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/mtest4postode.ode################# diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; ! #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(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) $array_y2_init[2 + 1] = exact_soln_y2pp(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_y2 (x) x = c(x) return(sin(c(x))) end def exact_soln_y2p (x) x = c(x) return( cos(c(x))) end def exact_soln_y2pp (x) x = c(x) return( neg( sin(c(x)))) end def exact_soln_y1 (x) x = c(x) return( cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-33 y2[1] (closed_form) 0.998334166468281523068141984106220257e-1+/-0.566e-33 y2[1] (numeric) 0.998334166468281523068141984106220257e-1+/-0.664e-33 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1230e-32 relative error 0.0e0+/-0.123205239419107752779088136267593808e-29% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 y1[1] (closed_form) 0.995004165278025766095561987803870286e0+/-0.106e-33 y1[1] (numeric) 0.995004165278025766095561987803870286e0+/-0.11e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1206e-32 relative error 0.0e0+/-0.12120552275909492467289276061818329380819e-30% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ; diff ( y1 , x , 1 ) = neg ( y2 ) ; Iterations 2 Total Elapsed Time 57 Minutes 19 Seconds Elapsed Time(since restart) 57 Minutes 16 Seconds Expected Time Remaining 64 Days 23 Hours 19 Minutes 54 Seconds Optimized Time Remaining 64 Days 21 Hours 58 Minutes 17 Seconds Expected Total Time 64 Days 22 Hours 55 Minutes 36 Seconds Time to Timeout 0.0 Seconds Percent Done 0.612244897959183673469387755102040816e-1+/-0.51e-31%