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=true 
$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 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.993346653975306123455731434748163608e-1+/-0.287e-29 
Order of pole (three term test)                   0.329900332889206208144253765720156296e2+/-0.119e-26 
NO COMPLEX POLE (six term test) for Equation 1
NO POLE (given) for Equation 2
NO POLE (ratio test) for Equation 2
Radius of convergence (three term test) for eq 2  0.99334665397530615239067776612090824e-1+/-0.287e-29 
Order of pole (three term test)                   0.320099667110793791864371899465148461e2+/-0.116e-26 
NO COMPLEX POLE (six term test) for Equation 2
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              56 Minutes 55 Seconds
Elapsed Time(since restart)     56 Minutes 52 Seconds
Expected Time Remaining         64 Days 12 Hours 26 Minutes 58 Seconds
Optimized Time Remaining        64 Days 11 Hours 5 Minutes 21 Seconds
Expected Total Time             64 Days 12 Hours 2 Minutes 16 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.612244897959183673469387755102040816e-1+/-0.51e-31%