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/diff2postode.ode#################
diff  (  y  ,  x  ,  3  )   =  neg (  diff  (  y  ,  x  ,  1  )  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(-1.0) 
x_end=c(1.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$array_y_init[1 + 1] = exact_soln_yp(x_start)
$array_y_init[2 + 1] = exact_soln_ypp(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_y (x)
x = c(x)
return(neg(cos(c(x)))) 
end
def exact_soln_yp (x)
x = c(x)
return(sin(c(x))) 
end
def exact_soln_ypp (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]                             -0.1e1+/-0.50e-32 
y[1] (closed_form)               -0.5403023058681397174009366074429766e0+/-0.685e-32 
y[1] (numeric)                   -0.5403023058681397174009366074429766e0+/-0.739e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.1424e-31 
relative error                   0.0e0+/-0.263556158197763807990633661575174472e-29%
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
Radius of convergence (three term test) for eq 1  0.454648713412840936101265566894133302e0+/-0.176e-28 
Order of pole (three term test)                   0.327080734182735709697525339937993373e2+/-0.151e-26 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  3  )   =  neg (  diff  (  y  ,  x  ,  1  )  )   ; 
Iterations                      3 
Total Elapsed Time              7 Minutes 23 Seconds
Elapsed Time(since restart)     7 Minutes 20 Seconds
Expected Time Remaining         2 Days 13 Hours 24 Minutes 17 Seconds
Optimized Time Remaining        2 Days 12 Hours 59 Minutes 20 Seconds
Expected Total Time             2 Days 13 Hours 6 Minutes 43 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.2e0+/-0.6e-30%