Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/add_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + 1.0 ; ! #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=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(x)) + 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-30 y[1] (closed_form) -0.328366218546322626446663917151357e1+/-0.679e-28 y[1] (numeric) -0.328366218546322626446663917151357e1+/-0.68e-28 absolute error 0.0e0+/-0.1359e-27 relative error 0.0e0+/-0.4138671773291094051626642937114204e-26% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.5e-30 y[1] (closed_form) -0.308651236942257540449432914412189e1+/-0.608e-28 y[1] (numeric) -0.30865123694225754044903065875907e1+/-0.69e-28 absolute error 0.402255653119e-20+/-0.129e-27 relative error 0.1303269208003381400757628753586904e-18+/-0.417e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.5e-30 y[1] (closed_form) -0.288749898343944656932021525764953e1+/-0.547e-28 y[1] (numeric) -0.288749898343944656931208228649104e1+/-0.698e-28 absolute error 0.813297115849e-20+/-0.124e-27 relative error 0.2816614379826518703811869235577849e-18+/-0.429e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.47e1+/-0.5e-30 y[1] (closed_form) -0.26876113365371092628494917036729e1+/-0.489e-28 y[1] (numeric) -0.268761133653710926283720152969545e1+/-0.708e-28 absolute error 0.1229017397745e-19+/-0.119e-27 relative error 0.4572898547632057551343738767109051e-18+/-0.442e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.46e1+/-0.5e-30 y[1] (closed_form) -0.248784747306494548257009217877086e1+/-0.443e-28 y[1] (numeric) -0.248784747306494548255363955117899e1+/-0.718e-28 absolute error 0.1645262759187e-19+/-0.116e-27 relative error 0.6613197862809856701158106570121025e-18+/-0.466e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.45e1+/-0.5e-30 y[1] (closed_form) -0.228920420056922029401951817520621e1+/-0.394e-28 y[1] (numeric) -0.228920420056922029399893943306516e1+/-0.728e-28 absolute error 0.2057874214105e-19+/-0.112e-27 relative error 0.8989474218129168574160241537840876e-18+/-0.489e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.44e1+/-0.5e-30 y[1] (closed_form) -0.209266713002158031688086025778233e1+/-0.353e-28 y[1] (numeric) -0.209266713002158031685623296692996e1+/-0.738e-28 absolute error 0.2462729085237e-19+/-0.109e-27 relative error 0.1176837467319326353894601435989019e-17+/-0.52e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.43e1+/-0.5e-30 y[1] (closed_form) -0.189920082792002470309323760366394e1+/-0.317e-28 y[1] (numeric) -0.189920082792002470306467978169864e1+/-0.742e-28 absolute error 0.285578219653e-19+/-0.105e-27 relative error 0.1503675732733124584114189917752541e-17+/-0.552e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.42e1+/-0.5e-30 y[1] (closed_form) -0.170973917865930042234445511862285e1+/-0.286e-28 y[1] (numeric) -0.170973917865930042231212405571048e1+/-0.744e-28 absolute error 0.3233106291237e-19+/-0.103e-27 relative error 0.1890993861281376654870346777478052e-17+/-0.602e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.41e1+/-0.5e-30 y[1] (closed_form) -0.152517605346673108846497132034018e1+/-0.258e-28 y[1] (numeric) -0.152517605346673108842906200762296e1+/-0.744e-28 absolute error 0.3590931271722e-19+/-0.1e-27 relative error 0.235443722287653237382975863660262e-17+/-0.655e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.4e1+/-0.5e-30 y[1] (closed_form) -0.134635637913638808536083181690223e1+/-0.229e-28 y[1] (numeric) -0.13463563791363880853215749982116e1+/-0.744e-28 absolute error 0.3925681869063e-19+/-0.973e-28 relative error 0.2915782128637518831962839598348145e-17+/-0.722e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.39e1+/-0.5e-30 y[1] (closed_form) -0.117406769579985987062766951538565e1+/-0.193e-28 y[1] (numeric) -0.117406769579985987058532938172619e1+/-0.744e-28 absolute error 0.4234013365946e-19+/-0.937e-28 relative error 0.3606277032485323360633607521693352e-17+/-0.798e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.38e1+/-0.5e-30 y[1] (closed_form) -0.100903228808558330000343182564926e1+/-0.185e-28 y[1] (numeric) -0.100903228808558329995830337548956e1+/-0.744e-28 absolute error 0.451284501597e-19+/-0.929e-28 relative error 0.4472448572019563651575567237362437e-17+/-0.92e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.37e1+/-0.5e-30 y[1] (closed_form) -0.851899968289591841164329893645583e0+/-0.168e-28 y[1] (numeric) -0.851899968289591841116735985390972e0+/-0.744e-28 absolute error 0.47593908254611e-19+/-0.912e-28 relative error 0.558679540159720916134962498829275e-17+/-0.107e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.36e1+/-0.5e-30 y[1] (closed_form) -0.703241583665852994129708274734067e0+/-0.151e-28 y[1] (numeric) -0.703241583665852994079996400832169e0+/-0.744e-28 absolute error 0.49711873901898e-19+/-0.895e-28 relative error 0.7068961087704779673652166725385351e-17+/-0.127e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.35e1+/-0.5e-30 y[1] (closed_form) -0.563543312709203662301342373328234e0+/-0.127e-28 y[1] (numeric) -0.563543312709203662249881188239367e0+/-0.744e-28 absolute error 0.51461185088867e-19+/-0.871e-28 relative error 0.9131717816234952108922828264616772e-17+/-0.154e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.34e1+/-0.5e-30 y[1] (closed_form) -0.433201807420538985717798460234335e0+/-0.114e-28 y[1] (numeric) -0.433201807420538985664974096957872e0+/-0.744e-28 absolute error 0.52824363276463e-19+/-0.858e-28 relative error 0.1219393879979423388053786253098888e-16+/-0.198e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.33e1+/-0.5e-30 y[1] (closed_form) -0.312520230091135116063408948897174e0+/-0.109e-28 y[1] (numeric) -0.312520230091135116009621160858413e0+/-0.744e-28 absolute error 0.53787788038761e-19+/-0.853e-28 relative error 0.1721097799751259469709180729357869e-16+/-0.272e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.32e1+/-0.5e-30 y[1] (closed_form) -0.201705224205246915338339277716446e0+/-0.996e-29 y[1] (numeric) -0.201705224205246915283997444562407e0+/-0.744e-28 absolute error 0.54341833154039e-19+/-0.843e-28 relative error 0.2694121253832423909374979928761575e-16+/-0.417e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.31e1+/-0.5e-30 y[1] (closed_form) -0.100864849726720535507623945458561e0+/-0.896e-29 y[1] (numeric) -0.100864849726720535453142982671917e0+/-0.744e-28 absolute error 0.54480962786644e-19+/-0.833e-28 relative error 0.5401382437415282925770210702408153e-16+/-0.825e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.3e1+/-0.5e-30 y[1] (closed_form) -0.10007503399554542728427205268768e-1+/-0.807e-29 y[1] (numeric) -0.100075033995545426742234184694863e-1+/-0.744e-28 absolute error 0.542037867992817e-19+/-0.824e-28 relative error 0.5416314602670475907596041983575401e-15+/-0.823e-24% Desired digits 8 Estimated correct digits 10 Correct digits 18 h 0.5e-1+/-0.1e-100 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] -0.29e1+/-0.5e-30 y[1] (closed_form) 0.70958165149590521781106669345507e-1+/-0.728e-29 y[1] (numeric) 0.7095816514959052183461974398829565e-1+/-0.744e-28 absolute error 0.5351307464278865e-19+/-0.816e-28 relative error 0.7541496391567483738835227384335174e-16+/-0.114e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.28e1+/-0.5e-30 y[1] (closed_form) 0.142222340668658152586788117366126e0+/-0.657e-29 y[1] (numeric) 0.1422223406686581526392038450508509e0+/-0.744e-28 absolute error 0.524157276847249e-19+/-0.809e-28 relative error 0.3685477783468646584680044320677609e-16+/-0.568e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.27e1+/-0.5e-30 y[1] (closed_form) 0.20407214201706114798252728194331e0+/-0.562e-29 y[1] (numeric) 0.2040721420170611480334499921964526e0+/-0.744e-28 absolute error 0.509227102531426e-19+/-0.8e-28 relative error 0.2495328845467074213894502538643095e-16+/-0.392e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.26e1+/-0.5e-30 y[1] (closed_form) 0.256888753368947233797702151645177e0+/-0.535e-29 y[1] (numeric) 0.2568887533689472338467510917298927e0+/-0.744e-28 absolute error 0.490489400847157e-19+/-0.797e-28 relative error 0.1909345560732700652736430152412931e-16+/-0.31e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.25e1+/-0.5e-30 y[1] (closed_form) 0.301143615546933714833502790467327e0+/-0.481e-29 y[1] (numeric) 0.3011436155469337148803159297388921e0+/-0.744e-28 absolute error 0.468131392715651e-19+/-0.792e-28 relative error 0.1554512095052840237370262337073584e-16+/-0.262e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.24e1+/-0.5e-30 y[1] (closed_form) 0.337393715541245499608822227334759e0+/-0.436e-29 y[1] (numeric) 0.3373937155412454996530598745311191e0+/-0.744e-28 absolute error 0.442376471963601e-19+/-0.787e-28 relative error 0.1311158007949088882469216364700885e-16+/-0.233e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.23e1+/-0.5e-30 y[1] (closed_form) 0.366276021279824193317880571165991e0+/-0.395e-29 y[1] (numeric) 0.3662760212798241933592287684905692e0+/-0.744e-28 absolute error 0.413481973245782e-19+/-0.783e-28 relative error 0.1128880814531655722888961618066482e-16+/-0.213e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.22e1+/-0.5e-30 y[1] (closed_form) 0.388501117255345708524142612654898e0+/-0.359e-29 y[1] (numeric) 0.388501117255345708562316272739108e0+/-0.744e-28 absolute error 0.3817366008421e-19+/-0.779e-28 relative error 0.9825881674136868136837642153745906e-17+/-0.2e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.21e1+/-0.5e-30 y[1] (closed_form) 0.404846104599857451620938523719138e0+/-0.326e-29 y[1] (numeric) 0.4048461045998574516556842781211304e0+/-0.744e-28 absolute error 0.347457544019924e-19+/-0.776e-28 relative error 0.8582459855044047806161592796268941e-17+/-0.191e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.2e1+/-0.5e-30 y[1] (closed_form) 0.416146836547142386997568229500737e0+/-0.294e-29 y[1] (numeric) 0.4161468365471423870286669602791257e0+/-0.744e-28 absolute error 0.310987307783887e-19+/-0.773e-28 relative error 0.747301866726211208852449836614555e-17+/-0.185e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.19e1+/-0.5e-30 y[1] (closed_form) 0.423289566863503422278833695080287e0+/-0.261e-29 y[1] (numeric) 0.4232895668635034223061027241481928e0+/-0.744e-28 absolute error 0.272690290679058e-19+/-0.77e-28 relative error 0.644216895539481608700488774544086e-17+/-0.181e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.18e1+/-0.5e-30 y[1] (closed_form) 0.427202094693087055316674306530555e0+/-0.244e-29 y[1] (numeric) 0.427202094693087055339969220914661e0+/-0.744e-28 absolute error 0.23294914384106e-19+/-0.768e-28 relative error 0.5452902659768478926539633934037509e-17+/-0.179e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.17e1+/-0.5e-30 y[1] (closed_form) 0.428844494295524684087642857334848e0+/-0.217e-29 y[1] (numeric) 0.4288444942955246841068589521020832e0+/-0.744e-28 absolute error 0.192160947672352e-19+/-0.765e-28 relative error 0.4480900424943553822310171999432984e-17+/-0.178e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.16e1+/-0.5e-30 y[1] (closed_form) 0.429199522301288726205770462946485e0+/-0.203e-29 y[1] (numeric) 0.4291995223012887262208437873811023e0+/-0.744e-28 absolute error 0.150733244346173e-19+/-0.764e-28 relative error 0.3511962071578484705234922122839837e-17+/-0.178e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.15e1+/-0.5e-30 y[1] (closed_form) 0.429262798332297089911810148565717e0+/-0.182e-29 y[1] (numeric) 0.42926279833229708992271814514374e0+/-0.744e-28 absolute error 0.10907996578023e-19+/-0.762e-28 relative error 0.2541099909053614040521439791320308e-17+/-0.177e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.14e1+/-0.5e-30 y[1] (closed_form) 0.430032857099759061383251964796341e0+/-0.172e-29 y[1] (numeric) 0.4300328570997590613900136945728429e0+/-0.744e-28 absolute error 0.67617297765019e-20+/-0.761e-28 relative error 0.1572375148751322811173511908401842e-17+/-0.176e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.13e1+/-0.5e-30 y[1] (closed_form) 0.43250117137541259300201589070712e0+/-0.157e-29 y[1] (numeric) 0.4325011713754125930046918428644915e0+/-0.744e-28 absolute error 0.26759521573715e-20+/-0.759e-28 relative error 0.6187155861015608151748819889961208e-18+/-0.175e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.12e1+/-0.5e-30 y[1] (closed_form) 0.437642245523326422361626644376916e0+/-0.145e-29 y[1] (numeric) 0.4376422455233264223603181318369351e0+/-0.744e-28 absolute error 0.13085125399809e-20+/-0.758e-28 relative error 0.2989913687185749554216417070820557e-18+/-0.173e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.11e1+/-0.5e-30 y[1] (closed_form) 0.446403878574422612228629948215276e0+/-0.134e-29 y[1] (numeric) 0.4464038785744226122234780953538884e0+/-0.744e-28 absolute error 0.51518528613876e-20+/-0.757e-28 relative error 0.1154078875353835966678968067325415e-17+/-0.169e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.1e1+/-0.5e-30 y[1] (closed_form) 0.459697694131860282599063392557023e0+/-0.123e-29 y[1] (numeric) 0.4596976941318602825902477251362188e0+/-0.744e-28 absolute error 0.88156674208042e-20+/-0.756e-28 relative error 0.1917709732578189206055198714793409e-17+/-0.164e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.9e0+/-0.5e-30 y[1] (closed_form) 0.478390031729335543515283848592863e0+/-0.113e-29 y[1] (numeric) 0.4783900317293355435030204999986313e0+/-0.744e-28 absolute error 0.122633485942317e-19+/-0.755e-28 relative error 0.2563462401150131316963363686049466e-17+/-0.157e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.8e0+/-0.5e-30 y[1] (closed_form) 0.503293290652834579079250018357674e0+/-0.105e-29 y[1] (numeric) 0.5032932906528345790637895700666213e0+/-0.744e-28 absolute error 0.154604482910527e-19+/-0.754e-28 relative error 0.3071856624791989126980246690370868e-17+/-0.149e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.7e0+/-0.5e-30 y[1] (closed_form) 0.535157812715511573744140009808132e0+/-0.976e-30 y[1] (numeric) 0.5351578127155115737257649876602244e0+/-0.744e-28 absolute error 0.183750221479076e-19+/-0.753e-28 relative error 0.3433570754516053641900987946315458e-17+/-0.14e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.6e0+/-0.5e-30 y[1] (closed_form) 0.574664385090321702759047501044624e0+/-0.903e-30 y[1] (numeric) 0.5746643850903217027380695523383662e0+/-0.744e-28 absolute error 0.209779487062578e-19+/-0.753e-28 relative error 0.3650469604612896568213838934508167e-17+/-0.131e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.5e0+/-0.5e-30 y[1] (closed_form) 0.62241743810962728388371841739617e0+/-0.835e-30 y[1] (numeric) 0.6224174381096272838604751970118327e0+/-0.744e-28 absolute error 0.232432203843373e-19+/-0.752e-28 relative error 0.3734345948746287851525099646494042e-17+/-0.12e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.4e0+/-0.5e-30 y[1] (closed_form) 0.678939005997114917201473267948199e0+/-0.772e-30 y[1] (numeric) 0.6789390059971149171763250646118564e0+/-0.744e-28 absolute error 0.251482033363426e-19+/-0.751e-28 relative error 0.370404456279677422930845932733373e-17+/-0.11e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.3e0+/-0.5e-30 y[1] (closed_form) 0.74466351087439398035768977243195e0+/-0.713e-30 y[1] (numeric) 0.744663510874393980331015908829632e0+/-0.744e-28 absolute error 0.26673863602318e-19+/-0.751e-28 relative error 0.358200223494195224919637292229897e-17+/-0.1e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.5e-30 y[1] (closed_form) 0.819933422158758368875803483251831e0+/-0.658e-30 y[1] (numeric) 0.8199334221587583688479985259626267e0+/-0.744e-28 absolute error 0.278049572892043e-19+/-0.75e-28 relative error 0.3391123783684549840738529888321388e-17+/-0.914e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] -0.1e0+/-0.5e-30 y[1] (closed_form) 0.90499583472197423390443801219613e0+/-0.605e-30 y[1] (numeric) 0.9049958347219742338759078293133581e0+/-0.744e-28 absolute error 0.285301828827719e-19+/-0.75e-28 relative error 0.3152520905417948183000311551756439e-17+/-0.828e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) 0.1e1+/-0.55e-31 y[1] (numeric) 0.9999999999999999999711577058313829e0+/-0.744e-28 absolute error 0.288422941686171e-19+/-0.744e-28 relative error 0.288422941686171e-17+/-0.744e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.1e0+/-0.2e-100 y[1] (closed_form) 0.110499583472197423390443801219613e1+/-0.558e-31 y[1] (numeric) 0.1104995834721974233875699839562187e1+/-0.744e-28 absolute error 0.28738172633943e-19+/-0.744e-28 relative error 0.2600749408360779338758399268770069e-17+/-0.673e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.4e-100 y[1] (closed_form) 0.1219933422158758368875803483251831e1+/-0.583e-31 y[1] (numeric) 0.1219933422158758368847584624625126e1+/-0.744e-28 absolute error 0.28218858626705e-19+/-0.744e-28 relative error 0.2313147431994258852863314618602414e-17+/-0.609e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.3e0+/-0.6e-100 y[1] (closed_form) 0.134466351087439398035768977243195e1+/-0.626e-31 y[1] (numeric) 0.1344663510874393980330400231471149e1+/-0.744e-28 absolute error 0.27289540960801e-19+/-0.744e-28 relative error 0.2029469881506298741083305241652385e-17+/-0.553e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.4e0+/-0.8e-100 y[1] (closed_form) 0.1478939005997114917201473267948199e1+/-0.687e-31 y[1] (numeric) 0.1478939005997114917175513762877041e1+/-0.744e-28 absolute error 0.25959505071158e-19+/-0.744e-28 relative error 0.1755278951051524382546642223520564e-17+/-0.503e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.5e0+/-0.10e-99 y[1] (closed_form) 0.162241743810962728388371841739617e1+/-0.769e-31 y[1] (numeric) 0.1622417438109627283859476377159438e1+/-0.744e-28 absolute error 0.24242040236732e-19+/-0.744e-28 relative error 0.1494192534381152115585474091403459e-17+/-0.458e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.6e0+/-0.12e-99 y[1] (closed_form) 0.1774664385090321702759047501044624e1+/-0.823e-31 y[1] (numeric) 0.1774664385090321702736893194246192e1+/-0.744e-28 absolute error 0.22154306798432e-19+/-0.744e-28 relative error 0.1248366000048198103220032542974787e-17+/-0.419e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.7e0+/-0.14e-99 y[1] (closed_form) 0.1935157812715511573744140009808135e1+/-0.997e-31 y[1] (numeric) 0.1935157812715511573724422845109476e1+/-0.744e-28 absolute error 0.19717164698659e-19+/-0.744e-28 relative error 0.1018891822108858121844926090972159e-17+/-0.384e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.8e0+/-0.16e-99 y[1] (closed_form) 0.2103293290652834579079250018357675e1+/-0.115e-30 y[1] (numeric) 0.2103293290652834579062295053302012e1+/-0.746e-28 absolute error 0.16954965055663e-19+/-0.747e-28 relative error 0.8061151115259062042068143231685625e-18+/-0.355e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.9e0+/-0.18e-99 y[1] (closed_form) 0.2278390031729335543515283848592866e1+/-0.132e-30 y[1] (numeric) 0.2278390031729335543501388541737651e1+/-0.748e-28 absolute error 0.13895306855215e-19+/-0.749e-28 relative error 0.6098739312280186433505379832388222e-18+/-0.328e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.1e1+/-0.20e-99 y[1] (closed_form) 0.2459697694131860282599063392557023e1+/-0.153e-30 y[1] (numeric) 0.2459697694131860282588494631366358e1+/-0.75e-28 absolute error 0.10568761190665e-19+/-0.751e-28 relative error 0.4296772410641787744697098947491881e-18+/-0.305e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.11e1+/-0.22e-99 y[1] (closed_form) 0.2646403878574422612228629948215283e1+/-0.179e-30 y[1] (numeric) 0.26464038785744226122216213824086e1+/-0.753e-28 absolute error 0.7008565806683e-20+/-0.754e-28 relative error 0.2648335676736692003332468247908626e-18+/-0.284e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.12e1+/-0.24e-99 y[1] (closed_form) 0.2837642245523326422361626644376924e1+/-0.183e-30 y[1] (numeric) 0.283764224552332642235837635137822e1+/-0.758e-28 absolute error 0.3250292998704e-20+/-0.759e-28 relative error 0.1145420288209929472089133748173614e-18+/-0.267e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.13e1+/-0.26e-99 y[1] (closed_form) 0.3032501171375412593002015890707128e1+/-0.241e-30 y[1] (numeric) 0.3032501171375412593002684396520826e1+/-0.762e-28 absolute error 0.668505813698e-21+/-0.764e-28 relative error 0.2204470092240044898065687043920238e-19+/-0.251e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.14e1+/-0.28e-99 y[1] (closed_form) 0.323003285709975906138325196479635e1+/-0.279e-30 y[1] (numeric) 0.323003285709975906138796064008452e1+/-0.768e-28 absolute error 0.470867528817e-20+/-0.77e-28 relative error 0.1457779377637016185183366404314356e-18+/-0.238e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.15e1+/-0.30e-99 y[1] (closed_form) 0.3429262798332297089911810148565724e1+/-0.323e-30 y[1] (numeric) 0.3429262798332297089920639995952558e1+/-0.772e-28 absolute error 0.8829847386834e-20+/-0.775e-28 relative error 0.2574852936651017161910724040550878e-18+/-0.225e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.16e1+/-0.32e-99 y[1] (closed_form) 0.3629199522301288726205770462946489e1+/-0.376e-30 y[1] (numeric) 0.3629199522301288726218761307666834e1+/-0.774e-28 absolute error 0.12990844720345e-19+/-0.777e-28 relative error 0.3579534451196956435835548795493835e-18+/-0.214e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.17e1+/-0.34e-99 y[1] (closed_form) 0.3828844494295524684087642857334852e1+/-0.436e-30 y[1] (numeric) 0.3828844494295524684104792949313657e1+/-0.779e-28 absolute error 0.17150091978805e-19+/-0.783e-28 relative error 0.4479182166932186487787498536923938e-18+/-0.204e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.18e1+/-0.36e-99 y[1] (closed_form) 0.4027202094693087055316674306530559e1+/-0.504e-30 y[1] (numeric) 0.4027202094693087055337940337869009e1+/-0.782e-28 absolute error 0.2126603133845e-19+/-0.787e-28 relative error 0.5280597009639438911226133584015503e-18+/-0.195e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.19e1+/-0.38e-99 y[1] (closed_form) 0.4223289566863503422278833695080291e1+/-0.582e-30 y[1] (numeric) 0.4223289566863503422304131232774048e1+/-0.786e-28 absolute error 0.25297537693757e-19+/-0.791e-28 relative error 0.5990007858387185879928735525168433e-18+/-0.187e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.2e1+/-0.40e-99 y[1] (closed_form) 0.441614683654714238699756822950074e1+/-0.667e-30 y[1] (numeric) 0.441614683654714238702677255906661e1+/-0.79e-28 absolute error 0.2920432956587e-19+/-0.796e-28 relative error 0.6613079375934886591901944920942872e-18+/-0.18e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.21e1+/-0.42e-99 y[1] (closed_form) 0.4604846104599857451620938523719147e1+/-0.774e-30 y[1] (numeric) 0.4604846104599857451653885895300953e1+/-0.794e-28 absolute error 0.32947371581806e-19+/-0.801e-28 relative error 0.7154934352506226408471197236526138e-18+/-0.173e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.22e1+/-0.44e-99 y[1] (closed_form) 0.4788501117255345708524142612654906e1+/-0.892e-30 y[1] (numeric) 0.4788501117255345708560631877157943e1+/-0.798e-28 absolute error 0.36489264503037e-19+/-0.806e-28 relative error 0.7620185024401074699772122161796382e-18+/-0.168e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.23e1+/-0.46e-99 y[1] (closed_form) 0.4966276021279824193317880571165998e1+/-0.101e-29 y[1] (numeric) 0.4966276021279824193357675190072275e1+/-0.802e-28 absolute error 0.39794618906277e-19+/-0.812e-28 relative error 0.8012969624677004483938666077133927e-18+/-0.163e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.24e1+/-0.48e-99 y[1] (closed_form) 0.5137393715541245499608822227334766e1+/-0.116e-29 y[1] (numeric) 0.5137393715541245499651652636117707e1+/-0.806e-28 absolute error 0.42830408782941e-19+/-0.817e-28 relative error 0.8336991703278213856016401761726837e-18+/-0.159e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.25e1+/-0.50e-99 y[1] (closed_form) 0.5301143615546933714833502790467334e1+/-0.133e-29 y[1] (numeric) 0.5301143615546933714879069091991417e1+/-0.81e-28 absolute error 0.45566301524083e-19+/-0.823e-28 relative error 0.8595560661750115229842209800274288e-18+/-0.155e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.26e1+/-0.52e-99 y[1] (closed_form) 0.5456888753368947233797702151645183e1+/-0.152e-29 y[1] (numeric) 0.5456888753368947233845677112638979e1+/-0.814e-28 absolute error 0.47974960993796e-19+/-0.829e-28 relative error 0.8791632588107546394771076950196127e-18+/-0.151e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.27e1+/-0.54e-99 y[1] (closed_form) 0.560407214201706114798252728194331e1+/-0.144e-29 y[1] (numeric) 0.5604072142017061148032559602606166e1+/-0.818e-28 absolute error 0.50032320662856e-19+/-0.832e-28 relative error 0.8927850926067482557790459551185673e-18+/-0.148e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.28e1+/-0.56e-99 y[1] (closed_form) 0.5742222340668658152586788117366135e1+/-0.198e-29 y[1] (numeric) 0.5742222340668658152638505941439654e1+/-0.822e-28 absolute error 0.51717824073519e-19+/-0.841e-28 relative error 0.9006586823925851727504029820021747e-18+/-0.146e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.29e1+/-0.58e-99 y[1] (closed_form) 0.5870958165149590521781106669345515e1+/-0.227e-29 y[1] (numeric) 0.5870958165149590521834121299578375e1+/-0.826e-28 absolute error 0.5301463023286e-19+/-0.848e-28 relative error 0.9029979220011900850737175902314605e-18+/-0.144e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.3e1+/-0.60e-99 y[1] (closed_form) 0.5989992496600445457271572794731239e1+/-0.257e-29 y[1] (numeric) 0.598999249660044545732548257661365e1+/-0.832e-28 absolute error 0.53909781882411e-19+/-0.857e-28 relative error 0.8999974860236787511930876827743086e-18+/-0.143e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.31e1+/-0.62e-99 y[1] (closed_form) 0.6099135150273279464492376054541439e1+/-0.294e-29 y[1] (numeric) 0.6099135150273279464546770389504219e1+/-0.847e-28 absolute error 0.5439433496278e-19+/-0.876e-28 relative error 0.8918368526452933745031913473327234e-18+/-0.143e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.32e1+/-0.64e-99 y[1] (closed_form) 0.6198294775794753084661660722283554e1+/-0.335e-29 y[1] (numeric) 0.6198294775794753084716124170263311e1+/-0.853e-28 absolute error 0.54463447979757e-19+/-0.886e-28 relative error 0.8786843793303397512395972950233797e-18+/-0.142e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.33e1+/-0.66e-99 y[1] (closed_form) 0.628747976990886488393659105110282e1+/-0.384e-29 y[1] (numeric) 0.6287479769908864883990707481481748e1+/-0.859e-28 absolute error 0.54116430378928e-19+/-0.897e-28 relative error 0.8607014632146069120069724071520726e-18+/-0.142e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.34e1+/-0.68e-99 y[1] (closed_form) 0.6366798192579461014282201539765677e1+/-0.36e-29 y[1] (numeric) 0.6366798192579461014335558289211107e1+/-0.865e-28 absolute error 0.5335674944543e-19+/-0.901e-28 relative error 0.8380468146079703075330799509086905e-18+/-0.141e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.35e1+/-0.70e-99 y[1] (closed_form) 0.6436456687290796337698657626671746e1+/-0.412e-29 y[1] (numeric) 0.6436456687290796337750849622331812e1+/-0.871e-28 absolute error 0.52191995660066e-19+/-0.912e-28 relative error 0.8108808649815433480525878540939607e-18+/-0.141e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.36e1+/-0.72e-99 y[1] (closed_form) 0.6496758416334147005870291725265954e1+/-0.558e-29 y[1] (numeric) 0.6496758416334147005920925532123556e1+/-0.877e-28 absolute error 0.50633806857602e-19+/-0.932e-28 relative error 0.7793703199783218999588967526428972e-18+/-0.143e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.37e1+/-0.74e-99 y[1] (closed_form) 0.6548100031710408158835670106354389e1+/-0.53e-29 y[1] (numeric) 0.6548100031710408158884367858299957e1+/-0.883e-28 absolute error 0.48697751945568e-19+/-0.936e-28 relative error 0.7436928530373690208420818920053201e-18+/-0.142e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.38e1+/-0.76e-99 y[1] (closed_form) 0.6590967711914416699996568174350716e1+/-0.596e-29 y[1] (numeric) 0.6590967711914416700042971349695296e1+/-0.889e-28 absolute error 0.4640317534458e-19+/-0.948e-28 relative error 0.7040419157371612125551138397546235e-18+/-0.143e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.39e1+/-0.78e-99 y[1] (closed_form) 0.6625932304200140129372330484614361e1+/-0.816e-29 y[1] (numeric) 0.6625932304200140129416103488319928e1+/-0.895e-28 absolute error 0.43773003705567e-19+/-0.976e-28 relative error 0.660631616743496554557842151724776e-18+/-0.147e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.4e1+/-0.80e-99 y[1] (closed_form) 0.665364362086361191463916818309775e1+/-0.924e-29 y[1] (numeric) 0.6653643620863611914680001699931922e1+/-0.901e-28 absolute error 0.40833516834172e-19+/-0.993e-28 relative error 0.6137015921040868721829564592012876e-18+/-0.149e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.41e1+/-0.82e-99 y[1] (closed_form) 0.6674823946533268911535028679659786e1+/-0.102e-28 y[1] (numeric) 0.6674823946533268911572642764771302e1+/-0.907e-28 absolute error 0.37614085111516e-19+/-0.1e-27 relative error 0.5635217559715830992745596278603046e-18+/-0.149e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.42e1+/-0.84e-99 y[1] (closed_form) 0.6690260821340699577655544881377162e1+/-0.116e-28 y[1] (numeric) 0.669026082134069957768969175741229e1+/-0.913e-28 absolute error 0.34146876035128e-19+/-0.102e-27 relative error 0.5103967834289173868142411002568367e-18+/-0.152e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.43e1+/-0.86e-99 y[1] (closed_form) 0.6700799172079975296906762396336027e1+/-0.131e-28 y[1] (numeric) 0.6700799172079975296937228929148134e1+/-0.919e-28 absolute error 0.30466532812107e-19+/-0.105e-27 relative error 0.454670137541966855525310273370955e-18+/-0.156e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.44e1+/-0.88e-99 y[1] (closed_form) 0.6707332869978419683119139742217682e1+/-0.149e-28 y[1] (numeric) 0.6707332869978419683145749570432976e1+/-0.925e-28 absolute error 0.26609828215294e-19+/-0.107e-27 relative error 0.3967274135804089745884923300185945e-18+/-0.159e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.45e1+/-0.90e-99 y[1] (closed_form) 0.6710795799430779705980481824793845e1+/-0.169e-28 y[1] (numeric) 0.6710795799430779706003097121955954e1+/-0.931e-28 absolute error 0.22615297162109e-19+/-0.11e-27 relative error 0.3369987381232381591462991965269182e-18+/-0.163e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.46e1+/-0.92e-99 y[1] (closed_form) 0.6712152526935054517429907821229158e1+/-0.19e-28 y[1] (numeric) 0.6712152526935054517448430672915728e1+/-0.937e-28 absolute error 0.1852285168657e-19+/-0.112e-27 relative error 0.2759599340485789218548244962357235e-18+/-0.166e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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] 0.47e1+/-0.94e-99 y[1] (closed_form) 0.6712388663462890737150508296327111e1+/-0.215e-28 y[1] (numeric) 0.6712388663462890737164881678478033e1+/-0.954e-28 absolute error 0.14373382150922e-19+/-0.116e-27 relative error 0.2141321498434632898299643913328565e-18+/-0.172e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.96e-99 y[1] (closed_form) 0.6712501016560553430679784742350516e1+/-0.243e-28 y[1] (numeric) 0.6712501016560553430689993091033763e1+/-0.962e-28 absolute error 0.10208348683247e-19+/-0.12e-27 relative error 0.1520796594005984766001235191182332e-18+/-0.178e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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+/-0.98e-99 y[1] (closed_form) 0.6713487630577424595505670855878044e1+/-0.273e-28 y[1] (numeric) 0.6713487630577424595511740222799229e1+/-0.97e-28 absolute error 0.6069366921185e-20+/-0.124e-27 relative error 0.9040557241129490230682817306874984e-19+/-0.184e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 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! diff ( y , x , 1 ) = sin ( x ) + 1.0 ; Iterations 200 Total Elapsed Time 4 Minutes 20 Seconds Elapsed Time(since restart) 4 Minutes 19 Seconds Time to Timeout 15 Minutes 40 Seconds Percent Done 0.1005e3+/-0.155e-28%