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/sqrt_sqrtpostode.ode################# diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(0.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $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 $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-2.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.5) # 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=true $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(0.8) * (c(x) + c(2.0)) * sqrt(sqrt(c(0.1) * c(x) + c(0.2)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-33 y[1] (closed_form) 0.113727136785568301911148749195672595e1+/-0.82e-31 y[1] (numeric) 0.113727136785568301911148749195672595e1+/-0.825e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1645e-30 relative error 0.0e0+/-0.144644457470307694763288594337077448e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.209999999999999999999999999999999952e1+/-0.554e-30 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21000000000000040666500000000078699e1+/-0.625e-28 Order of pole (three term test) 0.124999999999993946862499999988335443e1+/-0.754e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.114404486494427487610682956433181748e1+/-0.152e-30 y[1] (numeric) 0.114404486494427487610682956911086535e1+/-0.986e-31 absolute error 0.477904787e-26+/-0.25e-30 relative error 0.417732557213373094861035998859253064e-24+/-0.218e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.210999999999999999999999999999999952e1+/-0.105e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21100000000000040860150000000079086e1+/-0.66e-28 Order of pole (three term test) 0.12499999999999394686249999998832925e1+/-0.793e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.115082639228597444953586383581197973e1+/-0.223e-30 y[1] (numeric) 0.115082639228597444953586384533059207e1+/-0.1e-30 absolute error 0.951861234e-26+/-0.323e-30 relative error 0.827111057219712572169240207580564217e-24+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.211999999999999999999999999999999949e1+/-0.154e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21200000000000041053800000000079372e1+/-0.69e-28 Order of pole (three term test) 0.124999999999993946862499999988348355e1+/-0.828e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.115761592145489887575484168088435688e1+/-0.293e-30 y[1] (numeric) 0.115761592145489887575484169510356243e1+/-0.1e-30 absolute error 0.1421920555e-25+/-0.393e-30 relative error 0.122831807048137470343988665820098556e-23+/-0.339e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.212999999999999999999999999999999946e1+/-0.204e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21300000000000041247450000000079763e1+/-0.729e-28 Order of pole (three term test) 0.12499999999999394686249999998834279e1+/-0.868e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.116441342425885108509523630520699883e1+/-0.363e-30 y[1] (numeric) 0.116441342425885108509523632408832644e1+/-0.1e-30 absolute error 0.1888132761e-25+/-0.463e-30 relative error 0.162153125484773256544560780514945733e-23+/-0.397e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.213999999999999999999999999999999951e1+/-0.254e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21400000000000041441100000000080211e1+/-0.766e-28 Order of pole (three term test) 0.12499999999999394686249999998833139e1+/-0.91e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.11712188727363150286268903479053658e1+/-0.436e-30 y[1] (numeric) 0.117121887273631502862689037141083678e1+/-0.1e-30 absolute error 0.2350547098e-25+/-0.536e-30 relative error 0.200692385745836223380420120805623902e-23+/-0.457e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.21499999999999999999999999999999994e1+/-0.303e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21500000000000041634750000000080497e1+/-0.797e-28 Order of pole (three term test) 0.124999999999993946862499999988345934e1+/-0.945e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.117803223915350334526517637895174534e1+/-0.508e-30 y[1] (numeric) 0.117803223915350334526517640704386522e1+/-0.1e-30 absolute error 0.2809211988e-25+/-0.608e-30 relative error 0.238466477795090799654125306660039512e-23+/-0.516e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.215999999999999999999999999999999942e1+/-0.352e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21600000000000041828400000000080883e1+/-0.833e-28 Order of pole (three term test) 0.124999999999993946862499999988344087e1+/-0.971e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.11848534960014563153254181825059053e1+/-0.577e-30 y[1] (numeric) 0.118485349600145631532541821514765537e1+/-0.1e-30 absolute error 0.3264175007e-25+/-0.677e-30 relative error 0.275491866126543291199717961364580881e-23+/-0.571e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.216999999999999999999999999999999948e1+/-0.401e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21700000000000042022050000000081224e1+/-0.87e-28 Order of pole (three term test) 0.124999999999993946862499999988347595e1+/-0.101e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.119168261599319097722188309408159126e1+/-0.652e-30 y[1] (numeric) 0.119168261599319097722188313123641947e1+/-0.1e-30 absolute error 0.3715482821e-25+/-0.752e-30 relative error 0.311784595255120301604666585418420169e-23+/-0.631e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.217999999999999999999999999999999944e1+/-0.453e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2180000000000004221570000000008157e1+/-0.9e-28 Order of pole (three term test) 0.124999999999993946862499999988351296e1+/-0.104e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) 0.119851957206089931365485186056203669e1+/-0.719e-30 y[1] (numeric) 0.119851957206089931365485190219385087e1+/-0.1e-30 absolute error 0.4163181418e-25+/-0.819e-30 relative error 0.347360319768600320308463322980046171e-23+/-0.683e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.218999999999999999999999999999999946e1+/-0.503e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21900000000000042409350000000081973e1+/-0.932e-28 Order of pole (three term test) 0.124999999999993946862499999988348819e1+/-0.108e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) 0.120536433735319444236116605375256384e1+/-0.792e-30 y[1] (numeric) 0.120536433735319444236116609982572346e1+/-0.1e-30 absolute error 0.4607315962e-25+/-0.892e-30 relative error 0.382234302046549572701817385165615141e-23+/-0.74e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.21999999999999999999999999999999995e1+/-0.554e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22000000000000042603000000000082378e1+/-0.978e-28 Order of pole (three term test) 0.124999999999993946862499999988342303e1+/-0.112e-24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) 0.121221688523240377435347180283873021e1+/-0.862e-30 y[1] (numeric) 0.121221688523240377435347185331803817e1+/-0.1e-30 absolute error 0.5047930796e-25+/-0.962e-30 relative error 0.416421422395235890245585738208854989e-23+/-0.793e-28% Desired digits 8 Estimated correct digits 12 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.220999999999999999999999999999999937e1+/-0.603e-29 Order of pole (given) 0.5e0+/-0.50e-33 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2210000000000004279665000000008267e1+/-0.997e-28 Order of pole (three term test) 0.124999999999993946862499999988353168e1+/-0.114e-24 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations 112 Total Elapsed Time 3 Minutes 5 Seconds Elapsed Time(since restart) 3 Minutes 5 Seconds Expected Time Remaining 7 Minutes 49 Seconds Optimized Time Remaining 7 Minutes 49 Seconds Expected Total Time 10 Minutes 54 Seconds Time to Timeout 0.0 Seconds Percent Done 0.2825e2+/-0.144e-28%