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=true 
$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 
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
NO POLE (given) for Equation 2
NO POLE (ratio test) for Equation 2
NO REAL POLE (three term test) for Equation 2
NO COMPLEX POLE (six term test) for Equation 2
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              30 Minutes 55 Seconds
Elapsed Time(since restart)     30 Minutes 54 Seconds
Expected Time Remaining         32 Days 4 Hours 24 Minutes 5 Seconds
Optimized Time Remaining        32 Days 3 Hours 59 Minutes 6 Seconds
Expected Total Time             32 Days 4 Hours 30 Minutes 1 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.666666666666666666666666666666666666e-1+/-0.555e-31%