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_full_linpostode.ode################# diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ; ! #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(c(-0.05) * c(x) * c(x) - c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)) 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) -0.33257063123826267986483739038393819e1+/-0.621e-32 y[1] (numeric) -0.33257063123826267986483739038393819e1+/-0.953e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1574e-31 relative error 0.0e0+/-0.473282921627659727893212512436197559e-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 0.42846758648692517466325008175164236e0+/-0.132e-28 Order of pole (three term test) 0.320168050109327433882452925342731806e2+/-0.123e-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) -0.33265000994836904604552861567235661e1+/-0.795e-32 y[1] (numeric) -0.33265000994836904604552861547589769e1+/-0.735e-31 absolute error 0.19645892e-26+/-0.814e-31 relative error 0.590587446639465284439736099230955375e-25+/-0.244e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 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 0.43812371589155644638734597133305336e0+/-0.135e-28 Order of pole (three term test) 0.320175849454446889614484090735109042e2+/-0.123e-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) -0.33272741515511600542791827214266928e1+/-0.974e-32 y[1] (numeric) -0.33272741515511600542791827174529108e1+/-0.12e-30 absolute error 0.3973782e-26+/-0.129e-30 relative error 0.119430555433715641721571005586971858e-24+/-0.387e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.44776407288973292661344770664076515e0+/-0.138e-28 Order of pole (three term test) 0.320183822468464977624788910663317677e2+/-0.123e-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) -0.33280284806535579214978900217649583e1+/-0.115e-31 y[1] (numeric) -0.33280284806535579214978900157373982e1+/-0.152e-30 absolute error 0.60275601e-26+/-0.163e-30 relative error 0.181115039580920542837267272351641157e-24+/-0.489e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.45738831042964383829465199424020154e0+/-0.141e-28 Order of pole (three term test) 0.320191968864354054346679614240136226e2+/-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) -0.33287630991269128885048198830979503e1+/-0.134e-31 y[1] (numeric) -0.33287630991269128885048198749720453e1+/-0.188e-30 absolute error 0.8125905e-26+/-0.201e-30 relative error 0.244111844490564950443012286164840236e-24+/-0.603e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.46699608203977716104511976398066944e0+/-0.144e-28 Order of pole (three term test) 0.320200288348844747583094408960083874e2+/-0.123e-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) -0.33294780195746492425328001612199206e1+/-0.153e-31 y[1] (numeric) -0.33294780195746492425328001509511227e1+/-0.222e-30 absolute error 0.102687979e-25+/-0.237e-30 relative error 0.308420654517847503020216960461386073e-24+/-0.711e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.47658704184139256815393166778929364e0+/-0.148e-28 Order of pole (three term test) 0.320208780622436514172323520741913706e2+/-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) -0.33301732548674733009205627353259747e1+/-0.171e-31 y[1] (numeric) -0.33301732548674733009205627228697551e1+/-0.26e-30 absolute error 0.124562196e-25+/-0.277e-30 relative error 0.374041187850921721472306511780097365e-24+/-0.831e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.48616084456097302388199054741815115e0+/-0.149e-28 Order of pole (three term test) 0.32021744537940842197521699564196752e2+/-0.121e-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) -0.33308488181432575748427647010040191e1+/-0.191e-31 y[1] (numeric) -0.3330848818143257574842764686315869e1+/-0.296e-30 absolute error 0.146881501e-25+/-0.315e-30 relative error 0.440973184372496863961870980680377678e-24+/-0.945e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 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 0.49571714554265459278581295354952061e0+/-0.154e-28 Order of pole (three term test) 0.320226282307830155795723888210750105e2+/-0.122e-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) -0.33315047228069225285460684111671425e1+/-0.157e-31 y[1] (numeric) -0.33315047228069225285460683942025729e1+/-0.332e-30 absolute error 0.169645696e-25+/-0.347e-30 relative error 0.509216435560286078514067269335126979e-24+/-0.104e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.50525560076063401359641647756004203e0+/-0.156e-28 Order of pole (three term test) 0.320235291089573246838550885719933257e2+/-0.122e-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) -0.33321409825303159351554464420811453e1+/-0.232e-31 y[1] (numeric) -0.33321409825303159351554464227956876e1+/-0.37e-30 absolute error 0.192854577e-25+/-0.393e-30 relative error 0.578770760334254261452107785797081235e-24+/-0.117e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.51477586683155359098198327237016467e0+/-0.159e-28 Order of pole (three term test) 0.320244471400322525299681105329287947e2+/-0.122e-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) -0.33327576112520898301365084133944589e1+/-0.254e-31 y[1] (numeric) -0.33327576112520898301365083917436657e1+/-0.402e-30 absolute error 0.216507932e-25+/-0.427e-30 relative error 0.64963599893680758032704683750067518e-24+/-0.128e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.52427760102686295933953387319684473e0+/-0.163e-28 Order of pole (three term test) 0.320253822909587795677461042395136875e2+/-0.122e-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) -0.33333546231775750635212676706651962e1+/-0.275e-31 y[1] (numeric) -0.3333354623177575063521267646604641e1+/-0.438e-30 absolute error 0.240605552e-25+/-0.465e-30 relative error 0.721812045820191805050879301467959995e-24+/-0.139e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.53376046128515727359344988683879563e0+/-0.165e-28 Order of pole (three term test) 0.320263345280715734383945731722271941e2+/-0.122e-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) -0.33339320327786534520263769517129675e1+/-0.297e-31 y[1] (numeric) -0.33339320327786534520263769251982456e1+/-0.472e-30 absolute error 0.265147219e-25+/-0.501e-30 relative error 0.795298813512445905035790541478927e-24+/-0.15e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.54322410622449138282730932568412239e0+/-0.169e-28 Order of pole (three term test) 0.3202730381709020092281893982740133e2+/-0.122e-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) -0.33344898547936275322144631097015211e1+/-0.319e-31 y[1] (numeric) -0.33344898547936275322144630806882502e1+/-0.506e-30 absolute error 0.290132709e-25+/-0.537e-30 relative error 0.870096241507252661463194712869347404e-24+/-0.161e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.55266819515466954344011376952408039e0+/-0.171e-28 Order of pole (three term test) 0.32028290123120362033518150777960803e2+/-0.123e-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) -0.33350281042270879158707815617738052e1+/-0.342e-31 y[1] (numeric) -0.33350281042270879158707815302176255e1+/-0.54e-30 absolute error 0.315561797e-25+/-0.574e-30 relative error 0.946204311142179338886546893567851388e-24+/-0.172e-28% Desired digits 8 Estimated correct digits 12 Correct digits 25 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 0.56209238808951022939856101842270415e0+/-0.175e-28 Order of pole (three term test) 0.320292934106551462056156468358791048e2+/-0.123e-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) -0.33355467963497782487889911779984725e1+/-0.365e-31 y[1] (numeric) -0.33355467963497782487889911438550468e1+/-0.572e-30 absolute error 0.341434257e-25+/-0.608e-30 relative error 0.102362304547381889698846058218135441e-23+/-0.182e-28% Desired digits 8 Estimated correct digits 12 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 0.57149634575908559805351875274398281e0+/-0.177e-28 Order of pole (three term test) 0.320303136435763105418049568698933823e2+/-0.123e-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) -0.33360459466984577741814196271259065e1+/-0.390e-31 y[1] (numeric) -0.33360459466984577741814195903509208e1+/-0.61e-30 absolute error 0.367749857e-25+/-0.649e-30 relative error 0.110235249416737299653501843435320704e-23+/-0.194e-28% Desired digits 8 Estimated correct digits 12 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 0.58087972962193517090125166800622014e0+/-0.18e-28 Order of pole (three term test) 0.320313507851555800651932352873890039e2+/-0.123e-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) -0.33365255710757615019507475590689529e1+/-0.412e-31 y[1] (numeric) -0.33365255710757615019507475196181171e1+/-0.642e-30 absolute error 0.394508358e-25+/-0.683e-30 relative error 0.118239273038990299734466372875812569e-23+/-0.204e-28% Desired digits 8 Estimated correct digits 12 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 0.59024220187725328959821375632550748e0+/-0.183e-28 Order of pole (three term test) 0.320324047980559699332337812402429083e2+/-0.123e-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) -0.3336985685550057985081587235093583e1+/-0.436e-31 y[1] (numeric) -0.33369856855500579850815871929226311e1+/-0.676e-30 absolute error 0.421709519e-25+/-0.719e-30 relative error 0.126374386568723551344238482263298756e-23+/-0.215e-28% Desired digits 8 Estimated correct digits 12 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 0.59958342547704990848230544559574777e0+/-0.188e-28 Order of pole (three term test) 0.320334756443331295651479807828675669e2+/-0.123e-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) -0.33374263064553047044319671215027475e1+/-0.461e-31 y[1] (numeric) -0.33374263064553047044319670765674379e1+/-0.71e-30 absolute error 0.449353096e-25+/-0.756e-30 relative error 0.134640604687166836060280090770295754e-23+/-0.226e-28% Desired digits 8 Estimated correct digits 12 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 0.60890306413828428581337819516395033e0+/-0.189e-28 Order of pole (three term test) 0.320345632854367086344482299581250926e2+/-0.123e-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) -0.33378474503909010632262583472997125e1+/-0.485e-31 y[1] (numeric) -0.33378474503909010632262582995558286e1+/-0.742e-30 absolute error 0.477438839e-25+/-0.79e-30 relative error 0.143037944692195659013152916895758408e-23+/-0.236e-28% Desired digits 8 Estimated correct digits 12 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 0.61820078235497113692141232691627779e0+/-0.191e-28 Order of pole (three term test) 0.320356676822117448773862555128957069e2+/-0.123e-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) -0.33382491342215389925725915972058852e1+/-0.489e-31 y[1] (numeric) -0.33382491342215389925725915466092355e1+/-0.776e-30 absolute error 0.505966497e-25+/-0.824e-30 relative error 0.151566427985605859887940473950277552e-23+/-0.246e-28% Desired digits 8 Estimated correct digits 12 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 0.62747624541025881344216222034345602e0+/-0.195e-28 Order of pole (three term test) 0.320367887949000736673658789868872413e2+/-0.123e-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) -0.33386313750770511693493137748686348e1+/-0.495e-31 y[1] (numeric) -0.33386313750770511693493137213750536e1+/-0.81e-30 absolute error 0.534935812e-25+/-0.859e-30 relative error 0.160226078264676462914223949295582967e-23+/-0.257e-28% Desired digits 8 Estimated correct digits 12 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 0.63672911938847907382712083015013196e0+/-0.197e-28 Order of pole (three term test) 0.320379265831417593045756975490322116e2+/-0.123e-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) -0.33389941903522568478265224336201836e1+/-0.499e-31 y[1] (numeric) -0.33389941903522568478265223771855311e1+/-0.846e-30 absolute error 0.564346525e-25+/-0.895e-30 relative error 0.169016923309010798657852941816431657e-23+/-0.268e-28% Desired digits 8 Estimated correct digits 12 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 0.64595907118716801133736654133846418e0+/-0.202e-28 Order of pole (three term test) 0.320390810059765479693154093840570532e2+/-0.123e-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) -0.33393375977068053064101923403414466e1+/-0.504e-31 y[1] (numeric) -0.33393375977068053064101922809216095e1+/-0.882e-30 absolute error 0.594198371e-25+/-0.932e-30 relative error 0.177938993472252926931760908539316e-23+/-0.279e-28% Desired digits 8 Estimated correct digits 12 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 0.65516576852905770676918284194409182e0+/-0.204e-28 Order of pole (three term test) 0.320402520218453422867096208002804286e2+/-0.123e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ; Iterations 246 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 56 Minutes 30 Seconds Optimized Time Remaining 56 Minutes 30 Seconds Expected Total Time 59 Minutes 30 Seconds Time to Timeout 0 Seconds Percent Done 0.504081632653061224489795918367346938e1+/-0.204e-29%