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/add_lin_fullpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) 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 #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] -0.5e1+/-0.50e-32 y[1] (closed_form) -0.31655714300080312872249345067883296e0+/-0.541e-31 y[1] (numeric) -0.31655714300080312872249345067883296e0+/-0.543e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1084e-30 relative error 0.0e0+/-0.342434225215777175617750689334020283e-28% 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 0.558313583593174849040387859225895598e0+/-0.173e-28 Order of pole (three term test) 0.329711111703343290780327585002286413e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.499e1+/-0.100e-31 y[1] (closed_form) -0.329404076013717058656346970456593e0+/-0.668e-31 y[1] (numeric) -0.32940407601371705865634698523487811e0+/-0.643e-31 absolute error 0.1477828511e-25+/-0.131e-30 relative error 0.448636983756831291238791356541327879e-23+/-0.397e-28% 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 0.567725700852266970311426516252558209e0+/-0.176e-28 Order of pole (three term test) 0.329700977319380111672794889596851765e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.498e1+/-0.150e-31 y[1] (closed_form) -0.34223582134883762523253698192002866e0+/-0.785e-31 y[1] (numeric) -0.34223582134883762523253701146882398e0+/-0.743e-31 absolute error 0.2954879532e-25+/-0.152e-30 relative error 0.863404514569537183316971579162633657e-23+/-0.444e-28% 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 0.577117380047442712088162309535625003e0+/-0.178e-28 Order of pole (three term test) 0.329690673700741139822497974214140421e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.497e1+/-0.200e-31 y[1] (closed_form) -0.35505229038552327787703670708439467e0+/-0.912e-31 y[1] (numeric) -0.35505229038552327787703675139579244e0+/-0.843e-31 absolute error 0.4431139777e-25+/-0.175e-30 relative error 0.124802455778797393930494313163206673e-22+/-0.492e-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 0.586488283079265348179834996260435002e0+/-0.182e-28 Order of pole (three term test) 0.329680201218355533442945723905572058e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.496e1+/-0.250e-31 y[1] (closed_form) -0.36785339455061911631504100201109712e0+/-0.103e-30 y[1] (numeric) -0.36785339455061911631504106107705666e0+/-0.943e-31 absolute error 0.5906595954e-25+/-0.197e-30 relative error 0.16056929313417583339500008045671979e-22+/-0.535e-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 0.595838072596237789284539188494716384e0+/-0.185e-28 Order of pole (three term test) 0.329669560249231527389227324196737795e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.495e1+/-0.300e-31 y[1] (closed_form) -0.38063904531925404836720021383774378e0+/-0.115e-30 y[1] (numeric) -0.38063904531925404836720028765009163e0+/-0.1e-30 absolute error 0.7381234785e-25+/-0.215e-30 relative error 0.193916910936163264955564600346045936e-22+/-0.564e-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 0.605166412006947200450521253217856681e0+/-0.188e-28 Order of pole (three term test) 0.329658751176442860902274318390297384e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.494e1+/-0.350e-31 y[1] (closed_form) -0.39340915421563751319190709431564441e0+/-0.128e-30 y[1] (numeric) -0.39340915421563751319190718286607438e0+/-0.1e-30 absolute error 0.8855042997e-25+/-0.228e-30 relative error 0.225084823322294296287627018653763422e-22+/-0.579e-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 0.614472965492182255586408607888069275e0+/-0.191e-28 Order of pole (three term test) 0.329647774389114986995619848231709049e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.493e1+/-0.400e-31 y[1] (closed_form) -0.40616363281385576280313296715281123e0+/-0.14e-30 y[1] (numeric) -0.40616363281385576280313307043288453e0+/-0.1e-30 absolute error 0.1032800733e-24+/-0.24e-30 relative error 0.254281932098369615192496937417455358e-22+/-0.59e-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 0.623757398017022592800517705210042586e0+/-0.193e-28 Order of pole (three term test) 0.32963663028241106398111566522068404e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.492e1+/-0.450e-31 y[1] (closed_form) -0.41890239273866769469728486353558646e0+/-0.152e-30 y[1] (numeric) -0.41890239273866769469728498153673172e0+/-0.1e-30 absolute error 0.11800114526e-24+/-0.252e-30 relative error 0.281691265806674510634505122577237457e-22+/-0.601e-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 0.633019375342900035350154151625986573e0+/-0.196e-28 Order of pole (three term test) 0.329625319257517729637910473842550017e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.491e1+/-0.500e-31 y[1] (closed_form) -0.43162534566630022842659535598329682e0+/-0.164e-30 y[1] (numeric) -0.43162534566630022842659548869681013e0+/-0.1e-30 absolute error 0.13271351331e-24+/-0.264e-30 relative error 0.307473865106624110417445917078474877e-22+/-0.611e-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 0.642258564039631143998253395025712456e0+/-0.2e-28 Order of pole (three term test) 0.329613841721630658536817987111259051e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.550e-31 y[1] (closed_form) -0.44433240332524321896066129881769017e0+/-0.177e-30 y[1] (numeric) -0.44433240332524321896066144623473526e0+/-0.1e-30 absolute error 0.14741704509e-24+/-0.277e-30 relative error 0.331771988688597645303712843038551977e-22+/-0.623e-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 0.651474631497420667606776656706587326e0+/-0.203e-28 Order of pole (three term test) 0.329602198087939903040009457366942645e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.489e1+/-0.600e-31 y[1] (closed_form) -0.45702347749704389968191658706207073e0+/-0.189e-30 y[1] (numeric) -0.45702347749704389968191674917367898e0+/-0.1e-30 absolute error 0.16211160825e-24+/-0.289e-30 relative error 0.354711773534760177799780616515037357e-22+/-0.632e-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 0.66066724593883545984393711643875398e0+/-0.206e-28 Order of pole (three term test) 0.329590388775615018503753110226770236e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.488e1+/-0.650e-31 y[1] (closed_form) -0.46969848001710084786505733700391343e0+/-0.201e-30 y[1] (numeric) -0.46969848001710084786505751380098399e0+/-0.1e-30 absolute error 0.17679707056e-24+/-0.301e-30 relative error 0.376405456014171362788153209011482321e-22+/-0.64e-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 0.669836076430748430945548071946002967e0+/-0.209e-28 Order of pole (three term test) 0.329578414209789973219691576593311134e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.487e1+/-0.700e-31 y[1] (closed_form) -0.4823573227754574654947355328597107e0+/-0.212e-30 y[1] (numeric) -0.48235732277545746549473572433301052e0+/-0.1e-30 absolute error 0.19147329982e-24+/-0.312e-30 relative error 0.39695323524534297475992458009711533e-22+/-0.646e-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 0.678980792896252104549519609511332787e0+/-0.212e-28 Order of pole (three term test) 0.329566274821547843637897807008459719e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.486e1+/-0.750e-31 y[1] (closed_form) -0.4949999177175949682801991362931444e0+/-0.225e-30 y[1] (numeric) -0.49499991771759496828019934243330834e0+/-0.1e-30 absolute error 0.20614016394e-24+/-0.325e-30 relative error 0.416444844860774541830236392456597752e-22+/-0.656e-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 0.68810106612654135071674440642166666e0+/-0.215e-28 Order of pole (three term test) 0.329553971047905295422679785426079179e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.485e1+/-0.800e-31 y[1] (closed_form) -0.50762617684522487572998287969984009e0+/-0.235e-30 y[1] (numeric) -0.50762617684522487572998310049737103e0+/-0.1e-30 absolute error 0.22079753094e-24+/-0.335e-30 relative error 0.434960884626170736208137183697196216e-22+/-0.659e-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 0.697196567792764867361267246989560468e0+/-0.218e-28 Order of pole (three term test) 0.329541503331796850899814357389704623e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.484e1+/-0.850e-31 y[1] (closed_form) -0.52023601221708099515424442034796365e0+/-0.248e-30 y[1] (numeric) -0.52023601221708099515424465579323256e0+/-0.1e-30 absolute error 0.23544526891e-24+/-0.348e-30 relative error 0.452573953707293134771165861530244571e-22+/-0.668e-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 0.706266970457844983437686724508306203e0+/-0.22e-28 Order of pole (three term test) 0.329528872122058943461580373083829821e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.483e1+/-0.900e-31 y[1] (closed_form) -0.53282933594971089246689518023968486e0+/-0.258e-30 y[1] (numeric) -0.53282933594971089246689543032293088e0+/-0.1e-30 absolute error 0.25008324602e-24+/-0.358e-30 relative error 0.469349619375317528461659552073602622e-22+/-0.671e-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 0.715311947588265358374150919892008018e0+/-0.222e-28 Order of pole (three term test) 0.3295160778734137595036308419434363e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.482e1+/-0.950e-31 y[1] (closed_form) -0.54540606021826684266429399494226084e0+/-0.27e-30 y[1] (numeric) -0.54540606021826684266429425965359135e0+/-0.1e-30 absolute error 0.26471133051e-24+/-0.37e-30 relative error 0.485347248257683071081007518249719169e-22+/-0.678e-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 0.72433117356582615339504053916773867e0+/-0.226e-28 Order of pole (three term test) 0.329503121046452868475392626355473516e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.481e1+/-0.1e-30 y[1] (closed_form) -0.55796609725729625286195460206002941e0+/-0.282e-30 y[1] (numeric) -0.55796609725729625286195488138942015e0+/-0.1e-30 absolute error 0.27932939074e-24+/-0.382e-30 relative error 0.500620722500980492360368836790141773e-22+/-0.684e-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 0.733324323699366251548441450206650973e0+/-0.229e-28 Order of pole (three term test) 0.329490002107620641633310092110880029e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.1e-30 y[1] (closed_form) -0.57050935936153155077546497433381336e0+/-0.28e-30 y[1] (numeric) -0.57050935936153155077546526827110849e0+/-0.1e-30 absolute error 0.29393729513e-24+/-0.38e-30 relative error 0.515219058735427431798372209544866548e-22+/-0.666e-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 0.742291074236452104439751627926934925e0+/-0.231e-28 Order of pole (three term test) 0.329476721529197460093855808063227011e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.479e1+/-0.1e-30 y[1] (closed_form) -0.58303575888667953153662750083938425e0+/-0.279e-30 y[1] (numeric) -0.58303575888667953153662780937429648e0+/-0.1e-30 absolute error 0.30853491223e-24+/-0.379e-30 relative error 0.529186945272713045621280507622685792e-22+/-0.65e-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 0.751231102375032784874202492051382617e0+/-0.234e-28 Order of pole (three term test) 0.32946327978928271279081657308069613e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.478e1+/-0.1e-30 y[1] (closed_form) -0.59554520825021015574070399911276561e0+/-0.278e-30 y[1] (numeric) -0.59554520825021015574070432223487627e0+/-0.1e-30 absolute error 0.32312211066e-24+/-0.378e-30 relative error 0.542565209464744235571682506682618466e-22+/-0.634e-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 0.760144086275060825827658250826730816e0+/-0.238e-28 Order of pole (three term test) 0.329449677371777584948926471776010282e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.477e1+/-0.1e-30 y[1] (closed_form) -0.60803761993214479162558845738248798e0+/-0.278e-30 y[1] (numeric) -0.60803761993214479162558879508124711e0+/-0.1e-30 absolute error 0.33769875913e-24+/-0.378e-30 relative error 0.555391225904223142250722800741946974e-22+/-0.621e-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 0.769029705070078427396745351031611635e0+/-0.24e-28 Order of pole (three term test) 0.329435914766367637693460049381692222e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.476e1+/-0.1e-30 y[1] (closed_form) -0.62051290647584389428873321498722889e0+/-0.277e-30 y[1] (numeric) -0.62051290647584389428873356725195534e0+/-0.1e-30 absolute error 0.35226472645e-24+/-0.377e-30 relative error 0.567699273896913542558946338546010796e-22+/-0.607e-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 0.777887638878768614626113138462375666e0+/-0.244e-28 Order of pole (three term test) 0.329421992468505179422917779016447626e2+/-0.126e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; Iterations 248 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 2 Minutes 59 Seconds Expected Time Remaining 1 Hours 57 Minutes 28 Seconds Optimized Time Remaining 1 Hours 56 Minutes 49 Seconds Expected Total Time 1 Hours 59 Minutes 49 Seconds Time to Timeout 0 Seconds Percent Done 0.249e1+/-0.105e-29%