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/diff0postode.ode################# diff ( y , x , 1 ) = y ; ! #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=false # 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(exp(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) 0.6737946999085467096636048423148585e-2+/-0.318e-32 y[1] (numeric) 0.6737946999085467096636048423148585e-2+/-0.384e-32 absolute error 0.0e0+/-0.702e-32 relative error 0.0e0+/-0.1041860376900087756016231371885635e-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) 0.7446583070924340518236046420128419e-2+/-0.104e-31 y[1] (numeric) 0.7446583070924340518206159555972073e-2+/-0.721e-32 absolute error 0.29886864156346e-22+/-0.176e-31 relative error 0.4013500403029299578809817273122385e-18+/-0.236e-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] -0.48e1+/-0.5e-30 y[1] (closed_form) 0.8229747049020028841362026766074481e-2+/-0.115e-31 y[1] (numeric) 0.8229747049020028841295966579878351e-2+/-0.108e-31 absolute error 0.6606018619613e-22+/-0.223e-31 relative error 0.8027000806057122895447891536467502e-18+/-0.27e-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] -0.47e1+/-0.5e-30 y[1] (closed_form) 0.9095277101695817092054074291388196e-2+/-0.126e-31 y[1] (numeric) 0.9095277101695817091944562596448248e-2+/-0.127e-31 absolute error 0.109511694939948e-21+/-0.253e-31 relative error 0.1204050120908680311155477077228868e-17+/-0.278e-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) 0.1005183574463358164213309433155018e-1+/-0.14e-31 y[1] (numeric) 0.1005183574463358164197172214430112e-1+/-0.15e-31 absolute error 0.16137218724906e-21+/-0.29e-31 relative error 0.1605400161211473127865995945295541e-17+/-0.288e-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) 0.1110899653824230649614313428693081e-1+/-0.153e-31 y[1] (numeric) 0.1110899653824230649592020447651338e-1+/-0.182e-31 absolute error 0.22292981041743e-21+/-0.335e-31 relative error 0.2006750201514623191435948488057829e-17+/-0.301e-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) 0.1227733990306844117893938623654192e-1+/-0.17e-31 y[1] (numeric) 0.1227733990306844117864373558464738e-1+/-0.245e-31 absolute error 0.29565065189454e-21+/-0.415e-31 relative error 0.2408100241817438487224213607048756e-17+/-0.338e-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) 0.1356855901220093175723057452576778e-1+/-0.187e-31 y[1] (numeric) 0.1356855901220093175684937260631984e-1+/-0.32e-31 absolute error 0.38120191944794e-21+/-0.507e-31 relative error 0.28094502821203112896894870726091e-17+/-0.373e-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) 0.1499557682047770621198436022872912e-1+/-0.207e-31 y[1] (numeric) 0.1499557682047770621150288219982798e-1+/-0.39e-31 absolute error 0.48147802890114e-21+/-0.597e-31 relative error 0.3210800322423354484908502296033739e-17+/-0.398e-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) 0.1657267540176124754198369808345138e-1+/-0.227e-31 y[1] (numeric) 0.1657267540176124754138506812881322e-1+/-0.454e-31 absolute error 0.59862995463816e-21+/-0.681e-31 relative error 0.3612150362726232425476269190397794e-17+/-0.41e-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) 0.1831563888873418029371802127324159e-1+/-0.252e-31 y[1] (numeric) 0.18315638888734180292982923032625e-1+/-0.545e-31 absolute error 0.73509824061659e-21+/-0.797e-31 relative error 0.4013500403028494514139448190933455e-17+/-0.435e-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) 0.20241911445804388472027543743654e-1+/-0.264e-31 y[1] (numeric) 0.2024191144580438847113389362645014e-1+/-0.652e-31 absolute error 0.89365011720386e-21+/-0.916e-31 relative error 0.4414850443331476850933257762678279e-17+/-0.452e-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) 0.2237077185616559577858332254082304e-1+/-0.291e-31 y[1] (numeric) 0.2237077185616559577750590131849366e-1+/-0.805e-31 absolute error 0.107742122232938e-20+/-0.109e-30 relative error 0.4816200483634329971913473281704614e-17+/-0.487e-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) 0.2472352647033939120275738298340313e-1+/-0.32e-31 y[1] (numeric) 0.2472352647033939120146742049851416e-1+/-0.96e-31 absolute error 0.128996248488897e-20+/-0.128e-30 relative error 0.52175505239373001651019530282427e-17+/-0.517e-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) 0.2732372244729256080156306243555355e-1+/-0.355e-31 y[1] (numeric) 0.2732372244729256080002776964079124e-1+/-0.108e-30 absolute error 0.153529279476231e-20+/-0.143e-30 relative error 0.5618900564240061355173916573081304e-17+/-0.523e-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) 0.3019738342231850073978629236362049e-1+/-0.39e-31 y[1] (numeric) 0.3019738342231850073796833420558214e-1+/-0.12e-30 absolute error 0.181795815803835e-20+/-0.159e-30 relative error 0.6020250604543174837751150271808345e-17+/-0.526e-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) 0.3337326996032607948240013147094865e-1+/-0.432e-31 y[1] (numeric) 0.3337326996032607948025703335197017e-1+/-0.134e-30 absolute error 0.214309811897848e-20+/-0.177e-30 relative error 0.6421600644845952271964550440519496e-17+/-0.53e-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) 0.3688316740124000544560370474151625e-1+/-0.474e-31 y[1] (numeric) 0.3688316740124000544308718441860876e-1+/-0.15e-30 absolute error 0.251652032290749e-20+/-0.197e-30 relative error 0.682295068514881680132845474793169e-17+/-0.534e-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) 0.4076220397836621516607926214442595e-1+/-0.526e-31 y[1] (numeric) 0.4076220397836621516313447794670669e-1+/-0.168e-30 absolute error 0.294478419771926e-20+/-0.22e-30 relative error 0.7224300725451817263609252054862685e-17+/-0.539e-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) 0.4504920239355780606833509217833624e-1+/-0.576e-31 y[1] (numeric) 0.4504920239355780606489979733104555e-1+/-0.189e-30 absolute error 0.343529484729069e-20+/-0.246e-30 relative error 0.7625650765754621242487087372782885e-17+/-0.546e-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) 0.497870683678639429793424156500625e-1+/-0.639e-31 y[1] (numeric) 0.4978706836786394297534600727086201e-1+/-0.215e-30 absolute error 0.399640837920049e-20+/-0.278e-30 relative error 0.8027000806056802404704467265709794e-17+/-0.558e-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) 0.5502322005640722902994653083417606e-1+/-0.667e-31 y[1] (numeric) 0.5502322005640722902530898080085749e-1+/-0.246e-30 absolute error 0.463755003331857e-20+/-0.312e-30 relative error 0.8428350846359720195667276070817118e-17+/-0.567e-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) 0.6081006262521796499562138818394175e-1+/-0.737e-31 y[1] (numeric) 0.6081006262521796499025204154514287e-1+/-0.276e-30 absolute error 0.536934663879888e-20+/-0.349e-30 relative error 0.8829700886662479971174021549327147e-17+/-0.573e-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) 0.6720551273974976512655170085596673e-1+/-0.81e-31 y[1] (numeric) 0.6720551273974976512034792574923216e-1+/-0.311e-30 absolute error 0.620377510673457e-20+/-0.392e-30 relative error 0.9231050926965473381202031578101997e-17+/-0.583e-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) 0.742735782143338804282105701699766e-1+/-0.897e-31 y[1] (numeric) 0.7427357821433388042105624130363441e-1+/-0.35e-30 absolute error 0.715432886634219e-20+/-0.439e-30 relative error 0.9632400967268186848962097958943558e-17+/-0.591e-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) 0.8208499862389879516952867446716117e-1+/-0.984e-31 y[1] (numeric) 0.8208499862389879516129247009067086e-1+/-0.394e-30 absolute error 0.823620437649031e-20+/-0.492e-30 relative error 0.100337510075712718582905868225518e-16+/-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] -0.24e1+/-0.5e-30 y[1] (closed_form) 0.907179532894125033751722200796929e-1+/-0.109e-30 y[1] (numeric) 0.9071795328941250336570570998537953e-1+/-0.456e-30 absolute error 0.946651009431337e-20+/-0.565e-30 relative error 0.1043510104787404410196391932290844e-16+/-0.622e-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) 0.1002588437228037337299406937979887e0+/-0.119e-30 y[1] (numeric) 0.1002588437228037337190761932363954e0+/-0.518e-30 absolute error 0.108645005615933e-19+/-0.637e-30 relative error 0.1083645108817685730807694188034735e-16+/-0.635e-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) 0.1108031583623338833341444258499412e0+/-0.132e-30 y[1] (numeric) 0.1108031583623338833216925872691075e0+/-0.608e-30 absolute error 0.124518385808337e-19+/-0.740e-30 relative error 0.112378011284798748875104844824225e-16+/-0.667e-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) 0.1224564282529819102186473760726283e0+/-0.145e-30 y[1] (numeric) 0.1224564282529819102043944872723717e0+/-0.698e-30 absolute error 0.142528888002566e-19+/-0.843e-30 relative error 0.1163915116878278781737556561807091e-16+/-0.688e-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) 0.1353352832366126918939994949724857e0+/-0.161e-30 y[1] (numeric) 0.1353352832366126918777044485580628e0+/-0.79e-30 absolute error 0.162950464144229e-19+/-0.951e-30 relative error 0.1204050120908495530441572341242245e-16+/-0.702e-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) 0.1495686192226350526410120691037364e0+/-0.167e-30 y[1] (numeric) 0.1495686192226350526224029639842927e0+/-0.909e-30 absolute error 0.186091051194437e-19+/-0.107e-29 relative error 0.1244185124938793338822547842799041e-16+/-0.715e-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) 0.1652988882215865382968047204322156e0+/-0.184e-30 y[1] (numeric) 0.1652988882215865382755750514882963e0+/-0.101e-29 absolute error 0.212296689439193e-19+/-0.119e-29 relative error 0.1284320128969076601149528181159545e-16+/-0.719e-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) 0.1826835240527346502239008377589418e0+/-0.203e-30 y[1] (numeric) 0.1826835240527346501997052246443358e0+/-0.111e-29 absolute error 0.24195613114606e-19+/-0.131e-29 relative error 0.1324455132999379417620757427155137e-16+/-0.717e-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) 0.2018965179946554084851792676433516e0+/-0.224e-30 y[1] (numeric) 0.201896517994655408457628667927738e0+/-0.124e-29 absolute error 0.275505997156136e-19+/-0.146e-29 relative error 0.1364590137029649896525589050933434e-16+/-0.723e-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) 0.2231301601484298289332804707640151e0+/-0.246e-30 y[1] (numeric) 0.2231301601484298289019368161950915e0+/-0.14e-29 absolute error 0.313436545689236e-19+/-0.164e-29 relative error 0.1404725141059966468065952619389105e-16+/-0.734e-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) 0.2465969639416064769398612398337703e0+/-0.274e-30 y[1] (numeric) 0.2465969639416064769042314273238219e0+/-0.156e-29 absolute error 0.356298125099484e-19+/-0.183e-29 relative error 0.1444860145090247235164674560801166e-16+/-0.742e-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) 0.2725317930340126031223331675633525e0+/-0.299e-30 y[1] (numeric) 0.2725317930340126030818623284996895e0+/-0.174e-29 absolute error 0.40470839063663e-19+/-0.203e-29 relative error 0.1484995149120533798984595255420079e-16+/-0.744e-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) 0.3011942119122020966449776070832261e0+/-0.333e-30 y[1] (numeric) 0.3011942119122020965990415696290459e0+/-0.196e-29 absolute error 0.459360374541802e-19+/-0.229e-29 relative error 0.152513015315083554723212131389156e-16+/-0.76e-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] -0.11e1+/-0.5e-30 y[1] (closed_form) 0.3328710836980795532888469064313193e0+/-0.364e-30 y[1] (numeric) 0.332871083698079553236743755516747e0+/-0.218e-29 absolute error 0.521031509145723e-19+/-0.254e-29 relative error 0.1565265157181116265050904464584377e-16+/-0.763e-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] -0.1e1+/-0.5e-30 y[1] (closed_form) 0.3678794411714423215955237701614626e0+/-0.404e-30 y[1] (numeric) 0.3678794411714423215364643987451656e0+/-0.242e-29 absolute error 0.59059371416297e-19+/-0.282e-29 relative error 0.1605400161211336812029406907820496e-16+/-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] -0.9e0+/-0.5e-30 y[1] (closed_form) 0.4065696597405991118834542396456282e0+/-0.218e-30 y[1] (numeric) 0.4065696597405991118165517724232802e0+/-0.27e-29 absolute error 0.66902467222348e-19+/-0.291e-29 relative error 0.1645535165241629892625745058638673e-16+/-0.715e-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] -0.8e0+/-0.5e-30 y[1] (closed_form) 0.4493289641172215914301023850155649e0+/-0.24e-30 y[1] (numeric) 0.4493289641172215913543603419153401e0+/-0.304e-29 absolute error 0.757420431002248e-19+/-0.328e-29 relative error 0.1685670169271908009321421957985021e-16+/-0.729e-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] -0.7e0+/-0.5e-30 y[1] (closed_form) 0.4965853037914095147048000933975319e0+/-0.261e-30 y[1] (numeric) 0.4965853037914095146190991447706257e0+/-0.343e-29 absolute error 0.857009486269062e-19+/-0.369e-29 relative error 0.1725805173302205774949944310352521e-16+/-0.743e-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] -0.6e0+/-0.5e-30 y[1] (closed_form) 0.5488116360940264326284589172325704e0+/-0.293e-30 y[1] (numeric) 0.5488116360940264325315420654359691e0+/-0.382e-29 absolute error 0.969168517966013e-19+/-0.411e-29 relative error 0.1765940177332479052776787089129421e-16+/-0.748e-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] -0.5e0+/-0.5e-30 y[1] (closed_form) 0.6065306597126334236037995349911847e0+/-0.321e-30 y[1] (numeric) 0.606530659712633423494255537866926e0+/-0.429e-29 absolute error 0.1095439971242587e-18+/-0.461e-29 relative error 0.1806075181362789873775501747151835e-16+/-0.76e-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] -0.4e0+/-0.5e-30 y[1] (closed_form) 0.6703200460356393007444329251478302e0+/-0.352e-30 y[1] (numeric) 0.6703200460356393006206777555014155e0+/-0.486e-29 absolute error 0.1237551696464147e-18+/-0.521e-29 relative error 0.1846210185393067239354708496941753e-16+/-0.777e-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] -0.3e0+/-0.5e-30 y[1] (closed_form) 0.7408182206817178660668737793178214e0+/-0.386e-30 y[1] (numeric) 0.7408182206817178659271298906358088e0+/-0.543e-29 absolute error 0.1397438886820126e-18+/-0.581e-29 relative error 0.1886345189423352442385662936983686e-16+/-0.784e-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] -0.2e0+/-0.5e-30 y[1] (closed_form) 0.8187307530779818586699355086190455e0+/-0.424e-30 y[1] (numeric) 0.8187307530779818585122086506614332e0+/-0.606e-29 absolute error 0.1577268579576123e-18+/-0.648e-29 relative error 0.1926480193453649949586866748370109e-16+/-0.791e-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] -0.1e0+/-0.5e-30 y[1] (closed_form) 0.9048374180359595731642490594464428e0+/-0.464e-30 y[1] (numeric) 0.9048374180359595729863023576902791e0+/-0.69e-29 absolute error 0.1779467017561637e-18+/-0.736e-29 relative error 0.1966615197483928938182077417736512e-16+/-0.813e-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] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) 0.1e1+/-0.5e-30 y[1] (numeric) 0.9999999999999999997993249798485854e0+/-0.782e-29 absolute error 0.2006750201514146e-18+/-0.832e-29 relative error 0.2006750201514146e-16+/-0.832e-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] 0.1e0+/-0.2e-100 y[1] (closed_form) 0.1105170918075647624811707826490239e1+/-0.164e-31 y[1] (numeric) 0.1105170918075647624585492026309546e1+/-0.89e-29 absolute error 0.226215800180693e-18+/-0.891e-29 relative error 0.2046885205544368111881807755356922e-16+/-0.806e-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] 0.2e0+/-0.4e-100 y[1] (closed_form) 0.1221402758160169833921071994639665e1+/-0.238e-31 y[1] (numeric) 0.1221402758160169833666162770608615e1+/-0.994e-29 absolute error 0.25490922403105e-18+/-0.996e-29 relative error 0.2087020209574655569627022693438277e-16+/-0.815e-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] 0.3e0+/-0.6e-100 y[1] (closed_form) 0.1349858807576003103983744313327999e1+/-0.322e-31 y[1] (numeric) 0.1349858807576003103696608393311412e1+/-0.109e-28 absolute error 0.287135920016587e-18+/-0.109e-28 relative error 0.2127155213604960384799962383927508e-16+/-0.807e-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] 0.4e0+/-0.8e-100 y[1] (closed_form) 0.1491824697641270317824852952837213e1+/-0.419e-31 y[1] (numeric) 0.1491824697641270317501531245474754e1+/-0.119e-28 absolute error 0.323321707362459e-18+/-0.119e-28 relative error 0.2167290217635250151190082094143261e-16+/-0.797e-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] 0.5e0+/-0.10e-99 y[1] (closed_form) 0.1648721270700128146848650787814152e1+/-0.529e-31 y[1] (numeric) 0.1648721270700128146484707896170161e1+/-0.131e-28 absolute error 0.363942891643991e-18+/-0.131e-28 relative error 0.2207425221665533234885929524491818e-16+/-0.794e-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] 0.6e0+/-0.12e-99 y[1] (closed_form) 0.1822118800390508974875367668162856e1+/-0.654e-31 y[1] (numeric) 0.1822118800390508974465835493937823e1+/-0.144e-28 absolute error 0.409532174225033e-18+/-0.144e-28 relative error 0.2247560225695842422729443648576206e-16+/-0.79e-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] 0.7e0+/-0.14e-99 y[1] (closed_form) 0.2013752707470476521624549388583053e1+/-0.797e-31 y[1] (numeric) 0.2013752707470476521163864142310227e1+/-0.159e-28 absolute error 0.460685246272826e-18+/-0.159e-28 relative error 0.2287695229726116070607165406665167e-16+/-0.789e-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] 0.8e0+/-0.16e-99 y[1] (closed_form) 0.2225540928492467604579537531395066e1+/-0.96e-31 y[1] (numeric) 0.2225540928492467604061469385414357e1+/-0.177e-28 absolute error 0.518068145980709e-18+/-0.177e-28 relative error 0.2327830233756415114965773094749138e-16+/-0.795e-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] 0.9e0+/-0.18e-99 y[1] (closed_form) 0.2459603111156949663800126563602457e1+/-0.113e-30 y[1] (numeric) 0.245960311115694966321770109700529e1+/-0.197e-28 absolute error 0.582425466597167e-18+/-0.198e-28 relative error 0.2367965237786698608562213230613874e-16+/-0.805e-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] 0.1e1+/-0.20e-99 y[1] (closed_form) 0.2718281828459045235360287471352649e1+/-0.269e-30 y[1] (numeric) 0.2718281828459045234705697958508752e1+/-0.219e-28 absolute error 0.654589512843897e-18+/-0.221e-28 relative error 0.2408100241816994943956176269618897e-16+/-0.813e-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] 0.11e1+/-0.22e-99 y[1] (closed_form) 0.3004166023946433112058407953588636e1+/-0.326e-30 y[1] (numeric) 0.3004166023946433111322917439168403e1+/-0.243e-28 absolute error 0.735490514420233e-18+/-0.246e-28 relative error 0.2448235245847209655769994665957131e-16+/-0.818e-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+/-0.24e-99 y[1] (closed_form) 0.3320116922736547489530767429601602e1+/-0.376e-30 y[1] (numeric) 0.332011692273654748870459941193636e1+/-0.27e-28 absolute error 0.826168017665242e-18+/-0.273e-28 relative error 0.2488370249877488242093206498296524e-16+/-0.822e-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+/-0.26e-99 y[1] (closed_form) 0.3669296667619244220457489916011445e1+/-0.432e-30 y[1] (numeric) 0.3669296667619244219529706325789285e1+/-0.299e-28 absolute error 0.92778359022216e-18+/-0.303e-28 relative error 0.2528505253907788681705197152876563e-16+/-0.825e-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+/-0.28e-99 y[1] (closed_form) 0.4055199966844674587224108895228574e1+/-0.495e-30 y[1] (numeric) 0.4055199966844674586182473906345937e1+/-0.336e-28 absolute error 0.1041634988882637e-17+/-0.34e-28 relative error 0.2568640257938072997705023552626829e-16+/-0.838e-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+/-0.30e-99 y[1] (closed_form) 0.4481689070338064822602055460119222e1+/-0.565e-30 y[1] (numeric) 0.4481689070338064821432883502266033e1+/-0.375e-28 absolute error 0.1169171957853189e-17+/-0.38e-28 relative error 0.2608775261968353117779774477508015e-16+/-0.847e-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+/-0.32e-99 y[1] (closed_form) 0.4953032424395114803654286356423916e1+/-0.643e-30 y[1] (numeric) 0.495303242439511480234227251274347e1+/-0.418e-28 absolute error 0.1312013843680446e-17+/-0.424e-28 relative error 0.2648910265998661740307661535667857e-16+/-0.856e-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+/-0.34e-99 y[1] (closed_form) 0.5473947391727199760790862663009036e1+/-0.731e-30 y[1] (numeric) 0.5473947391727199759318893428797911e1+/-0.465e-28 absolute error 0.1471969234211125e-17+/-0.472e-28 relative error 0.268904527002893457710966847676509e-16+/-0.862e-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+/-0.36e-99 y[1] (closed_form) 0.6049647464412946083731023953027666e1+/-0.829e-30 y[1] (numeric) 0.6049647464412946082079966100538839e1+/-0.518e-28 absolute error 0.1651057852488827e-17+/-0.526e-28 relative error 0.2729180274059233295851316229362866e-16+/-0.869e-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+/-0.38e-99 y[1] (closed_form) 0.6685894442279269416072530727692791e1+/-0.936e-30 y[1] (numeric) 0.6685894442279269414220995765023018e1+/-0.578e-28 absolute error 0.1851534962669773e-17+/-0.587e-28 relative error 0.2769315278089510845341462281220566e-16+/-0.877e-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+/-0.40e-99 y[1] (closed_form) 0.7389056098930650227230427460574934e1+/-0.142e-29 y[1] (numeric) 0.7389056098930650225154508886400958e1+/-0.644e-28 absolute error 0.2075918574173976e-17+/-0.658e-28 relative error 0.2809450282119802151832657204449532e-16+/-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+/-0.42e-99 y[1] (closed_form) 0.8166169912567650073449727410478493e1+/-0.164e-29 y[1] (numeric) 0.8166169912567650071122707647773117e1+/-0.718e-28 absolute error 0.2327019762705376e-17+/-0.734e-28 relative error 0.2849585286150018660426775529328407e-16+/-0.898e-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+/-0.44e-99 y[1] (closed_form) 0.9025013499434120926471777166888506e1+/-0.186e-29 y[1] (numeric) 0.9025013499434120923863800704041918e1+/-0.802e-28 absolute error 0.2607976462846588e-17+/-0.82e-28 relative error 0.2889720290180298593521542611492379e-16+/-0.908e-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+/-0.46e-99 y[1] (closed_form) 0.9974182454814720739957615156908696e1+/-0.21e-29 y[1] (numeric) 0.9974182454814720737035324029842561e1+/-0.898e-28 absolute error 0.2922291127066135e-17+/-0.919e-28 relative error 0.2929855294210596172710839286523161e-16+/-0.921e-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+/-0.48e-99 y[1] (closed_form) 0.1102317638064160165223793976966762e2+/-0.237e-29 y[1] (numeric) 0.1102317638064160164896406707903726e2+/-0.102e-27 absolute error 0.327387269063036e-17+/-0.104e-27 relative error 0.2969990298240882299800232209931499e-16+/-0.943e-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+/-0.50e-99 y[1] (closed_form) 0.1218249396070347343807017595116775e2+/-0.267e-29 y[1] (numeric) 0.1218249396070347343440309261957984e2+/-0.112e-27 absolute error 0.366708333158791e-17+/-0.114e-27 relative error 0.3010125302271158015381382619331699e-16+/-0.935e-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+/-0.52e-99 y[1] (closed_form) 0.1346373803500169039775082533258391e2+/-0.3e-29 y[1] (numeric) 0.134637380350016903936440347623232e2+/-0.123e-27 absolute error 0.410679057026071e-17+/-0.126e-27 relative error 0.3050260306301476835503417175148223e-16+/-0.935e-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+/-0.54e-99 y[1] (closed_form) 0.1487973172487283411186899301946815e2+/-0.337e-29 y[1] (numeric) 0.1487973172487283410727056770531398e2+/-0.135e-27 absolute error 0.459842531415417e-17+/-0.138e-27 relative error 0.3090395310331758878825769760353936e-16+/-0.927e-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+/-0.56e-99 y[1] (closed_form) 0.1644464677109704987149801601092477e2+/-0.378e-29 y[1] (numeric) 0.1644464677109704986634996948833521e2+/-0.148e-27 absolute error 0.514804652258956e-17+/-0.151e-27 relative error 0.3130530314362067147089499361119719e-16+/-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] 0.29e1+/-0.58e-99 y[1] (closed_form) 0.1817414536944306094267625657412778e2+/-0.423e-29 y[1] (numeric) 0.1817414536944306093691384333269638e2+/-0.163e-27 absolute error 0.57624132414314e-17+/-0.167e-27 relative error 0.31706653183923480058261755340439e-16+/-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] 0.3e1+/-0.60e-99 y[1] (closed_form) 0.2008553692318766774092852965458141e2+/-0.575e-29 y[1] (numeric) 0.2008553692318766773447946481168112e2+/-0.18e-27 absolute error 0.644906484290029e-17+/-0.185e-27 relative error 0.321080032242264477088474134273041e-16+/-0.921e-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+/-0.62e-99 y[1] (closed_form) 0.2219795128144163340482797438125675e2+/-0.657e-29 y[1] (numeric) 0.2219795128144163339761156398168493e2+/-0.2e-27 absolute error 0.721641039957182e-17+/-0.206e-27 relative error 0.3250935326452862772318428884783649e-16+/-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] 0.32e1+/-0.64e-99 y[1] (closed_form) 0.2453253019710934864356026372796363e2+/-0.737e-29 y[1] (numeric) 0.2453253019710934863548643550162479e2+/-0.222e-27 absolute error 0.807382822633884e-17+/-0.229e-27 relative error 0.3291070330483145065687096328017942e-16+/-0.933e-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+/-0.66e-99 y[1] (closed_form) 0.2711263892065788742681837211023063e2+/-0.827e-29 y[1] (numeric) 0.2711263892065788741778659536970739e2+/-0.247e-27 absolute error 0.903177674052324e-17+/-0.255e-27 relative error 0.3331205334513444768521016961916123e-16+/-0.94e-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+/-0.68e-99 y[1] (closed_form) 0.2996410004739701334816275303372955e2+/-0.927e-29 y[1] (numeric) 0.2996410004739701333806083511393458e2+/-0.274e-27 absolute error 0.1010191791979497e-16+/-0.283e-27 relative error 0.337134033854373189826636556640456e-16+/-0.944e-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+/-0.70e-99 y[1] (closed_form) 0.3311545195869231375065324935038787e2+/-0.103e-28 y[1] (numeric) 0.3311545195869231373935599456886057e2+/-0.305e-27 absolute error 0.112972547815273e-16+/-0.315e-27 relative error 0.341147534257400904865891273763265e-16+/-0.951e-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+/-0.72e-99 y[1] (closed_form) 0.3659823444367798775259476589918292e2+/-0.116e-28 y[1] (numeric) 0.3659823444367798773996248143185797e2+/-0.338e-27 absolute error 0.1263228446732495e-16+/-0.349e-27 relative error 0.3451610346604318856274858605580625e-16+/-0.953e-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+/-0.74e-99 y[1] (closed_form) 0.4044730436006739052889418923903826e2+/-0.129e-28 y[1] (numeric) 0.4044730436006739051477102054454151e2+/-0.376e-27 absolute error 0.1412316869449675e-16+/-0.388e-27 relative error 0.3491745350634590211639431704085376e-16+/-0.959e-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+/-0.76e-99 y[1] (closed_form) 0.4470118449330082303755782872906442e2+/-0.145e-28 y[1] (numeric) 0.4470118449330082302176990519485042e2+/-0.419e-27 absolute error 0.15787923534214e-16+/-0.433e-27 relative error 0.3531880354664890177710461286187899e-16+/-0.968e-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+/-0.78e-99 y[1] (closed_form) 0.4940244910553017387976148654121931e2+/-0.161e-28 y[1] (numeric) 0.4940244910553017386211485584500829e2+/-0.466e-27 absolute error 0.1764663069621102e-16+/-0.482e-27 relative error 0.3572015358695169101752834328396151e-16+/-0.975e-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+/-0.80e-99 y[1] (closed_form) 0.5459815003314423907811026120285977e2+/-0.207e-28 y[1] (numeric) 0.5459815003314423905838858845822366e2+/-0.519e-27 absolute error 0.1972167274463611e-16+/-0.539e-27 relative error 0.3612150362725460932133133139927382e-16+/-0.987e-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+/-0.82e-99 y[1] (closed_form) 0.6034028759736196949748721970812278e2+/-0.234e-28 y[1] (numeric) 0.6034028759736196947544922476635536e2+/-0.578e-27 absolute error 0.2203799494176742e-16+/-0.601e-27 relative error 0.3652285366755677183769050400562427e-16+/-0.996e-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+/-0.84e-99 y[1] (closed_form) 0.6668633104092514164502173465399017e2+/-0.262e-28 y[1] (numeric) 0.6668633104092514162039833793514138e2+/-0.644e-27 absolute error 0.2462339671884879e-16+/-0.67e-27 relative error 0.3692420370785957219817971801790891e-16+/-0.1e-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+/-0.86e-99 y[1] (closed_form) 0.7369979369959579691176195117065058e2+/-0.293e-28 y[1] (numeric) 0.7369979369959579688425309506102304e2+/-0.717e-27 absolute error 0.2750885610962754e-16+/-0.746e-27 relative error 0.37325553748162542062790096767968e-16+/-0.101e-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+/-0.88e-99 y[1] (closed_form) 0.8145086866496811744440081172617889e2+/-0.327e-28 y[1] (numeric) 0.8145086866496811741367192087007706e2+/-0.807e-27 absolute error 0.3072889085610183e-16+/-0.839e-27 relative error 0.3772690378846539500080138248675773e-16+/-0.103e-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+/-0.90e-99 y[1] (closed_form) 0.900171313005218135501154567455719e2+/-0.365e-28 y[1] (numeric) 0.9001713130052181351579349643393342e2+/-0.899e-27 absolute error 0.3432196031163848e-16+/-0.935e-27 relative error 0.3812825382876817093714590774228407e-16+/-0.103e-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+/-0.92e-99 y[1] (closed_form) 0.9948431564193380873545405348756417e2+/-0.407e-28 y[1] (numeric) 0.9948431564193380869712314075887059e2+/-0.1e-26 absolute error 0.3833091272869358e-16+/-0.104e-26 relative error 0.3852960386907124644984295261385926e-16+/-0.104e-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+/-0.94e-99 y[1] (closed_form) 0.1099471724521234988797287004553635e3+/-0.454e-28 y[1] (numeric) 0.1099471724521234988369252174233674e3+/-0.11e-26 absolute error 0.428034830319961e-16+/-0.114e-26 relative error 0.3893095390937395737444155372712436e-16+/-0.103e-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+/-0.96e-99 y[1] (closed_form) 0.1215104175187348807570481162978809e3+/-0.507e-28 y[1] (numeric) 0.1215104175187348807092552695488905e3+/-0.12e-26 absolute error 0.477928467489904e-16+/-0.125e-26 relative error 0.3933230394967702234751047853821572e-16+/-0.102e-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] 0.49e1+/-0.98e-99 y[1] (closed_form) 0.1342897796849354848400586277743484e3+/-0.564e-28 y[1] (numeric) 0.1342897796849354847867003913704299e3+/-0.132e-26 absolute error 0.533582364039185e-16+/-0.137e-26 relative error 0.3973365398997983636495545042072943e-16+/-0.102e-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 Finished! diff ( y , x , 1 ) = y ; Iterations 200 Total Elapsed Time 2 Minutes 14 Seconds Elapsed Time(since restart) 2 Minutes 14 Seconds Time to Timeout 17 Minutes 46 Seconds Percent Done 0.1005e3+/-0.155e-28%