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_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * 2.0 ; ! #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=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return($glob__m1 *cos(c(x)) * 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) -0.19900083305560515321911239756077405e1+/-0.17e-32 y[1] (numeric) -0.19900083305560515321911239756077405e1+/-0.368e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.538e-32 relative error 0.0e0+/-0.270350627049722510257115693252830509e-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) -0.19879121959133937007156792228396961e1+/-0.279e-32 y[1] (numeric) -0.19879121959133937007156791880698693e1+/-0.404e-31 absolute error 0.347698268e-25+/-0.431e-31 relative error 0.174906250243231559234955071498886724e-23+/-0.216e-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) -0.19856172717077325044961963357152677e1+/-0.407e-32 y[1] (numeric) -0.1985617271707732504496196262862272e1+/-0.729e-31 absolute error 0.728529957e-25+/-0.769e-31 relative error 0.366903515284910339712164979458720479e-23+/-0.387e-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) -0.19831237874295760791890243423036291e1+/-0.559e-32 y[1] (numeric) -0.19831237874295760791890242280579306e1+/-0.1e-30 absolute error 0.1142456985e-24+/-0.105e-30 relative error 0.576089597755667326547245067415297256e-23+/-0.529e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) -0.19804319924252743437978964540228005e1+/-0.729e-32 y[1] (numeric) -0.19804319924252743437978962950790046e1+/-0.1e-30 absolute error 0.1589437959e-24+/-0.107e-30 relative error 0.802571340535427484551965358055818159e-23+/-0.54e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) -0.19775421558720845734699619973086779e1+/-0.923e-32 y[1] (numeric) -0.19775421558720845734699617903658601e1+/-0.1e-30 absolute error 0.2069428178e-24+/-0.109e-30 relative error 0.104646476023536106410778338026042286e-22+/-0.551e-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) -0.19744545667512538980819050480366753e1+/-0.113e-31 y[1] (numeric) -0.19744545667512538980819047897987106e1+/-0.1e-30 absolute error 0.2582379647e-24+/-0.111e-30 relative error 0.130789519824151711275105344944825495e-22+/-0.562e-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) -0.19711695338191214183438599804250062e1+/-0.136e-31 y[1] (numeric) -0.1971169533819121418343859667600899e1+/-0.1e-30 absolute error 0.3128241072e-24+/-0.113e-30 relative error 0.158699747450898551290264692438838162e-22+/-0.573e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) -0.19676873855762428291854320492230654e1+/-0.161e-31 y[1] (numeric) -0.1967687385576242829185431678527279e1+/-0.1e-30 absolute error 0.3706957864e-24+/-0.116e-30 relative error 0.188391605860420093125821765065394906e-22+/-0.589e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) -0.19640084702345406379357550083798275e1+/-0.189e-31 y[1] (numeric) -0.1964008470234540637935754576532612e1+/-0.1e-30 absolute error 0.4318472155e-24+/-0.118e-30 relative error 0.219880525998153705092088358323540353e-22+/-0.6e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) -0.19601331556824832622483930334963377e1+/-0.212e-31 y[1] (numeric) -0.19601331556824832622483925372240586e1+/-0.1e-30 absolute error 0.4962722791e-24+/-0.121e-30 relative error 0.253182942016613600817774960050244673e-22+/-0.617e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) -0.19560618294482964898322771361986926e1+/-0.244e-31 y[1] (numeric) -0.19560618294482964898322765722341576e1+/-0.1e-30 absolute error 0.563964535e-24+/-0.124e-30 relative error 0.288316313170461039063759973934621391e-22+/-0.633e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) -0.19517948986612109788120459620893927e1+/-0.28e-31 y[1] (numeric) -0.19517948986612109788120453271721787e1+/-0.1e-30 absolute error 0.634917214e-24+/-0.128e-30 relative error 0.325299146152860080468119243230012247e-22+/-0.655e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) -0.19473327900107496739354612961431965e1+/-0.314e-31 y[1] (numeric) -0.19473327900107496739354605870199757e1+/-0.1e-30 absolute error 0.7091232208e-24+/-0.131e-30 relative error 0.364151019506062697828368627111670719e-22+/-0.672e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) -0.1942675949704059209852350493926758e1+/-0.35e-31 y[1] (numeric) -0.19426759497040592098523497073516231e1+/-0.1e-30 absolute error 0.7865751349e-24+/-0.135e-30 relative error 0.404892609608835811661014620016633491e-22+/-0.694e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) -0.19378248434212895682891908989883783e1+/-0.39e-31 y[1] (numeric) -0.1937824843421289568289190031723167e1+/-0.1e-30 absolute error 0.8672652113e-24+/-0.139e-30 relative error 0.447545718202691891894953917587398931e-22+/-0.717e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) -0.19327799562690264511164352929001298e1+/-0.434e-31 y[1] (numeric) -0.19327799562690264511164343417147488e1+/-0.1e-30 absolute error 0.951185381e-24+/-0.143e-30 relative error 0.492133301524989078691851673588445172e-22+/-0.739e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) -0.1927541792731781026032465418984406e1+/-0.476e-31 y[1] (numeric) -0.19275417927317810260324643806571542e1+/-0.1e-30 absolute error 0.10383272518e-23+/-0.147e-30 relative error 0.538679501381106533111515015324608866e-22+/-0.762e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.905e-31 y[1] (closed_form) -0.1922110876621541895849180107192954e1+/-0.524e-31 y[1] (numeric) -0.19221108766215418958491789785108444e1+/-0.1e-30 absolute error 0.11286821096e-23+/-0.152e-30 relative error 0.587209678342730829676587212156262489e-22+/-0.79e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.955e-31 y[1] (closed_form) -0.19164877510253943361402495558637242e1+/-0.572e-31 y[1] (numeric) -0.19164877510253943361402483336228049e1+/-0.1e-30 absolute error 0.12222409193e-23+/-0.157e-30 relative error 0.637750446693987114756706099671530975e-22+/-0.819e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.1e-30 y[1] (closed_form) -0.19106729782512120392846204551360997e1+/-0.618e-31 y[1] (numeric) -0.19106729782512120392846191361417748e1+/-0.1e-30 absolute error 0.13189943249e-23+/-0.161e-30 relative error 0.690329711004360509420378635823986993e-22+/-0.842e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.1e-30 y[1] (closed_form) -0.19046671397714267956856108724044154e1+/-0.638e-31 y[1] (numeric) -0.19046671397714267956856094534717642e1+/-0.1e-30 absolute error 0.14189326512e-23+/-0.163e-30 relative error 0.744976705677970436743289051293667315e-22+/-0.855e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.1e-30 y[1] (closed_form) -0.18984708361648817351506145475321834e1+/-0.66e-31 y[1] (numeric) -0.18984708361648817351506130254862789e1+/-0.1e-30 absolute error 0.15220459045e-23+/-0.166e-30 relative error 0.801722036233487170385660203269345513e-22+/-0.874e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.1e-30 y[1] (closed_form) -0.18920846870567739430588211567324105e1+/-0.68e-31 y[1] (numeric) -0.18920846870567739430588195284086369e1+/-0.1e-30 absolute error 0.16283237736e-23+/-0.168e-30 relative error 0.860597723103469350086216566088478317e-22+/-0.887e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.1e-30 y[1] (closed_form) -0.18855093310566924570052881200531542e1+/-0.702e-31 y[1] (numeric) -0.18855093310566924570052863822975237e1+/-0.1e-30 absolute error 0.17377556305e-23+/-0.17e-30 relative error 0.921637247759528653298889904603168345e-22+/-0.901e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.35e0+/-0.1e-30 y[1] (closed_form) -0.18787454256947578400700647146073311e1+/-0.724e-31 y[1] (numeric) -0.18787454256947578400700628642767986e1+/-0.1e-30 absolute error 0.18503305325e-23+/-0.172e-30 relative error 0.984875602193815031582642858229011128e-22+/-0.915e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) * 2.0 ; Iterations 253 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 54 Minutes 52 Seconds Optimized Time Remaining 54 Minutes 52 Seconds Expected Total Time 57 Minutes 52 Seconds Time to Timeout 0 Seconds Percent Done 0.518367346938775510204081632653061224e1+/-0.204e-29%