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/expt_sin_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(0.2) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#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(-2.5000000000000000000000000000000)*sin(c(0.20000000000000000000000000000000)*c(x)+c(0.30000000000000000000000000000000))*cos(c(0.20000000000000000000000000000000)*c(x)+c(0.30000000000000000000000000000000))+c(0.50000000000000000000000000000000)*c(x)+c(0.75000000000000000000000000000000)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-33 
y[1] (closed_form)               0.53505698297009935145567200990092e-1+/-0.451e-32 
y[1] (numeric)                   0.53505698297009935145567200990092e-1+/-0.455e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.906e-32 
relative error                   0.0e0+/-0.169327759254873624961696009502720968e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.11e0+/-0.550e-32 
y[1] (closed_form)               0.5450120214864104379912223814112419e-1+/-0.951e-32 
y[1] (numeric)                   0.545012020285751090324107295800026884e-1+/-0.546e-32 
absolute error                   0.1200659347667115085611215016e-9+/-0.149e-31 
relative error                   0.220299608143056866033717356610680774e-6+/-0.273e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.12e0+/-0.105e-31 
y[1] (closed_form)               0.5550871396502714171415360299656271e-1+/-0.145e-31 
y[1] (numeric)                   0.555087137250553463867112506635753764e-1+/-0.64e-32 
absolute error                   0.2399717953274423523329873336e-9+/-0.209e-31 
relative error                   0.43231373632369653292223880640081934e-6+/-0.376e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.13e0+/-0.155e-31 
y[1] (closed_form)               0.5652829762589399367726985549823357e-1+/-0.195e-31 
y[1] (numeric)                   0.5652829726617726382105876326543437e-1+/-0.754e-32 
absolute error                   0.3597167298562110922327992e-9+/-0.27e-31 
relative error                   0.636348068071724777575608273793362971e-6+/-0.477e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.14e0+/-0.205e-31 
y[1] (closed_form)               0.5756001681781811031555969159149272e-1+/-0.245e-31 
y[1] (numeric)                   0.575600163385182212137103246051424302e-1+/-0.877e-32 
absolute error                   0.4792998891018493669863502898e-9+/-0.332e-31 
relative error                   0.832695880925244442128044451144034205e-6+/-0.576e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.15e0+/-0.255e-31 
y[1] (closed_form)               0.5860393503320776423106815075462758e-1+/-0.296e-31 
y[1] (numeric)                   0.586039344344873378294782570384816427e-1+/-0.101e-31 
absolute error                   0.5987204264015898937161459373e-9+/-0.397e-31 
relative error                   0.10216386085035527960890693655551829e-5+/-0.677e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.16e0+/-0.305e-31 
y[1] (closed_form)               0.596601155692871128229389706914302e-1+/-0.346e-31 
y[1] (numeric)                   0.596601148513096151283259165242894364e-1+/-0.111e-31 
absolute error                   0.7179774976946130541671407636e-9+/-0.457e-31 
relative error                   0.120344637425447124230571914300561905e-5+/-0.766e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.17e0+/-0.355e-31 
y[1] (closed_form)               0.6072862152708344405123626287436434e-1+/-0.396e-31 
y[1] (numeric)                   0.607286206900131825156844130493502794e-1+/-0.121e-31 
absolute error                   0.8370702615355518498250140606e-9+/-0.517e-31 
relative error                   0.137837849845190291431614734906552303e-5+/-0.851e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.18e0+/-0.405e-31 
y[1] (closed_form)               0.6180951581041756134649168237933579e-1+/-0.446e-31 
y[1] (numeric)                   0.61809514854419682238536672531333953e-1+/-0.131e-31 
absolute error                   0.955997879107955009848001837e-9+/-0.577e-31 
relative error                   0.154668397992340890883199835309938546e-5+/-0.933e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
NO INFO (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]                             0.19e0+/-0.455e-31 
y[1] (closed_form)               0.6290286112489732381879700081357248e-1+/-0.497e-31 
y[1] (numeric)                   0.629028600501378095810889644107154752e-1+/-0.141e-31 
absolute error                   0.10747595142377080364028570048e-8+/-0.638e-31 
relative error                   0.170860195389794737836907771636945001e-5+/-0.101e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
NO INFO (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!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
Iterations                      100 
Total Elapsed Time              3 Minutes 2 Seconds
Elapsed Time(since restart)     3 Minutes 2 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.101e3+/-0.525e-28%