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/ln_c_exp_c_sqrt_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  ln ( 0.1 )   +  exp ( 0.1 )   +  sqrt ( 0.1 )  ; 
!
#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=3 
#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((ln(c(0.1)) + exp(c(0.1)) + sqrt(c(0.1))) * c(x)) 
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)               -0.881186408901560126006394273747022e-1+/-0.712e-30 
y[1] (numeric)                   -0.881186408901560126006394273747022e-1+/-0.72e-30 
absolute error                   0.0e0+/-0.1432e-29 
relative error                   0.0e0+/-0.1625081805091677087046999646811023e-26%
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)               -0.176237281780312025201278854749404e0+/-0.138e-29 
y[1] (numeric)                   -0.176237281780312025201278854749404e0+/-0.14e-29 
absolute error                   0.0e0+/-0.278e-29 
relative error                   0.0e0+/-0.157741879125518935125372172420824e-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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               -0.264355922670468037801918282124106e0+/-0.204e-29 
y[1] (numeric)                   -0.264355922670468037801918282124106e0+/-0.214e-29 
absolute error                   0.0e0+/-0.418e-29 
relative error                   0.0e0+/-0.1581201570131101076316680289493752e-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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               -0.352474563560624050402557709498808e0+/-0.271e-29 
y[1] (numeric)                   -0.352474563560624050402557709498808e0+/-0.29e-29 
absolute error                   0.0e0+/-0.561e-29 
relative error                   0.0e0+/-0.1591604212039858320239816344029805e-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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               -0.440593204450780063003197136873511e0+/-0.338e-29 
y[1] (numeric)                   -0.44059320445078006300319713687351e0+/-0.366e-29 
absolute error                   0.1e-32+/-0.704e-29 
relative error                   0.2269667325547035037775139171487097e-30+/-0.159e-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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               -0.528711845340936075603836564248213e0+/-0.405e-29 
y[1] (numeric)                   -0.528711845340936075603836564248212e0+/-0.45e-29 
absolute error                   0.1e-32+/-0.855e-29 
relative error                   0.1891389437955862531479282642905915e-30+/-0.161e-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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               -0.616830486231092088204475991622915e0+/-0.472e-29 
y[1] (numeric)                   -0.616830486231092088204475991622914e0+/-0.53e-29 
absolute error                   0.1e-32+/-0.1e-28 
relative error                   0.1621190946819310741267956551062213e-30+/-0.162e-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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               -0.704949127121248100805115418997617e0+/-0.538e-29 
y[1] (numeric)                   -0.704949127121248100805115418997616e0+/-0.61e-29 
absolute error                   0.1e-32+/-0.114e-28 
relative error                   0.1418542078466896898609461982179437e-30+/-0.161e-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]                             0.9e0+/-0.5e-31 
y[1] (closed_form)               -0.793067768011404113405754846372319e0+/-0.605e-29 
y[1] (numeric)                   -0.793067768011404113405754846372318e0+/-0.69e-29 
absolute error                   0.1e-32+/-0.129e-28 
relative error                   0.1260926291970575020986188428603944e-30+/-0.162e-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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               -0.881186408901560126006394273747022e0+/-0.672e-29 
y[1] (numeric)                   -0.88118640890156012600639427374702e0+/-0.782e-29 
absolute error                   0.2e-32+/-0.145e-28 
relative error                   0.2269667325547035037775139171487097e-30+/-0.164e-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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               -0.969305049791716138607033701121724e0+/-0.739e-29 
y[1] (numeric)                   -0.969305049791716138607033701121722e0+/-0.882e-29 
absolute error                   0.2e-32+/-0.162e-28 
relative error                   0.2063333932315486397977399246806452e-30+/-0.167e-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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               -0.105742369068187215120767312849642e1+/-0.806e-29 
y[1] (numeric)                   -0.105742369068187215120767312849642e1+/-0.988e-29 
absolute error                   0.0e0+/-0.1794e-28 
relative error                   0.0e0+/-0.1696576325846408690736916530712479e-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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               -0.114554233157202816380831255587112e1+/-0.872e-29 
y[1] (numeric)                   -0.114554233157202816380831255587112e1+/-0.106e-28 
absolute error                   0.0e0+/-0.1932e-28 
relative error                   0.0e0+/-0.16865374126757198819159880305178788348638e-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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               -0.123366097246218417640895198324583e1+/-0.939e-29 
y[1] (numeric)                   -0.123366097246218417640895198324582e1+/-0.112e-28 
absolute error                   0.1e-31+/-0.205e-28 
relative error                   0.8105954734096553706339782755311068e-30+/-0.166e-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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               -0.132177961335234018900959141062053e1+/-0.1e-28 
y[1] (numeric)                   -0.132177961335234018900959141062052e1+/-0.118e-28 
absolute error                   0.1e-31+/-0.218e-28 
relative error                   0.7565557751823450125917130571623676e-30+/-0.164e-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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               -0.140989825424249620161023083799523e1+/-0.107e-28 
y[1] (numeric)                   -0.140989825424249620161023083799522e1+/-0.124e-28 
absolute error                   0.1e-31+/-0.231e-28 
relative error                   0.7092710392334484493047309910897206e-30+/-0.163e-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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               -0.149801689513265221421087026536993e1+/-0.114e-28 
y[1] (numeric)                   -0.149801689513265221421087026536992e1+/-0.13e-28 
absolute error                   0.1e-31+/-0.244e-28 
relative error                   0.6675492133961867758162174033785614e-30+/-0.162e-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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               -0.158613553602280822681150969274463e1+/-0.12e-28 
y[1] (numeric)                   -0.158613553602280822681150969274462e1+/-0.136e-28 
absolute error                   0.1e-31+/-0.256e-28 
relative error                   0.6304631459852875104930942143019754e-30+/-0.161e-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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               -0.167425417691296423941214912011934e1+/-0.127e-28 
y[1] (numeric)                   -0.167425417691296423941214912011932e1+/-0.142e-28 
absolute error                   0.2e-31+/-0.269e-28 
relative error                   0.1194561750287913177776389037624789e-29+/-0.16e-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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               -0.176237281780312025201278854749404e1+/-0.134e-28 
y[1] (numeric)                   -0.176237281780312025201278854749402e1+/-0.148e-28 
absolute error                   0.2e-31+/-0.282e-28 
relative error                   0.1134833662773517518887569585743551e-29+/-0.16e-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               -0.185049145869327626461342797486874e1+/-0.14e-28 
y[1] (numeric)                   -0.185049145869327626461342797486872e1+/-0.154e-28 
absolute error                   0.2e-31+/-0.294e-28 
relative error                   0.1080793964546207160845304367374812e-29+/-0.158e-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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               -0.193861009958343227721406740224344e1+/-0.147e-28 
y[1] (numeric)                   -0.193861009958343227721406740224342e1+/-0.16e-28 
absolute error                   0.2e-31+/-0.307e-28 
relative error                   0.103166696615774319898869962340323e-29+/-0.158e-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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               -0.202672874047358828981470682961815e1+/-0.154e-28 
y[1] (numeric)                   -0.202672874047358828981470682961812e1+/-0.168e-28 
absolute error                   0.3e-31+/-0.322e-28 
relative error                   0.1480217821008935894201177720535064e-29+/-0.158e-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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               -0.211484738136374430241534625699285e1+/-0.16e-28 
y[1] (numeric)                   -0.211484738136374430241534625699282e1+/-0.182e-28 
absolute error                   0.3e-31+/-0.342e-28 
relative error                   0.1418542078466896898609461982179438e-29+/-0.161e-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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               -0.220296602225390031501598568436755e1+/-0.167e-28 
y[1] (numeric)                   -0.220296602225390031501598568436752e1+/-0.195e-28 
absolute error                   0.3e-31+/-0.362e-28 
relative error                   0.1361800395328221022665083502892261e-29+/-0.164e-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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               -0.229108466314405632761662511174225e1+/-0.174e-28 
y[1] (numeric)                   -0.229108466314405632761662511174222e1+/-0.209e-28 
absolute error                   0.3e-31+/-0.383e-28 
relative error                   0.1309423457046366367947195675857945e-29+/-0.167e-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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               -0.237920330403421234021726453911695e1+/-0.18e-28 
y[1] (numeric)                   -0.237920330403421234021726453911692e1+/-0.222e-28 
absolute error                   0.3e-31+/-0.402e-28 
relative error                   0.1260926291970575020986188428603948e-29+/-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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               -0.246732194492436835281790396649166e1+/-0.187e-28 
y[1] (numeric)                   -0.246732194492436835281790396649162e1+/-0.235e-28 
absolute error                   0.4e-31+/-0.422e-28 
relative error                   0.1621190946819310741267956551062213e-29+/-0.171e-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               -0.255544058581452436541854339386636e1+/-0.194e-28 
y[1] (numeric)                   -0.255544058581452436541854339386632e1+/-0.249e-28 
absolute error                   0.4e-31+/-0.443e-28 
relative error                   0.1565287810722093129500095980335931e-29+/-0.173e-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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               -0.264355922670468037801918282124106e1+/-0.2e-28 
y[1] (numeric)                   -0.264355922670468037801918282124102e1+/-0.262e-28 
absolute error                   0.4e-31+/-0.462e-28 
relative error                   0.1513111550364690025183426114324735e-29+/-0.174e-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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               -0.273167786759483639061982224861576e1+/-0.207e-28 
y[1] (numeric)                   -0.273167786759483639061982224861572e1+/-0.275e-28 
absolute error                   0.4e-31+/-0.482e-28 
relative error                   0.1464301500352925830822670433217486e-29+/-0.176e-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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               -0.281979650848499240322046167599047e1+/-0.214e-28 
y[1] (numeric)                   -0.281979650848499240322046167599042e1+/-0.289e-28 
absolute error                   0.5e-31+/-0.503e-28 
relative error                   0.1773177598083621123261827477724295e-29+/-0.178e-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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               -0.290791514937514841582110110336517e1+/-0.22e-28 
y[1] (numeric)                   -0.290791514937514841582110110336512e1+/-0.302e-28 
absolute error                   0.5e-31+/-0.522e-28 
relative error                   0.1719444943596238664981166039005378e-29+/-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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               -0.299603379026530442842174053073987e1+/-0.227e-28 
y[1] (numeric)                   -0.299603379026530442842174053073982e1+/-0.315e-28 
absolute error                   0.5e-31+/-0.542e-28 
relative error                   0.1668873033490466939540543508446398e-29+/-0.18e-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)               -0.308415243115546044102237995811457e1+/-0.234e-28 
y[1] (numeric)                   -0.308415243115546044102237995811452e1+/-0.329e-28 
absolute error                   0.5e-31+/-0.563e-28 
relative error                   0.1621190946819310741267956551062216e-29+/-0.182e-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)               -0.317227107204561645362301938548927e1+/-0.24e-28 
y[1] (numeric)                   -0.317227107204561645362301938548922e1+/-0.342e-28 
absolute error                   0.5e-31+/-0.582e-28 
relative error                   0.1576157864963218776232735535754933e-29+/-0.183e-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)               -0.326038971293577246622365881286398e1+/-0.247e-28 
y[1] (numeric)                   -0.326038971293577246622365881286392e1+/-0.355e-28 
absolute error                   0.6e-31+/-0.602e-28 
relative error                   0.184027080449759597657443716607062e-29+/-0.184e-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)               -0.334850835382592847882429824023868e1+/-0.254e-28 
y[1] (numeric)                   -0.334850835382592847882429824023862e1+/-0.369e-28 
absolute error                   0.6e-31+/-0.623e-28 
relative error                   0.1791842625431869766664583556437184e-29+/-0.186e-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)               -0.343662699471608449142493766761338e1+/-0.26e-28 
y[1] (numeric)                   -0.343662699471608449142493766761332e1+/-0.382e-28 
absolute error                   0.6e-31+/-0.642e-28 
relative error                   0.1745897942728488490596260901143924e-29+/-0.186e-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)               -0.352474563560624050402557709498808e1+/-0.267e-28 
y[1] (numeric)                   -0.352474563560624050402557709498802e1+/-0.395e-28 
absolute error                   0.6e-31+/-0.662e-28 
relative error                   0.1702250494160276278331354378615327e-29+/-0.187e-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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               -0.361286427649639651662621652236279e1+/-0.274e-28 
y[1] (numeric)                   -0.361286427649639651662621652236272e1+/-0.409e-28 
absolute error                   0.7e-31+/-0.683e-28 
relative error                   0.1937520887662103081027557829318254e-29+/-0.189e-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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               -0.370098291738655252922685594973749e1+/-0.281e-28 
y[1] (numeric)                   -0.370098291738655252922685594973742e1+/-0.422e-28 
absolute error                   0.7e-31+/-0.703e-28 
relative error                   0.1891389437955862531479282642905916e-29+/-0.189e-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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               -0.378910155827670854182749537711219e1+/-0.287e-28 
y[1] (numeric)                   -0.378910155827670854182749537711212e1+/-0.435e-28 
absolute error                   0.7e-31+/-0.722e-28 
relative error                   0.1847403637073168054003020255861593e-29+/-0.19e-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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               -0.387722019916686455442813480448689e1+/-0.294e-28 
y[1] (numeric)                   -0.387722019916686455442813480448682e1+/-0.449e-28 
absolute error                   0.7e-31+/-0.743e-28 
relative error                   0.1805417190776050598230224340955649e-29+/-0.191e-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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               -0.396533884005702056702877423186159e1+/-0.301e-28 
y[1] (numeric)                   -0.396533884005702056702877423186152e1+/-0.462e-28 
absolute error                   0.7e-31+/-0.763e-28 
relative error                   0.1765296808758805029380663800045524e-29+/-0.192e-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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               -0.40534574809471765796294136592363e1+/-0.307e-28 
y[1] (numeric)                   -0.405345748094717657962941365923622e1+/-0.48e-28 
absolute error                   0.8e-31+/-0.787e-28 
relative error                   0.1973623761345247858934903627380085e-29+/-0.194e-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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               -0.4141576121837332592230053086611e1+/-0.314e-28 
y[1] (numeric)                   -0.414157612183733259223005308661092e1+/-0.498e-28 
absolute error                   0.8e-31+/-0.812e-28 
relative error                   0.1931631766423008542787352486371999e-29+/-0.196e-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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               -0.42296947627274886048306925139857e1+/-0.321e-28 
y[1] (numeric)                   -0.422969476272748860483069251398562e1+/-0.518e-28 
absolute error                   0.8e-31+/-0.839e-28 
relative error                   0.1891389437955862531479282642905917e-29+/-0.198e-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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               -0.43178134036176446174313319413604e1+/-0.327e-28 
y[1] (numeric)                   -0.431781340361764461743133194136032e1+/-0.538e-28 
absolute error                   0.8e-31+/-0.865e-28 
relative error                   0.1852789653507783704306236058356817e-29+/-0.2e-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
Finished!
diff  (  y  ,  x  ,  1  )   =  ln ( 0.1 )   +  exp ( 0.1 )   +  sqrt ( 0.1 )  ; 
Iterations                      98 
Total Elapsed Time              5 Minutes 50 Seconds
Elapsed Time(since restart)     5 Minutes 48 Seconds
Time to Timeout                 14 Minutes 10 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%