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/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $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 $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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(cos(c(x)) + (c(0.05) * 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] 0.1e0+/-0.50e-33 y[1] (closed_form) 0.109550416527802576609556198780387028e1+/-0.616e-33 y[1] (numeric) 0.109550416527802576609556198780387028e1+/-0.17e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.2316e-32 relative error 0.0e0+/-0.21140951110963846377877946543686601712741e-30% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.99334665397530610648363801053705553e-1+/-0.306e-29 Order of pole (three term test) 0.320099667110793791850496790381035545e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.110456109795669685035783961141984805e1+/-0.622e-32 y[1] (numeric) 0.11045610979566968503578395940349348e1+/-0.203e-31 absolute error 0.1738491325e-25+/-0.265e-31 relative error 0.157392047231791582953036651905836102e-23+/-0.239e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043466316781154544956882e0+/-0.338e-29 Order of pole (three term test) 0.32012051275334697256035163119522935e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.111352863585386625224809816785763385e1+/-0.119e-31 y[1] (numeric) 0.111352863585386625224809813143113631e1+/-0.383e-31 absolute error 0.3642649754e-25+/-0.502e-31 relative error 0.327126724604327332499992060451567664e-23+/-0.45e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356729764033333947783273e0+/-0.367e-29 Order of pole (three term test) 0.320143310125739851984127017249788565e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.112240689371478803959451217115181459e1+/-0.177e-31 y[1] (numeric) 0.112240689371478803959451211402896586e1+/-0.538e-31 absolute error 0.5712284873e-25+/-0.715e-31 relative error 0.508931734559671563926022435658835488e-23+/-0.637e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607755239897502452549272e0+/-0.397e-29 Order of pole (three term test) 0.320168050109327433882452925342731795e2+/-0.123e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.113119599621263717189894822701140027e1+/-0.237e-31 y[1] (numeric) 0.113119599621263717189894814753950308e1+/-0.663e-31 absolute error 0.7947189719e-25+/-0.900e-31 relative error 0.70254754663276962002211986318506574e-23+/-0.795e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205687063834998883371357e0+/-0.429e-29 Order of pole (three term test) 0.320194722808446145272214778628477857e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.113989607793604228673498099865433895e1+/-0.297e-31 y[1] (numeric) 0.113989607793604228673498089518293093e1+/-0.793e-31 absolute error 0.10347140802e-24+/-0.109e-30 relative error 0.907726678096401102452690275654650791e-23+/-0.956e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066979178087943832336791e0+/-0.459e-29 Order of pole (three term test) 0.320223317554371969915324938706659679e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.114850728337562694904095252401833768e1+/-0.359e-31 y[1] (numeric) 0.114850728337562694904095239489935637e1+/-0.973e-31 absolute error 0.12911898131e-24+/-0.133e-30 relative error 0.112423302123518861501406230899659848e-22+/-0.115e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805888780186016195905341e0+/-0.493e-29 Order of pole (three term test) 0.320253822909587795677461042395136857e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.115702976690956070917192999021250311e1+/-0.421e-31 y[1] (numeric) 0.115702976690956070917192983380045078e1+/-0.1e-30 absolute error 0.15641205233e-24+/-0.142e-30 relative error 0.135184121276134770402522789379333454e-22+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1667435460704072030972881335881178e0+/-0.518e-29 Order of pole (three term test) 0.320286226672358268874724893996670197e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.116546369278812141459271602461153274e1+/-0.485e-31 y[1] (numeric) 0.116546369278812141459271583926364097e1+/-0.1e-30 absolute error 0.18534789177e-24+/-0.148e-30 relative error 0.159033604321551194916435711543346626e-22+/-0.126e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754499335905080910173732e0+/-0.546e-29 Order of pole (three term test) 0.320320515881610325727480494150956925e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.117380923511727031896787750418991377e1+/-0.551e-31 y[1] (numeric) 0.117380923511727031896787728826630768e1+/-0.1e-30 absolute error 0.21592360609e-24+/-0.155e-30 relative error 0.183951190389491172497466002042559274e-22+/-0.132e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649134107642369807488335e0+/-0.578e-29 Order of pole (three term test) 0.320356676822117448773862555128957062e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.118206657784124163112419651674816886e1+/-0.615e-31 y[1] (numeric) 0.118206657784124163112419626861203111e1+/-0.1e-30 absolute error 0.24813613775e-24+/-0.161e-30 relative error 0.20991722666176770671182496407373451e-22+/-0.136e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432525119795641171482878e0+/-0.607e-29 Order of pole (three term test) 0.320394695029985574609512596365335661e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.11902359147241482449161385680993463e1+/-0.682e-31 y[1] (numeric) 0.119023591472414824491613828611708076e1+/-0.1e-30 absolute error 0.28198226554e-24+/-0.168e-30 relative error 0.236912919574732245133715025013782208e-22+/-0.141e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388022652978509855349753228754579e0+/-0.637e-29 Order of pole (three term test) 0.32043455529843845866359118704897027e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.119831744933060548940602298104469635e1+/-0.752e-31 y[1] (numeric) 0.119831744933060548940602266358609152e1+/-0.1e-30 absolute error 0.31745860483e-24+/-0.175e-30 relative error 0.264920288866139925703297364649978899e-22+/-0.146e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299980714511695432397071e0+/-0.671e-29 Order of pole (three term test) 0.32047624168390018294229309937961818e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.120631139500537483696773064807159828e1+/-0.821e-31 y[1] (numeric) 0.120631139500537483696773029350999025e1+/-0.1e-30 absolute error 0.35456160803e-24+/-0.182e-30 relative error 0.293922124501211576882764137320293883e-22+/-0.15e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275988856469532376352513e0+/-0.692e-29 Order of pole (three term test) 0.320519737512372373817866988342629588e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.121421797485202960492617524696337902e1+/-0.891e-31 y[1] (numeric) 0.121421797485202960492617485367581413e1+/-0.1e-30 absolute error 0.39328756489e-24+/-0.189e-30 relative error 0.323901945973026712037276011414051611e-22+/-0.155e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23088958777074145068616653785631305e0+/-0.717e-29 Order of pole (three term test) 0.320565025386103579061052426923590897e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.122203742171064478414459544949418919e1+/-0.963e-31 y[1] (numeric) 0.122203742171064478414459501586158636e1+/-0.1e-30 absolute error 0.43363260283e-24+/-0.196e-30 relative error 0.354843963962239408235798835744951412e-22+/-0.16e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210150641833133056688212e0+/-0.749e-29 Order of pole (three term test) 0.320612087190548136455045163382200028e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) 0.12297699781345132255582176464500649e1+/-0.103e-30 y[1] (numeric) 0.122976997813451322555821717085737753e1+/-0.1e-30 absolute error 0.47559268737e-24+/-0.203e-30 relative error 0.386733044249011005526528325137712966e-22+/-0.165e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24844006892186836360242216348788022e0+/-0.772e-29 Order of pole (three term test) 0.320660904101611750536328692204517108e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) 0.123741589636589051301623270949220303e1+/-0.111e-30 y[1] (numeric) 0.123741589636589051301623219032858049e1+/-0.1e-30 absolute error 0.51916362254e-24+/-0.211e-30 relative error 0.419554673626472408940552296557309581e-22+/-0.17e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655655891674534901090818e0+/-0.811e-29 Order of pole (three term test) 0.32071145659318087932828220788194616e2+/-0.125e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.905e-31 y[1] (closed_form) 0.124497543831077094792459005359647704e1+/-0.118e-30 y[1] (numeric) 0.124497543831077094792458948925542575e1+/-0.1e-30 absolute error 0.56434105129e-24+/-0.218e-30 relative error 0.453294927694090865775858683122948365e-22+/-0.175e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26559309896044170863612004846348806e0+/-0.829e-29 Order of pole (three term test) 0.320763724444932919413261982894223203e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.955e-31 y[1] (closed_form) 0.125244887551269716807012477793186211e1+/-0.126e-30 y[1] (numeric) 0.125244887551269716807012416681140618e1+/-0.1e-30 absolute error 0.61112045593e-24+/-0.226e-30 relative error 0.487940440427026866071618212820260471e-22+/-0.18e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27401196839593678492256015437348819e0+/-0.854e-29 Order of pole (three term test) 0.320817686750424065373261749830763722e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.1e-30 y[1] (closed_form) 0.125983648912560601964231022756804989e1+/-0.133e-30 y[1] (numeric) 0.125983648912560601964230956807089133e1+/-0.1e-30 absolute error 0.65949715856e-24+/-0.233e-30 relative error 0.523478375370542204466093241893967719e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28232123669751768554145440237781541e0+/-0.879e-29 Order of pole (three term test) 0.320873321925451608563212511533280901e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.1e-30 y[1] (closed_form) 0.126713856988571339784280543620220774e1+/-0.134e-30 y[1] (numeric) 0.126713856988571339784280472673588622e1+/-0.1e-30 absolute error 0.70946632152e-24+/-0.234e-30 relative error 0.559896398374164127077462579951584176e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29051758026865254496079002925638203e0+/-0.907e-29 Order of pole (three term test) 0.320930607716687330408908289684191345e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.1e-30 y[1] (closed_form) 0.127435541808244086757530727376609173e1+/-0.135e-30 y[1] (numeric) 0.127435541808244086757530651274314377e1+/-0.1e-30 absolute error 0.76102294796e-24+/-0.235e-30 relative error 0.597182651842241191837741270975644244e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119603306779831616426061e0+/-0.936e-29 Order of pole (three term test) 0.320989521210578536987349017357221809e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.1e-30 y[1] (closed_form) 0.128148734352838697152941057836620525e1+/-0.136e-30 y[1] (numeric) 0.128148734352838697152940976420432302e1+/-0.1e-30 absolute error 0.81416188223e-24+/-0.236e-30 relative error 0.635325730169386590266999102449110691e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30655842598671690150855633962798781e0+/-0.966e-29 Order of pole (three term test) 0.321050038842513174594347317040789869e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.1e-30 y[1] (closed_form) 0.128853466552834622850264406002657713e1+/-0.137e-30 y[1] (numeric) 0.128853466552834622850264319114876661e1+/-0.1e-30 absolute error 0.86887781052e-24+/-0.237e-30 relative error 0.67431465661323779314415285861924214e-22+/-0.183e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.314396512009234264116143250574589e0+/-0.977e-29 Order of pole (three term test) 0.321112136406245360375372032973193399e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e0+/-0.1e-30 y[1] (closed_form) 0.129549771284737892003503235730366557e1+/-0.139e-30 y[1] (numeric) 0.129549771284737892003503143213840432e1+/-0.1e-30 absolute error 0.92516526125e-24+/-0.239e-30 relative error 0.714138861130504090847970171246515119e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32210884361884553415143373949108084e0+/-0.1e-28 Order of pole (three term test) 0.321175789063577557933048246474271994e2+/-0.124e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; Iterations 252 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 55 Minutes 24 Seconds Optimized Time Remaining 55 Minutes 24 Seconds Expected Total Time 58 Minutes 25 Seconds Time to Timeout 0.0 Seconds Percent Done 0.516326530612244897959183673469387755e1+/-0.204e-29%