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/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(20.0) x_end=c(30.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $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 $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-2.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # 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=false $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(10.0) * (c(0.1) * c(x) + c(0.2)) * ln(c(0.1) * c(x) + c(0.2)) - c(x) - c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e2+/-0.50e-32 y[1] (closed_form) -0.46539380719860562718539466157429738e1+/-0.112e-28 y[1] (numeric) -0.46539380719860562718539466157429738e1+/-0.112e-28 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.224e-28 relative error 0.0e0+/-0.4813128076377874275553778780200716e-27% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2001e2+/-0.100e-31 y[1] (closed_form) -0.46460512259994152193457747090190988e1+/-0.116e-28 y[1] (numeric) -0.46460512259994152193457747086748837e1+/-0.112e-28 absolute error 0.3442151e-27+/-0.228e-28 relative error 0.740876678401141944350291517920979507e-26+/-0.49e-27% Desired digits 8 Estimated correct digits 13 Correct digits 27 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2002e2+/-0.150e-31 y[1] (closed_form) -0.46381598366232493872778727646371099e1+/-0.121e-28 y[1] (numeric) -0.46381598366232493872778727639490032e1+/-0.112e-28 absolute error 0.6881067e-27+/-0.233e-28 relative error 0.148357694481906198330547165856254695e-25+/-0.502e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2003e2+/-0.200e-31 y[1] (closed_form) -0.46302639059208602457628767049709325e1+/-0.127e-28 y[1] (numeric) -0.46302639059208602457628767039392333e1+/-0.112e-28 absolute error 0.10316992e-26+/-0.239e-28 relative error 0.222816500519707881007140489465838544e-25+/-0.516e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2004e2+/-0.250e-31 y[1] (closed_form) -0.46223634359536760904397228777885954e1+/-0.132e-28 y[1] (numeric) -0.4622363435953676090439722876413629e1+/-0.112e-28 absolute error 0.13749664e-26+/-0.244e-28 relative error 0.297459604605132025326440369522798675e-25+/-0.527e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2005e2+/-0.300e-31 y[1] (closed_form) -0.46144584287812545921670204956053508e1+/-0.137e-28 y[1] (numeric) -0.46144584287812545921670204938873954e1+/-0.112e-28 absolute error 0.17179554e-26+/-0.249e-28 relative error 0.372298380517372423614877563319902259e-25+/-0.539e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2006e2+/-0.350e-31 y[1] (closed_form) -0.46065488864612853420911291818945097e1+/-0.142e-28 y[1] (numeric) -0.46065488864612853420911291798339133e1+/-0.112e-28 absolute error 0.20605964e-26+/-0.254e-28 relative error 0.447318904192273527140386471628667763e-25+/-0.551e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2007e2+/-0.400e-31 y[1] (closed_form) -0.45986348110495923920994250689542591e1+/-0.147e-28 y[1] (numeric) -0.45986348110495923920994250665513293e1+/-0.112e-28 absolute error 0.24029298e-26+/-0.259e-28 relative error 0.522531120372125246323316645340266987e-25+/-0.563e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2008e2+/-0.450e-31 y[1] (closed_form) -0.45907162046001367906692103916907895e1+/-0.152e-28 y[1] (numeric) -0.45907162046001367906692103889458149e1+/-0.112e-28 absolute error 0.27449746e-26+/-0.264e-28 relative error 0.597940381775155791849932351913640797e-25+/-0.575e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2009e2+/-0.500e-31 y[1] (closed_form) -0.4582793069165019114122693111397878e1+/-0.157e-28 y[1] (numeric) -0.45827930691650191141226931083111791e1+/-0.112e-28 absolute error 0.30866989e-26+/-0.269e-28 relative error 0.673540972375258007839432212964765493e-25+/-0.586e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.201e2+/-0.550e-31 y[1] (closed_form) -0.45748654067944819932984347834589507e1+/-0.162e-28 y[1] (numeric) -0.4574865406794481993298434780030844e1+/-0.112e-28 absolute error 0.34281067e-26+/-0.274e-28 relative error 0.749334984786362663024031769370254031e-25+/-0.598e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2011e2+/-0.600e-31 y[1] (closed_form) -0.45669332195369126356496366524455972e1+/-0.167e-28 y[1] (numeric) -0.45669332195369126356496366486763942e1+/-0.112e-28 absolute error 0.3769203e-26+/-0.279e-28 relative error 0.825324746128474692567930321432432348e-25+/-0.61e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2012e2+/-0.650e-31 y[1] (closed_form) -0.45589965094388453427796058170124232e1+/-0.172e-28 y[1] (numeric) -0.4558996509438845342779605812902414e1+/-0.112e-28 absolute error 0.41100092e-26+/-0.284e-28 relative error 0.901516198025317201456144540328498512e-25+/-0.622e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2013e2+/-0.700e-31 y[1] (closed_form) -0.45510552785449640234247152549673813e1+/-0.177e-28 y[1] (numeric) -0.45510552785449640234247152505168833e1+/-0.112e-28 absolute error 0.4450498e-26+/-0.289e-28 relative error 0.977904623787142047035212162226278815e-25+/-0.635e-27% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2014e2+/-0.750e-31 y[1] (closed_form) -0.45431095288981047018951435356087748e1+/-0.182e-28 y[1] (numeric) -0.45431095288981047018951435308180922e1+/-0.112e-28 absolute error 0.47906826e-26+/-0.294e-28 relative error 0.10544941893932154854235434092450449e-24+/-0.647e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2015e2+/-0.800e-31 y[1] (closed_form) -0.45351592625392580219836521715427803e1+/-0.187e-28 y[1] (numeric) -0.45351592625392580219836521664122266e1+/-0.112e-28 absolute error 0.51305537e-26+/-0.299e-28 relative error 0.113128412983833729758923758122789703e-24+/-0.659e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2016e2+/-0.850e-31 y[1] (closed_form) -0.45272044815075717463526307754112497e1+/-0.192e-28 y[1] (numeric) -0.45272044815075717463526307699411489e1+/-0.112e-28 absolute error 0.54701008e-26+/-0.304e-28 relative error 0.120827341074252540589804360408346202e-24+/-0.671e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2017e2+/-0.900e-31 y[1] (closed_form) -0.45192451878403532514096124879488295e1+/-0.197e-28 y[1] (numeric) -0.45192451878403532514096124821394438e1+/-0.112e-28 absolute error 0.58093857e-26+/-0.309e-28 relative error 0.128547698974840889332183150841907815e-24+/-0.683e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2018e2+/-0.950e-31 y[1] (closed_form) -0.45112813835730720176814345322351074e1+/-0.202e-28 y[1] (numeric) -0.45112813835730720176814345260867659e1+/-0.112e-28 absolute error 0.61483415e-26+/-0.314e-28 relative error 0.136288140269590689920761099740270098e-24+/-0.696e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2019e2+/-0.1e-30 y[1] (closed_form) -0.45033130707393621156971912245974843e1+/-0.208e-28 y[1] (numeric) -0.45033130707393621156971912181104878e1+/-0.112e-28 absolute error 0.64869965e-26+/-0.320e-28 relative error 0.144049423126936922853535477056003979e-24+/-0.71e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.202e2+/-0.1e-30 y[1] (closed_form) -0.44953402513710246873900993350357488e1+/-0.209e-28 y[1] (numeric) -0.44953402513710246873900993282104147e1+/-0.112e-28 absolute error 0.68253341e-26+/-0.321e-28 relative error 0.151831312388830972782555113429824104e-24+/-0.714e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2021e2+/-0.1e-30 y[1] (closed_form) -0.448736292749803042302836833897242e1+/-0.209e-28 y[1] (numeric) -0.44873629274980304230283683318090424e1+/-0.112e-28 absolute error 0.71633776e-26+/-0.321e-28 relative error 0.159634460500256564629578905245934726e-24+/-0.715e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2022e2+/-0.1e-30 y[1] (closed_form) -0.44793811011485220336851408372669308e1+/-0.209e-28 y[1] (numeric) -0.44793811011485220336851408297658291e1+/-0.112e-28 absolute error 0.75011017e-26+/-0.321e-28 relative error 0.167458439695535236393068532100178859e-24+/-0.716e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2023e2+/-0.1e-30 y[1] (closed_form) -0.44713947743488167192575412424604236e1+/-0.209e-28 y[1] (numeric) -0.44713947743488167192575412346218945e1+/-0.112e-28 absolute error 0.78385291e-26+/-0.321e-28 relative error 0.175303892757748048317409980854508261e-24+/-0.717e-27% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2024e2+/-0.1e-30 y[1] (closed_form) -0.44634039491234086320448437358289917e1+/-0.209e-28 y[1] (numeric) -0.44634039491234086320448437276533257e1+/-0.112e-28 absolute error 0.8175666e-26+/-0.321e-28 relative error 0.183171097511926117047467020086594658e-24+/-0.719e-27% Desired digits 8 Estimated correct digits 12 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2025e2+/-0.1e-30 y[1] (closed_form) -0.44554086274949713358957434917115185e1+/-0.209e-28 y[1] (numeric) -0.44554086274949713358957434831990176e1+/-0.112e-28 absolute error 0.85125009e-26+/-0.321e-28 relative error 0.191059936623279067851349176137182331e-24+/-0.72e-27% Desired digits 8 Estimated correct digits 12 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2026e2+/-0.1e-30 y[1] (closed_form) -0.44474088114843602609346882424350866e1+/-0.209e-28 y[1] (numeric) -0.4447408811484360260934688233586082e1+/-0.112e-28 absolute error 0.88490046e-26+/-0.321e-28 relative error 0.198969894045934804935512312491817781e-24+/-0.721e-27% Desired digits 8 Estimated correct digits 12 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2027e2+/-0.1e-30 y[1] (closed_form) -0.44394045031106151538772004186822084e1+/-0.209e-28 y[1] (numeric) -0.44394045031106151538772004094969625e1+/-0.112e-28 absolute error 0.91852459e-26+/-0.321e-28 relative error 0.206902657632663447944509420840733998e-24+/-0.723e-27% Desired digits 8 Estimated correct digits 12 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2028e2+/-0.1e-30 y[1] (closed_form) -0.4431395704390962523944093346024507e1+/-0.209e-28 y[1] (numeric) -0.44313957043909625239440933365033591e1+/-0.112e-28 absolute error 0.95211479e-26+/-0.321e-28 relative error 0.214856639648897196718661754148222094e-24+/-0.724e-27% Desired digits 8 Estimated correct digits 12 Correct digits 25 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; Iterations 286 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 1 Hours 41 Minutes 31 Seconds Optimized Time Remaining 1 Hours 41 Minutes 31 Seconds Expected Total Time 1 Hours 44 Minutes 31 Seconds Time to Timeout 0 Seconds Percent Done 0.287e1+/-0.105e-29%