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_sin_cospostode.ode################# diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( 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)) - sin(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) 0.89517074863119761378874778939324826e0+/-0.672e-33 y[1] (numeric) 0.89517074863119761378874778939324826e0+/-0.155e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.2222e-32 relative error 0.0e0+/-0.248220800712897762044930702360794684e-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 0.49003328892062081205407281656142219e0+/-0.166e-28 Order of pole (three term test) 0.325993346653975306226179290170815531e2+/-0.135e-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) 0.884177797119522041692890121336393357e0+/-0.619e-32 y[1] (numeric) 0.884177797119522041692889938194690225e0+/-0.157e-31 absolute error 0.183141703132e-24+/-0.218e-31 relative error 0.207132212241293291707205782303761129e-22+/-0.246e-29% 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 0.48794872466530274091403191159554837e0+/-0.167e-28 Order of pole (three term test) 0.326091148115404346747377208926832229e2+/-0.138e-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) 0.873096428564946892280747553586664149e0+/-0.117e-31 y[1] (numeric) 0.873096428564946892280747185828720866e0+/-0.255e-31 absolute error 0.367757943283e-24+/-0.372e-31 relative error 0.421211141462874103794321037085911319e-22+/-0.426e-29% 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 0.48566898742601479839863002560918219e0+/-0.169e-28 Order of pole (three term test) 0.326188513132135673088046066937843593e2+/-0.139e-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) 0.861927751095093180053306360443503114e0+/-0.173e-31 y[1] (numeric) 0.86192775109509318005330580661324412e0+/-0.349e-31 absolute error 0.553830258994e-24+/-0.522e-31 relative error 0.642548355462914006513997506521120243e-22+/-0.605e-29% 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 0.48319498906725660844509276586881617e0+/-0.17e-28 Order of pole (three term test) 0.326285402759460775631522928746843969e2+/-0.139e-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) 0.850672881568400690180959875306028664e0+/-0.231e-31 y[1] (numeric) 0.850672881568400690180959133965985475e0+/-0.447e-31 absolute error 0.741340043189e-24+/-0.678e-31 relative error 0.871474875068520116060555813142894449e-22+/-0.797e-29% 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 0.48052771915538546936507427375600656e0+/-0.171e-28 Order of pole (three term test) 0.326381778242820568809760618895828986e2+/-0.14e-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) 0.839332945462443065237255559966697143e0+/-0.29e-31 y[1] (numeric) 0.839332945462443065237254629698152098e0+/-0.537e-31 absolute error 0.930268545045e-24+/-0.827e-31 relative error 0.110834270246886901757079567027095364e-21+/-0.985e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 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 0.47766824456280300496750770040969782e0+/-0.172e-28 Order of pole (three term test) 0.326477601033306698016990113883925203e2+/-0.141e-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) 0.827909076761380985729489364332348061e0+/-0.35e-31 y[1] (numeric) 0.827909076761380985729488243735476194e0+/-0.651e-31 absolute error 0.1120596871867e-23+/-0.1e-30 relative error 0.135352649623139372624580271354015288e-21+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 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 0.47461770904122042868477125728328694e0+/-0.173e-28 Order of pole (three term test) 0.326572832803080588972971208953118413e2+/-0.142e-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) 0.816402417842564699014305613541651603e0+/-0.409e-31 y[1] (numeric) 0.816402417842564699014304301235660615e0+/-0.763e-31 absolute error 0.1312305990988e-23+/-0.117e-30 relative error 0.160742540970899660317957191048058062e-21+/-0.143e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 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 0.47137733276417310890679876110598439e0+/-0.173e-28 Order of pole (three term test) 0.326667435460704072121670743138350854e2+/-0.142e-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) 0.804814119362297236250913284912325924e0+/-0.471e-31 y[1] (numeric) 0.804814119362297236250911779535594277e0+/-0.863e-31 absolute error 0.1505376731647e-23+/-0.133e-30 relative error 0.18704651116705069379355898802068168e-21+/-0.165e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.46794841183896742359727656444448583e0+/-0.174e-28 Order of pole (three term test) 0.326761371166375450020014511188023009e2+/-0.143e-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) 0.793145340140769740975026351208607209e0+/-0.534e-31 y[1] (numeric) 0.79314534014076974097502465141882027e0+/-0.975e-31 absolute error 0.1699789786939e-23+/-0.15e-30 relative error 0.214310001069579046711763744731265516e-21+/-0.189e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.46433231778825511894279188646725082e0+/-0.175e-28 Order of pole (three term test) 0.32685460234706491349290221816416617e2+/-0.145e-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) 0.781397247046180415664783889629779131e0+/-0.594e-31 y[1] (numeric) 0.781397247046180415664781994104063414e0+/-0.1e-30 absolute error 0.1895525715717e-23+/-0.159e-30 relative error 0.242581570754494201884411392715349519e-21+/-0.203e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.4605304970014425353792231645531568e0+/-0.177e-28 Order of pole (three term test) 0.326947091711543252589826328758383845e2+/-0.146e-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) 0.76957101487804867430742614187170333e0+/-0.659e-31 y[1] (numeric) 0.769571014878048674307424049306758784e0+/-0.1e-30 absolute error 0.2092564944546e-23+/-0.165e-30 relative error 0.271913170336541549184790816603862352e-21+/-0.214e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.45654447015615412999051574490251972e0+/-0.178e-28 Order of pole (three term test) 0.32703880226529785105909230479313309e2+/-0.146e-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) 0.757667826249736169454231975587683271e0+/-0.725e-31 y[1] (numeric) 0.757667826249736169454229684699913599e0+/-0.1e-30 absolute error 0.2290887769672e-23+/-0.172e-30 relative error 0.302360439536058196083103717484673688e-21+/-0.227e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.45237583160998170215716655142219129e0+/-0.179e-28 Order of pole (three term test) 0.32712969732532999814072781742928955e2+/-0.147e-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) 0.745688871470186441563113435711527616e0+/-0.787e-31 y[1] (numeric) 0.745688871470186441563110945237168635e0+/-0.1e-30 absolute error 0.2490474358981e-23+/-0.178e-30 relative error 0.333983039611524124600520036946369239e-21+/-0.238e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.44802624876276261465425614770560396e0+/-0.178e-28 Order of pole (three term test) 0.327219740534827598950658630359512852e2+/-0.147e-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) 0.733635348424895016565383162473563728e0+/-0.852e-31 y[1] (numeric) 0.733635348424895016565380471168809755e0+/-0.1e-30 absolute error 0.2691304753973e-23+/-0.185e-30 relative error 0.366845021815155747346733695166882003e-21+/-0.252e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.44349746138964209040774529985699204e0+/-0.179e-28 Order of pole (three term test) 0.32730889587770741456763101363355857e2+/-0.147e-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) 0.721508462456121854547746744644800005e0+/-0.919e-31 y[1] (numeric) 0.721508462456121854547743851285928226e0+/-0.1e-30 absolute error 0.2893358871779e-23+/-0.191e-30 relative error 0.401015237150452417464552447210471637e-21+/-0.264e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 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 0.43879128094518635109794937809553053e0+/-0.18e-28 Order of pole (three term test) 0.327397127693021015120739868380858684e2+/-0.149e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ; Iterations 157 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 1 Hours 30 Minutes 32 Seconds Optimized Time Remaining 1 Hours 30 Minutes 2 Seconds Expected Total Time 1 Hours 33 Minutes 3 Seconds Time to Timeout 0.0 Seconds Percent Done 0.322448979591836734693877551020408163e1+/-0.163e-29%