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/sin_lg_hpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   ; 
!
#BEGIN FIRST INPUT BLOCK
#  ELIMINATED in preodein.rb
# Digits:=16; ELIMINATED in preodein.rb
max_terms=40 
#  ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#  ELIMINATED in preodein.rb
x_start=c(0.0) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=false 
$glob_max_h=c(1.0) 
$glob_min_h=c(1.0) 
$glob_display_interval=c(1.0) 
#  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
#  ELIMINATED in preodein.rb
$glob_type_given_pole=3 
#  ELIMINATED in preodein.rb
#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_y (x)
x = c(x)

return(c(2.0) - cos(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-31 
y[1] (closed_form)               0.1e1+/-0.55e-31 
y[1] (numeric)                   0.1e1+/-0.155e-30 
absolute error                   0.0e0+/-0.210e-30 
relative error                   0.0e0+/-0.2100000000000000000000000000000231e-28%
Desired digits                   8 
Estimated correct digits         14 
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
 
TOP MAIN SOLVE Loop
x[1]                             0.1e1+/-0.20e-99 
y[1] (closed_form)               0.1459697694131860282599063392557023e1+/-0.153e-30 
y[1] (numeric)                   0.1459697694131860282617336925534977e1+/-0.227e-29 
absolute error                   0.18273532977954e-19+/-0.242e-29 
relative error                   0.1251871058741514959478147362780137e-17+/-0.165e-27%
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
 
TOP MAIN SOLVE Loop
x[1]                             0.2e1+/-0.40e-99 
y[1] (closed_form)               0.241614683654714238699756822950074e1+/-0.667e-30 
y[1] (numeric)                   0.2416146836547142387055614853235229e1+/-0.743e-29 
absolute error                   0.58046623734489e-19+/-0.809e-29 
relative error                   0.2402446029209137000043520226254189e-17+/-0.334e-27%
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
 
TOP MAIN SOLVE Loop
x[1]                             0.3e1+/-0.60e-99 
y[1] (closed_form)               0.2989992496600445457271572794731239e1+/-0.257e-29 
y[1] (numeric)                   0.2989992496600445457354324870782269e1+/-0.117e-28 
absolute error                   0.8275207605103e-19+/-0.142e-28 
relative error                   0.2767634906947668203357604862723061e-17+/-0.474e-27%
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
 
TOP MAIN SOLVE Loop
x[1]                             0.4e1+/-0.80e-99 
y[1] (closed_form)               0.265364362086361191463916818309775e1+/-0.924e-29 
y[1] (numeric)                   0.2653643620863611914708843994100543e1+/-0.137e-28 
absolute error                   0.69675811002793e-19+/-0.229e-28 
relative error                   0.2625665724477254333225710144635769e-17+/-0.862e-27%
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
Finished!
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   ; 
Iterations                      100 
Total Elapsed Time              1 Minutes 15 Seconds
Elapsed Time(since restart)     1 Minutes 15 Seconds
Time to Timeout                 18 Minutes 45 Seconds
Percent Done                    0.101e3+/-0.605e-29%