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/sin_backpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=32; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=c(-0.1) x_end=c(-1.0) $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 # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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(2.0) - cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.101e0+/-0.55e-32 y[1] (closed_form) 0.100509616562402334062159700017103697e1+/-0.111e-32 y[1] (numeric) 0.100509616562402334062159700183492725e1+/-0.36e-32 absolute error 0.166389028e-26+/-0.471e-32 relative error 0.165545381318508779829189811874278578e-24+/-0.468e-30% Desired digits 8 Estimated correct digits 14 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.102e0+/-0.60e-32 y[1] (closed_form) 0.10051974914298239146653143235401343e1+/-0.116e-32 y[1] (numeric) 0.100519749142982391466531432688449742e1+/-0.465e-32 absolute error 0.334436312e-26+/-0.581e-32 relative error 0.332707069855782742694650505134627429e-24+/-0.577e-30% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.103e0+/-0.65e-32 y[1] (closed_form) 0.100529981203805015867883280717336865e1+/-0.122e-32 y[1] (numeric) 0.100529981203805015867883281221478551e1+/-0.62e-32 absolute error 0.504141686e-26+/-0.742e-32 relative error 0.501483915507703743050187189573812457e-24+/-0.738e-30% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.104e0+/-0.70e-32 y[1] (closed_form) 0.100540312734638147296262550551535087e1+/-0.127e-32 y[1] (numeric) 0.100540312734638147296262551227040064e1+/-0.725e-32 absolute error 0.675504977e-26+/-0.852e-32 relative error 0.671874752153297245218078536584110066e-24+/-0.847e-30% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.105e0+/-0.75e-32 y[1] (closed_form) 0.100550743725150255779498687539594379e1+/-0.133e-32 y[1] (numeric) 0.100550743725150255779498688388120396e1+/-0.93e-32 absolute error 0.848526017e-26+/-0.106e-31 relative error 0.843878409611168715318836008040412212e-24+/-0.105e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.106e0+/-0.80e-32 y[1] (closed_form) 0.100561274164910351674732388812778229e1+/-0.139e-32 y[1] (numeric) 0.10056127416491035167473238983598286e1+/-0.113e-31 absolute error 0.1023204631e-25+/-0.126e-31 relative error 0.10174937017226408231671174058445983e-23+/-0.125e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.107e0+/-0.85e-32 y[1] (closed_form) 0.100571904043387996099404376560822267e1+/-0.146e-32 y[1] (numeric) 0.100571904043387996099404377760362912e1+/-0.133e-31 absolute error 0.1199540645e-25+/-0.147e-31 relative error 0.119271943432879916279260525343658819e-23+/-0.146e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.108e0+/-0.90e-32 y[1] (closed_form) 0.100582633349953311461693403054667778e1+/-0.152e-32 y[1] (numeric) 0.100582633349953311461693404432201661e1+/-0.148e-31 absolute error 0.1377533883e-25+/-0.163e-31 relative error 0.136955440230640911623313599858021851e-23+/-0.162e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.109e0+/-0.95e-32 y[1] (closed_form) 0.100593462073876992090392956644606311e1+/-0.158e-32 y[1] (numeric) 0.100593462073876992090392958201790477e1+/-0.153e-31 absolute error 0.1557184166e-25+/-0.168e-31 relative error 0.154799738859408784605589595988337862e-23+/-0.167e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.11e0+/-0.100e-31 y[1] (closed_form) 0.100604390204330314964216038858015194e1+/-0.164e-32 y[1] (numeric) 0.100604390204330314964216040596506509e1+/-0.158e-31 absolute error 0.1738491315e-25+/-0.174e-31 relative error 0.172804716719526432250094004006737274e-23+/-0.172e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.111e0+/-0.105e-31 y[1] (closed_form) 0.100615417730385150540517283292800981e1+/-0.171e-32 y[1] (numeric) 0.100615417730385150540517285214256131e1+/-0.163e-31 absolute error 0.192145515e-25+/-0.18e-31 relative error 0.190970250220382876751635374800041863e-23+/-0.178e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.112e0+/-0.110e-31 y[1] (closed_form) 0.100626544641013973683421587585334325e1+/-0.178e-32 y[1] (numeric) 0.100626544641013973683421589691409811e1+/-0.168e-31 absolute error 0.2106075486e-25+/-0.185e-31 relative error 0.209296214384926127843774505152531916e-23+/-0.183e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.113e0+/-0.115e-31 y[1] (closed_form) 0.10063777092508987469134833032515498e1+/-0.184e-32 y[1] (numeric) 0.100637770925089874691348332617507119e1+/-0.173e-31 absolute error 0.2292352139e-25+/-0.191e-31 relative error 0.227782483448120232891630335293159456e-23+/-0.189e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.114e0+/-0.120e-31 y[1] (closed_form) 0.100649096571386570423920145393148991e1+/-0.191e-32 y[1] (numeric) 0.100649096571386570423920147873433913e1+/-0.178e-31 absolute error 0.2480284922e-25+/-0.197e-31 relative error 0.246428930461470002377229003164407041e-23+/-0.195e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.115e0+/-0.125e-31 y[1] (closed_form) 0.100660521568578415528245126815350963e1+/-0.198e-32 y[1] (numeric) 0.100660521568578415528245129485224612e1+/-0.188e-31 absolute error 0.2669873649e-25+/-0.207e-31 relative error 0.265235427692579306047867850476483995e-23+/-0.205e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.116e0+/-0.130e-31 y[1] (closed_form) 0.100672045905240413764561237851102091e1+/-0.205e-32 y[1] (numeric) 0.100672045905240413764561240712220221e1+/-0.203e-31 absolute error 0.286111813e-25+/-0.223e-31 relative error 0.284201846130462565017010437067084634e-23+/-0.221e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.117e0+/-0.135e-31 y[1] (closed_form) 0.100683669569848229431231598672098655e1+/-0.212e-32 y[1] (numeric) 0.100683669569848229431231601726116827e1+/-0.208e-31 absolute error 0.3054018172e-25+/-0.229e-31 relative error 0.303328055587138412554780637710431311e-23+/-0.227e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.118e0+/-0.140e-31 y[1] (closed_form) 0.100695392550778198889079227637995387e1+/-0.220e-32 y[1] (numeric) 0.100695392550778198889079230886568971e1+/-0.213e-31 absolute error 0.3248573584e-25+/-0.235e-31 relative error 0.322613925196411007007993077318623318e-23+/-0.233e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.119e0+/-0.145e-31 y[1] (closed_form) 0.100707214836307342185049711834782808e1+/-0.227e-32 y[1] (numeric) 0.100707214836307342185049715279566978e1+/-0.223e-31 absolute error 0.344478417e-25+/-0.245e-31 relative error 0.342059322720746469520985187010989651e-23+/-0.243e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.12e0+/-0.150e-31 y[1] (closed_form) 0.100719136414613374775190183214236614e1+/-0.234e-32 y[1] (numeric) 0.100719136414613374775190186856886348e1+/-0.243e-31 absolute error 0.3642649734e-25+/-0.266e-31 relative error 0.361664115050085623490667642819632676e-23+/-0.264e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.121e0+/-0.155e-31 y[1] (closed_form) 0.100731157273774719346932877356439898e1+/-0.242e-32 y[1] (numeric) 0.100731157273774719346932881198609978e1+/-0.263e-31 absolute error 0.384217008e-25+/-0.287e-31 relative error 0.381428168203951139953138531604545316e-23+/-0.284e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.122e0+/-0.160e-31 y[1] (closed_form) 0.100743277401770517740671452572804647e1+/-0.250e-32 y[1] (numeric) 0.100743277401770517740671456616149653e1+/-0.278e-31 absolute error 0.4043345006e-25+/-0.303e-31 relative error 0.40135134673799485026837136222853683e-23+/-0.3e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.123e0+/-0.165e-31 y[1] (closed_form) 0.100755496786480642970618147774266846e1+/-0.257e-32 y[1] (numeric) 0.100755496786480642970618152020441158e1+/-0.288e-31 absolute error 0.4246174312e-25+/-0.313e-31 relative error 0.421433514540494133588750548402756453e-23+/-0.31e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.124e0+/-0.170e-31 y[1] (closed_form) 0.100767815415685711344929758248499089e1+/-0.265e-32 y[1] (numeric) 0.100767815415685711344929762699156884e1+/-0.308e-31 absolute error 0.4450657795e-25+/-0.334e-31 relative error 0.441674534338193271439769981638996606e-23+/-0.331e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.125e0+/-0.175e-31 y[1] (closed_form) 0.100780233277067094685090309221174913e1+/-0.273e-32 y[1] (numeric) 0.100780233277067094685090313877970164e1+/-0.328e-31 absolute error 0.4656795251e-25+/-0.355e-31 relative error 0.462074267897102649733005427185331471e-23+/-0.352e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.126e0+/-0.180e-31 y[1] (closed_form) 0.100792750358206932644538207819629584e1+/-0.281e-32 y[1] (numeric) 0.100792750358206932644538212684216056e1+/-0.348e-31 absolute error 0.4864586472e-25+/-0.376e-31 relative error 0.482632575727100068749614230405409847e-23+/-0.373e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.127e0+/-0.185e-31 y[1] (closed_form) 0.10080536664658814512652555481279191e1+/-0.289e-32 y[1] (numeric) 0.100805366646588145126525559886823163e1+/-0.363e-31 absolute error 0.5074031253e-25+/-0.391e-31 relative error 0.503349317778780727473536452062829616e-23+/-0.387e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.128e0+/-0.190e-31 y[1] (closed_form) 0.100818082129594444801197198269110187e1+/-0.298e-32 y[1] (numeric) 0.10081808212959444480119720355423957e1+/-0.373e-31 absolute error 0.5285129383e-25+/-0.402e-31 relative error 0.524224352552783498496380434317906801e-23+/-0.398e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.129e0+/-0.195e-31 y[1] (closed_form) 0.100830896794510349721877012054461684e1+/-0.306e-32 y[1] (numeric) 0.100830896794510349721877017552342334e1+/-0.393e-31 absolute error 0.549788065e-25+/-0.423e-31 relative error 0.545257537598269910388469320548794206e-23+/-0.419e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.13e0+/-0.200e-31 y[1] (closed_form) 0.10084381062852119604054878288481854e1+/-0.314e-32 y[1] (numeric) 0.100843810628521196040548788597103383e1+/-0.408e-31 absolute error 0.5712284843e-25+/-0.439e-31 relative error 0.566448729713553731307728901076500742e-23+/-0.435e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.131e0+/-0.205e-31 y[1] (closed_form) 0.100856823618713150822518990453842648e1+/-0.323e-32 y[1] (numeric) 0.100856823618713150822518996382184395e1+/-0.413e-31 absolute error 0.5928341747e-25+/-0.445e-31 relative error 0.587797784452538037360886582266439063e-23+/-0.441e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.132e0+/-0.210e-31 y[1] (closed_form) 0.10086993575207322496024866597369727e1+/-0.332e-32 y[1] (numeric) 0.100869935752073224960248672119748416e1+/-0.423e-31 absolute error 0.6146051146e-25+/-0.456e-31 relative error 0.609304556424650786844852058098273291e-23+/-0.452e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.133e0+/-0.215e-31 y[1] (closed_form) 0.100883147015489286186341415298293014e1+/-0.340e-32 y[1] (numeric) 0.100883147015489286186341421663705836e1+/-0.443e-31 absolute error 0.6365412822e-25+/-0.477e-31 relative error 0.630968899198066671588271696073551927e-23+/-0.472e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.134e0+/-0.220e-31 y[1] (closed_form) 0.100896457395750072185674593642029452e1+/-0.349e-32 y[1] (numeric) 0.100896457395750072185674600228456008e1+/-0.463e-31 absolute error 0.6586426556e-25+/-0.497e-31 relative error 0.652790665401244436614092046747365575e-23+/-0.492e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.135e0+/-0.225e-31 y[1] (closed_form) 0.100909866879545203806660519763950343e1+/-0.358e-32 y[1] (numeric) 0.100909866879545203806660526573042469e1+/-0.478e-31 absolute error 0.6809092126e-25+/-0.513e-31 relative error 0.674769706527105495810057754880022801e-23+/-0.508e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.136e0+/-0.230e-31 y[1] (closed_form) 0.100923375453465198371624518357199214e1+/-0.367e-32 y[1] (numeric) 0.100923375453465198371624525390608525e1+/-0.483e-31 absolute error 0.7033409311e-25+/-0.519e-31 relative error 0.696905873331896004302289228599265792e-23+/-0.514e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.137e0+/-0.235e-31 y[1] (closed_form) 0.100936983104001483086286480266842112e1+/-0.377e-32 y[1] (numeric) 0.100936983104001483086286487526219997e1+/-0.488e-31 absolute error 0.7259377885e-25+/-0.525e-31 relative error 0.719199015243027778832346851050027157e-23+/-0.52e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.138e0+/-0.240e-31 y[1] (closed_form) 0.100950689817546408548332531055614756e1+/-0.387e-32 y[1] (numeric) 0.100950689817546408548332538542612379e1+/-0.493e-31 absolute error 0.7486997623e-25+/-0.531e-31 relative error 0.741648980956113526038427714590296607e-23+/-0.525e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.139e0+/-0.245e-31 y[1] (closed_form) 0.100964495580393262355063299347051249e1+/-0.396e-32 y[1] (numeric) 0.100964495580393262355063307063319547e1+/-0.498e-31 absolute error 0.7716268298e-25+/-0.537e-31 relative error 0.764255618140131226471877495535149903e-23+/-0.531e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.14e0+/-0.250e-31 y[1] (closed_form) 0.100978400378736282810105177298859972e1+/-0.405e-32 y[1] (numeric) 0.100978400378736282810105185246049651e1+/-0.503e-31 absolute error 0.7947189679e-25+/-0.543e-31 relative error 0.787018773241875839987590166043748709e-23+/-0.537e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.141e0+/-0.255e-31 y[1] (closed_form) 0.100992404198670672729170866496428407e1+/-0.415e-32 y[1] (numeric) 0.100992404198670672729170874676189943e1+/-0.508e-31 absolute error 0.8179761536e-25+/-0.549e-31 relative error 0.809938291983712108313416286361855568e-23+/-0.543e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.142e0+/-0.260e-31 y[1] (closed_form) 0.101006507026192613344855403507061489e1+/-0.425e-32 y[1] (numeric) 0.101006507026192613344855411921045126e1+/-0.518e-31 absolute error 0.8413983637e-25+/-0.56e-31 relative error 0.833014019068902025170360987206014896e-23+/-0.554e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.143e0+/-0.265e-31 y[1] (closed_form) 0.101020708847199278310453760300086654e1+/-0.434e-32 y[1] (numeric) 0.1010207088471992783104537689499424e1+/-0.538e-31 absolute error 0.8649855746e-25+/-0.581e-31 relative error 0.856245797986182970423719518528523895e-23+/-0.575e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.144e0+/-0.270e-31 y[1] (closed_form) 0.101035009647488847802786015716392149e1+/-0.444e-32 y[1] (numeric) 0.101035009647488847802786024603769778e1+/-0.558e-31 absolute error 0.8887377629e-25+/-0.602e-31 relative error 0.879633471606333374809225931632558421e-23+/-0.595e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.145e0+/-0.275e-31 y[1] (closed_form) 0.10104940941276052272401599516340238e1+/-0.454e-32 y[1] (numeric) 0.101049409412760522724016004289951428e1+/-0.578e-31 absolute error 0.9126549048e-25+/-0.623e-31 relative error 0.903176881590710127185125732095124719e-23+/-0.616e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.146e0+/-0.280e-31 y[1] (closed_form) 0.101063908128614539002449176718034073e1+/-0.464e-32 y[1] (numeric) 0.101063908128614539002449186085403836e1+/-0.598e-31 absolute error 0.9367369763e-25+/-0.644e-31 relative error 0.926875868591884329750637932880399452e-23+/-0.637e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.147e0+/-0.285e-31 y[1] (closed_form) 0.101078505780552181992295562840918889e1+/-0.474e-32 y[1] (numeric) 0.101078505780552181992295572450758424e1+/-0.619e-31 absolute error 0.9609839535e-25+/-0.666e-31 relative error 0.950730272553055778501892592918347188e-23+/-0.658e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.148e0+/-0.290e-31 y[1] (closed_form) 0.101093202353975800972383117940220758e1+/-0.485e-32 y[1] (numeric) 0.101093202353975800972383127794178877e1+/-0.635e-31 absolute error 0.9853958119e-25+/-0.683e-31 relative error 0.974739932018036700669043900447206184e-23+/-0.675e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.149e0+/-0.295e-31 y[1] (closed_form) 0.101107997834188823743807273072818583e1+/-0.495e-32 y[1] (numeric) 0.101107997834188823743807283172543856e1+/-0.646e-31 absolute error 0.10099725273e-24+/-0.695e-31 relative error 0.998904685024319844526089590041391346e-23+/-0.687e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.15e0+/-0.300e-31 y[1] (closed_form) 0.101122892206395771326501900134566104e1+/-0.505e-32 y[1] (numeric) 0.101122892206395771326501910481706855e1+/-0.662e-31 absolute error 0.10347140751e-24+/-0.712e-31 relative error 0.102322436841314642426658344261674984e-22+/-0.704e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.151e0+/-0.305e-31 y[1] (closed_form) 0.101137885455702272754717058969879426e1+/-0.516e-32 y[1] (numeric) 0.101137885455702272754717069566083731e1+/-0.668e-31 absolute error 0.10596204305e-24+/-0.719e-31 relative error 0.104769881803007119895048052158326023e-22+/-0.71e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.152e0+/-0.310e-31 y[1] (closed_form) 0.101152977567115079971388721924138068e1+/-0.527e-32 y[1] (numeric) 0.101152977567115079971388732771053754e1+/-0.679e-31 absolute error 0.10846915686e-24+/-0.731e-31 relative error 0.107232786882650715178562229896621095e-22+/-0.722e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.153e0+/-0.315e-31 y[1] (closed_form) 0.101168168525542082821385581470416178e1+/-0.537e-32 y[1] (numeric) 0.101168168525542082821385592569690821e1+/-0.695e-31 absolute error 0.11099274643e-24+/-0.748e-31 relative error 0.109711135476350440121240340440337992e-22+/-0.739e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.154e0+/-0.320e-31 y[1] (closed_form) 0.101183458315792324143617947664985722e1+/-0.548e-32 y[1] (numeric) 0.101183458315792324143617959018266645e1+/-0.701e-31 absolute error 0.11353280923e-24+/-0.755e-31 relative error 0.112204910881446159039361848429418106e-22+/-0.746e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.155e0+/-0.325e-31 y[1] (closed_form) 0.101198846922576014961993643323951864e1+/-0.562e-32 y[1] (numeric) 0.101198846922576014961993654932886138e1+/-0.712e-31 absolute error 0.11608934274e-24+/-0.768e-31 relative error 0.114714096326429711967231345863634899e-22+/-0.758e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.156e0+/-0.330e-31 y[1] (closed_form) 0.101214334330504549775205705966391288e1+/-0.572e-32 y[1] (numeric) 0.101214334330504549775205717832625726e1+/-0.733e-31 absolute error 0.11866234438e-24+/-0.79e-31 relative error 0.117238674902035956046115932761041604e-22+/-0.78e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.157e0+/-0.335e-31 y[1] (closed_form) 0.101229920524090521945336606737565638e1+/-0.582e-32 y[1] (numeric) 0.101229920524090521945336618862746799e1+/-0.749e-31 absolute error 0.12125181161e-24+/-0.807e-31 relative error 0.119778629660333184728574366740952768e-22+/-0.797e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.158e0+/-0.340e-31 y[1] (closed_form) 0.10124560548774773918526359770927358e1+/-0.592e-32 y[1] (numeric) 0.10124560548774773918526361009504776e1+/-0.76e-31 absolute error 0.1238577418e-24+/-0.819e-31 relative error 0.122333943486553274473650851117424479e-22+/-0.808e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.159e0+/-0.345e-31 y[1] (closed_form) 0.101261389205791239144849700153284753e1+/-0.602e-32 y[1] (numeric) 0.101261389205791239144849712801297991e1+/-0.776e-31 absolute error 0.12648013238e-24+/-0.836e-31 relative error 0.124904599247554541701525439221374298e-22+/-0.825e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.16e0+/-0.350e-31 y[1] (closed_form) 0.101277271662437305095904747598166231e1+/-0.612e-32 y[1] (numeric) 0.101277271662437305095904760510064301e1+/-0.782e-31 absolute error 0.1291189807e-24+/-0.843e-31 relative error 0.127490579653804889638255596849262185e-22+/-0.832e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.161e0+/-0.355e-31 y[1] (closed_form) 0.101293252841803481715900798709765483e1+/-0.627e-32 y[1] (numeric) 0.101293252841803481715900811887193897e1+/-0.788e-31 absolute error 0.13177428414e-24+/-0.85e-31 relative error 0.130091867368304189764174539830347798e-22+/-0.839e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.162e0+/-0.360e-31 y[1] (closed_form) 0.101309332727908590970426136281252284e1+/-0.637e-32 y[1] (numeric) 0.101309332727908590970426149725856287e1+/-0.794e-31 absolute error 0.13444604003e-24+/-0.857e-31 relative error 0.1327084449278609678591536632219692e-22+/-0.845e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.163e0+/-0.365e-31 y[1] (closed_form) 0.101325511304672748094361969880044111e1+/-0.647e-32 y[1] (numeric) 0.101325511304672748094361983593468683e1+/-0.8e-31 absolute error 0.13713424572e-24+/-0.864e-31 relative error 0.135340294812483111499725364258330268e-22+/-0.852e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.164e0+/-0.370e-31 y[1] (closed_form) 0.101341788555917377671765860976244152e1+/-0.662e-32 y[1] (numeric) 0.101341788555917377671765874960134002e1+/-0.811e-31 absolute error 0.1398388985e-24+/-0.877e-31 relative error 0.137987399366689748875588710679318569e-22+/-0.865e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.165e0+/-0.375e-31 y[1] (closed_form) 0.101358164465365229814445790670506777e1+/-0.672e-32 y[1] (numeric) 0.101358164465365229814445804926506345e1+/-0.827e-31 absolute error 0.14255999568e-24+/-0.894e-31 relative error 0.140649740878756456289157438429597617e-22+/-0.882e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.166e0+/-0.380e-31 y[1] (closed_form) 0.101374639016640396439208691448610973e1+/-0.687e-32 y[1] (numeric) 0.101374639016640396439208705978364426e1+/-0.838e-31 absolute error 0.14529753453e-24+/-0.906e-31 relative error 0.143327301521783736089215759918738803e-22+/-0.893e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.167e0+/-0.385e-31 y[1] (closed_form) 0.101391212193268327643767165715566412e1+/-0.697e-32 y[1] (numeric) 0.101391212193268327643767180520717642e1+/-0.859e-31 absolute error 0.1480515123e-24+/-0.928e-31 relative error 0.146020063373726576513583509250001626e-22+/-0.915e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.168e0+/-0.390e-31 y[1] (closed_form) 0.101407883978675848181288015203898283e1+/-0.713e-32 y[1] (numeric) 0.101407883978675848181288030286090909e1+/-0.875e-31 absolute error 0.15082192626e-24+/-0.946e-31 relative error 0.148728008457128428318595885804750961e-22+/-0.932e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.169e0+/-0.395e-31 y[1] (closed_form) 0.101424654356191174033566106708954365e1+/-0.723e-32 y[1] (numeric) 0.101424654356191174033566122069831728e1+/-0.886e-31 absolute error 0.15360877363e-24+/-0.958e-31 relative error 0.151451118670362417328105128718944364e-22+/-0.944e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.17e0+/-0.400e-31 y[1] (closed_form) 0.101441523309043929082807000978749688e1+/-0.733e-32 y[1] (numeric) 0.10144152330904392908280701661995485e1+/-0.907e-31 absolute error 0.15641205162e-24+/-0.98e-31 relative error 0.154189375827378986329702606077600412e-22+/-0.966e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.171e0+/-0.405e-31 y[1] (closed_form) 0.10145849082036516188200167297710922e1+/-0.748e-32 y[1] (numeric) 0.101458490820365161882001688900284963e1+/-0.923e-31 absolute error 0.15923175743e-24+/-0.997e-31 relative error 0.156942761657990631698087662713205789e-22+/-0.982e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.172e0+/-0.410e-31 y[1] (closed_form) 0.101475556873187362523876553146785843e1+/-0.763e-32 y[1] (numeric) 0.101475556873187362523876569353574668e1+/-0.934e-31 absolute error 0.16206788825e-24+/-0.101e-30 relative error 0.159711257808157740265289676841929922e-22+/-0.995e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.173e0+/-0.415e-31 y[1] (closed_form) 0.101492721450444479608402020723918109e1+/-0.773e-32 y[1] (numeric) 0.101492721450444479608402037215962232e1+/-0.95e-31 absolute error 0.16492044123e-24+/-0.102e-30 relative error 0.162494845810716748245858628338070446e-22+/-0.1e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.174e0+/-0.420e-31 y[1] (closed_form) 0.101509984534971937308842381596748399e1+/-0.788e-32 y[1] (numeric) 0.10150998453497193730884239837568975e1+/-0.961e-31 absolute error 0.16778941351e-24+/-0.103e-30 relative error 0.165293507115247031011091216274307494e-22+/-0.101e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.175e0+/-0.425e-31 y[1] (closed_form) 0.101527346109506652536330264660045822e1+/-0.798e-32 y[1] (numeric) 0.101527346109506652536330281727526046e1+/-0.982e-31 absolute error 0.17067480224e-24+/-0.106e-30 relative error 0.168107223108059386583969119976848042e-22+/-0.104e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.176e0+/-0.430e-31 y[1] (closed_form) 0.101544806156687052202948272092267872e1+/-0.813e-32 y[1] (numeric) 0.101544806156687052202948289449928324e1+/-0.1e-30 absolute error 0.17357660452e-24+/-0.108e-30 relative error 0.170935975053382306461335137083445704e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.177e0+/-0.435e-31 y[1] (closed_form) 0.101562364659053090583300620475249143e1+/-0.829e-32 y[1] (numeric) 0.101562364659053090583300638124730889e1+/-0.1e-30 absolute error 0.17649481746e-24+/-0.108e-30 relative error 0.1737797441527643304496673923918129e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.178e0+/-0.440e-31 y[1] (closed_form) 0.101580021599046266774557411186222802e1+/-0.839e-32 y[1] (numeric) 0.101580021599046266774557429129166617e1+/-0.1e-30 absolute error 0.17942943815e-24+/-0.108e-30 relative error 0.176638511515816275602419810120585165e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.179e0+/-0.445e-31 y[1] (closed_form) 0.101597776959009642254954070019359417e1+/-0.854e-32 y[1] (numeric) 0.10159777695900964225495408825740578e1+/-0.1e-30 absolute error 0.18238046363e-24+/-0.108e-30 relative error 0.179512258130985205320093899593035679e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.18e0+/-0.450e-31 y[1] (closed_form) 0.101615630721187858540728397538846725e1+/-0.869e-32 y[1] (numeric) 0.101615630721187858540728416073635821e1+/-0.1e-30 absolute error 0.18534789096e-24+/-0.108e-30 relative error 0.182400964934770750355335998521728717e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.181e0+/-0.455e-31 y[1] (closed_form) 0.101633582867727154941477573227931411e1+/-0.884e-32 y[1] (numeric) 0.101633582867727154941477592061103129e1+/-0.1e-30 absolute error 0.18833171718e-24+/-0.108e-30 relative error 0.185304612772638039671440564031650287e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.182e0+/-0.460e-31 y[1] (closed_form) 0.101651633380675386413917358078398353e1+/-0.894e-32 y[1] (numeric) 0.101651633380675386413917377211592283e1+/-0.1e-30 absolute error 0.1913319393e-24+/-0.108e-30 relative error 0.188223182389485738136890254478055756e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.183e0+/-0.465e-31 y[1] (closed_form) 0.101669782241982041514025641862772553e1+/-0.909e-32 y[1] (numeric) 0.101669782241982041514025661297627985e1+/-0.1e-30 absolute error 0.19434855432e-24+/-0.109e-30 relative error 0.191156654449633053283094873417571648e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.184e0+/-0.470e-31 y[1] (closed_form) 0.101688029433498260447552382947192508e1+/-0.924e-32 y[1] (numeric) 0.10168802943349826044755240268534843e1+/-0.1e-30 absolute error 0.19738155922e-24+/-0.109e-30 relative error 0.194105009527284829424380369927422606e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.185e0+/-0.475e-31 y[1] (closed_form) 0.101706374936976853218877890136519397e1+/-0.940e-32 y[1] (numeric) 0.101706374936976853218877910179614494e1+/-0.1e-30 absolute error 0.20043095097e-24+/-0.109e-30 relative error 0.19706822811667272446287383933990921e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.186e0+/-0.480e-31 y[1] (closed_form) 0.101724818734072317878201297694912666e1+/-0.950e-32 y[1] (numeric) 0.101724818734072317878201318044585319e1+/-0.1e-30 absolute error 0.20349672653e-24+/-0.109e-30 relative error 0.200046290632356361183854452742201919e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.187e0+/-0.485e-31 y[1] (closed_form) 0.101743360806340858867040986354917574e1+/-0.965e-32 y[1] (numeric) 0.101743360806340858867041007012805855e1+/-0.1e-30 absolute error 0.20657888281e-24+/-0.109e-30 relative error 0.203039177370210845559324112502579376e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.188e0+/-0.490e-31 y[1] (closed_form) 0.101762001135240405462028604816172481e1+/-0.980e-32 y[1] (numeric) 0.101762001135240405462028625783914156e1+/-0.1e-30 absolute error 0.20967741675e-24+/-0.109e-30 relative error 0.206046868586380666278334621079645304e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.189e0+/-0.495e-31 y[1] (closed_form) 0.101780739702130630316978247941251378e1+/-0.995e-32 y[1] (numeric) 0.101780739702130630316978269220483903e1+/-0.1e-30 absolute error 0.21279232525e-24+/-0.109e-30 relative error 0.209069344428772613021295321871787003e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.19e0+/-0.500e-31 y[1] (closed_form) 0.101799576488272968103212249581008622e1+/-0.1e-31 y[1] (numeric) 0.10179957648827296810321227117336914e1+/-0.1e-30 absolute error 0.21592360518e-24+/-0.11e-30 relative error 0.212106584947211255708855202586338392e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.191e0+/-0.505e-31 y[1] (closed_form) 0.101818511474830634248124949705186407e1+/-0.102e-31 y[1] (numeric) 0.10181851147483063424812497161231175e1+/-0.1e-30 absolute error 0.21907125343e-24+/-0.11e-30 relative error 0.215158570142870383118656842355568711e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.192e0+/-0.510e-31 y[1] (closed_form) 0.101837544642868643771965697276079411e1+/-0.103e-31 y[1] (numeric) 0.101837544642868643771965719499606094e1+/-0.1e-30 absolute error 0.22223526683e-24+/-0.11e-30 relative error 0.218225279889996269748615289053879555e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.193e0+/-0.515e-31 y[1] (closed_form) 0.101856675973353830222822252083823442e1+/-0.105e-31 y[1] (numeric) 0.101856675973353830222822274625387666e1+/-0.1e-30 absolute error 0.22541564224e-24+/-0.11e-30 relative error 0.22130669402462118184384874520370548e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.194e0+/-0.520e-31 y[1] (closed_form) 0.1018759054471548647097856505614842e1+/-0.105e-31 y[1] (numeric) 0.101875905447154864709785673422721845e1+/-0.1e-30 absolute error 0.22861237645e-24+/-0.11e-30 relative error 0.224402792246676972267770501092011036e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.195e0+/-0.525e-31 y[1] (closed_form) 0.101895233045042275034277502416666403e1+/-0.107e-31 y[1] (numeric) 0.101895233045042275034277525599213032e1+/-0.1e-30 absolute error 0.23182546629e-24+/-0.11e-30 relative error 0.22751355422831480169854693310763771e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.196e0+/-0.530e-31 y[1] (closed_form) 0.101914658747688464919520586753940954e1+/-0.108e-31 y[1] (numeric) 0.101914658747688464919520610259431808e1+/-0.1e-30 absolute error 0.23505490854e-24+/-0.11e-30 relative error 0.230638959525860454749050493980986385e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.197e0+/-0.535e-31 y[1] (closed_form) 0.101934182535667733338133518219096455e1+/-0.11e-31 y[1] (numeric) 0.101934182535667733338133542049166451e1+/-0.1e-30 absolute error 0.23830069996e-24+/-0.111e-30 relative error 0.233778987609594391065844545866987866e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.198e0+/-0.540e-31 y[1] (closed_form) 0.101953804389456293937830155572159573e1+/-0.112e-31 y[1] (numeric) 0.101953804389456293937830179728443304e1+/-0.1e-30 absolute error 0.24156283731e-24+/-0.111e-30 relative error 0.236933617883690845608230237208676649e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.199e0+/-0.545e-31 y[1] (closed_form) 0.10197352428943229456520432699139449e1+/-0.113e-31 y[1] (numeric) 0.101973524289432294565204351475526223e1+/-0.1e-30 absolute error 0.24484131733e-24+/-0.111e-30 relative error 0.240102829666909295768851024360814076e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.2e0+/-0.550e-31 y[1] (closed_form) 0.101993342215875836887580348325183113e1+/-0.115e-31 y[1] (numeric) 0.101993342215875836887580373138796787e1+/-0.1e-30 absolute error 0.24813613674e-24+/-0.111e-30 relative error 0.243286602192918643141116481060938532e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.201e0+/-0.555e-31 y[1] (closed_form) 0.102013258148968996112909712442902945e1+/-0.116e-31 y[1] (numeric) 0.102013258148968996112909737587632171e1+/-0.1e-30 absolute error 0.25144729226e-24+/-0.111e-30 relative error 0.246484914630227668158179324011417906e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.202e0+/-0.560e-31 y[1] (closed_form) 0.1020332720687958408076942297897566e1+/-0.118e-31 y[1] (numeric) 0.102033272068795840807694255267234654e1+/-0.1e-30 absolute error 0.25477478054e-24+/-0.111e-30 relative error 0.249697746013886858545402457097359843e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.203e0+/-0.565e-31 y[1] (closed_form) 0.102053383955342452812915802224063879e1+/-0.119e-31 y[1] (numeric) 0.102053383955342452812915828035923708e1+/-0.1e-30 absolute error 0.25811859829e-24+/-0.111e-30 relative error 0.252925075373247921776681569256113499e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.204e0+/-0.570e-31 y[1] (closed_form) 0.102073593788496947257952914208902262e1+/-0.121e-31 y[1] (numeric) 0.102073593788496947257952940356776478e1+/-0.1e-30 absolute error 0.26147874216e-24+/-0.112e-30 relative error 0.256166881614652242703529428274927165e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.205e0+/-0.575e-31 y[1] (closed_form) 0.102093901548049492672463827443272425e1+/-0.123e-31 y[1] (numeric) 0.102093901548049492672463853928793303e1+/-0.1e-30 absolute error 0.26485520878e-24+/-0.112e-30 relative error 0.259423143560978023397403956652688117e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.206e0+/-0.580e-31 y[1] (closed_form) 0.102114307213692331196216367051270148e1+/-0.124e-31 y[1] (numeric) 0.102114307213692331196216393876069625e1+/-0.1e-30 absolute error 0.26824799477e-24+/-0.112e-30 relative error 0.262693839961763055863318651311410282e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.207e0+/-0.585e-31 y[1] (closed_form) 0.102134810765019798886844089501162585e1+/-0.126e-31 y[1] (numeric) 0.10213481076501979888684411666687226e1+/-0.1e-30 absolute error 0.27165709675e-24+/-0.112e-30 relative error 0.265978949503316621853398056166418712e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.208e0+/-0.590e-31 y[1] (closed_form) 0.102155412181528346125508524499893278e1+/-0.127e-31 y[1] (numeric) 0.102155412181528346125508552008144409e1+/-0.1e-30 absolute error 0.27508251131e-24+/-0.112e-30 relative error 0.269278450779664303862123207409653035e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.209e0+/-0.595e-31 y[1] (closed_form) 0.102176111442616558120447085202474506e1+/-0.129e-31 y[1] (numeric) 0.102176111442616558120447113054898007e1+/-0.1e-30 absolute error 0.27852423501e-24+/-0.112e-30 relative error 0.272592322292890209304025253194463715e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.21e0+/-0.600e-31 y[1] (closed_form) 0.102196908527585175508386143190065369e1+/-0.131e-31 y[1] (numeric) 0.102196908527585175508386171388291811e1+/-0.1e-30 absolute error 0.28198226442e-24+/-0.113e-30 relative error 0.27592054249262034583924768259237536e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.211e0+/-0.605e-31 y[1] (closed_form) 0.102217803415637115053798666805377438e1+/-0.132e-31 y[1] (numeric) 0.102217803415637115053798695351037046e1+/-0.1e-30 absolute error 0.28545659608e-24+/-0.113e-30 relative error 0.279263089737194753057080308509527936e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.212e0+/-0.610e-31 y[1] (closed_form) 0.102238796085877490445985723589494553e1+/-0.134e-31 y[1] (numeric) 0.102238796085877490445985752484217204e1+/-0.1e-30 absolute error 0.28894722651e-24+/-0.113e-30 relative error 0.282619942303793450433052258647407533e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.213e0+/-0.615e-31 y[1] (closed_form) 0.102259886517313633193961049740337429e1+/-0.135e-31 y[1] (numeric) 0.102259886517313633193961078985752652e1+/-0.1e-30 absolute error 0.29245415223e-24+/-0.113e-30 relative error 0.28599107840833028278094964985799712e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.214e0+/-0.620e-31 y[1] (closed_form) 0.102281074688855113619117791709944859e1+/-0.138e-31 y[1] (numeric) 0.102281074688855113619117821307681832e1+/-0.1e-30 absolute error 0.29597736973e-24+/-0.113e-30 relative error 0.289376476176438415427467866635900399e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.215e0+/-0.625e-31 y[1] (closed_form) 0.102302360579313761945656427275579295e1+/-0.14e-31 y[1] (numeric) 0.102302360579313761945656457227266843e1+/-0.1e-30 absolute error 0.29951687548e-24+/-0.114e-30 relative error 0.292776113653592822213564548966123918e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.216e0+/-0.630e-31 y[1] (closed_form) 0.102323744167403689488752775658493275e1+/-0.141e-31 y[1] (numeric) 0.10232374416740368948875280596575987e1+/-0.1e-30 absolute error 0.30307266595e-24+/-0.114e-30 relative error 0.296189968824994386729411258366243049e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.217e0+/-0.635e-31 y[1] (closed_form) 0.102345225431741309940444908524112264e1+/-0.143e-31 y[1] (numeric) 0.102345225431741309940444939188586021e1+/-0.1e-30 absolute error 0.30664473757e-24+/-0.114e-30 relative error 0.299618019576805109824598996517470256e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.218e0+/-0.640e-31 y[1] (closed_form) 0.102366804350845360753217675978496719e1+/-0.144e-31 y[1] (numeric) 0.102366804350845360753217707001805398e1+/-0.1e-30 absolute error 0.31023308679e-24+/-0.114e-30 relative error 0.303060243755121234905178889958690186e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.219e0+/-0.645e-31 y[1] (closed_form) 0.102388480903136924621263463978339367e1+/-0.146e-31 y[1] (numeric) 0.102388480903136924621263495362110367e1+/-0.1e-30 absolute error 0.31383771e-24+/-0.114e-30 relative error 0.306516619088138854013957565922679866e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.22e0+/-0.650e-31 y[1] (closed_form) 0.102410255066939451059397701895530364e1+/-0.148e-31 y[1] (numeric) 0.102410255066939451059397733641390725e1+/-0.1e-30 absolute error 0.31745860361e-24+/-0.114e-30 relative error 0.309987123264653838945935849654799723e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.221e0+/-0.655e-31 y[1] (closed_form) 0.102432126820478778079607541322581045e1+/-0.15e-31 y[1] (numeric) 0.102432126820478778079607573432157444e1+/-0.1e-30 absolute error 0.32109576399e-24+/-0.115e-30 relative error 0.313471733875787121972829738666342384e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.222e0+/-0.660e-31 y[1] (closed_form) 0.102454096141883153965212029572033809e1+/-0.152e-31 y[1] (numeric) 0.102454096141883153965212062046952559e1+/-0.1e-30 absolute error 0.3247491875e-24+/-0.115e-30 relative error 0.316970428444629835966454307515908207e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.223e0+/-0.665e-31 y[1] (closed_form) 0.102476163009183259142612003711499173e1+/-0.153e-31 y[1] (numeric) 0.102476163009183259142612036553386223e1+/-0.1e-30 absolute error 0.3284188705e-24+/-0.115e-30 relative error 0.320483184436334914944772262570091707e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.224e0+/-0.670e-31 y[1] (closed_form) 0.102498327400312228150607833386248598e1+/-0.155e-31 y[1] (numeric) 0.102498327400312228150607866596729529e1+/-0.1e-30 absolute error 0.33210480931e-24+/-0.115e-30 relative error 0.324009979219415388854529146260089553e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.225e0+/-0.675e-31 y[1] (closed_form) 0.102520589293105671707263043113451039e1+/-0.157e-31 y[1] (numeric) 0.102520589293105671707263076694151064e1+/-0.1e-30 absolute error 0.33580700025e-24+/-0.115e-30 relative error 0.327550790105127133516487916455256961e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.226e0+/-0.680e-31 y[1] (closed_form) 0.102542948665301698874291747186269835e1+/-0.159e-31 y[1] (numeric) 0.102542948665301698874291781138813796e1+/-0.1e-30 absolute error 0.33952543961e-24+/-0.115e-30 relative error 0.331105594318537493120394436001936081e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.227e0+/-0.685e-31 y[1] (closed_form) 0.102565405494540939318947732802232062e1+/-0.161e-31 y[1] (numeric) 0.10256540549454093931894776712824443e1+/-0.1e-30 absolute error 0.34326012368e-24+/-0.116e-30 relative error 0.334674369028132079962550847732300561e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.228e0+/-0.690e-31 y[1] (closed_form) 0.102587959758366565673392929528642388e1+/-0.162e-31 y[1] (numeric) 0.10258795975836656567339296422974726e1+/-0.1e-30 absolute error 0.34701104872e-24+/-0.116e-30 relative error 0.338257091316897447422004201151750106e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.229e0+/-0.695e-31 y[1] (closed_form) 0.102610611434224315991522905738435225e1+/-0.164e-31 y[1] (numeric) 0.102610611434224315991522940816256323e1+/-0.1e-30 absolute error 0.35077821098e-24+/-0.116e-30 relative error 0.341853738202170868664033305499393173e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.23e0+/-0.700e-31 y[1] (closed_form) 0.102633360499462516303226935192840171e1+/-0.166e-31 y[1] (numeric) 0.102633360499462516303226970649000841e1+/-0.1e-30 absolute error 0.3545616067e-24+/-0.116e-30 relative error 0.345464286635978185883177577957731547e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) ; Iterations 131 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 3 Minutes 1 Seconds Time to Timeout 0.0 Seconds Percent Done 0.0%