Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/add_lin_fullpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c( x) + c(0.1)) /c( 0.3)) 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) -0.31655714300080312872249345067886e0+/-0.541e-29 y[1] (numeric) -0.31655714300080312872249345067886e0+/-0.543e-29 absolute error 0.0e0+/-0.1084e-28 relative error 0.0e0+/-0.3424342252157771756177506893455784e-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+/-0.5e-30 y[1] (closed_form) -0.444332403325243218960661298817719e0+/-0.518e-29 y[1] (numeric) -0.444332403325243218961030343666115e0+/-0.557e-29 absolute error 0.369044848396e-21+/-0.107e-28 relative error 0.8305602869252501909916778642918911e-19+/-0.24e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.5e-30 y[1] (closed_form) -0.570509359361531550775464974333842e0+/-0.489e-29 y[1] (numeric) -0.57050935936153155077620090310529e0+/-0.577e-29 absolute error 0.735928771448e-21+/-0.106e-28 relative error 0.1289950391474020033643268252308489e-18+/-0.185e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47e1+/-0.5e-30 y[1] (closed_form) -0.695000108442232204460589928720682e0+/-0.482e-29 y[1] (numeric) -0.695000108442232204461690250319069e0+/-0.599e-29 absolute error 0.1100321598387e-20+/-0.108e-28 relative error 0.1583196297412459698929203879354374e-18+/-0.155e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46e1+/-0.5e-30 y[1] (closed_form) -0.817717365439851709264622978641993e0+/-0.473e-29 y[1] (numeric) -0.81771736543985170926608487404226e0+/-0.631e-29 absolute error 0.1461895400267e-20+/-0.11e-28 relative error 0.1787775901616866989111474485298968e-18+/-0.134e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45e1+/-0.5e-30 y[1] (closed_form) -0.938574541317562218158461841460155e0+/-0.428e-29 y[1] (numeric) -0.938574541317562218160282166245221e0+/-0.661e-29 absolute error 0.1820324785066e-20+/-0.108e-28 relative error 0.1939456809163654689051977166879113e-18+/-0.115e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44e1+/-0.5e-30 y[1] (closed_form) -0.105748582105349006825174324811735e1+/-0.410e-29 y[1] (numeric) -0.105748582105349006825391853530788e1+/-0.693e-29 absolute error 0.217528719053e-20+/-0.11e-28 relative error 0.2057036744344176851283461561706253e-18+/-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] -0.43e1+/-0.5e-30 y[1] (closed_form) -0.11743662408684431268855985278349e1+/-0.420e-29 y[1] (numeric) -0.117436624086844312688812499100936e1+/-0.739e-29 absolute error 0.252646317446e-20+/-0.115e-28 relative error 0.2151341793162993178470337883416763e-18+/-0.979e-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) -0.128913176468757718150546541131338e1+/-0.404e-29 y[1] (numeric) -0.128913176468757718150833894801553e1+/-0.785e-29 absolute error 0.287353670215e-20+/-0.118e-28 relative error 0.2229048093347079604297364469993492e-18+/-0.915e-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) -0.140169935976719103457071945217849e1+/-0.383e-29 y[1] (numeric) -0.140169935976719103457393564760938e1+/-0.841e-29 absolute error 0.321619543089e-20+/-0.122e-28 relative error 0.2294497324607595988573574380258334e-18+/-0.87e-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) -0.151198707141859129257123350594907e1+/-0.244e-29 y[1] (numeric) -0.151198707141859129257478763694001e1+/-0.903e-29 absolute error 0.3554130990932e-20+/-0.114e-28 relative error 0.2350635834205519015179232344853035e-18+/-0.753e-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) -0.161991409676178041455031022725309e1+/-0.354e-29 y[1] (numeric) -0.161991409676178041455419726651619e1+/-0.96e-29 absolute error 0.38870392631e-20+/-0.131e-28 relative error 0.2399534191887223289262931010976167e-18+/-0.808e-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) -0.172540085744259467911491140330727e1+/-0.34e-29 y[1] (numeric) -0.172540085744259467911912602395966e1+/-0.1e-28 absolute error 0.421462065239e-20+/-0.134e-28 relative error 0.2442690713992660366033100132596621e-18+/-0.776e-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) -0.182836907124785155402243785259728e1+/-0.331e-29 y[1] (numeric) -0.182836907124785155402697443295496e1+/-0.1e-28 absolute error 0.453658035768e-20+/-0.133e-28 relative error 0.2481216964900751440999688688706862e-18+/-0.727e-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) -0.192874182255405766958886089119981e1+/-0.318e-29 y[1] (numeric) -0.192874182255405766959371351983679e1+/-0.1e-28 absolute error 0.485262863698e-20+/-0.131e-28 relative error 0.2515955520969677789909152441111206e-18+/-0.679e-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) -0.202644363154627831388726991253485e1+/-0.305e-29 y[1] (numeric) -0.202644363154627831389243239360301e1+/-0.102e-28 absolute error 0.516248106816e-20+/-0.132e-28 relative error 0.2547557202082530933778036117924528e-18+/-0.651e-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) -0.212140052214487613932468235558125e1+/-0.292e-29 y[1] (numeric) -0.212140052214487613933014821438618e1+/-0.11e-28 absolute error 0.546585880493e-20+/-0.139e-28 relative error 0.2576533166591123249465420568130836e-18+/-0.655e-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) -0.221354008857898960067851019126751e1+/-0.28e-29 y[1] (numeric) -0.221354008857898960068427268009532e1+/-0.116e-28 absolute error 0.576248882781e-20+/-0.144e-28 relative error 0.2603290926395330603145769035570049e-18+/-0.65e-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) -0.230279156054683948757343554741285e1+/-0.266e-29 y[1] (numeric) -0.230279156054683948757948765160269e1+/-0.122e-28 absolute error 0.605210418984e-20+/-0.148e-28 relative error 0.2628159792457645817423160193750332e-18+/-0.642e-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) -0.238908586690422367370820972621485e1+/-0.258e-29 y[1] (numeric) -0.238908586690422367371454417047152e1+/-0.13e-28 absolute error 0.633444425667e-20+/-0.155e-28 relative error 0.2651409204005785629242899894424681e-18+/-0.648e-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) -0.247235569782388473640249993880775e1+/-0.248e-29 y[1] (numeric) -0.247235569782388473640910919374912e1+/-0.136e-28 absolute error 0.660925494137e-20+/-0.16e-28 relative error 0.2673262163364004053823680367882543e-18+/-0.647e-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) -0.255253556536981121123763521774781e1+/-0.197e-29 y[1] (numeric) -0.255253556536981121124451150668063e1+/-0.142e-28 absolute error 0.687628893282e-20+/-0.161e-28 relative error 0.2693905239210159111153571573248555e-18+/-0.63e-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) -0.262956186243195969930474853566277e1+/-0.227e-29 y[1] (numeric) -0.262956186243195969931188384158126e1+/-0.15e-28 absolute error 0.713530591849e-20+/-0.172e-28 relative error 0.2713496122844923977191187923142694e-18+/-0.654e-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) -0.270337291996836055513819314713185e1+/-0.217e-29 y[1] (numeric) -0.27033729199683605551455792199324e1+/-0.156e-28 absolute error 0.738607280055e-20+/-0.177e-28 relative error 0.2732169411771885442818178349032294e-18+/-0.654e-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) -0.277390906250309312394131361348106e1+/-0.207e-29 y[1] (numeric) -0.277390906250309312394894197738681e1+/-0.162e-28 absolute error 0.762836390575e-20+/-0.182e-28 relative error 0.2750041091421501414868580586099067e-18+/-0.656e-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) -0.284111266183018609639201523559969e1+/-0.197e-29 y[1] (numeric) -0.284111266183018609639987719678812e1+/-0.17e-28 absolute error 0.786196118843e-20+/-0.189e-28 relative error 0.2767212048312609674341387162546288e-18+/-0.665e-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) -0.290492818887511309561333218120232e1+/-0.189e-29 y[1] (numeric) -0.290492818887511309562141883562914e1+/-0.176e-28 absolute error 0.808665442682e-20+/-0.194e-28 relative error 0.278377085457366413560921720884668e-18+/-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] -0.23e1+/-0.5e-30 y[1] (closed_form) -0.296530226366721165082665507496892e1+/-0.18e-29 y[1] (numeric) -0.296530226366721165083495731638109e1+/-0.182e-28 absolute error 0.830224141217e-20+/-0.200e-28 relative error 0.2799795998503894673573232737379822e-18+/-0.674e-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) -0.302218370337805375364841834622106e1+/-0.174e-29 y[1] (numeric) -0.30221837033780537536569268743518e1+/-0.19e-28 absolute error 0.850852813074e-20+/-0.207e-28 relative error 0.2815357690278579156684454517673205e-18+/-0.684e-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) -0.307552356838253670602231672854734e1+/-0.166e-29 y[1] (numeric) -0.307552356838253670603102205748574e1+/-0.198e-28 absolute error 0.87053289384e-20+/-0.214e-28 relative error 0.2830519339176536089434689449961364e-18+/-0.695e-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) -0.312527520630124238705427194201276e1+/-0.159e-29 y[1] (numeric) -0.312527520630124238706316440874048e1+/-0.206e-28 absolute error 0.889246672772e-20+/-0.221e-28 relative error 0.2845338775219164924759237426626645e-18+/-0.707e-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) -0.31713942939844297881800642551113e1+/-0.151e-29 y[1] (numeric) -0.317139429398442978818913402819862e1+/-0.212e-28 absolute error 0.906977308732e-20+/-0.227e-28 relative error 0.2859869270914608251586097371716848e-18+/-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) -0.321383887739987805721845796332789e1+/-0.144e-29 y[1] (numeric) -0.321383887739987805722769505178133e1+/-0.22e-28 absolute error 0.923708845344e-20+/-0.234e-28 relative error 0.2874160406234542641205568182479675e-18+/-0.728e-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) -0.325256940938868368491880686092339e1+/-0.137e-29 y[1] (numeric) -0.325256940938868368492820112317692e1+/-0.226e-28 absolute error 0.939426225353e-20+/-0.239e-28 relative error 0.2888258810530853431673426244560413e-18+/-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] -0.16e1+/-0.5e-30 y[1] (closed_form) -0.328754878525503416497510269241519e1+/-0.131e-29 y[1] (numeric) -0.3287548785255034164984643845457e1+/-0.232e-28 absolute error 0.954115304181e-20+/-0.245e-28 relative error 0.290220880815608568985190730235572e-18+/-0.745e-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) -0.331874237615792973345010785767888e1+/-0.125e-29 y[1] (numeric) -0.331874237615792973345978548630535e1+/-0.24e-28 absolute error 0.967762862647e-20+/-0.252e-28 relative error 0.2916052989227106108065368220715261e-18+/-0.759e-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) -0.334611806027480289191769091255363e1+/-0.119e-29 y[1] (numeric) -0.334611806027480289192749447874232e1+/-0.246e-28 absolute error 0.980356618869e-20+/-0.257e-28 relative error 0.2929832723201904446500322530763099e-18+/-0.768e-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) -0.336964625170899056023374925977287e1+/-0.114e-29 y[1] (numeric) -0.336964625170899056024366811216603e1+/-0.252e-28 absolute error 0.991885239316e-20+/-0.263e-28 relative error 0.2943588629853782075304934632144991e-18+/-0.78e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12e1+/-0.5e-30 y[1] (closed_form) -0.338929992711504408519405882150021e1+/-0.108e-29 y[1] (numeric) -0.33892999271150440852040822049903e1+/-0.26e-28 absolute error 0.1002338349009e-19+/-0.27e-28 relative error 0.2957361020162608083886706497265456e-18+/-0.796e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.5e-30 y[1] (closed_form) -0.340505465001791612322576882690532e1+/-0.103e-29 y[1] (numeric) -0.340505465001791612323588589231387e1+/-0.266e-28 absolute error 0.1011706540855e-19+/-0.276e-28 relative error 0.2971190318045781669946084566763843e-18+/-0.81e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.5e-30 y[1] (closed_form) -0.341688859280413877041398838916056e1+/-0.988e-30 y[1] (numeric) -0.341688859280413877042418820300168e1+/-0.272e-28 absolute error 0.1019981384112e-19+/-0.281e-28 relative error 0.2985117472837859299408744503632678e-18+/-0.822e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.5e-30 y[1] (closed_form) -0.342478255636520236390643330070834e1+/-0.939e-30 y[1] (numeric) -0.342478255636520236391670485502815e1+/-0.28e-28 absolute error 0.1027155431981e-19+/-0.289e-28 relative error 0.2999184371784300450528556814926644e-18+/-0.843e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) -0.342871998737545723966316075670466e1+/-0.895e-30 y[1] (numeric) -0.34287199873754572396734929789877e1+/-0.286e-28 absolute error 0.1033222228304e-19+/-0.294e-28 relative error 0.3013434261497943748613142928791074e-18+/-0.857e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7e0+/-0.5e-30 y[1] (closed_form) -0.342868699318898950119279870473282e1+/-0.851e-30 y[1] (numeric) -0.342868699318898950120318046786654e1+/-0.292e-28 absolute error 0.1038176313372e-19+/-0.3e-28 relative error 0.3027912187476763466122896239438723e-18+/-0.874e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6e0+/-0.5e-30 y[1] (closed_form) -0.342467235434206461659235591544503e1+/-0.810e-30 y[1] (numeric) -0.342467235434206461660277604773347e1+/-0.3e-28 absolute error 0.1042013228844e-19+/-0.308e-28 relative error 0.3042665461187418399558850743264101e-18+/-0.899e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5e0+/-0.5e-30 y[1] (closed_form) -0.341666753464988748854290270385506e1+/-0.771e-30 y[1] (numeric) -0.34166675346498874885533499990726e1+/-0.306e-28 absolute error 0.1044729521754e-19+/-0.313e-28 relative error 0.3057744164917864766427348141796661e-18+/-0.916e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e0+/-0.5e-30 y[1] (closed_form) -0.340466668888859259470898530279158e1+/-0.734e-30 y[1] (numeric) -0.34046666888885925947194485302678e1+/-0.314e-28 absolute error 0.1046322747622e-19+/-0.321e-28 relative error 0.3073201705872588407137079725740852e-18+/-0.942e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e0+/-0.5e-30 y[1] (closed_form) -0.338866666805555092593419311250735e1+/-0.713e-30 y[1] (numeric) -0.338866666805555092594466102723388e1+/-0.322e-28 absolute error 0.1046791472653e-19+/-0.329e-28 relative error 0.3089095432492505600561463834544589e-18+/-0.97e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2e0+/-0.5e-30 y[1] (closed_form) -0.336866702220325980104856919376378e1+/-0.721e-30 y[1] (numeric) -0.336866702220325980105903054651403e1+/-0.33e-28 absolute error 0.1046135275025e-19+/-0.337e-28 relative error 0.3105487328162165641172386998917161e-18+/-0.1e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e0+/-0.5e-30 y[1] (closed_form) -0.334467000084426524873636129979912e1+/-0.729e-30 y[1] (numeric) -0.334467000084426524874680484725185e1+/-0.336e-28 absolute error 0.1044354745273e-19+/-0.343e-28 relative error 0.3122444800262455896707555512383842e-18+/-0.102e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) -0.331668055092675255365187329267956e1+/-0.588e-30 y[1] (numeric) -0.331668055092675255366228780753708e1+/-0.342e-28 absolute error 0.10414514857515e-19+/-0.347e-28 relative error 0.3140041586038474052487739817990932e-18+/-0.104e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.2e-100 y[1] (closed_form) -0.328470631238262679864837390383937e1+/-0.6e-30 y[1] (numeric) -0.328470631238262679865874818493139e1+/-0.35e-28 absolute error 0.1037428109202e-19+/-0.356e-28 relative error 0.3158358801488955546782340728464951e-18+/-0.108e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.4e-100 y[1] (closed_form) -0.324875761125208983013650841339445e1+/-0.615e-30 y[1] (numeric) -0.324875761125208983014683129575832e1+/-0.356e-28 absolute error 0.1032288236387e-19+/-0.362e-28 relative error 0.3177486165208706317472150653135649e-18+/-0.111e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.6e-100 y[1] (closed_form) -0.320884745039090106322625834729971e1+/-0.631e-30 y[1] (numeric) -0.320884745039090106323651871222818e1+/-0.362e-28 absolute error 0.1026036492847e-19+/-0.368e-28 relative error 0.3197523437027236894285882356220131e-18+/-0.114e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.8e-100 y[1] (closed_form) -0.316499149776868496468674327014898e1+/-0.651e-30 y[1] (numeric) -0.316499149776868496469693005519629e1+/-0.37e-28 absolute error 0.1018678504731e-19+/-0.376e-28 relative error 0.3218582120834027730756115877458906e-18+/-0.118e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.10e-99 y[1] (closed_form) -0.311720807236881594714865149831396e1+/-0.669e-30 y[1] (numeric) -0.311720807236881594715875370725125e1+/-0.376e-28 absolute error 0.1010220893729e-19+/-0.382e-28 relative error 0.3240787494051743200693791077712624e-18+/-0.122e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.12e-99 y[1] (closed_form) -0.306551812770256982641530017865492e1+/-0.695e-30 y[1] (numeric) -0.306551812770256982642530689136614e1+/-0.382e-28 absolute error 0.1000671271122e-19+/-0.388e-28 relative error 0.3264281042995970721347349524665134e-18+/-0.126e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e0+/-0.14e-99 y[1] (closed_form) -0.300994523295237799280935145400735e1+/-0.72e-30 y[1] (numeric) -0.300994523295237799281925183631661e1+/-0.39e-28 absolute error 0.990038230926e-20+/-0.397e-28 relative error 0.3289223405420227265864199715983647e-18+/-0.131e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.16e-99 y[1] (closed_form) -0.295051555176115409500881353342192e1+/-0.748e-30 y[1] (numeric) -0.295051555176115409501859684684349e1+/-0.398e-28 absolute error 0.978331342157e-20+/-0.405e-28 relative error 0.3315797951219192476375352446990138e-18+/-0.137e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e0+/-0.18e-99 y[1] (closed_form) -0.288725781868678141067937634830292e1+/-0.777e-30 y[1] (numeric) -0.288725781868678141068903195970519e1+/-0.406e-28 absolute error 0.965561140227e-20+/-0.413e-28 relative error 0.3344215171841386000766004310687726e-18+/-0.143e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.20e-99 y[1] (closed_form) -0.282020331334295027599508910683933e1+/-0.802e-30 y[1] (numeric) -0.282020331334295027600460649801387e1+/-0.412e-28 absolute error 0.951739117454e-20+/-0.42e-28 relative error 0.3374718102596115734478976790132478e-18+/-0.148e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.22e-99 y[1] (closed_form) -0.274938583224961707491970159221148e1+/-0.835e-30 y[1] (numeric) -0.274938583224961707492907036933875e1+/-0.42e-28 absolute error 0.936877712727e-20+/-0.428e-28 relative error 0.3407589075849797854911636242586113e-18+/-0.155e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.24e-99 y[1] (closed_form) -0.267484165841841747512129967833468e1+/-0.879e-30 y[1] (numeric) -0.267484165841841747513050958133774e1+/-0.426e-28 absolute error 0.920990300306e-20+/-0.434e-28 relative error 0.3443158204925535236094289586085479e-18+/-0.162e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.26e-99 y[1] (closed_form) -0.259660952870040498568489386378886e1+/-0.921e-30 y[1] (numeric) -0.259660952870040498569393477556676e1+/-0.432e-28 absolute error 0.90409117779e-20+/-0.441e-28 relative error 0.3481814141853260586132227273549614e-18+/-0.169e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e1+/-0.28e-99 y[1] (closed_form) -0.251473059892549966795949190662837e1+/-0.960e-30 y[1] (numeric) -0.251473059892549966796835386216087e1+/-0.44e-28 absolute error 0.88619555325e-20+/-0.449e-28 relative error 0.3524017855545464136754959159590702e-18+/-0.178e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e1+/-0.30e-99 y[1] (closed_form) -0.242924840686501914268327265872591e1+/-0.1e-29 y[1] (numeric) -0.24292484068650191426919458540413e1+/-0.446e-28 absolute error 0.867319531539e-20+/-0.456e-28 relative error 0.3570320470677136855698866951346135e-18+/-0.187e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e1+/-0.32e-99 y[1] (closed_form) -0.234020883305062311552629109350006e1+/-0.104e-29 y[1] (numeric) -0.234020883305062311553476589449809e1+/-0.452e-28 absolute error 0.847480099803e-20+/-0.462e-28 relative error 0.362138663795338051604624428824316e-18+/-0.197e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e1+/-0.34e-99 y[1] (closed_form) -0.22476600594849317263358219288494e1+/-0.109e-29 y[1] (numeric) -0.224766005948493172634408887997131e1+/-0.46e-28 absolute error 0.826695112191e-20+/-0.47e-28 relative error 0.3678025547957832319839052211431094e-18+/-0.209e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e1+/-0.36e-99 y[1] (closed_form) -0.215165252628097537862036926420108e1+/-0.115e-29 y[1] (numeric) -0.215165252628097537862841909693897e1+/-0.466e-28 absolute error 0.804983273789e-20+/-0.477e-28 relative error 0.3741232675614094825486906970082593e-18+/-0.221e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e1+/-0.38e-99 y[1] (closed_form) -0.205223888626949761767647381612705e1+/-0.12e-29 y[1] (numeric) -0.205223888626949761768429745736491e1+/-0.472e-28 absolute error 0.782364123786e-20+/-0.484e-28 relative error 0.3812246854011033759765428366746911e-18+/-0.235e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.40e-99 y[1] (closed_form) -0.194947395761496142085286663397288e1+/-0.126e-29 y[1] (numeric) -0.194947395761496142086045521415177e1+/-0.478e-28 absolute error 0.758858017889e-20+/-0.49e-28 relative error 0.3892629675430018029188539210404886e-18+/-0.251e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.42e-99 y[1] (closed_form) -0.184341467448290129596710719516778e1+/-0.132e-29 y[1] (numeric) -0.184341467448290129597445205626787e1+/-0.478e-28 absolute error 0.734486110009e-20+/-0.491e-28 relative error 0.398437812270878052092631884291551e-18+/-0.266e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.44e-99 y[1] (closed_form) -0.173412003580301724113229455555668e1+/-0.985e-30 y[1] (numeric) -0.173412003580301724113938725888886e1+/-0.478e-28 absolute error 0.709270333218e-20+/-0.487e-28 relative error 0.4090087874969732945074448513786201e-18+/-0.28e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.46e-99 y[1] (closed_form) -0.162165105217412032304260287028317e1+/-0.144e-29 y[1] (numeric) -0.162165105217412032304943520408328e1+/-0.478e-28 absolute error 0.683233380011e-20+/-0.492e-28 relative error 0.4213196045443934965316746281644839e-18+/-0.303e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.48e-99 y[1] (closed_form) -0.150607069095871183888852659478976e1+/-0.151e-29 y[1] (numeric) -0.150607069095871183889509058160867e1+/-0.478e-28 absolute error 0.656398681891e-20+/-0.493e-28 relative error 0.4358352405577719562900696914951041e-18+/-0.327e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e1+/-0.50e-99 y[1] (closed_form) -0.138744381961660723465138676487155e1+/-0.158e-29 y[1] (numeric) -0.138744381961660723465767466875427e1+/-0.478e-28 absolute error 0.628790388272e-20+/-0.493e-28 relative error 0.4532006120764975088661193524779799e-18+/-0.355e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e1+/-0.52e-99 y[1] (closed_form) -0.126583714732860069338499535240697e1+/-0.167e-29 y[1] (numeric) -0.126583714732860069339099968585455e1+/-0.478e-28 absolute error 0.600433344758e-20+/-0.494e-28 relative error 0.4743369603468688108675703630306219e-18+/-0.39e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e1+/-0.54e-99 y[1] (closed_form) -0.114131916496270515507059408724892e1+/-0.174e-29 y[1] (numeric) -0.114131916496270515507630761795663e1+/-0.478e-28 absolute error 0.571353070771e-20+/-0.495e-28 relative error 0.5006076199462313274625276862777475e-18+/-0.433e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e1+/-0.56e-99 y[1] (closed_form) -0.101396008343699409986996605074672e1+/-0.184e-29 y[1] (numeric) -0.101396008343699409987538180811267e1+/-0.478e-28 absolute error 0.541575736595e-20+/-0.496e-28 relative error 0.5341193854093691969824153612706484e-18+/-0.489e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e1+/-0.58e-99 y[1] (closed_form) -0.88383177053451437678842584949954e0+/-0.192e-29 y[1] (numeric) -0.883831770534514376793537130897783e0+/-0.478e-28 absolute error 0.5111281398243e-20+/-0.497e-28 relative error 0.5783093082467327017578831865855754e-18+/-0.562e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e1+/-0.60e-99 y[1] (closed_form) -0.751007686227132391336455358143254e0+/-0.202e-29 y[1] (numeric) -0.751007686227132391341255734955639e0+/-0.478e-28 absolute error 0.4800376812385e-20+/-0.498e-28 relative error 0.6391914357762230953657165686503691e-18+/-0.663e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e1+/-0.62e-99 y[1] (closed_form) -0.615562816566517825111674332791169e0+/-0.211e-29 y[1] (numeric) -0.615562816566517825116157656192686e0+/-0.478e-28 absolute error 0.4483323401517e-20+/-0.499e-28 relative error 0.7283291454354003029359276162118547e-18+/-0.81e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e1+/-0.64e-99 y[1] (closed_form) -0.477573606201758539728791799854701e0+/-0.221e-29 y[1] (numeric) -0.477573606201758539732952206347014e0+/-0.478e-28 absolute error 0.4160406492313e-20+/-0.5e-28 relative error 0.8711550299861777396311908970982496e-18+/-0.104e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e1+/-0.66e-99 y[1] (closed_form) -0.337117889584336256759656912917145e0+/-0.231e-29 y[1] (numeric) -0.337117889584336256763488829605335e0+/-0.478e-28 absolute error 0.383191668819e-20+/-0.501e-28 relative error 0.1136669635929058394669919131513918e-17+/-0.148e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.68e-99 y[1] (closed_form) -0.194274820922373892046629313203754e0+/-0.242e-29 y[1] (numeric) -0.194274820922373892050127462811557e0+/-0.478e-28 absolute error 0.3498149607803e-20+/-0.502e-28 relative error 0.1800619139008626628293684181472463e-17+/-0.258e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.70e-99 y[1] (closed_form) -0.49124802947190993841922396033062e-1+/-0.254e-29 y[1] (numeric) -0.491248029471909938450818016520556e-1+/-0.478e-28 absolute error 0.31594056189936e-20+/-0.503e-28 relative error 0.6431385836580252428675177246429454e-17+/-0.102e-24% Desired digits 8 Estimated correct digits 10 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.98250585443727423234668444290784e-1+/-0.265e-29 y[1] (numeric) 0.9825058544372742323185245472229691e-1+/-0.478e-28 absolute error 0.281598956848709e-20+/-0.504e-28 relative error 0.2866130065046722027979837233820186e-17+/-0.512e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37e1+/-0.74e-99 y[1] (closed_form) 0.247768662602232204323297621117367e0+/-0.278e-29 y[1] (numeric) 0.2477686626022322043208294106098153e0+/-0.478e-28 absolute error 0.24682105075517e-20+/-0.505e-28 relative error 0.9961754168702783034180988261920518e-18+/-0.203e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38e1+/-0.76e-99 y[1] (closed_form) 0.399345718537412544741021947675398e0+/-0.291e-29 y[1] (numeric) 0.399345718537412544738905566261534e0+/-0.478e-28 absolute error 0.2116381413864e-20+/-0.507e-28 relative error 0.5299622145982085067359835722506538e-18+/-0.126e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39e1+/-0.78e-99 y[1] (closed_form) 0.552897090248937554829543279706806e0+/-0.305e-29 y[1] (numeric) 0.5528970902489375548277824607969431e0+/-0.478e-28 absolute error 0.17608189098629e-20+/-0.508e-28 relative error 0.3184713649098976396061387674621597e-18+/-0.918e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e1+/-0.80e-99 y[1] (closed_form) 0.708337237918041976673386302357095e0+/-0.319e-29 y[1] (numeric) 0.7083372379180419766719844593792933e0+/-0.478e-28 absolute error 0.14018429778017e-20+/-0.509e-28 relative error 0.1979061529959970805653539678132991e-18+/-0.718e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41e1+/-0.82e-99 y[1] (closed_form) 0.8655798218875893082807167132980704e0+/-0.333e-29 y[1] (numeric) 0.8655798218875893082796769366262812e0+/-0.478e-28 absolute error 0.10397766717892e-20+/-0.511e-28 relative error 0.1201248741591198046630510704000514e-18+/-0.59e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42e1+/-0.84e-99 y[1] (closed_form) 0.1024537780361935474413415825360476e1+/-0.348e-29 y[1] (numeric) 0.1024537780361935474412740879533415e1+/-0.478e-28 absolute error 0.674945827061e-21+/-0.512e-28 relative error 0.6587808082807486666040306436437853e-19+/-0.499e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43e1+/-0.86e-99 y[1] (closed_form) 0.1185123407756668411346122607319816e1+/-0.341e-29 y[1] (numeric) 0.1185123407756668411345814928553062e1+/-0.478e-28 absolute error 0.307678766754e-21+/-0.512e-28 relative error 0.2596174919339481452168083427183469e-19+/-0.432e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44e1+/-0.88e-99 y[1] (closed_form) 0.1347248433627714088376726323413612e1+/-0.371e-29 y[1] (numeric) 0.1347248433627714088376788017407202e1+/-0.478e-28 absolute error 0.6169399359e-22+/-0.515e-28 relative error 0.4579258884263652867075493733802959e-20+/-0.382e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45e1+/-0.90e-99 y[1] (closed_form) 0.1510824102108778098223777909173248e1+/-0.398e-29 y[1] (numeric) 0.1510824102108778098224210749216622e1+/-0.478e-28 absolute error 0.432840043374e-21+/-0.517e-28 relative error 0.2864926782474879205396748152976263e-19+/-0.342e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46e1+/-0.92e-99 y[1] (closed_form) 0.1675761251785634480745911531173847e1+/-0.409e-29 y[1] (numeric) 0.1675761251785634480746716956550081e1+/-0.478e-28 absolute error 0.805425376234e-21+/-0.518e-28 relative error 0.4806325336474787057826957800723024e-19+/-0.309e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47e1+/-0.94e-99 y[1] (closed_form) 0.1841970395935380311394681616945995e1+/-0.428e-29 y[1] (numeric) 0.1841970395935380311395860731636502e1+/-0.478e-28 absolute error 0.1179114690507e-20+/-0.52e-28 relative error 0.6401376987973945151075124692433489e-19+/-0.282e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48e1+/-0.96e-99 y[1] (closed_form) 0.2009361803058446141258410643078652e1+/-0.448e-29 y[1] (numeric) 0.2009361803058446141259964214769692e1+/-0.479e-28 absolute error 0.155357169104e-20+/-0.523e-28 relative error 0.77316672819962597257918586641825e-19+/-0.26e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49e1+/-0.98e-99 y[1] (closed_form) 0.2177845577630888915048638221182126e1+/-0.471e-29 y[1] (numeric) 0.2177845577630888915050566680573934e1+/-0.481e-28 absolute error 0.1928459391808e-20+/-0.528e-28 relative error 0.8854895000892684917860548401561978e-19+/-0.242e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; Iterations 200 Total Elapsed Time 4 Minutes 14 Seconds Elapsed Time(since restart) 4 Minutes 14 Seconds Time to Timeout 15 Minutes 46 Seconds Percent Done 0.1005e3+/-0.155e-28%