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/cospostode.ode#################
diff  (  y  ,  x  ,  1  )   =   cos  (  x  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.0) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=false 
#  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(c(1.0) + sin(c(x))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.0e0+/-0.50e-33 
y[1] (closed_form)               0.1e1+/-0.50e-33 
y[1] (numeric)                   0.1e1+/-0.15e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.200e-32 
relative error                   0.0e0+/-0.2000000000000000000000000000000002e-30%
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
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
 
TOP MAIN SOLVE Loop
x[1]                             0.9999994000001199711886464291467101e-2+/-0.273e-30 
y[1] (closed_form)               0.100999982733446786165445524939877582e1+/-0.271e-30 
y[1] (numeric)                   0.100999982733446786165445526756541174e1+/-0.303e-30 
absolute error                   0.1816663592e-25+/-0.574e-30 
relative error                   0.179867713125697427084976112948600338e-23+/-0.568e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   24 
h                                0.999999333333466634654051587940789055e-4+/-0.313e-32 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.999932734786769811586251132117837239e-2+/-0.197e-28 
Order of pole (three term test)                   0.329999000034532808293871214429132456e2+/-0.811e-25 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.19999987333335866058426980170874991e-1+/-0.573e-30 
y[1] (closed_form)               0.101999865402920219220406744412406978e1+/-0.571e-30 
y[1] (numeric)                   0.101999865402920219220406746395717536e1+/-0.603e-30 
absolute error                   0.1983310558e-25+/-0.117e-29 
relative error                   0.194442468150866651704841494394555243e-23+/-0.114e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   24 
h                                0.999999333333466634654051587940789055e-4+/-0.313e-32 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.199946544367849189976741477537137363e-1+/-0.395e-28 
Order of pole (three term test)                   0.32999600053837020274948072692329953e2+/-0.811e-25 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   cos  (  x  )   ; 
Iterations                      290 
Total Elapsed Time              3 Minutes 0 Seconds
Elapsed Time(since restart)     3 Minutes 0 Seconds
Expected Time Remaining         8 Hours 17 Minutes 0 Seconds
Optimized Time Remaining        8 Hours 17 Minutes 0 Seconds
Expected Total Time             8 Hours 20 Minutes 0 Seconds
Time to Timeout                 0 Seconds
Percent Done                    0.59999961333341064809934992100565762e0+/-0.174e-28%