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/mtest4postode.ode#################
diff  (  y2  ,  x  ,  3  )   =  m1  *  cos  (  x  )   ; 
diff  (  y1  ,  x  ,  1  )   =  m1  *  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=(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_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( $glob__m1 * 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-31 
y2[1] (closed_form)              0.9983341664682815230681419841062194e-1+/-0.566e-31 
y2[1] (numeric)                  0.9983341664682815230681419841062194e-1+/-0.664e-31 
absolute error                   0.0e0+/-0.1230e-30 
relative error                   0.0e0+/-0.1232052394191077527790881362677322e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
y1[1] (closed_form)              0.9950041652780257660955619878038697e0+/-0.106e-31 
y1[1] (numeric)                  0.9950041652780257660955619878038697e0+/-0.11e-30 
absolute error                   0.0e0+/-0.1206e-30 
relative error                   0.0e0+/-0.1212055227590949246728927606181859e-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]                             0.2e0+/-0.5e-31 
y2[1] (closed_form)              0.1986693307950612154594126271183887e0+/-0.625e-31 
y2[1] (numeric)                  0.1986693307950612154573181902699421e0+/-0.13e-30 
absolute error                   0.20944368484466e-20+/-0.192e-30 
relative error                   0.1054232598491576676009085614974864e-17+/-0.966e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
y1[1] (closed_form)              0.9800665778412416311241965167481681e0+/-0.182e-31 
y1[1] (numeric)                  0.9800665778412416311237087522415118e0+/-0.414e-30 
absolute error                   0.4877645066563e-21+/-0.432e-30 
relative error                   0.4976850733249998353223219782488275e-19+/-0.44e-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
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y2  ,  x  ,  3  )   =  m1  *  cos  (  x  )   ; 
diff  (  y1  ,  x  ,  1  )   =  m1  *  y2  ; 
Iterations                      3 
Total Elapsed Time              31 Minutes 34 Seconds
Elapsed Time(since restart)     31 Minutes 33 Seconds
Expected Time Remaining         12 Hours 21 Minutes 49 Seconds
Optimized Time Remaining        12 Hours 21 Minutes 25 Seconds
Expected Total Time             12 Hours 52 Minutes 59 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.4081632653061224489795918367346938e1+/-0.232e-29%