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/mult2postode.ode################# diff ( y , x , 1 ) = sin ( x ) * cos ( 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(0.1) x_end=c(1.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.00000000001) # 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 # 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=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(2.0) - expt(cos(c(x)),c(2))/c(2.0)) 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) 0.150498335553968959221895087081295774e1+/-0.171e-32 y[1] (numeric) 0.150498335553968959221895087081295774e1+/-0.321e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.492e-32 relative error 0.0e0+/-0.326913914488820351636930608847544023e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.150602563766734862764849425473882588e1+/-0.705e-32 y[1] (numeric) 0.150602563766734862764849432389827295e1+/-0.219e-31 absolute error 0.6915944707e-25+/-0.289e-31 relative error 0.459218258575727901336089013178094676e-23+/-0.191e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.150716550628699259876845618825915521e1+/-0.134e-31 y[1] (numeric) 0.150716550628699259876845633308526815e1+/-0.331e-31 absolute error 0.14482611294e-24+/-0.465e-31 relative error 0.960917114516435794878019106199923747e-23+/-0.308e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.150840250546637169361044558838748374e1+/-0.208e-31 y[1] (numeric) 0.150840250546637169361044581535721566e1+/-0.492e-31 absolute error 0.22696973192e-24+/-0.700e-31 relative error 0.150470269770484719162620594911191915e-22+/-0.464e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.15097361404223072630188524866008807e1+/-0.292e-31 y[1] (numeric) 0.150973614042230726301885280215832837e1+/-0.695e-31 absolute error 0.31555744767e-24+/-0.987e-31 relative error 0.209014965742114023903189209533323382e-22+/-0.653e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.151116587771859849508942244310798749e1+/-0.388e-31 y[1] (numeric) 0.151116587771859849508942285366181378e1+/-0.821e-31 absolute error 0.41055382629e-24+/-0.12e-30 relative error 0.271680185705232826274706090034751419e-22+/-0.794e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.151269114547938978310617318155847703e1+/-0.489e-31 y[1] (numeric) 0.151269114547938978310617369347934752e1+/-0.1e-30 absolute error 0.51192087049e-24+/-0.148e-30 relative error 0.338417311438526466994100462257976119e-22+/-0.978e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.151431133361791344287433898499335568e1+/-0.595e-31 y[1] (numeric) 0.151431133361791344287433960461139047e1+/-0.1e-30 absolute error 0.61961803479e-24+/-0.159e-30 relative error 0.409174798493808400709682173017870274e-22+/-0.104e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.151602579408051628541227190796881482e1+/-0.72e-31 y[1] (numeric) 0.151602579408051628541227264157105661e1+/-0.1e-30 absolute error 0.73360224179e-24+/-0.172e-30 relative error 0.483898258627543054651907443874739417e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.151783384110587243762686729806886052e1+/-0.86e-31 y[1] (numeric) 0.151783384110587243762686815189675981e1+/-0.1e-30 absolute error 0.85382789929e-24+/-0.186e-30 relative error 0.562530545944286611713057665825339762e-22+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.151973475149927872930036831698704955e1+/-0.98e-31 y[1] (numeric) 0.151973475149927872930036929723396825e1+/-0.1e-30 absolute error 0.9802469187e-24+/-0.198e-30 relative error 0.645011846792966639709039440875928101e-22+/-0.13e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.152172776492192293189097780258358314e1+/-0.112e-30 y[1] (numeric) 0.152172776492192293189097891539231715e1+/-0.1e-30 absolute error 0.111280873401e-23+/-0.212e-30 relative error 0.731279772678062544661617158014684905e-22+/-0.139e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.152381208419500914570861565275040744e1+/-0.13e-30 y[1] (numeric) 0.152381208419500914570861690421072974e1+/-0.1e-30 absolute error 0.12514603223e-23+/-0.23e-30 relative error 0.821269456568927527206769688080436978e-22+/-0.15e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.152598687561861868936590252412489831e1+/-0.146e-30 y[1] (numeric) 0.152598687561861868936590392027112308e1+/-0.1e-30 absolute error 0.139614622477e-23+/-0.246e-30 relative error 0.914913651668214587967565064489235549e-22+/-0.161e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.152825126930517895140001129221031457e1+/-0.162e-30 y[1] (numeric) 0.15282512693051789514000128390188836e1+/-0.1e-30 absolute error 0.154680856903e-23+/-0.262e-30 relative error 0.101214283285578957474566523054549413e-21+/-0.171e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.153060435952740682097092960434904254e1+/-0.182e-30 y[1] (numeric) 0.153060435952740682097093130773613465e1+/-0.1e-30 absolute error 0.170338709211e-23+/-0.282e-30 relative error 0.111288530018034314361089998171722566e-21+/-0.184e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) * cos ( x ) ; Iterations 159 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 14 Minutes 1 Seconds Optimized Time Remaining 14 Minutes 1 Seconds Expected Total Time 17 Minutes 3 Seconds Time to Timeout 0.0 Seconds Percent Done 0.177777777777777777777777777777777777e2+/-0.901e-29%