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/lin_arccospostode.ode#################
diff  (  y  ,  x  ,  1  )   =   arccos ( 0.1  *  x  +  0.2 )   ; 
!
#BEGIN FIRST INPUT BLOCK
max_terms=30 
# Digits:=32; ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(-0.8) 
x_end=c(0.8) 
$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 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(1.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(1.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
#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(10.0) *  (c(0.1) * c(x) + c(0.2)) * arccos(c(0.1) * c(x) + c(0.2) )-c(10.0) * sqrt(c(1.0) - expt((c(0.1) * c(x) + c(0.2)) , c(2) ))) 
end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             -0.8e0+/-0.50e-30 
y[1] (closed_form)               -0.81871311835125550194134248888546e1+/-0.391e-28 
y[1] (numeric)                   -0.81871311835125550194134248888546e1+/-0.399e-28 
absolute error                   0.0e0+/-0.790e-28 
relative error                   0.0e0+/-0.9649289626516811141238423768281904e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
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-30 
y[1] (closed_form)               -0.804258438727881820382816707397622e1+/-0.405e-28 
y[1] (numeric)                   -0.804258433450700673898074280968306e1+/-0.431e-28 
absolute error                   0.5277181146484742426429316e-7+/-0.836e-28 
relative error                   0.6561548990187542431380216235751767e-6+/-0.103e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   9 
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-30 
y[1] (closed_form)               -0.789904615867019352536209676990559e1+/-0.42e-28 
y[1] (numeric)                   -0.789904604863770631478090347688642e1+/-0.457e-28 
absolute error                   0.11003248721058119329301917e-6+/-0.877e-28 
relative error                   0.1392984481927691268541654673565425e-5+/-0.111e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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-30 
y[1] (closed_form)               -0.775651788561527836656190906450339e1+/-0.432e-28 
y[1] (numeric)                   -0.775651771377916935009012737520271e1+/-0.478e-28 
absolute error                   0.17183610901647178168930068e-6+/-0.910e-28 
relative error                   0.2215376945564034454688106162388812e-5+/-0.117e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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-30 
y[1] (closed_form)               -0.761500106525367514063250716858305e1+/-0.44e-28 
y[1] (numeric)                   -0.761500082701218695419162465007302e1+/-0.496e-28 
absolute error                   0.23824148818644088251851003e-6+/-0.936e-28 
relative error                   0.3128581153763823536338501290837913e-5+/-0.122e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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-30 
y[1] (closed_form)               -0.747449730536225856227870342054746e1+/-0.451e-28 
y[1] (numeric)                   -0.747449699604993330629997557390467e1+/-0.52e-28 
absolute error                   0.30931232525597872784664279e-6+/-0.971e-28 
relative error                   0.4138235825358794670700543978452771e-5+/-0.129e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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-30 
y[1] (closed_form)               -0.733500832589932194832519339607503e1+/-0.457e-28 
y[1] (numeric)                   -0.733500794078193693663768681230002e1+/-0.538e-28 
absolute error                   0.38511738501168750658377501e-6+/-0.995e-28 
relative error                   0.5250401470600505334579506960237793e-5+/-0.135e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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]                             -0.1e0+/-0.5e-30 
y[1] (closed_form)               -0.719653596067085264039512334855052e1+/-0.46e-28 
y[1] (numeric)                   -0.719653549494016484711777772668861e1+/-0.556e-28 
absolute error                   0.46573068779327734562186191e-6+/-0.101e-27 
relative error                   0.6471595366694485012046038497732474e-5+/-0.14e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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]                             0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 
y[1] (closed_form)               -0.705908215912358073723674401997868e1+/-0.249e-28 
y[1] (numeric)                   -0.705908160789186258238985940817979e1+/-0.58e-28 
absolute error                   0.55123171815484688461179889e-6+/-0.829e-28 
relative error                   0.7808829897841633479909791122736263e-5+/-0.117e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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]                             0.1e0+/-0.2e-100 
y[1] (closed_form)               -0.692264898826986562371375831818895e1+/-0.282e-28 
y[1] (numeric)                   -0.692264834656421354411795020910121e1+/-0.598e-28 
absolute error                   0.64170565207959580810908774e-6+/-0.880e-28 
relative error                   0.9269654624507739042980185382160194e-5+/-0.127e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
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+/-0.4e-100 
y[1] (closed_form)               -0.678723863474993413861587037809306e1+/-0.32e-28 
y[1] (numeric)                   -0.678723789750633006753031794610059e1+/-0.616e-28 
absolute error                   0.73724360407108555243199247e-6+/-0.936e-28 
relative error                   0.1086220249125288362071908173704422e-4+/-0.137e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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+/-0.6e-100 
y[1] (closed_form)               -0.665285340703746577027673513420151e1+/-0.355e-28 
y[1] (numeric)                   -0.665285256909457018397169238919317e1+/-0.64e-28 
absolute error                   0.83794289558630504274500834e-6+/-0.995e-28 
relative error                   0.1259524063313824553091636707212107e-4+/-0.149e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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+/-0.8e-100 
y[1] (closed_form)               -0.651949573779503746492354876726755e1+/-0.393e-28 
y[1] (numeric)                   -0.651949479388769103209297434615928e1+/-0.658e-28 
absolute error                   0.94390734643283057442110827e-6+/-0.105e-27 
relative error                   0.1447822629840494442971326153126179e-4+/-0.161e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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+/-0.10e-99 
y[1] (closed_form)               -0.638716818638649729858400286284019e1+/-0.44e-28 
y[1] (numeric)                   -0.638716713113890637233829182788716e1+/-0.676e-28 
absolute error                   0.105524759092624571103495303e-5+/-0.111e-27 
relative error                   0.1652136847085665685343803578617948e-4+/-0.173e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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+/-0.12e-99 
y[1] (closed_form)               -0.625587344155393663124908111125931e1+/-0.484e-28 
y[1] (numeric)                   -0.62558722694725158343181328853201e1+/-0.7e-28 
absolute error                   0.117208142079693094822593921e-5+/-0.118e-27 
relative error                   0.1873569585042292842942812598340872e-4+/-0.188e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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+/-0.14e-99 
y[1] (closed_form)               -0.612561432426757912930424910595243e1+/-0.525e-28 
y[1] (numeric)                   -0.612561302973342207942511371435424e1+/-0.718e-28 
absolute error                   0.129453415704987913539159819e-5+/-0.124e-27 
relative error                   0.2113313193619421353831239853764853e-4+/-0.202e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
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  )   =   arccos ( 0.1  *  x  +  0.2 )   ; 
Iterations                      32 
Total Elapsed Time              1 Minutes 0 Seconds
Elapsed Time(since restart)     59 Seconds
Time to Timeout                 19 Minutes 0 Seconds
Percent Done                    0.103125e3+/-0.718e-28%