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/sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=16; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(1.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=false # 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=3 # 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=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(2.0) - cos(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) 0.1e1+/-0.55e-33 y[1] (numeric) 0.1e1+/-0.155e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.210e-32 relative error 0.0e0+/-0.210000000000000000000000000000000231e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 0.99999940000012002698849762926574908e-2+/-0.273e-30 y[1] (closed_form) 0.100004999952333575221633369053631554e1+/-0.326e-32 y[1] (numeric) 0.100004999952333575221633369054449e1+/-0.74e-31 absolute error 0.817446e-29+/-0.772e-31 relative error 0.817405130133121145432142455092540828e-27+/-0.771e-29% Desired digits 8 Estimated correct digits 13 Correct digits 28 h 0.99999933333346669665388625473972124e-4+/-0.313e-32 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.99993273478676992935837356642835994e-2+/-0.196e-28 Order of pole (three term test) 0.320000999965467191706364361085278159e2+/-0.783e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.199999873333358672364238388400547008e-1+/-0.573e-30 y[1] (closed_form) 0.100019999308010590768591497375561014e1+/-0.119e-31 y[1] (numeric) 0.10001999930801059076859149737886997e1+/-0.1e-30 absolute error 0.3308956e-28+/-0.111e-30 relative error 0.33082943640202425767043188333238729e-26+/-0.11e-28% Desired digits 8 Estimated correct digits 13 Correct digits 27 h 0.99999933333346669665388625473972124e-4+/-0.313e-32 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19994654436784921413405709476364555e-1+/-0.395e-28 Order of pole (three term test) 0.32000399946162979725148608077453223e2+/-0.783e-25 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) ; Iterations 281 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 2 Minutes 59 Seconds Expected Time Remaining 1 Hours 40 Minutes 5 Seconds Optimized Time Remaining 1 Hours 39 Minutes 32 Seconds Expected Total Time 1 Hours 42 Minutes 32 Seconds Time to Timeout 0 Seconds Percent Done 0.290999812666704141759742037581861619e1+/-0.846e-28%