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/expt_sin_sinpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.1  *  x )   ,  sin ( 0.2  *  x )  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  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=(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(0.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.0e0+/-0.50000000000000000000000000000005e-31 
absolute error                   0.0e0+/-0.50e-31 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         -16 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.8898522431942701902132992643786049e-1+/-0.437e-31 
absolute error                   0.8898522431942701902132992643786049e-1+/-0.437e-31 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1727690323803435343672638815403309e0+/-0.114e-30 
absolute error                   0.1727690323803435343672638815403309e0+/-0.114e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2523719036695419981325289397934342e0+/-0.206e-30 
absolute error                   0.2523719036695419981325289397934342e0+/-0.206e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.3284703163417728142815133185816455e0+/-0.348e-30 
absolute error                   0.3284703163417728142815133185816455e0+/-0.348e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.4015628835660514468381646409948554e0+/-0.523e-30 
absolute error                   0.4015628835660514468381646409948554e0+/-0.523e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.472038565050053843406101285492185e0+/-0.662e-30 
absolute error                   0.472038565050053843406101285492185e0+/-0.662e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.540212047775543114865623397977233e0+/-0.894e-30 
absolute error                   0.540212047775543114865623397977233e0+/-0.894e-30 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.9e0+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.6063445897656757645343236166019696e0+/-0.106e-29 
absolute error                   0.6063445897656757645343236166019696e0+/-0.106e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.6706573572001772423373544518930766e0+/-0.114e-29 
absolute error                   0.6706573572001772423373544518930766e0+/-0.114e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.7333404728500465693937617392194563e0+/-0.126e-29 
absolute error                   0.7333404728500465693937617392194563e0+/-0.126e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.7945594302525771342795980589869302e0+/-0.15e-29 
absolute error                   0.7945594302525771342795980589869302e0+/-0.15e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.8544597987412602596374871397117277e0+/-0.168e-29 
absolute error                   0.8544597987412602596374871397117277e0+/-0.168e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.9131707708332696599213214419269767e0+/-0.186e-29 
absolute error                   0.9131707708332696599213214419269767e0+/-0.186e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.9708078978109412118693099654156854e0+/-0.204e-29 
absolute error                   0.9708078978109412118693099654156854e0+/-0.204e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1027475239457840063856382273105388e1+/-0.229e-29 
absolute error                   0.1027475239457840063856382273105388e1+/-0.229e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1083267080701539156805431141497571e1+/-0.261e-29 
absolute error                   0.1083267080701539156805431141497571e1+/-0.261e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1138269321434949992948984876638463e1+/-0.283e-29 
absolute error                   0.1138269321434949992948984876638463e1+/-0.283e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1192560615290234152715277908392397e1+/-0.32e-29 
absolute error                   0.1192560615290234152715277908392397e1+/-0.32e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1246213312554976135528488505791822e1+/-0.368e-29 
absolute error                   0.1246213312554976135528488505791822e1+/-0.368e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1299294248182018842718360306372012e1+/-0.429e-29 
absolute error                   0.1299294248182018842718360306372012e1+/-0.429e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1351865405781608175811952635318289e1+/-0.485e-29 
absolute error                   0.1351865405781608175811952635318289e1+/-0.485e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1403984481236238466631025546555641e1+/-0.512e-29 
absolute error                   0.1403984481236238466631025546555641e1+/-0.512e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.145570536426846670396437972038451e1+/-0.561e-29 
absolute error                   0.145570536426846670396437972038451e1+/-0.561e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1507078552342217183145535141370616e1+/-0.631e-29 
absolute error                   0.1507078552342217183145535141370616e1+/-0.631e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.155815150829972782420544881541624e1+/-0.681e-29 
absolute error                   0.155815150829972782420544881541624e1+/-0.681e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1608968970862365701698733292652216e1+/-0.734e-29 
absolute error                   0.1608968970862365701698733292652216e1+/-0.734e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1659573225367727631598668965412904e1+/-0.814e-29 
absolute error                   0.1659573225367727631598668965412904e1+/-0.814e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1710004340745622263551546384018864e1+/-0.894e-29 
absolute error                   0.1710004340745622263551546384018864e1+/-0.894e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1760300377656679591326396839159741e1+/-0.942e-29 
absolute error                   0.1760300377656679591326396839159741e1+/-0.942e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1810497571860210107602461227107465e1+/-0.999e-29 
absolute error                   0.1810497571860210107602461227107465e1+/-0.999e-29 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1860630496191472876202271575190423e1+/-0.1e-28 
absolute error                   0.1860630496191472876202271575190423e1+/-0.1e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1910732203974627480297502807336205e1+/-0.1e-28 
absolute error                   0.1910732203974627480297502807336205e1+/-0.1e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.1960834356247645931093495605523243e1+/-0.1e-28 
absolute error                   0.1960834356247645931093495605523243e1+/-0.1e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2010967334807520359384502020408268e1+/-0.101e-28 
absolute error                   0.2010967334807520359384502020408268e1+/-0.101e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2061160342781468439834189972294193e1+/-0.103e-28 
absolute error                   0.2061160342781468439834189972294193e1+/-0.103e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2111441494179546099240047497361398e1+/-0.107e-28 
absolute error                   0.2111441494179546099240047497361398e1+/-0.107e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2161837893676013760401393406240105e1+/-0.111e-28 
absolute error                   0.2161837893676013760401393406240105e1+/-0.111e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2212375707693022767186616273420326e1+/-0.115e-28 
absolute error                   0.2212375707693022767186616273420326e1+/-0.115e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.226308022771440676202835043804388e1+/-0.12e-28 
absolute error                   0.226308022771440676202835043804388e1+/-0.12e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2313975926634573093441992207084711e1+/-0.124e-28 
absolute error                   0.2313975926634573093441992207084711e1+/-0.124e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2365086508843681259516217777997619e1+/-0.128e-28 
absolute error                   0.2365086508843681259516217777997619e1+/-0.128e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2416434954662236769429756828014524e1+/-0.132e-28 
absolute error                   0.2416434954662236769429756828014524e1+/-0.132e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2468043559663300238233835810380952e1+/-0.136e-28 
absolute error                   0.2468043559663300238233835810380952e1+/-0.136e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2519933969356578922832840342587299e1+/-0.14e-28 
absolute error                   0.2519933969356578922832840342587299e1+/-0.14e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2572127209653983654250630608473831e1+/-0.147e-28 
absolute error                   0.2572127209653983654250630608473831e1+/-0.147e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2624643713489360062496963240610173e1+/-0.151e-28 
absolute error                   0.2624643713489360062496963240610173e1+/-0.151e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.2677503343924849967285340404834928e1+/-0.158e-28 
absolute error                   0.2677503343924849967285340404834928e1+/-0.158e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.0e0+/-0.50e-31 
y[1] (numeric)                   0.273072541404171897958069169336535e1+/-0.162e-28 
absolute error                   0.273072541404171897958069169336535e1+/-0.162e-28 
relative error                   -0.1e1+/-0.50e-31%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   -16 
h                                0.5e-1+/-0.1e-100 
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!
diff  (  y  ,  x  ,  1  )   =   expt ( sin ( 0.1  *  x )   ,  sin ( 0.2  *  x )  )  ; 
Iterations                      98 
Total Elapsed Time              4 Minutes 48 Seconds
Elapsed Time(since restart)     4 Minutes 48 Seconds
Time to Timeout                 15 Minutes 12 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%