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/nonlinear2postode.ode################# diff ( y , x , 1 ) = y * y ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(0.2) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0)/(c(1.0) - c(2.0)*c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50e-33 y[1] (closed_form) 0.2e1+/-0.15e-32 y[1] (numeric) 0.2e1+/-0.35e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.50e-32 relative error 0.0e0+/-0.250000000000000000000000000000000375e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e-1+/-0.50e-32 y[1] (closed_form) 0.204081632653061224489795918367346938e1+/-0.223e-31 y[1] (numeric) 0.20408163265306122448979422695877407e1+/-0.616e-31 absolute error 0.1691408572868e-22+/-0.839e-31 relative error 0.828790200705320000000000000000000003e-21+/-0.411e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.208333333333333333333333333333333333e1+/-0.45e-31 y[1] (numeric) 0.208333333333333333333329734845993071e1+/-0.111e-30 absolute error 0.3598487340262e-22+/-0.156e-30 relative error 0.172727392332576e-20+/-0.748e-29% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e-1+/-0.150e-31 y[1] (closed_form) 0.212765957446808510638297872340425531e1+/-0.695e-31 y[1] (numeric) 0.212765957446808510638292123009282291e1+/-0.147e-30 absolute error 0.574933114324e-22+/-0.216e-30 relative error 0.270218563732280000000000000000000001e-20+/-0.101e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.217391304347826086956521739130434782e1+/-0.962e-31 y[1] (numeric) 0.217391304347826086956513562939206532e1+/-0.182e-30 absolute error 0.817619122825e-22+/-0.278e-30 relative error 0.376104796499500000000000000000000001e-20+/-0.127e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.5e-1+/-0.250e-31 y[1] (closed_form) 0.222222222222222222222222222222222222e1+/-0.125e-30 y[1] (numeric) 0.222222222222222222222211306039565974e1+/-0.222e-30 absolute error 0.10916182656248e-21+/-0.347e-30 relative error 0.49122821953116e-20+/-0.156e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.6e-1+/-0.300e-31 y[1] (closed_form) 0.227272727272727272727272727272727272e1+/-0.156e-30 y[1] (numeric) 0.227272727272727272727258715143049624e1+/-0.268e-30 absolute error 0.14012129677648e-21+/-0.424e-30 relative error 0.616533705816512000000000000000000001e-20+/-0.186e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.7e-1+/-0.350e-31 y[1] (closed_form) 0.232558139534883720930232558139534883e1+/-0.191e-30 y[1] (numeric) 0.232558139534883720930215044559856845e1+/-0.312e-30 absolute error 0.17513579678038e-21+/-0.503e-30 relative error 0.753083926155634000000000000000000002e-20+/-0.216e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.8e-1+/-0.400e-31 y[1] (closed_form) 0.238095238095238095238095238095238095e1+/-0.228e-30 y[1] (numeric) 0.238095238095238095238073760071275278e1+/-0.362e-30 absolute error 0.21478023962817e-21+/-0.590e-30 relative error 0.902077006438314e-20+/-0.247e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.9e-1+/-0.450e-31 y[1] (closed_form) 0.243902439024390243902439024390243902e1+/-0.269e-30 y[1] (numeric) 0.243902439024390243902413052016780838e1+/-0.415e-30 absolute error 0.25972373463064e-21+/-0.684e-30 relative error 0.1064867311985624e-19+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.500e-31 y[1] (closed_form) 0.25e1+/-0.313e-30 y[1] (numeric) 0.249999999999999999999968925249917571e1+/-0.487e-30 absolute error 0.31074750082429e-21+/-0.800e-30 relative error 0.124299000329716e-19+/-0.32e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-31 y[1] (closed_form) 0.25641025641025641025641025641025641e1+/-0.362e-30 y[1] (numeric) 0.256410256410256410256373379739484987e1+/-0.548e-30 absolute error 0.36876670771423e-21+/-0.910e-30 relative error 0.1438190160085497e-19+/-0.354e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.600e-31 y[1] (closed_form) 0.263157894736842105263157894736842105e1+/-0.416e-30 y[1] (numeric) 0.263157894736842105263114409014103218e1+/-0.624e-30 absolute error 0.43485722738887e-21+/-0.104e-29 relative error 0.1652457464077706e-19+/-0.395e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.650e-31 y[1] (closed_form) 0.27027027027027027027027027027027027e1+/-0.475e-30 y[1] (numeric) 0.270270270270270270270219241414103095e1+/-0.7e-30 absolute error 0.51028856167175e-21+/-0.117e-29 relative error 0.1888067678185475e-19+/-0.432e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.700e-31 y[1] (closed_form) 0.277777777777777777777777777777777777e1+/-0.54e-30 y[1] (numeric) 0.277777777777777777777718121320083628e1+/-0.782e-30 absolute error 0.59656457694149e-21+/-0.132e-29 relative error 0.2147632476989364e-19+/-0.475e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.750e-31 y[1] (closed_form) 0.285714285714285714285714285714285714e1+/-0.612e-30 y[1] (numeric) 0.285714285714285714285644738297326245e1+/-0.873e-30 absolute error 0.69547416959469e-21+/-0.148e-29 relative error 0.2434159593581415e-19+/-0.518e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.800e-31 y[1] (closed_form) 0.294117647058823529411764705882352941e1+/-0.692e-30 y[1] (numeric) 0.294117647058823529411683790418196829e1+/-0.98e-30 absolute error 0.80915464156112e-21+/-0.167e-29 relative error 0.2751125781307808e-19+/-0.567e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.850e-31 y[1] (closed_form) 0.30303030303030303030303030303030303e1+/-0.781e-30 y[1] (numeric) 0.303030303030303030302936285885216078e1+/-0.108e-29 absolute error 0.94017145086952e-21+/-0.186e-29 relative error 0.3102565787869416e-19+/-0.613e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.900e-31 y[1] (closed_form) 0.3125e1+/-0.879e-30 y[1] (numeric) 0.31249999999999999999989083807932366e1+/-0.118e-29 absolute error 0.10916192067634e-20+/-0.205e-29 relative error 0.349318146164288e-19+/-0.656e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.950e-31 y[1] (closed_form) 0.32258064516129032258064516129032258e1+/-0.989e-30 y[1] (numeric) 0.322580645161290322580518436247193068e1+/-0.128e-29 absolute error 0.126725043129512e-20+/-0.226e-29 relative error 0.3928476337014872e-19+/-0.7e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Finished! diff ( y , x , 1 ) = y * y ; Iterations 200 Total Elapsed Time 45 Seconds Elapsed Time(since restart) 45 Seconds Time to Timeout 2 Minutes 15 Seconds Percent Done 0.1005e3+/-0.502e-28%