Initializing...
Initialized
Initializing(2)...
PI = 0.3141592653589793238462643383279486e1+/-0.313e-31
E = 0.2718281828459045235360287471352649e1+/-0.256e-30
LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30
Initialized(2)
##############ECHO OF PROBLEM#################
##############temp/mtest5postode.ode#################
diff  (  y1  ,  x  ,  1  )   =  m1  *  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=(20.0) 
$glob_subiter_method=3 
$glob_max_iter=1000 
$glob_upper_ratio_limit=c(1.11) 
$glob_lower_ratio_limit=c(0.99) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y1 (x)
x = c(x)
return($glob__m1 * cos(c(x))) 
end
def exact_soln_y2 (x)
x = c(x)
return($glob__m1 * sin(c(x))) 
end
def exact_soln_y2p (x)
x = c(x)
return($glob__m1 * 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-31 
y1[1] (closed_form)              -0.877582561890372716116281582603829e0+/-0.966e-31 
y1[1] (numeric)                  -0.877582561890372716116281582603829e0+/-0.183e-30 
absolute error                   0.0e0+/-0.2796e-30 
relative error                   0.0e0+/-0.3186025020799439345988064439901743e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
y2[1] (closed_form)              -0.47942553860420300027328793521557e0+/-0.981e-31 
y2[1] (numeric)                  -0.47942553860420300027328793521557e0+/-0.145e-30 
absolute error                   0.0e0+/-0.2431e-30 
relative error                   0.0e0+/-0.5070651861971309779612951573043624e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
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
 
TOP MAIN SOLVE Loop
x[1]                             0.6e0+/-0.5e-31 
y1[1] (closed_form)              -0.825335614909678297240952498955375e0+/-0.109e-30 
y1[1] (numeric)                  -0.826165125214541097171202275321816e0+/-0.551e-30 
absolute error                   0.829510304862799930249776366441e-3+/-0.660e-30 
relative error                   0.1005058172551512266638978776309578e0+/-0.799e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
y2[1] (closed_form)              -0.564642473395035357200945445658656e0+/-0.103e-30 
y2[1] (numeric)                  -0.53949301991358968825459717154288e0+/-0.467e-30 
absolute error                   0.25149453481445668946348274115776e-1+/-0.570e-30 
relative error                   0.4454049184474048561443485110466929e1+/-0.101e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
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
 
TOP MAIN SOLVE Loop
x[1]                             0.7e0+/-0.5e-31 
y1[1] (closed_form)              -0.764842187284488426255859990191864e0+/-0.125e-30 
y1[1] (numeric)                  -0.771649670880395438876466998528645e0+/-0.942e-30 
absolute error                   0.6807483595907012620607008336781e-2+/-0.106e-29 
relative error                   0.8900507462953166389072266180923827e0+/-0.138e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   3 
h                                0.5e-1+/-0.1e-100 
y2[1] (closed_form)              -0.644217687237691053672614351398718e0+/-0.107e-30 
y2[1] (numeric)                  -0.54080467220933940003725684062336e0+/-0.103e-29 
absolute error                   0.103413015028351653635357510775358e0+/-0.113e-29 
relative error                   0.160524954649679321865508790965276e2+/-0.178e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   2 
h                                0.5e-1+/-0.1e-100 
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  )   =  m1  *  y2  ; 
diff  (  y2  ,  x  ,  2  )   =  diff  (  y1 ,  x  ,  1 )   ; 
Iterations                      5 
Total Elapsed Time              26 Minutes 38 Seconds
Elapsed Time(since restart)     26 Minutes 37 Seconds
Expected Time Remaining         6 Hours 12 Minutes 52 Seconds
Optimized Time Remaining        6 Hours 12 Minutes 38 Seconds
Expected Total Time             6 Hours 39 Minutes 16 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.6666666666666666666666666666666666e1+/-0.27e-29%