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/mtest1postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(10.0) $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(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_y1 (x) x = c(x) return(c(1.0) + cos(c(x))) end def exact_soln_y2 (x) x = c(x) return(c(1.0) + sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y1[1] (closed_form) 0.1995004165278025766095561987803869e1+/-0.606e-31 y1[1] (numeric) 0.1995004165278025766095561987803869e1+/-0.16e-30 absolute error 0.0e0+/-0.2206e-30 relative error 0.0e0+/-0.110576210235258814328038380553607637112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1099833416646828152306814198410621e1+/-0.106e-30 y2[1] (numeric) 0.1099833416646828152306814198410621e1+/-0.16e-30 absolute error 0.0e0+/-0.266e-30 relative error 0.0e0+/-0.2418548081681139803685505038819834e-28% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.5e-31 y1[1] (closed_form) 0.1980066577841241631124196516748168e1+/-0.682e-31 y1[1] (numeric) 0.198006657784124163112352244320057e1+/-0.789e-30 absolute error 0.674073547598e-21+/-0.857e-30 relative error 0.3404297386469224420313413754458896e-19+/-0.432e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1198669330795061215459412627118388e1+/-0.112e-30 y2[1] (numeric) 0.1198669330795061215463524209355013e1+/-0.552e-30 absolute error 0.4111582236625e-20+/-0.664e-30 relative error 0.3430122162129436401449515583716011e-18+/-0.553e-28% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.5e-31 y1[1] (closed_form) 0.1955336489125606019642310227568049e1+/-0.778e-31 y1[1] (numeric) 0.1955336489125606019640147868987909e1+/-0.134e-29 absolute error 0.216235858014e-20+/-0.141e-29 relative error 0.1105875429710295448311382873449078e-18+/-0.721e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1295520206661339575105320745685026e1+/-0.117e-30 y2[1] (numeric) 0.129552020666133957511336823845702e1+/-0.115e-29 absolute error 0.8047492771994e-20+/-0.126e-29 relative error 0.6211784834088416261396614192603142e-18+/-0.972e-28% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.5e-31 y1[1] (closed_form) 0.19210609940028850827985267320518e1+/-0.89e-31 y1[1] (numeric) 0.1921060994002885082794094285312402e1+/-0.175e-29 absolute error 0.4432446739398e-20+/-0.183e-29 relative error 0.2307290998690353542428170761320638e-18+/-0.952e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1389418342308650491666311756795704e1+/-0.121e-30 y2[1] (numeric) 0.1389418342308650491677998876570366e1+/-0.16e-29 absolute error 0.11687119774662e-19+/-0.172e-29 relative error 0.8411519712085231925924884656181689e-18+/-0.123e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.5e-31 y1[1] (closed_form) 0.1877582561890372716116281582603829e1+/-0.102e-30 y1[1] (numeric) 0.1877582561890372716108845491849242e1+/-0.248e-29 absolute error 0.7436090754587e-20+/-0.258e-29 relative error 0.396046006472293519299606225973829e-18+/-0.137e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.147942553860420300027328793521557e1+/-0.124e-30 y2[1] (numeric) 0.1479425538604203000288202903953961e1+/-0.194e-29 absolute error 0.14914968738391e-19+/-0.206e-29 relative error 0.1008159474687915668953133528959019e-17+/-0.139e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.5e-31 y1[1] (closed_form) 0.1825335614909678297240952498955375e1+/-0.118e-30 y1[1] (numeric) 0.1825335614909678297229842557002208e1+/-0.315e-29 absolute error 0.11109941953167e-19+/-0.326e-29 relative error 0.6086520123981005466479748339085225e-18+/-0.178e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1564642473395035357200945445658656e1+/-0.125e-30 y2[1] (numeric) 0.1564642473395035357218568052750112e1+/-0.264e-29 absolute error 0.17622607091456e-19+/-0.276e-29 relative error 0.1126302487060678618499749486264792e-17+/-0.176e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7e0+/-0.5e-31 y1[1] (closed_form) 0.1764842187284488426255859990191864e1+/-0.137e-30 y1[1] (numeric) 0.1764842187284488426240483473877188e1+/-0.411e-29 absolute error 0.15376516314676e-19+/-0.424e-29 relative error 0.8712686281788968585683993532217167e-18+/-0.24e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1644217687237691053672614351398718e1+/-0.125e-30 y2[1] (numeric) 0.1644217687237691053692324860192867e1+/-0.353e-29 absolute error 0.19710508794149e-19+/-0.365e-29 relative error 0.119877732414270115724991845761553e-17+/-0.221e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.5e-31 y1[1] (closed_form) 0.1696706709347165420920749981642324e1+/-0.158e-30 y1[1] (numeric) 0.1696706709347165420900604605555432e1+/-0.491e-29 absolute error 0.20145376086892e-19+/-0.506e-29 relative error 0.1187322238776509001949485446778788e-17+/-0.298e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1717356090899522761627174610581384e1+/-0.123e-30 y2[1] (numeric) 0.1717356090899522761648264383469842e1+/-0.429e-29 absolute error 0.21089772888458e-19+/-0.441e-29 relative error 0.122803727195630844488912008834877e-17+/-0.256e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9e0+/-0.5e-31 y1[1] (closed_form) 0.1621609968270664456484716151407133e1+/-0.182e-30 y1[1] (numeric) 0.1621609968270664456459401640319921e1+/-0.571e-29 absolute error 0.25314511087212e-19+/-0.589e-29 relative error 0.1561072735277286539578710866248568e-17+/-0.363e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1783326909627483388461382315713547e1+/-0.119e-30 y2[1] (numeric) 0.178332690962748338848306600730714e1+/-0.545e-29 absolute error 0.21683691593593e-19+/-0.556e-29 relative error 0.1215912319638718140152932422162108e-17+/-0.311e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.5e-31 y1[1] (closed_form) 0.1540302305868139717400936607442976e1+/-0.211e-30 y1[1] (numeric) 0.1540302305868139717370164706328036e1+/-0.666e-29 absolute error 0.3077190111494e-19+/-0.687e-29 relative error 0.1997783227208534907504959798064155e-17+/-0.446e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1841470984807896506652502321630299e1+/-0.114e-30 y2[1] (numeric) 0.1841470984807896506673931467117152e1+/-0.675e-29 absolute error 0.21429145486853e-19+/-0.686e-29 relative error 0.1163697156438688220195020616969038e-17+/-0.372e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.5e-31 y1[1] (closed_form) 0.1453596121425577387771370051784716e1+/-0.244e-30 y1[1] (numeric) 0.1453596121425577387734972813348422e1+/-0.775e-29 absolute error 0.36397238436294e-19+/-0.799e-29 relative error 0.2503944383161832811666668368451462e-17+/-0.549e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1891207360061435339951802577871702e1+/-0.107e-30 y2[1] (numeric) 0.1891207360061435339972080383419198e1+/-0.791e-29 absolute error 0.20277805547496e-19+/-0.801e-29 relative error 0.1072214817672731623768065133875454e-17+/-0.423e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.5e-31 y1[1] (closed_form) 0.1362357754476673577638373355623075e1+/-0.282e-30 y1[1] (numeric) 0.1362357754476673577596309568518576e1+/-0.914e-29 absolute error 0.42063787104499e-19+/-0.942e-29 relative error 0.3087572773471464852726578270783358e-17+/-0.691e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1932039085967226349670134435494825e1+/-0.981e-31 y2[1] (numeric) 0.1932039085967226349688331559838961e1+/-0.901e-29 absolute error 0.18197124344136e-19+/-0.91e-29 relative error 0.9418610874026946191593987564839365e-18+/-0.471e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.5e-31 y1[1] (closed_form) 0.1267498828624587406997984109292871e1+/-0.324e-30 y1[1] (numeric) 0.1267498828624587406950343755322578e1+/-0.102e-28 absolute error 0.47640353970293e-19+/-0.105e-28 relative error 0.3758611281873089610100623940697993e-17+/-0.828e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1963558185417192964701348630039554e1+/-0.874e-31 y2[1] (numeric) 0.1963558185417192964716519731422918e1+/-0.1e-28 absolute error 0.15171101383364e-19+/-0.1e-28 relative error 0.7726331460934338888229839221434186e-18+/-0.509e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.14e1+/-0.5e-31 y1[1] (closed_form) 0.116996714290024093861674803520365e1+/-0.374e-30 y1[1] (numeric) 0.1169967142900240938563754690555728e1+/-0.112e-28 absolute error 0.52993344647922e-19+/-0.115e-28 relative error 0.4529472897551325477540012263765881e-17+/-0.982e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1985449729988460180659474578806096e1+/-0.749e-31 y2[1] (numeric) 0.1985449729988460180670675389380712e1+/-0.11e-28 absolute error 0.11200810574616e-19+/-0.11e-28 relative error 0.5641447580081063692251316679615195e-18+/-0.554e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.15e1+/-0.5e-31 y1[1] (closed_form) 0.1070737201667702910088189851434275e1+/-0.430e-30 y1[1] (numeric) 0.1070737201667702910030200974985188e1+/-0.122e-28 absolute error 0.57988876449087e-19+/-0.126e-28 relative error 0.5415789827678324376845076637394609e-17+/-0.117e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1997494986604054430941723371141486e1+/-0.685e-31 y2[1] (numeric) 0.1997494986604054430948028052009704e1+/-0.12e-28 absolute error 0.6304680868218e-20+/-0.12e-28 relative error 0.3156293713125459027927222928488433e-18+/-0.6e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.16e1+/-0.5e-31 y1[1] (closed_form) 0.9708004776987112737942295370535103e0+/-0.495e-30 y1[1] (numeric) 0.9708004776987112737317346176550332e0+/-0.134e-28 absolute error 0.624949193984771e-19+/-0.138e-28 relative error 0.6437462777791550449069594529342484e-17+/-0.142e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1999573603041505164342113825546232e1+/-0.715e-31 y2[1] (numeric) 0.1999573603041505164342632349897522e1+/-0.132e-28 absolute error 0.51852435129e-21+/-0.132e-28 relative error 0.2593174617334838792298119462805439e-19+/-0.66e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.17e1+/-0.5e-31 y1[1] (closed_form) 0.871155505704475315912357142665148e0+/-0.565e-30 y1[1] (numeric) 0.8711555057044753158459737067528132e0+/-0.147e-28 absolute error 0.663834359123348e-19+/-0.152e-28 relative error 0.7620159142385567523751676051740804e-17+/-0.174e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1991664810452468615346133398647874e1+/-0.751e-31 y2[1] (numeric) 0.1991664810452468615340028708048102e1+/-0.145e-28 absolute error 0.6104690599772e-20+/-0.145e-28 relative error 0.3065119475794287711955352764726297e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.18e1+/-0.5e-31 y1[1] (closed_form) 0.772797905306912944683325693469441e0+/-0.652e-30 y1[1] (numeric) 0.7727979053069129446137932039064685e0+/-0.161e-28 absolute error 0.695324895629725e-19+/-0.167e-28 relative error 0.8997499745468125794583907549747805e-17+/-0.216e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1973847630878195186532373178843356e1+/-0.897e-31 y2[1] (numeric) 0.1973847630878195186518877858691068e1+/-0.159e-28 absolute error 0.13495320152288e-19+/-0.159e-28 relative error 0.6837062770789315882844073698949256e-18+/-0.805e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.19e1+/-0.5e-31 y1[1] (closed_form) 0.676710433136496577721166304919709e0+/-0.743e-30 y1[1] (numeric) 0.6767104331364965776493380113479642e0+/-0.177e-28 absolute error 0.718282935717448e-19+/-0.184e-28 relative error 0.1061433222461587196564537019219078e-16+/-0.271e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.194630008768741448848970961163496e1+/-0.108e-30 y2[1] (numeric) 0.1946300087687414488468141836119798e1+/-0.175e-28 absolute error 0.21567775515162e-19+/-0.176e-28 relative error 0.1108142349250404618522861919739308e-17+/-0.904e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.5e-31 y1[1] (closed_form) 0.58385316345285761300243177049926e0+/-0.851e-30 y1[1] (numeric) 0.5838531634528576129292646002314012e0+/-0.195e-28 absolute error 0.731671702678588e-19+/-0.203e-28 relative error 0.1253177594091542133294178772349692e-16+/-0.347e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1909297426825681695396019865911743e1+/-0.128e-30 y2[1] (numeric) 0.1909297426825681695365798370455173e1+/-0.193e-28 absolute error 0.3022149545657e-19+/-0.194e-28 relative error 0.158285948705304644094584677762313e-17+/-0.101e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.5e-31 y1[1] (closed_form) 0.495153895400142548379061476280853e0+/-0.976e-30 y1[1] (numeric) 0.4951538954001425483056040825645186e0+/-0.214e-28 absolute error 0.734573937163344e-19+/-0.223e-28 relative error 0.1483526523748181191626236754985465e-16+/-0.45e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1863209366648873770680759313269029e1+/-0.148e-30 y2[1] (numeric) 0.1863209366648873770641417163316985e1+/-0.213e-28 absolute error 0.39342149952044e-19+/-0.214e-28 relative error 0.2111525986089469975064368090847285e-17+/-0.114e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.5e-31 y1[1] (closed_form) 0.411498882744654291475857387345094e0+/-0.11e-29 y1[1] (numeric) 0.4114988827446542914032364983013024e0+/-0.235e-28 absolute error 0.726208890437916e-19+/-0.246e-28 relative error 0.1764789458465060802285820302866859e-16+/-0.597e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.180849640381959018430403691041612e1+/-0.168e-30 y2[1] (numeric) 0.180849640381959018425523384946688e1+/-0.234e-28 absolute error 0.4880306094924e-19+/-0.235e-28 relative error 0.2698543433438225251496901321382358e-17+/-0.129e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.5e-31 y1[1] (closed_form) 0.333723978720175806682119428834002e0+/-0.126e-29 y1[1] (numeric) 0.3337239787201758066115246651729408e0+/-0.258e-28 absolute error 0.705947636610612e-19+/-0.27e-28 relative error 0.2115363838456876302766397382295985e-16+/-0.809e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1745705212176720177385406211643506e1+/-0.189e-30 y2[1] (numeric) 0.174570521217672017732693938837152e1+/-0.257e-28 absolute error 0.58466823271986e-19+/-0.258e-28 relative error 0.3349180770279290533607258523029419e-17+/-0.147e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.5e-31 y1[1] (closed_form) 0.262606284458754500391177772665234e0+/-0.142e-29 y1[1] (numeric) 0.2626062844587545003238451250869434e0+/-0.284e-28 absolute error 0.673326475782906e-19+/-0.298e-28 relative error 0.2564015088864562505718623048747052e-16+/-0.113e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1675463180551150926565771525341286e1+/-0.209e-30 y2[1] (numeric) 0.1675463180551150926497584419422348e1+/-0.283e-28 absolute error 0.68187105918938e-19+/-0.285e-28 relative error 0.4069746605622664526368860517059405e-17+/-0.17e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.25e1+/-0.5e-31 y1[1] (closed_form) 0.198856384453066285166497209532666e0+/-0.163e-29 y1[1] (numeric) 0.1988563844530662851036913872254133e0+/-0.313e-28 absolute error 0.628058223072527e-19+/-0.329e-28 relative error 0.3158350810812212751956287906331795e-16+/-0.165e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1598472144103956494051854702186177e1+/-0.229e-30 y2[1] (numeric) 0.1598472144103956493974044090707334e1+/-0.312e-28 absolute error 0.77810611478843e-19+/-0.314e-28 relative error 0.4867811539028145478084396890886108e-17+/-0.196e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.26e1+/-0.5e-31 y1[1] (closed_form) 0.143111246631052766202297848354817e0+/-0.185e-29 y1[1] (numeric) 0.1431112466310527661452937279338611e0+/-0.344e-28 absolute error 0.570041204209559e-19+/-0.362e-28 relative error 0.3983203400352949731573661361179756e-16+/-0.252e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.151550137182146423525772693520938e1+/-0.247e-30 y2[1] (numeric) 0.1515501371821464235170547766094254e1+/-0.343e-28 absolute error 0.87179169115126e-19+/-0.345e-28 relative error 0.5752496878993011185125180006214793e-17+/-0.227e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.27e1+/-0.5e-31 y1[1] (closed_form) 0.9592785798293885201747271805669e-1+/-0.209e-29 y1[1] (numeric) 0.959278579829388519675361373952738e-1+/-0.379e-28 absolute error 0.499365806614162e-19+/-0.399e-28 relative error 0.520563908247566810810833403575354e-16+/-0.415e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1427379880233829934556053085857896e1+/-0.264e-30 y2[1] (numeric) 0.1427379880233829934459921151258311e1+/-0.378e-28 absolute error 0.96131934599585e-19+/-0.38e-28 relative error 0.6734852853876355464624767196066576e-17+/-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.28e1+/-0.5e-31 y1[1] (closed_form) 0.57777659331341847413211882633865e-1+/-0.238e-29 y1[1] (numeric) 0.577776593313418473715800361145015e-1+/-0.418e-28 absolute error 0.416318465193635e-19+/-0.441e-28 relative error 0.720552666916017628639644278574185e-16+/-0.763e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1334988150155904919543853752712435e1+/-0.279e-30 y2[1] (numeric) 0.1334988150155904919439346083490917e1+/-0.417e-28 absolute error 0.104507669221518e-18+/-0.419e-28 relative error 0.7828359316096791024447334463255737e-17+/-0.313e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.29e1+/-0.5e-31 y1[1] (closed_form) 0.29041834850409478218893330654485e-1+/-0.271e-29 y1[1] (numeric) 0.290418348504094781867550312358769e-1+/-0.461e-28 absolute error 0.321382994186081e-19+/-0.488e-28 relative error 0.1106620831092390943511409385064563e-15+/-0.168e-24% Desired digits 8 Estimated correct digits 11 Correct digits 18 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1239249329213982328184256918739585e1+/-0.293e-30 y2[1] (numeric) 0.123924932921398232807210985064955e1+/-0.46e-28 absolute error 0.112147068090035e-18+/-0.462e-28 relative error 0.9049596836269133214794942375368925e-17+/-0.372e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.3e1+/-0.5e-31 y1[1] (closed_form) 0.10007503399554542728427205268761e-1+/-0.307e-29 y1[1] (numeric) 0.1000750339955454270690328428477864e-1+/-0.508e-28 absolute error 0.2152392098398236e-19+/-0.538e-28 relative error 0.2150778283516789994388950996753324e-15+/-0.537e-24% Desired digits 8 Estimated correct digits 10 Correct digits 18 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1141120008059867222100744802808131e1+/-0.305e-30 y2[1] (numeric) 0.1141120008059867221981849695409016e1+/-0.507e-28 absolute error 0.118895107399115e-18+/-0.51e-28 relative error 0.1041915894553987515159264674908086e-16+/-0.446e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.31e1+/-0.5e-31 y1[1] (closed_form) 0.864849726720535507623945458561e-3+/-0.35e-29 y1[1] (numeric) 0.86484972672053549774806314345183e-3+/-0.56e-28 absolute error 0.987588231510917e-20+/-0.595e-28 relative error 0.1141918880238072596628530332119047e-14+/-0.687e-23% Desired digits 8 Estimated correct digits 9 Correct digits 17 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.1041580662433290579194698271596686e1+/-0.314e-30 y2[1] (numeric) 0.1041580662433290579070094891943491e1+/-0.56e-28 absolute error 0.124603379653195e-18+/-0.563e-28 relative error 0.1196291215335186672678344575074356e-16+/-0.54e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.32e1+/-0.5e-31 y1[1] (closed_form) 0.1705224205246915338339277716446e-2+/-0.397e-29 y1[1] (numeric) 0.1705224205246915341039416029540671e-2+/-0.618e-28 absolute error 0.2700138313094671e-20+/-0.657e-28 relative error 0.1583450612996484386725226174441707e-15+/-0.385e-23% Desired digits 8 Estimated correct digits 9 Correct digits 18 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.9416258565724200908627825853809178e0+/-0.322e-30 y2[1] (numeric) 0.9416258565724200907336501997164679e0+/-0.618e-28 absolute error 0.1291323856644499e-18+/-0.621e-28 relative error 0.1371376802825914931035281063236734e-16+/-0.659e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.33e1+/-0.5e-31 y1[1] (closed_form) 0.1252023009113511606340894889718e-1+/-0.448e-29 y1[1] (numeric) 0.1252023009113511607948985328839352e-1+/-0.682e-28 absolute error 0.1608090439121352e-19+/-0.726e-28 relative error 0.1284393679202391088245283635124468e-15+/-0.579e-24% Desired digits 8 Estimated correct digits 10 Correct digits 18 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.84225430585675161798834572239755e0+/-0.319e-30 y2[1] (numeric) 0.8422543058567516178559919700618428e0+/-0.682e-28 absolute error 0.1323537523357072e-18+/-0.685e-28 relative error 0.1571422685706252426311524234062756e-16+/-0.813e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.5e-31 y1[1] (closed_form) 0.33201807420538985717798460234323e-1+/-0.507e-29 y1[1] (numeric) 0.3320180742053898574792528857899548e-1+/-0.752e-28 absolute error 0.3012682834467248e-19+/-0.802e-28 relative error 0.9073851903024926448984601261575544e-16+/-0.241e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.744458897973168680750097570636293e0+/-0.359e-30 y2[1] (numeric) 0.7444588979731686806159452247991116e0+/-0.752e-28 absolute error 0.1341523458371814e-18+/-0.755e-28 relative error 0.1802011450228061273724004537239132e-16+/-0.101e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.5e-31 y1[1] (closed_form) 0.63543312709203662301342373328254e-1+/-0.575e-29 y1[1] (numeric) 0.6354331270920366234602579843955735e-1+/-0.83e-28 absolute error 0.4468342511130335e-19+/-0.887e-28 relative error 0.7031963428754536483055495727482113e-16+/-0.139e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.649216772310380151879631199956399e0+/-0.407e-30 y2[1] (numeric) 0.6492167723103801517452029491916503e0+/-0.83e-28 absolute error 0.1344282507647487e-18+/-0.834e-28 relative error 0.2070621963236659943476175867850615e-16+/-0.128e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.36e1+/-0.5e-31 y1[1] (closed_form) 0.103241583665852994129708274734046e0+/-0.65e-29 y1[1] (numeric) 0.1032415836658529941892912717497123e0+/-0.916e-28 absolute error 0.595829970156663e-19+/-0.981e-28 relative error 0.5771220752338506687483644393120574e-16+/-0.95e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.55747955670514761573327265250734e0+/-0.456e-30 y2[1] (numeric) 0.5574795567051476156001740652839107e0+/-0.916e-28 absolute error 0.1330985872234293e-18+/-0.92e-28 relative error 0.2387506153769607881586324526243188e-16+/-0.165e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.37e1+/-0.5e-31 y1[1] (closed_form) 0.151899968289591841164329893645611e0+/-0.736e-29 y1[1] (numeric) 0.1518999682895918412389764253385444e0+/-0.101e-27 absolute error 0.746465316929334e-19+/-0.108e-27 relative error 0.4914190077421376728980368498320192e-16+/-0.71e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.470163859091506786789222374298825e0+/-0.517e-30 y2[1] (numeric) 0.4701638590915067866591232347989151e0+/-0.101e-27 absolute error 0.1300991394999099e-18+/-0.101e-27 relative error 0.2767102085458019816538004872152219e-16+/-0.214e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.38e1+/-0.5e-31 y1[1] (closed_form) 0.209032288085583300003431825649284e0+/-0.832e-29 y1[1] (numeric) 0.2090322880855833000931176175274306e0+/-0.111e-27 absolute error 0.896857918781466e-19+/-0.119e-27 relative error 0.4290523377968617224204014421630476e-16+/-0.569e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.388142109057280924266413913881157e0+/-0.586e-30 y2[1] (numeric) 0.3881421090572809241410281418293479e0+/-0.111e-27 absolute error 0.1253857720518091e-18+/-0.111e-27 relative error 0.3230408892154110990567556007344892e-16+/-0.285e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.39e1+/-0.5e-31 y1[1] (closed_form) 0.274067695799859870627669515385639e0+/-0.802e-29 y1[1] (numeric) 0.2740676957998598707321750885558749e0+/-0.121e-27 absolute error 0.1045055731702359e-18+/-0.129e-27 relative error 0.38131299227090204605671143981205e-16+/-0.47e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.312233840816026181909111874621362e0+/-0.663e-30 y2[1] (numeric) 0.3122338408160261817901762636929563e0+/-0.121e-27 absolute error 0.1189356109284057e-18+/-0.121e-27 relative error 0.3809183867372169629398605946086777e-16+/-0.387e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.4e1+/-0.5e-31 y1[1] (closed_form) 0.34635637913638808536083181690225e0+/-0.104e-28 y1[1] (numeric) 0.346356379136388085479737920348691e0+/-0.133e-27 absolute error 0.118906103446441e-18+/-0.143e-27 relative error 0.3433056545484274134953721820389448e-16+/-0.412e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.243197504692071748627360905488224e0+/-0.749e-30 y2[1] (numeric) 0.2431975046920717485166129340679118e0+/-0.133e-27 absolute error 0.1107479714203122e-18+/-0.133e-27 relative error 0.4553828443286761636770408931345568e-16+/-0.546e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.41e1+/-0.5e-31 y1[1] (closed_form) 0.425176053466731088464971320340214e0+/-0.117e-28 y1[1] (numeric) 0.4251760534667310885976568758066465e0+/-0.146e-27 absolute error 0.1326855554664325e-18+/-0.157e-27 relative error 0.3120720331838133420760697205898071e-16+/-0.369e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.181722888935589495734962975641578e0+/-0.851e-30 y2[1] (numeric) 0.1817228889355894956341179599574118e0+/-0.146e-27 absolute error 0.1008450156841662e-18+/-0.146e-27 relative error 0.55493843552041517713225809160885e-16+/-0.803e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.42e1+/-0.5e-31 y1[1] (closed_form) 0.509739178659300422344455118622838e0+/-0.132e-28 y1[1] (numeric) 0.5097391786593004224900977610224738e0+/-0.16e-27 absolute error 0.1456426423996358e-18+/-0.173e-27 relative error 0.2857199299114115367000067216482874e-16+/-0.339e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.128424227586411939981422902091227e0+/-0.962e-30 y2[1] (numeric) 0.1284242275864119398921507748220507e0+/-0.16e-27 absolute error 0.892721272691763e-19+/-0.16e-27 relative error 0.6951346248830530712407570836068189e-16+/-0.124e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.43e1+/-0.5e-31 y1[1] (closed_form) 0.599200827920024703093237603663973e0+/-0.127e-28 y1[1] (numeric) 0.5992008279200247032508168682216537e0+/-0.176e-27 absolute error 0.1575792645576807e-18+/-0.188e-27 relative error 0.2629823878993585011426261823937111e-16+/-0.313e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.83834063250545015968290639715396e-1+/-0.108e-29 y2[1] (numeric) 0.838340632505450158921926468669965e-1+/-0.176e-27 absolute error 0.760979928483995e-19+/-0.177e-27 relative error 0.9077216336392328832385892040143311e-16+/-0.211e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.44e1+/-0.5e-31 y1[1] (closed_form) 0.692667130021580316880860257782318e0+/-0.169e-28 y1[1] (numeric) 0.6926671300215803170491634323194718e0+/-0.194e-27 absolute error 0.1683031745371538e-18+/-0.21e-27 relative error 0.2429784340017841591516350823105434e-16+/-0.303e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.4839792611048404596460766661964e-1+/-0.122e-29 y2[1] (numeric) 0.483979261104840459031932816282496e-1+/-0.194e-27 absolute error 0.614143849913904e-19+/-0.195e-27 relative error 0.1268946624927523604314650124183667e-15+/-0.402e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.45e1+/-0.5e-31 y1[1] (closed_form) 0.789204200569220294019518175206155e0+/-0.19e-28 y1[1] (numeric) 0.7892042005692202941971488024962724e0+/-0.213e-27 absolute error 0.1776306272901174e-18+/-0.232e-27 relative error 0.2250756232189334364600345734135311e-16+/-0.293e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.22469882334902944610864985501343e-1+/-0.137e-29 y2[1] (numeric) 0.224698823349029445655293420403245e-1+/-0.213e-27 absolute error 0.453356434610185e-19+/-0.214e-27 relative error 0.2017618196006201770755256955309203e-15+/-0.952e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.46e1+/-0.5e-31 y1[1] (closed_form) 0.887847473064945482570092178770842e0+/-0.216e-28 y1[1] (numeric) 0.8878474730649454827554811601293097e0+/-0.234e-27 absolute error 0.1853889813584677e-18+/-0.255e-27 relative error 0.2088072410889281350281547542251324e-16+/-0.287e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.6308996366535543861895340091119e-2+/-0.156e-29 y2[1] (numeric) 0.630899636653554383389748385227364e-2+/-0.234e-27 absolute error 0.2799785623884536e-19+/-0.235e-27 relative error 0.4437767057111147033436534721614057e-15+/-0.372e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.47e1+/-0.5e-31 y1[1] (closed_form) 0.9876113365371092628494917036728884e0+/-0.242e-28 y1[1] (numeric) 0.9876113365371092630409109213082616e0+/-0.257e-27 absolute error 0.1914192176353732e-18+/-0.281e-27 relative error 0.1938203932597129195478139017362044e-16+/-0.284e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.76742435899115820463458425033e-4+/-0.176e-29 y2[1] (numeric) 0.7674243589911581090571319596738e-4+/-0.257e-27 absolute error 0.955774522906562e-20+/-0.258e-27 relative error 0.1245431568217362059350277596456101e-13+/-0.336e-21% Desired digits 8 Estimated correct digits 8 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.48e1+/-0.5e-31 y1[1] (closed_form) 0.1087498983439446569320215257649483e1+/-0.272e-28 y1[1] (numeric) 0.1087498983439446569515793600203538e1+/-0.283e-27 absolute error 0.195578342554055e-18+/-0.31e-27 relative error 0.1798423221836005234202926205238072e-16+/-0.285e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.3835391164159328218403533496345e-2+/-0.199e-29 y2[1] (numeric) 0.3835391164159328228212268173680841e-2+/-0.283e-27 absolute error 0.9808734677335841e-20+/-0.284e-27 relative error 0.2557427458506907755743011823501996e-15+/-0.74e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.49e1+/-0.5e-31 y1[1] (closed_form) 0.1186512369422575404494329144121955e1+/-0.307e-28 y1[1] (numeric) 0.1186512369422575404692070787679673e1+/-0.312e-27 absolute error 0.197741643557718e-18+/-0.342e-27 relative error 0.1666578863007979955447648360874636e-16+/-0.288e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.17547387375667487723622750081641e-1+/-0.226e-29 y2[1] (numeric) 0.1754738737566748775353082090992291e-1+/-0.312e-27 absolute error 0.2990807082828191e-19+/-0.314e-27 relative error 0.1704417312274912513471904399442762e-15+/-0.178e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5e1+/-0.5e-31 y1[1] (closed_form) 0.1283662185463226264466639171513592e1+/-0.342e-28 y1[1] (numeric) 0.128366218546322626466444393756661e1+/-0.343e-27 absolute error 0.197804766053018e-18+/-0.377e-27 relative error 0.1540940975694766351682576953303035e-16+/-0.293e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.41075725336861531106845593843971e-1+/-0.255e-29 y2[1] (numeric) 0.4107572533686153115737672026117734e-1+/-0.343e-27 absolute error 0.5053112641720634e-19+/-0.345e-27 relative error 0.1230194378864917855412871716398096e-15+/-0.839e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.51e1+/-0.5e-31 y1[1] (closed_form) 0.1377977742712980563320575552928983e1+/-0.389e-28 y1[1] (numeric) 0.137797774271298056351626113572224e1+/-0.378e-27 absolute error 0.195685582793257e-18+/-0.416e-27 relative error 0.142009247847493291711647256481569e-16+/-0.301e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.74185317672267703053853752455082e-1+/-0.288e-29 y2[1] (numeric) 0.7418531767226770312530906560348177e-1+/-0.378e-27 absolute error 0.7145531314839977e-19+/-0.38e-27 relative error 0.9632002044403393326457138536874975e-16+/-0.512e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.52e1+/-0.5e-31 y1[1] (closed_form) 0.1468516671300376958639093926608702e1+/-0.435e-28 y1[1] (numeric) 0.1468516671300376958830419755361926e1+/-0.417e-27 absolute error 0.191325828753224e-18+/-0.46e-27 relative error 0.1302850914071028346447134751596598e-16+/-0.313e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.116545344279846735326915559578129e0+/-0.326e-29 y2[1] (numeric) 0.1165453442798467354193625400014745e0+/-0.417e-27 absolute error 0.924469804233455e-19+/-0.42e-27 relative error 0.7932275715910483195188641522729655e-16+/-0.36e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.53e1+/-0.5e-31 y1[1] (closed_form) 0.1554374336179160929444946633560905e1+/-0.492e-28 y1[1] (numeric) 0.1554374336179160929629639110585601e1+/-0.46e-27 absolute error 0.184692477024696e-18+/-0.509e-27 relative error 0.1188211055251287295420463330856655e-16+/-0.327e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.167732557776098836435440332145388e0+/-0.368e-29 y2[1] (numeric) 0.1677325577760988365487043276712884e0+/-0.46e-27 absolute error 0.1132639955259004e-18+/-0.463e-27 relative error 0.6752654167302039984437604049520205e-16+/-0.276e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.54e1+/-0.5e-31 y1[1] (closed_form) 0.1634692875942634362406751838980839e1+/-0.55e-28 y1[1] (numeric) 0.1634692875942634362582530673034071e1+/-0.507e-27 absolute error 0.175778834053232e-18+/-0.562e-27 relative error 0.1075301890894155568936588797553754e-16+/-0.343e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.227235512444012637641530217265753e0+/-0.418e-29 y2[1] (numeric) 0.2272355124440126377751887038375979e0+/-0.507e-27 absolute error 0.1336584865718449e-18+/-0.511e-27 relative error 0.5881936548310260760407216605444626e-16+/-0.224e-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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.55e1+/-0.5e-31 y1[1] (closed_form) 0.170866977429126000002742118132598e1+/-0.617e-28 y1[1] (numeric) 0.1708669774291260000192026516954396e1+/-0.559e-27 absolute error 0.164605335628416e-18+/-0.62e-27 relative error 0.9633537041801581023894619759889699e-17+/-0.362e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.294459674429608093768080824477924e0+/-0.472e-29 y2[1] (numeric) 0.2944596744296080939214605420598025e0+/-0.559e-27 absolute error 0.1533797175818785e-18+/-0.563e-27 relative error 0.5208853058707860848648765076014966e-16+/-0.191e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.56e1+/-0.5e-31 y1[1] (closed_form) 0.1775565878510249797655809662157384e1+/-0.695e-28 y1[1] (numeric) 0.1775565878510249797807029690545763e1+/-0.617e-27 absolute error 0.151220028388379e-18+/-0.686e-27 relative error 0.8516723046922759003716949937682392e-17+/-0.386e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.368733362127678688536330846283285e0+/-0.532e-29 y2[1] (numeric) 0.3687333621276786887085079092545778e0+/-0.617e-27 absolute error 0.1721770629712928e-18+/-0.622e-27 relative error 0.4669419169933266532461247557304932e-16+/-0.168e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.57e1+/-0.5e-31 y1[1] (closed_form) 0.1834712784839159682749234030997712e1+/-0.778e-28 y1[1] (numeric) 0.1834712784839159682884932756173796e1+/-0.681e-27 absolute error 0.135698725176084e-18+/-0.758e-27 relative error 0.7396183549676416795980876788648462e-17+/-0.413e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.449314457402362238772649392127541e0+/-0.601e-29 y2[1] (numeric) 0.4493144574023622389624524391745531e0+/-0.681e-27 absolute error 0.1898030470470121e-18+/-0.687e-27 relative error 0.4224280877680350020101939575411259e-16+/-0.152e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.58e1+/-0.5e-31 y1[1] (closed_form) 0.1885519516941319004164658101761655e1+/-0.878e-28 y1[1] (numeric) 0.1885519516941319004282802928109938e1+/-0.751e-27 absolute error 0.118144826348283e-18+/-0.838e-27 relative error 0.6265903125730408143648847662843171e-17+/-0.444e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.535397820586242788581773473297353e0+/-0.676e-29 y2[1] (numeric) 0.5353978205862427887877898860921202e0+/-0.751e-27 absolute error 0.2060164127947672e-18+/-0.757e-27 relative error 0.3847912801908421795198384428220724e-16+/-0.141e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.59e1+/-0.5e-31 y1[1] (closed_form) 0.1927478430744035740906104680032685e1+/-0.978e-28 y1[1] (numeric) 0.1927478430744035741004793483067412e1+/-0.829e-27 absolute error 0.98688803034727e-19+/-0.926e-27 relative error 0.512009895730099733401010273220586e-17+/-0.48e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.626123335169763640185153531016512e0+/-0.764e-29 y2[1] (numeric) 0.6261233351697636404057387143526409e0+/-0.829e-27 absolute error 0.2205851833361289e-18+/-0.836e-27 relative error 0.3523030862223345271653746637132557e-16+/-0.133e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6e1+/-0.5e-31 y1[1] (closed_form) 0.196017028665036602054565229792333e1+/-0.109e-27 y1[1] (numeric) 0.1960170286650366020623139640280622e1+/-0.915e-27 absolute error 0.77487342357292e-19+/-0.102e-26 relative error 0.3953092386157231564097694045459831e-17+/-0.52e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.720584501801074127188444553388025e0+/-0.862e-29 y2[1] (numeric) 0.7205845018010741274217342323531703e0+/-0.915e-27 absolute error 0.2332896789651453e-18+/-0.923e-27 relative error 0.3237506196456438284406671964357654e-16+/-0.128e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.61e1+/-0.5e-31 y1[1] (closed_form) 0.1983268438442584596585021274648084e1+/-0.122e-27 y1[1] (numeric) 0.1983268438442584596639743433308375e1+/-0.101e-26 absolute error 0.54722158660291e-19+/-0.113e-26 relative error 0.2759190717685350816495015327373367e-17+/-0.569e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.817837495727904459975871636775357e0+/-0.972e-29 y2[1] (numeric) 0.8178374957279044602197970894069341e0+/-0.101e-26 absolute error 0.2439254526315771e-18+/-0.101e-26 relative error 0.2982566266596455952867329876990205e-16+/-0.123e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.62e1+/-0.5e-31 y1[1] (closed_form) 0.1996542097023217475139402623869494e1+/-0.137e-27 y1[1] (numeric) 0.1996542097023217475170001102733625e1+/-0.111e-26 absolute error 0.30598478864131e-19+/-0.124e-26 relative error 0.1532573688766812668153700318676533e-17+/-0.621e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 y2[1] (closed_form) 0.9169105971825034219994207109016594e0+/-0.107e-28 y2[1] (numeric) 0.9169105971825034222517268180436015e0+/-0.111e-26 absolute error 0.2523061071419421e-18+/-0.112e-26 relative error 0.2751698016330404234286195487456303e-16+/-0.122e-24% 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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! Maximum Time Reached before Solution Completed! diff ( y1 , x , 1 ) = m1 * y2 + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations 124 Total Elapsed Time 2 Minutes 9 Seconds Elapsed Time(since restart) 2 Minutes 9 Seconds Expected Time Remaining 11 Minutes 46 Seconds Optimized Time Remaining 11 Minutes 46 Seconds Expected Total Time 31 Minutes 55 Seconds Time to Timeout 0.0 Seconds Percent Done 0.6313131313131313131313131313131313e2+/-0.766e-29%