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/sub_full_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   sin ( 0.3  *  x  +  0.1 )   -   ( 0.1  *  x  +  0.2 )   ; 
!
#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(c(-0.05) * c(x) * c(x) - c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)) 
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)               -0.332570631238262679864837390383937e1+/-0.621e-30 
y[1] (numeric)                   -0.332570631238262679864837390383937e1+/-0.953e-30 
absolute error                   0.0e0+/-0.1574e-29 
relative error                   0.0e0+/-0.4732829216276597278932125124363742e-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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               -0.333275761125208983013650841339445e1+/-0.651e-30 
y[1] (numeric)                   -0.33327576112520898301364570146663e1+/-0.223e-29 
absolute error                   0.5139872815e-22+/-0.288e-29 
relative error                   0.1542228212950953771526909623478114e-20+/-0.864e-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)               -0.333784745039090106322625834729971e1+/-0.693e-30 
y[1] (numeric)                   -0.333784745039090106322614443113616e1+/-0.351e-29 
absolute error                   0.11391616355e-21+/-0.42e-29 
relative error                   0.3412863087456530762203524728799197e-20+/-0.125e-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)               -0.334099149776868496468674327014898e1+/-0.745e-30 
y[1] (numeric)                   -0.334099149776868496468655577410427e1+/-0.479e-29 
absolute error                   0.18749604471e-21+/-0.553e-29 
relative error                   0.5611988083035264647538135753446346e-20+/-0.165e-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)               -0.334220807236881594714865149831396e1+/-0.809e-30 
y[1] (numeric)                   -0.334220807236881594714837942615923e1+/-0.607e-29 
absolute error                   0.27207215473e-21+/-0.687e-29 
relative error                   0.8140491221336999098704621839058775e-20+/-0.205e-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)               -0.334151812770256982641530017865492e1+/-0.883e-30 
y[1] (numeric)                   -0.334151812770256982641493261027412e1+/-0.735e-29 
absolute error                   0.3675683808e-21+/-0.823e-29 
relative error                   0.1100004150067916203535434031974404e-19+/-0.246e-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)               -0.333894523295237799280935145400735e1+/-0.966e-30 
y[1] (numeric)                   -0.333894523295237799280887755522459e1+/-0.833e-29 
absolute error                   0.47389878276e-21+/-0.929e-29 
relative error                   0.1419306846015461506321354213261073e-19+/-0.278e-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)               -0.333451555176115409500881353342192e1+/-0.106e-29 
y[1] (numeric)                   -0.333451555176115409500822256575147e1+/-0.963e-29 
absolute error                   0.59096767045e-21+/-0.106e-28 
relative error                   0.177227444669698769307587151606057e-19+/-0.317e-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)               -0.332825781868678141067937634830292e1+/-0.117e-29 
y[1] (numeric)                   -0.332825781868678141067865767861317e1+/-0.106e-28 
absolute error                   0.71866968975e-21+/-0.117e-28 
relative error                   0.2159296932211708548240836167104413e-19+/-0.351e-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)               -0.332020331334295027599508910683933e1+/-0.128e-29 
y[1] (numeric)                   -0.332020331334295027599423221692185e1+/-0.112e-28 
absolute error                   0.85688991748e-21+/-0.124e-28 
relative error                   0.2580835679659747900312608380252352e-19+/-0.373e-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)               -0.331038583224961707491970159221148e1+/-0.141e-29 
y[1] (numeric)                   -0.331038583224961707491869608824673e1+/-0.12e-28 
absolute error                   0.100550396475e-20+/-0.134e-28 
relative error                   0.3037422269496291010525438439776947e-19+/-0.404e-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)               -0.329884165841841747512129967833468e1+/-0.156e-29 
y[1] (numeric)                   -0.329884165841841747512013530024572e1+/-0.126e-28 
absolute error                   0.116437808896e-20+/-0.141e-28 
relative error                   0.3529657405618687521830073738679786e-19+/-0.427e-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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               -0.328560952870040498568489386378886e1+/-0.171e-29 
y[1] (numeric)                   -0.328560952870040498568356049447474e1+/-0.132e-28 
absolute error                   0.133336931412e-20+/-0.149e-28 
relative error                   0.4058209907393965150415596002676115e-19+/-0.453e-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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               -0.327073059892549966795949190662837e1+/-0.187e-29 
y[1] (numeric)                   -0.327073059892549966795797958106885e1+/-0.14e-28 
absolute error                   0.151232555952e-20+/-0.158e-28 
relative error                   0.4623815731007711713787100316482623e-19+/-0.483e-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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               -0.325424840686501914268327265872591e1+/-0.205e-29 
y[1] (numeric)                   -0.325424840686501914268157157294928e1+/-0.146e-28 
absolute error                   0.170108577663e-20+/-0.166e-28 
relative error                   0.5227276974435830868470434217946142e-19+/-0.51e-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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               -0.323620883305062311552629109350006e1+/-0.223e-29 
y[1] (numeric)                   -0.323620883305062311552439161340607e1+/-0.152e-28 
absolute error                   0.189948009399e-20+/-0.174e-28 
relative error                   0.5869460816592137892791116222732757e-19+/-0.537e-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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               -0.32166600594849317263358219288494e1+/-0.243e-29 
y[1] (numeric)                   -0.321666005948493172633371459887929e1+/-0.16e-28 
absolute error                   0.210732997011e-20+/-0.184e-28 
relative error                   0.6551298337840015934145759950478463e-19+/-0.572e-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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               -0.319565252628097537862036926420108e1+/-0.265e-29 
y[1] (numeric)                   -0.319565252628097537861804481584695e1+/-0.166e-28 
absolute error                   0.232444835413e-20+/-0.192e-28 
relative error                   0.7273783163262552413591113038738126e-19+/-0.6e-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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               -0.317323888626949761767647381612705e1+/-0.287e-29 
y[1] (numeric)                   -0.317323888626949761767392317627289e1+/-0.172e-28 
absolute error                   0.255063985416e-20+/-0.2e-28 
relative error                   0.8037969864785586858109930516415309e-19+/-0.63e-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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               -0.314947395761496142085286663397288e1+/-0.311e-29 
y[1] (numeric)                   -0.314947395761496142085008093305975e1+/-0.18e-28 
absolute error                   0.278570091313e-20+/-0.211e-28 
relative error                   0.8844972051267761418085122809340386e-19+/-0.669e-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               -0.312441467448290129596710719516778e1+/-0.336e-29 
y[1] (numeric)                   -0.312441467448290129596407777517585e1+/-0.186e-28 
absolute error                   0.302941999193e-20+/-0.219e-28 
relative error                   0.9695960067884961008083215676403229e-19+/-0.7e-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)               -0.309812003580301724113229455555668e1+/-0.361e-29 
y[1] (numeric)                   -0.309812003580301724112901297779684e1+/-0.192e-28 
absolute error                   0.328157775984e-20+/-0.228e-28 
relative error                   0.1059215821826423014301726280198628e-18+/-0.735e-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)               -0.307065105217412032304260287028317e1+/-0.388e-29 
y[1] (numeric)                   -0.307065105217412032303906092299126e1+/-0.2e-28 
absolute error                   0.354194729191e-20+/-0.238e-28 
relative error                   0.115348414122216416816933630042348e-18+/-0.775e-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)               -0.304207069095871183888852659478976e1+/-0.416e-29 
y[1] (numeric)                   -0.304207069095871183888471630051665e1+/-0.206e-28 
absolute error                   0.381029427311e-20+/-0.247e-28 
relative error                   0.1252533113196387187103374183248408e-18+/-0.811e-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)               -0.301244381961660723465138676487155e1+/-0.446e-29 
y[1] (numeric)                   -0.301244381961660723464730038766225e1+/-0.212e-28 
absolute error                   0.40863772093e-20+/-0.256e-28 
relative error                   0.1356499059896184860890249715092433e-18+/-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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               -0.298183714732860069338499535240697e1+/-0.474e-29 
y[1] (numeric)                   -0.298183714732860069338062540476252e1+/-0.22e-28 
absolute error                   0.436994764445e-20+/-0.267e-28 
relative error                   0.1465521900941167826688100407922112e-18+/-0.895e-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)               -0.295031916496270515507059408724892e1+/-0.475e-29 
y[1] (numeric)                   -0.29503191649627051550659333368646e1+/-0.226e-28 
absolute error                   0.466075038432e-20+/-0.273e-28 
relative error                   0.157974446957128325640685305536524e-18+/-0.925e-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)               -0.291796008343699409986996605074672e1+/-0.543e-29 
y[1] (numeric)                   -0.291796008343699409986500752702064e1+/-0.232e-28 
absolute error                   0.495852372608e-20+/-0.286e-28 
relative error                   0.169931170553898588435196701100262e-18+/-0.98e-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)               -0.288483177053451437678842584949954e1+/-0.578e-29 
y[1] (numeric)                   -0.288483177053451437678316284980575e1+/-0.24e-28 
absolute error                   0.526299969379e-20+/-0.297e-28 
relative error                   0.1824369707636313282382873000037093e-18+/-0.102e-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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               -0.285100768622713239133645535814325e1+/-0.614e-29 
y[1] (numeric)                   -0.28510076862271323913308814538636e1+/-0.246e-28 
absolute error                   0.557390427965e-20+/-0.307e-28 
relative error                   0.1955064627351531277482613820650825e-18+/-0.107e-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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               -0.281656281656651782511167433279116e1+/-0.651e-29 
y[1] (numeric)                   -0.281656281656651782510578337510064e1+/-0.252e-28 
absolute error                   0.589095769052e-20+/-0.317e-28 
relative error                   0.2091541383657570988894021829642588e-18+/-0.112e-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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               -0.27815736062017585397287917998547e1+/-0.689e-29 
y[1] (numeric)                   -0.278157360620175853972257792525496e1+/-0.26e-28 
absolute error                   0.621387459974e-20+/-0.328e-28 
relative error                   0.223394217786853816168785104076515e-18+/-0.117e-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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               -0.274611788958433625675965691291714e1+/-0.729e-29 
y[1] (numeric)                   -0.274611788958433625675311454851327e1+/-0.266e-28 
absolute error                   0.654236440387e-20+/-0.338e-28 
relative error                   0.2382404786292797972844557674963464e-18+/-0.123e-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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               -0.271027482092237389204662931320375e1+/-0.771e-29 
y[1] (numeric)                   -0.271027482092237389203975318171948e1+/-0.272e-28 
absolute error                   0.687613148427e-20+/-0.349e-28 
relative error                   0.2537060607724600242898937391197352e-18+/-0.128e-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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               -0.267412480294719099384192239603306e1+/-0.814e-29 
y[1] (numeric)                   -0.267412480294719099383470752055997e1+/-0.28e-28 
absolute error                   0.721487547309e-20+/-0.361e-28 
relative error                   0.2698032442292290578578395067831292e-18+/-0.134e-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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               -0.263774941455627257676533155570921e1+/-0.858e-29 
y[1] (numeric)                   -0.263774941455627257675777326418561e1+/-0.286e-28 
absolute error                   0.75582915236e-20+/-0.371e-28 
relative error                   0.2865431978447228941286906475993493e-18+/-0.14e-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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               -0.260123133739776779567670237888263e1+/-0.903e-29 
y[1] (numeric)                   -0.260123133739776779566879630829808e1+/-0.292e-28 
absolute error                   0.790607058455e-20+/-0.382e-28 
relative error                   0.3039356965635787156251847845876213e-18+/-0.146e-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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               -0.25646542814625874552589780523246e1+/-0.950e-29 
y[1] (numeric)                   -0.256465428146258745525072015264635e1+/-0.3e-28 
absolute error                   0.825789967825e-20+/-0.395e-28 
relative error                   0.3219888051944620047536204383592854e-18+/-0.154e-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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               -0.252810290975106244517045672029319e1+/-0.999e-29 
y[1] (numeric)                   -0.252810290975106244516184325811093e1+/-0.306e-28 
absolute error                   0.861346218226e-20+/-0.405e-28 
relative error                   0.3407085268972753753902302220919153e-18+/-0.16e-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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               -0.24916627620819580233266136976429e1+/-0.103e-28 
y[1] (numeric)                   -0.249166276208195802331764125952857e1+/-0.312e-28 
absolute error                   0.897243811433e-20+/-0.415e-28 
relative error                   0.3600984150372300847109991348059912e-18+/-0.166e-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)               -0.245542017811241069171928328670192e1+/-0.11e-28 
y[1] (numeric)                   -0.245542017811241069170994878228158e1+/-0.32e-28 
absolute error                   0.933450442034e-20+/-0.43e-28 
relative error                   0.3801591476500711754146228050508902e-18+/-0.175e-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)               -0.241946221963806452558658417463952e1+/-0.114e-28 
y[1] (numeric)                   -0.241946221963806452557688483937444e1+/-0.326e-28 
absolute error                   0.969933526508e-20+/-0.440e-28 
relative error                   0.4008880645605185816182686103737829e-18+/-0.181e-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)               -0.238387659224333158865387739268018e1+/-0.118e-28 
y[1] (numeric)                   -0.238387659224333158864381079035478e1+/-0.332e-28 
absolute error                   0.100666023254e-19+/-0.450e-28 
relative error                   0.4222786682060118407382673578831586e-18+/-0.188e-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)               -0.234875156637228591162327367658638e1+/-0.125e-28 
y[1] (numeric)                   -0.234875156637228591161283770150063e1+/-0.34e-28 
absolute error                   0.1043597508575e-19+/-0.465e-28 
relative error                   0.4443200905180730766350210434737676e-18+/-0.197e-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)               -0.231417589789122190177622209082675e1+/-0.131e-28 
y[1] (numeric)                   -0.231417589789122190176541496969119e1+/-0.346e-28 
absolute error                   0.1080712113556e-19+/-0.477e-28 
relative error                   0.4669965297541954584749397024930467e-18+/-0.206e-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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               -0.228023874821436551925408846882615e1+/-0.136e-28 
y[1] (numeric)                   -0.228023874821436551924290876235772e1+/-0.352e-28 
absolute error                   0.1117970646843e-19+/-0.488e-28 
relative error                   0.4902866630603803093033428529195021e-18+/-0.214e-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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               -0.2247029604064619688605318383054e1+/-0.142e-28 
y[1] (numeric)                   -0.224702960406461968859376498727129e1+/-0.36e-28 
absolute error                   0.1155339578271e-19+/-0.502e-28 
relative error                   0.5141630427036309505996736969868684e-18+/-0.223e-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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               -0.221463819694155385874158935692134e1+/-0.149e-28 
y[1] (numeric)                   -0.221463819694155385872966150413809e1+/-0.366e-28 
absolute error                   0.1192785278325e-19+/-0.515e-28 
relative error                   0.5385914863982085440814814281249586e-18+/-0.232e-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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               -0.218315442236911108495136177881787e1+/-0.155e-28 
y[1] (numeric)                   -0.218315442236911108493905903833383e1+/-0.372e-28 
absolute error                   0.1230274048404e-19+/-0.527e-28 
relative error                   0.5635304748937245150168407118073239e-18+/-0.241e-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
Finished!
diff  (  y  ,  x  ,  1  )   =   sin ( 0.3  *  x  +  0.1 )   -   ( 0.1  *  x  +  0.2 )   ; 
Iterations                      98 
Total Elapsed Time              1 Minutes 58 Seconds
Elapsed Time(since restart)     1 Minutes 58 Seconds
Time to Timeout                 18 Minutes 2 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%