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/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #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(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x)))) 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) -0.16487212707001281468486507878141635e2+/-0.267e-30 y[1] (numeric) -0.16487212707001281468486507878141635e2+/-0.283e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.550e-30 relative error 0.0e0+/-0.333591862841948382982089744245160068e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.499e1+/-0.100e-31 y[1] (closed_form) -0.16470733735153451732984123499494193e2+/-0.224e-30 y[1] (numeric) -0.16470733735153451732984123502240821e2+/-0.603e-30 absolute error 0.2746628e-26+/-0.827e-30 relative error 0.166758084015278429429285134475023068e-25+/-0.502e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.498e1+/-0.150e-31 y[1] (closed_form) -0.16454271234040729712123820264918203e2+/-0.249e-30 y[1] (numeric) -0.16454271234040729712123820270408714e2+/-0.923e-30 absolute error 0.5490511e-26+/-0.117e-29 relative error 0.333683025027640624733974084722897751e-25+/-0.711e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.497e1+/-0.200e-31 y[1] (closed_form) -0.16437825187200612921308438858104785e2+/-0.272e-30 y[1] (numeric) -0.16437825187200612921308438866336437e2+/-0.1e-29 absolute error 0.8231652e-26+/-0.127e-29 relative error 0.500775005589523675910256281610712578e-25+/-0.772e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.496e1+/-0.250e-31 y[1] (closed_form) -0.16421395578187053149917239437142371e2+/-0.297e-30 y[1] (numeric) -0.16421395578187053149917239448112424e2+/-0.1e-29 absolute error 0.10970053e-25+/-0.129e-29 relative error 0.668034147753665550752034768184156149e-25+/-0.785e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.495e1+/-0.300e-31 y[1] (closed_form) -0.16404982390570440015256320509713627e2+/-0.321e-30 y[1] (numeric) -0.16404982390570440015256320523419342e2+/-0.1e-29 absolute error 0.13705715e-25+/-0.132e-29 relative error 0.835460512769463563706375539041264682e-25+/-0.804e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.494e1+/-0.350e-31 y[1] (closed_form) -0.16388585607937584532946867104949766e2+/-0.343e-30 y[1] (numeric) -0.16388585607937584532946867121388409e2+/-0.1e-29 absolute error 0.16438643e-25+/-0.134e-29 relative error 0.100305440586881218488259945743399873e-24+/-0.817e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.493e1+/-0.400e-31 y[1] (closed_form) -0.16372205213891702703734798628821285e2+/-0.364e-30 y[1] (numeric) -0.16372205213891702703734798647990127e2+/-0.1e-29 absolute error 0.19168842e-25+/-0.136e-29 relative error 0.117081613317034227968638177736680833e-24+/-0.83e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.492e1+/-0.450e-31 y[1] (closed_form) -0.16355841192052399116705403211345224e2+/-0.388e-30 y[1] (numeric) -0.16355841192052399116705403233241532e2+/-0.1e-29 absolute error 0.21896308e-25+/-0.138e-29 relative error 0.133874545141950965702750395158111424e-24+/-0.843e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.491e1+/-0.500e-31 y[1] (closed_form) -0.1633949352605565056888656175887688e2+/-0.412e-30 y[1] (numeric) -0.16339493526055650568886561783497929e2+/-0.1e-29 absolute error 0.24621049e-25+/-0.141e-29 relative error 0.15068428504676861143822472820402176e-24+/-0.862e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.550e-31 y[1] (closed_form) -0.16323162199553789701224181313345015e2+/-0.437e-30 y[1] (numeric) -0.16323162199553789701224181340688084e2+/-0.1e-29 absolute error 0.27343069e-25+/-0.143e-29 relative error 0.167510857674056872990635022775625933e-24+/-0.876e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.489e1+/-0.600e-31 y[1] (closed_form) -0.16306847196215488650913473692500228e2+/-0.46e-30 y[1] (numeric) -0.16306847196215488650913473722562595e2+/-0.1e-29 absolute error 0.30062367e-25+/-0.146e-29 relative error 0.184354257069244555019254181179970082e-24+/-0.895e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.488e1+/-0.650e-31 y[1] (closed_form) -0.16290548499725742720069731741092846e2+/-0.485e-30 y[1] (numeric) -0.16290548499725742720069731773871794e2+/-0.1e-29 absolute error 0.32778948e-25+/-0.148e-29 relative error 0.201214514051211016332947652170678472e-24+/-0.908e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.487e1+/-0.700e-31 y[1] (closed_form) -0.16274266093785854060722271862395624e2+/-0.508e-30 y[1] (numeric) -0.16274266093785854060722271897888437e2+/-0.1e-29 absolute error 0.35492813e-25+/-0.15e-29 relative error 0.218091634949686194925437105954777105e-24+/-0.921e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.486e1+/-0.750e-31 y[1] (closed_form) -0.16257999962113415376115227822654206e2+/-0.529e-30 y[1] (numeric) -0.16257999962113415376115227860858173e2+/-0.1e-29 absolute error 0.38203967e-25+/-0.152e-29 relative error 0.234985650689064075546183609586353282e-24+/-0.934e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.485e1+/-0.800e-31 y[1] (closed_form) -0.1624175008844229363829889712790094e2+/-0.554e-30 y[1] (numeric) -0.1624175008844229363829889716881335e2+/-0.1e-29 absolute error 0.4091241e-25+/-0.155e-29 relative error 0.251896561498711058934731787425396927e-24+/-0.954e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.484e1+/-0.850e-31 y[1] (closed_form) -0.16225516456522613821995357563121531e2+/-0.578e-30 y[1] (numeric) -0.16225516456522613821995357606739677e2+/-0.1e-29 absolute error 0.43618146e-25+/-0.157e-29 relative error 0.268824392227377286568170071658576225e-24+/-0.967e-29% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.483e1+/-0.900e-31 y[1] (closed_form) -0.16209299050120742654722087758035585e2+/-0.602e-30 y[1] (numeric) -0.16209299050120742654722087804356761e2+/-0.1e-29 absolute error 0.46321176e-25+/-0.16e-29 relative error 0.285769149281350045440619913696402096e-24+/-0.987e-29% 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.482e1+/-0.950e-31 y[1] (closed_form) -0.16193097853019272383157341901757436e2+/-0.625e-30 y[1] (numeric) -0.16193097853019272383157341950778941e2+/-0.1e-29 absolute error 0.49021505e-25+/-0.162e-29 relative error 0.30273086376032570343043291266980917e-24+/-0.1e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.481e1+/-0.1e-30 y[1] (closed_form) -0.16176912849017004555731044970359179e2+/-0.649e-30 y[1] (numeric) -0.16176912849017004555731045022078316e2+/-0.1e-29 absolute error 0.51719137e-25+/-0.164e-29 relative error 0.319709560672713461618884001236120607e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.1e-30 y[1] (closed_form) -0.16160744021928933821424991056879677e2+/-0.648e-30 y[1] (numeric) -0.16160744021928933821424991111293746e2+/-0.1e-29 absolute error 0.54414069e-25+/-0.164e-29 relative error 0.336705221777933829921658580661296858e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.479e1+/-0.1e-30 y[1] (closed_form) -0.16144591355586231744766143602627777e2+/-0.644e-30 y[1] (numeric) -0.16144591355586231744766143659734086e2+/-0.1e-29 absolute error 0.57106309e-25+/-0.164e-29 relative error 0.353717896862347640397577291978438182e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.478e1+/-0.1e-30 y[1] (closed_form) -0.16128454833836230636996852521731217e2+/-0.643e-30 y[1] (numeric) -0.16128454833836230636996852581527077e2+/-0.1e-29 absolute error 0.5979586e-25+/-0.164e-29 relative error 0.370747604876277331495643419081166817e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.477e1+/-0.1e-30 y[1] (closed_form) -0.16112334440542407403405819387800941e2+/-0.643e-30 y[1] (numeric) -0.16112334440542407403405819450283662e2+/-0.1e-29 absolute error 0.62482721e-25+/-0.164e-29 relative error 0.387794339985761708096275679918729594e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.476e1+/-0.1e-30 y[1] (closed_form) -0.16096230159584367406803658012329955e2+/-0.642e-30 y[1] (numeric) -0.16096230159584367406803658077496853e2+/-0.1e-29 absolute error 0.65166898e-25+/-0.164e-29 relative error 0.404858139787451463636160230737096246e-24+/-0.101e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; Iterations 250 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 1 Hours 57 Minutes 10 Seconds Optimized Time Remaining 1 Hours 57 Minutes 10 Seconds Expected Total Time 2 Hours 0 Minutes 11 Seconds Time to Timeout 0.0 Seconds Percent Done 0.251e1+/-0.105e-29%