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/mtest5postode.ode################# diff ( y1 , x , 1 ) = neg ( y2 ) ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.5) x_end=c(5.0) $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $array_y2_init[1 + 1] = exact_soln_y2p(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=3 #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_y1 (x) x = c(x) return(neg(cos(c(x)))) end def exact_soln_y2 (x) x = c(x) return(neg(sin(c(x)))) end def exact_soln_y2p (x) x = c(x) return(neg(cos(c(x)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.50e-33 y1[1] (closed_form) -0.87758256189037271611628158260382965e0+/-0.528e-33 y1[1] (numeric) -0.87758256189037271611628158260382965e0+/-0.14e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.1e-35+/-0.192e-32 relative error 0.113949392732454912231332776820494992e-33+/-0.218e-30% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) -0.47942553860420300027328793521557137e0+/-0.742e-33 y2[1] (numeric) -0.47942553860420300027328793521557137e0+/-0.122e-32 absolute error 0.6e-35+/-0.196e-32 relative error 0.125149778576009291146350100527557421e-32+/-0.408e-30% Desired digits 8 Estimated correct digits 13 Correct digits 33 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y1 , x , 1 ) = neg ( y2 ) ; diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ; Iterations 2 Total Elapsed Time 31 Minutes 25 Seconds Elapsed Time(since restart) 31 Minutes 24 Seconds Expected Time Remaining 32 Days 16 Hours 53 Minutes 35 Seconds Optimized Time Remaining 32 Days 16 Hours 28 Minutes 36 Seconds Expected Total Time 32 Days 17 Hours 0 Minutes 1 Seconds Time to Timeout 0.0 Seconds Percent Done 0.666666666666666666666666666666666666e-1+/-0.555e-31%