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/mult_div_sinh_cosh_tanhpostode.ode################# diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #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((sinh(c(0.1)) * cosh(c(0.05)) / tanh(c(0.02))) * 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) 0.50152678226329824415335035708359984e0+/-0.179e-31 y[1] (numeric) 0.50152678226329824415335035708359984e0+/-0.183e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.362e-31 relative error 0.0e0+/-0.721795949493186574952329501427157967e-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] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.551679460489628068568685392791959824e0+/-0.445e-31 y[1] (numeric) 0.55167946048962806856868539279195982e0+/-0.469e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.4e-35+/-0.914e-31 relative error 0.725058713704858437922982924587751324e-33+/-0.165e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.601832138715957892984020428500319808e0+/-0.711e-31 y[1] (numeric) 0.6018321387159578929840204285003198e0+/-0.757e-31 absolute error 0.8e-35+/-0.146e-30 relative error 0.132927430845890713619213536174421076e-32+/-0.242e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.651984816942287717399355464208679792e0+/-0.977e-31 y[1] (numeric) 0.65198481694228771739935546420867978e0+/-0.104e-30 absolute error 0.12e-34+/-0.201e-30 relative error 0.184053365786617911165064896241506105e-32+/-0.308e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.702137495168617541814690499917039776e0+/-0.124e-30 y[1] (numeric) 0.70213749516861754181469049991703976e0+/-0.124e-30 absolute error 0.16e-34+/-0.248e-30 relative error 0.227875595735812651918651776299007559e-32+/-0.353e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.75229017339494736623002553562539976e0+/-0.15e-30 y[1] (numeric) 0.75229017339494736623002553562539974e0+/-0.144e-30 absolute error 0.2e-34+/-0.294e-30 relative error 0.265854861691781427238427072348842152e-32+/-0.39e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.802442851621277190645360571333759744e0+/-0.177e-30 y[1] (numeric) 0.80244285162127719064536057133375972e0+/-0.164e-30 absolute error 0.24e-34+/-0.341e-30 relative error 0.299086719403254105643230456392447421e-32+/-0.424e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.852595529847607015060695607042119728e0+/-0.204e-30 y[1] (numeric) 0.8525955298476070150606956070421197e0+/-0.184e-30 absolute error 0.28e-34+/-0.388e-30 relative error 0.328408946795729998353351089372099129e-32+/-0.455e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.902748208073936839476030642750479712e0+/-0.23e-30 y[1] (numeric) 0.90274820807393683947603064275047968e0+/-0.204e-30 absolute error 0.32e-34+/-0.434e-30 relative error 0.354473148922375236317902763131789536e-32+/-0.48e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.952900886300266663891365678458839696e0+/-0.257e-30 y[1] (numeric) 0.95290088630026666389136567845883966e0+/-0.224e-30 absolute error 0.36e-34+/-0.481e-30 relative error 0.377793750825163080812501629127302006e-32+/-0.504e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.100305356452659648830670071416719968e1+/-0.284e-30 y[1] (numeric) 0.100305356452659648830670071416719964e1+/-0.244e-30 absolute error 0.4e-34+/-0.528e-30 relative error 0.398782292537672140857640608523263228e-32+/-0.526e-28% Desired digits 8 Estimated correct digits 13 Correct digits 33 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] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.105320624275292631272203574987555966e1+/-0.31e-30 y[1] (numeric) 0.105320624275292631272203574987555954e1+/-0.264e-30 absolute error 0.12e-33+/-0.574e-30 relative error 0.11393779786790632595932588814950378e-31+/-0.545e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 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] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.110335892097925613713737078558391964e1+/-0.337e-30 y[1] (numeric) 0.110335892097925613713737078558391944e1+/-0.284e-30 absolute error 0.2e-33+/-0.621e-30 relative error 0.181264678426214609480745731146937832e-31+/-0.562e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 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] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.115351159920558596155270582129227963e1+/-0.363e-30 y[1] (numeric) 0.115351159920558596155270582129227934e1+/-0.304e-30 absolute error 0.29e-33+/-0.667e-30 relative error 0.251406227904184610540686470590752905e-31+/-0.578e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 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] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.120366427743191578596804085700063961e1+/-0.39e-30 y[1] (numeric) 0.120366427743191578596804085700063924e1+/-0.324e-30 absolute error 0.37e-33+/-0.714e-30 relative error 0.30739468383112227524443130240334874e-31+/-0.593e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 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] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.12538169556582456103833758927089996e1+/-0.417e-30 y[1] (numeric) 0.125381695565824561038337589270899914e1+/-0.344e-30 absolute error 0.46e-33+/-0.761e-30 relative error 0.36687970913465836958902935984140217e-31+/-0.606e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 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 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ; 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%