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/addpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=40 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(x)) - c(cos(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5e1+/-0.50e-30 y[1] (closed_form) 0.1432675629073547471066721656972842e1+/-0.134e-27 y[1] (numeric) 0.1432675629073547471066721656972842e1+/-0.134e-27 absolute error 0.0e0+/-0.268e-27 relative error 0.0e0+/-0.1870625803646179146968423577639733e-25% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.5e-30 y[1] (closed_form) 0.1626975261154849191011341711756208e1+/-0.12e-27 y[1] (numeric) 0.1626975261154849191019386824818556e1+/-0.134e-27 absolute error 0.8045113062348e-20+/-0.254e-27 relative error 0.4944828144859110652499622175249519e-18+/-0.156e-25% 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) 0.1825002033121106861359569484700934e1+/-0.108e-27 y[1] (numeric) 0.1825002033121106861375835427017854e1+/-0.134e-27 absolute error 0.1626594231692e-19+/-0.242e-27 relative error 0.8912835175915990065107860672766237e-18+/-0.132e-25% 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) 0.202477732692578147430101659265419e1+/-0.968e-28 y[1] (numeric) 0.2024777326925781474325596940609017e1+/-0.134e-27 absolute error 0.24580347954827e-19+/-0.23e-27 relative error 0.1213977834893446357292717494105463e-17+/-0.113e-25% 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) 0.2224305053870109034859815642458278e1+/-0.876e-28 y[1] (numeric) 0.2224305053870109034892720897641926e1+/-0.134e-27 absolute error 0.32905255183648e-19+/-0.221e-27 relative error 0.1479349926683641923585270610197735e-17+/-0.993e-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) 0.2421591598861559411960963649587566e1+/-0.778e-28 y[1] (numeric) 0.2421591598861559412002121133869556e1+/-0.134e-27 absolute error 0.4115748428199e-19+/-0.211e-27 relative error 0.1699604685667847112529464259602853e-17+/-0.871e-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) 0.2614665739956839366238279484435328e1+/-0.696e-28 y[1] (numeric) 0.2614665739956839366287534066139931e1+/-0.134e-27 absolute error 0.49254581704603e-19+/-0.203e-27 relative error 0.1883781202006190355539290782946031e-17+/-0.776e-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) 0.2801598344159950593813524792672116e1+/-0.624e-28 y[1] (numeric) 0.2801598344159950593870640436602554e1+/-0.134e-27 absolute error 0.57115643930438e-19+/-0.196e-27 relative error 0.2038680671320996403339554251776038e-17+/-0.699e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42e1+/-0.5e-30 y[1] (closed_form) 0.2980521642681399155311089762754286e1+/-0.562e-28 y[1] (numeric) 0.298052164268139915537575188857886e1+/-0.134e-27 absolute error 0.64662125824574e-19+/-0.19e-27 relative error 0.2169490229448604416541276915801907e-17+/-0.637e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41e1+/-0.5e-30 y[1] (closed_form) 0.3149647893066537823070057359319628e1+/-0.506e-28 y[1] (numeric) 0.3149647893066537823141875984753865e1+/-0.134e-27 absolute error 0.71818625434237e-19+/-0.184e-27 relative error 0.2280211244956446853096138361922988e-17+/-0.584e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e1+/-0.5e-30 y[1] (closed_form) 0.3307287241727223829278336366195536e1+/-0.448e-28 y[1] (numeric) 0.3307287241727223829356850003576565e1+/-0.134e-27 absolute error 0.78513637381029e-19+/-0.178e-27 relative error 0.2373958826147359896612019900625585e-17+/-0.538e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39e1+/-0.5e-30 y[1] (closed_form) 0.345186460840028025874466096922869e1+/-0.376e-28 y[1] (numeric) 0.3451864608400280258829341236547357e1+/-0.134e-27 absolute error 0.84680267318667e-19+/-0.171e-27 relative error 0.2453174644005256019227893934585978e-17+/-0.495e-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] -0.38e1+/-0.5e-30 y[1] (closed_form) 0.3581935423828833399993136348701468e1+/-0.36e-28 y[1] (numeric) 0.3581935423828833400083393249020586e1+/-0.134e-27 absolute error 0.90256900319118e-19+/-0.170e-27 relative error 0.2519780220455225664364145254335019e-17+/-0.474e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37e1+/-0.5e-30 y[1] (closed_form) 0.3696200063420816317671340212708834e1+/-0.326e-28 y[1] (numeric) 0.3696200063420816317766528029217758e1+/-0.134e-27 absolute error 0.95187816508924e-19+/-0.166e-27 relative error 0.2575288536217060434925900481896475e-17+/-0.449e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36e1+/-0.5e-30 y[1] (closed_form) 0.3793516832668294011740583450531866e1+/-0.292e-28 y[1] (numeric) 0.3793516832668294011840007198335362e1+/-0.134e-27 absolute error 0.99423747803496e-19+/-0.163e-27 relative error 0.2620885900579042862986221092600353e-17+/-0.429e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35e1+/-0.5e-30 y[1] (closed_form) 0.3872913374581592675397315253343532e1+/-0.244e-28 y[1] (numeric) 0.3872913374581592675500237623520963e1+/-0.134e-27 absolute error 0.102922370177431e-18+/-0.158e-27 relative error 0.2657492182833811560366243367022337e-17+/-0.407e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34e1+/-0.5e-30 y[1] (closed_form) 0.393359638515892202856440307953133e1+/-0.218e-28 y[1] (numeric) 0.3933596385158922028670051806083951e1+/-0.134e-27 absolute error 0.105648726552621e-18+/-0.155e-27 relative error 0.268580495322863848638212103640688e-17+/-0.394e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33e1+/-0.5e-30 y[1] (closed_form) 0.3974959539817729767873182102205652e1+/-0.208e-28 y[1] (numeric) 0.3974959539817729767980757678282865e1+/-0.134e-27 absolute error 0.107575576077213e-18+/-0.154e-27 relative error 0.270633134751720860105258970458183e-17+/-0.387e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.32e1+/-0.5e-30 y[1] (closed_form) 0.3996589551589506169323321444567108e1+/-0.188e-28 y[1] (numeric) 0.3996589551589506169432005110874874e1+/-0.134e-27 absolute error 0.108683666307766e-18+/-0.152e-27 relative error 0.2719410259793648465886835800511061e-17+/-0.38e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31e1+/-0.5e-30 y[1] (closed_form) 0.3998270300546558928984752109082878e1+/-0.168e-28 y[1] (numeric) 0.3998270300546558929093714034655851e1+/-0.134e-27 absolute error 0.108961925572973e-18+/-0.15e-27 relative error 0.272522659506232059172236937732287e-17+/-0.375e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e1+/-0.5e-30 y[1] (closed_form) 0.3979984993200890914543145589462464e1+/-0.15e-28 y[1] (numeric) 0.3979984993200890914651553163060712e1+/-0.134e-27 absolute error 0.108407573598248e-18+/-0.149e-27 relative error 0.2723818652166864986949592833511739e-17+/-0.374e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29e1+/-0.5e-30 y[1] (closed_form) 0.3941916330299181043562213338691014e1+/-0.135e-28 y[1] (numeric) 0.3941916330299181043669239487976275e1+/-0.134e-27 absolute error 0.107026149285261e-18+/-0.147e-27 relative error 0.2715079172599739015715632739803147e-17+/-0.372e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28e1+/-0.5e-30 y[1] (closed_form) 0.3884444681337316305173576234732252e1+/-0.12e-28 y[1] (numeric) 0.3884444681337316305278407690101385e1+/-0.134e-27 absolute error 0.104831455369133e-18+/-0.146e-27 relative error 0.2698750116658687353324142692841615e-17+/-0.375e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27e1+/-0.5e-30 y[1] (closed_form) 0.380814428403412229596505456388662e1+/-0.101e-28 y[1] (numeric) 0.3808144284034122296066899984392588e1+/-0.134e-27 absolute error 0.101845420505968e-18+/-0.144e-27 relative error 0.2674410760457820658693175607192847e-17+/-0.378e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26e1+/-0.5e-30 y[1] (closed_form) 0.3713777506737894467595404303290354e1+/-0.965e-29 y[1] (numeric) 0.3713777506737894467693502183459467e1+/-0.134e-27 absolute error 0.98097880169113e-19+/-0.143e-27 relative error 0.2641458191588869679055569020080994e-17+/-0.385e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25e1+/-0.5e-30 y[1] (closed_form) 0.3602287231093867429667005580934654e1+/-0.857e-29 y[1] (numeric) 0.3602287231093867429760631859477465e1+/-0.134e-27 absolute error 0.93626278542811e-19+/-0.142e-27 relative error 0.2599078655767839065768461192795224e-17+/-0.394e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24e1+/-0.5e-30 y[1] (closed_form) 0.3474787431082490999217644454669518e1+/-0.767e-29 y[1] (numeric) 0.3474787431082490999306119749061919e1+/-0.134e-27 absolute error 0.88475294392401e-19+/-0.141e-27 relative error 0.2546207391018406388410681490846662e-17+/-0.405e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23e1+/-0.5e-30 y[1] (closed_form) 0.3332552042559648386635761142331982e1+/-0.685e-29 y[1] (numeric) 0.3332552042559648386718457536980819e1+/-0.134e-27 absolute error 0.82696394648837e-19+/-0.14e-27 relative error 0.2481473465162152561139973845303945e-17+/-0.42e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22e1+/-0.5e-30 y[1] (closed_form) 0.3177002234510691417048285225309796e1+/-0.613e-29 y[1] (numeric) 0.3177002234510691417124632545477896e1+/-0.134e-27 absolute error 0.763473201681e-19+/-0.14e-27 relative error 0.2403124534782037841648133980787009e-17+/-0.44e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21e1+/-0.5e-30 y[1] (closed_form) 0.3009692209199714903241877047438276e1+/-0.547e-29 y[1] (numeric) 0.3009692209199714903311368556241941e1+/-0.134e-27 absolute error 0.69491508803665e-19+/-0.139e-27 relative error 0.2308924101649017973201766855811671e-17+/-0.461e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2e1+/-0.5e-30 y[1] (closed_form) 0.2832293673094284773995136459001474e1+/-0.483e-29 y[1] (numeric) 0.2832293673094284774057333920557931e1+/-0.134e-27 absolute error 0.62197461556457e-19+/-0.138e-27 relative error 0.219601032715319336259145592021702e-17+/-0.487e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19e1+/-0.5e-30 y[1] (closed_form) 0.2646579133727006844557667390160574e1+/-0.417e-29 y[1] (numeric) 0.2646579133727006844612205448296065e1+/-0.134e-27 absolute error 0.54538058135491e-19+/-0.138e-27 relative error 0.2060700072802605650443637121955223e-17+/-0.521e-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+/-0.5e-30 y[1] (closed_form) 0.245440418938617411063334861306111e1+/-0.383e-29 y[1] (numeric) 0.2454404189386174110679938441829001e1+/-0.134e-27 absolute error 0.46589828767891e-19+/-0.137e-27 relative error 0.1898213381861229839787980662714956e-17+/-0.558e-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+/-0.5e-30 y[1] (closed_form) 0.2257688988591049368175285714669696e1+/-0.329e-29 y[1] (numeric) 0.2257688988591049368213717904203846e1+/-0.134e-27 absolute error 0.3843218953415e-19+/-0.137e-27 relative error 0.1702280062859069251211567440491472e-17+/-0.606e-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+/-0.5e-30 y[1] (closed_form) 0.205839904460257745241154092589297e1+/-0.301e-29 y[1] (numeric) 0.2058399044602577452441687574761884e1+/-0.134e-27 absolute error 0.30146648868914e-19+/-0.137e-27 relative error 0.1464567764348847262520690134774462e-17+/-0.665e-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+/-0.5e-30 y[1] (closed_form) 0.1858525596664594179823620297131434e1+/-0.259e-29 y[1] (numeric) 0.1858525596664594179845436290287159e1+/-0.134e-27 absolute error 0.21815993155725e-19+/-0.136e-27 relative error 0.1173833343747167414132688394499306e-17+/-0.731e-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+/-0.5e-30 y[1] (closed_form) 0.1660065714199518122766503929592682e1+/-0.239e-29 y[1] (numeric) 0.1660065714199518122780027389145365e1+/-0.134e-27 absolute error 0.13523459552683e-19+/-0.136e-27 relative error 0.8146339893058991011194986789784485e-18+/-0.819e-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+/-0.5e-30 y[1] (closed_form) 0.146500234275082518600403178141424e1+/-0.209e-29 y[1] (numeric) 0.1465002342750825186009383685728662e1+/-0.134e-27 absolute error 0.5351904314422e-20+/-0.136e-27 relative error 0.3653171164472518693714385729152275e-18+/-0.928e-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+/-0.5e-30 y[1] (closed_form) 0.1275284491046652844723253288753832e1+/-0.186e-29 y[1] (numeric) 0.1275284491046652844720636263673549e1+/-0.134e-27 absolute error 0.2617025080283e-20+/-0.135e-27 relative error 0.2052110802457224576549839339646451e-18+/-0.105e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.5e-30 y[1] (closed_form) 0.1092807757148845224457259896430552e1+/-0.163e-29 y[1] (numeric) 0.1092807757148845224446956190707455e1+/-0.134e-27 absolute error 0.10303705723097e-19+/-0.135e-27 relative error 0.9428653535530851789308971081336413e-18+/-0.123e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.5e-30 y[1] (closed_form) 0.919395388263720565198126785114046e0+/-0.142e-29 y[1] (numeric) 0.9193953882637205651804954502721157e0+/-0.134e-27 absolute error 0.176313348419303e-19+/-0.135e-27 relative error 0.1917709732613201346001637709399861e-17+/-0.146e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.5e-30 y[1] (closed_form) 0.7567800634586710870305676971857263e0+/-0.121e-29 y[1] (numeric) 0.7567800634586710870060409999969413e0+/-0.134e-27 absolute error 0.24526697188785e-19+/-0.135e-27 relative error 0.324092802824270493275149099971276e-17+/-0.178e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) 0.6065865813056691581585000367153484e0+/-0.106e-29 y[1] (numeric) 0.6065865813056691581275791401329222e0+/-0.134e-27 absolute error 0.309208965824262e-19+/-0.135e-27 relative error 0.5097524003229580393965337552717884e-17+/-0.222e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7e0+/-0.5e-30 y[1] (closed_form) 0.4703156254310231474882800196162647e0+/-0.902e-30 y[1] (numeric) 0.470315625431023147451529975320129e0+/-0.134e-27 absolute error 0.367500442961357e-19+/-0.134e-27 relative error 0.7813910979984119165111757324337514e-17+/-0.284e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6e0+/-0.5e-30 y[1] (closed_form) 0.3493287701806434055180950020892481e0+/-0.756e-30 y[1] (numeric) 0.3493287701806434054761391046764133e0+/-0.134e-27 absolute error 0.419558974128348e-19+/-0.134e-27 relative error 0.1201043286275526205850564939430058e-16+/-0.383e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5e0+/-0.5e-30 y[1] (closed_form) 0.2448348762192545677674368347923403e0+/-0.620e-30 y[1] (numeric) 0.2448348762192545677209503940233472e0+/-0.134e-27 absolute error 0.464864407689931e-19+/-0.134e-27 relative error 0.1898685411442916942877636754856181e-16+/-0.547e-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] -0.4e0+/-0.5e-30 y[1] (closed_form) 0.157878011994229834402946535896398e0+/-0.494e-30 y[1] (numeric) 0.1578780119942298343526501292233949e0+/-0.134e-27 absolute error 0.502964066730031e-19+/-0.134e-27 relative error 0.3185776539600799243587540009029366e-16+/-0.848e-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] -0.3e0+/-0.5e-30 y[1] (closed_form) 0.893270217487879607153795448639007e-1+/-0.376e-30 y[1] (numeric) 0.893270217487879606620318176589464e-1+/-0.134e-27 absolute error 0.533477272049543e-19+/-0.134e-27 relative error 0.5972182455045094120698540913166837e-16+/-0.15e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2e0+/-0.5e-30 y[1] (closed_form) 0.398668443175167377516069665036628e-1+/-0.266e-30 y[1] (numeric) 0.39866844317516737695997051924936e-1+/-0.134e-27 absolute error 0.556099145787268e-19+/-0.134e-27 relative error 0.1394891307067734347413553180154294e-15+/-0.336e-24% Desired digits 8 Estimated correct digits 11 Correct digits 18 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e0+/-0.5e-30 y[1] (closed_form) 0.99916694439484678088760243922603e-2+/-0.16e-30 y[1] (numeric) 0.99916694439484677518156586263991e-2+/-0.134e-27 absolute error 0.570603657658612e-19+/-0.134e-27 relative error 0.5710793985525637423912735832312186e-15+/-0.134e-23% Desired digits 8 Estimated correct digits 10 Correct digits 18 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) 0.0e0+/-0.60e-31 y[1] (numeric) -0.5768458833755103e-19+/-0.134e-27 absolute error 0.5768458833755103e-19+/-0.134e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.99916694439484678088760243922603e-2+/-0.616e-31 y[1] (numeric) 0.9991669443948467751399679124058333e-2+/-0.134e-27 absolute error 0.57476345268201967e-19+/-0.134e-27 relative error 0.5752426618057602161393960241338693e-15+/-0.134e-23% Desired digits 8 Estimated correct digits 10 Correct digits 18 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.4e-100 y[1] (closed_form) 0.398668443175167377516069665036629e-1+/-0.666e-31 y[1] (numeric) 0.3986684431751673769516924924993894e-1+/-0.134e-27 absolute error 0.5643771725372396e-19+/-0.134e-27 relative error 0.1415655495685328019189593634398504e-15+/-0.336e-24% Desired digits 8 Estimated correct digits 11 Correct digits 18 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.6e-100 y[1] (closed_form) 0.893270217487879607153795448639009e-1+/-0.752e-31 y[1] (numeric) 0.8932702174878796066080046294198662e-1+/-0.134e-27 absolute error 0.5457908192191428e-19+/-0.134e-27 relative error 0.611003040887287162784848474279003e-16+/-0.15e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.8e-100 y[1] (closed_form) 0.1578780119942298344029465358963983e0+/-0.874e-31 y[1] (numeric) 0.1578780119942298343510275257537726e0+/-0.134e-27 absolute error 0.519190101426257e-19+/-0.134e-27 relative error 0.328855231243494813842299174979692e-16+/-0.848e-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] 0.5e0+/-0.10e-99 y[1] (closed_form) 0.2448348762192545677674368347923403e0+/-0.103e-30 y[1] (numeric) 0.2448348762192545677189527543185698e0+/-0.134e-27 absolute error 0.484840804737705e-19+/-0.134e-27 relative error 0.1980276716391991002489183425160799e-16+/-0.547e-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] 0.6e0+/-0.12e-99 y[1] (closed_form) 0.3493287701806434055180950020892481e0+/-0.114e-30 y[1] (numeric) 0.3493287701806434054737863884920798e0+/-0.134e-27 absolute error 0.443086135971683e-19+/-0.134e-27 relative error 0.1268392911762052077429208978912662e-16+/-0.383e-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] 0.7e0+/-0.14e-99 y[1] (closed_form) 0.4703156254310231474882800196162705e0+/-0.149e-30 y[1] (numeric) 0.4703156254310231474488456902186491e0+/-0.134e-27 absolute error 0.394343293976214e-19+/-0.134e-27 relative error 0.8384652192127703223882069820054531e-17+/-0.284e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.16e-99 y[1] (closed_form) 0.6065865813056691581585000367153503e0+/-0.180e-30 y[1] (numeric) 0.6065865813056691581245901066037227e0+/-0.134e-27 absolute error 0.339099301116276e-19+/-0.134e-27 relative error 0.5590286886768406295253998093185113e-17+/-0.22e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e0+/-0.18e-99 y[1] (closed_form) 0.7567800634586710870305676971857328e0+/-0.214e-30 y[1] (numeric) 0.7567800634586710870027770834750038e0+/-0.134e-27 absolute error 0.27790613710729e-19+/-0.134e-27 relative error 0.3672217999998448397454009603583348e-17+/-0.177e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.20e-99 y[1] (closed_form) 0.9193953882637205651981267851140468e0+/-0.256e-30 y[1] (numeric) 0.9193953882637205651769892627324198e0+/-0.134e-27 absolute error 0.21137522381627e-19+/-0.134e-27 relative error 0.2299067697255392983819331407602584e-17+/-0.145e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.22e-99 y[1] (closed_form) 0.1092807757148845224457259896430566e1+/-0.308e-30 y[1] (numeric) 0.1092807757148845224443242764816905e1+/-0.134e-27 absolute error 0.14017131613661e-19+/-0.134e-27 relative error 0.1282671313592424015364531541042453e-17+/-0.122e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.24e-99 y[1] (closed_form) 0.1275284491046652844723253288753848e1+/-0.316e-30 y[1] (numeric) 0.1275284491046652844716752702756147e1+/-0.134e-27 absolute error 0.6500585997701e-20+/-0.134e-27 relative error 0.5097361446280768412440738684608246e-18+/-0.105e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.26e-99 y[1] (closed_form) 0.1465002342750825186004031781414256e1+/-0.432e-30 y[1] (numeric) 0.1465002342750825186005368793041361e1+/-0.134e-27 absolute error 0.1337011627105e-20+/-0.134e-27 relative error 0.9126344635016092412415505117858294e-19+/-0.914e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e1+/-0.28e-99 y[1] (closed_form) 0.16600657141995181227665039295927e1+/-0.508e-30 y[1] (numeric) 0.166006571419951812277592128016875e1+/-0.134e-27 absolute error 0.941735057605e-20+/-0.134e-27 relative error 0.5672878185181383725517722889782606e-18+/-0.807e-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) 0.1858525596664594179823620297131448e1+/-0.596e-30 y[1] (numeric) 0.1858525596664594179841279991904826e1+/-0.134e-27 absolute error 0.17659694773378e-19+/-0.134e-27 relative error 0.9501991689041570577718619101956974e-18+/-0.721e-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) 0.2058399044602577452411540925892978e1+/-0.702e-30 y[1] (numeric) 0.2058399044602577452437522615333379e1+/-0.134e-27 absolute error 0.25981689440401e-19+/-0.134e-27 relative error 0.1262228016891514771427886254815531e-17+/-0.65e-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) 0.2257688988591049368175285714669704e1+/-0.822e-30 y[1] (numeric) 0.2257688988591049368209585898627027e1+/-0.134e-27 absolute error 0.34300183957323e-19+/-0.134e-27 relative error 0.1519260807429841554276614883592929e-17+/-0.593e-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) 0.2454404189386174110633348613061118e1+/-0.958e-30 y[1] (numeric) 0.2454404189386174110675880675737733e1+/-0.134e-27 absolute error 0.42532062676615e-19+/-0.134e-27 relative error 0.1732887470635059172073403356348946e-17+/-0.545e-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) 0.2646579133727006844557667390160582e1+/-0.111e-29 y[1] (numeric) 0.2646579133727006844608262465547811e1+/-0.134e-27 absolute error 0.50595075387229e-19+/-0.135e-27 relative error 0.1911715948428083302900707467076069e-17+/-0.51e-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) 0.283229367309428477399513645900148e1+/-0.128e-29 y[1] (numeric) 0.2832293673094284774053545118132936e1+/-0.134e-27 absolute error 0.58408659131456e-19+/-0.135e-27 relative error 0.2062238802646635817474588950598031e-17+/-0.476e-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) 0.3009692209199714903241877047438294e1+/-0.149e-29 y[1] (numeric) 0.3009692209199714903307771790601623e1+/-0.134e-27 absolute error 0.65894743163329e-19+/-0.135e-27 relative error 0.2189418006329975715702756617318517e-17+/-0.448e-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) 0.3177002234510691417048285225309812e1+/-0.173e-29 y[1] (numeric) 0.3177002234510691417121263754315603e1+/-0.134e-27 absolute error 0.72978529005791e-19+/-0.135e-27 relative error 0.2297087745581357688187513422467385e-17+/-0.424e-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) 0.3332552042559648386635761142331996e1+/-0.197e-29 y[1] (numeric) 0.3332552042559648386715350380144269e1+/-0.134e-27 absolute error 0.79589237812273e-19+/-0.135e-27 relative error 0.2388236906606341623730832032723268e-17+/-0.405e-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) 0.3474787431082490999217644454669532e1+/-0.227e-29 y[1] (numeric) 0.3474787431082490999303305272235135e1+/-0.134e-27 absolute error 0.85660817565603e-19+/-0.136e-27 relative error 0.2465210297451701107894787556150154e-17+/-0.391e-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) 0.3602287231093867429667005580934668e1+/-0.261e-29 y[1] (numeric) 0.3602287231093867429758138183982556e1+/-0.134e-27 absolute error 0.91132603047888e-19+/-0.136e-27 relative error 0.2529853873429597463286804078030949e-17+/-0.377e-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) 0.3713777506737894467595404303290366e1+/-0.299e-29 y[1] (numeric) 0.3713777506737894467691354225277681e1+/-0.134e-27 absolute error 0.95949921987315e-19+/-0.136e-27 relative error 0.2583620634602729113347513123810924e-17+/-0.366e-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) 0.380814428403412229596505456388662e1+/-0.283e-29 y[1] (numeric) 0.3808144284034122296065119205212057e1+/-0.134e-27 absolute error 0.100064641325437e-18+/-0.136e-27 relative error 0.2627648373118742526227335598170715e-17+/-0.357e-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) 0.388444468133731630517357623473227e1+/-0.391e-29 y[1] (numeric) 0.3884444681337316305277011882879034e1+/-0.134e-27 absolute error 0.103435648146764e-18+/-0.137e-27 relative error 0.2662816866557968740762403507782586e-17+/-0.352e-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) 0.394191633029918104356221333869103e1+/-0.449e-29 y[1] (numeric) 0.3941916330299181043668242599156478e1+/-0.134e-27 absolute error 0.106029260465448e-18+/-0.138e-27 relative error 0.268978972614065248380609833057618e-17+/-0.35e-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) 0.3979984993200890914543145589462478e1+/-0.509e-29 y[1] (numeric) 0.3979984993200890914650965153227028e1+/-0.134e-27 absolute error 0.10781956376455e-18+/-0.139e-27 relative error 0.2709044480035499866737213126555959e-17+/-0.349e-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) 0.3998270300546558928984752109082878e1+/-0.583e-29 y[1] (numeric) 0.3998270300546558929093540779008167e1+/-0.134e-27 absolute error 0.108788669925289e-18+/-0.139e-27 relative error 0.2720893330058693494444676454523574e-17+/-0.347e-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) 0.3996589551589506169323321444567108e1+/-0.665e-29 y[1] (numeric) 0.3996589551589506169432248340526352e1+/-0.134e-27 absolute error 0.108926895959244e-18+/-0.14e-27 relative error 0.272549619001836378006307982839636e-17+/-0.35e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e1+/-0.66e-99 y[1] (closed_form) 0.397495953981772976787318210220564e1+/-0.763e-29 y[1] (numeric) 0.3974959539817729767981414962963227e1+/-0.134e-27 absolute error 0.108232860757587e-18+/-0.141e-27 relative error 0.2722866979485028317143873021209255e-17+/-0.354e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.68e-99 y[1] (closed_form) 0.3933596385158922028564403079531354e1+/-0.715e-29 y[1] (numeric) 0.3933596385158922028671116578421946e1+/-0.134e-27 absolute error 0.106713498890592e-18+/-0.141e-27 relative error 0.271287362610998144388922448354825e-17+/-0.358e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.70e-99 y[1] (closed_form) 0.3872913374581592675397315253343492e1+/-0.819e-29 y[1] (numeric) 0.3872913374581592675501699244663357e1+/-0.134e-27 absolute error 0.104383991319865e-18+/-0.142e-27 relative error 0.2695231760280257936314686430028472e-17+/-0.366e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36e1+/-0.72e-99 y[1] (closed_form) 0.3793516832668294011740583450531908e1+/-0.111e-28 y[1] (numeric) 0.3793516832668294011841851064246846e1+/-0.134e-27 absolute error 0.101267613714938e-18+/-0.145e-27 relative error 0.2669491613767484329993737000305188e-17+/-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] 0.37e1+/-0.74e-99 y[1] (closed_form) 0.3696200063420816317671340212708778e1+/-0.105e-28 y[1] (numeric) 0.3696200063420816317768735716599649e1+/-0.134e-27 absolute error 0.97395503890871e-19+/-0.144e-27 relative error 0.2635017104586376336806789443010928e-17+/-0.389e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38e1+/-0.76e-99 y[1] (closed_form) 0.3581935423828833399993136348701432e1+/-0.118e-28 y[1] (numeric) 0.3581935423828833400085942699390329e1+/-0.134e-27 absolute error 0.92806350688897e-19+/-0.145e-27 relative error 0.2590955439104305034305602923328724e-17+/-0.404e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39e1+/-0.78e-99 y[1] (closed_form) 0.3451864608400280258744660969228722e1+/-0.162e-28 y[1] (numeric) 0.3451864608400280258832206976639595e1+/-0.134e-27 absolute error 0.87546007410873e-19+/-0.15e-27 relative error 0.2536194704677163087441981775929781e-17+/-0.434e-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) 0.33072872417272238292783363661955e1+/-0.184e-28 y[1] (numeric) 0.3307287241727223829360003399863585e1+/-0.134e-27 absolute error 0.81667033668085e-19+/-0.152e-27 relative error 0.2469305739087680901182929378908525e-17+/-0.459e-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) 0.3149647893066537823070057359319572e1+/-0.204e-28 y[1] (numeric) 0.3149647893066537823145285529542346e1+/-0.134e-27 absolute error 0.75228170222774e-19+/-0.154e-27 relative error 0.2388462862416372610273594365229513e-17+/-0.488e-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) 0.2980521642681399155311089762754324e1+/-0.232e-28 y[1] (numeric) 0.2980521642681399155379383514824324e1+/-0.134e-27 absolute error 0.6829375207e-19+/-0.157e-27 relative error 0.2291335553214106099587798106657936e-17+/-0.526e-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) 0.2801598344159950593813524792672054e1+/-0.262e-28 y[1] (numeric) 0.2801598344159950593874457858296013e1+/-0.134e-27 absolute error 0.60933065623959e-19+/-0.16e-27 relative error 0.217493937883624661181864390668819e-17+/-0.571e-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) 0.2614665739956839366238279484435364e1+/-0.298e-28 y[1] (numeric) 0.2614665739956839366291499140865699e1+/-0.134e-27 absolute error 0.53219656430335e-19+/-0.163e-27 relative error 0.2035428682796505526525268646525972e-17+/-0.623e-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) 0.242159159886155941196096364958769e1+/-0.338e-28 y[1] (numeric) 0.2421591598861559412006194243911655e1+/-0.134e-27 absolute error 0.45230594323965e-19+/-0.167e-27 relative error 0.1867804395473986750831685360241755e-17+/-0.689e-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) 0.2224305053870109034859815642458316e1+/-0.38e-28 y[1] (numeric) 0.2224305053870109034896861345831206e1+/-0.134e-27 absolute error 0.3704570337289e-19+/-0.172e-27 relative error 0.1665495625630733667455817939256165e-17+/-0.773e-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) 0.2024777326925781474301016592654222e1+/-0.430e-28 y[1] (numeric) 0.2024777326925781474329763356955818e1+/-0.134e-27 absolute error 0.28746764301596e-19+/-0.177e-27 relative error 0.1419749417346657057177458005869255e-17+/-0.874e-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) 0.1825002033121106861359569484701032e1+/-0.486e-28 y[1] (numeric) 0.1825002033121106861379986182067282e1+/-0.134e-27 absolute error 0.2041669736625e-19+/-0.182e-27 relative error 0.1118721897056382677636873677854307e-17+/-0.997e-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) 0.1626975261154849191011341711756088e1+/-0.546e-28 y[1] (numeric) 0.1626975261154849191023480445598215e1+/-0.134e-27 absolute error 0.12138733842127e-19+/-0.188e-27 relative error 0.7460920969081460682233557443865491e-18+/-0.115e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; Iterations 200 Total Elapsed Time 6 Minutes 29 Seconds Elapsed Time(since restart) 6 Minutes 29 Seconds Time to Timeout 13 Minutes 31 Seconds Percent Done 0.1005e3+/-0.155e-28%