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/sing2postode.ode################# diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=16; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-2.0) x_end=c(-1.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) $glob_min_h=c(0.001) # 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) #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(arctan(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.2e1+/-0.50e-32 y[1] (closed_form) -0.11071487177940905030170654601785372e1+/-0.234e-32 y[1] (numeric) -0.11071487177940905030170654601785372e1+/-0.344e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.578e-32 relative error 0.0e0+/-0.522061752599615504293810731606534067e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.199e1+/-0.100e-31 y[1] (closed_form) -0.11051406883644943008915050378616926e1+/-0.336e-32 y[1] (numeric) -0.11051406883644943008915050673685752e1+/-0.235e-31 absolute error 0.295068826e-25+/-0.268e-31 relative error 0.266996617812230305332975627033681828e-23+/-0.242e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.198e1+/-0.150e-31 y[1] (closed_form) -0.11031164815829970696814015123260034e1+/-0.439e-32 y[1] (numeric) -0.11031164815829970696814015717287842e1+/-0.435e-31 absolute error 0.594027808e-25+/-0.478e-31 relative error 0.538499621678715811459955302431957598e-23+/-0.433e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.197e1+/-0.200e-31 y[1] (closed_form) -0.11010759179539863906574241535935467e1+/-0.544e-32 y[1] (numeric) -0.11010759179539863906574242432865702e1+/-0.635e-31 absolute error 0.896930235e-25+/-0.689e-31 relative error 0.814594362091463366970070605682788443e-23+/-0.625e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.196e1+/-0.250e-31 y[1] (closed_form) -0.10990188156141465914150865810102613e1+/-0.651e-32 y[1] (numeric) -0.10990188156141465914150867013932568e1+/-0.835e-31 absolute error 0.1203829955e-24+/-0.9e-31 relative error 0.109536792081879282938728208205931829e-22+/-0.818e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.195e1+/-0.300e-31 y[1] (closed_form) -0.10969449903001362679863900213251227e1+/-0.759e-32 y[1] (numeric) -0.10969449903001362679863901728032582e1+/-0.1e-30 absolute error 0.1514781355e-24+/-0.107e-30 relative error 0.138090913254049237831969441105200929e-22+/-0.975e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.194e1+/-0.350e-31 y[1] (closed_form) -0.10948542553159380994455447450489906e1+/-0.869e-32 y[1] (numeric) -0.10948542553159380994455449280329271e1+/-0.1e-30 absolute error 0.1829839365e-24+/-0.108e-30 relative error 0.167130862954171916516472891500855095e-22+/-0.986e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.193e1+/-0.400e-31 y[1] (closed_form) -0.10927464214998853136517488147423823e1+/-0.976e-32 y[1] (numeric) -0.10927464214998853136517490296483271e1+/-0.1e-30 absolute error 0.2149059448e-24+/-0.109e-30 relative error 0.196665887502997926671740006464874621e-22+/-0.997e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.192e1+/-0.450e-31 y[1] (closed_form) -0.10906212971913697055492876549512979e1+/-0.109e-31 y[1] (numeric) -0.10906212971913697055492879022010564e1+/-0.1e-30 absolute error 0.2472497585e-24+/-0.11e-30 relative error 0.22670541932083272958325923103793565e-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] -0.191e1+/-0.500e-31 y[1] (closed_form) -0.10884786881972366827187816331298393e1+/-0.12e-31 y[1] (numeric) -0.10884786881972366827187819131508666e1+/-0.1e-30 absolute error 0.2800210273e-24+/-0.112e-30 relative error 0.257259081263021543158041289059461555e-22+/-0.102e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.19e1+/-0.550e-31 y[1] (closed_form) -0.10863183977578734180639795819256778e1+/-0.132e-31 y[1] (numeric) -0.10863183977578734180639798951511286e1+/-0.1e-30 absolute error 0.3132254508e-24+/-0.113e-30 relative error 0.288336689727880294199489848718417125e-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] -0.189e1+/-0.600e-31 y[1] (closed_form) -0.10841402265129968281046114745510166e1+/-0.144e-31 y[1] (numeric) -0.10841402265129968281046118214197941e1+/-0.1e-30 absolute error 0.3468687775e-24+/-0.114e-30 relative error 0.319948258552918557792503357036085456e-22+/-0.105e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.188e1+/-0.650e-31 y[1] (closed_form) -0.10819439724671487688656673050120701e1+/-0.156e-31 y[1] (numeric) -0.10819439724671487688656676859688734e1+/-0.1e-30 absolute error 0.3809568033e-24+/-0.115e-30 relative error 0.352104002604965803784169066992215771e-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] -0.187e1+/-0.700e-31 y[1] (closed_form) -0.1079729430954906551406774541380252e1+/-0.168e-31 y[1] (numeric) -0.10797294309549065514067749568756225e1+/-0.1e-30 absolute error 0.4154953705e-24+/-0.116e-30 relative error 0.384814341989861537587795643113119391e-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] -0.186e1+/-0.750e-31 y[1] (closed_form) -0.10774963946058176272852082847048821e1+/-0.181e-31 y[1] (numeric) -0.10774963946058176272852087351952478e1+/-0.1e-30 absolute error 0.4504903657e-24+/-0.118e-30 relative error 0.418089905409663733420179176374217969e-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] -0.185e1+/-0.800e-31 y[1] (closed_form) -0.10752446533090680824208620873218433e1+/-0.194e-31 y[1] (numeric) -0.10752446533090680824208625732695612e1+/-0.1e-30 absolute error 0.4859477179e-24+/-0.119e-30 relative error 0.451941533868124519528334410160542055e-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] -0.184e1+/-0.850e-31 y[1] (closed_form) -0.10729739941778954077267574770420994e1+/-0.206e-31 y[1] (numeric) -0.10729739941778954077267579989154968e1+/-0.1e-30 absolute error 0.5218733974e-24+/-0.12e-30 relative error 0.486380285292800098226407436426610491e-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] -0.183e1+/-0.900e-31 y[1] (closed_form) -0.10706842015137568883489199960067313e1+/-0.22e-31 y[1] (numeric) -0.10706842015137568883489205542801445e1+/-0.1e-30 absolute error 0.5582734132e-24+/-0.122e-30 relative error 0.521417437943607238817588805651648232e-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] -0.182e1+/-0.950e-31 y[1] (closed_form) -0.10683750567702658723601171838497879e1+/-0.233e-31 y[1] (numeric) -0.10683750567702658723601177790035985e1+/-0.1e-30 absolute error 0.5951538106e-24+/-0.123e-30 relative error 0.557064494185375506769089439282380106e-22+/-0.115e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.181e1+/-0.1e-30 y[1] (closed_form) -0.10660463385169091462811645876063096e1+/-0.246e-31 y[1] (numeric) -0.1066046338516909146281165220126979e1+/-0.1e-30 absolute error 0.6325206694e-24+/-0.124e-30 relative error 0.593333185009543787651407361805654548e-22+/-0.116e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.18e1+/-0.1e-30 y[1] (closed_form) -0.10636978224025596609438911160525456e1+/-0.248e-31 y[1] (numeric) -0.10636978224025596609438917864326465e1+/-0.1e-30 absolute error 0.6703801009e-24+/-0.124e-30 relative error 0.63023547362898767073070315316193845e-22+/-0.116e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.179e1+/-0.1e-30 y[1] (closed_form) -0.10613292811187999191203089876129793e1+/-0.25e-31 y[1] (numeric) -0.10613292811187999191203096963512253e1+/-0.1e-30 absolute error 0.708738246e-24+/-0.125e-30 relative error 0.667783560303625851858559312949151561e-22+/-0.117e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.178e1+/-0.1e-30 y[1] (closed_form) -0.10589404843630724582599142959643898e1+/-0.252e-31 y[1] (numeric) -0.10589404843630724582599150435656608e1+/-0.1e-30 absolute error 0.747601271e-24+/-0.125e-30 relative error 0.705989885210276384966381398709931936e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.177e1+/-0.1e-30 y[1] (closed_form) -0.10565311988016750399178080699298646e1+/-0.254e-31 y[1] (numeric) -0.10565311988016750399178088569052302e1+/-0.1e-30 absolute error 0.7869753656e-24+/-0.125e-30 relative error 0.744867133590179710855665053487784028e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.176e1+/-0.1e-30 y[1] (closed_form) -0.10541011880326193944180816008677592e1+/-0.257e-31 y[1] (numeric) -0.10541011880326193944180824277344976e1+/-0.1e-30 absolute error 0.8268667384e-24+/-0.125e-30 relative error 0.784428238756915646211478403614222141e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.175e1+/-0.1e-30 y[1] (closed_form) -0.10516502125483736674598673120863e1+/-0.258e-31 y[1] (numeric) -0.10516502125483736674598681793679146e1+/-0.1e-30 absolute error 0.8672816146e-24+/-0.125e-30 relative error 0.82468638740479206144505132434935987e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.174e1+/-0.1e-30 y[1] (closed_form) -0.10491780296985100773017799064474971e1+/-0.261e-31 y[1] (numeric) -0.10491780296985100773017808146737284e1+/-0.1e-30 absolute error 0.9082262313e-24+/-0.126e-30 relative error 0.865655022876323731188222449167742244e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.173e1+/-0.1e-30 y[1] (closed_form) -0.10466843936522807195034831563044155e1+/-0.263e-31 y[1] (numeric) -0.10466843936522807195034841060112495e1+/-0.1e-30 absolute error 0.949706834e-24+/-0.126e-30 relative error 0.907347849800369089569750453426846142e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.172e1+/-0.1e-30 y[1] (closed_form) -0.10441690553611459536963532426420843e1+/-0.265e-31 y[1] (numeric) -0.10441690553611459536963542343717559e1+/-0.1e-30 absolute error 0.9917296716e-24+/-0.126e-30 relative error 0.949778837543687995920039065189899587e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.171e1+/-0.1e-30 y[1] (closed_form) -0.10416317625212813763213075488757116e1+/-0.267e-31 y[1] (numeric) -0.10416317625212813763213085831767045e1+/-0.1e-30 absolute error 0.10343009929e-23+/-0.126e-30 relative error 0.992962225341960419731012909641173881e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.17e1+/-0.1e-30 y[1] (closed_form) -0.1039072259536091027621250337907279e1+/-0.27e-31 y[1] (numeric) -0.10390722595360910276212514153343193e1+/-0.1e-30 absolute error 0.10774270403e-23+/-0.127e-30 relative error 0.103691252500671418552018638180995233e-21+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.169e1+/-0.1e-30 y[1] (closed_form) -0.10364902874787562034069203915874634e1+/-0.272e-31 y[1] (numeric) -0.10364902874787562034069215127015092e1+/-0.1e-30 absolute error 0.11211140458e-23+/-0.127e-30 relative error 0.108164452609304188612412691886907931e-21+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.168e1+/-0.1e-30 y[1] (closed_form) -0.10338855840548510453153283821921317e1+/-0.274e-31 y[1] (numeric) -0.10338855840548510453153295475603564e1+/-0.1e-30 absolute error 0.11653682247e-23+/-0.127e-30 relative error 0.112717329912801392372572351743410072e-21+/-0.122e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.167e1+/-0.1e-30 y[1] (closed_form) -0.10312578835650579706249352917186184e1+/-0.276e-31 y[1] (numeric) -0.10312578835650579706249365019143892e1+/-0.1e-30 absolute error 0.12101957708e-23+/-0.127e-30 relative error 0.11735142005570457756526961797309756e-21+/-0.123e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.166e1+/-0.1e-30 y[1] (closed_form) -0.10286069168680179774447181617342078e1+/-0.279e-31 y[1] (numeric) -0.10286069168680179774447194173370568e1+/-0.1e-30 absolute error 0.1255602849e-23+/-0.127e-30 relative error 0.122068287545951647027641385568683414e-21+/-0.123e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.165e1+/-0.1e-30 y[1] (closed_form) -0.10259324113433529266059959014386951e1+/-0.281e-31 y[1] (numeric) -0.10259324113433529266059972030342845e1+/-0.1e-30 absolute error 0.13015955894e-23+/-0.128e-30 relative error 0.126869526199654274186131187423150774e-21+/-0.124e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.164e1+/-0.1e-30 y[1] (closed_form) -0.10232340908548990612931326677264716e1+/-0.284e-31 y[1] (numeric) -0.1023234090854899061293134015906552e1+/-0.1e-30 absolute error 0.13481800804e-23+/-0.128e-30 relative error 0.131756759518597811736829163208243201e-21+/-0.125e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.163e1+/-0.1e-30 y[1] (closed_form) -0.10205116757141932828732945232312332e1+/-0.286e-31 y[1] (numeric) -0.10205116757141932828732959185935951e1+/-0.1e-30 absolute error 0.13953623619e-23+/-0.128e-30 relative error 0.136731641107728807085541725301510132e-21+/-0.125e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.162e1+/-0.1e-30 y[1] (closed_form) -0.10177648826442560601300495730236234e1+/-0.288e-31 y[1] (numeric) -0.10177648826442560601300510161720399e1+/-0.1e-30 absolute error 0.14431484165e-23+/-0.128e-30 relative error 0.141795854927766274766656003393209173e-21+/-0.125e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.161e1+/-0.1e-30 y[1] (closed_form) -0.10149934247437173128543717568225749e1+/-0.291e-31 y[1] (numeric) -0.1014993424743717312854373248366737e1+/-0.1e-30 absolute error 0.14915441621e-23+/-0.129e-30 relative error 0.146951115715514144157751687175576317e-21+/-0.127e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.16e1+/-0.1e-30 y[1] (closed_form) -0.10121970114513341832598134752380904e1+/-0.293e-31 y[1] (numeric) -0.10121970114513341832598150157935333e1+/-0.1e-30 absolute error 0.15405554429e-23+/-0.129e-30 relative error 0.152199169279415420285659139798561485e-21+/-0.127e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.159e1+/-0.1e-30 y[1] (closed_form) -0.10093753485109522937993946924935482e1+/-0.296e-31 y[1] (numeric) -0.10093753485109522937993962826815694e1+/-0.1e-30 absolute error 0.15901880212e-23+/-0.129e-30 relative error 0.157541792906461650126583250234000547e-21+/-0.127e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.158e1+/-0.1e-30 y[1] (closed_form) -0.10065281379369648915716009811644584e1+/-0.298e-31 y[1] (numeric) -0.10065281379369648915716026216120254e1+/-0.1e-30 absolute error 0.1640447567e-23+/-0.129e-30 relative error 0.162980795585342604819924872512229783e-21+/-0.128e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.157e1+/-0.1e-30 y[1] (closed_form) -0.10036550779803272015763282638849266e1+/-0.301e-31 y[1] (numeric) -0.10036550779803272015763299552245744e1+/-0.1e-30 absolute error 0.16913396478e-23+/-0.13e-30 relative error 0.168518018282088760581571192506073124e-21+/-0.129e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.156e1+/-0.1e-30 y[1] (closed_form) -0.10007558630951863576401204729863656e1+/-0.304e-31 y[1] (numeric) -0.10007558630951863576401222158560851e1+/-0.1e-30 absolute error 0.17428697195e-23+/-0.13e-30 relative error 0.174155334359927490186166593981223686e-21+/-0.129e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.155e1+/-0.1e-30 y[1] (closed_form) -0.99783018390619045494496187944270493e0+/-0.306e-31 y[1] (numeric) -0.99783018390619045494496367448581864e0+/-0.1e-30 absolute error 0.179504311371e-23+/-0.13e-30 relative error 0.179894649677059513810057697497935273e-21+/-0.13e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.154e1+/-0.1e-30 y[1] (closed_form) -0.99487772717654357587939463874932053e0+/-0.309e-31 y[1] (numeric) -0.99487772717654357587939648661434699e0+/-0.1e-30 absolute error 0.184786502646e-23+/-0.13e-30 relative error 0.185737902858095813469841738060690776e-21+/-0.13e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.153e1+/-0.1e-30 y[1] (closed_form) -0.99189817577687708553074235968740694e0+/-0.312e-31 y[1] (numeric) -0.99189817577687708553074426102791323e0+/-0.1e-30 absolute error 0.190134050629e-23+/-0.131e-30 relative error 0.19168706553985010728491445387464668e-21+/-0.132e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.152e1+/-0.1e-30 y[1] (closed_form) -0.98889120865501107872106899019150327e0+/-0.315e-31 y[1] (numeric) -0.98889120865501107872107094566594436e0+/-0.1e-30 absolute error 0.195547444109e-23+/-0.131e-30 relative error 0.197744142528037721103833696847002086e-21+/-0.132e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.151e1+/-0.1e-30 y[1] (closed_form) -0.98585650080668359123639033173802103e0+/-0.317e-31 y[1] (numeric) -0.98585650080668359123639234200956587e0+/-0.1e-30 absolute error 0.201027154484e-23+/-0.131e-30 relative error 0.203911171980413177266284785777215341e-21+/-0.132e-28% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 Finished! diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; Iterations 500 Total Elapsed Time 1 Minutes 45 Seconds Elapsed Time(since restart) 1 Minutes 45 Seconds Time to Timeout 1 Minutes 15 Seconds Percent Done 0.1002e3+/-0.23e-28%