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/arccos_cos_0d2_0d5postode.ode#################
diff  (  y  ,  x  ,  1  )   =   arccos  ( cos ( x )  )   ; 
!
#BEGIN FIRST INPUT BLOCK
max_terms=30 
# Digits:=32; ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.2) 
x_end=c(0.5) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_display_interval=0.001 
#  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=0 
#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=false 
$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(x)*c(x)/c(2.0)) 

end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.2e0+/-0.50e-33 
y[1] (closed_form)               0.2e-1+/-0.105e-33 
y[1] (numeric)                   0.2e-1+/-0.125e-33 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.230e-33 
relative error                   0.0e0+/-0.115000000000000000000000000000001207e-29%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.21e0+/-0.550e-32 
y[1] (closed_form)               0.2205e-1+/-0.116e-32 
y[1] (numeric)                   0.220500080371931416164775245139007226e-1+/-0.141e-32 
absolute error                   0.80371931416164775245139007226e-8+/-0.257e-32 
relative error                   0.364498555175350454626480758394557823e-4+/-0.116e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.22e0+/-0.105e-31 
y[1] (closed_form)               0.242e-1+/-0.231e-32 
y[1] (numeric)                   0.242000156886193267875112764539836283e-1+/-0.254e-32 
absolute error                   0.156886193267875112764539836283e-7+/-0.485e-32 
relative error                   0.648290054825930218035288579681818181e-4+/-0.2e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.23e0+/-0.155e-31 
y[1] (closed_form)               0.2645e-1+/-0.357e-32 
y[1] (numeric)                   0.264500229881583043813163712265156669e-1+/-0.38e-32 
absolute error                   0.229881583043813163712265156669e-7+/-0.737e-32 
relative error                   0.869117516233698161483044070582230623e-4+/-0.278e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.24e0+/-0.205e-31 
y[1] (closed_form)               0.288e-1+/-0.492e-32 
y[1] (numeric)                   0.288000299653519387470056214552857721e-1+/-0.512e-32 
absolute error                   0.299653519387470056214552857721e-7+/-0.1e-31 
relative error                   0.104046360898427102852275297819791666e-3+/-0.347e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.25e0+/-0.255e-31 
y[1] (closed_form)               0.3125e-1+/-0.635e-32 
y[1] (numeric)                   0.312500366461143708676483762658801883e-1+/-0.645e-32 
absolute error                   0.366461143708676483762658801883e-7+/-0.128e-31 
relative error                   0.11726756598677647480405081660256e-3+/-0.409e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.26e0+/-0.305e-31 
y[1] (closed_form)               0.338e-1+/-0.79e-32 
y[1] (numeric)                   0.338000430533025416655264762563472975e-1+/-0.781e-32 
absolute error                   0.430533025416655264762563472975e-7+/-0.157e-31 
relative error                   0.127376634738655403775906352951183431e-3+/-0.464e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   4 
h                                0.1e-2+/-0.5e-33 
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   arccos  ( cos ( x )  )   ; 
Iterations                      62 
Total Elapsed Time              3 Minutes 4 Seconds
Elapsed Time(since restart)     3 Minutes 4 Seconds
Expected Time Remaining         11 Minutes 32 Seconds
Optimized Time Remaining        11 Minutes 32 Seconds
Expected Total Time             14 Minutes 36 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.21e2+/-0.109e-28%