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/mult_sin_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   sin ( x )   *  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(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=3 
#  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) 
$glob_lower_ratio_limit=c(0.99) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return($glob__m1 *cos(c(x)) * c(2.0)) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-31 
y[1] (closed_form)               -0.199000833055605153219112397560773e1+/-0.17e-30 
y[1] (numeric)                   -0.199000833055605153219112397560773e1+/-0.368e-30 
absolute error                   0.0e0+/-0.538e-30 
relative error                   0.0e0+/-0.2703506270497225102571156932528776e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.196013315568248326224839303349633e1+/-0.183e-30 
y[1] (numeric)                   -0.196013315568248326224735440548184e1+/-0.116e-29 
absolute error                   0.103862801449e-20+/-0.134e-29 
relative error                   0.5298762543141454721058084726228379e-19+/-0.683e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.191067297825121203928462045513609e1+/-0.198e-30 
y[1] (numeric)                   -0.191067297825121203928172319178978e1+/-0.19e-29 
absolute error                   0.289726334631e-20+/-0.209e-29 
relative error                   0.1516357523913792815534882431346424e-18+/-0.109e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.18421219880057701655970534641036e1+/-0.216e-30 
y[1] (numeric)                   -0.184212198800577016559149612897798e1+/-0.264e-29 
absolute error                   0.555733512562e-20+/-0.285e-29 
relative error                   0.3016811677947678075836048906262058e-18+/-0.154e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.175516512378074543223256316520765e1+/-0.237e-30 
y[1] (numeric)                   -0.175516512378074543222357090041318e1+/-0.327e-29 
absolute error                   0.899226479447e-20+/-0.35e-29 
relative error                   0.5123315563096449915172137607249641e-18+/-0.199e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.165067122981935659448190499791075e1+/-0.259e-30 
y[1] (numeric)                   -0.165067122981935659446873726623966e1+/-0.393e-29 
absolute error                   0.1316773167109e-19+/-0.418e-29 
relative error                   0.7977198265296614069620768911343062e-18+/-0.253e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.152968437456897685251171998038372e1+/-0.288e-30 
y[1] (numeric)                   -0.152968437456897685249367796451308e1+/-0.453e-29 
absolute error                   0.1804201587064e-19+/-0.481e-29 
relative error                   0.1179460035716436324932153114117813e-17+/-0.314e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.139341341869433084184149996328464e1+/-0.318e-30 
y[1] (numeric)                   -0.1393413418694330841817933548128e1+/-0.51e-29 
absolute error                   0.2356641515664e-19+/-0.541e-29 
relative error                   0.1691272298692402487734401451792891e-17+/-0.388e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.124321993654132891296943230281426e1+/-0.357e-30 
y[1] (numeric)                   -0.124321993654132891293974657125671e1+/-0.562e-29 
absolute error                   0.2968573155755e-19+/-0.597e-29 
relative error                   0.2387810127959860305082887417875313e-17+/-0.48e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.108060461173627943480187321488595e1+/-0.403e-30 
y[1] (numeric)                   -0.108060461173627943476553439199928e1+/-0.608e-29 
absolute error                   0.3633882288667e-19+/-0.648e-29 
relative error                   0.3362823228033609061034076519046151e-17+/-0.599e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.907192242851154775542740103569432e0+/-0.454e-30 
y[1] (numeric)                   -0.907192242851154775499280889914793e0+/-0.646e-29 
absolute error                   0.43459213654639e-19+/-0.691e-29 
relative error                   0.4790518657661125774050805731130568e-17+/-0.761e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.72471550895334715527674671124615e0+/-0.518e-30 
y[1] (numeric)                   -0.724715508953347155225770951975549e0+/-0.675e-29 
absolute error                   0.50975759270601e-19+/-0.726e-29 
relative error                   0.7033899321986569233014214412118057e-17+/-0.1e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.534997657249174813995968218585742e0+/-0.587e-30 
y[1] (numeric)                   -0.534997657249174813937154861690333e0+/-0.701e-29 
absolute error                   0.58813356895409e-19+/-0.759e-29 
relative error                   0.1099319896049875914465369428365981e-16+/-0.141e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.3399342858004818772334960704073e0+/-0.672e-30 
y[1] (numeric)                   -0.339934285800481877166602374562942e0+/-0.719e-29 
absolute error                   0.66893695844358e-19+/-0.786e-29 
relative error                   0.1967841981188682267807148541427775e-16+/-0.231e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.141474403335405820176379702868551e0+/-0.769e-30 
y[1] (numeric)                   -0.141474403335405820101243662826864e0+/-0.727e-29 
absolute error                   0.75136040041687e-19+/-0.803e-29 
relative error                   0.5310928215300924549928066591680651e-16+/-0.567e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.583990446025774524115409258929794e-1+/-0.893e-30 
y[1] (numeric)                   0.5839904460257745249499896060169063e-1+/-0.731e-29 
absolute error                   0.8345803470871123e-19+/-0.82e-29 
relative error                   0.1429099316207440053242063577095874e-15+/-0.14e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.257688988591049368175285714669704e0+/-0.104e-29 
y[1] (numeric)                   0.2576889885910493682670622438953387e0+/-0.736e-29 
absolute error                   0.917765292256347e-19+/-0.840e-29 
relative error                   0.3561523126286292864275668190381442e-16+/-0.325e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.454404189386174110633348613061118e0+/-0.123e-29 
y[1] (numeric)                   0.4544041893861741107333570210060453e0+/-0.742e-29 
absolute error                   0.1000084079449273e-18+/-0.865e-29 
relative error                   0.2200868968220172775689440630905804e-16+/-0.19e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.646579133727006844557667390160582e0+/-0.143e-29 
y[1] (numeric)                   0.6465791337270068446657388108161245e0+/-0.75e-29 
absolute error                   0.1080714206555425e-18+/-0.893e-29 
relative error                   0.1671433781548098924791046499339636e-16+/-0.138e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.83229367309428477399513645900148e0+/-0.166e-29 
y[1] (numeric)                   0.832293673094284774111021463401251e0+/-0.761e-29 
absolute error                   0.115885004399771e-18+/-0.927e-29 
relative error                   0.1392357146834194330214768985960835e-16+/-0.111e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1009692209199714903241877047438294e1+/-0.192e-29 
y[1] (numeric)                   0.1009692209199714903365248135869939e1+/-0.774e-29 
absolute error                   0.123371088431645e-18+/-0.966e-29 
relative error                   0.1221868281319406213643445260832513e-16+/-0.956e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1177002234510691417048285225309812e1+/-0.216e-29 
y[1] (numeric)                   0.1177002234510691417178740099583919e1+/-0.788e-29 
absolute error                   0.130454874274107e-18+/-0.1e-28 
relative error                   0.1108365561670664782020192524347585e-16+/-0.849e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1332552042559648386635761142331996e1+/-0.251e-29 
y[1] (numeric)                   0.1332552042559648386772826725412585e1+/-0.822e-29 
absolute error                   0.137065583080589e-18+/-0.107e-28 
relative error                   0.1028594596705618716429417390379716e-16+/-0.802e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1474787431082490999217644454669532e1+/-0.283e-29 
y[1] (numeric)                   0.1474787431082490999360781617503451e1+/-0.863e-29 
absolute error                   0.143137162833919e-18+/-0.114e-28 
relative error                   0.9705613149201889471013824502656073e-17+/-0.772e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1602287231093867429667005580934668e1+/-0.328e-29 
y[1] (numeric)                   0.1602287231093867429815614529250872e1+/-0.892e-29 
absolute error                   0.148608948316204e-18+/-0.122e-28 
relative error                   0.9274800761830322725584650434820297e-17+/-0.761e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1713777506737894467595404303290366e1+/-0.372e-29 
y[1] (numeric)                   0.1713777506737894467748830570545997e1+/-0.946e-29 
absolute error                   0.153426267255631e-18+/-0.131e-28 
relative error                   0.8952519603765347421558553863949464e-17+/-0.764e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.180814428403412229596505456388662e1+/-0.42e-29 
y[1] (numeric)                   0.1808144284034122296122595550480373e1+/-0.992e-29 
absolute error                   0.157540986593753e-18+/-0.141e-28 
relative error                   0.8712854830493160682288425748809073e-17+/-0.779e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.188444468133731630517357623473227e1+/-0.478e-29 
y[1] (numeric)                   0.188444468133731630533448822814735e1+/-0.1e-28 
absolute error                   0.16091199341508e-18+/-0.147e-28 
relative error                   0.8538960841285459458385521423493284e-17+/-0.78e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.194191633029918104356221333869103e1+/-0.544e-29 
y[1] (numeric)                   0.1941916330299181043725718944424794e1+/-0.1e-28 
absolute error                   0.163505605733764e-18+/-0.154e-28 
relative error                   0.8419806928992328612011682512694538e-17+/-0.793e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1979984993200890914543145589462478e1+/-0.616e-29 
y[1] (numeric)                   0.1979984993200890914708441498495344e1+/-0.1e-28 
absolute error                   0.165295909032866e-18+/-0.161e-28 
relative error                   0.8348341507661868445084373614697474e-17+/-0.813e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1998270300546558928984752109082878e1+/-0.702e-29 
y[1] (numeric)                   0.1998270300546558929151017124276483e1+/-0.1e-28 
absolute error                   0.166265015193605e-18+/-0.17e-28 
relative error                   0.8320446695731245950713680028643063e-17+/-0.85e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1996589551589506169323321444567108e1+/-0.796e-29 
y[1] (numeric)                   0.1996589551589506169489724685794668e1+/-0.1e-28 
absolute error                   0.16640324122756e-18+/-0.179e-28 
relative error                   0.8334374037722706226520938110755488e-17+/-0.896e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.197495953981772976787318210220564e1+/-0.898e-29 
y[1] (numeric)                   0.1974959539817729768038891308231543e1+/-0.1e-28 
absolute error                   0.165709206025903e-18+/-0.189e-28 
relative error                   0.8390511435044203724258688846196687e-17+/-0.956e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1933596385158922028564403079531354e1+/-0.101e-28 
y[1] (numeric)                   0.1933596385158922028728592923690262e1+/-0.1e-28 
absolute error                   0.164189844158908e-18+/-0.201e-28 
relative error                   0.8491422792219031721277521774600905e-17+/-0.103e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1872913374581592675397315253343492e1+/-0.115e-28 
y[1] (numeric)                   0.1872913374581592675559175589931673e1+/-0.1e-28 
absolute error                   0.161860336588181e-18+/-0.215e-28 
relative error                   0.864216886829271895981145862851694e-17+/-0.114e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1793516832668294011740583450531908e1+/-0.13e-28 
y[1] (numeric)                   0.1793516832668294011899327409515162e1+/-0.1e-28 
absolute error                   0.158743958983254e-18+/-0.23e-28 
relative error                   0.8850987963524357794256089829010442e-17+/-0.128e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1696200063420816317671340212708778e1+/-0.147e-28 
y[1] (numeric)                   0.1696200063420816317826212061867965e1+/-0.1e-28 
absolute error                   0.154871849159187e-18+/-0.247e-28 
relative error                   0.9130517826231462125545709485803352e-17+/-0.145e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1581935423828833399993136348701432e1+/-0.166e-28 
y[1] (numeric)                   0.1581935423828833400143419044658645e1+/-0.1e-28 
absolute error                   0.150282695957213e-18+/-0.266e-28 
relative error                   0.9499926083801616701188962050354285e-17+/-0.168e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1451864608400280258744660969228722e1+/-0.16e-28 
y[1] (numeric)                   0.1451864608400280258889683321907911e1+/-0.1e-28 
absolute error                   0.145022352679189e-18+/-0.26e-28 
relative error                   0.998869673109396567641640466773655e-17+/-0.179e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.13072872417272238292783363661955e1+/-0.208e-28 
y[1] (numeric)                   0.1307287241727223829417479745131901e1+/-0.101e-28 
absolute error                   0.139143378936401e-18+/-0.309e-28 
relative error                   0.106436729813534280312874201793025e-16+/-0.236e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.1149647893066537823070057359319572e1+/-0.234e-28 
y[1] (numeric)                   0.1149647893066537823202761874810662e1+/-0.103e-28 
absolute error                   0.13270451549109e-18+/-0.337e-28 
relative error                   0.1154305733880986645108629095690653e-16+/-0.293e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.980521642681399155311089762754324e0+/-0.264e-28 
y[1] (numeric)                   0.9805216426813991554368598600926401e0+/-0.105e-28 
absolute error                   0.1257700973383161e-18+/-0.369e-28 
relative error                   0.1282685581466380451660744012525408e-16+/-0.376e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.801598344159950593813524792672054e0+/-0.254e-28 
y[1] (numeric)                   0.8015983441599505939319342035643307e0+/-0.107e-28 
absolute error                   0.1184094108922767e-18+/-0.361e-28 
relative error                   0.1477166360870742222263574596068901e-16+/-0.45e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.614665739956839366238279484435364e0+/-0.338e-28 
y[1] (numeric)                   0.6146657399568393663489754861340173e0+/-0.109e-28 
absolute error                   0.1106960016986533e-18+/-0.447e-28 
relative error                   0.1800913805712128320678434862291529e-16+/-0.727e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.42159159886155941196096364958769e0+/-0.38e-28 
y[1] (numeric)                   0.4215915988615594120636705891799738e0+/-0.111e-28 
absolute error                   0.1027069395922838e-18+/-0.491e-28 
relative error                   0.2436171400702182875510982491450285e-16+/-0.116e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.224305053870109034859815642458316e0+/-0.432e-28 
y[1] (numeric)                   0.2243050538701090349543376910995254e0+/-0.114e-28 
absolute error                   0.945220486412094e-19+/-0.546e-28 
relative error                   0.4213995494544023702126264728472225e-16+/-0.243e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               0.247773269257814743010165926542232e-1+/-0.484e-28 
y[1] (numeric)                   0.247773269257814743872397022241379e-1+/-0.118e-28 
absolute error                   0.862231095699147e-19+/-0.602e-28 
relative error                   0.3479919760036634062289249249048157e-15+/-0.242e-24%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.174997966878893138640430515298967e0+/-0.544e-28 
y[1] (numeric)                   -0.174997966878893138562537472664398e0+/-0.122e-28 
absolute error                   0.77893042634569e-19+/-0.666e-28 
relative error                   0.445108271963380384771365128685593e-16+/-0.38e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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)               -0.37302473884515080898865828824391e0+/-0.614e-28 
y[1] (numeric)                   -0.373024738845150808919043209133463e0+/-0.126e-28 
absolute error                   0.69615079110447e-19+/-0.740e-28 
relative error                   0.186623223237066470120065604861304e-16+/-0.198e-25%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (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  )   =   sin ( x )   *  2.0 ; 
Iterations                      98 
Total Elapsed Time              1 Minutes 53 Seconds
Elapsed Time(since restart)     1 Minutes 53 Seconds
Time to Timeout                 18 Minutes 7 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%