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_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(-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(neg(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] -0.5e1+/-0.50e-32 y[1] (closed_form) -0.14183109273161313223331958575677878e0+/-0.337e-30 y[1] (numeric) -0.14183109273161313223331958575677878e0+/-0.337e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.674e-30 relative error 0.0e0+/-0.475213147568008717223402782885303179e-27% 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 Radius of convergence (three term test) for eq 1 0.27201055544468489935503758234188935e0+/-0.899e-29 Order of pole (three term test) 0.329195357645382262307167959948582453e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.499e1+/-0.100e-31 y[1] (closed_form) -0.13702945977271362198154579884847385e0+/-0.505e-30 y[1] (numeric) -0.13702945977271362198154571883288382e0+/-0.337e-30 absolute error 0.8001559003e-25+/-0.842e-30 relative error 0.583929836421447603582027295405221363e-22+/-0.614e-27% 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 0.26356599922604283287503756953536381e0+/-0.911e-29 Order of pole (three term test) 0.329248917086175930412621170319945998e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.498e1+/-0.150e-31 y[1] (closed_form) -0.13221412398202767620812666034038946e0+/-0.685e-30 y[1] (numeric) -0.13221412398202767620812650008042824e0+/-0.337e-30 absolute error 0.16025996122e-24+/-0.102e-29 relative error 0.121212436609105916387123460852426904e-21+/-0.771e-27% 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 0.2550160201218768164411677351084013e0+/-0.913e-29 Order of pole (three term test) 0.329300777016786600604018596898521716e2+/-0.13e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.497e1+/-0.200e-31 y[1] (closed_form) -0.1273855668891215970579767570062721e0+/-0.85e-30 y[1] (numeric) -0.12738556688912159705797651628118257e0+/-0.337e-30 absolute error 0.24072508953e-24+/-0.118e-29 relative error 0.188973598350848418984149358143920357e-21+/-0.926e-27% 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 0.24636403800983031505637766691161102e0+/-0.913e-29 Order of pole (three term test) 0.329350916693933485135285215424511498e2+/-0.129e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.496e1+/-0.250e-31 y[1] (closed_form) -0.12254427134568089097422401146766148e0+/-0.102e-29 y[1] (numeric) -0.12254427134568089097422369006473345e0+/-0.337e-30 absolute error 0.32140292803e-24+/-0.135e-29 relative error 0.262274951330336455662689076787196689e-21+/-0.11e-26% 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 0.2376135135673899239462496768000106e0+/-0.913e-29 Order of pole (three term test) 0.329399316062414245367580160697031576e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.495e1+/-0.300e-31 y[1] (closed_form) -0.11769072147722550252262870581736925e0+/-0.118e-29 y[1] (numeric) -0.11769072147722550252262830353196003e0+/-0.337e-30 absolute error 0.40228540922e-24+/-0.151e-29 relative error 0.34181573888800300780746449483071831e-21+/-0.128e-26% 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 0.22876794688766051567216964118495812e0+/-0.913e-29 Order of pole (three term test) 0.329445955763126805305619753077826729e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.494e1+/-0.350e-31 y[1] (closed_form) -0.11282540263469766583371540201985854e0+/-0.135e-29 y[1] (numeric) -0.11282540263469766583371491865541379e0+/-0.337e-30 absolute error 0.48336444475e-24+/-0.168e-29 relative error 0.428418098639560201102165772860801447e-21+/-0.148e-26% 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 0.21983087607937466546813340073575129e0+/-0.923e-29 Order of pole (three term test) 0.329490817140812734310156187216742505e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.493e1+/-0.400e-31 y[1] (closed_form) -0.10794880134592721483713022324288298e0+/-0.15e-29 y[1] (numeric) -0.10794880134592721483712965861095575e0+/-0.337e-30 absolute error 0.56463192723e-24+/-0.183e-29 relative error 0.523055300466569672263439523418723175e-21+/-0.169e-26% 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 0.21080587585169633236476188609139559e0+/-0.913e-29 Order of pole (three term test) 0.329533882251519101736770617773039022e2+/-0.133e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.492e1+/-0.450e-31 y[1] (closed_form) -0.1030614052669792057167546204058872e0+/-0.165e-29 y[1] (numeric) -0.10306140526697920571675397432615738e0+/-0.337e-30 absolute error 0.64607972982e-24+/-0.198e-29 relative error 0.626888143186422710410727710087620291e-21+/-0.192e-26% 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 0.20169655608438485575904269997434604e0+/-0.911e-29 Order of pole (three term test) 0.329575133869775818858615193547559118e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.491e1+/-0.500e-31 y[1] (closed_form) -0.9816370313338871678378659975969752e-1+/-0.18e-29 y[1] (numeric) -0.98163703133388716783785872059990222e-1+/-0.337e-30 absolute error 0.727699707298e-24+/-0.213e-29 relative error 0.74131240373967238918504096630451279e-21+/-0.216e-26% 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 0.19250656038389118276694440401951728e0+/-0.907e-29 Order of pole (three term test) 0.329614555495485597232031559560174512e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.550e-31 y[1] (closed_form) -0.93256184711287702247164572060959855e-1+/-0.194e-29 y[1] (numeric) -0.93256184711287702247163762577261548e-1+/-0.337e-30 absolute error 0.809483698307e-24+/-0.227e-29 relative error 0.868021462397464263711284604402004816e-21+/-0.243e-26% 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 0.18323956462596386861616885421042142e0+/-0.902e-29 Order of pole (three term test) 0.329652131360523767613564466347920045e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.489e1+/-0.600e-31 y[1] (closed_form) -0.8833934074842878715522929485692e-1+/-0.208e-29 y[1] (numeric) -0.88339340748428787155228403433395397e-1+/-0.337e-30 absolute error 0.891423524603e-24+/-0.241e-29 relative error 0.100909008042247015858436196190638965e-20+/-0.272e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.17389927548534778824722357901301091e0+/-0.904e-29 Order of pole (three term test) 0.329687846435045319588800093314671959e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.488e1+/-0.650e-31 y[1] (closed_form) -0.83413662925110901088316373515811485e-1+/-0.224e-29 y[1] (numeric) -0.83413662925110901088315400004820081e-1+/-0.337e-30 absolute error 0.973510991404e-24+/-0.257e-29 relative error 0.116708816909050237169987820108901843e-20+/-0.308e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.16448942895316366003441797697629671e0+/-0.911e-29 Order of pole (three term test) 0.329721686433496639181270291284290929e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.487e1+/-0.700e-31 y[1] (closed_form) -0.7847964380501165799801489281401789e-1+/-0.238e-29 y[1] (numeric) -0.78479643805011657998013837076126806e-1+/-0.337e-30 absolute error 0.1055737891084e-23+/-0.271e-29 relative error 0.134523787302992483580050390501222829e-20+/-0.345e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.15501378884256141004928549267515608e0+/-0.897e-29 Order of pole (three term test) 0.32975363782032953982653461527317555e2+/-0.132e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.486e1+/-0.750e-31 y[1] (closed_form) -0.7353777678593139891413537299270238e-1+/-0.252e-29 y[1] (numeric) -0.73537776785931398914134234896701731e-1+/-0.337e-30 absolute error 0.1138096000649e-23+/-0.285e-29 relative error 0.15476344953451605072419659978595426e-20+/-0.387e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.14547614528324509559637025132144413e0+/-0.903e-29 Order of pole (three term test) 0.329783687815415301175236578509422248e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.485e1+/-0.800e-31 y[1] (closed_form) -0.6858855605045382307406985923264215e-1+/-0.265e-29 y[1] (numeric) -0.68588556050453823074068638655558399e-1+/-0.337e-30 absolute error 0.1220577083751e-23+/-0.298e-29 relative error 0.177956375529052113506434945537887218e-20+/-0.434e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.13588031320547155797923045523479034e0+/-0.883e-29 Order of pole (three term test) 0.329811824399156550181799126754883778e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.484e1+/-0.850e-31 y[1] (closed_form) -0.6363247651652814137031520486634067e-1+/-0.276e-29 y[1] (numeric) -0.63632476516528141370313901693447427e-1+/-0.337e-30 absolute error 0.1303172893243e-23+/-0.309e-29 relative error 0.204796821463409320280997825339764857e-20+/-0.485e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.12623013081412918482247035302925394e0+/-0.884e-29 Order of pole (three term test) 0.329838036317294939794481360489732052e2+/-0.13e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.483e1+/-0.900e-31 y[1] (closed_form) -0.58670033787977693859633394476911975e-1+/-0.289e-29 y[1] (numeric) -0.58670033787977693859632008601742521e-1+/-0.337e-30 absolute error 0.1385875169454e-23+/-0.322e-29 relative error 0.236215164706106765956796439614056316e-20+/-0.548e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.1165294580535071300995267385243391e0+/-0.865e-29 Order of pole (three term test) 0.329862313085412702239422010117868493e2+/-0.131e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.482e1+/-0.950e-31 y[1] (closed_form) -0.53701724104939980430855309584885035e-1+/-0.302e-29 y[1] (numeric) -0.53701724104939980430853840909243522e-1+/-0.337e-30 absolute error 0.1468675641513e-23+/-0.335e-29 relative error 0.273487614409366356577300794926546103e-20+/-0.623e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.10678217506336906370872805898379244e0+/-0.86e-29 Order of pole (three term test) 0.329884644993126276337375956991729589e2+/-0.13e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.481e1+/-0.1e-30 y[1] (closed_form) -0.48728044294243060586961319769196727e-1+/-0.312e-29 y[1] (numeric) -0.48728044294243060586959768203166553e-1+/-0.337e-30 absolute error 0.1551566030174e-23+/-0.345e-29 relative error 0.318413359831334056245944480948942131e-20+/-0.708e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.96992180626949000512386843049282813e-1+/-0.84e-29 Order of pole (three term test) 0.329905023107970331458131391014293631e2+/-0.13e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.1e-30 y[1] (closed_form) -0.43749491719723284660107628824744076e-1+/-0.31e-29 y[1] (numeric) -0.43749491719723284660105994286697492e-1+/-0.337e-30 absolute error 0.1634538046584e-23+/-0.343e-29 relative error 0.37361303693663539683528332635487714e-20+/-0.784e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.87163390611489989814196774294525197e-1+/-0.799e-29 Order of pole (three term test) 0.329923439278970634554812133530411209e2+/-0.129e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.479e1+/-0.1e-30 y[1] (closed_form) -0.38766564232489324645075120673796692e-1+/-0.307e-29 y[1] (numeric) -0.38766564232489324645073403090404008e-1+/-0.337e-30 absolute error 0.1717583392684e-23+/-0.34e-29 relative error 0.443057935798327644606464327721729214e-20+/-0.877e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.77299736401949429006603212664887015e-1+/-0.774e-29 Order of pole (three term test) 0.329939886139904331178888996534653138e2+/-0.129e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.478e1+/-0.1e-30 y[1] (closed_form) -0.3377976012113747820661085732977704e-1+/-0.303e-29 y[1] (numeric) -0.33779760121137478206609056636012283e-1+/-0.337e-30 absolute error 0.1800693764757e-23+/-0.336e-29 relative error 0.533068843088150556362327595925358931e-20+/-0.994e-26% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.67405163328497498379037513752471695e-1+/-0.737e-29 Order of pole (three term test) 0.329954357112246336406964007587901876e2+/-0.129e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.477e1+/-0.1e-30 y[1] (closed_form) -0.28789578061923224288774386393630573e-1+/-0.299e-29 y[1] (numeric) -0.28789578061923224288772502532778533e-1+/-0.337e-30 absolute error 0.188386085204e-23+/-0.332e-29 relative error 0.654355144763852377630354175541100785e-20+/-0.115e-25% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.57483629088437696746683869238460726e-1+/-0.7e-29 Order of pole (three term test) 0.329966846407800657162241475314198557e2+/-0.128e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.476e1+/-0.1e-30 y[1] (closed_form) -0.23796517068894013129204358205263e-1+/-0.297e-29 y[1] (numeric) -0.23796517068894013129202391128925987e-1+/-0.337e-30 absolute error 0.1967076337013e-23+/-0.33e-29 relative error 0.82662363207105395462647815506857666e-20+/-0.138e-25% Desired digits 8 Estimated correct digits 12 Correct digits 21 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 0.47539102163180688644748181372858542e-1+/-0.669e-29 Order of pole (three term test) 0.329977349031015593436841136887056101e2+/-0.127e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) / 2.0 ; Iterations 244 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 1 Hours 59 Minutes 26 Seconds Optimized Time Remaining 1 Hours 59 Minutes 26 Seconds Expected Total Time 2 Hours 2 Minutes 26 Seconds Time to Timeout 0 Seconds Percent Done 0.245e1+/-0.105e-29%