##############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=0.0 
x_end=5.0 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=false 
$glob_max_h=1.0 
$glob_min_h=1.0 
$glob_display_interval=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=16 
$glob_max_minutes=3.0 
$glob_subiter_method=3 
$glob_max_iter=100000000 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK

def exact_soln_y (x)

return(2.0 - cos(x)) 

end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                      0.0
min_size                      1.0
$glob_desired_digits_correct  16
estimated_h                   1.0
estimated_answer              1.0
desired_abs_gbl_error         1.0e-16
range                         5.0
estimated_steps               5.0
step_error                    1.1180339887498949e-18
est_needed_step_err           1.1180339887498949e-18
opt_iter                        1
SETTING H FOR MAX H
SETTING H FOR DISPLAY INTERVAL
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             0.0 
y[1] (closed_form)               1.0 
y[1] (numeric)                   1.0 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   16 
Estimated correct digits         14 
Correct digits                   16 
h                                0.5 
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]                             0.5 
y[1] (closed_form)               1.1224174381096272 
y[1] (numeric)                   1.1224174381096272 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   16 
Estimated correct digits         14 
Correct digits                   16 
h                                0.5 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.4207354924039481 
Order of pole (three term test)                   32.22984884706593 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.5 
y[1] (closed_form)               1.9292627983322972 
y[1] (numeric)                   1.9292627983322972 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   16 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.07056000402993359 
Order of pole (three term test)                   32.994996248300225 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             2.5 
y[1] (closed_form)               2.8011436155469336 
y[1] (numeric)                   2.801143615546934 
absolute error                   4.440892098500626e-16 
relative error                   1.585385366838296e-14%
Desired digits                   16 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.4794621373315692 
Order of pole (three term test)                   32.358168907268386 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             3.5 
y[1] (closed_form)               2.9364566872907965 
y[1] (numeric)                   2.9364566872907965 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   16 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.32849329935939453 
Order of pole (three term test)                   32.12304887282835 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             4.5 
y[1] (closed_form)               2.21079579943078 
y[1] (numeric)                   2.21079579943078 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   16 
Estimated correct digits         13 
Correct digits                   16 
h                                1.0 
SETTING H FOR POLE
SETTING H FOR MIN H
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.20605924262087824 
Order of pole (three term test)                   32.95556513094234 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   ; 
Iterations                      6 
Total Elapsed Time              0 Seconds
Elapsed Time(since restart)     0 Seconds
Time to Timeout                 3 Minutes 0.0 Seconds
Percent Done                    130.0%