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/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * 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(-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(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*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) -0.164872127070012814684865078781416e2+/-0.267e-28 y[1] (numeric) -0.164872127070012814684865078781416e2+/-0.283e-28 absolute error 0.0e0+/-0.550e-28 relative error 0.0e0+/-0.3335918628419483829820897442462304e-27% 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) -0.16323162199553789701224181313345e2+/-0.196e-28 y[1] (numeric) -0.163231621995537897012242498387513e2+/-0.34e-28 absolute error 0.685254063e-22+/-0.536e-28 relative error 0.4198047257159106825569127236854623e-21+/-0.328e-27% 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) -0.161607440219289338214249910568796e2+/-0.193e-28 y[1] (numeric) -0.161607440219289338214251274258531e2+/-0.38e-28 absolute error 0.1363689735e-21+/-0.573e-28 relative error 0.8438285595945173910324582795351735e-21+/-0.354e-27% 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) -0.159999419321736024109845004631146e2+/-0.189e-28 y[1] (numeric) -0.159999419321736024109847040006004e2+/-0.426e-28 absolute error 0.2035374858e-21+/-0.615e-28 relative error 0.1272113903055580036925264524450596e-20+/-0.384e-27% 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) -0.158407398499448177486256201347363e2+/-0.186e-28 y[1] (numeric) -0.158407398499448177486258901723966e2+/-0.482e-28 absolute error 0.2700376603e-21+/-0.668e-28 relative error 0.1704703586183448961937947734907928e-20+/-0.421e-27% 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) -0.156831218549016881117959977469321e2+/-0.183e-28 y[1] (numeric) -0.156831218549016881117963336230791e2+/-0.524e-28 absolute error 0.335876147e-21+/-0.707e-28 relative error 0.2141640867854530150086220632168423e-20+/-0.45e-27% 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) -0.155270721851133604205007964619169e2+/-0.179e-28 y[1] (numeric) -0.155270721851133604205011975214467e2+/-0.58e-28 absolute error 0.4010595298e-21+/-0.759e-28 relative error 0.2582969442136794799598509452424634e-20+/-0.488e-27% 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) -0.153725752354828140170085346591441e2+/-0.176e-28 y[1] (numeric) -0.153725752354828140170090002534713e2+/-0.622e-28 absolute error 0.4655943272e-21+/-0.798e-28 relative error 0.3028733442951836367445193013448482e-20+/-0.519e-27% 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) -0.152196155561863379594944480032371e2+/-0.173e-28 y[1] (numeric) -0.152196155561863379594949774902297e2+/-0.678e-28 absolute error 0.5294869926e-21+/-0.851e-28 relative error 0.3478977446212685034890346644121364e-20+/-0.559e-27% 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) -0.150681778511285357760502982624242e2+/-0.169e-28 y[1] (numeric) -0.150681778511285357760508910063394e2+/-0.734e-28 absolute error 0.5927439152e-21+/-0.903e-28 relative error 0.3933746475892612746672843682204836e-20+/-0.599e-27% 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) -0.149182469764127031782485295283722e2+/-0.166e-28 y[1] (numeric) -0.149182469764127031782491848997932e2+/-0.79e-28 absolute error 0.655371421e-21+/-0.956e-28 relative error 0.439308601095162345172325363993318e-20+/-0.64e-27% 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) -0.147698079388264257707574387653871e2+/-0.163e-28 y[1] (numeric) -0.147698079388264257707581561411598e2+/-0.846e-28 absolute error 0.7173757727e-21+/-0.1e-27 relative error 0.4857041985049678263047436471588559e-20+/-0.677e-27% 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] -0.38e1+/-0.5e-30 y[1] (closed_form) -0.146228458943422453155163160907002e2+/-0.159e-28 y[1] (numeric) -0.14622845894342245315517094853871e2+/-0.902e-28 absolute error 0.7787631708e-21+/-0.106e-27 relative error 0.5325660794259705787277286917384678e-20+/-0.724e-27% 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+/-0.5e-30 y[1] (closed_form) -0.144773461466332446158475233551923e2+/-0.156e-28 y[1] (numeric) -0.144773461466332446158483628949464e2+/-0.958e-28 absolute error 0.8395397541e-21+/-0.111e-27 relative error 0.5798989300917128271572435130178517e-20+/-0.766e-27% 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+/-0.5e-30 y[1] (closed_form) -0.143332941456034025777569055124561e2+/-0.153e-28 y[1] (numeric) -0.143332941456034025777578052240564e2+/-0.1e-27 absolute error 0.8997116003e-21+/-0.115e-27 relative error 0.627707483820791963952626541737394e-20+/-0.802e-27% 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+/-0.5e-30 y[1] (closed_form) -0.141906754859325724827039566193987e2+/-0.15e-28 y[1] (numeric) -0.141906754859325724827049159041253e2+/-0.1e-27 absolute error 0.9592847266e-21+/-0.115e-27 relative error 0.6759965214840922877788112216618582e-20+/-0.81e-27% 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+/-0.5e-30 y[1] (closed_form) -0.140494759056359379684564953372225e2+/-0.147e-28 y[1] (numeric) -0.140494759056359379684575136023129e2+/-0.1e-27 absolute error 0.10182650904e-20+/-0.114e-27 relative error 0.7247708720519059592658071048587653e-20+/-0.811e-27% 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+/-0.5e-30 y[1] (closed_form) -0.139096812846378026624274780495312e2+/-0.144e-28 y[1] (numeric) -0.139096812846378026624285547081209e2+/-0.1e-27 absolute error 0.10766585897e-20+/-0.114e-27 relative error 0.7740354129386763706680599324823688e-20+/-0.819e-27% 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+/-0.5e-30 y[1] (closed_form) -0.137712776433595708452687706782814e2+/-0.141e-28 y[1] (numeric) -0.137712776433595708452699051493455e2+/-0.1e-27 absolute error 0.11344710641e-20+/-0.114e-27 relative error 0.8237950707841804936348189089612469e-20+/-0.827e-27% 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+/-0.5e-30 y[1] (closed_form) -0.136342511413217779416115518721432e2+/-0.138e-28 y[1] (numeric) -0.136342511413217779416127435804379e2+/-0.1e-27 absolute error 0.11917082947e-20+/-0.113e-27 relative error 0.8740548214549533093932447050438073e-20+/-0.828e-27% 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+/-0.5e-30 y[1] (closed_form) -0.1349858807576003103983744313328e2+/-0.135e-28 y[1] (numeric) -0.134985880757600310398386915092854e2+/-0.1e-27 absolute error 0.12483760054e-20+/-0.113e-27 relative error 0.9248196910621786144503760978907823e-20+/-0.837e-27% 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+/-0.5e-30 y[1] (closed_form) -0.133642748802547210337789562507553e2+/-0.132e-28 y[1] (numeric) -0.133642748802547210337802607306182e2+/-0.1e-27 absolute error 0.13044798629e-20+/-0.113e-27 relative error 0.976094756047951636764990548443146e-20+/-0.845e-27% 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+/-0.5e-30 y[1] (closed_form) -0.132312981233743693564215177303641e2+/-0.129e-28 y[1] (numeric) -0.132312981233743693564228777558418e2+/-0.1e-27 absolute error 0.13600254777e-20+/-0.112e-27 relative error 0.1027885144011216328646038616152909e-19+/-0.846e-27% 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+/-0.5e-30 y[1] (closed_form) -0.130996445073324736391498922662623e2+/-0.127e-28 y[1] (numeric) -0.130996445073324736391513072846666e2+/-0.1e-27 absolute error 0.14150184043e-20+/-0.112e-27 relative error 0.108019603395187488148503689587516e-19+/-0.854e-27% 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+/-0.5e-30 y[1] (closed_form) -0.129693008666577179799856308817884e2+/-0.124e-28 y[1] (numeric) -0.129693008666577179799871003459307e2+/-0.1e-27 absolute error 0.14694641423e-20+/-0.112e-27 relative error 0.1133032657201892385295167349258656e-19+/-0.863e-27% 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+/-0.5e-30 y[1] (closed_form) -0.128402541668774148407342056806243e2+/-0.121e-28 y[1] (numeric) -0.128402541668774148407357290487603e2+/-0.1e-27 absolute error 0.1523368136e-20+/-0.112e-27 relative error 0.1186400297222826389039970620609392e-19+/-0.872e-27% 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+/-0.5e-30 y[1] (closed_form) -0.127124915032140469161344105122777e2+/-0.119e-28 y[1] (numeric) -0.127124915032140469161359872480538e2+/-0.1e-27 absolute error 0.15767357761e-20+/-0.111e-27 relative error 0.1240304291020655063437154484305748e-19+/-0.873e-27% 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+/-0.5e-30 y[1] (closed_form) -0.125860000992947786281107237621901e2+/-0.116e-28 y[1] (numeric) -0.125860000992947786281123533345893e2+/-0.1e-27 absolute error 0.16295723992e-20+/-0.111e-27 relative error 0.1294750028876377125693641040148899e-19+/-0.881e-27% 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+/-0.5e-30 y[1] (closed_form) -0.124607673058738081952026478299269e2+/-0.114e-28 y[1] (numeric) -0.124607673058738081952043297132162e2+/-0.1e-27 absolute error 0.16818832893e-20+/-0.111e-27 relative error 0.1349742955642215448942033523660189e-19+/-0.89e-27% 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+/-0.5e-30 y[1] (closed_form) -0.123367805995674325113132580715629e2+/-0.111e-28 y[1] (numeric) -0.123367805995674325113149917452402e2+/-0.1e-27 absolute error 0.17336736773e-20+/-0.111e-27 relative error 0.1405288570472581975544698131450307e-19+/-0.899e-27% 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+/-0.5e-30 y[1] (closed_form) -0.122140275816016983392107199463967e2+/-0.109e-28 y[1] (numeric) -0.12214027581601698339212504895139e2+/-0.1e-27 absolute error 0.17849487423e-20+/-0.11e-27 relative error 0.146139242798887557245511773693167e-19+/-0.9e-27% 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+/-0.5e-30 y[1] (closed_form) -0.120924959765725145828584970355427e2+/-0.106e-28 y[1] (numeric) -0.120924959765725145828603327491546e2+/-0.1e-27 absolute error 0.18357136119e-20+/-0.11e-27 relative error 0.1518060138664865529905070471965635e-19+/-0.909e-27% 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+/-0.5e-30 y[1] (closed_form) -0.119721736312181016487682397360047e2+/-0.104e-28 y[1] (numeric) -0.119721736312181016487701257093674e2+/-0.1e-27 absolute error 0.18859733627e-20+/-0.11e-27 relative error 0.1575297369378456606718944756607156e-19+/-0.918e-27% 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+/-0.5e-30 y[1] (closed_form) -0.118530485132036551402885276436925e2+/-0.101e-28 y[1] (numeric) -0.11853048513203655140290463376713e2+/-0.1e-27 absolute error 0.19357330205e-20+/-0.11e-27 relative error 0.1633109843719696314185725107499823e-19+/-0.928e-27% 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+/-0.5e-30 y[1] (closed_form) -0.117351087099181023501861108689196e2+/-0.994e-29 y[1] (numeric) -0.11735108709918102350188095866481e2+/-0.1e-27 absolute error 0.19849975614e-20+/-0.109e-27 relative error 0.1691503343060085733832878798567356e-19+/-0.928e-27% 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+/-0.5e-30 y[1] (closed_form) -0.116183424272828312261662021433165e2+/-0.97e-29 y[1] (numeric) -0.116183424272828312261682359152285e2+/-0.1e-27 absolute error 0.2033771912e-20+/-0.109e-27 relative error 0.1750483706887640741318719421227809e-19+/-0.938e-27% 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+/-0.5e-30 y[1] (closed_form) -0.115027379885722726812356425762113e2+/-0.948e-29 y[1] (numeric) -0.11502737988572272681237724637161e2+/-0.1e-27 absolute error 0.20820609497e-20+/-0.109e-27 relative error 0.1810056833223953803133608473564652e-19+/-0.947e-27% 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+/-0.5e-30 y[1] (closed_form) -0.113882838332462183061571260261896e2+/-0.925e-29 y[1] (numeric) -0.113882838332462183061592558956929e2+/-0.1e-27 absolute error 0.21298695033e-20+/-0.109e-27 relative error 0.1870228679304775408336549433874997e-19+/-0.957e-27% 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] -0.12e1+/-0.5e-30 y[1] (closed_form) -0.112749685157937567147926556937484e2+/-0.903e-29 y[1] (numeric) -0.112749685157937567147948328961024e2+/-0.1e-27 absolute error 0.2177202354e-20+/-0.109e-27 relative error 0.1931005262631303374995406567966252e-19+/-0.966e-27% 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) -0.111627807045887129150073776905298e2+/-0.882e-29 y[1] (numeric) -0.111627807045887129150096017547646e2+/-0.1e-27 absolute error 0.22240642348e-20+/-0.108e-27 relative error 0.1992392660625992774938201169936129e-19+/-0.967e-27% 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) -0.110517091807564762481170782649024e2+/-0.862e-29 y[1] (numeric) -0.110517091807564762481193487247346e2+/-0.1e-27 absolute error 0.22704598322e-20+/-0.108e-27 relative error 0.2054397012322206026052484542549776e-19+/-0.977e-27% 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) -0.109417428370521035787289762354488e2+/-0.841e-29 y[1] (numeric) -0.109417428370521035787312926292344e2+/-0.1e-27 absolute error 0.23163937856e-20+/-0.108e-27 relative error 0.2117024518028315222261126032357621e-19+/-0.987e-27% 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) -0.108328706767495855443598775867488e2+/-0.82e-29 y[1] (numeric) -0.108328706767495855443622394574375e2+/-0.1e-27 absolute error 0.23618706887e-20+/-0.108e-27 relative error 0.2180281440790431213059500056549863e-19+/-0.996e-27% 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) -0.107250818125421647905310394988911e2+/-0.801e-29 y[1] (numeric) -0.1072508181254216479053344639398e2+/-0.1e-27 absolute error 0.24068950889e-20+/-0.108e-27 relative error 0.2244174106052337851935907584738683e-19+/-0.1e-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+/-0.5e-30 y[1] (closed_form) -0.106183654654535962222468487716837e2+/-0.78e-29 y[1] (numeric) -0.106183654654535962222493002431726e2+/-0.1e-27 absolute error 0.24514714889e-20+/-0.107e-27 relative error 0.2308708903338992237556947563472509e-19+/-0.1e-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+/-0.5e-30 y[1] (closed_form) -0.105127109637602403969751763633564e2+/-0.76e-29 y[1] (numeric) -0.105127109637602403969776719677027e2+/-0.1e-27 absolute error 0.24956043463e-20+/-0.107e-27 relative error 0.2373892286112429588541858742103979e-19+/-0.101e-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+/-0.5e-30 y[1] (closed_form) -0.104081077419238822675704475791685e2+/-0.742e-29 y[1] (numeric) -0.104081077419238822675729868772429e2+/-0.1e-27 absolute error 0.25392980744e-20+/-0.107e-27 relative error 0.2439730772743350294015415612333022e-19+/-0.102e-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+/-0.5e-30 y[1] (closed_form) -0.103045453395351685561243995383119e2+/-0.724e-29 y[1] (numeric) -0.103045453395351685561269820953546e2+/-0.1e-27 absolute error 0.25825570427e-20+/-0.107e-27 relative error 0.2506230947222458914415638778069661e-19+/-0.103e-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+/-0.5e-30 y[1] (closed_form) -0.102020134002675581016014392048314e2+/-0.705e-29 y[1] (numeric) -0.102020134002675581016040645904085e2+/-0.1e-27 absolute error 0.26253855771e-20+/-0.107e-27 relative error 0.257339945959211013444947694865341e-19+/-0.104e-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) -0.101005016708416805754216545690285e2+/-0.687e-29 y[1] (numeric) -0.101005016708416805754243223569889e2+/-0.1e-27 absolute error 0.26677879604e-20+/-0.106e-27 relative error 0.2641243026672052126840768557522524e-19+/-0.104e-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) -0.1e2+/-0.65e-29 y[1] (numeric) -0.100000000000000000000027097684328e2+/-0.1e-27 absolute error 0.27097684328e-20+/-0.106e-27 relative error 0.27097684328e-19+/-0.106e-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) -0.990049833749168053573905977180036e1+/-0.526e-29 y[1] (numeric) -0.990049833749168053574181110299312e1+/-0.1e-27 absolute error 0.275133119276e-20+/-0.105e-27 relative error 0.2778982530951121393069778400533817e-19+/-0.106e-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) -0.98019867330675530222081410422531e1+/-0.532e-29 y[1] (numeric) -0.980198673306755302221093352264943e1+/-0.1e-27 absolute error 0.279248039633e-20+/-0.105e-27 relative error 0.2848892242334312157560128935840627e-19+/-0.107e-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) -0.970445533548508176932528351959194e1+/-0.537e-29 y[1] (numeric) -0.970445533548508176932811673975045e1+/-0.1e-27 absolute error 0.283322015851e-20+/-0.105e-27 relative error 0.2919504558025131202630233909121485e-19+/-0.108e-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) -0.960789439152323209439210691323245e1+/-0.543e-29 y[1] (numeric) -0.960789439152323209439498046778573e1+/-0.1e-27 absolute error 0.287355455328e-20+/-0.105e-27 relative error 0.2990826539283419103715171092428736e-19+/-0.109e-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) -0.951229424500714009091425319779652e1+/-0.548e-29 y[1] (numeric) -0.951229424500714009091716668541062e1+/-0.1e-27 absolute error 0.29134876141e-20+/-0.105e-27 relative error 0.306286531835287343586256434398021e-19+/-0.11e-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) -0.94176453358424870953715278327115e1+/-0.554e-29 y[1] (numeric) -0.941764533584248709537448085604582e1+/-0.1e-27 absolute error 0.295302333432e-20+/-0.105e-27 relative error 0.3135628099182211748745434512187025e-19+/-0.111e-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) -0.932393819905948228857972632484967e1+/-0.559e-29 y[1] (numeric) -0.932393819905948228858271849051725e1+/-0.1e-27 absolute error 0.299216566758e-20+/-0.105e-27 relative error 0.32091221581475342927357678664911e-19+/-0.112e-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) -0.923116346386635782910759849572389e1+/-0.563e-29 y[1] (numeric) -0.923116346386635782911062941425198e1+/-0.1e-27 absolute error 0.303091852809e-20+/-0.105e-27 relative error 0.328335484465631760036287815764815e-19+/-0.113e-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) -0.913931185271228186747353546499522e1+/-0.567e-29 y[1] (numeric) -0.913931185271228186747660475078641e1+/-0.1e-27 absolute error 0.306928579119e-20+/-0.105e-27 relative error 0.3358333582061898097989299627939831e-19+/-0.114e-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) -0.904837418035959573164249059446437e1+/-0.573e-29 y[1] (numeric) -0.904837418035959573164559786575804e1+/-0.1e-27 absolute error 0.310727129367e-20+/-0.105e-27 relative error 0.3434065868335379182071738168180411e-19+/-0.116e-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) -0.895834135296528250676854582876513e1+/-0.577e-29 y[1] (numeric) -0.895834135296528250677169070759919e1+/-0.1e-27 absolute error 0.314487883406e-20+/-0.105e-27 relative error 0.3510559276711441676398446582769148e-19+/-0.117e-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) -0.886920436717157515527565228769838e1+/-0.581e-29 y[1] (numeric) -0.886920436717157515527883439987157e1+/-0.1e-27 absolute error 0.318211217319e-20+/-0.105e-27 relative error 0.3587821456644130001754301262988539e-19+/-0.118e-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] 0.13e1+/-0.26e-99 y[1] (closed_form) -0.878095430920561323733072409157392e1+/-0.585e-29 y[1] (numeric) -0.878095430920561323733394306660833e1+/-0.1e-27 absolute error 0.321897503441e-20+/-0.105e-27 relative error 0.3665860134399459227406450666502053e-19+/-0.119e-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] 0.14e1+/-0.28e-99 y[1] (closed_form) -0.869358235398805819663084416171182e1+/-0.589e-29 y[1] (numeric) -0.869358235398805819663409963281585e1+/-0.1e-27 absolute error 0.325547110403e-20+/-0.105e-27 relative error 0.3744683113902519806902840560216531e-19+/-0.12e-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] 0.15e1+/-0.30e-99 y[1] (closed_form) -0.860707976425057807229033764543308e1+/-0.591e-29 y[1] (numeric) -0.860707976425057807229362924946476e1+/-0.1e-27 absolute error 0.329160403168e-20+/-0.105e-27 relative error 0.3824298277508296449169366888469462e-19+/-0.121e-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] 0.16e1+/-0.32e-99 y[1] (closed_form) -0.852143788966211338456346981468563e1+/-0.595e-29 y[1] (numeric) -0.852143788966211338456679719211632e1+/-0.1e-27 absolute error 0.332737743069e-20+/-0.105e-27 relative error 0.3904713586807513591828271222634935e-19+/-0.123e-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] 0.17e1+/-0.34e-99 y[1] (closed_form) -0.843664816596383682026322651915422e1+/-0.598e-29 y[1] (numeric) -0.843664816596383682026658931403266e1+/-0.1e-27 absolute error 0.336279487844e-20+/-0.105e-27 relative error 0.3985937083410210822245024046409783e-19+/-0.124e-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] 0.18e1+/-0.36e-99 y[1] (closed_form) -0.835270211411272021312384974018776e1+/-0.601e-29 y[1] (numeric) -0.835270211411272021312724760010445e1+/-0.1e-27 absolute error 0.339785991669e-20+/-0.106e-27 relative error 0.4067976889716895365150360271049921e-19+/-0.126e-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] 0.19e1+/-0.38e-99 y[1] (closed_form) -0.826959133943362317509146793708335e1+/-0.604e-29 y[1] (numeric) -0.826959133943362317509490051313533e1+/-0.1e-27 absolute error 0.343257605198e-20+/-0.106e-27 relative error 0.4150841209784731667900939633725978e-19+/-0.128e-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] 0.2e1+/-0.40e-99 y[1] (closed_form) -0.818730753077981858669935508619038e1+/-0.61e-29 y[1] (numeric) -0.818730753077981858670282203294636e1+/-0.1e-27 absolute error 0.346694675598e-20+/-0.106e-27 relative error 0.4234538330148425278958515915180053e-19+/-0.129e-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] 0.21e1+/-0.42e-99 y[1] (closed_form) -0.810584245970187099837729151550692e1+/-0.612e-29 y[1] (numeric) -0.810584245970187099838079249097265e1+/-0.1e-27 absolute error 0.350097546573e-20+/-0.106e-27 relative error 0.4319076620517942067283527717101392e-19+/-0.13e-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] 0.22e1+/-0.44e-99 y[1] (closed_form) -0.802518797962478482984255382993405e1+/-0.615e-29 y[1] (numeric) -0.802518797962478482984608849551823e1+/-0.1e-27 absolute error 0.353466558418e-20+/-0.106e-27 relative error 0.440446453485474889896572386652517e-19+/-0.132e-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] 0.23e1+/-0.46e-99 y[1] (closed_form) -0.794533602503334008170676090663685e1+/-0.618e-29 y[1] (numeric) -0.794533602503334008171032892711719e1+/-0.1e-27 absolute error 0.356802048034e-20+/-0.106e-27 relative error 0.4490710611984504373592559082467462e-19+/-0.133e-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] 0.24e1+/-0.48e-99 y[1] (closed_form) -0.786627861066553409219084747515637e1+/-0.62e-29 y[1] (numeric) -0.78662786106655340921944485186461e1+/-0.1e-27 absolute error 0.360104348973e-20+/-0.106e-27 relative error 0.4577823476589688501803260227286918e-19+/-0.134e-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] 0.25e1+/-0.50e-99 y[1] (closed_form) -0.77880078307140486824517026697832e1+/-0.622e-29 y[1] (numeric) -0.778800783071404868245533640769789e1+/-0.1e-27 absolute error 0.363373791469e-20+/-0.106e-27 relative error 0.4665811840043872067222757101846556e-19+/-0.136e-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] 0.26e1+/-0.52e-99 y[1] (closed_form) -0.77105158580356628365695599543358e1+/-0.625e-29 y[1] (numeric) -0.771051585803566283657322606136048e1+/-0.1e-27 absolute error 0.366610702468e-20+/-0.106e-27 relative error 0.4754684501244227187956366102118633e-19+/-0.137e-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] 0.27e1+/-0.54e-99 y[1] (closed_form) -0.763379494336853185680531219557903e1+/-0.627e-29 y[1] (numeric) -0.76337949433685318568090103496357e1+/-0.1e-27 absolute error 0.369815405667e-20+/-0.106e-27 relative error 0.4844450347572647094904801181467156e-19+/-0.138e-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] 0.28e1+/-0.56e-99 y[1] (closed_form) -0.755783741455725472139100807194314e1+/-0.628e-29 y[1] (numeric) -0.755783741455725472139473795415848e1+/-0.1e-27 absolute error 0.372988221534e-20+/-0.106e-27 relative error 0.4935118355623557741130490060697589e-19+/-0.14e-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] 0.29e1+/-0.58e-99 y[1] (closed_form) -0.748263567578565215094352951274785e1+/-0.631e-29 y[1] (numeric) -0.74826356757856521509472908074214e1+/-0.1e-27 absolute error 0.376129467355e-20+/-0.106e-27 relative error 0.5026697592296014629159393777404459e-19+/-0.141e-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] 0.3e1+/-0.60e-99 y[1] (closed_form) -0.740818220681717866066873779317815e1+/-0.633e-29 y[1] (numeric) -0.740818220681717866067253018775076e1+/-0.1e-27 absolute error 0.379239457261e-20+/-0.106e-27 relative error 0.5119197215641040521624465403531099e-19+/-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] 0.31e1+/-0.62e-99 y[1] (closed_form) -0.733446956224289263892831663315435e1+/-0.634e-29 y[1] (numeric) -0.733446956224289263893213981817682e1+/-0.1e-27 absolute error 0.382318502247e-20+/-0.106e-27 relative error 0.5212626475609592474520051129231171e-19+/-0.144e-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] 0.32e1+/-0.64e-99 y[1] (closed_form) -0.726149037073690924855047529423577e1+/-0.637e-29 y[1] (numeric) -0.726149037073690924855432896333804e1+/-0.1e-27 absolute error 0.385366910227e-20+/-0.106e-27 relative error 0.5306994715299639860609936857663953e-19+/-0.145e-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] 0.33e1+/-0.66e-99 y[1] (closed_form) -0.71892373343192616955541847611042e1+/-0.638e-29 y[1] (numeric) -0.718923733431926169555806861096458e1+/-0.1e-27 absolute error 0.388384986038e-20+/-0.106e-27 relative error 0.5402311371527082890933895289454733e-19+/-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] 0.34e1+/-0.68e-99 y[1] (closed_form) -0.711770322762609715079953510756987e1+/-0.64e-29 y[1] (numeric) -0.71177032276260971508034488378848e1+/-0.1e-27 absolute error 0.391373031493e-20+/-0.106e-27 relative error 0.5498585976076598646721318390215223e-19+/-0.148e-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] 0.35e1+/-0.70e-99 y[1] (closed_form) -0.704688089718713434354820699030877e1+/-0.642e-29 y[1] (numeric) -0.704688089718713434355215030376277e1+/-0.1e-27 absolute error 0.3943313454e-20+/-0.106e-27 relative error 0.5595828156502590080787669443630746e-19+/-0.15e-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] 0.36e1+/-0.72e-99 y[1] (closed_form) -0.697676326071031057209129263838158e1+/-0.643e-29 y[1] (numeric) -0.697676326071031057209526524061751e1+/-0.1e-27 absolute error 0.397260223593e-20+/-0.106e-27 relative error 0.569404763710664560594130085227812e-19+/-0.151e-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+/-0.74e-99 y[1] (closed_form) -0.69073433063735465955493996423945e1+/-0.643e-29 y[1] (numeric) -0.690734330637354659555340124198409e1+/-0.1e-27 absolute error 0.400159958959e-20+/-0.106e-27 relative error 0.5793254239871995961502552666815555e-19+/-0.153e-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) -0.683861409212355858274401966285775e1+/-0.644e-29 y[1] (numeric) -0.683861409212355858274804997127252e1+/-0.1e-27 absolute error 0.403030841477e-20+/-0.106e-27 relative error 0.589345788558524976294210223875805e-19+/-0.155e-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) -0.677056874498164699875072387092414e1+/-0.646e-29 y[1] (numeric) -0.677056874498164699875478260250651e1+/-0.1e-27 absolute error 0.405873158237e-20+/-0.106e-27 relative error 0.599466859468539672293176863136882e-19+/-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] 0.4e1+/-0.80e-99 y[1] (closed_form) -0.670320046035639300744432925147825e1+/-0.649e-29 y[1] (numeric) -0.670320046035639300744841612341296e1+/-0.1e-27 absolute error 0.408687193471e-20+/-0.106e-27 relative error 0.6096896488297339197350953386283124e-19+/-0.158e-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) -0.663650250136319365910353537814745e1+/-0.648e-29 y[1] (numeric) -0.663650250136319365910765011043332e1+/-0.1e-27 absolute error 0.411473228587e-20+/-0.106e-27 relative error 0.6200151789326982457297351816944008e-19+/-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] 0.42e1+/-0.84e-99 y[1] (closed_form) -0.657046819815056781602673622339962e1+/-0.649e-29 y[1] (numeric) -0.657046819815056781603087853882152e1+/-0.1e-27 absolute error 0.41423154219e-20+/-0.106e-27 relative error 0.6304444823377981367969922949123703e-19+/-0.161e-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) -0.6505090947233165446190154984879e1+/-0.65e-29 y[1] (numeric) -0.650509094723316544619432460898016e1+/-0.1e-27 absolute error 0.416962410116e-20+/-0.106e-27 relative error 0.6409786019876450373429666028018281e-19+/-0.162e-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) -0.644036421083141358532184030008959e1+/-0.651e-29 y[1] (numeric) -0.644036421083141358532603696114409e1+/-0.1e-27 absolute error 0.41966610545e-20+/-0.106e-27 relative error 0.6516185912967545434433743589795836e-19+/-0.164e-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) -0.637628151621773293143743438312222e1+/-0.651e-29 y[1] (numeric) -0.637628151621773293144165781210788e1+/-0.1e-27 absolute error 0.422342898566e-20+/-0.106e-27 relative error 0.662365514276296143210242514451734e-19+/-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] 0.46e1+/-0.92e-99 y[1] (closed_form) -0.631283645506925969295234533961751e1+/-0.651e-29 y[1] (numeric) -0.631283645506925969295659527018898e1+/-0.1e-27 absolute error 0.424993057147e-20+/-0.106e-27 relative error 0.6732204456298358134238148058630325e-19+/-0.167e-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) -0.625002268282700796201573461929141e1+/-0.651e-29 y[1] (numeric) -0.62500226828270079620200107877535e1+/-0.1e-27 absolute error 0.427616846209e-20+/-0.106e-27 relative error 0.6841844708563209651267470746818382e-19+/-0.169e-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) -0.618783391806140852876961986910585e1+/-0.653e-29 y[1] (numeric) -0.618783391806140852877392201438717e1+/-0.1e-27 absolute error 0.430214528132e-20+/-0.106e-27 relative error 0.6952586863656196124422208079367813e-19+/-0.171e-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) -0.612626394184416068988579968019046e1+/-0.653e-29 y[1] (numeric) -0.612626394184416068989012754381736e1+/-0.1e-27 absolute error 0.43278636269e-20+/-0.106e-27 relative error 0.7064441995943784585797995270875666e-19+/-0.173e-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 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; Iterations 200 Total Elapsed Time 4 Minutes 32 Seconds Elapsed Time(since restart) 4 Minutes 32 Seconds Time to Timeout 15 Minutes 28 Seconds Percent Done 0.1005e3+/-0.155e-28%