Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/mult_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) * ( 0.2 * x + 0.3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.06) * c(x) + c(2.0)/c(300.0) * c(x) * c(x) * c(x) + c(0.035) * c(x) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-33 y[1] (closed_form) 0.635666666666666666666666666666666666e-2+/-0.886e-34 y[1] (numeric) 0.635666666666666666666666666666666666e-2+/-0.948e-34 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1834e-33 relative error 0.0e0+/-0.288515993707393812270582066072373014e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.703237333333333333333333333333333333e-2+/-0.434e-33 y[1] (numeric) 0.703237333333333333333332666666666666e-2+/-0.47e-33 absolute error 0.666666666667e-26+/-0.904e-33 relative error 0.947996693388007462629970346663430838e-22+/-0.128e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.771551999999999999999999999999999999e-2+/-0.788e-33 y[1] (numeric) 0.771551999999999999999998666666666666e-2+/-0.845e-33 absolute error 0.1333333333333e-25+/-0.163e-32 relative error 0.17281185627579216954916842934760068e-21+/-0.211e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.840614666666666666666666666666666666e-2+/-0.114e-32 y[1] (numeric) 0.840614666666666666666664666666666666e-2+/-0.118e-32 absolute error 0.2e-25+/-0.232e-32 relative error 0.2379211402449953288149465232583776e-21+/-0.275e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.910429333333333333333333333333333333e-2+/-0.151e-32 y[1] (numeric) 0.910429333333333333333330666666666666e-2+/-0.148e-32 absolute error 0.2666666666667e-25+/-0.299e-32 relative error 0.292902103330040625521731871556569647e-21+/-0.328e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.980999999999999999999999999999999999e-2+/-0.188e-32 y[1] (numeric) 0.980999999999999999999996666666666666e-2+/-0.178e-32 absolute error 0.3333333333333e-25+/-0.366e-32 relative error 0.339789330614984709480122324159021407e-21+/-0.373e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.105233066666666666666666666666666666e-1+/-0.227e-32 y[1] (numeric) 0.105233066666666666666666266666666666e-1+/-0.208e-32 absolute error 0.4e-25+/-0.435e-32 relative error 0.380108660395718456049302627311060657e-21+/-0.413e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.112442533333333333333333333333333333e-1+/-0.266e-32 y[1] (numeric) 0.112442533333333333333332866666666666e-1+/-0.238e-32 absolute error 0.466666666667e-25+/-0.504e-32 relative error 0.415026816661607292139747829706196588e-21+/-0.448e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.119728799999999999999999999999999999e-1+/-0.306e-32 y[1] (numeric) 0.119728799999999999999999466666666666e-1+/-0.268e-32 absolute error 0.533333333333e-25+/-0.574e-32 relative error 0.445451164074976112681326464476383296e-21+/-0.479e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.127092266666666666666666666666666666e-1+/-0.347e-32 y[1] (numeric) 0.127092266666666666666666066666666666e-1+/-0.308e-32 absolute error 0.6e-25+/-0.655e-32 relative error 0.472097961376092119950650026437485839e-21+/-0.515e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.505e-31 y[1] (closed_form) 0.134533333333333333333333333333333333e-1+/-0.389e-32 y[1] (numeric) 0.134533333333333333333332666666666666e-1+/-0.348e-32 absolute error 0.666666666667e-25+/-0.737e-32 relative error 0.495540138751486620416253716551040635e-21+/-0.547e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.142052399999999999999999999999999999e-1+/-0.43e-32 y[1] (numeric) 0.142052399999999999999999266666666666e-1+/-0.388e-32 absolute error 0.733333333333e-25+/-0.818e-32 relative error 0.516241424525738389495707217899873571e-21+/-0.575e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) 0.149649866666666666666666666666666666e-1+/-0.474e-32 y[1] (numeric) 0.149649866666666666666665866666666666e-1+/-0.428e-32 absolute error 0.8e-25+/-0.902e-32 relative error 0.534581164567247637596736916571481522e-21+/-0.602e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) 0.157326133333333333333333333333333333e-1+/-0.517e-32 y[1] (numeric) 0.157326133333333333333332466666666666e-1+/-0.468e-32 absolute error 0.866666666667e-25+/-0.985e-32 relative error 0.55087266705446689933268132609458399e-21+/-0.626e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) 0.165081599999999999999999999999999999e-1+/-0.564e-32 y[1] (numeric) 0.165081599999999999999999066666666666e-1+/-0.508e-32 absolute error 0.933333333333e-25+/-0.107e-31 relative error 0.565376961050171551523610141893463599e-21+/-0.648e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) 0.172916666666666666666666666666666666e-1+/-0.609e-32 y[1] (numeric) 0.172916666666666666666665666666666666e-1+/-0.548e-32 absolute error 0.1e-24+/-0.115e-31 relative error 0.578313253012048192771084337349397592e-21+/-0.665e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) 0.180831733333333333333333333333333333e-1+/-0.655e-32 y[1] (numeric) 0.180831733333333333333332266666666666e-1+/-0.588e-32 absolute error 0.1066666666667e-24+/-0.124e-31 relative error 0.589866970251718356217714000050138693e-21+/-0.685e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) 0.188827199999999999999999999999999999e-1+/-0.703e-32 y[1] (numeric) 0.188827199999999999999998866666666666e-1+/-0.628e-32 absolute error 0.1133333333333e-24+/-0.133e-31 relative error 0.600196016957832346187413677690502218e-21+/-0.704e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.905e-31 y[1] (closed_form) 0.196903466666666666666666666666666666e-1+/-0.752e-32 y[1] (numeric) 0.196903466666666666666665466666666666e-1+/-0.668e-32 absolute error 0.12e-24+/-0.142e-31 relative error 0.60943568963742639371170712416778171e-21+/-0.721e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.955e-31 y[1] (closed_form) 0.205060933333333333333333333333333333e-1+/-0.800e-32 y[1] (numeric) 0.205060933333333333333332066666666666e-1+/-0.715e-32 absolute error 0.1266666666667e-24+/-0.151e-31 relative error 0.617702575559817342097340822922877558e-21+/-0.736e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.213299999999999999999999999999999999e-1+/-0.846e-32 y[1] (numeric) 0.213299999999999999999998666666666666e-1+/-0.765e-32 absolute error 0.1333333333333e-24+/-0.161e-31 relative error 0.625097671511017346460384435067979374e-21+/-0.754e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.1e-30 y[1] (closed_form) 0.221621066666666666666666666666666666e-1+/-0.855e-32 y[1] (numeric) 0.221621066666666666666665266666666666e-1+/-0.823e-32 absolute error 0.14e-24+/-0.167e-31 relative error 0.631708898913340368364499644438134042e-21+/-0.753e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.1e-30 y[1] (closed_form) 0.230024533333333333333333333333333333e-1+/-0.865e-32 y[1] (numeric) 0.230024533333333333333331866666666666e-1+/-0.883e-32 absolute error 0.1466666666667e-24+/-0.174e-31 relative error 0.637613147351383968318741653064252857e-21+/-0.756e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.1e-30 y[1] (closed_form) 0.238510799999999999999999999999999999e-1+/-0.873e-32 y[1] (numeric) 0.238510799999999999999998466666666666e-1+/-0.943e-32 absolute error 0.1533333333333e-24+/-0.181e-31 relative error 0.642877946547074597879844434717421603e-21+/-0.758e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.1e-30 y[1] (closed_form) 0.247080266666666666666666666666666666e-1+/-0.883e-32 y[1] (numeric) 0.247080266666666666666665066666666666e-1+/-0.1e-31 absolute error 0.16e-24+/-0.188e-31 relative error 0.64756284327576139899476661295492639e-21+/-0.76e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e0+/-0.1e-30 y[1] (closed_form) 0.255733333333333333333333333333333333e-1+/-0.891e-32 y[1] (numeric) 0.255733333333333333333331666666666666e-1+/-0.1e-31 absolute error 0.1666666666667e-24+/-0.189e-31 relative error 0.651720542231621480709071949947862357e-21+/-0.739e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36e0+/-0.1e-30 y[1] (closed_form) 0.264470399999999999999999999999999999e-1+/-0.901e-32 y[1] (numeric) 0.264470399999999999999998266666666666e-1+/-0.1e-31 absolute error 0.1733333333333e-24+/-0.19e-31 relative error 0.655397856748051955908865415562573356e-21+/-0.718e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37e0+/-0.1e-30 y[1] (closed_form) 0.273291866666666666666666666666666666e-1+/-0.910e-32 y[1] (numeric) 0.273291866666666666666664866666666666e-1+/-0.1e-31 absolute error 0.18e-24+/-0.191e-31 relative error 0.658636505343005695010316199189242857e-21+/-0.698e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38e0+/-0.1e-30 y[1] (closed_form) 0.282198133333333333333333333333333333e-1+/-0.920e-32 y[1] (numeric) 0.282198133333333333333331466666666666e-1+/-0.1e-31 absolute error 0.1866666666667e-24+/-0.192e-31 relative error 0.661473782486749262692973164008644518e-21+/-0.68e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39e0+/-0.1e-30 y[1] (closed_form) 0.291189599999999999999999999999999999e-1+/-0.929e-32 y[1] (numeric) 0.291189599999999999999998066666666666e-1+/-0.1e-31 absolute error 0.1933333333333e-24+/-0.192e-31 relative error 0.663943126173805657894375348570141243e-21+/-0.659e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.300266666666666666666666666666666666e-1+/-0.939e-32 y[1] (numeric) 0.300266666666666666666664666666666666e-1+/-0.1e-31 absolute error 0.2e-24+/-0.193e-31 relative error 0.666074600355239786856127886323268207e-21+/-0.642e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41e0+/-0.1e-30 y[1] (closed_form) 0.309429733333333333333333333333333333e-1+/-0.948e-32 y[1] (numeric) 0.309429733333333333333331266666666666e-1+/-0.1e-31 absolute error 0.2066666666667e-24+/-0.194e-31 relative error 0.667895306764422121899080588247714182e-21+/-0.626e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42e0+/-0.1e-30 y[1] (closed_form) 0.318679199999999999999999999999999999e-1+/-0.958e-32 y[1] (numeric) 0.318679199999999999999997866666666666e-1+/-0.1e-31 absolute error 0.2133333333333e-24+/-0.195e-31 relative error 0.669429737909785138157746097015431194e-21+/-0.611e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43e0+/-0.1e-30 y[1] (closed_form) 0.328015466666666666666666666666666666e-1+/-0.967e-32 y[1] (numeric) 0.328015466666666666666664466666666666e-1+/-0.1e-31 absolute error 0.22e-24+/-0.196e-31 relative error 0.670700080809197615071809621985304759e-21+/-0.597e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44e0+/-0.1e-30 y[1] (closed_form) 0.337438933333333333333333333333333333e-1+/-0.977e-32 y[1] (numeric) 0.337438933333333333333331066666666666e-1+/-0.1e-31 absolute error 0.2266666666667e-24+/-0.197e-31 relative error 0.671726479299859490625859414760280576e-21+/-0.583e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45e0+/-0.1e-30 y[1] (closed_form) 0.346949999999999999999999999999999999e-1+/-0.986e-32 y[1] (numeric) 0.346949999999999999999997666666666666e-1+/-0.1e-31 absolute error 0.2333333333333e-24+/-0.198e-31 relative error 0.6725272613728202911082288514195129e-21+/-0.57e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46e0+/-0.1e-30 y[1] (closed_form) 0.356549066666666666666666666666666666e-1+/-0.997e-32 y[1] (numeric) 0.356549066666666666666664266666666666e-1+/-0.1e-31 absolute error 0.24e-24+/-0.199e-31 relative error 0.673119136851851713349971841182775032e-21+/-0.558e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47e0+/-0.1e-30 y[1] (closed_form) 0.366236533333333333333333333333333333e-1+/-0.1e-31 y[1] (numeric) 0.366236533333333333333330866666666666e-1+/-0.1e-31 absolute error 0.2466666666667e-24+/-0.2e-31 relative error 0.673517369831027234129928417845807482e-21+/-0.546e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48e0+/-0.1e-30 y[1] (closed_form) 0.376012799999999999999999999999999999e-1+/-0.101e-31 y[1] (numeric) 0.376012799999999999999997466666666666e-1+/-0.1e-31 absolute error 0.2533333333333e-24+/-0.201e-31 relative error 0.673735929556919338916122004357298476e-21+/-0.534e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49e0+/-0.1e-30 y[1] (closed_form) 0.385878266666666666666666666666666666e-1+/-0.102e-31 y[1] (numeric) 0.385878266666666666666664066666666666e-1+/-0.1e-31 absolute error 0.26e-24+/-0.202e-31 relative error 0.673787622832347472622626755864630193e-21+/-0.523e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.395833333333333333333333333333333333e-1+/-0.103e-31 y[1] (numeric) 0.395833333333333333333330666666666666e-1+/-0.1e-31 absolute error 0.2666666666667e-24+/-0.203e-31 relative error 0.6736842105264e-21+/-0.512e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.51e0+/-0.1e-30 y[1] (closed_form) 0.405878399999999999999999999999999999e-1+/-0.104e-31 y[1] (numeric) 0.405878399999999999999997266666666666e-1+/-0.1e-31 absolute error 0.2733333333333e-24+/-0.204e-31 relative error 0.673436510376753234466283497717542989e-21+/-0.502e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.52e0+/-0.1e-30 y[1] (closed_form) 0.416013866666666666666666666666666666e-1+/-0.105e-31 y[1] (numeric) 0.416013866666666666666663866666666666e-1+/-0.1e-31 absolute error 0.28e-24+/-0.205e-31 relative error 0.67305448792732549940643004207552056e-21+/-0.492e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.53e0+/-0.1e-30 y[1] (closed_form) 0.426240133333333333333333333333333333e-1+/-0.106e-31 y[1] (numeric) 0.426240133333333333333330466666666666e-1+/-0.1e-31 absolute error 0.2866666666667e-24+/-0.206e-31 relative error 0.672547337166201462024067184663668461e-21+/-0.483e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.54e0+/-0.1e-30 y[1] (closed_form) 0.436557599999999999999999999999999999e-1+/-0.107e-31 y[1] (numeric) 0.436557599999999999999997066666666666e-1+/-0.1e-31 absolute error 0.2933333333333e-24+/-0.207e-31 relative error 0.671923552203191514705046939968517328e-21+/-0.474e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.55e0+/-0.1e-30 y[1] (closed_form) 0.446966666666666666666666666666666666e-1+/-0.108e-31 y[1] (numeric) 0.446966666666666666666663666666666666e-1+/-0.1e-31 absolute error 0.3e-24+/-0.208e-31 relative error 0.671190991125363561786859571929301216e-21+/-0.465e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.56e0+/-0.1e-30 y[1] (closed_form) 0.457467733333333333333333333333333333e-1+/-0.109e-31 y[1] (numeric) 0.457467733333333333333330266666666666e-1+/-0.1e-31 absolute error 0.3066666666667e-24+/-0.209e-31 relative error 0.67035693300634973745324989041121443e-21+/-0.456e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.57e0+/-0.1e-30 y[1] (closed_form) 0.468061199999999999999999999999999999e-1+/-0.11e-31 y[1] (numeric) 0.468061199999999999999996866666666666e-1+/-0.1e-31 absolute error 0.3133333333333e-24+/-0.21e-31 relative error 0.669428128914124905033786180097816269e-21+/-0.448e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.58e0+/-0.1e-30 y[1] (closed_form) 0.478747466666666666666666666666666666e-1+/-0.111e-31 y[1] (numeric) 0.478747466666666666666663466666666666e-1+/-0.1e-31 absolute error 0.32e-24+/-0.211e-31 relative error 0.668410847639646343820513863119484567e-21+/-0.44e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.59e0+/-0.1e-30 y[1] (closed_form) 0.489526933333333333333333333333333333e-1+/-0.112e-31 y[1] (numeric) 0.489526933333333333333330066666666666e-1+/-0.1e-31 absolute error 0.3266666666667e-24+/-0.212e-31 relative error 0.66731091677087157887397138788686329e-21+/-0.433e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.500399999999999999999999999999999999e-1+/-0.113e-31 y[1] (numeric) 0.500399999999999999999996666666666666e-1+/-0.1e-31 absolute error 0.3333333333333e-24+/-0.213e-31 relative error 0.666133759658872901678657074340527579e-21+/-0.425e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.61e0+/-0.1e-30 y[1] (closed_form) 0.511367066666666666666666666666666666e-1+/-0.114e-31 y[1] (numeric) 0.511367066666666666666663266666666666e-1+/-0.1e-31 absolute error 0.34e-24+/-0.214e-31 relative error 0.664884428745639466288143181166926928e-21+/-0.418e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.62e0+/-0.1e-30 y[1] (closed_form) 0.522428533333333333333333333333333333e-1+/-0.116e-31 y[1] (numeric) 0.522428533333333333333329866666666666e-1+/-0.1e-31 absolute error 0.3466666666667e-24+/-0.216e-31 relative error 0.663567635662638640972647231621345848e-21+/-0.413e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.63e0+/-0.1e-30 y[1] (closed_form) 0.533584799999999999999999999999999999e-1+/-0.117e-31 y[1] (numeric) 0.533584799999999999999996466666666666e-1+/-0.1e-31 absolute error 0.3533333333333e-24+/-0.217e-31 relative error 0.662187778462392481944763044224648079e-21+/-0.406e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.64e0+/-0.1e-30 y[1] (closed_form) 0.544836266666666666666666666666666666e-1+/-0.118e-31 y[1] (numeric) 0.544836266666666666666663066666666666e-1+/-0.1e-31 absolute error 0.36e-24+/-0.218e-31 relative error 0.660748966294950507455206114521989726e-21+/-0.4e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.65e0+/-0.1e-30 y[1] (closed_form) 0.556183333333333333333333333333333333e-1+/-0.119e-31 y[1] (numeric) 0.556183333333333333333329666666666666e-1+/-0.1e-31 absolute error 0.3666666666667e-24+/-0.219e-31 relative error 0.659255041802822810224446375595576998e-21+/-0.393e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.66e0+/-0.1e-30 y[1] (closed_form) 0.567626399999999999999999999999999999e-1+/-0.12e-31 y[1] (numeric) 0.567626399999999999999996266666666666e-1+/-0.1e-31 absolute error 0.3733333333333e-24+/-0.22e-31 relative error 0.657709601479599962228677172168172587e-21+/-0.387e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.67e0+/-0.1e-30 y[1] (closed_form) 0.579165866666666666666666666666666666e-1+/-0.121e-31 y[1] (numeric) 0.579165866666666666666662866666666666e-1+/-0.1e-31 absolute error 0.38e-24+/-0.221e-31 relative error 0.656116014203415302559266844454921837e-21+/-0.381e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.68e0+/-0.1e-30 y[1] (closed_form) 0.590802133333333333333333333333333333e-1+/-0.122e-31 y[1] (numeric) 0.590802133333333333333329466666666666e-1+/-0.1e-31 absolute error 0.3866666666667e-24+/-0.222e-31 relative error 0.654477438131627148265770198076468241e-21+/-0.375e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.69e0+/-0.1e-30 y[1] (closed_form) 0.602535599999999999999999999999999999e-1+/-0.123e-31 y[1] (numeric) 0.602535599999999999999996066666666666e-1+/-0.1e-31 absolute error 0.3933333333333e-24+/-0.223e-31 relative error 0.652796836126031391340196330308117894e-21+/-0.37e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.614366666666666666666666666666666666e-1+/-0.124e-31 y[1] (numeric) 0.614366666666666666666662666666666666e-1+/-0.1e-31 absolute error 0.4e-24+/-0.224e-31 relative error 0.651076989854050241441050404210297868e-21+/-0.364e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.71e0+/-0.1e-30 y[1] (closed_form) 0.626295733333333333333333333333333333e-1+/-0.125e-31 y[1] (numeric) 0.626295733333333333333329266666666666e-1+/-0.1e-31 absolute error 0.4066666666667e-24+/-0.225e-31 relative error 0.649320512695014368079148125550059631e-21+/-0.359e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.72e0+/-0.1e-30 y[1] (closed_form) 0.638323199999999999999999999999999999e-1+/-0.126e-31 y[1] (numeric) 0.638323199999999999999995866666666666e-1+/-0.1e-31 absolute error 0.4133333333333e-24+/-0.226e-31 relative error 0.647529861570596212075638172010667951e-21+/-0.354e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.73e0+/-0.1e-30 y[1] (closed_form) 0.650449466666666666666666666666666666e-1+/-0.127e-31 y[1] (numeric) 0.650449466666666666666662466666666666e-1+/-0.1e-31 absolute error 0.42e-24+/-0.227e-31 relative error 0.645707347801140995631533559050756902e-21+/-0.348e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.74e0+/-0.1e-30 y[1] (closed_form) 0.662674933333333333333333333333333333e-1+/-0.129e-31 y[1] (numeric) 0.662674933333333333333329066666666666e-1+/-0.1e-31 absolute error 0.4266666666667e-24+/-0.229e-31 relative error 0.643855147078698414627423158906267165e-21+/-0.345e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.75e0+/-0.1e-30 y[1] (closed_form) 0.674999999999999999999999999999999999e-1+/-0.13e-31 y[1] (numeric) 0.674999999999999999999995666666666666e-1+/-0.1e-31 absolute error 0.4333333333333e-24+/-0.23e-31 relative error 0.641975308641925925925925925925925926e-21+/-0.34e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.76e0+/-0.1e-30 y[1] (closed_form) 0.687425066666666666666666666666666666e-1+/-0.131e-31 y[1] (numeric) 0.687425066666666666666662266666666666e-1+/-0.1e-31 absolute error 0.44e-24+/-0.231e-31 relative error 0.640069763725035339609379000436023282e-21+/-0.336e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.77e0+/-0.1e-30 y[1] (closed_form) 0.699950533333333333333333333333333333e-1+/-0.132e-31 y[1] (numeric) 0.699950533333333333333328866666666666e-1+/-0.1e-31 absolute error 0.4466666666667e-24+/-0.232e-31 relative error 0.638140333345508796907362405990975743e-21+/-0.331e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.78e0+/-0.1e-30 y[1] (closed_form) 0.712576799999999999999999999999999999e-1+/-0.133e-31 y[1] (numeric) 0.712576799999999999999995466666666666e-1+/-0.1e-31 absolute error 0.4533333333333e-24+/-0.233e-31 relative error 0.636188735492511123011582751501311859e-21+/-0.326e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.79e0+/-0.1e-30 y[1] (closed_form) 0.725304266666666666666666666666666666e-1+/-0.134e-31 y[1] (numeric) 0.725304266666666666666662066666666666e-1+/-0.1e-31 absolute error 0.46e-24+/-0.234e-31 relative error 0.634216591767831872674309374897744064e-21+/-0.322e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.738133333333333333333333333333333333e-1+/-0.135e-31 y[1] (numeric) 0.738133333333333333333328666666666666e-1+/-0.1e-31 absolute error 0.4666666666667e-24+/-0.235e-31 relative error 0.632225433526056719653179190751445086e-21+/-0.318e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.81e0+/-0.1e-30 y[1] (closed_form) 0.751064399999999999999999999999999999e-1+/-0.137e-31 y[1] (numeric) 0.751064399999999999999995266666666666e-1+/-0.1e-31 absolute error 0.4733333333333e-24+/-0.237e-31 relative error 0.630216707559697943345470774543434625e-21+/-0.315e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.82e0+/-0.1e-30 y[1] (closed_form) 0.764097866666666666666666666666666666e-1+/-0.138e-31 y[1] (numeric) 0.764097866666666666666661866666666666e-1+/-0.1e-31 absolute error 0.48e-24+/-0.238e-31 relative error 0.62819178136692437652838187917987469e-21+/-0.311e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.83e0+/-0.1e-30 y[1] (closed_form) 0.777234133333333333333333333333333333e-1+/-0.139e-31 y[1] (numeric) 0.777234133333333333333328466666666666e-1+/-0.1e-31 absolute error 0.4866666666667e-24+/-0.239e-31 relative error 0.626151948035950042338164595962160522e-21+/-0.307e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.84e0+/-0.1e-30 y[1] (closed_form) 0.790473599999999999999999999999999999e-1+/-0.14e-31 y[1] (numeric) 0.790473599999999999999995066666666666e-1+/-0.1e-31 absolute error 0.4933333333333e-24+/-0.24e-31 relative error 0.62409843078035749707517113791023508e-21+/-0.303e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.85e0+/-0.1e-30 y[1] (closed_form) 0.803816666666666666666666666666666666e-1+/-0.141e-31 y[1] (numeric) 0.803816666666666666666661666666666666e-1+/-0.1e-31 absolute error 0.5e-24+/-0.241e-31 relative error 0.622032387152957764000912314167824338e-21+/-0.299e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.86e0+/-0.1e-30 y[1] (closed_form) 0.817263733333333333333333333333333333e-1+/-0.142e-31 y[1] (numeric) 0.817263733333333333333328266666666666e-1+/-0.1e-31 absolute error 0.5066666666667e-24+/-0.242e-31 relative error 0.619954912963265387362512762098175407e-21+/-0.296e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.87e0+/-0.1e-30 y[1] (closed_form) 0.830815199999999999999999999999999999e-1+/-0.144e-31 y[1] (numeric) 0.830815199999999999999994866666666666e-1+/-0.1e-31 absolute error 0.5133333333333e-24+/-0.244e-31 relative error 0.617867045924653280296268050945625453e-21+/-0.293e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.88e0+/-0.1e-30 y[1] (closed_form) 0.844471466666666666666666666666666666e-1+/-0.145e-31 y[1] (numeric) 0.844471466666666666666661466666666666e-1+/-0.1e-31 absolute error 0.52e-24+/-0.245e-31 relative error 0.615769769051600875087786664510946176e-21+/-0.29e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.89e0+/-0.1e-30 y[1] (closed_form) 0.858232933333333333333333333333333333e-1+/-0.146e-31 y[1] (numeric) 0.858232933333333333333328066666666666e-1+/-0.1e-31 absolute error 0.5266666666667e-24+/-0.246e-31 relative error 0.613664013825656034018425766928543253e-21+/-0.286e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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+/-0.1e-30 y[1] (closed_form) 0.872099999999999999999999999999999999e-1+/-0.147e-31 y[1] (numeric) 0.872099999999999999999994666666666666e-1+/-0.1e-31 absolute error 0.5333333333333e-24+/-0.247e-31 relative error 0.611550663150212131636280243091388602e-21+/-0.283e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.91e0+/-0.1e-30 y[1] (closed_form) 0.886073066666666666666666666666666666e-1+/-0.148e-31 y[1] (numeric) 0.886073066666666666666661266666666666e-1+/-0.1e-31 absolute error 0.54e-24+/-0.248e-31 relative error 0.609430554109307464185045386776229741e-21+/-0.279e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.92e0+/-0.1e-30 y[1] (closed_form) 0.900152533333333333333333333333333333e-1+/-0.15e-31 y[1] (numeric) 0.900152533333333333333327866666666666e-1+/-0.1e-31 absolute error 0.5466666666667e-24+/-0.25e-31 relative error 0.607304480544371442825097494587583971e-21+/-0.277e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) * ( 0.2 * x + 0.3 ) ; Iterations 830 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 14 Minutes 41 Seconds Optimized Time Remaining 14 Minutes 41 Seconds Expected Total Time 17 Minutes 41 Seconds Time to Timeout 0 Seconds Percent Done 0.169591836734693877551020408163265306e2+/-0.204e-29%