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/arcsin_c_arccos_c_arctan_cpostode.ode################# diff ( y , x , 1 ) = arcsin ( 0.1 ) + arccos ( 0.1 ) + arctan ( 0.1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=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((arcsin(c(0.1)) + arccos(c(0.1)) + arctan(c(0.1))) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5e1+/-0.50e-30 y[1] (closed_form) -0.835232489643029323304883905758881e1+/-0.185e-29 y[1] (numeric) -0.835232489643029323304883905758881e1+/-0.267e-29 absolute error 0.0e0+/-0.452e-29 relative error 0.0e0+/-0.5411666878442200431697836441814472e-28% 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) -0.818527839850168736838786227643703e1+/-0.183e-29 y[1] (numeric) -0.818527839850168736838786227643703e1+/-0.597e-29 absolute error 0.0e0+/-0.780e-29 relative error 0.0e0+/-0.95293032445027007782289877745493138250e-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 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.5e-30 y[1] (closed_form) -0.801823190057308150372688549528525e1+/-0.181e-29 y[1] (numeric) -0.801823190057308150372688549528525e1+/-0.921e-29 absolute error 0.0e0+/-0.1102e-28 relative error 0.0e0+/-0.1374367832790215909783143381010233e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47e1+/-0.5e-30 y[1] (closed_form) -0.785118540264447563906590871413348e1+/-0.179e-29 y[1] (numeric) -0.785118540264447563906590871413347e1+/-0.118e-28 absolute error 0.1e-31+/-0.135e-28 relative error 0.1273693014131566661574523734186611e-30+/-0.171e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46e1+/-0.5e-30 y[1] (closed_form) -0.76841389047158697744049319329817e1+/-0.177e-29 y[1] (numeric) -0.768413890471586977440493193298169e1+/-0.136e-28 absolute error 0.1e-31+/-0.153e-28 relative error 0.1301381992699644197695709032755886e-30+/-0.199e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45e1+/-0.5e-30 y[1] (closed_form) -0.751709240678726390974395515182992e1+/-0.175e-29 y[1] (numeric) -0.751709240678726390974395515182991e1+/-0.16e-28 absolute error 0.1e-31+/-0.177e-28 relative error 0.133030159253741406875561367792824e-30+/-0.235e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44e1+/-0.5e-30 y[1] (closed_form) -0.735004590885865804508297837067815e1+/-0.173e-29 y[1] (numeric) -0.735004590885865804508297837067813e1+/-0.178e-28 absolute error 0.2e-31+/-0.195e-28 relative error 0.2721071439281074231545573432125943e-30+/-0.265e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.43e1+/-0.5e-30 y[1] (closed_form) -0.718299941093005218042200158952637e1+/-0.171e-29 y[1] (numeric) -0.718299941093005218042200158952635e1+/-0.196e-28 absolute error 0.2e-31+/-0.213e-28 relative error 0.278435217042714572530244723287306e-30+/-0.296e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42e1+/-0.5e-30 y[1] (closed_form) -0.70159529130014463157610248083746e1+/-0.169e-29 y[1] (numeric) -0.701595291300144631576102480837457e1+/-0.22e-28 absolute error 0.3e-31+/-0.236e-28 relative error 0.4275969404584545221000186821912195e-30+/-0.336e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41e1+/-0.5e-30 y[1] (closed_form) -0.684890641507284045110004802722282e1+/-0.167e-29 y[1] (numeric) -0.684890641507284045110004802722279e1+/-0.238e-28 absolute error 0.3e-31+/-0.254e-28 relative error 0.4380261341281729250780679183422251e-30+/-0.37e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e1+/-0.5e-30 y[1] (closed_form) -0.668185991714423458643907124607104e1+/-0.165e-29 y[1] (numeric) -0.668185991714423458643907124607101e1+/-0.256e-28 absolute error 0.3e-31+/-0.272e-28 relative error 0.448976787481377248205019616300781e-30+/-0.407e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39e1+/-0.5e-30 y[1] (closed_form) -0.651481341921562872177809446491927e1+/-0.163e-29 y[1] (numeric) -0.651481341921562872177809446491923e1+/-0.28e-28 absolute error 0.4e-31+/-0.296e-28 relative error 0.613985350401883416348744774428418e-30+/-0.454e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38e1+/-0.5e-30 y[1] (closed_form) -0.634776692128702285711711768376749e1+/-0.161e-29 y[1] (numeric) -0.634776692128702285711711768376745e1+/-0.298e-28 absolute error 0.4e-31+/-0.314e-28 relative error 0.6301428596229856115158170053344293e-30+/-0.494e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37e1+/-0.5e-30 y[1] (closed_form) -0.618072042335841699245614090261571e1+/-0.159e-29 y[1] (numeric) -0.618072042335841699245614090261567e1+/-0.316e-28 absolute error 0.4e-31+/-0.331e-28 relative error 0.6471737477209041415567850325056305e-30+/-0.535e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36e1+/-0.5e-30 y[1] (closed_form) -0.601367392542981112779516412146394e1+/-0.156e-29 y[1] (numeric) -0.601367392542981112779516412146389e1+/-0.34e-28 absolute error 0.5e-31+/-0.355e-28 relative error 0.8314384953358837929722585487051495e-30+/-0.59e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35e1+/-0.5e-30 y[1] (closed_form) -0.584662742750120526313418734031216e1+/-0.154e-29 y[1] (numeric) -0.584662742750120526313418734031211e1+/-0.35e-28 absolute error 0.5e-31+/-0.365e-28 relative error 0.8551938809169090442000373643824401e-30+/-0.624e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34e1+/-0.5e-30 y[1] (closed_form) -0.567958092957259939847321055916039e1+/-0.152e-29 y[1] (numeric) -0.567958092957259939847321055916033e1+/-0.36e-28 absolute error 0.6e-31+/-0.375e-28 relative error 0.1056415970544417054600046156001836e-29+/-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 TOP MAIN SOLVE Loop x[1] -0.33e1+/-0.5e-30 y[1] (closed_form) -0.551253443164399353381223377800861e1+/-0.15e-29 y[1] (numeric) -0.551253443164399353381223377800855e1+/-0.37e-28 absolute error 0.6e-31+/-0.385e-28 relative error 0.1088428575712429692618229372850377e-29+/-0.698e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.32e1+/-0.5e-30 y[1] (closed_form) -0.534548793371538766915125699685683e1+/-0.148e-29 y[1] (numeric) -0.534548793371538766915125699685677e1+/-0.38e-28 absolute error 0.6e-31+/-0.394e-28 relative error 0.1122441968703443120512549040751953e-29+/-0.737e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31e1+/-0.5e-30 y[1] (closed_form) -0.517844143578678180449028021570506e1+/-0.146e-29 y[1] (numeric) -0.517844143578678180449028021570499e1+/-0.39e-28 absolute error 0.7e-31+/-0.404e-28 relative error 0.1351758069836404618251671963056114e-29+/-0.78e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e1+/-0.5e-30 y[1] (closed_form) -0.501139493785817593982930343455328e1+/-0.144e-29 y[1] (numeric) -0.501139493785817593982930343455321e1+/-0.4e-28 absolute error 0.7e-31+/-0.414e-28 relative error 0.1396816672164284772193394361824652e-29+/-0.826e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29e1+/-0.5e-30 y[1] (closed_form) -0.48443484399295700751683266534015e1+/-0.142e-29 y[1] (numeric) -0.484434843992957007516832665340143e1+/-0.41e-28 absolute error 0.7e-31+/-0.424e-28 relative error 0.1444982764307880798820752788094469e-29+/-0.875e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28e1+/-0.5e-30 y[1] (closed_form) -0.467730194200096421050734987224973e1+/-0.14e-29 y[1] (numeric) -0.467730194200096421050734987224965e1+/-0.42e-28 absolute error 0.8e-31+/-0.434e-28 relative error 0.1710387761833818088400074728764879e-29+/-0.927e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27e1+/-0.5e-30 y[1] (closed_form) -0.451025544407235834584637309109795e1+/-0.138e-29 y[1] (numeric) -0.451025544407235834584637309109787e1+/-0.43e-28 absolute error 0.8e-31+/-0.443e-28 relative error 0.1773735456716552091674151570570987e-29+/-0.982e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26e1+/-0.5e-30 y[1] (closed_form) -0.434320894614375248118539630994618e1+/-0.136e-29 y[1] (numeric) -0.434320894614375248118539630994609e1+/-0.44e-28 absolute error 0.9e-31+/-0.453e-28 relative error 0.207220055760635653017701361369591e-29+/-0.104e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25e1+/-0.5e-30 y[1] (closed_form) -0.41761624482151466165244195287944e1+/-0.134e-29 y[1] (numeric) -0.417616244821514661652441952879431e1+/-0.45e-28 absolute error 0.9e-31+/-0.463e-28 relative error 0.2155088579910610791384094158243749e-29+/-0.11e-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+/-0.5e-30 y[1] (closed_form) -0.400911595028654075186344274764262e1+/-0.132e-29 y[1] (numeric) -0.400911595028654075186344274764253e1+/-0.46e-28 absolute error 0.9e-31+/-0.473e-28 relative error 0.2244883937406886241025098081503907e-29+/-0.117e-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+/-0.5e-30 y[1] (closed_form) -0.384206945235793488720246596649085e1+/-0.13e-29 y[1] (numeric) -0.384206945235793488720246596649075e1+/-0.466e-28 absolute error 0.1e-30+/-0.479e-28 relative error 0.2602763985399288395391418065511773e-29+/-0.124e-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+/-0.5e-30 y[1] (closed_form) -0.367502295442932902254148918533907e1+/-0.128e-29 y[1] (numeric) -0.367502295442932902254148918533897e1+/-0.472e-28 absolute error 0.1e-30+/-0.484e-28 relative error 0.2721071439281074231545573432125947e-29+/-0.131e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21e1+/-0.5e-30 y[1] (closed_form) -0.35079764565007231578805124041873e1+/-0.126e-29 y[1] (numeric) -0.350797645650072315788051240418719e1+/-0.48e-28 absolute error 0.11e-30+/-0.492e-28 relative error 0.3135710896695333162066803669402277e-29+/-0.14e-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+/-0.5e-30 y[1] (closed_form) -0.334092995857211729321953562303552e1+/-0.124e-29 y[1] (numeric) -0.334092995857211729321953562303541e1+/-0.486e-28 absolute error 0.11e-30+/-0.498e-28 relative error 0.3292496441530099820170143852872394e-29+/-0.149e-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+/-0.5e-30 y[1] (closed_form) -0.317388346064351142855855884188374e1+/-0.122e-29 y[1] (numeric) -0.317388346064351142855855884188363e1+/-0.492e-28 absolute error 0.11e-30+/-0.504e-28 relative error 0.3465785727926420863336993529339367e-29+/-0.158e-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) -0.300683696271490556389758206073197e1+/-0.12e-29 y[1] (numeric) -0.300683696271490556389758206073185e1+/-0.5e-28 absolute error 0.12e-30+/-0.512e-28 relative error 0.3990904777612242206266841033784718e-29+/-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 TOP MAIN SOLVE Loop x[1] -0.17e1+/-0.5e-30 y[1] (closed_form) -0.283979046478629969923660527958019e1+/-0.118e-29 y[1] (numeric) -0.283979046478629969923660527958007e1+/-0.506e-28 absolute error 0.12e-30+/-0.517e-28 relative error 0.4225663882177668218400184624007354e-29+/-0.182e-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) -0.267274396685769383457562849842841e1+/-0.116e-29 y[1] (numeric) -0.267274396685769383457562849842829e1+/-0.512e-28 absolute error 0.12e-30+/-0.523e-28 relative error 0.448976787481377248205019616300782e-29+/-0.195e-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) -0.250569746892908796991465171727664e1+/-0.114e-29 y[1] (numeric) -0.250569746892908796991465171727651e1+/-0.52e-28 absolute error 0.13e-30+/-0.531e-28 relative error 0.5188176210895914868146893343920136e-29+/-0.211e-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) -0.233865097100048210525367493612486e1+/-0.112e-29 y[1] (numeric) -0.233865097100048210525367493612473e1+/-0.526e-28 absolute error 0.13e-30+/-0.537e-28 relative error 0.555876022595990878730024286848587e-29+/-0.229e-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) -0.217160447307187624059269815497309e1+/-0.11e-29 y[1] (numeric) -0.217160447307187624059269815497295e1+/-0.532e-28 absolute error 0.14e-30+/-0.543e-28 relative error 0.6446846179219775871661820131498389e-29+/-0.25e-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) -0.200455797514327037593172137382131e1+/-0.108e-29 y[1] (numeric) -0.200455797514327037593172137382117e1+/-0.54e-28 absolute error 0.14e-30+/-0.55e-28 relative error 0.6984083360821423860966971809123268e-29+/-0.274e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.5e-30 y[1] (closed_form) -0.183751147721466451127074459266953e1+/-0.105e-29 y[1] (numeric) -0.183751147721466451127074459266939e1+/-0.54e-28 absolute error 0.14e-30+/-0.55e-28 relative error 0.7619000029987007848327605609952673e-29+/-0.299e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.5e-30 y[1] (closed_form) -0.167046497928605864660976781151776e1+/-0.103e-29 y[1] (numeric) -0.167046497928605864660976781151761e1+/-0.54e-28 absolute error 0.15e-30+/-0.55e-28 relative error 0.8979535749627544964100392326015621e-29+/-0.329e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.5e-30 y[1] (closed_form) -0.150341848135745278194879103036598e1+/-0.101e-29 y[1] (numeric) -0.150341848135745278194879103036583e1+/-0.54e-28 absolute error 0.15e-30+/-0.55e-28 relative error 0.9977261944030605515667102584461828e-29+/-0.365e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) -0.13363719834288469172878142492142e1+/-0.998e-30 y[1] (numeric) -0.133637198342884691728781424921405e1+/-0.54e-28 absolute error 0.15e-30+/-0.549e-28 relative error 0.1122441968703443120512549040751959e-28+/-0.41e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7e0+/-0.5e-30 y[1] (closed_form) -0.116932548550024105262683746806243e1+/-0.978e-30 y[1] (numeric) -0.116932548550024105262683746806227e1+/-0.54e-28 absolute error 0.16e-30+/-0.549e-28 relative error 0.1368310209467054470720059783011906e-28+/-0.469e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6e0+/-0.5e-30 y[1] (closed_form) -0.100227898757163518796586068691065e1+/-0.957e-30 y[1] (numeric) -0.100227898757163518796586068691049e1+/-0.54e-28 absolute error 0.16e-30+/-0.549e-28 relative error 0.1596361911044896882506736413513897e-28+/-0.547e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5e0+/-0.5e-30 y[1] (closed_form) -0.835232489643029323304883905758881e0+/-0.937e-30 y[1] (numeric) -0.835232489643029323304883905758712e0+/-0.54e-28 absolute error 0.169e-30+/-0.549e-28 relative error 0.202338872224940679857728840412885e-28+/-0.657e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e0+/-0.5e-30 y[1] (closed_form) -0.668185991714423458643907124607104e0+/-0.916e-30 y[1] (numeric) -0.668185991714423458643907124606934e0+/-0.54e-28 absolute error 0.17e-30+/-0.549e-28 relative error 0.2544201795727804406495111159037759e-28+/-0.821e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e0+/-0.5e-30 y[1] (closed_form) -0.501139493785817593982930343455328e0+/-0.896e-30 y[1] (numeric) -0.501139493785817593982930343455156e0+/-0.54e-28 absolute error 0.172e-30+/-0.548e-28 relative error 0.3432178108746528297389483289054859e-28+/-0.109e-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] -0.2e0+/-0.5e-30 y[1] (closed_form) -0.334092995857211729321953562303552e0+/-0.876e-30 y[1] (numeric) -0.334092995857211729321953562303378e0+/-0.54e-28 absolute error 0.174e-30+/-0.548e-28 relative error 0.520813073478397607917822754908906e-28+/-0.164e-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] -0.1e0+/-0.5e-30 y[1] (closed_form) -0.167046497928605864660976781151776e0+/-0.855e-30 y[1] (numeric) -0.1670464979286058646609767811516e0+/-0.54e-28 absolute error 0.176e-30+/-0.548e-28 relative error 0.1053598861289631942454446032919166e-27+/-0.328e-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] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) 0.0e0+/-0.83523248964302932330488390575888100000000000000000000000000000000000001670464979286058646609767811517762e-30 y[1] (numeric) 0.1762e-30+/-0.54e-28 absolute error 0.1762e-30+/-0.54e-28 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) 0.1670464979286058646609767811517762e0+/-0.204e-31 y[1] (numeric) 0.1670464979286058646609767811519524e0+/-0.54e-28 absolute error 0.1762e-30+/-0.54e-28 relative error 0.10547961327229156151163260852293e-27+/-0.323e-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] 0.2e0+/-0.4e-100 y[1] (closed_form) 0.3340929958572117293219535623035524e0+/-0.408e-31 y[1] (numeric) 0.3340929958572117293219535623037286e0+/-0.54e-28 absolute error 0.1762e-30+/-0.54e-28 relative error 0.5273980663614578075581630426146502e-28+/-0.161e-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+/-0.6e-100 y[1] (closed_form) 0.5011394937858175939829303434553286e0+/-0.612e-31 y[1] (numeric) 0.5011394937858175939829303434555048e0+/-0.54e-28 absolute error 0.1762e-30+/-0.54e-28 relative error 0.3515987109076385383721086950764334e-28+/-0.107e-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+/-0.8e-100 y[1] (closed_form) 0.6681859917144234586439071246071048e0+/-0.816e-31 y[1] (numeric) 0.668185991714423458643907124607281e0+/-0.54e-28 absolute error 0.1762e-30+/-0.54e-28 relative error 0.2636990331807289037790815213073251e-28+/-0.808e-26% 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) 0.835232489643029323304883905758881e0+/-0.102e-30 y[1] (numeric) 0.8352324896430293233048839057590572e0+/-0.54e-28 absolute error 0.1762e-30+/-0.541e-28 relative error 0.21095922654458312302326521704586e-28+/-0.647e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.12e-99 y[1] (closed_form) 0.1002278987571635187965860686910657e1+/-0.122e-30 y[1] (numeric) 0.1002278987571635187965860686910833e1+/-0.54e-28 absolute error 0.176e-30+/-0.541e-28 relative error 0.1755998102149386570757410054865275e-28+/-0.539e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e0+/-0.14e-99 y[1] (closed_form) 0.1169325485500241052626837468062433e1+/-0.142e-30 y[1] (numeric) 0.1169325485500241052626837468062609e1+/-0.54e-28 absolute error 0.176e-30+/-0.541e-28 relative error 0.1505141230413759917792065761313093e-28+/-0.462e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.16e-99 y[1] (closed_form) 0.1336371983428846917287814249214209e1+/-0.163e-30 y[1] (numeric) 0.1336371983428846917287814249214385e1+/-0.54e-28 absolute error 0.176e-30+/-0.541e-28 relative error 0.1316998576612039928068057541148956e-28+/-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] 0.9e0+/-0.18e-99 y[1] (closed_form) 0.1503418481357452781948791030365985e1+/-0.183e-30 y[1] (numeric) 0.1503418481357452781948791030366161e1+/-0.54e-28 absolute error 0.176e-30+/-0.541e-28 relative error 0.117066540143292438050494003657685e-28+/-0.359e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.20e-99 y[1] (closed_form) 0.1670464979286058646609767811517762e1+/-0.204e-30 y[1] (numeric) 0.1670464979286058646609767811517937e1+/-0.54e-28 absolute error 0.175e-30+/-0.542e-28 relative error 0.1047612504123213579145045771368487e-28+/-0.324e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.22e-99 y[1] (closed_form) 0.1837511477214664511270744592669538e1+/-0.224e-30 y[1] (numeric) 0.1837511477214664511270744592669713e1+/-0.54e-28 absolute error 0.175e-30+/-0.542e-28 relative error 0.95237500374837598104095070124408e-29+/-0.294e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.24e-99 y[1] (closed_form) 0.2004557975143270375931721373821314e1+/-0.244e-30 y[1] (numeric) 0.2004557975143270375931721373821489e1+/-0.541e-28 absolute error 0.175e-30+/-0.543e-28 relative error 0.8730104201026779826208714761404067e-29+/-0.27e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.26e-99 y[1] (closed_form) 0.217160447307187624059269815497309e1+/-0.265e-30 y[1] (numeric) 0.2171604473071876240592698154973265e1+/-0.543e-28 absolute error 0.175e-30+/-0.545e-28 relative error 0.8058557724024719839577275164372986e-29+/-0.25e-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) 0.2338650971000482105253674936124866e1+/-0.285e-30 y[1] (numeric) 0.2338650971000482105253674936125041e1+/-0.546e-28 absolute error 0.175e-30+/-0.548e-28 relative error 0.7482946458022954136750326938346344e-29+/-0.234e-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) 0.2505697468929087969914651717276643e1+/-0.306e-30 y[1] (numeric) 0.2505697468929087969914651717276817e1+/-0.55e-28 absolute error 0.174e-30+/-0.553e-28 relative error 0.6944174313045301438904303398785405e-29+/-0.22e-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) 0.2672743966857693834575628498428419e1+/-0.326e-30 y[1] (numeric) 0.2672743966857693834575628498428593e1+/-0.552e-28 absolute error 0.174e-30+/-0.555e-28 relative error 0.6510163418479970098972784436361318e-29+/-0.207e-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) 0.2839790464786299699236605279580195e1+/-0.346e-30 y[1] (numeric) 0.2839790464786299699236605279580369e1+/-0.557e-28 absolute error 0.174e-30+/-0.56e-28 relative error 0.6127212629157618916680267704810653e-29+/-0.197e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e1+/-0.36e-99 y[1] (closed_form) 0.3006836962714905563897582060731971e1+/-0.367e-30 y[1] (numeric) 0.3006836962714905563897582060732145e1+/-0.559e-28 absolute error 0.174e-30+/-0.562e-28 relative error 0.5786811927537751199086919498987839e-29+/-0.186e-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) 0.3173883460643511428558558841883747e1+/-0.387e-30 y[1] (numeric) 0.3173883460643511428558558841883921e1+/-0.562e-28 absolute error 0.174e-30+/-0.565e-28 relative error 0.5482242878719974820187607946409532e-29+/-0.178e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.40e-99 y[1] (closed_form) 0.3340929958572117293219535623035524e1+/-0.408e-30 y[1] (numeric) 0.3340929958572117293219535623035697e1+/-0.566e-28 absolute error 0.173e-30+/-0.57e-28 relative error 0.5178198948951884262631226241335668e-29+/-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 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.42e-99 y[1] (closed_form) 0.35079764565007231578805124041873e1+/-0.428e-30 y[1] (numeric) 0.3507976456500723157880512404187473e1+/-0.568e-28 absolute error 0.173e-30+/-0.572e-28 relative error 0.4931618046620842154886882134605399e-29+/-0.163e-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) 0.3675022954429329022541489185339076e1+/-0.448e-30 y[1] (numeric) 0.3675022954429329022541489185339249e1+/-0.571e-28 absolute error 0.173e-30+/-0.575e-28 relative error 0.4707453589956258420573842037577881e-29+/-0.156e-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) 0.3842069452357934887202465966490852e1+/-0.469e-30 y[1] (numeric) 0.3842069452357934887202465966491025e1+/-0.573e-28 absolute error 0.173e-30+/-0.577e-28 relative error 0.4502781694740768924027153253335365e-29+/-0.15e-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) 0.4009115950286540751863442747642628e1+/-0.489e-30 y[1] (numeric) 0.4009115950286540751863442747642801e1+/-0.578e-28 absolute error 0.173e-30+/-0.582e-28 relative error 0.4315165790793236885526021867779724e-29+/-0.145e-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) 0.4176162448215146616524419528794405e1+/-0.51e-30 y[1] (numeric) 0.4176162448215146616524419528794577e1+/-0.586e-28 absolute error 0.172e-30+/-0.591e-28 relative error 0.4118613730495833956867379946865826e-29+/-0.141e-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) 0.4343208946143752481185396309946181e1+/-0.53e-30 y[1] (numeric) 0.4343208946143752481185396309946353e1+/-0.59e-28 absolute error 0.172e-30+/-0.595e-28 relative error 0.3960205510092148035449403795063295e-29+/-0.136e-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) 0.4510255444072358345846373091097957e1+/-0.55e-30 y[1] (numeric) 0.4510255444072358345846373091098129e1+/-0.6e-28 absolute error 0.172e-30+/-0.605e-28 relative error 0.3813531231940586997099425876727617e-29+/-0.134e-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) 0.4677301942000964210507349872249733e1+/-0.571e-30 y[1] (numeric) 0.4677301942000964210507349872249905e1+/-0.604e-28 absolute error 0.172e-30+/-0.609e-28 relative error 0.3677333687942708890060160666844488e-29+/-0.13e-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) 0.4844348439929570075168326653401509e1+/-0.591e-30 y[1] (numeric) 0.4844348439929570075168326653401681e1+/-0.61e-28 absolute error 0.172e-30+/-0.615e-28 relative error 0.3550529078013649962816706850746403e-29+/-0.126e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e1+/-0.60e-99 y[1] (closed_form) 0.5011394937858175939829303434553286e1+/-0.612e-30 y[1] (numeric) 0.5011394937858175939829303434553457e1+/-0.614e-28 absolute error 0.171e-30+/-0.62e-28 relative error 0.3412223584858467086358149083885932e-29+/-0.123e-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) 0.5178441435786781804490280215705062e1+/-0.632e-30 y[1] (numeric) 0.5178441435786781804490280215705233e1+/-0.618e-28 absolute error 0.171e-30+/-0.624e-28 relative error 0.3302151856314645567443370081179934e-29+/-0.12e-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) 0.5345487933715387669151256996856838e1+/-0.652e-30 y[1] (numeric) 0.5345487933715387669151256996857009e1+/-0.622e-28 absolute error 0.171e-30+/-0.628e-28 relative error 0.3198959610804812893460764766143061e-29+/-0.117e-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) 0.5512534431643993533812233778008614e1+/-0.673e-30 y[1] (numeric) 0.5512534431643993533812233778008785e1+/-0.626e-28 absolute error 0.171e-30+/-0.632e-28 relative error 0.3102021440780424623961953712623575e-29+/-0.114e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.68e-99 y[1] (closed_form) 0.567958092957259939847321055916039e1+/-0.693e-30 y[1] (numeric) 0.5679580929572599398473210559160561e1+/-0.63e-28 absolute error 0.171e-30+/-0.636e-28 relative error 0.3010785516051588605610131544605234e-29+/-0.111e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.70e-99 y[1] (closed_form) 0.5846627427501205263134187340312167e1+/-0.714e-30 y[1] (numeric) 0.5846627427501205263134187340312337e1+/-0.634e-28 absolute error 0.17e-30+/-0.641e-28 relative error 0.2907659195117490750280127038900293e-29+/-0.109e-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) 0.6013673925429811127795164121463943e1+/-0.734e-30 y[1] (numeric) 0.6013673925429811127795164121464113e1+/-0.639e-28 absolute error 0.17e-30+/-0.646e-28 relative error 0.2826890884142004896105679065597507e-29+/-0.107e-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) 0.6180720423358416992456140902615719e1+/-0.754e-30 y[1] (numeric) 0.6180720423358416992456140902615889e1+/-0.654e-28 absolute error 0.17e-30+/-0.661e-28 relative error 0.2750488427813842601616336388148926e-29+/-0.106e-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) 0.6347766921287022857117117683767495e1+/-0.775e-30 y[1] (numeric) 0.6347766921287022857117117683767665e1+/-0.66e-28 absolute error 0.17e-30+/-0.667e-28 relative error 0.2678107153397688848942222272671322e-29+/-0.105e-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) 0.6514813419215628721778094464919271e1+/-0.795e-30 y[1] (numeric) 0.6514813419215628721778094464919441e1+/-0.669e-28 absolute error 0.17e-30+/-0.676e-28 relative error 0.2609437739208004519482165291320776e-29+/-0.103e-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) 0.6681859917144234586439071246071048e1+/-0.816e-30 y[1] (numeric) 0.6681859917144234586439071246071217e1+/-0.681e-28 absolute error 0.169e-30+/-0.689e-28 relative error 0.2529235902811758498221610505161063e-29+/-0.103e-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) 0.6848906415072840451100048027222824e1+/-0.836e-30 y[1] (numeric) 0.6848906415072840451100048027222993e1+/-0.687e-28 absolute error 0.169e-30+/-0.695e-28 relative error 0.2467547222255374144606449273327867e-29+/-0.101e-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) 0.70159529130014463157610248083746e1+/-0.856e-30 y[1] (numeric) 0.7015952913001446315761024808374769e1+/-0.693e-28 absolute error 0.169e-30+/-0.701e-28 relative error 0.2408796097915960474496771909677203e-29+/-0.999e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43e1+/-0.86e-99 y[1] (closed_form) 0.7182999410930052180422001589526376e1+/-0.877e-30 y[1] (numeric) 0.7182999410930052180422001589526545e1+/-0.699e-28 absolute error 0.169e-30+/-0.707e-28 relative error 0.2352777584010938137880567911777733e-29+/-0.984e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44e1+/-0.88e-99 y[1] (closed_form) 0.7350045908858658045082978370678152e1+/-0.897e-30 y[1] (numeric) 0.7350045908858658045082978370678321e1+/-0.708e-28 absolute error 0.169e-30+/-0.716e-28 relative error 0.2299305366192507725656009550146421e-29+/-0.974e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45e1+/-0.90e-99 y[1] (closed_form) 0.7517092406787263909743955151829929e1+/-0.918e-30 y[1] (numeric) 0.7517092406787263909743955151830097e1+/-0.72e-28 absolute error 0.168e-30+/-0.729e-28 relative error 0.223490667546285563550943097891944e-29+/-0.969e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46e1+/-0.92e-99 y[1] (closed_form) 0.7684138904715869774404931932981705e1+/-0.938e-30 y[1] (numeric) 0.7684138904715869774404931932981873e1+/-0.726e-28 absolute error 0.168e-30+/-0.735e-28 relative error 0.2186321747735402252128791175029887e-29+/-0.956e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47e1+/-0.94e-99 y[1] (closed_form) 0.7851185402644475639065908714133481e1+/-0.958e-30 y[1] (numeric) 0.7851185402644475639065908714133649e1+/-0.741e-28 absolute error 0.168e-30+/-0.75e-28 relative error 0.2139804263741031991445199873433507e-29+/-0.955e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48e1+/-0.96e-99 y[1] (closed_form) 0.8018231900573081503726885495285257e1+/-0.979e-30 y[1] (numeric) 0.8018231900573081503726885495285425e1+/-0.748e-28 absolute error 0.168e-30+/-0.757e-28 relative error 0.2095225008246427158290091542736976e-29+/-0.944e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49e1+/-0.98e-99 y[1] (closed_form) 0.8185278398501687368387862276437033e1+/-0.999e-30 y[1] (numeric) 0.8185278398501687368387862276437201e1+/-0.76e-28 absolute error 0.168e-30+/-0.769e-28 relative error 0.2052465314200581706080089674517854e-29+/-0.939e-27% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arcsin ( 0.1 ) + arccos ( 0.1 ) + arctan ( 0.1 ) ; Iterations 200 Total Elapsed Time 4 Minutes 30 Seconds Elapsed Time(since restart) 4 Minutes 29 Seconds Time to Timeout 15 Minutes 30 Seconds Percent Done 0.1005e3+/-0.155e-28%