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/arcsin_sin_m0d5_0d5postode.ode#################
diff  (  y  ,  x  ,  1  )   =   arcsin  ( sin ( 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(-0.5) 
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]                             -0.5e0+/-0.50e-32 
y[1] (closed_form)               0.125e0+/-0.253e-32 
y[1] (numeric)                   0.125e0+/-0.265e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.518e-32 
relative error                   0.0e0+/-0.414400000000000000000000000000016774e-29%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.49e0+/-0.100e-31 
y[1] (closed_form)               0.12005e0+/-0.493e-32 
y[1] (numeric)                   0.120050000900382469303241158214596995e0+/-0.627e-32 
absolute error                   0.900382469303241158214596995e-9+/-0.112e-31 
relative error                   0.750006221826939740287044560599750104e-6+/-0.932e-29%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.48e0+/-0.150e-31 
y[1] (closed_form)               0.1152e0+/-0.722e-32 
y[1] (numeric)                   0.1152000017793444724504391483034987e0+/-0.1e-31 
absolute error                   0.17793444724504391483034987e-8+/-0.172e-31 
relative error                   0.154456985455767287179123151041666666e-5+/-0.149e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.47e0+/-0.200e-31 
y[1] (closed_form)               0.11045e0+/-0.942e-32 
y[1] (numeric)                   0.110450002637110875529880181793637524e0+/-0.12e-31 
absolute error                   0.2637110875529880181793637524e-8+/-0.214e-31 
relative error                   0.238760604393832519854562021186057039e-5+/-0.193e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.46e0+/-0.250e-31 
y[1] (closed_form)               0.1058e0+/-0.115e-31 
y[1] (numeric)                   0.105800003473898848442632855383360872e0+/-0.14e-31 
absolute error                   0.3473898848442632855383360872e-8+/-0.255e-31 
relative error                   0.328345826884936942852869647637051039e-5+/-0.241e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.45e0+/-0.300e-31 
y[1] (closed_form)               0.10125e0+/-0.135e-31 
y[1] (numeric)                   0.101250004289918107827749198224221747e0+/-0.16e-31 
absolute error                   0.4289918107827749198224221747e-8+/-0.295e-31 
relative error                   0.423695615587925846738194740444444444e-5+/-0.291e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.44e0+/-0.350e-31 
y[1] (closed_form)               0.968e-1+/-0.154e-31 
y[1] (numeric)                   0.968000050853711484252950280245821584e-1+/-0.18e-31 
absolute error                   0.50853711484252950280245821584e-8+/-0.334e-31 
relative error                   0.525348259134844527688489892396694214e-5+/-0.345e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.43e0+/-0.400e-31 
y[1] (closed_form)               0.9245e-1+/-0.172e-31 
y[1] (numeric)                   0.924500058604534634652001156932798352e-1+/-0.2e-31 
absolute error                   0.58604534634652001156932798352e-8+/-0.372e-31 
relative error                   0.633905188043829109323231999480800432e-5+/-0.402e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.42e0+/-0.450e-31 
y[1] (closed_form)               0.882e-1+/-0.189e-31 
y[1] (numeric)                   0.882000066153537546331849893147792582e-1+/-0.22e-31 
absolute error                   0.66153537546331849893147792582e-8+/-0.409e-31 
relative error                   0.750040108235054987450655244693877551e-5+/-0.463e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.41e0+/-0.500e-31 
y[1] (closed_form)               0.8405e-1+/-0.205e-31 
y[1] (numeric)                   0.840500073502541321307995405463927054e-1+/-0.24e-31 
absolute error                   0.73502541321307995405463927054e-8+/-0.445e-31 
relative error                   0.87450971232966086145703660980368828e-5+/-0.529e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.4e0+/-0.550e-31 
y[1] (closed_form)               0.8e-1+/-0.22e-31 
y[1] (numeric)                   0.800000080653303053147034738490702225e-1+/-0.26e-31 
absolute error                   0.80653303053147034738490702225e-8+/-0.48e-31 
relative error                   0.10081662881643379342311337778125e-4+/-0.6e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.39e0+/-0.600e-31 
y[1] (closed_form)               0.7605e-1+/-0.234e-31 
y[1] (numeric)                   0.760500087607517643705511642697493863e-1+/-0.272e-31 
absolute error                   0.87607517643705511642697493863e-8+/-0.506e-31 
relative error                   0.115197261858915860148188683580539119e-4+/-0.665e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.38e0+/-0.650e-31 
y[1] (closed_form)               0.722e-1+/-0.247e-31 
y[1] (numeric)                   0.722000094366819534490497840208762603e-1+/-0.282e-31 
absolute error                   0.94366819534490497840208762603e-8+/-0.529e-31 
relative error                   0.130701966114252767091701887261772853e-4+/-0.732e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.37e0+/-0.700e-31 
y[1] (closed_form)               0.6845e-1+/-0.259e-31 
y[1] (numeric)                   0.684500100932784356657893749238826523e-1+/-0.292e-31 
absolute error                   0.100932784356657893749238826523e-7+/-0.551e-31 
relative error                   0.147454761660566681883475276147552958e-4+/-0.804e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.36e0+/-0.750e-31 
y[1] (closed_form)               0.648e-1+/-0.27e-31 
y[1] (numeric)                   0.648000107306930503421590191565097121e-1+/-0.302e-31 
absolute error                   0.107306930503421590191565097121e-7+/-0.572e-31 
relative error                   0.165597114974416034246242433828703703e-4+/-0.882e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   arcsin  ( sin ( x )  )   ; 
Iterations                      142 
Total Elapsed Time              3 Minutes 1 Seconds
Elapsed Time(since restart)     3 Minutes 1 Seconds
Expected Time Remaining         18 Minutes 4 Seconds
Optimized Time Remaining        18 Minutes 4 Seconds
Expected Total Time             21 Minutes 5 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.143e2+/-0.822e-29%