Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/lin_arctan_m2_m3postode.ode################# diff ( y , x , 1 ) = arctan ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-2.0) x_end=c(-3.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $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=0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(x)*arctan(c(x))-c(0.5)*ln(c(x)*c(x)+c(1.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.2001e1+/-0.55e-32 y[1] (closed_form) 0.141068572806226557398387225214992346e1+/-0.237e-30 y[1] (numeric) 0.141068572811558144635729720911285394e1+/-0.218e-30 absolute error 0.5331587237342495696293048e-10+/-0.455e-30 relative error 0.377942948686808246348235194516215444e-8+/-0.322e-28% Desired digits 8 Estimated correct digits 14 Correct digits 9 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2002e1+/-0.60e-32 y[1] (closed_form) 0.141179317659350293832776613421162848e1+/-0.258e-30 y[1] (numeric) 0.141179317670007608025275989466353168e1+/-0.218e-30 absolute error 0.1065731419249937604519032e-9+/-0.476e-30 relative error 0.754877865199367824005274722359104913e-8+/-0.337e-28% Desired digits 8 Estimated correct digits 14 Correct digits 9 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2003e1+/-0.65e-32 y[1] (closed_form) 0.141290082480510662400147177372634599e1+/-0.279e-30 y[1] (numeric) 0.141290082496487850930950620855140233e1+/-0.218e-30 absolute error 0.15977188530803443482505634e-9+/-0.497e-30 relative error 0.113080750257239834227668633753629943e-7+/-0.351e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2004e1+/-0.70e-32 y[1] (closed_form) 0.141400867253751588312270457610876836e1+/-0.3e-30 y[1] (numeric) 0.141400867275042806219385810985896821e1+/-0.218e-30 absolute error 0.21291217907115353375019985e-9+/-0.518e-30 relative error 0.150573460549623777079655072649555929e-7+/-0.366e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2005e1+/-0.75e-32 y[1] (closed_form) 0.141511671963134527807692925312126084e1+/-0.320e-30 y[1] (numeric) 0.14151167198973393777352781173838958e1+/-0.218e-30 absolute error 0.26599409965834886426263496e-9+/-0.538e-30 relative error 0.187966191034505965097634879391487586e-7+/-0.38e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2006e1+/-0.80e-32 y[1] (closed_form) 0.141622496592738445221729759074819557e1+/-0.34e-30 y[1] (numeric) 0.14162249662464021756264198870152752e1+/-0.218e-30 absolute error 0.31901772340912229626707963e-9+/-0.558e-30 relative error 0.225259214520498445670380095005589397e-7+/-0.394e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2007e1+/-0.85e-32 y[1] (closed_form) 0.141733341126659790087811238240675323e1+/-0.362e-30 y[1] (numeric) 0.141733341163858102743670503847132994e1+/-0.218e-30 absolute error 0.37198312655859265606457671e-9+/-0.580e-30 relative error 0.262452802990208554187403074482761806e-7+/-0.409e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2008e1+/-0.90e-32 y[1] (closed_form) 0.14184420554901247427014784495584975e1+/-0.382e-30 y[1] (numeric) 0.141844205591501512793908715205186802e1+/-0.218e-30 absolute error 0.42489038523760870249337052e-9+/-0.600e-30 relative error 0.299547227603029011035276109857939165e-7+/-0.422e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2009e1+/-0.95e-32 y[1] (closed_form) 0.141955089843927849127680142588300948e1+/-0.403e-30 y[1] (numeric) 0.141955089891701806674966361016380728e1+/-0.218e-30 absolute error 0.4777395754728621842807978e-9+/-0.621e-30 relative error 0.336542758697917564199831834474819286e-7+/-0.437e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.201e1+/-0.100e-31 y[1] (closed_form) 0.142065993995554682709279473947267766e1+/-0.423e-30 y[1] (numeric) 0.142065994048607760027979571668396344e1+/-0.218e-30 absolute error 0.53053077318700097721128578e-9+/-0.641e-30 relative error 0.373439665796166220640621219492241504e-7+/-0.451e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2011e1+/-0.105e-31 y[1] (closed_form) 0.142176917988059136980165498998236279e1+/-0.444e-30 y[1] (numeric) 0.14217691804638554240003972897058921e1+/-0.218e-30 absolute error 0.58326405419874229972352931e-9+/-0.662e-30 relative error 0.410238217604160109408654261548595592e-7+/-0.465e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2012e1+/-0.110e-31 y[1] (closed_form) 0.142287861805624745079506568429508729e1+/-0.464e-30 y[1] (numeric) 0.142287861869218694501805168985297307e1+/-0.218e-30 absolute error 0.63593949422298600555788578e-9+/-0.682e-30 relative error 0.446938682016126019284079384121804304e-7+/-0.479e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2013e1+/-0.115e-31 y[1] (closed_form) 0.142398825432452388609168906502133273e1+/-0.485e-30 y[1] (numeric) 0.142398825501308105496261701710427564e1+/-0.218e-30 absolute error 0.68855716887092795208294291e-9+/-0.703e-30 relative error 0.483541326116870653517038984838746945e-7+/-0.493e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2014e1+/-0.120e-31 y[1] (closed_form) 0.142509808852760274953580554101122311e1+/-0.505e-30 y[1] (numeric) 0.14250980892687199031859789839493181e1+/-0.218e-30 absolute error 0.74111715365017344293809499e-9+/-0.723e-30 relative error 0.520046416184508644062475499443436942e-7+/-0.507e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2015e1+/-0.125e-31 y[1] (closed_form) 0.142620812050783914630676000800220312e1+/-0.521e-30 y[1] (numeric) 0.142620812130145867027161075163901532e1+/-0.218e-30 absolute error 0.7936195239648507436368122e-9+/-0.739e-30 relative error 0.556454217693180367508152661385965126e-7+/-0.518e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2016e1+/-0.130e-31 y[1] (closed_form) 0.14273183501077609867388741305262946e1+/-0.542e-30 y[1] (numeric) 0.142731835095382534185459879930938829e1+/-0.218e-30 absolute error 0.84606435511572466878309369e-9+/-0.760e-30 relative error 0.592764995315759604704586985193393259e-7+/-0.532e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2017e1+/-0.135e-31 y[1] (closed_form) 0.142842877717006876045148344323722372e1+/-0.563e-30 y[1] (numeric) 0.14284287780685204827517936827985916e1+/-0.218e-30 absolute error 0.89845172230031023956136788e-9+/-0.781e-30 relative error 0.628979012926551085915956561033067364e-7+/-0.546e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2018e1+/-0.140e-31 y[1] (closed_form) 0.142953940153763531078875792086537461e1+/-0.583e-30 y[1] (numeric) 0.142953940248841701140174433103321324e1+/-0.218e-30 absolute error 0.95078170061298641016783863e-9+/-0.801e-30 relative error 0.665096533603977963122359830320829393e-7+/-0.56e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2019e1+/-0.145e-31 y[1] (closed_form) 0.143065022305350560956896446104446179e1+/-0.604e-30 y[1] (numeric) 0.143065022405655997461407432290343715e1+/-0.218e-30 absolute error 0.100305436504510986185897536e-8+/-0.822e-30 relative error 0.701117819633259250916032286354697869e-7+/-0.574e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.202e1+/-0.150e-31 y[1] (closed_form) 0.143176124156089653214282952325495755e1+/-0.625e-30 y[1] (numeric) 0.143176124261616632262795838655546565e1+/-0.218e-30 absolute error 0.10552697904851288633005081e-8+/-0.843e-30 relative error 0.737043132509077277247288381818530753e-7+/-0.588e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2021e1+/-0.155e-31 y[1] (closed_form) 0.143287245690319663276065997007270142e1+/-0.646e-30 y[1] (numeric) 0.143287245801062468447935716598061538e1+/-0.218e-30 absolute error 0.110742805171869719590791396e-8+/-0.864e-30 relative error 0.772872732938235185090033670726084526e-7+/-0.602e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2022e1+/-0.160e-31 y[1] (closed_form) 0.143398386892396592024787996377390104e1+/-0.666e-30 y[1] (numeric) 0.143398387008349514367666810665087554e1+/-0.218e-30 absolute error 0.11595292234287881428769745e-8+/-0.884e-30 relative error 0.808606880842304525911686741140749681e-7+/-0.616e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2023e1+/-0.165e-31 y[1] (closed_form) 0.143509547746693563398864158210716904e1+/-0.682e-30 y[1] (numeric) 0.143509547867850901418445012271770684e1+/-0.218e-30 absolute error 0.12115733801958085406105378e-8+/-0.900e-30 relative error 0.844245835360262985648252503963472771e-7+/-0.627e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2024e1+/-0.170e-31 y[1] (closed_form) 0.143620728237600802021716663167669005e1+/-0.703e-30 y[1] (numeric) 0.143620728363956861671487952293182643e1+/-0.218e-30 absolute error 0.126356059649771289125513638e-8+/-0.921e-30 relative error 0.879789854851122283702094121512715631e-7+/-0.641e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2025e1+/-0.175e-31 y[1] (closed_form) 0.14373192834952561086164769558655388e1+/-0.724e-30 y[1] (numeric) 0.143731928481074705532659449093413854e1+/-0.218e-30 absolute error 0.131549094671011753506859974e-8+/-0.942e-30 relative error 0.915239196896546285297660390541090203e-7+/-0.655e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2026e1+/-0.180e-31 y[1] (closed_form) 0.143843148066892348922417035654216044e1+/-0.744e-30 y[1] (numeric) 0.143843148203628799433058523788940809e1+/-0.218e-30 absolute error 0.136736450510641488134724765e-8+/-0.962e-30 relative error 0.950594118303459367349026473472472531e-7+/-0.668e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2027e1+/-0.185e-31 y[1] (closed_form) 0.143954387374142408964489907491375417e1+/-0.765e-30 y[1] (numeric) 0.143954387516060543550278677156241768e1+/-0.218e-30 absolute error 0.141918134585788769664866351e-8+/-0.983e-30 relative error 0.985854875106645077812597871673877386e-7+/-0.682e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2028e1+/-0.190e-31 y[1] (closed_form) 0.144065646255734195256920760679556134e1+/-0.786e-30 y[1] (numeric) 0.144065646402828349560303105584898386e1+/-0.218e-30 absolute error 0.147094154303382344905342252e-8+/-0.1e-29 relative error 0.102102172257133512831870309491283307e-6+/-0.694e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2029e1+/-0.195e-31 y[1] (closed_form) 0.144176924696143101359838646123272566e1+/-0.807e-30 y[1] (numeric) 0.144176924848407618420001516844922905e1+/-0.218e-30 absolute error 0.152264517060162870721650339e-8+/-0.102e-29 relative error 0.105609491519578875969706612149538983e-6+/-0.707e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.203e1+/-0.200e-31 y[1] (closed_form) 0.144288222679861487937499830881950027e1+/-0.827e-30 y[1] (numeric) 0.144288222837290718180194190178590778e1+/-0.218e-30 absolute error 0.157429230242694359296640751e-8+/-0.104e-29 relative error 0.109107470671386251983327469187861735e-6+/-0.72e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2031e1+/-0.205e-31 y[1] (closed_form) 0.144399540191398660601873280718717531e1+/-0.848e-30 y[1] (numeric) 0.144399540353986961829248909340447034e1+/-0.218e-30 absolute error 0.162588301227375628621729503e-8+/-0.106e-29 relative error 0.112596135009757049311637412152618723e-6+/-0.734e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2032e1+/-0.210e-31 y[1] (closed_form) 0.144510877215280847786724623595543701e1+/-0.869e-30 y[1] (numeric) 0.144510877383022585167176381692211863e1+/-0.218e-30 absolute error 0.167741737380451758096668162e-8+/-0.108e-29 relative error 0.116075509755963502056158502552321436e-6+/-0.747e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2033e1+/-0.215e-31 y[1] (closed_form) 0.144622233736051178652164192194022785e1+/-0.89e-30 y[1] (numeric) 0.144622233908940724710189741309867503e1+/-0.218e-30 absolute error 0.172889546058025549115844718e-8+/-0.11e-29 relative error 0.119545620055602794951687935435361975e-6+/-0.76e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2034e1+/-0.220e-31 y[1] (closed_form) 0.144733609738269661019624728756297802e1+/-0.905e-30 y[1] (numeric) 0.144733609916301395625693719276105639e1+/-0.218e-30 absolute error 0.178031734606068990519807837e-8+/-0.112e-29 relative error 0.12300649097885024516877407519602684e-6+/-0.773e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2035e1+/-0.225e-31 y[1] (closed_form) 0.144845005206513159337234321118982771e1+/-0.926e-30 y[1] (numeric) 0.144845005389681469697669049910403399e1+/-0.218e-30 absolute error 0.183168310360434728791420628e-8+/-0.114e-29 relative error 0.1264581475207115448040881784333977e-6+/-0.787e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2036e1+/-0.230e-31 y[1] (closed_form) 0.144956420125375372675550124752377692e1+/-0.947e-30 y[1] (numeric) 0.144956420313674653322417667629138149e1+/-0.218e-30 absolute error 0.188299280646867542876760457e-8+/-0.116e-29 relative error 0.129900614601274067897498443767420877e-6+/-0.8e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2037e1+/-0.235e-31 y[1] (closed_form) 0.145067854479466812753618411915630659e1+/-0.968e-30 y[1] (numeric) 0.14506785467289146553463423542721827e1+/-0.218e-30 absolute error 0.193424652781015823511587611e-8+/-0.118e-29 relative error 0.133333917065957245797466280127445332e-6+/-0.813e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2038e1+/-0.240e-31 y[1] (closed_form) 0.145179308253414781995326475693669906e1+/-0.988e-30 y[1] (numeric) 0.145179308451959216063769532628580583e1+/-0.218e-30 absolute error 0.198544434068443056934910677e-8+/-0.12e-29 relative error 0.136758079685762014679283362169401189e-6+/-0.826e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2039e1+/-0.245e-31 y[1] (closed_form) 0.145290781431863351616011903691601652e1+/-0.1e-29 y[1] (numeric) 0.145290781635521983420651216563476961e1+/-0.218e-30 absolute error 0.203658631804639312871875309e-8+/-0.121e-29 relative error 0.140173127157519339003648203968777966e-6+/-0.832e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.204e1+/-0.250e-31 y[1] (closed_form) 0.145402273999473339739294723524743366e1+/-0.102e-29 y[1] (numeric) 0.145402274208240593014327460193644585e1+/-0.218e-30 absolute error 0.208767253275032736668901219e-8+/-0.123e-29 relative error 0.143579084104137814686146049812920942e-6+/-0.845e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2041e1+/-0.255e-31 y[1] (closed_form) 0.145513785940922289544097909955453267e1+/-0.104e-29 y[1] (numeric) 0.145513786154792595299098955420138151e1+/-0.218e-30 absolute error 0.213870305755001045464684884e-8+/-0.125e-29 relative error 0.14697597507485035573134204777169736e-6+/-0.859e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2042e1+/-0.260e-31 y[1] (closed_form) 0.14562531724090444744182173158934291e1+/-0.106e-29 y[1] (numeric) 0.145625317459872243951704759870719729e1+/-0.218e-30 absolute error 0.218967796509883028281376819e-8+/-0.127e-29 relative error 0.15036382454545996806842739166546553e-6+/-0.872e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2043e1+/-0.265e-31 y[1] (closed_form) 0.145736867884130741283637403451255949e1+/-0.108e-29 y[1] (numeric) 0.145736868108190474078627453372184534e1+/-0.218e-30 absolute error 0.224059732794990049920928585e-8+/-0.129e-29 relative error 0.153742656918584614308668367160611616e-6+/-0.885e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2044e1+/-0.270e-31 y[1] (closed_form) 0.14584843785532875859786550051350136e1+/-0.11e-29 y[1] (numeric) 0.145848438084474880453483059065790055e1+/-0.218e-30 absolute error 0.229146121855617558552288695e-8+/-0.131e-29 relative error 0.157112496523901173128300445223419761e-6+/-0.898e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2045e1+/-0.275e-31 y[1] (closed_form) 0.145960027139242724857404576343195524e1+/-0.112e-29 y[1] (numeric) 0.145960027373469695784461173219002981e1+/-0.218e-30 absolute error 0.234226970927056596875807457e-8+/-0.133e-29 relative error 0.160473367618388496963982742448102263e-6+/-0.911e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2046e1+/-0.280e-31 y[1] (closed_form) 0.146071635720633481777175420470156539e1+/-0.113e-29 y[1] (numeric) 0.146071635959935769011780737222044253e1+/-0.218e-30 absolute error 0.239302287234605316751887714e-8+/-0.134e-29 relative error 0.163825294386569571691481301313286382e-6+/-0.917e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2047e1+/-0.285e-31 y[1] (closed_form) 0.146183263584278465641546377849575443e1+/-0.115e-29 y[1] (numeric) 0.146183263828650543635126875031168024e1+/-0.218e-30 absolute error 0.244372077993580497181592581e-8+/-0.136e-29 relative error 0.167168300940752781941883105747263949e-6+/-0.93e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2048e1+/-0.290e-31 y[1] (closed_form) 0.146294910714971685661705143902643466e1+/-0.117e-29 y[1] (numeric) 0.146294910964408036071034209430235789e1+/-0.218e-30 absolute error 0.249436350409329065527592323e-8+/-0.138e-29 relative error 0.170502411321272285693355888013668849e-6+/-0.943e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2049e1+/-0.295e-31 y[1] (closed_form) 0.146406577097523702362942439061432458e1+/-0.119e-29 y[1] (numeric) 0.146406577352018814040182060925932495e1+/-0.218e-30 absolute error 0.254495111677239621864500037e-8+/-0.14e-29 relative error 0.173827649496727501760260877887130582e-6+/-0.956e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.205e1+/-0.300e-31 y[1] (closed_form) 0.146518262716761606001812957519606572e1+/-0.122e-29 y[1] (numeric) 0.146518262976309974984566923867916711e1+/-0.218e-30 absolute error 0.259548368982753966348310139e-8+/-0.143e-29 relative error 0.177144039364221713785296502963976538e-6+/-0.975e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2051e1+/-0.305e-31 y[1] (closed_form) 0.146629967557528995013138975995995923e1+/-0.124e-29 y[1] (numeric) 0.146629967822125124514517605491311181e1+/-0.218e-30 absolute error 0.264596129501378629495315258e-8+/-0.145e-29 relative error 0.180451604749599794324300547069768325e-6+/-0.988e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2052e1+/-0.310e-31 y[1] (closed_form) 0.146741691604685954486821999751706892e1+/-0.125e-29 y[1] (numeric) 0.146741691874324354885518405013241984e1+/-0.218e-30 absolute error 0.269638400398696405261535092e-8+/-0.146e-29 relative error 0.183750369407685052597365365978083511e-6+/-0.994e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2053e1+/-0.315e-31 y[1] (closed_form) 0.146853434843109034674427814861306898e1+/-0.128e-29 y[1] (numeric) 0.146853435117784223504805701675652375e1+/-0.218e-30 absolute error 0.274675188830377886814345477e-8+/-0.149e-29 relative error 0.187040357022515209464025294232509028e-6+/-0.101e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2054e1+/-0.320e-31 y[1] (closed_form) 0.146965197257691229525510307822740334e1+/-0.13e-29 y[1] (numeric) 0.146965197537397731467703312711388753e1+/-0.218e-30 absolute error 0.279706501942193004888648419e-8+/-0.151e-29 relative error 0.190321591207577503164457657386678515e-6+/-0.102e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2055e1+/-0.325e-31 y[1] (closed_form) 0.147076978833341955253639405997056244e1+/-0.132e-29 y[1] (numeric) 0.147076979118074302123661974617628232e1+/-0.218e-30 absolute error 0.284732346870022568620571988e-8+/-0.153e-29 relative error 0.193594095506042929352896945913859271e-6+/-0.104e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2056e1+/-0.330e-31 y[1] (closed_form) 0.147188779554987028932098485095811611e1+/-0.134e-29 y[1] (numeric) 0.147188779844739759671968293848146321e1+/-0.218e-30 absolute error 0.28975273073986980875233471e-8+/-0.155e-29 relative error 0.196857893390999618933796619984843788e-6+/-0.105e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2057e1+/-0.335e-31 y[1] (closed_form) 0.147300599407568647119216582979223322e1+/-0.135e-29 y[1] (numeric) 0.147300599702336307787088506081775035e1+/-0.218e-30 absolute error 0.294767660667871923102551713e-8+/-0.156e-29 relative error 0.200113008265685357195683804958018917e-6+/-0.105e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2058e1+/-0.340e-31 y[1] (closed_form) 0.147412438376045364513300752389851691e1+/-0.137e-29 y[1] (numeric) 0.147412438675822508273612376586751316e1+/-0.218e-30 absolute error 0.299777143760311624196899625e-8+/-0.158e-29 relative error 0.203359463463719247722138559264575688e-6+/-0.107e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2059e1+/-0.345e-31 y[1] (closed_form) 0.147524296445392072637133878922894781e1+/-0.14e-29 y[1] (numeric) 0.147524296750173259750762567877587231e1+/-0.218e-30 absolute error 0.30478118711362868895469245e-8+/-0.161e-29 relative error 0.206597282249332524543889932963724564e-6+/-0.109e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.206e1+/-0.350e-31 y[1] (closed_form) 0.147636173600599978552003284523144876e1+/-0.142e-29 y[1] (numeric) 0.14763617391037977636643479485070046e1+/-0.218e-30 absolute error 0.309779797814431510327555584e-8+/-0.163e-29 relative error 0.209826487817598515980658149638666406e-6+/-0.11e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2061e1+/-0.355e-31 y[1] (closed_form) 0.147748069826676583601225431098414621e1+/-0.144e-29 y[1] (numeric) 0.14774807014144956654073408188542868e1+/-0.218e-30 absolute error 0.314772982939508650787014059e-8+/-0.165e-29 relative error 0.213047103294661763606081650371817546e-6+/-0.111e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2062e1+/-0.360e-31 y[1] (closed_form) 0.147859985108645662183132033447887344e1+/-0.145e-29 y[1] (numeric) 0.147859985428406411738972431006326343e1+/-0.218e-30 absolute error 0.319760749555840397558438999e-8+/-0.166e-29 relative error 0.216259151737966299753852420044972126e-6+/-0.112e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2063e1+/-0.365e-31 y[1] (closed_form) 0.147971919431547240553482885619507671e1+/-0.147e-29 y[1] (numeric) 0.14797191975629034527409320511892781e1+/-0.218e-30 absolute error 0.324743104720610319499420139e-8+/-0.168e-29 relative error 0.219462656136483086968040538881703125e-6+/-0.113e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2064e1+/-0.370e-31 y[1] (closed_form) 0.148083872780437575657270700031332652e1+/-0.149e-29 y[1] (numeric) 0.148083873110157631138487525552586737e1+/-0.218e-30 absolute error 0.329720055481216825521254085e-8+/-0.17e-29 relative error 0.22265763941093662278552021932292869e-6+/-0.114e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2065e1+/-0.375e-31 y[1] (closed_form) 0.148195845140389133989883254215851489e1+/-0.151e-29 y[1] (numeric) 0.148195845475080742865167978668706786e1+/-0.218e-30 absolute error 0.334691608875284724452855297e-8+/-0.172e-29 relative error 0.22584412441403071322341262681624515e-6+/-0.116e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2066e1+/-0.380e-31 y[1] (closed_form) 0.148307836496490570487588135871798204e1+/-0.155e-29 y[1] (numeric) 0.148307836836148342418264922118811047e1+/-0.218e-30 absolute error 0.339657771930676786247012843e-8+/-0.176e-29 relative error 0.229022133930673418329537375173360255e-6+/-0.118e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2067e1+/-0.385e-31 y[1] (closed_form) 0.148419846833846707447305373033085972e1+/-0.156e-29 y[1] (numeric) 0.148419847178465259112810677462613699e1+/-0.218e-30 absolute error 0.344618551665505304429527727e-8+/-0.177e-29 relative error 0.232191690678201173139012265115152342e-6+/-0.119e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2068e1+/-0.390e-31 y[1] (closed_form) 0.14853187613757851347563323258734776e1+/-0.158e-29 y[1] (numeric) 0.148531876487152468563776892279723054e1+/-0.218e-30 absolute error 0.349573955088143659692375294e-8+/-0.179e-29 relative error 0.235352817306602087365360738078195054e-6+/-0.12e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2069e1+/-0.395e-31 y[1] (closed_form) 0.148643924392823082467092467095351325e1+/-0.16e-29 y[1] (numeric) 0.148643924747347071664330351627994697e1+/-0.218e-30 absolute error 0.354523989197237884532643372e-8+/-0.181e-29 relative error 0.238505536398738427139777256732898188e-6+/-0.121e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.207e1+/-0.400e-31 y[1] (closed_form) 0.148755991584733612611554286875450091e1+/-0.162e-29 y[1] (numeric) 0.148755991944202273593272515715050244e1+/-0.218e-30 absolute error 0.359468660981718228839600153e-8+/-0.183e-29 relative error 0.241649870470568282097562509649000062e-6+/-0.123e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2071e1+/-0.405e-31 y[1] (closed_form) 0.14886807769847938543081733162242645e1+/-0.163e-29 y[1] (numeric) 0.148868078062887362851628057955273346e1+/-0.218e-30 absolute error 0.364407977420810726332846896e-8+/-0.184e-29 relative error 0.244785841971366421096172962092074588e-6+/-0.123e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2072e1+/-0.410e-31 y[1] (closed_form) 0.148980182719245744844298913425783329e1+/-0.165e-29 y[1] (numeric) 0.148980183088587690328347675180890791e1+/-0.218e-30 absolute error 0.369341945484048761755107462e-8+/-0.186e-29 relative error 0.247913473283944339834831186631667798e-6+/-0.124e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2073e1+/-0.415e-31 y[1] (closed_form) 0.149092306632234076263805800936950469e1+/-0.168e-29 y[1] (numeric) 0.149092307006504648395090439660752385e1+/-0.218e-30 absolute error 0.374270572131284638723801916e-8+/-0.189e-29 relative error 0.251032786724869503631215881708548499e-6+/-0.126e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2074e1+/-0.420e-31 y[1] (closed_form) 0.149204449422661785717349812606213511e1+/-0.17e-29 y[1] (numeric) 0.149204449801855650030050960752356843e1+/-0.218e-30 absolute error 0.379193864312701148146143332e-8+/-0.191e-29 relative error 0.254143804544683788596392057224293755e-6+/-0.128e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2075e1+/-0.425e-31 y[1] (closed_form) 0.149316611075762279001973485366673352e1+/-0.171e-29 y[1] (numeric) 0.149316611459874107970796622469759086e1+/-0.218e-30 absolute error 0.384111828968823137103085734e-8+/-0.192e-29 relative error 0.25724654892812112443485231207689367e-6+/-0.128e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2076e1+/-0.430e-31 y[1] (closed_form) 0.149428791576784940865551083882435306e1+/-0.173e-29 y[1] (numeric) 0.149428791965809413896080161990472335e1+/-0.218e-30 absolute error 0.389024473030529078108037029e-8+/-0.194e-29 relative error 0.260341041994324342082319235482805877e-6+/-0.129e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2077e1+/-0.435e-31 y[1] (closed_form) 0.149540990910995114217530214499755178e1+/-0.175e-29 y[1] (numeric) 0.149540991304926917636592853146590285e1+/-0.218e-30 absolute error 0.393931803419062638646835107e-8+/-0.196e-29 relative error 0.263427305797061229379807214336584555e-6+/-0.131e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2078e1+/-0.440e-31 y[1] (closed_form) 0.149653209063674079368579307341288409e1+/-0.177e-29 y[1] (numeric) 0.149653209462507906414623558247352741e1+/-0.218e-30 absolute error 0.398833827046044250906064332e-8+/-0.198e-29 relative error 0.266505362324939797968356502034336049e-6+/-0.132e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h -0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = arctan ( x ) ; Iterations 79 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 3 Minutes 2 Seconds Time to Timeout 0.0 Seconds Percent Done 0.0%