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/sing4_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.0) x_end=c(-2.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.1) # 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=2 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # 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(1.0) / (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] -0.1001e1+/-0.55e-32 y[1] (closed_form) 0.499500249999875124937500031218765624e0+/-0.311e-32 y[1] (numeric) 0.499500249999875124937500031218765627e0+/-0.46e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.3e-35+/-0.771e-32 relative error 0.600600300000000000000000000000000001e-33+/-0.154e-29% Desired digits 8 Estimated correct digits 13 Correct digits 34 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1002e1+/-0.60e-32 y[1] (closed_form) 0.499000999998003996000007984015999968e0+/-0.336e-32 y[1] (numeric) 0.499000999998003996000007984065875097e0+/-0.533e-32 absolute error 0.49875129e-28+/-0.869e-32 relative error 0.99949958016516e-26+/-0.174e-29% Desired digits 8 Estimated correct digits 13 Correct digits 27 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1003e1+/-0.65e-32 y[1] (closed_form) 0.498502249989905329437704417078886485e0+/-0.36e-32 y[1] (numeric) 0.498502249989905329437704417228262616e0+/-0.63e-32 absolute error 0.149376131e-27+/-0.99e-32 relative error 0.299649863171179e-25+/-0.198e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1004e1+/-0.70e-32 y[1] (closed_form) 0.498003999968127744002039824383869451e0+/-0.384e-32 y[1] (numeric) 0.498003999968127744002039824682123959e0+/-0.703e-32 absolute error 0.298254508e-27+/-0.108e-31 relative error 0.598899824136128e-25+/-0.216e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1005e1+/-0.75e-32 y[1] (closed_form) 0.497506249922264648449646148679742789e0+/-0.408e-32 y[1] (numeric) 0.497506249922264648449646149176005299e0+/-0.8e-32 absolute error 0.49626251e-27+/-0.12e-31 relative error 0.99750005166275e-25+/-0.241e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1006e1+/-0.80e-32 y[1] (closed_form) 0.497008999838969084052174016767095618e0+/-0.432e-32 y[1] (numeric) 0.497008999838969084052174017510248755e0+/-0.85e-32 absolute error 0.743153137e-27+/-0.128e-31 relative error 0.1495250865156932e-24+/-0.257e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1007e1+/-0.85e-32 y[1] (closed_form) 0.496512249701968522116393394599634864e0+/-0.458e-32 y[1] (numeric) 0.496512249701968522116393395638315002e0+/-0.9e-32 absolute error 0.1038680138e-26+/-0.135e-31 relative error 0.2091952693258762e-24+/-0.271e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1008e1+/-0.90e-32 y[1] (closed_form) 0.496015999492079616520110472683406875e0+/-0.482e-32 y[1] (numeric) 0.496015999492079616520110474066004887e0+/-0.95e-32 absolute error 0.1382598012e-26+/-0.143e-31 relative error 0.2787406078464768e-24+/-0.288e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1009e1+/-0.95e-32 y[1] (closed_form) 0.495520249187222911270657619788303839e0+/-0.506e-32 y[1] (numeric) 0.495520249187222911270657621562965847e0+/-0.1e-31 absolute error 0.1774662008e-26+/-0.15e-31 relative error 0.3581411679766648e-24+/-0.302e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.101e1+/-0.100e-31 y[1] (closed_form) 0.495024998762437503093906242265234394e0+/-0.532e-32 y[1] (numeric) 0.495024998762437503093906244479862519e0+/-0.104e-31 absolute error 0.2214628125e-26+/-0.157e-31 relative error 0.44737702753125e-24+/-0.317e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1011e1+/-0.105e-31 y[1] (closed_form) 0.494530248189895659062934413914894311e0+/-0.555e-32 y[1] (numeric) 0.494530248189895659062934416617147421e0+/-0.11e-31 absolute error 0.270225311e-26+/-0.165e-31 relative error 0.546428276104631e-24+/-0.333e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1012e1+/-0.110e-31 y[1] (closed_form) 0.494035997438917389276652253989834715e0+/-0.578e-32 y[1] (numeric) 0.494035997438917389276652257227129174e0+/-0.114e-31 absolute error 0.3237294459e-26+/-0.171e-31 relative error 0.6552750155418096e-24+/-0.346e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1013e1+/-0.115e-31 y[1] (closed_form) 0.493542246475984974599848285113433282e0+/-0.601e-32 y[1] (numeric) 0.4935422464759849745998482889329437e0+/-0.12e-31 absolute error 0.3819510418e-26+/-0.18e-31 relative error 0.7738973604128642e-24+/-0.364e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1014e1+/-0.120e-31 y[1] (closed_form) 0.493048995264757449477269455220304152e0+/-0.627e-32 y[1] (numeric) 0.493048995264757449477269459668964133e0+/-0.124e-31 absolute error 0.4448659981e-26+/-0.186e-31 relative error 0.9022754378824276e-24+/-0.377e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1015e1+/-0.125e-31 y[1] (closed_form) 0.492556243766085039835486214582127596e0+/-0.65e-32 y[1] (numeric) 0.492556243766085039835486219706630487e0+/-0.128e-31 absolute error 0.5124502891e-26+/-0.193e-31 relative error 0.10403893881880475e-23+/-0.391e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1016e1+/-0.130e-31 y[1] (closed_form) 0.492063991938023556087422057063677017e0+/-0.675e-32 y[1] (numeric) 0.492063991938023556087422062910476654e0+/-0.132e-31 absolute error 0.5846799637e-26+/-0.199e-31 relative error 0.11882193643091072e-23+/-0.404e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1017e1+/-0.135e-31 y[1] (closed_form) 0.491572239735848741255544320398920703e0+/-0.698e-32 y[1] (numeric) 0.491572239735848741255544327014232164e0+/-0.136e-31 absolute error 0.6615311461e-26+/-0.205e-31 relative error 0.13457455336686229e-23+/-0.417e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1018e1+/-0.140e-31 y[1] (closed_form) 0.491080987112070574230819849886363859e0+/-0.723e-32 y[1] (numeric) 0.491080987112070574230819857316164204e0+/-0.14e-31 absolute error 0.7429800345e-26+/-0.212e-31 relative error 0.1512948075773178e-23+/-0.431e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1019e1+/-0.145e-31 y[1] (closed_form) 0.490590234016447528185635419829951613e0+/-0.746e-32 y[1] (numeric) 0.490590234016447528185635428119980638e0+/-0.144e-31 absolute error 0.8290029025e-26+/-0.218e-31 relative error 0.16898071853428025e-23+/-0.444e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.102e1+/-0.150e-31 y[1] (closed_form) 0.490099980396000784159968633601254655e0+/-0.771e-32 y[1] (numeric) 0.490099980396000784159968642797015637e0+/-0.148e-31 absolute error 0.9195760982e-26+/-0.225e-31 relative error 0.187630307076728e-23+/-0.459e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1021e1+/-0.155e-31 y[1] (closed_form) 0.489610226195028399841170442622332787e0+/-0.793e-32 y[1] (numeric) 0.489610226195028399841170452769093227e0+/-0.152e-31 absolute error 0.1014676044e-25+/-0.231e-31 relative error 0.2072415953983404e-23+/-0.471e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1022e1+/-0.160e-31 y[1] (closed_form) 0.489120971355119433558785493063286384e0+/-0.818e-32 y[1] (numeric) 0.489120971355119433558785504206078759e0+/-0.156e-31 absolute error 0.11142792375e-25+/-0.237e-31 relative error 0.227812607260095e-23+/-0.484e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1023e1+/-0.165e-31 y[1] (closed_form) 0.488632215815168023516891282752406635e0+/-0.84e-32 y[1] (numeric) 0.48863221581516802351689129493602914e0+/-0.16e-31 absolute error 0.12183622505e-25+/-0.244e-31 relative error 0.24934136781535145e-23+/-0.499e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1024e1+/-0.170e-31 y[1] (closed_form) 0.488143959511387422287481645787122371e0+/-0.865e-32 y[1] (numeric) 0.488143959511387422287481659056139665e0+/-0.164e-31 absolute error 0.13269017294e-25+/-0.25e-31 relative error 0.27182590372073344e-23+/-0.512e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1025e1+/-0.175e-31 y[1] (closed_form) 0.487656202377323986589454434623590368e0+/-0.887e-32 y[1] (numeric) 0.48765620237732398658945444902233432e0+/-0.17e-31 absolute error 0.14398743952e-25+/-0.258e-31 relative error 0.2952642431657e-23+/-0.529e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1026e1+/-0.180e-31 y[1] (closed_form) 0.487168944343871122378787494957801426e0+/-0.911e-32 y[1] (numeric) 0.487168944343871122378787510530371858e0+/-0.174e-31 absolute error 0.15572570432e-25+/-0.265e-31 relative error 0.31965441584076032e-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] -0.1027e1+/-0.185e-31 y[1] (closed_form) 0.486682185339283185276501183367733652e0+/-0.933e-32 y[1] (numeric) 0.486682185339283185276501200157999087e0+/-0.178e-31 absolute error 0.16790265435e-25+/-0.271e-31 relative error 0.34499445306992115e-23+/-0.556e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1028e1+/-0.190e-31 y[1] (closed_form) 0.486195925289189336362009817268123439e0+/-0.958e-32 y[1] (numeric) 0.48619592528918933636200983531972184e0+/-0.184e-31 absolute error 0.18051598401e-25+/-0.279e-31 relative error 0.37128238765602384e-23+/-0.573e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1029e1+/-0.195e-31 y[1] (closed_form) 0.485710164116607353360458626965365465e0+/-0.982e-32 y[1] (numeric) 0.48571016411660735336045864632170498e0+/-0.194e-31 absolute error 0.19356339515e-25+/-0.292e-31 relative error 0.39851625403402115e-23+/-0.601e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.103e1+/-0.200e-31 y[1] (closed_form) 0.485224901741957397253627056140521131e0+/-0.1e-31 y[1] (numeric) 0.485224901741957397253627076844780837e0+/-0.202e-31 absolute error 0.20704259706e-25+/-0.302e-31 relative error 0.426694088280954e-23+/-0.622e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1031e1+/-0.205e-31 y[1] (closed_form) 0.484740138083075734344953685503506852e0+/-0.102e-31 y[1] (numeric) 0.484740138083075734344953707598637495e0+/-0.206e-31 absolute error 0.22095130643e-25+/-0.308e-31 relative error 0.45581392806413923e-23+/-0.635e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1032e1+/-0.210e-31 y[1] (closed_form) 0.484255873055228413810202690138225996e0+/-0.105e-31 y[1] (numeric) 0.484255873055228413810202713666950734e0+/-0.21e-31 absolute error 0.23528724738e-25+/-0.315e-31 relative error 0.48587381273363712e-23+/-0.65e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1033e1+/-0.215e-31 y[1] (closed_form) 0.48377210657112490076624663959800473e0+/-0.107e-31 y[1] (numeric) 0.483772106571124900766246664602819873e0+/-0.214e-31 absolute error 0.25004815143e-25+/-0.321e-31 relative error 0.51687178329128727e-23+/-0.663e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1034e1+/-0.220e-31 y[1] (closed_form) 0.483288838540931664891385666426311017e0+/-0.109e-31 y[1] (numeric) 0.48328883854093166489138569294948677e0+/-0.218e-31 absolute error 0.26523175753e-25+/-0.327e-31 relative error 0.54880588248374468e-23+/-0.676e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1035e1+/-0.225e-31 y[1] (closed_form) 0.482806068872285724631558618691836956e0+/-0.111e-31 y[1] (numeric) 0.482806068872285724631558646775418155e0+/-0.222e-31 absolute error 0.28083581199e-25+/-0.333e-31 relative error 0.58167415468898775e-23+/-0.689e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1036e1+/-0.230e-31 y[1] (closed_form) 0.482323797470308147027727830468973074e0+/-0.114e-31 y[1] (numeric) 0.48232379747030814702772786015477993e0+/-0.226e-31 absolute error 0.29685806856e-25+/-0.340e-31 relative error 0.61547464611317376e-23+/-0.704e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1037e1+/-0.235e-31 y[1] (closed_form) 0.481842024237617503200635645998374265e0+/-0.116e-31 y[1] (numeric) 0.481842024237617503200635677328003097e0+/-0.23e-31 absolute error 0.31329628832e-25+/-0.346e-31 relative error 0.65020540459439008e-23+/-0.718e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1038e1+/-0.240e-31 y[1] (closed_form) 0.481360749074343279530037873463737169e0+/-0.118e-31 y[1] (numeric) 0.481360749074343279530037906478561149e0+/-0.234e-31 absolute error 0.3301482398e-25+/-0.352e-31 relative error 0.6858644798830712e-23+/-0.731e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1039e1+/-0.245e-31 y[1] (closed_form) 0.48087997187813924456641697775593514e0+/-0.121e-31 y[1] (numeric) 0.480879971878139244566417012497105025e0+/-0.238e-31 absolute error 0.34741169885e-25+/-0.359e-31 relative error 0.722449923404250850000000000000000001e-23+/-0.746e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.104e1+/-0.250e-31 y[1] (closed_form) 0.480399692544196771714066102997694081e0+/-0.123e-31 y[1] (numeric) 0.480399692544196771714066139506138951e0+/-0.242e-31 absolute error 0.3650844487e-25+/-0.365e-31 relative error 0.75995978841392e-23+/-0.759e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1041e1+/-0.255e-31 y[1] (closed_form) 0.479919910965258117725313999599746794e0+/-0.125e-31 y[1] (numeric) 0.47991991096525811772531403791617479e0+/-0.246e-31 absolute error 0.38316427996e-25+/-0.371e-31 relative error 0.79839213003133276e-23+/-0.773e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1042e1+/-0.260e-31 y[1] (closed_form) 0.479440627031629657046530671734673721e0+/-0.127e-31 y[1] (numeric) 0.47944062703162965704653071189957278e0+/-0.25e-31 absolute error 0.40164899059e-25+/-0.377e-31 relative error 0.83774500520896076e-23+/-0.786e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1043e1+/-0.265e-31 y[1] (closed_form) 0.478961840631195072057414113760142615e0+/-0.13e-31 y[1] (numeric) 0.478961840631195072057414155813781203e0+/-0.254e-31 absolute error 0.42053638588e-25+/-0.384e-31 relative error 0.878016472723172120000000000000000001e-23+/-0.801e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1044e1+/-0.270e-31 y[1] (closed_form) 0.478483551649428499245909922600500685e0+/-0.132e-31 y[1] (numeric) 0.478483551649428499245909966582928531e0+/-0.258e-31 absolute error 0.43982427846e-25+/-0.390e-31 relative error 0.91920459322757856e-23+/-0.815e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1045e1+/-0.275e-31 y[1] (closed_form) 0.478005759969407631361957911592834693e0+/-0.134e-31 y[1] (numeric) 0.478005759969407631361957957543883526e0+/-0.262e-31 absolute error 0.45951048833e-25+/-0.396e-31 relative error 0.961307429348568250000000000000000001e-23+/-0.828e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1046e1+/-0.280e-31 y[1] (closed_form) 0.477528465471826775594093163893499691e0+/-0.136e-31 y[1] (numeric) 0.477528465471826775594093211852783968e0+/-0.266e-31 absolute error 0.47959284277e-25+/-0.402e-31 relative error 0.100432304553014132e-22+/-0.841e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1047e1+/-0.285e-31 y[1] (closed_form) 0.477051668035009867813753304179115727e0+/-0.139e-31 y[1] (numeric) 0.477051668035009867813753354186033368e0+/-0.27e-31 absolute error 0.50006917641e-25+/-0.409e-31 relative error 0.104824950821322969e-22+/-0.857e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1048e1+/-0.290e-31 y[1] (closed_form) 0.476575367534923442932959189898127249e0+/-0.141e-31 y[1] (numeric) 0.476575367534923442932959241991860366e0+/-0.274e-31 absolute error 0.52093733117e-25+/-0.415e-31 relative error 0.109308488574333568e-22+/-0.87e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1049e1+/-0.295e-31 y[1] (closed_form) 0.476099563845189561421842781449827913e0+/-0.143e-31 y[1] (numeric) 0.476099563845189561421842835669343542e0+/-0.278e-31 absolute error 0.54219515629e-25+/-0.421e-31 relative error 0.113882724846667229e-22+/-0.884e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.105e1+/-0.300e-31 y[1] (closed_form) 0.475624256837098692033293697978596908e0+/-0.146e-31 y[1] (numeric) 0.475624256837098692033293754362647737e0+/-0.282e-31 absolute error 0.56384050829e-25+/-0.428e-31 relative error 0.1185474668679725e-22+/-0.899e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1051e1+/-0.305e-31 y[1] (closed_form) 0.475149446379622550782784955438109171e0+/-0.148e-31 y[1] (numeric) 0.47514944637962255078278501402523427e0+/-0.286e-31 absolute error 0.58587125099e-25+/-0.434e-31 relative error 0.123302522070480499e-22+/-0.913e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1052e1+/-0.310e-31 y[1] (closed_form) 0.474675132339426896232218669542565068e0+/-0.15e-31 y[1] (numeric) 0.474675132339426896232218730371090616e0+/-0.29e-31 absolute error 0.60828525548e-25+/-0.44e-31 relative error 0.128147698086073792e-22+/-0.926e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1053e1+/-0.315e-31 y[1] (closed_form) 0.47420131458088428112740414138976076e0+/-0.152e-31 y[1] (numeric) 0.474201314580884281127404204497800772e0+/-0.294e-31 absolute error 0.63108040012e-25+/-0.446e-31 relative error 0.133082802749665708e-22+/-0.94e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1054e1+/-0.320e-31 y[1] (closed_form) 0.473727992966086760439543780993653939e0+/-0.154e-31 y[1] (numeric) 0.473727992966086760439543846419110992e0+/-0.298e-31 absolute error 0.65425457053e-25+/-0.452e-31 relative error 0.138107644100490548e-22+/-0.954e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1055e1+/-0.325e-31 y[1] (closed_form) 0.473255167354858555861856816649116787e0+/-0.156e-31 y[1] (numeric) 0.473255167354858555861856884429682746e0+/-0.302e-31 absolute error 0.67780565959e-25+/-0.458e-31 relative error 0.143222030385515975e-22+/-0.967e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1056e1+/-0.330e-31 y[1] (closed_form) 0.472782837604768676813216738781808829e0+/-0.159e-31 y[1] (numeric) 0.472782837604768676813216808954965571e0+/-0.306e-31 absolute error 0.70173156742e-25+/-0.465e-31 relative error 0.148425770058646912e-22+/-0.983e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1057e1+/-0.335e-31 y[1] (closed_form) 0.472311003571143498001415988388706288e0+/-0.161e-31 y[1] (numeric) 0.472311003571143498001416060991726427e0+/-0.31e-31 absolute error 0.72603020139e-25+/-0.471e-31 relative error 0.153718671786277611e-22+/-0.997e-29% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1058e1+/-0.340e-31 y[1] (closed_form) 0.471839665107079293599400574889447966e0+/-0.163e-31 y[1] (numeric) 0.471839665107079293599400649959395573e0+/-0.314e-31 absolute error 0.75069947607e-25+/-0.477e-31 relative error 0.159100544440161948e-22+/-0.101e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1059e1+/-0.345e-31 y[1] (closed_form) 0.471368822063454728088538148585822828e0+/-0.165e-31 y[1] (numeric) 0.471368822063454728088538226159554155e0+/-0.318e-31 absolute error 0.77573731327e-25+/-0.483e-31 relative error 0.164571197109335287e-22+/-0.102e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.106e1+/-0.350e-31 y[1] (closed_form) 0.470898474288943303823695611226219627e0+/-0.167e-31 y[1] (numeric) 0.470898474288943303823695691340383826e0+/-0.322e-31 absolute error 0.80114164199e-25+/-0.489e-31 relative error 0.1701304390929964e-22+/-0.103e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1061e1+/-0.355e-31 y[1] (closed_form) 0.470428621630025765375606676511169621e0+/-0.17e-31 y[1] (numeric) 0.470428621630025765375606759202209467e0+/-0.326e-31 absolute error 0.82691039846e-25+/-0.496e-31 relative error 0.175778079912478966e-22+/-0.105e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1062e1+/-0.360e-31 y[1] (closed_form) 0.46995926393100246070670594272888426e0+/-0.172e-31 y[1] (numeric) 0.469959263931002460706706028033036865e0+/-0.33e-31 absolute error 0.85304152605e-25+/-0.502e-31 relative error 0.18151392929563362e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1063e1+/-0.365e-31 y[1] (closed_form) 0.469490401034005659237294063904216446e0+/-0.174e-31 y[1] (numeric) 0.469490401034005659237294151857513982e0+/-0.334e-31 absolute error 0.87953297536e-25+/-0.508e-31 relative error 0.187337797199456384e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1064e1+/-0.370e-31 y[1] (closed_form) 0.469022032779011826859578555562226091e0+/-0.176e-31 y[1] (numeric) 0.469022032779011826859578646200496504e0+/-0.338e-31 absolute error 0.90638270413e-25+/-0.514e-31 relative error 0.193249493794475648e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1065e1+/-0.375e-31 y[1] (closed_form) 0.46855415900385385795780669798170296e0+/-0.178e-31 y[1] (numeric) 0.468554159003853857957806791340570687e0+/-0.342e-31 absolute error 0.93358867727e-25+/-0.520e-31 relative error 0.199248829474656575e-22+/-0.11e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1066e1+/-0.380e-31 y[1] (closed_form) 0.468086779544233264493370955028094568e0+/-0.18e-31 y[1] (numeric) 0.468086779544233264493371051142981253e0+/-0.346e-31 absolute error 0.96114886685e-25+/-0.526e-31 relative error 0.20533561485881986e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1067e1+/-0.385e-31 y[1] (closed_form) 0.467619894233732322214423361541724086e0+/-0.182e-31 y[1] (numeric) 0.467619894233732322214423460447849292e0+/-0.35e-31 absolute error 0.98906125206e-25+/-0.532e-31 relative error 0.211509660785653734e-22+/-0.113e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1068e1+/-0.390e-31 y[1] (closed_form) 0.467153502903826174050183497895940622e0+/-0.185e-31 y[1] (numeric) 0.467153502903826174050183599628322547e0+/-0.354e-31 absolute error 0.101732381925e-24+/-0.539e-31 relative error 0.2177707783258212e-22+/-0.115e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1069e1+/-0.395e-31 y[1] (closed_form) 0.466687605383894890750765017657125549e0+/-0.187e-31 y[1] (numeric) 0.466687605383894890750765122250581734e0+/-0.358e-31 absolute error 0.104593456185e-24+/-0.545e-31 relative error 0.224118778768426785e-22+/-0.116e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.107e1+/-0.400e-31 y[1] (closed_form) 0.466222201501235488833978274045410042e0+/-0.189e-31 y[1] (numeric) 0.466222201501235488833978381534558086e0+/-0.362e-31 absolute error 0.107489148044e-24+/-0.551e-31 relative error 0.2305534736395756e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1071e1+/-0.405e-31 y[1] (closed_form) 0.465757291081073905901191453726314495e0+/-0.191e-31 y[1] (numeric) 0.465757291081073905901191564145572763e0+/-0.366e-31 absolute error 0.110419258268e-24+/-0.557e-31 relative error 0.237074674690984988e-22+/-0.119e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1072e1+/-0.410e-31 y[1] (closed_form) 0.465292873946576933384949822816473601e0+/-0.193e-31 y[1] (numeric) 0.465292873946576933384949936200061934e0+/-0.37e-31 absolute error 0.113383588333e-24+/-0.563e-31 relative error 0.243682193907870272e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1073e1+/-0.415e-31 y[1] (closed_form) 0.46482894991886410679166227015951535e0+/-0.195e-31 y[1] (numeric) 0.464828949918864106791662386541455772e0+/-0.374e-31 absolute error 0.116381940422e-24+/-0.569e-31 relative error 0.250375843506120838e-22+/-0.122e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1074e1+/-0.420e-31 y[1] (closed_form) 0.464365518817019553503266347059358915e0+/-0.197e-31 y[1] (numeric) 0.464365518817019553503266466473476339e0+/-0.378e-31 absolute error 0.119414117424e-24+/-0.575e-31 relative error 0.257155435933765824e-22+/-0.123e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1075e1+/-0.425e-31 y[1] (closed_form) 0.463902580458103798202377500724847781e0+/-0.199e-31 y[1] (numeric) 0.463902580458103798202377623204770717e0+/-0.382e-31 absolute error 0.122479922936e-24+/-0.581e-31 relative error 0.264020783878915e-22+/-0.125e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1076e1+/-0.430e-31 y[1] (closed_form) 0.463440134657165525986015230496585373e0+/-0.202e-31 y[1] (numeric) 0.46344013465716552598601535607574663e0+/-0.386e-31 absolute error 0.125579161257e-24+/-0.588e-31 relative error 0.270971700260484432e-22+/-0.126e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1077e1+/-0.435e-31 y[1] (closed_form) 0.462978181227253303233578511145505245e0+/-0.204e-31 y[1] (numeric) 0.462978181227253303233578639857142639e0+/-0.39e-31 absolute error 0.128711637394e-24+/-0.594e-31 relative error 0.278007998244785026e-22+/-0.128e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1078e1+/-0.440e-31 y[1] (closed_form) 0.462516719979427256295315075639984385e0+/-0.206e-31 y[1] (numeric) 0.462516719979427256295315207517141435e0+/-0.394e-31 absolute error 0.13187715705e-24+/-0.600e-31 relative error 0.2851294912232922e-22+/-0.129e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1079e1+/-0.445e-31 y[1] (closed_form) 0.462055750722770708068094080095516164e0+/-0.208e-31 y[1] (numeric) 0.462055750722770708068094215171042799e0+/-0.398e-31 absolute error 0.135075526635e-24+/-0.606e-31 relative error 0.292335992840059035e-22+/-0.131e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.108e1+/-0.450e-31 y[1] (closed_form) 0.461595273264401772525849335302806499e0+/-0.21e-31 y[1] (numeric) 0.461595273264401772525849473609359754e0+/-0.402e-31 absolute error 0.138306553255e-24+/-0.612e-31 relative error 0.299627316971632e-22+/-0.132e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1081e1+/-0.455e-31 y[1] (closed_form) 0.461135287409484907272610731263727421e0+/-0.212e-31 y[1] (numeric) 0.461135287409484907272610872833772139e0+/-0.406e-31 absolute error 0.141570044718e-24+/-0.618e-31 relative error 0.307003277743710798e-22+/-0.134e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1082e1+/-0.460e-31 y[1] (closed_form) 0.460675792961242424186584752368334251e0+/-0.214e-31 y[1] (numeric) 0.460675792961242424186584897234143781e0+/-0.41e-31 absolute error 0.14486580953e-24+/-0.624e-31 relative error 0.31446368952619972e-22+/-0.135e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1083e1+/-0.465e-31 y[1] (closed_form) 0.460216789720965958224281129869036108e0+/-0.214e-31 y[1] (numeric) 0.460216789720965958224281278062692998e0+/-0.414e-31 absolute error 0.14819365689e-24+/-0.628e-31 relative error 0.32200836692605521e-22+/-0.136e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1084e1+/-0.470e-31 y[1] (closed_form) 0.459758277488027894454211753628412325e0+/-0.215e-31 y[1] (numeric) 0.459758277488027894454211905181809023e0+/-0.418e-31 absolute error 0.151553396698e-24+/-0.633e-31 relative error 0.329637124808365088e-22+/-0.137e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1085e1+/-0.475e-31 y[1] (closed_form) 0.459300256059892753390210015042083385e0+/-0.219e-31 y[1] (numeric) 0.459300256059892753390210169986922929e0+/-0.422e-31 absolute error 0.154944839544e-24+/-0.641e-31 relative error 0.3373497782761854e-22+/-0.139e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1086e1+/-0.480e-31 y[1] (closed_form) 0.458842725232128534694933825702167022e0+/-0.221e-31 y[1] (numeric) 0.458842725232128534694933984069963735e0+/-0.426e-31 absolute error 0.158367796713e-24+/-0.647e-31 relative error 0.345146142685125348e-22+/-0.141e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1087e1+/-0.485e-31 y[1] (closed_form) 0.458385684798418019324623699731706858e0+/-0.222e-31 y[1] (numeric) 0.458385684798418019324623861553787041e0+/-0.43e-31 absolute error 0.161822080183e-24+/-0.652e-31 relative error 0.353026033642747127e-22+/-0.142e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1088e1+/-0.490e-31 y[1] (closed_form) 0.457929134550570030186688549573576389e0+/-0.224e-31 y[1] (numeric) 0.45792913455057003018668871488107901e0+/-0.434e-31 absolute error 0.165307502621e-24+/-0.658e-31 relative error 0.360989267003593024e-22+/-0.143e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1089e1+/-0.495e-31 y[1] (closed_form) 0.457473074278530651382186272971438583e0+/-0.226e-31 y[1] (numeric) 0.457473074278530651382186441795315967e0+/-0.438e-31 absolute error 0.168823877384e-24+/-0.664e-31 relative error 0.369035658875110664e-22+/-0.145e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.109e1+/-0.500e-31 y[1] (closed_form) 0.457017503770394406105753850372469265e0+/-0.229e-31 y[1] (numeric) 0.457017503770394406105754022743487783e0+/-0.442e-31 absolute error 0.172371018518e-24+/-0.671e-31 relative error 0.3771650256192358e-22+/-0.146e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1091e1+/-0.505e-31 y[1] (closed_form) 0.456562422812415393276022574272433537e0+/-0.231e-31 y[1] (numeric) 0.456562422812415393276022750221174293e0+/-0.446e-31 absolute error 0.175948740756e-24+/-0.677e-31 relative error 0.385377183851792436e-22+/-0.148e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1092e1+/-0.510e-31 y[1] (closed_form) 0.456107831189018382970028242196907224e0+/-0.233e-31 y[1] (numeric) 0.456107831189018382970028421753766742e0+/-0.45e-31 absolute error 0.179556859518e-24+/-0.683e-31 relative error 0.393671950446272352e-22+/-0.149e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1093e1+/-0.515e-31 y[1] (closed_form) 0.455653728682809870735593709973667771e0+/-0.234e-31 y[1] (numeric) 0.455653728682809870735593893168858679e0+/-0.454e-31 absolute error 0.183195190908e-24+/-0.688e-31 relative error 0.402049142531051292e-22+/-0.15e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1094e1+/-0.520e-31 y[1] (closed_form) 0.455200115074589090856122168427684178e0+/-0.236e-31 y[1] (numeric) 0.455200115074589090856122355291235891e0+/-0.458e-31 absolute error 0.186863551713e-24+/-0.694e-31 relative error 0.410508577490980068e-22+/-0.152e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1095e1+/-0.525e-31 y[1] (closed_form) 0.454746990143358988642693921169609258e0+/-0.238e-31 y[1] (numeric) 0.45474699014335898864269411173136866e0+/-0.464e-31 absolute error 0.190561759402e-24+/-0.702e-31 relative error 0.41905007296898305e-22+/-0.154e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1096e1+/-0.530e-31 y[1] (closed_form) 0.454294353666337151828807350119206838e0+/-0.241e-31 y[1] (numeric) 0.454294353666337151828807544408838963e0+/-0.472e-31 absolute error 0.194289632125e-24+/-0.713e-31 relative error 0.427673446867664e-22+/-0.156e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1097e1+/-0.535e-31 y[1] (closed_form) 0.453842205418966701143546204994170396e0+/-0.243e-31 y[1] (numeric) 0.45384220541896670114354640304115911e0+/-0.476e-31 absolute error 0.198046988714e-24+/-0.719e-31 relative error 0.436378517355326026e-22+/-0.158e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1098e1+/-0.540e-31 y[1] (closed_form) 0.453390545174927140139390389208579599e0+/-0.244e-31 y[1] (numeric) 0.453390545174927140139390591042228276e0+/-0.48e-31 absolute error 0.201833648677e-24+/-0.724e-31 relative error 0.445165102856585908e-22+/-0.159e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1099e1+/-0.545e-31 y[1] (closed_form) 0.45293937270614516435131608328830361e0+/-0.246e-31 y[1] (numeric) 0.45293937270614516435131628893773581e0+/-0.484e-31 absolute error 0.2056494322e-24+/-0.730e-31 relative error 0.4540330220605922e-22+/-0.161e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.550e-31 y[1] (closed_form) 0.452488687782805429864253393665158371e0+/-0.25e-31 y[1] (numeric) 0.452488687782805429864253603159318515e0+/-0.488e-31 absolute error 0.209494160144e-24+/-0.738e-31 relative error 0.46298209391824e-22+/-0.163e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1101e1+/-0.555e-31 y[1] (closed_form) 0.452038490173361281366385785016822612e0+/-0.251e-31 y[1] (numeric) 0.452038490173361281366385998384476659e0+/-0.492e-31 absolute error 0.213367654047e-24+/-0.743e-31 relative error 0.472012137650427447e-22+/-0.164e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1102e1+/-0.560e-31 y[1] (closed_form) 0.451588779644545439766185393451240153e0+/-0.253e-31 y[1] (numeric) 0.45158877964454543976618561072097627e0+/-0.496e-31 absolute error 0.217269736117e-24+/-0.749e-31 relative error 0.481122972736429268e-22+/-0.165e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1103e1+/-0.565e-31 y[1] (closed_form) 0.451139555961380649451481970884355337e0+/-0.254e-31 y[1] (numeric) 0.451139555961380649451482192084584574e0+/-0.5e-31 absolute error 0.221200229237e-24+/-0.754e-31 relative error 0.490314418928797333e-22+/-0.167e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1104e1+/-0.570e-31 y[1] (closed_form) 0.450690818887190285269260722835962964e0+/-0.256e-31 y[1] (numeric) 0.450690818887190285269260947994919923e0+/-0.504e-31 absolute error 0.225158956959e-24+/-0.760e-31 relative error 0.499586296243940544e-22+/-0.168e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1105e1+/-0.575e-31 y[1] (closed_form) 0.450242568183608919305275717292691437e0+/-0.259e-31 y[1] (numeric) 0.450242568183608919305275946438434942e0+/-0.508e-31 absolute error 0.229145743505e-24+/-0.767e-31 relative error 0.508938424968192625e-22+/-0.17e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1106e1+/-0.580e-31 y[1] (closed_form) 0.449794803610592847542950905796775511e0+/-0.261e-31 y[1] (numeric) 0.449794803610592847542951138957189274e0+/-0.512e-31 absolute error 0.233160413763e-24+/-0.773e-31 relative error 0.518370625652797068e-22+/-0.171e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1107e1+/-0.585e-31 y[1] (closed_form) 0.449347524926430576481420153865579485e0+/-0.262e-31 y[1] (numeric) 0.449347524926430576481420391068372777e0+/-0.516e-31 absolute error 0.237202793292e-24+/-0.778e-31 relative error 0.527882719128888108e-22+/-0.173e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1108e1+/-0.590e-31 y[1] (closed_form) 0.448900731887753269792931070394817171e0+/-0.264e-31 y[1] (numeric) 0.448900731887753269792931311667525483e0+/-0.52e-31 absolute error 0.241272708312e-24+/-0.784e-31 relative error 0.537474526489143168e-22+/-0.174e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1109e1+/-0.595e-31 y[1] (closed_form) 0.448454424249545155100204898826439617e0+/-0.265e-31 y[1] (numeric) 0.448454424249545155100205144196425325e0+/-0.524e-31 absolute error 0.245369985708e-24+/-0.789e-31 relative error 0.547145869100540748e-22+/-0.175e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.111e1+/-0.600e-31 y[1] (closed_form) 0.448008601765153890954706330361542941e0+/-0.269e-31 y[1] (numeric) 0.448008601765153890954706579855995971e0+/-0.528e-31 absolute error 0.24949445303e-24+/-0.797e-31 relative error 0.556896568608263e-22+/-0.177e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1111e1+/-0.605e-31 y[1] (closed_form) 0.447563264186300894097132864973296137e0+/-0.27e-31 y[1] (numeric) 0.447563264186300894097133118619234624e0+/-0.532e-31 absolute error 0.253645938487e-24+/-0.802e-31 relative error 0.566726446926212327000000000000000001e-22+/-0.179e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1112e1+/-0.610e-31 y[1] (closed_form) 0.447118411263091627081783322840954615e0+/-0.272e-31 y[1] (numeric) 0.447118411263091627081783580665225563e0+/-0.536e-31 absolute error 0.257824270948e-24+/-0.808e-31 relative error 0.576635326243123712e-22+/-0.18e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1113e1+/-0.615e-31 y[1] (closed_form) 0.446674042744025846346809340311573011e0+/-0.273e-31 y[1] (numeric) 0.446674042744025846346809602340852953e0+/-0.541e-31 absolute error 0.262029279942e-24+/-0.814e-31 relative error 0.586623029026471398000000000000000001e-22+/-0.182e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1114e1+/-0.620e-31 y[1] (closed_form) 0.446230158376007810812692213640720465e0+/-0.277e-31 y[1] (numeric) 0.446230158376007810812692479901516119e0+/-0.546e-31 absolute error 0.266260795654e-24+/-0.823e-31 relative error 0.596689378017431384e-22+/-0.184e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1115e1+/-0.625e-31 y[1] (closed_form) 0.445786757904356451091620323418292859e0+/-0.278e-31 y[1] (numeric) 0.445786757904356451091620593936941784e0+/-0.551e-31 absolute error 0.270518648925e-24+/-0.829e-31 relative error 0.606834196234783125e-22+/-0.185e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1116e1+/-0.630e-31 y[1] (closed_form) 0.445343841072815499390769625412388396e0+/-0.279e-31 y[1] (numeric) 0.445343841072815499390769900215059647e0+/-0.556e-31 absolute error 0.274802671251e-24+/-0.835e-31 relative error 0.617057306976585456000000000000000001e-22+/-0.187e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1117e1+/-0.635e-31 y[1] (closed_form) 0.444901407623563580192811372035899984e0+/-0.281e-31 y[1] (numeric) 0.444901407623563580192811651148594763e0+/-0.56e-31 absolute error 0.279112694779e-24+/-0.841e-31 relative error 0.627358533815115731e-22+/-0.189e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1118e1+/-0.640e-31 y[1] (closed_form) 0.44445945729722426179728737504022358e0+/-0.284e-31 y[1] (numeric) 0.444459457297224261797287658488775891e0+/-0.565e-31 absolute error 0.283448552311e-24+/-0.849e-31 relative error 0.637737700609774364000000000000000001e-22+/-0.191e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1119e1+/-0.645e-31 y[1] (closed_form) 0.444017989832876068806803776461807126e0+/-0.286e-31 y[1] (numeric) 0.444017989832876068806804064271884422e0+/-0.569e-31 absolute error 0.287810077296e-24+/-0.855e-31 relative error 0.648194631493036656e-22+/-0.192e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.112e1+/-0.650e-31 y[1] (closed_form) 0.443577004968062455642299503193754435e0+/-0.287e-31 y[1] (numeric) 0.443577004968062455642299795390858269e0+/-0.573e-31 absolute error 0.292197103834e-24+/-0.860e-31 relative error 0.658729150883369600000000000000000001e-22+/-0.193e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1121e1+/-0.655e-31 y[1] (closed_form) 0.443136502438801741171945382539801412e0+/-0.288e-31 y[1] (numeric) 0.443136502438801741171945679149268083e0+/-0.578e-31 absolute error 0.296609466671e-24+/-0.866e-31 relative error 0.669341083477912111000000000000000001e-22+/-0.195e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1122e1+/-0.660e-31 y[1] (closed_form) 0.44269648197959700453852433325482849e0+/-0.292e-31 y[1] (numeric) 0.442696481979597004538524634301829689e0+/-0.583e-31 absolute error 0.301047001199e-24+/-0.875e-31 relative error 0.680030254256401916e-22+/-0.197e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1123e1+/-0.665e-31 y[1] (closed_form) 0.442256943323445942270432160217307371e0+/-0.293e-31 y[1] (numeric) 0.442256943323445942270432465726850827e0+/-0.588e-31 absolute error 0.305509543456e-24+/-0.881e-31 relative error 0.690796488485121824000000000000000001e-22+/-0.199e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1124e1+/-0.670e-31 y[1] (closed_form) 0.441817886201850686761722312156707502e0+/-0.295e-31 y[1] (numeric) 0.441817886201850686761722622153637624e0+/-0.593e-31 absolute error 0.309996930122e-24+/-0.888e-31 relative error 0.701639611711811872e-22+/-0.2e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1125e1+/-0.675e-31 y[1] (closed_form) 0.441379310344827586206896551724137931e0+/-0.296e-31 y[1] (numeric) 0.44137931034482758620689686623313645e0+/-0.597e-31 absolute error 0.314508998519e-24+/-0.893e-31 relative error 0.712559449769609375e-22+/-0.202e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1126e1+/-0.680e-31 y[1] (closed_form) 0.44094121548091694607641687640770483e0+/-0.299e-31 y[1] (numeric) 0.44094121548091694607641719545329144e0+/-0.604e-31 absolute error 0.31904558661e-24+/-0.903e-31 relative error 0.72355582877874036e-22+/-0.204e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1127e1+/-0.685e-31 y[1] (closed_form) 0.440503601337192732219182257924549662e0+/-0.301e-31 y[1] (numeric) 0.440503601337192732219182581531082656e0+/-0.613e-31 absolute error 0.323606532994e-24+/-0.914e-31 relative error 0.734628575139136226e-22+/-0.207e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1128e1+/-0.690e-31 y[1] (closed_form) 0.440066467639272235678476877147524362e0+/-0.302e-31 y[1] (numeric) 0.440066467639272235678477205339201273e0+/-0.618e-31 absolute error 0.328191676911e-24+/-0.920e-31 relative error 0.745777515545725824e-22+/-0.209e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1129e1+/-0.695e-31 y[1] (closed_form) 0.439629814111325699308154561533006746e0+/-0.303e-31 y[1] (numeric) 0.439629814111325699308154894333864982e0+/-0.623e-31 absolute error 0.332800858236e-24+/-0.926e-31 relative error 0.757002476978793276000000000000000001e-22+/-0.21e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.113e1+/-0.700e-31 y[1] (closed_form) 0.4391936404760859062760771224032676e0+/-0.306e-31 y[1] (numeric) 0.439193640476085906276077459837185076e0+/-0.628e-31 absolute error 0.337433917476e-24+/-0.934e-31 relative error 0.768303286701104400000000000000000001e-22+/-0.212e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1131e1+/-0.705e-31 y[1] (closed_form) 0.43875794645485773054207228010658308e0+/-0.308e-31 y[1] (numeric) 0.438757946454857730542072622197278853e0+/-0.632e-31 absolute error 0.342090695773e-24+/-0.940e-31 relative error 0.779679772268686453e-22+/-0.214e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h -0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ; Iterations 132 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%