405e1+/-0.131e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.387000000000001660230000000007051396e1+/-0.493e-28 Order of pole (three term test) 0.53040000000000225401079044731186218e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.214e1+/-0.705e-31 y[1] (closed_form) 0.671158957287443958227066498429488031e-1+/-0.25e-32 y[1] (numeric) 0.671158957287443958177699248272113152e-1+/-0.746e-32 absolute error 0.49367250157374879e-20+/-0.996e-32 relative error 0.735552280444822747148400000000000009e-17+/-0.148e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.386000000000000000000000000000004082e1+/-0.141e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38600000000000165594000000000703317e1+/-0.493e-28 Order of pole (three term test) 0.53040000000000225400841615751538099e-13+/-0.678e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.215e1+/-0.755e-31 y[1] (closed_form) 0.674650025299375948726598077247427896e-1+/-0.269e-32 y[1] (numeric) 0.674650025299375948673132494402642358e-1+/-0.795e-32 absolute error 0.53465582844785538e-20+/-0.106e-31 relative error 0.792493601716833637005e-17+/-0.157e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.385000000000000000000000000000003807e1+/-0.151e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38500000000000165165000000000701483e1+/-0.493e-28 Order of pole (three term test) 0.53040000000000225397844167252083433e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.216e1+/-0.805e-31 y[1] (closed_form) 0.67816840277777777777777777777777776e-1+/-0.289e-32 y[1] (numeric) 0.678168402777777777720127817080266054e-1+/-0.844e-32 absolute error 0.57649960697511706e-20+/-0.113e-31 relative error 0.850083260461228611993600000000000022e-17+/-0.166e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.384000000000000000000000000000003924e1+/-0.161e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.384000000000001647360000000006996813e1+/-0.49e-28 Order of pole (three term test) 0.53040000000000225404581838579956539e-13+/-0.675e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.217e1+/-0.855e-31 y[1] (closed_form) 0.681714375311032183735658433829394151e-1+/-0.309e-32 y[1] (numeric) 0.68171437531103218367373601242036484e-1+/-0.92e-32 absolute error 0.61922421409029311e-20+/-0.122e-31 relative error 0.908333807406910060127900000000000012e-17+/-0.178e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.383000000000000000000000000000004043e1+/-0.171e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.383000000000001643070000000006978434e1+/-0.494e-28 Order of pole (three term test) 0.53040000000000225399019743052007433e-13+/-0.684e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.218e1+/-0.905e-31 y[1] (closed_form) 0.685288232230476138263753734820865654e-1+/-0.329e-32 y[1] (numeric) 0.685288232230476138197468678388962707e-1+/-0.968e-32 absolute error 0.66285056431902947e-20+/-0.129e-31 relative error 0.967258057476900563802800000000000002e-17+/-0.188e-28% Desired digits 8 Estimated correct digits 13 Correct digits 18 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.382000000000000000000000000000004078e1+/-0.181e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.382000000000001638780000000006960491e1+/-0.49e-28 Order of pole (three term test) 0.53040000000000225409202591235458826e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.219e1+/-0.955e-31 y[1] (closed_form) 0.688890266669422227733344355577600026e-1+/-0.35e-32 y[1] (numeric) 0.688890266669422227662604343035573237e-1+/-0.1e-31 absolute error 0.70740012542026789e-20+/-0.135e-31 relative error 0.102686909606131507180290000000000002e-16+/-0.195e-28% Desired digits 8 Estimated correct digits 13 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.381000000000000000000000000000004059e1+/-0.191e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.381000000000001634490000000006942041e1+/-0.496e-28 Order of pole (three term test) 0.53040000000000225400749685603117295e-13+/-0.691e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.1e-30 y[1] (closed_form) 0.692520775623268698060941828254847631e-1+/-0.367e-32 y[1] (numeric) 0.692520775623268697985652334802197798e-1+/-0.1e-31 absolute error 0.75289493452649833e-20+/-0.136e-31 relative error 0.108718028545626358852000000000000002e-16+/-0.196e-28% Desired digits 8 Estimated correct digits 13 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.380000000000000000000000000000004086e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.380000000000001630200000000006923987e1+/-0.48e-28 Order of pole (three term test) 0.53040000000000225406793047103451514e-13+/-0.669e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.221e1+/-0.1e-30 y[1] (closed_form) 0.696180060010721172924165106063032137e-1+/-0.37e-32 y[1] (numeric) 0.696180060010721172844229344583125766e-1+/-0.1e-31 absolute error 0.79935761479906371e-20+/-0.137e-31 relative error 0.11482052714735231036811e-16+/-0.196e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.379000000000000000000000000000004001e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.379000000000001625910000000006905762e1+/-0.479e-28 Order of pole (three term test) 0.5304000000000022540608753631750814e-13+/-0.673e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.222e1+/-0.1e-30 y[1] (closed_form) 0.699868424736149603874471599339324206e-1+/-0.373e-32 y[1] (numeric) 0.699868424736149603789790460077686853e-1+/-0.1e-31 absolute error 0.84681139261637353e-20+/-0.137e-31 relative error 0.12099579902259791546052e-16+/-0.195e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.378000000000000000000000000000004226e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.378000000000001621620000000006887513e1+/-0.475e-28 Order of pole (three term test) 0.53040000000000225405231114263110162e-13+/-0.67e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.223e1+/-0.1e-30 y[1] (closed_form) 0.703586178753104574013748073932835649e-1+/-0.376e-32 y[1] (numeric) 0.703586178753104573924220062401481128e-1+/-0.1e-31 absolute error 0.89528011531354521e-20+/-0.137e-31 relative error 0.127245267509398867152090000000000002e-16+/-0.194e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.377000000000000000000000000000003854e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.377000000000001617330000000006869372e1+/-0.476e-28 Order of pole (three term test) 0.53040000000000225406749825292067021e-13+/-0.672e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.224e1+/-0.1e-30 y[1] (closed_form) 0.707333635129017655047532820280669973e-1+/-0.191e-32 y[1] (numeric) 0.707333635129017654953053993331400897e-1+/-0.1e-31 absolute error 0.94478826949269076e-20+/-0.119e-31 relative error 0.133570386387798648885760000000000002e-16+/-0.168e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.376000000000000000000000000000004152e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.376000000000001613040000000006851022e1+/-0.477e-28 Order of pole (three term test) 0.53040000000000225403611994246828886e-13+/-0.671e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.225e1+/-0.1e-30 y[1] (closed_form) 0.711111111111111111111111111111111093e-1+/-0.382e-32 y[1] (numeric) 0.711111111111111111011575011118732473e-1+/-0.1e-31 absolute error 0.9953609999237862e-20+/-0.138e-31 relative error 0.139972640614282434375000000000000003e-16+/-0.194e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.375000000000000000000000000000004478e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.375000000000001608750000000006832886e1+/-0.475e-28 Order of pole (three term test) 0.53040000000000225405161159601033596e-13+/-0.674e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.226e1+/-0.1e-30 y[1] (closed_form) 0.714918928193542852240555920958563288e-1+/-0.385e-32 y[1] (numeric) 0.714918928193542852135853508052881416e-1+/-0.1e-31 absolute error 0.104702412905681872e-19+/-0.138e-31 relative error 0.146453547075951575278720000000000002e-16+/-0.193e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.374000000000000000000000000000003997e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.374000000000001604460000000006814513e1+/-0.476e-28 Order of pole (three term test) 0.53040000000000225401454752262290152e-13+/-0.675e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.227e1+/-0.1e-30 y[1] (closed_form) 0.718757412185813166198276419725578418e-1+/-0.388e-32 y[1] (numeric) 0.718757412185813166088296002008910112e-1+/-0.1e-31 absolute error 0.109980417716668306e-19+/-0.138e-31 relative error 0.15301465536502344745474e-16+/-0.191e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.373000000000000000000000000000003945e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.373000000000001600170000000006796309e1+/-0.473e-28 Order of pole (three term test) 0.53040000000000225400980679765148489e-13+/-0.672e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.228e1+/-0.1e-30 y[1] (closed_form) 0.722626893282460400046248121170077446e-1+/-0.392e-32 y[1] (numeric) 0.722626893282460399930875282854765605e-1+/-0.1e-31 absolute error 0.115372838315311841e-19+/-0.139e-31 relative error 0.159657548574261138049440000000000004e-16+/-0.192e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.372000000000000000000000000000004339e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.372000000000001595880000000006778195e1+/-0.473e-28 Order of pole (three term test) 0.53040000000000225405067997494961073e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.229e1+/-0.1e-30 y[1] (closed_form) 0.72652770613407342288998190946011725e-1+/-0.395e-32 y[1] (numeric) 0.72652770613407342276909943685823494e-1+/-0.1e-31 absolute error 0.12088247260188231e-19+/-0.139e-31 relative error 0.166383844113956830307100000000000002e-16+/-0.191e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.37100000000000000000000000000000404e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37100000000000159159000000000675984e1+/-0.474e-28 Order of pole (three term test) 0.53040000000000225400198653902346143e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.1e-30 y[1] (closed_form) 0.730460189919649379108838568298027756e-1+/-0.398e-32 y[1] (numeric) 0.730460189919649378982326373593051396e-1+/-0.1e-31 absolute error 0.12651219470497636e-19+/-0.139e-31 relative error 0.17319519455111263684e-16+/-0.19e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.370000000000000000000000000000004338e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.370000000000001587300000000006741767e1+/-0.47e-28 Order of pole (three term test) 0.53040000000000225403965778776983721e-13+/-0.676e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.231e1+/-0.1e-30 y[1] (closed_form) 0.734424688420325937676720940651140921e-1+/-0.401e-32 y[1] (numeric) 0.734424688420325937544455983378878861e-1+/-0.1e-31 absolute error 0.13226495727226206e-19+/-0.14e-31 relative error 0.180093288471484743516600000000000001e-16+/-0.19e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.369000000000000000000000000000004101e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.369000000000001583010000000006723548e1+/-0.472e-28 Order of pole (three term test) 0.53040000000000225402267629299731819e-13+/-0.68e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.232e1+/-0.1e-30 y[1] (closed_form) 0.738421550094517958412098298676748559e-1+/-0.405e-32 y[1] (numeric) 0.738421550094517958273954504840222143e-1+/-0.1e-31 absolute error 0.138143793836526416e-19+/-0.14e-31 relative error 0.187079851365177533603840000000000005e-16+/-0.189e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.368000000000000000000000000000004104e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.368000000000001578720000000006705251e1+/-0.468e-28 Order of pole (three term test) 0.53040000000000225400629759689429849e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.233e1+/-0.1e-30 y[1] (closed_form) 0.74245112815448923074638611913370801e-1+/-0.408e-32 y[1] (numeric) 0.742451128154489230602234297873993113e-1+/-0.1e-31 absolute error 0.144151821259714897e-19+/-0.14e-31 relative error 0.194156646536497397620330000000000003e-16+/-0.188e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.367000000000000000000000000000003984e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.367000000000001574430000000006687314e1+/-0.47e-28 Order of pole (three term test) 0.53040000000000225409619811634686354e-13+/-0.68e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.234e1+/-0.1e-30 y[1] (closed_form) 0.746513780644390695452238048314371857e-1+/-0.411e-32 y[1] (numeric) 0.746513780644390695301945806056616269e-1+/-0.1e-31 absolute error 0.150292242257755588e-19+/-0.141e-31 relative error 0.201325476038799075461280000000000007e-16+/-0.188e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.366000000000000000000000000000004245e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.366000000000001570140000000006668969e1+/-0.467e-28 Order of pole (three term test) 0.53040000000000225405953181481017731e-13+/-0.678e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.235e1+/-0.1e-30 y[1] (closed_form) 0.750609870519797335334959654719459534e-1+/-0.414e-32 y[1] (numeric) 0.750609870519797335178391306710390389e-1+/-0.1e-31 absolute error 0.156568348009069145e-19+/-0.141e-31 relative error 0.208588181635082368426250000000000007e-16+/-0.187e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.365000000000000000000000000000004049e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.365000000000001565850000000006650694e1+/-0.467e-28 Order of pole (three term test) 0.53040000000000225405413781905522118e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.236e1+/-0.1e-30 y[1] (closed_form) 0.75473976572877671778770679869580967e-1+/-0.418e-32 y[1] (numeric) 0.754739765728776717624723277846032472e-1+/-0.1e-31 absolute error 0.162983520849777198e-19+/-0.141e-31 relative error 0.215946645785120796262080000000000004e-16+/-0.186e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.364000000000000000000000000000004432e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.364000000000001561560000000006632685e1+/-0.464e-28 Order of pole (three term test) 0.53040000000000225412099532617550372e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.237e1+/-0.1e-30 y[1] (closed_form) 0.758903839294522990991811427574012093e-1+/-0.421e-32 y[1] (numeric) 0.758903839294522990822270190515272104e-1+/-0.1e-31 absolute error 0.169541237058739989e-19+/-0.142e-31 relative error 0.223402792659931096105410000000000001e-16+/-0.187e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.363000000000000000000000000000004151e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.363000000000001557270000000006614195e1+/-0.463e-28 Order of pole (three term test) 0.53040000000000225404307372978254241e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.238e1+/-0.1e-30 y[1] (closed_form) 0.763102469399590977076401819236287044e-1+/-0.425e-32 y[1] (numeric) 0.763102469399590976900156749500611459e-1+/-0.1e-31 absolute error 0.176245069735675585e-19+/-0.142e-31 relative error 0.230958589184418713607400000000000001e-16+/-0.186e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.362000000000000000000000000000004273e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.362000000000001552980000000006596181e1+/-0.463e-28 Order of pole (three term test) 0.53040000000000225411270334762313027e-13+/-0.679e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.239e1+/-0.1e-30 y[1] (closed_form) 0.767336039471765870427636374797615096e-1+/-0.428e-32 y[1] (numeric) 0.767336039471765870244537683021874845e-1+/-0.1e-31 absolute error 0.183098691775740251e-19+/-0.142e-31 relative error 0.238616046109062452505710000000000007e-16+/-0.185e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.361000000000000000000000000000004194e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.361000000000001548690000000006577698e1+/-0.464e-28 Order of pole (three term test) 0.53040000000000225402126046730054937e-13+/-0.682e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.1e-30 y[1] (closed_form) 0.771604938271604938271604938271604916e-1+/-0.432e-32 y[1] (numeric) 0.771604938271604938081499059327522721e-1+/-0.1e-31 absolute error 0.190105878944082195e-19+/-0.143e-31 relative error 0.246377219111530524720000000000000007e-16+/-0.185e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.360000000000000000000000000000004463e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.360000000000001544400000000006559447e1+/-0.461e-28 Order of pole (three term test) 0.53040000000000225399804947890467413e-13+/-0.683e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.241e1+/-0.1e-30 y[1] (closed_form) 0.775909559981688534384432150588527381e-1+/-0.435e-32 y[1] (numeric) 0.775909559981688534187161637534508667e-1+/-0.1e-31 absolute error 0.197270513054018714e-19+/-0.143e-31 relative error 0.254244209929149858790340000000000006e-16+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.359000000000000000000000000000004349e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.359000000000001540110000000006541423e1+/-0.457e-28 Order of pole (three term test) 0.53040000000000225407910658704889043e-13+/-0.677e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.242e1+/-0.1e-30 y[1] (closed_form) 0.780250304297618676071283667800630418e-1+/-0.439e-32 y[1] (numeric) 0.780250304297618675866687082547999166e-1+/-0.1e-31 absolute error 0.204596585252631252e-19+/-0.143e-31 relative error 0.262219167523182317813280000000000008e-16+/-0.183e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.358000000000000000000000000000004465e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.358000000000001535820000000006523101e1+/-0.455e-28 Order of pole (three term test) 0.53040000000000225405325032500778101e-13+/-0.675e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.243e1+/-0.1e-30 y[1] (closed_form) 0.784627576520804400191449128671076246e-1+/-0.443e-32 y[1] (numeric) 0.784627576520804399979360929253353929e-1+/-0.1e-31 absolute error 0.212088199417722317e-19+/-0.144e-31 relative error 0.270304289275892915793330000000000009e-16+/-0.183e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.357000000000000000000000000000004587e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.357000000000001531530000000006504938e1+/-0.452e-28 Order of pole (three term test) 0.53040000000000225405879362826963072e-13+/-0.672e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.244e1+/-0.1e-30 y[1] (closed_form) 0.789041787653074106804696376720111095e-1+/-0.447e-32 y[1] (numeric) 0.789041787653074106584946801049876144e-1+/-0.1e-31 absolute error 0.219749575670234951e-19+/-0.144e-31 relative error 0.27850182222142896749936e-16+/-0.182e-28% Desired digits 8 Estimated correct digits 12 Correct digits 17 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.356000000000000000000000000000004467e1+/-0.199e-27 Order of pole (given) 0.3e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.356000000000001527240000000006486812e1+/-0.449e-28 Order of pole (three term test) 0.53040000000000225409670884051433451e-13+/-0.666e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations 442 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 3 Minutes 47 Seconds Optimized Time Remaining 3 Minutes 47 Seconds Expected Total Time 6 Minutes 48 Seconds Time to Timeout 0.0 Seconds Percent Done 0.443e2+/-0.1e-28%