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/sing1_backpostode.ode################# diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.5) 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 $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(0.001) # 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(c(1.0) / (c(x) * c(x) + c(0.000001))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.1501e1+/-0.55e-32 y[1] (closed_form) 0.443852246913229548841945102578692784e0+/-0.347e-32 y[1] (numeric) 0.443852246913229548841945155253472836e0+/-0.414e-32 absolute error 0.52674780052e-25+/-0.761e-32 relative error 0.118676384806716104e-22+/-0.171e-29% Desired digits 8 Estimated correct digits 14 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1502e1+/-0.60e-32 y[1] (closed_form) 0.44326142894186847990141865820332845e0+/-0.375e-32 y[1] (numeric) 0.44326142894186847990141876337765673e0+/-0.51e-32 absolute error 0.10517432828e-24+/-0.885e-32 relative error 0.2372738104713214e-22+/-0.199e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1503e1+/-0.65e-32 y[1] (closed_form) 0.442671789854847920106595366997047379e0+/-0.404e-32 y[1] (numeric) 0.442671789854847920106595524496391123e0+/-0.584e-32 absolute error 0.157499343744e-24+/-0.988e-32 relative error 0.35579259251113344e-22+/-0.223e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1504e1+/-0.70e-32 y[1] (closed_form) 0.442083326517882049515985069961896838e0+/-0.432e-32 y[1] (numeric) 0.442083326517882049515985279612419093e0+/-0.68e-32 absolute error 0.209650522255e-24+/-0.111e-31 relative error 0.474233045399688335e-22+/-0.251e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1505e1+/-0.75e-32 y[1] (closed_form) 0.441496035807094488098591362748153884e0+/-0.46e-32 y[1] (numeric) 0.441496035807094488098591624376710273e0+/-0.754e-32 absolute error 0.261628556389e-24+/-0.121e-31 relative error 0.592595482563551114e-22+/-0.274e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1506e1+/-0.80e-32 y[1] (closed_form) 0.440909914608976837679455846619786185e0+/-0.488e-32 y[1] (numeric) 0.44090991460897683767945616005392169e0+/-0.85e-32 absolute error 0.313434135505e-24+/-0.133e-31 relative error 0.710880216388353685e-22+/-0.301e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1507e1+/-0.85e-32 y[1] (closed_form) 0.440324959820347416393298254111534312e0+/-0.518e-32 y[1] (numeric) 0.440324959820347416393298619179480074e0+/-0.924e-32 absolute error 0.365067945762e-24+/-0.144e-31 relative error 0.8290875582227901e-22+/-0.327e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1508e1+/-0.90e-32 y[1] (closed_form) 0.439741168348310184625329531038031014e0+/-0.546e-32 y[1] (numeric) 0.439741168348310184625329947568701151e0+/-0.101e-31 absolute error 0.416530670137e-24+/-0.155e-31 relative error 0.947217818385096905000000000000000002e-22+/-0.352e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1509e1+/-0.95e-32 y[1] (closed_form) 0.439158537110213861424401931946236455e0+/-0.573e-32 y[1] (numeric) 0.439158537110213861424402399769224893e0+/-0.106e-31 absolute error 0.467822988438e-24+/-0.163e-31 relative error 0.1065271306158377916e-21+/-0.371e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.151e1+/-0.100e-31 y[1] (closed_form) 0.438577063033611230379706863862609594e0+/-0.602e-32 y[1] (numeric) 0.438577063033611230379707382808186923e0+/-0.111e-31 absolute error 0.518945577329e-24+/-0.171e-31 relative error 0.1183248329813430229e-21+/-0.389e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1511e1+/-0.105e-31 y[1] (closed_form) 0.437996743056218633958237886543075665e0+/-0.63e-32 y[1] (numeric) 0.437996743056218633958238456442186e0+/-0.118e-31 absolute error 0.569899110335e-24+/-0.181e-31 relative error 0.130114919658626587e-21+/-0.413e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1512e1+/-0.110e-31 y[1] (closed_form) 0.437417574125875655306203237327466105e0+/-0.657e-32 y[1] (numeric) 0.437417574125875655306203858011723974e0+/-0.127e-31 absolute error 0.620684257869e-24+/-0.192e-31 relative error 0.1418974212705925005e-21+/-0.438e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1513e1+/-0.115e-31 y[1] (closed_form) 0.436839553200504986523499783764421165e0+/-0.684e-32 y[1] (numeric) 0.436839553200504986523500455066108408e0+/-0.132e-31 absolute error 0.671301687243e-24+/-0.2e-31 relative error 0.153672368338605831e-21+/-0.457e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1514e1+/-0.120e-31 y[1] (closed_form) 0.436262677248072482426248703754520226e0+/-0.712e-32 y[1] (numeric) 0.436262677248072482426249425506582913e0+/-0.137e-31 absolute error 0.721752062687e-24+/-0.208e-31 relative error 0.1654397912834953339e-21+/-0.476e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1515e1+/-0.125e-31 y[1] (closed_form) 0.435686943246547398818242735138064835e0+/-0.739e-32 y[1] (numeric) 0.435686943246547398818243507174110197e0+/-0.142e-31 absolute error 0.772036045362e-24+/-0.215e-31 relative error 0.1771997204252041812e-21+/-0.493e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1516e1+/-0.130e-31 y[1] (closed_form) 0.435112348183862814297965806261005622e0+/-0.767e-32 y[1] (numeric) 0.435112348183862814297966628415299002e0+/-0.147e-31 absolute error 0.82215429338e-24+/-0.223e-31 relative error 0.188952185984063866e-21+/-0.512e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1517e1+/-0.135e-31 y[1] (closed_form) 0.434538889057876234633618535690851652e0+/-0.794e-32 y[1] (numeric) 0.434538889057876234633619407798313468e0+/-0.152e-31 absolute error 0.872107461816e-24+/-0.231e-31 relative error 0.200697218080254264e-21+/-0.531e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1518e1+/-0.140e-31 y[1] (closed_form) 0.433966562876330378744317750317338049e0+/-0.822e-32 y[1] (numeric) 0.433966562876330378744318672213540777e0+/-0.157e-31 absolute error 0.921896202728e-24+/-0.239e-31 relative error 0.21243484673511986e-21+/-0.55e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1519e1+/-0.145e-31 y[1] (closed_form) 0.433395366656814145331335091762800982e0+/-0.848e-32 y[1] (numeric) 0.433395366656814145331336063283966153e0+/-0.162e-31 absolute error 0.971521165171e-24+/-0.246e-31 relative error 0.2241651018711288902e-21+/-0.567e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.152e1+/-0.150e-31 y[1] (closed_form) 0.432825297426723759208899234375331381e0+/-0.875e-32 y[1] (numeric) 0.432825297426723759208900255358326595e0+/-0.167e-31 absolute error 0.1020982995214e-23+/-0.254e-31 relative error 0.2358880133125420814e-21+/-0.586e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1521e1+/-0.155e-31 y[1] (closed_form) 0.432256352223224096389708494961187702e0+/-0.901e-32 y[1] (numeric) 0.432256352223224096389709565243523652e0+/-0.172e-31 absolute error 0.107028233595e-23+/-0.262e-31 relative error 0.24760361078448399e-21+/-0.606e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1522e1+/-0.160e-31 y[1] (closed_form) 0.431688528093210186985885943573992492e0+/-0.929e-32 y[1] (numeric) 0.431688528093210186985887062993820015e0+/-0.177e-31 absolute error 0.1119419827523e-23+/-0.269e-31 relative error 0.2593119239159616655e-21+/-0.623e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1523e1+/-0.165e-31 y[1] (closed_form) 0.431121822093268894991657792742495246e0+/-0.954e-32 y[1] (numeric) 0.431121822093268894991658961138602376e0+/-0.182e-31 absolute error 0.116839610713e-23+/-0.277e-31 relative error 0.27101298223712489e-21+/-0.642e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1524e1+/-0.170e-31 y[1] (closed_form) 0.43055623128964077401954811401301227e0+/-0.981e-32 y[1] (numeric) 0.430556231289640774019549331224821318e0+/-0.187e-31 absolute error 0.1217211809048e-23+/-0.285e-31 relative error 0.2827068151823276696e-21+/-0.661e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1525e1+/-0.175e-31 y[1] (closed_form) 0.429991752758182098067359068053074742e0+/-0.1e-31 y[1] (numeric) 0.429991752758182098067360333920639384e0+/-0.192e-31 absolute error 0.1265867564642e-23+/-0.292e-31 relative error 0.2943934520888115892e-21+/-0.679e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1526e1+/-0.180e-31 y[1] (closed_form) 0.429428383584327066398646098192235333e0+/-0.103e-31 y[1] (numeric) 0.429428383584327066398647412556237718e0+/-0.197e-31 absolute error 0.1314364002385e-23+/-0.300e-31 relative error 0.3060729221981894645e-21+/-0.698e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1527e1+/-0.185e-31 y[1] (closed_form) 0.428866120863050181624802185501751918e0+/-0.105e-31 y[1] (numeric) 0.428866120863050181624803548203499786e0+/-0.202e-31 absolute error 0.1362701747868e-23+/-0.307e-31 relative error 0.317745254655625164e-21+/-0.715e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1528e1+/-0.190e-31 y[1] (closed_form) 0.428304961698828800082234552646175129e0+/-0.108e-31 y[1] (numeric) 0.42830496169882880008223596352759895e0+/-0.207e-31 absolute error 0.1410881423821e-23+/-0.315e-31 relative error 0.3294104785115913485e-21+/-0.735e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1529e1+/-0.195e-31 y[1] (closed_form) 0.427744903205605853603451388074985392e0+/-0.111e-31 y[1] (numeric) 0.427744903205605853603452846978635513e0+/-0.212e-31 absolute error 0.1458903650121e-23+/-0.323e-31 relative error 0.3410686227206178882e-21+/-0.755e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.153e1+/-0.200e-31 y[1] (closed_form) 0.427185942506752741786175493965784969e0+/-0.113e-31 y[1] (numeric) 0.427185942506752741786177000734828783e0+/-0.217e-31 absolute error 0.1506769043814e-23+/-0.330e-31 relative error 0.3527197161433236414e-21+/-0.772e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1531e1+/-0.205e-31 y[1] (closed_form) 0.426628076735032393869866491009666538e0+/-0.116e-31 y[1] (numeric) 0.426628076735032393869868045487885665e0+/-0.222e-31 absolute error 0.1554478219127e-23+/-0.338e-31 relative error 0.3643637875461361174e-21+/-0.792e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1532e1+/-0.210e-31 y[1] (closed_form) 0.426071303032562499334263589011621094e0+/-0.118e-31 y[1] (numeric) 0.426071303032562499334265191043408573e0+/-0.227e-31 absolute error 0.1602031787479e-23+/-0.345e-31 relative error 0.3760008656007899975e-21+/-0.809e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1533e1+/-0.215e-31 y[1] (closed_form) 0.425515618550778906339757200788054925e0+/-0.121e-31 y[1] (numeric) 0.425515618550778906339758850218412427e0+/-0.232e-31 absolute error 0.1649430357502e-23+/-0.353e-31 relative error 0.387630978886187518e-21+/-0.829e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1534e1+/-0.220e-31 y[1] (closed_form) 0.424961020450399187134560082476434849e0+/-0.123e-31 y[1] (numeric) 0.4249610204503991871345617791509699e0+/-0.239e-31 absolute error 0.1696674535051e-23+/-0.362e-31 relative error 0.3992541558877006007e-21+/-0.851e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1535e1+/-0.225e-31 y[1] (closed_form) 0.424407505901386369558777468714800702e0+/-0.126e-31 y[1] (numeric) 0.424407505901386369558779212479723923e0+/-0.248e-31 absolute error 0.1743764923221e-23+/-0.374e-31 relative error 0.4108704249981323946e-21+/-0.881e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1536e1+/-0.230e-31 y[1] (closed_form) 0.423855072082912833780571076892820191e0+/-0.128e-31 y[1] (numeric) 0.423855072082912833780572867594942551e0+/-0.253e-31 absolute error 0.179070212236e-23+/-0.381e-31 relative error 0.422479814517758092e-21+/-0.898e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1537e1+/-0.235e-31 y[1] (closed_form) 0.423303716183324373404674119634096267e0+/-0.131e-31 y[1] (numeric) 0.423303716183324373404675957120826349e0+/-0.258e-31 absolute error 0.1837486730082e-23+/-0.389e-31 relative error 0.434082352654381434e-21+/-0.918e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1538e1+/-0.240e-31 y[1] (closed_form) 0.42275343540010442009854382579176434e0+/-0.134e-31 y[1] (numeric) 0.422753435400104420098545709911105625e0+/-0.263e-31 absolute error 0.1884119341285e-23+/-0.397e-31 relative error 0.4456780675245896825e-21+/-0.939e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1539e1+/-0.245e-31 y[1] (closed_form) 0.422204226939838430886434662629268379e0+/-0.136e-31 y[1] (numeric) 0.422204226939838430886436593229816541e0+/-0.27e-31 absolute error 0.1930600548162e-23+/-0.406e-31 relative error 0.4572669871533756564e-21+/-0.961e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.154e1+/-0.250e-31 y[1] (closed_form) 0.421656088018178437266639708787439371e0+/-0.139e-31 y[1] (numeric) 0.421656088018178437266641685718379587e0+/-0.275e-31 absolute error 0.1976930940216e-23+/-0.414e-31 relative error 0.4688491394747205816e-21+/-0.981e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1541e1+/-0.255e-31 y[1] (closed_form) 0.421109015859807755312079680563544929e0+/-0.141e-31 y[1] (numeric) 0.421109015859807755312081703674649203e0+/-0.28e-31 absolute error 0.2023111104274e-23+/-0.421e-31 relative error 0.4804245523319590868e-21+/-0.999e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1542e1+/-0.260e-31 y[1] (closed_form) 0.42056300769840585591931919260313782e0+/-0.143e-31 y[1] (numeric) 0.420563007698405855919321261744762321e0+/-0.287e-31 absolute error 0.2069141624501e-23+/-0.430e-31 relative error 0.4919932534781620265e-21+/-0.102e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1543e1+/-0.265e-31 y[1] (closed_form) 0.420018060776613394375958166201146649e0+/-0.146e-31 y[1] (numeric) 0.420018060776613394375960281224229061e0+/-0.298e-31 absolute error 0.2115023082412e-23+/-0.444e-31 relative error 0.50355527057606102e-21+/-0.105e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1544e1+/-0.270e-31 y[1] (closed_form) 0.419474172345997398421183110124134991e0+/-0.148e-31 y[1] (numeric) 0.419474172345997398421185270880191882e0+/-0.305e-31 absolute error 0.2160756056891e-23+/-0.453e-31 relative error 0.515110631199655986700000000000000001e-21+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1545e1+/-0.275e-31 y[1] (closed_form) 0.418931339667016613979068514544877181e0+/-0.151e-31 y[1] (numeric) 0.418931339667016613979070720886001378e0+/-0.31e-31 absolute error 0.2206341124197e-23+/-0.461e-31 relative error 0.526659362832746812200000000000000001e-21+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1546e1+/-0.280e-31 y[1] (closed_form) 0.41838956000898700774899304092644837e0+/-0.153e-31 y[1] (numeric) 0.418389560008987007748995292705306353e0+/-0.315e-31 absolute error 0.2251778857983e-23+/-0.468e-31 relative error 0.5382014928705754011e-21+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1547e1+/-0.285e-31 y[1] (closed_form) 0.417848830650047425842278780382833098e0+/-0.155e-31 y[1] (numeric) 0.417848830650047425842281077452662406e0+/-0.32e-31 absolute error 0.2297069829308e-23+/-0.475e-31 relative error 0.549737048619819868e-21+/-0.113e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1548e1+/-0.290e-31 y[1] (closed_form) 0.417309148877125407658874809341882606e0+/-0.158e-31 y[1] (numeric) 0.417309148877125407658877151556489257e0+/-0.325e-31 absolute error 0.2342214606651e-23+/-0.483e-31 relative error 0.561266057299082455500000000000000001e-21+/-0.115e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1549e1+/-0.295e-31 y[1] (closed_form) 0.416770511985903154202588811712251636e0+/-0.16e-31 y[1] (numeric) 0.416770511985903154202591198926007558e0+/-0.33e-31 absolute error 0.2387213755922e-23+/-0.49e-31 relative error 0.5727885460386758644e-21+/-0.117e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.155e1+/-0.300e-31 y[1] (closed_form) 0.416232917280783650038022876993599586e0+/-0.163e-31 y[1] (numeric) 0.416232917280783650038025309061440066e0+/-0.335e-31 absolute error 0.243206784048e-23+/-0.498e-31 relative error 0.584304541882104048e-21+/-0.119e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1551e1+/-0.305e-31 y[1] (closed_form) 0.41569636207485693809699193798475392e0+/-0.165e-31 y[1] (numeric) 0.41569636207485693809699441476217506e0+/-0.34e-31 absolute error 0.247677742114e-23+/-0.505e-31 relative error 0.595814071784922628e-21+/-0.121e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1552e1+/-0.310e-31 y[1] (closed_form) 0.415160843689866546546795892398612532e0+/-0.167e-31 y[1] (numeric) 0.415160843689866546546798413741668722e0+/-0.345e-31 absolute error 0.252134305619e-23+/-0.512e-31 relative error 0.607317162616013395e-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] -0.1553e1+/-0.315e-31 y[1] (closed_form) 0.414626359456176066937279470605064246e0+/-0.17e-31 y[1] (numeric) 0.41462635945617606693728203637036565e0+/-0.35e-31 absolute error 0.2565765301404e-23+/-0.52e-31 relative error 0.618813841157918124e-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] -0.1554e1+/-0.320e-31 y[1] (closed_form) 0.414092906712735882848147576086465911e0+/-0.172e-31 y[1] (numeric) 0.414092906712735882848150186131175965e0+/-0.355e-31 absolute error 0.2610044710054e-23+/-0.527e-31 relative error 0.630304134106947551800000000000000001e-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] -0.1555e1+/-0.325e-31 y[1] (closed_form) 0.413560482807050048262508343582740632e0+/-0.174e-31 y[1] (numeric) 0.413560482807050048262510997764573553e0+/-0.36e-31 absolute error 0.2654181832921e-23+/-0.534e-31 relative error 0.6417880680730633946e-21+/-0.129e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1556e1+/-0.330e-31 y[1] (closed_form) 0.413029085095143314897091738303119567e0+/-0.176e-31 y[1] (numeric) 0.41302908509514331489709443648033788e0+/-0.367e-31 absolute error 0.2698177218313e-23+/-0.543e-31 relative error 0.6532656695814681881e-21+/-0.131e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1557e1+/-0.335e-31 y[1] (closed_form) 0.412498710941528307724038362380117562e0+/-0.179e-31 y[1] (numeric) 0.412498710941528307724041104411529633e0+/-0.376e-31 absolute error 0.2742031412071e-23+/-0.555e-31 relative error 0.664736965071312175e-21+/-0.134e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1558e1+/-0.340e-31 y[1] (closed_form) 0.411969357719172847923571444755939053e0+/-0.18e-31 y[1] (numeric) 0.411969357719172847923574230500896642e0+/-0.381e-31 absolute error 0.2785744957589e-23+/-0.561e-31 relative error 0.6762019808978022985e-21+/-0.136e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1559e1+/-0.345e-31 y[1] (closed_form) 0.411441022809467422511254969178952981e0+/-0.183e-31 y[1] (numeric) 0.411441022809467422511257798497348801e0+/-0.388e-31 absolute error 0.282931839582e-23+/-0.571e-31 relative error 0.687660743330938524e-21+/-0.138e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.156e1+/-0.350e-31 y[1] (closed_form) 0.410913703602192799887902741657321804e0+/-0.186e-31 y[1] (numeric) 0.410913703602192799887905614409587096e0+/-0.397e-31 absolute error 0.2872752265292e-23+/-0.583e-31 relative error 0.6991132785566876492e-21+/-0.141e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1561e1+/-0.355e-31 y[1] (closed_form) 0.410387397495487790564537111742742914e0+/-0.187e-31 y[1] (numeric) 0.410387397495487790564540027789845034e0+/-0.402e-31 absolute error 0.291604710212e-23+/-0.589e-31 relative error 0.710559612677205064e-21+/-0.143e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1562e1+/-0.360e-31 y[1] (closed_form) 0.409862101895817152319102238052007402e0+/-0.19e-31 y[1] (numeric) 0.409862101895817152319105197255447418e0+/-0.407e-31 absolute error 0.2959203440016e-23+/-0.597e-31 relative error 0.721999771710583752e-21+/-0.145e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1563e1+/-0.365e-31 y[1] (closed_form) 0.409337814217939639045915422620826289e0+/-0.193e-31 y[1] (numeric) 0.409337814217939639045918424842636595e0+/-0.412e-31 absolute error 0.3002221810306e-23+/-0.605e-31 relative error 0.733433781592324882e-21+/-0.147e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1564e1+/-0.370e-31 y[1] (closed_form) 0.40881453188487619256309132466946323e0+/-0.194e-31 y[1] (numeric) 0.408814531884876192563094369772205169e0+/-0.417e-31 absolute error 0.3045102741939e-23+/-0.611e-31 relative error 0.744861668174876208300000000000000001e-21+/-0.149e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1565e1+/-0.375e-31 y[1] (closed_form) 0.408292252327878276647397994305139664e0+/-0.197e-31 y[1] (numeric) 0.408292252327878276647401082151901161e0+/-0.424e-31 absolute error 0.3087846761497e-23+/-0.621e-31 relative error 0.7562834572274251322e-21+/-0.152e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1566e1+/-0.380e-31 y[1] (closed_form) 0.40777097298639635257020083128190553e0+/-0.199e-31 y[1] (numeric) 0.407770972986396352570203961736298742e0+/-0.433e-31 absolute error 0.3130454393212e-23+/-0.632e-31 relative error 0.7676991744374200684e-21+/-0.154e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1567e1+/-0.385e-31 y[1] (closed_form) 0.407250691308048495412320962414833699e0+/-0.201e-31 y[1] (numeric) 0.407250691308048495412324135340992676e0+/-0.438e-31 absolute error 0.3172926158977e-23+/-0.639e-31 relative error 0.779108845410643373e-21+/-0.156e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1568e1+/-0.390e-31 y[1] (closed_form) 0.406731404748589150439778331384412018e0+/-0.203e-31 y[1] (numeric) 0.406731404748589150439781546646990372e0+/-0.442e-31 absolute error 0.3215262578354e-23+/-0.645e-31 relative error 0.790512495670560325000000000000000001e-21+/-0.158e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1569e1+/-0.395e-31 y[1] (closed_form) 0.406213110771878028826507192815552437e0+/-0.204e-31 y[1] (numeric) 0.406213110771878028826510450279721025e0+/-0.447e-31 absolute error 0.3257464168588e-23+/-0.651e-31 relative error 0.801910150659153205600000000000000001e-21+/-0.16e-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+/-0.400e-31 y[1] (closed_form) 0.405695806849849142014222883596542011e0+/-0.207e-31 y[1] (numeric) 0.405695806849849142014226183127986633e0+/-0.452e-31 absolute error 0.3299531444622e-23+/-0.659e-31 relative error 0.8133018357380212422e-21+/-0.162e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1571e1+/-0.405e-31 y[1] (closed_form) 0.405179490462479974003683891927284867e0+/-0.21e-31 y[1] (numeric) 0.405179490462479974003687233392203972e0+/-0.457e-31 absolute error 0.3341464919105e-23+/-0.667e-31 relative error 0.824687576187774241000000000000000001e-21+/-0.164e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1572e1+/-0.410e-31 y[1] (closed_form) 0.404664159097760790875632540663689687e0+/-0.211e-31 y[1] (numeric) 0.40466415909776079087563592392879209e0+/-0.462e-31 absolute error 0.3383265102403e-23+/-0.673e-31 relative error 0.8360673972081757555e-21+/-0.166e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1573e1+/-0.415e-31 y[1] (closed_form) 0.40414981025166408684371122687757898e0+/-0.214e-31 y[1] (numeric) 0.404149810251664086843714651810081595e0+/-0.467e-31 absolute error 0.3424932502615e-23+/-0.681e-31 relative error 0.847441323919537295000000000000000002e-21+/-0.168e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1574e1+/-0.420e-31 y[1] (closed_form) 0.403636441428114166145639293523209297e0+/-0.217e-31 y[1] (numeric) 0.403636441428114166145642759990834876e0+/-0.471e-31 absolute error 0.3466467625579e-23+/-0.688e-31 relative error 0.8588093813616584183e-21+/-0.17e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1575e1+/-0.425e-31 y[1] (closed_form) 0.403124050138956860082898429670575088e0+/-0.218e-31 y[1] (numeric) 0.403124050138956860082901937541549977e0+/-0.476e-31 absolute error 0.3507870974889e-23+/-0.694e-31 relative error 0.870171594495500051400000000000000001e-21+/-0.172e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1576e1+/-0.430e-31 y[1] (closed_form) 0.402612633903929378523112179555572017e0+/-0.22e-31 y[1] (numeric) 0.402612633903929378523115728698623918e0+/-0.481e-31 absolute error 0.3549143051901e-23+/-0.701e-31 relative error 0.881527988202151007700000000000000002e-21+/-0.174e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1577e1+/-0.435e-31 y[1] (closed_form) 0.402102190250630295183217862987699694e0+/-0.223e-31 y[1] (numeric) 0.402102190250630295183221453272055442e0+/-0.486e-31 absolute error 0.3590284355748e-23+/-0.709e-31 relative error 0.892878587284037364e-21+/-0.176e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1578e1+/-0.440e-31 y[1] (closed_form) 0.401592716714489666015417144394669258e0+/-0.224e-31 y[1] (numeric) 0.401592716714489666015420775690052611e0+/-0.491e-31 absolute error 0.3631295383353e-23+/-0.715e-31 relative error 0.9042234164656555005e-21+/-0.178e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1579e1+/-0.445e-31 y[1] (closed_form) 0.401084210838739280021754807595893218e0+/-0.227e-31 y[1] (numeric) 0.401084210838739280021758479772522651e0+/-0.496e-31 absolute error 0.3672176629433e-23+/-0.723e-31 relative error 0.915562500392079178600000000000000001e-21+/-0.18e-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+/-0.450e-31 y[1] (closed_form) 0.400576670174383041827014169598554078e0+/-0.229e-31 y[1] (numeric) 0.400576670174383041827017882527140595e0+/-0.5e-31 absolute error 0.3712928586517e-23+/-0.729e-31 relative error 0.926895863630962531700000000000000001e-21+/-0.181e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1581e1+/-0.455e-31 y[1] (closed_form) 0.400070092280167485343432169316064174e0+/-0.23e-31 y[1] (numeric) 0.400070092280167485343435922867809128e0+/-0.505e-31 absolute error 0.3753551744954e-23+/-0.735e-31 relative error 0.938223530672071014800000000000000001e-21+/-0.183e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1582e1+/-0.460e-31 y[1] (closed_form) 0.399564474722552417864527664845318602e0+/-0.233e-31 y[1] (numeric) 0.399564474722552417864531458891911527e0+/-0.509e-31 absolute error 0.3794046592925e-23+/-0.742e-31 relative error 0.949545525927822062500000000000000001e-21+/-0.185e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1583e1+/-0.465e-31 y[1] (closed_form) 0.39905981507568169392910303325365439e0+/-0.236e-31 y[1] (numeric) 0.399059815075681693929106867667270843e0+/-0.512e-31 absolute error 0.3834413616453e-23+/-0.748e-31 relative error 0.960861873733340817e-21+/-0.187e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1584e1+/-0.470e-31 y[1] (closed_form) 0.398556110921354118300221955898172102e0+/-0.237e-31 y[1] (numeric) 0.398556110921354118300225830551471519e0+/-0.516e-31 absolute error 0.3874653299417e-23+/-0.753e-31 relative error 0.9721725983475319769e-21+/-0.188e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1585e1+/-0.475e-31 y[1] (closed_form) 0.398053359848994477407685455050620445e0+/-0.239e-31 y[1] (numeric) 0.398053359848994477407689369816744003e0+/-0.52e-31 absolute error 0.3914766123558e-23+/-0.759e-31 relative error 0.983477723952162010800000000000000001e-21+/-0.19e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1586e1+/-0.480e-31 y[1] (closed_form) 0.397551559455624698606223987704525369e0+/-0.242e-31 y[1] (numeric) 0.397551559455624698606227942457093859e0+/-0.523e-31 absolute error 0.395475256849e-23+/-0.765e-31 relative error 0.994777274652204053e-21+/-0.192e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1587e1+/-0.485e-31 y[1] (closed_form) 0.397050707345835136605295862334578749e0+/-0.243e-31 y[1] (numeric) 0.397050707345835136605299856947690467e0+/-0.527e-31 absolute error 0.3994613111718e-23+/-0.770e-31 relative error 0.1006071274477960326e-20+/-0.193e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1588e1+/-0.490e-31 y[1] (closed_form) 0.396550801131755986430031585271310144e0+/-0.245e-31 y[1] (numeric) 0.396550801131755986430035619619538785e0+/-0.531e-31 absolute error 0.4034348228641e-23+/-0.776e-31 relative error 0.10173597473834298545e-20+/-0.195e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1589e1+/-0.495e-31 y[1] (closed_form) 0.396051838433028822276490125239512349e0+/-0.248e-31 y[1] (numeric) 0.396051838433028822276494199197904913e0+/-0.535e-31 absolute error 0.4073958392564e-23+/-0.783e-31 relative error 0.10286427172469480008e-20+/-0.197e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.159e1+/-0.500e-31 y[1] (closed_form) 0.395553816876778261627996666272431362e0+/-0.25e-31 y[1] (numeric) 0.395553816876778261628000779716506073e0+/-0.539e-31 absolute error 0.4113444074711e-23+/-0.789e-31 relative error 0.10399202078720953811e-20+/-0.199e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1591e1+/-0.505e-31 y[1] (closed_form) 0.395056734097583754002912358243767387e0+/-0.251e-31 y[1] (numeric) 0.39505673409758375400291651104951162e0+/-0.544e-31 absolute error 0.4152805744233e-23+/-0.795e-31 relative error 0.10511922429873596706e-20+/-0.201e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1592e1+/-0.510e-31 y[1] (closed_form) 0.394560587737451493707745027056992304e0+/-0.254e-31 y[1] (numeric) 0.394560587737451493707749219100860523e0+/-0.549e-31 absolute error 0.4192043868219e-23+/-0.803e-31 relative error 0.10624588462465667835e-20+/-0.203e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1593e1+/-0.515e-31 y[1] (closed_form) 0.394065375445786455973045928319508206e0+/-0.256e-31 y[1] (numeric) 0.394065375445786455973050159478419916e0+/-0.552e-31 absolute error 0.423115891171e-23+/-0.808e-31 relative error 0.107372004123008815e-20+/-0.205e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1594e1+/-0.520e-31 y[1] (closed_form) 0.393571094879364555853051573162701897e0+/-0.257e-31 y[1] (numeric) 0.393571094879364555853055843314039599e0+/-0.556e-31 absolute error 0.4270151337702e-23+/-0.813e-31 relative error 0.10849758514432736574e-20+/-0.206e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1595e1+/-0.525e-31 y[1] (closed_form) 0.393077743702304929273521575644274075e0+/-0.259e-31 y[1] (numeric) 0.39307774370230492927352588466588124e0+/-0.56e-31 absolute error 0.4309021607165e-23+/-0.819e-31 relative error 0.1096226300318954629e-20+/-0.208e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1596e1+/-0.530e-31 y[1] (closed_form) 0.392585319586042335615693519633388125e0+/-0.262e-31 y[1] (numeric) 0.392585319586042335615697867403567167e0+/-0.564e-31 absolute error 0.4347770179042e-23+/-0.826e-31 relative error 0.11074714112148826114e-20+/-0.21e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1597e1+/-0.535e-31 y[1] (closed_form) 0.392093820209299681227724169839359161e0+/-0.263e-31 y[1] (numeric) 0.392093820209299681227728556236869433e0+/-0.568e-31 absolute error 0.4386397510272e-23+/-0.831e-31 relative error 0.1118711207417281152e-20+/-0.211e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1598e1+/-0.540e-31 y[1] (closed_form) 0.39160324325806066325841310617734536e0+/-0.265e-31 y[1] (numeric) 0.39160324325806066325841753108140115e0+/-0.571e-31 absolute error 0.442490405579e-23+/-0.836e-31 relative error 0.1129945712138562295e-20+/-0.213e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1599e1+/-0.545e-31 y[1] (closed_form) 0.391113586425542533211410191324944207e0+/-0.268e-31 y[1] (numeric) 0.391113586425542533211414654615212748e0+/-0.575e-31 absolute error 0.4463290268541e-23+/-0.843e-31 relative error 0.11411749485186165882e-20+/-0.215e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.16e1+/-0.550e-31 y[1] (closed_form) 0.390624847412168979621492335354556502e0+/-0.27e-31 y[1] (numeric) 0.390624847412168979621496836911155993e0+/-0.579e-31 absolute error 0.4501556599491e-23+/-0.849e-31 relative error 0.11523989396253559491e-20+/-0.217e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1601e1+/-0.555e-31 y[1] (closed_form) 0.390137023925543129257857944867396326e0+/-0.271e-31 y[1] (numeric) 0.390137023925543129257862484570893961e0+/-0.584e-31 absolute error 0.4539703497635e-23+/-0.855e-31 relative error 0.1163617708454502727e-20+/-0.219e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1602e1+/-0.560e-31 y[1] (closed_form) 0.389650113680420666262729382151297242e0+/-0.273e-31 y[1] (numeric) 0.389650113680420666262733959882707248e0+/-0.59e-31 absolute error 0.4577731410006e-23+/-0.863e-31 relative error 0.1174831277929644843e-20+/-0.221e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1603e1+/-0.565e-31 y[1] (closed_form) 0.389164114398683068636874856495732815e0+/-0.276e-31 y[1] (numeric) 0.389164114398683068636879472136514502e0+/-0.593e-31 absolute error 0.4615640781687e-23+/-0.869e-31 relative error 0.1186039670903073207e-20+/-0.223e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1604e1+/-0.570e-31 y[1] (closed_form) 0.388679023809310961486961567806804759e0+/-0.276e-31 y[1] (numeric) 0.38867902380931096148696622123886058e0+/-0.598e-31 absolute error 0.4653432055821e-23+/-0.874e-31 relative error 0.11972429101561217757e-20+/-0.224e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1605e1+/-0.575e-31 y[1] (closed_form) 0.388194839648357586452931763887476291e0+/-0.279e-31 y[1] (numeric) 0.388194839648357586452936454993149909e0+/-0.604e-31 absolute error 0.4691105673618e-23+/-0.883e-31 relative error 0.12084410183987482068e-20+/-0.227e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1606e1+/-0.580e-31 y[1] (closed_form) 0.387711559658922386736852797939855856e0+/-0.281e-31 y[1] (numeric) 0.387711559658922386736857526601930223e0+/-0.608e-31 absolute error 0.4728662074367e-23+/-0.889e-31 relative error 0.12196340182704117979e-20+/-0.229e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1607e1+/-0.585e-31 y[1] (closed_form) 0.387229181591124707157931421711940211e0+/-0.283e-31 y[1] (numeric) 0.387229181591124707157936187813635655e0+/-0.612e-31 absolute error 0.4766101695444e-23+/-0.895e-31 relative error 0.123082193233993578e-20+/-0.231e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1608e1+/-0.590e-31 y[1] (closed_form) 0.386747703202077608661601560913730123e0+/-0.284e-31 y[1] (numeric) 0.386747703202077608661606364338702445e0+/-0.616e-31 absolute error 0.4803424972322e-23+/-0.900e-31 relative error 0.1242004783105896413e-20+/-0.232e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1609e1+/-0.595e-31 y[1] (closed_form) 0.386267122255861796713793830696030178e0+/-0.286e-31 y[1] (numeric) 0.386267122255861796713798671328368759e0+/-0.62e-31 absolute error 0.4840632338581e-23+/-0.906e-31 relative error 0.12531825929970256442e-20+/-0.234e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.161e1+/-0.600e-31 y[1] (closed_form) 0.385787436523499663014674196723044356e0+/-0.289e-31 y[1] (numeric) 0.385787436523499663014679074447270274e0+/-0.624e-31 absolute error 0.4877724225918e-23+/-0.913e-31 relative error 0.12643553843726273718e-20+/-0.236e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1611e1+/-0.605e-31 y[1] (closed_form) 0.385308643782929439969298607263376182e0+/-0.289e-31 y[1] (numeric) 0.385308643782929439969303521964440336e0+/-0.628e-31 absolute error 0.4914701064154e-23+/-0.917e-31 relative error 0.12755231795222287588e-20+/-0.237e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1612e1+/-0.610e-31 y[1] (closed_form) 0.384830741818979467355770248350519232e0+/-0.292e-31 y[1] (numeric) 0.384830741818979467355775199913800478e0+/-0.632e-31 absolute error 0.4951563281246e-23+/-0.924e-31 relative error 0.1286686000666538707e-20+/-0.24e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1613e1+/-0.615e-31 y[1] (closed_form) 0.384353728423342570634606440999780918e0+/-0.294e-31 y[1] (numeric) 0.38435372842334257063461142931108421e0+/-0.635e-31 absolute error 0.4988311303292e-23+/-0.929e-31 relative error 0.1297843869956602684e-20+/-0.241e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1614e1+/-0.620e-31 y[1] (closed_form) 0.383877601394550550346123239297396503e0+/-0.296e-31 y[1] (numeric) 0.383877601394550550346128264242951051e0+/-0.639e-31 absolute error 0.5024945554548e-23+/-0.935e-31 relative error 0.13089968094760876356e-20+/-0.243e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1615e1+/-0.625e-31 y[1] (closed_form) 0.383402358537948782045727632498104075e0+/-0.297e-31 y[1] (numeric) 0.383402358537948782045732693964561502e0+/-0.642e-31 absolute error 0.5061466457427e-23+/-0.939e-31 relative error 0.13201448412388994502e-20+/-0.244e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1616e1+/-0.630e-31 y[1] (closed_form) 0.382927997665670926230070033701493074e0+/-0.299e-31 y[1] (numeric) 0.382927997665670926230075131575925592e0+/-0.646e-31 absolute error 0.5097874432518e-23+/-0.945e-31 relative error 0.13312879871920158726e-20+/-0.246e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1617e1+/-0.635e-31 y[1] (closed_form) 0.382454516596613747710053581877775185e0+/-0.301e-31 y[1] (numeric) 0.382454516596613747710058716047673772e0+/-0.65e-31 absolute error 0.5134169898587e-23+/-0.951e-31 relative error 0.1342426269213644303e-20+/-0.248e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1618e1+/-0.640e-31 y[1] (closed_form) 0.381981913156412043889721821671743842e0+/-0.303e-31 y[1] (numeric) 0.381981913156412043889726992025016434e0+/-0.654e-31 absolute error 0.5170353272592e-23+/-0.957e-31 relative error 0.135355970911504116e-20+/-0.25e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1619e1+/-0.645e-31 y[1] (closed_form) 0.381510185177413681413052684267511889e0+/-0.304e-31 y[1] (numeric) 0.381510185177413681413057890692481575e0+/-0.658e-31 absolute error 0.5206424969686e-23+/-0.962e-31 relative error 0.13646883286392095132e-20+/-0.252e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.162e1+/-0.650e-31 y[1] (closed_form) 0.381039330498654740643674499438157507e0+/-0.306e-31 y[1] (numeric) 0.381039330498654740643679741823560739e0+/-0.662e-31 absolute error 0.5242385403232e-23+/-0.968e-31 relative error 0.13758121494627464032e-20+/-0.254e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1621e1+/-0.655e-31 y[1] (closed_form) 0.380569346965834767445489149587348657e0+/-0.308e-31 y[1] (numeric) 0.380569346965834767445494427822333467e0+/-0.665e-31 absolute error 0.527823498481e-23+/-0.973e-31 relative error 0.1386931193195611802e-20+/-0.255e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1622e1+/-0.660e-31 y[1] (closed_form) 0.380100232431292131735138556037227016e0+/-0.311e-31 y[1] (numeric) 0.380100232431292131735143870011351239e0+/-0.669e-31 absolute error 0.5313974124223e-23+/-0.980e-31 relative error 0.13980454813806427355e-20+/-0.257e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1623e1+/-0.665e-31 y[1] (closed_form) 0.379631984753979492280183590027827024e0+/-0.311e-31 y[1] (numeric) 0.37963198475397949228018893963105653e0+/-0.673e-31 absolute error 0.5349603229506e-23+/-0.984e-31 relative error 0.1409155035493863978e-20+/-0.259e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1624e1+/-0.670e-31 y[1] (closed_form) 0.379164601799439367219779348951628834e0+/-0.313e-31 y[1] (numeric) 0.379164601799439367219784734074335773e0+/-0.677e-31 absolute error 0.5385122706939e-23+/-0.990e-31 relative error 0.14202598769458659003e-20+/-0.261e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1625e1+/-0.675e-31 y[1] (closed_form) 0.378698081439779809787527654427397139e0+/-0.315e-31 y[1] (numeric) 0.378698081439779809787533074960358192e0+/-0.681e-31 absolute error 0.5420532961053e-23+/-0.996e-31 relative error 0.14313600270813539178e-20+/-0.263e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1626e1+/-0.680e-31 y[1] (closed_form) 0.378232421553650188719066734193761661e0+/-0.318e-31 y[1] (numeric) 0.378232421553650188719072190028156296e0+/-0.685e-31 absolute error 0.5455834394635e-23+/-0.1e-30 relative error 0.14424555071784399895e-20+/-0.264e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1627e1+/-0.685e-31 y[1] (closed_form) 0.37776762002621707282981946485438947e0+/-0.318e-31 y[1] (numeric) 0.377767620026217072829824955881798216e0+/-0.689e-31 absolute error 0.5491027408746e-23+/-0.1e-30 relative error 0.1453546338451379898e-20+/-0.264e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1628e1+/-0.690e-31 y[1] (closed_form) 0.377303674749140219251165396725381406e0+/-0.32e-31 y[1] (numeric) 0.377303674749140219251170922837784125e0+/-0.693e-31 absolute error 0.5526112402719e-23+/-0.101e-30 relative error 0.14646325420480396815e-20+/-0.267e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1629e1+/-0.695e-31 y[1] (closed_form) 0.376840583620548664816128174034025689e0+/-0.322e-31 y[1] (numeric) 0.376840583620548664816133735123799862e0+/-0.697e-31 absolute error 0.5561089774173e-23+/-0.101e-30 relative error 0.14757141390515988066e-20+/-0.268e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.163e1+/-0.700e-31 y[1] (closed_form) 0.376378344545016920088479021235642577e0+/-0.324e-31 y[1] (numeric) 0.376378344545016920088484617195561598e0+/-0.701e-31 absolute error 0.5595959919021e-23+/-0.102e-30 relative error 0.14867911504806813921e-20+/-0.271e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1631e1+/-0.705e-31 y[1] (closed_form) 0.375916955433541265531948806125341238e0+/-0.325e-31 y[1] (numeric) 0.375916955433541265531954436848572716e0+/-0.705e-31 absolute error 0.5630723231478e-23+/-0.103e-30 relative error 0.14978635972894979436e-20+/-0.273e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1632e1+/-0.710e-31 y[1] (closed_form) 0.375456414203516149319015928738372584e0+/-0.327e-31 y[1] (numeric) 0.375456414203516149319021594118476653e0+/-0.709e-31 absolute error 0.5665380104069e-23+/-0.103e-30 relative error 0.15089315003679976325e-20+/-0.274e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1633e1+/-0.715e-31 y[1] (closed_form) 0.374996718778710686281495036918426963e0+/-0.329e-31 y[1] (numeric) 0.374996718778710686281500736849354601e0+/-0.714e-31 absolute error 0.5699930927638e-23+/-0.104e-30 relative error 0.1519994880542297822e-20+/-0.277e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1634e1+/-0.720e-31 y[1] (closed_form) 0.37453786708924525750789244920423812e0+/-0.331e-31 y[1] (numeric) 0.374537867089245257507898183580329474e0+/-0.719e-31 absolute error 0.5734376091354e-23+/-0.105e-30 relative error 0.15310537585743251778e-20+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1635e1+/-0.725e-31 y[1] (closed_form) 0.374079857071568210095218286818996972e0+/-0.333e-31 y[1] (numeric) 0.374079857071568210095224055534979694e0+/-0.723e-31 absolute error 0.5768715982722e-23+/-0.105e-30 relative error 0.15421081551628001172e-20+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1636e1+/-0.730e-31 y[1] (closed_form) 0.373622686668432656565652791690033652e0+/-0.334e-31 y[1] (numeric) 0.373622686668432656565658594641021243e0+/-0.727e-31 absolute error 0.5802950987591e-23+/-0.106e-30 relative error 0.15531580909434348727e-20+/-0.283e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1637e1+/-0.735e-31 y[1] (closed_form) 0.373166353828873373461155248398183426e0+/-0.336e-31 y[1] (numeric) 0.373166353828873373461161085479673585e0+/-0.731e-31 absolute error 0.5837081490159e-23+/-0.106e-30 relative error 0.1564203586488338343e-20+/-0.284e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1638e1+/-0.740e-31 y[1] (closed_form) 0.372710856508183798631778445758457275e0+/-0.338e-31 y[1] (numeric) 0.372710856508183798631784316866330259e0+/-0.734e-31 absolute error 0.5871107872984e-23+/-0.107e-30 relative error 0.1575244662307035628e-20+/-0.287e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1639e1+/-0.745e-31 y[1] (closed_form) 0.372256192667893126736109818554886569e0+/-0.339e-31 y[1] (numeric) 0.372256192667893126736115723585403561e0+/-0.739e-31 absolute error 0.5905030516992e-23+/-0.107e-30 relative error 0.15862813388466983424e-20+/-0.287e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.164e1+/-0.750e-31 y[1] (closed_form) 0.371802360275743502474902411175486624e0+/-0.341e-31 y[1] (numeric) 0.371802360275743502474908350025288106e0+/-0.744e-31 absolute error 0.5938849801482e-23+/-0.108e-30 relative error 0.15973136364915788682e-20+/-0.29e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1641e1+/-0.755e-31 y[1] (closed_form) 0.371349357305667311081584711101340496e0+/-0.342e-31 y[1] (numeric) 0.371349357305667311081590683667444635e0+/-0.748e-31 absolute error 0.5972566104139e-23+/-0.109e-30 relative error 0.16083415755646038598e-20+/-0.293e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1642e1+/-0.760e-31 y[1] (closed_form) 0.370897181737764565595948319186696659e0+/-0.344e-31 y[1] (numeric) 0.370897181737764565595954325366497695e0+/-0.752e-31 absolute error 0.6006179801036e-23+/-0.109e-30 relative error 0.1619365176326022694e-20+/-0.293e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1643e1+/-0.765e-31 y[1] (closed_form) 0.370445831558280390449906462427531534e0+/-0.346e-31 y[1] (numeric) 0.37044583155828039044991250211879818e0+/-0.757e-31 absolute error 0.6039691266646e-23+/-0.11e-30 relative error 0.163038445897475447e-20+/-0.296e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1644e1+/-0.770e-31 y[1] (closed_form) 0.369995304759582600896794619676276308e0+/-0.348e-31 y[1] (numeric) 0.369995304759582600896800692777150157e0+/-0.763e-31 absolute error 0.6073100873849e-23+/-0.111e-30 relative error 0.16413994436484024713e-20+/-0.3e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1645e1+/-0.775e-31 y[1] (closed_form) 0.36954559934013937781824712696773793e0+/-0.348e-31 y[1] (numeric) 0.369545599340139377818253233376731868e0+/-0.766e-31 absolute error 0.6106408993938e-23+/-0.111e-30 relative error 0.16524101504230070388e-20+/-0.3e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1646e1+/-0.780e-31 y[1] (closed_form) 0.369096713304497037445230661454528945e0+/-0.35e-31 y[1] (numeric) 0.369096713304497037445236801070525575e0+/-0.77e-31 absolute error 0.613961599663e-23+/-0.112e-30 relative error 0.1663416599314160171e-20+/-0.303e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1647e1+/-0.785e-31 y[1] (closed_form) 0.368648644663257895532347075325977564e0+/-0.352e-31 y[1] (numeric) 0.368648644663257895532353248048227632e0+/-0.774e-31 absolute error 0.6172722250068e-23+/-0.112e-30 relative error 0.1674418810275695748e-20+/-0.303e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1648e1+/-0.790e-31 y[1] (closed_form) 0.368201391433058225527034266662493717e0+/-0.354e-31 y[1] (numeric) 0.368201391433058225527040472390614554e0+/-0.778e-31 absolute error 0.6205728120837e-23+/-0.113e-30 relative error 0.16854168032021812485e-20+/-0.306e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1649e1+/-0.795e-31 y[1] (closed_form) 0.367754951636546310277794735367214351e0+/-0.356e-31 y[1] (numeric) 0.367754951636546310277800974001188314e0+/-0.781e-31 absolute error 0.6238633973963e-23+/-0.113e-30 relative error 0.16964105979268137526e-20+/-0.307e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.165e1+/-0.800e-31 y[1] (closed_form) 0.367309323302360586828067280783367939e0+/-0.358e-31 y[1] (numeric) 0.367309323302360586828073552223540864e0+/-0.785e-31 absolute error 0.6271440172925e-23+/-0.114e-30 relative error 0.17074002142228485425e-20+/-0.31e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1651e1+/-0.805e-31 y[1] (closed_form) 0.366864504465107883844828054275402248e0+/-0.358e-31 y[1] (numeric) 0.366864504465107883844834358422481911e0+/-0.789e-31 absolute error 0.6304147079663e-23+/-0.114e-30 relative error 0.17183856718039564726e-20+/-0.31e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1652e1+/-0.810e-31 y[1] (closed_form) 0.36642049316534175123346298511783167e0+/-0.36e-31 y[1] (numeric) 0.366420493165341751233469321872886253e0+/-0.793e-31 absolute error 0.6336755054583e-23+/-0.115e-30 relative error 0.17293669903237738215e-20+/-0.313e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1653e1+/-0.815e-31 y[1] (closed_form) 0.365977287449540881492894550964167163e0+/-0.362e-31 y[1] (numeric) 0.365977287449540881492900920228623732e0+/-0.797e-31 absolute error 0.6369264456569e-23+/-0.115e-30 relative error 0.1740344189377370129e-20+/-0.314e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1654e1+/-0.820e-31 y[1] (closed_form) 0.365534885370087622367372063703957682e0+/-0.363e-31 y[1] (numeric) 0.365534885370087622367378465379600664e0+/-0.801e-31 absolute error 0.6401675642982e-23+/-0.116e-30 relative error 0.17513172884991788094e-20+/-0.317e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1655e1+/-0.825e-31 y[1] (closed_form) 0.365093284985246580353746185687905116e0+/-0.365e-31 y[1] (numeric) 0.365093284985246580353752619676874791e0+/-0.805e-31 absolute error 0.6433988969675e-23+/-0.117e-30 relative error 0.1762286307165303655e-20+/-0.32e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1656e1+/-0.830e-31 y[1] (closed_form) 0.364652484359143314625445377428084148e0+/-0.366e-31 y[1] (numeric) 0.364652484359143314625451843632875146e0+/-0.808e-31 absolute error 0.6466204790998e-23+/-0.117e-30 relative error 0.17732512647931082326e-20+/-0.32e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1657e1+/-0.835e-31 y[1] (closed_form) 0.364212481561743120936754502576803307e0+/-0.367e-31 y[1] (numeric) 0.364212481561743120936761000900263112e0+/-0.812e-31 absolute error 0.6498323459805e-23+/-0.117e-30 relative error 0.1784212180741359825e-20+/-0.321e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1658e1+/-0.840e-31 y[1] (closed_form) 0.363773274668829905073363975168836271e0+/-0.369e-31 y[1] (numeric) 0.363773274668829905073370505514163732e0+/-0.816e-31 absolute error 0.6530345327461e-23+/-0.118e-30 relative error 0.17951690743103827865e-20+/-0.324e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1659e1+/-0.845e-31 y[1] (closed_form) 0.36333486176198514541751172299931475e0+/-0.371e-31 y[1] (numeric) 0.363334861761985145417518285270058599e0+/-0.82e-31 absolute error 0.6562270743849e-23+/-0.119e-30 relative error 0.18061219647422213418e-20+/-0.327e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.166e1+/-0.850e-31 y[1] (closed_form) 0.362897240928566944198379954137046691e0+/-0.373e-31 y[1] (numeric) 0.362897240928566944198386548237104068e0+/-0.823e-31 absolute error 0.6594100057377e-23+/-0.119e-30 relative error 0.18170708712208118577e-20+/-0.327e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1661e1+/-0.855e-31 y[1] (closed_form) 0.362460410261689167000734344791190182e0+/-0.374e-31 y[1] (numeric) 0.362460410261689167000740970624805168e0+/-0.827e-31 absolute error 0.6625833614986e-23+/-0.12e-30 relative error 0.18280158128724405092e-20+/-0.331e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1662e1+/-0.860e-31 y[1] (closed_form) 0.362024367860200670107104909231440368e0+/-0.375e-31 y[1] (numeric) 0.362024367860200670107111566703202525e0+/-0.831e-31 absolute error 0.6657471762157e-23+/-0.12e-30 relative error 0.18389568087659362465e-20+/-0.331e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1663e1+/-0.865e-31 y[1] (closed_form) 0.361589111828664615251105558709416142e0+/-0.377e-31 y[1] (numeric) 0.361589111828664615251112247724259059e0+/-0.835e-31 absolute error 0.6689014842917e-23+/-0.121e-30 relative error 0.1849893877912596769e-20+/-0.334e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1664e1+/-0.870e-31 y[1] (closed_form) 0.361154640277337871361773298176132951e0+/-0.378e-31 y[1] (numeric) 0.361154640277337871361780018639332799e0+/-0.839e-31 absolute error 0.6720463199848e-23+/-0.121e-30 relative error 0.18608270392669527656e-20+/-0.335e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1665e1+/-0.875e-31 y[1] (closed_form) 0.360720951322150502881078238210016066e0+/-0.38e-31 y[1] (numeric) 0.360720951322150502881084990027190158e0+/-0.843e-31 absolute error 0.6751817174092e-23+/-0.122e-30 relative error 0.18717563117264368792e-20+/-0.338e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1666e1+/-0.880e-31 y[1] (closed_form) 0.360288043084685344239012205478035579e0+/-0.382e-31 y[1] (numeric) 0.360288043084685344239018988555140936e0+/-0.847e-31 absolute error 0.6783077105357e-23+/-0.122e-30 relative error 0.18826817141313358849e-20+/-0.338e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1667e1+/-0.885e-31 y[1] (closed_form) 0.359855913692157660072906808114031141e0+/-0.383e-31 y[1] (numeric) 0.359855913692157660072913622357363068e0+/-0.85e-31 absolute error 0.6814243331927e-23+/-0.123e-30 relative error 0.1893603265265862103e-20+/-0.341e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1668e1+/-0.890e-31 y[1] (closed_form) 0.359424561277394890779861441831627564e0+/-0.384e-31 y[1] (numeric) 0.35942456127739489077986828714781823e0+/-0.854e-31 absolute error 0.6845316190666e-23+/-0.123e-30 relative error 0.1904520983857571185e-20+/-0.342e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1669e1+/-0.895e-31 y[1] (closed_form) 0.358993983978816482993377996971526751e0+/-0.385e-31 y[1] (numeric) 0.358993983978816482993384873267543779e0+/-0.858e-31 absolute error 0.6876296017028e-23+/-0.124e-30 relative error 0.19154348885784549736e-20+/-0.345e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.167e1+/-0.900e-31 y[1] (closed_form) 0.358564179940413804577502033955310711e0+/-0.387e-31 y[1] (numeric) 0.358564179940413804577508941138455772e0+/-0.862e-31 absolute error 0.6907183145061e-23+/-0.124e-30 relative error 0.19263449980443767961e-20+/-0.345e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1671e1+/-0.905e-31 y[1] (closed_form) 0.358135147311730143733960022089775886e0+/-0.389e-31 y[1] (numeric) 0.358135147311730143733966960067683297e0+/-0.865e-31 absolute error 0.6937977907411e-23+/-0.125e-30 relative error 0.19372513308145105462e-20+/-0.349e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1672e1+/-0.910e-31 y[1] (closed_form) 0.357706884247840791819958971020376772e0+/-0.39e-31 y[1] (numeric) 0.35770688424784079181996593970101211e0+/-0.869e-31 absolute error 0.6968680635338e-23+/-0.125e-30 relative error 0.1948153905394138273e-20+/-0.349e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1673e1+/-0.915e-31 y[1] (closed_form) 0.357279388909333209476478511431154048e0+/-0.392e-31 y[1] (numeric) 0.35727938890933320947648551072281276e0+/-0.874e-31 absolute error 0.6999291658712e-23+/-0.126e-30 relative error 0.1959052740231877816e-20+/-0.352e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1674e1+/-0.920e-31 y[1] (closed_form) 0.356852659462287275669036287276382741e0+/-0.394e-31 y[1] (numeric) 0.35685265946228727566904331708768877e0+/-0.88e-31 absolute error 0.7029811306029e-23+/-0.127e-30 relative error 0.19699478537225028033e-20+/-0.355e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1675e1+/-0.925e-31 y[1] (closed_form) 0.356426694078255619245045490738965207e0+/-0.394e-31 y[1] (numeric) 0.356426694078255619245052550978869615e0+/-0.884e-31 absolute error 0.7060239904408e-23+/-0.127e-30 relative error 0.19808392642044599408e-20+/-0.356e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1676e1+/-0.930e-31 y[1] (closed_form) 0.356001490934244032614008587467964315e0+/-0.395e-31 y[1] (numeric) 0.356001490934244032614015678045743921e0+/-0.889e-31 absolute error 0.7090577779606e-23+/-0.128e-30 relative error 0.19917269899624323062e-20+/-0.359e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1677e1+/-0.935e-31 y[1] (closed_form) 0.355577048212691967158903827075769913e0+/-0.397e-31 y[1] (numeric) 0.355577048212691967158910947901025931e0+/-0.894e-31 absolute error 0.7120825256018e-23+/-0.129e-30 relative error 0.2002611049225710194e-20+/-0.362e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1678e1+/-0.940e-31 y[1] (closed_form) 0.355153364101453109989221095399520898e0+/-0.399e-31 y[1] (numeric) 0.355153364101453109989228246382177589e0+/-0.898e-31 absolute error 0.7150982656691e-23+/-0.129e-30 relative error 0.20134914601704998335e-20+/-0.363e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1679e1+/-0.945e-31 y[1] (closed_form) 0.354730436793776041648191123083657497e0+/-0.4e-31 y[1] (numeric) 0.354730436793776041648198304133960821e0+/-0.902e-31 absolute error 0.7181050303324e-23+/-0.13e-30 relative error 0.20243682409183095608e-20+/-0.366e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.168e1+/-0.950e-31 y[1] (closed_form) 0.354308264488284974388827101464320626e0+/-0.402e-31 y[1] (numeric) 0.354308264488284974388834312492836899e0+/-0.907e-31 absolute error 0.7211028516273e-23+/-0.13e-30 relative error 0.20352414095357431473e-20+/-0.366e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1681e1+/-0.955e-31 y[1] (closed_form) 0.353886845388960570635460452791140938e0+/-0.403e-31 y[1] (numeric) 0.353886845388960570635467693708755504e0+/-0.911e-31 absolute error 0.7240917614566e-23+/-0.131e-30 relative error 0.20461109840371249292e-20+/-0.37e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1682e1+/-0.960e-31 y[1] (closed_form) 0.353466177705120841249502938187602173e0+/-0.404e-31 y[1] (numeric) 0.353466177705120841249510208905518075e0+/-0.915e-31 absolute error 0.7270717915902e-23+/-0.131e-30 relative error 0.2056976982382624575e-20+/-0.37e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1683e1+/-0.965e-31 y[1] (closed_form) 0.353046259651402123220205543532369046e0+/-0.405e-31 y[1] (numeric) 0.353046259651402123220212843962105703e0+/-0.919e-31 absolute error 0.7300429736657e-23+/-0.132e-30 relative error 0.2067839422478358593e-20+/-0.373e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1684e1+/-0.970e-31 y[1] (closed_form) 0.352627089447740136403210740174839563e0+/-0.407e-31 y[1] (numeric) 0.35262708944774013640321807022823146e0+/-0.924e-31 absolute error 0.7330053391897e-23+/-0.133e-30 relative error 0.20786983221784850729e-20+/-0.377e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1685e1+/-0.975e-31 y[1] (closed_form) 0.352208665319351118931708853046569734e0+/-0.408e-31 y[1] (numeric) 0.35220866531935111893171621263576511e0+/-0.93e-31 absolute error 0.7359589195376e-23+/-0.133e-30 relative error 0.20895536992830618976e-20+/-0.377e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.1686e1+/-0.980e-31 y[1] (closed_form) 0.351790985496713040927011461702098468e0+/-0.41e-31 y[1] (numeric) 0.351790985496713040927018850739558018e0+/-0.934e-31 absolute error 0.738903745955e-23+/-0.134e-30 relative error 0.2100405571540445135e-20+/-0.38e-28% Desired digits 8 Estimated correct digits 12 Correct digits 21 h -0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; Iterations 187 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%