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_lin_sinpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   ( 0.1  *  x  +  1.0 )   -  sin ( x )  ; 
!
#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(cos(c(x)) + (c(0.05) * c(x) * c(x)) + 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)               0.1095504165278025766095561987803869e1+/-0.616e-31 
y[1] (numeric)                   0.1095504165278025766095561987803869e1+/-0.17e-30 
absolute error                   0.0e0+/-0.2316e-30 
relative error                   0.0e0+/-0.211409511109638463778779465436878109203e-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)               0.1182066577841241631124196516748168e1+/-0.712e-31 
y[1] (numeric)                   0.1182066577841241631123677202740927e1+/-0.48e-30 
absolute error                   0.519314007241e-21+/-0.551e-30 
relative error                   0.4393272062470468314573604815178195e-19+/-0.466e-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)               0.1259836489125606019642310227568049e1+/-0.838e-31 
y[1] (numeric)                   0.1259836489125606019640861595894902e1+/-0.872e-30 
absolute error                   0.1448631673147e-20+/-0.955e-30 
relative error                   0.1149856894645453511948023378964243e-18+/-0.758e-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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               0.13290609940028850827985267320518e1+/-0.99e-31 
y[1] (numeric)                   0.1329060994002885082795748064489008e1+/-0.119e-29 
absolute error                   0.2778667562792e-20+/-0.128e-29 
relative error                   0.2090699806352129056577978469157821e-18+/-0.963e-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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               0.1390082561890372716116281582603829e1+/-0.117e-30 
y[1] (numeric)                   0.1390082561890372716111785450206608e1+/-0.151e-29 
absolute error                   0.4496132397221e-20+/-0.162e-29 
relative error                   0.3234435507993648494986586770848612e-18+/-0.116e-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)               0.1443335614909678297240952498955375e1+/-0.139e-30 
y[1] (numeric)                   0.1443335614909678297234368633119852e1+/-0.2e-29 
absolute error                   0.6583865835523e-20+/-0.213e-29 
relative error                   0.4561562652172903047214235985921895e-18+/-0.147e-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)               0.1489342187284488426255859990191864e1+/-0.165e-30 
y[1] (numeric)                   0.1489342187284488426246838982256566e1+/-0.223e-29 
absolute error                   0.9021007935298e-20+/-0.239e-29 
relative error                   0.6057041835191660827197409092394763e-18+/-0.16e-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)               0.1528706709347165420920749981642324e1+/-0.194e-30 
y[1] (numeric)                   0.1528706709347165420908966774064028e1+/-0.253e-29 
absolute error                   0.11783207578296e-19+/-0.272e-29 
relative error                   0.7707958306356895441697192980010136e-18+/-0.177e-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)               0.1562109968270664456484716151407133e1+/-0.227e-30 
y[1] (numeric)                   0.1562109968270664456469873285628387e1+/-0.276e-29 
absolute error                   0.14842865778746e-19+/-0.298e-29 
relative error                   0.9501805942111624025598120364953193e-18+/-0.19e-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)               0.1590302305868139717400936607442976e1+/-0.266e-30 
y[1] (numeric)                   0.1590302305868139717382767195999678e1+/-0.32e-29 
absolute error                   0.18169411443298e-19+/-0.346e-29 
relative error                   0.1142513054043482028491312850259283e-17+/-0.217e-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)               0.1614096121425577387771370051784716e1+/-0.310e-30 
y[1] (numeric)                   0.1614096121425577387749640444957434e1+/-0.37e-29 
absolute error                   0.21729606827282e-19+/-0.401e-29 
relative error                   0.1346239950573098935364855029105616e-17+/-0.248e-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)               0.1634357754476673577638373355623075e1+/-0.360e-30 
y[1] (numeric)                   0.1634357754476673577612885475987812e1+/-0.419e-29 
absolute error                   0.25487879635263e-19+/-0.455e-29 
relative error                   0.155950431081867373134486746778572e-17+/-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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.1651998828624587406997984109292871e1+/-0.415e-30 
y[1] (numeric)                   0.1651998828624587406968577430845204e1+/-0.483e-29 
absolute error                   0.29406678447667e-19+/-0.524e-29 
relative error                   0.17800665435186936181650819649407e-17+/-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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.166796714290024093861674803520365e1+/-0.479e-30 
y[1] (numeric)                   0.1667967142900240938583301187281508e1+/-0.523e-29 
absolute error                   0.33446847922142e-19+/-0.57e-29 
relative error                   0.2005246210305139973481098624511645e-17+/-0.341e-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)               0.1683237201667702910088189851434275e1+/-0.55e-30 
y[1] (numeric)                   0.1683237201667702910050621831413468e1+/-0.563e-29 
absolute error                   0.37568020020807e-19+/-0.618e-29 
relative error                   0.2231891024246950366747865468338738e-17+/-0.367e-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)               0.169880047769871127379422953705351e1+/-0.631e-30 
y[1] (numeric)                   0.169880047769871127375250051969919e1+/-0.603e-29 
absolute error                   0.4172901735432e-19+/-0.666e-29 
relative error                   0.2456381305640343712366230267646327e-17+/-0.392e-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)               0.1715655505704475315912357142665148e1+/-0.718e-30 
y[1] (numeric)                   0.1715655505704475315866468878052365e1+/-0.659e-29 
absolute error                   0.45888264612783e-19+/-0.73e-29 
relative error                   0.2674678247480723233328888913717369e-17+/-0.425e-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)               0.1734797905306912944683325693469441e1+/-0.823e-30 
y[1] (numeric)                   0.1734797905306912944633321489497011e1+/-0.701e-29 
absolute error                   0.5000420397243e-19+/-0.783e-29 
relative error                   0.2882422431999851442968887190844053e-17+/-0.451e-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)               0.1757210433136496577721166304919709e1+/-0.933e-30 
y[1] (numeric)                   0.175721043313649657766713059459197e1+/-0.727e-29 
absolute error                   0.54035710327739e-19+/-0.82e-29 
relative error                   0.3075084765533122380057160574191567e-17+/-0.466e-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)               0.178385316345285761300243177049926e1+/-0.106e-29 
y[1] (numeric)                   0.1783853163452857612944489268299406e1+/-0.777e-29 
absolute error                   0.57942502199854e-19+/-0.883e-29 
relative error                   0.3248165453691237223208839571485455e-17+/-0.494e-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)               0.1815653895400142548379061476280853e1+/-0.120e-29 
y[1] (numeric)                   0.1815653895400142548317375932065061e1+/-0.812e-29 
absolute error                   0.61685544215792e-19+/-0.932e-29 
relative error                   0.3397428572266381348609115693971965e-17+/-0.513e-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)               0.1853498882744654291475857387345094e1+/-0.135e-29 
y[1] (numeric)                   0.1853498882744654291410629950208069e1+/-0.832e-29 
absolute error                   0.65227437137025e-19+/-0.967e-29 
relative error                   0.351915168356813100925113087135769e-17+/-0.521e-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)               0.1898223978720175806682119428834002e1+/-0.153e-29 
y[1] (numeric)                   0.1898223978720175806613586637293735e1+/-0.852e-29 
absolute error                   0.68532791540267e-19+/-0.1e-28 
relative error                   0.3610363808936462255289904463146194e-17+/-0.526e-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)               0.1950606284458754500391177772665234e1+/-0.171e-29 
y[1] (numeric)                   0.1950606284458754500319609191248301e1+/-0.874e-29 
absolute error                   0.71568581416933e-19+/-0.104e-28 
relative error                   0.3669042901540303894965859049175072e-17+/-0.533e-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)               0.2011356384453066285166497209532666e1+/-0.195e-29 
y[1] (numeric)                   0.2011356384453066285092192735374589e1+/-0.934e-29 
absolute error                   0.74304474158077e-19+/-0.112e-28 
relative error                   0.3694247062948125063202548794353453e-17+/-0.556e-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)               0.2081111246631052766202297848354817e1+/-0.219e-29 
y[1] (numeric)                   0.2081111246631052766125584714727025e1+/-0.1e-28 
absolute error                   0.76713133627792e-19+/-0.121e-28 
relative error                   0.3686162080570025050158355723873614e-17+/-0.581e-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)               0.216042785798293885201747271805669e1+/-0.246e-29 
y[1] (numeric)                   0.2160427857982938851938702224759836e1+/-0.105e-28 
absolute error                   0.78770493296854e-19+/-0.129e-28 
relative error                   0.3646059876787427524048815282996667e-17+/-0.597e-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)               0.2249777659331341847413211882633865e1+/-0.278e-29 
y[1] (numeric)                   0.2249777659331341847332755885926346e1+/-0.107e-28 
absolute error                   0.80455996707519e-19+/-0.134e-28 
relative error                   0.3576175466665065418449598043886242e-17+/-0.595e-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)               0.2349541834850409478218893330654485e1+/-0.314e-29 
y[1] (numeric)                   0.2349541834850409478137140527787623e1+/-0.109e-28 
absolute error                   0.81752802866862e-19+/-0.14e-28 
relative error                   0.3479521056158041710433740295965707e-17+/-0.595e-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)               0.2460007503399554542728427205268761e1+/-0.353e-29 
y[1] (numeric)                   0.2460007503399554542645779250752346e1+/-0.111e-28 
absolute error                   0.82647954516415e-19+/-0.146e-28 
relative error                   0.3359662700304833788166681524123053e-17+/-0.593e-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)               0.2581364849726720535507623945458561e1+/-0.399e-29 
y[1] (numeric)                   0.2581364849726720535424491437861775e1+/-0.113e-28 
absolute error                   0.83132507596786e-19+/-0.152e-28 
relative error                   0.322048654244234124351834523639901e-17+/-0.588e-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)               0.2713705224205246915338339277716446e1+/-0.449e-29 
y[1] (numeric)                   0.2713705224205246915255137657102681e1+/-0.116e-28 
absolute error                   0.83201620613765e-19+/-0.16e-28 
relative error                   0.3065978569508482972988863520263616e-17+/-0.589e-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)               0.285702023009113511606340894889718e1+/-0.503e-29 
y[1] (numeric)                   0.2857020230091135115980554345884242e1+/-0.12e-28 
absolute error                   0.82854603012938e-19+/-0.17e-28 
relative error                   0.2900035573437120857007999997435957e-17+/-0.595e-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)               0.3011201807420538985717798460234323e1+/-0.566e-29 
y[1] (numeric)                   0.3011201807420538985635703538154881e1+/-0.123e-28 
absolute error                   0.82094922079442e-19+/-0.179e-28 
relative error                   0.2726317508083800509092136955386557e-17+/-0.594e-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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.3176043312709203662301342373328254e1+/-0.637e-29 
y[1] (numeric)                   0.3176043312709203662220412205034174e1+/-0.13e-28 
absolute error                   0.8093016829408e-19+/-0.193e-28 
relative error                   0.2548144352132451867959659537397923e-17+/-0.607e-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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.3351241583665852994129708274734046e1+/-0.716e-29 
y[1] (numeric)                   0.3351241583665852994050336295242428e1+/-0.135e-28 
absolute error                   0.79371979491618e-19+/-0.206e-28 
relative error                   0.2368435026543047775906830691595298e-17+/-0.614e-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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.3536399968289591841164329893645611e1+/-0.806e-29 
y[1] (numeric)                   0.3536399968289591841086893969066026e1+/-0.137e-28 
absolute error                   0.77435924579585e-19+/-0.217e-28 
relative error                   0.2189682311784362584793858979767083e-17+/-0.613e-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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.3731032288085583300003431825649284e1+/-0.905e-29 
y[1] (numeric)                   0.3731032288085583299928290477670685e1+/-0.139e-28 
absolute error                   0.75141347978599e-19+/-0.229e-28 
relative error                   0.2013955982598974228160720131281115e-17+/-0.613e-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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               0.3934567695799859870627669515385639e1+/-0.879e-29 
y[1] (numeric)                   0.3934567695799859870555158339046051e1+/-0.141e-28 
absolute error                   0.72511176339588e-19+/-0.228e-28 
relative error                   0.1842926134349994285865873882840282e-17+/-0.579e-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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.414635637913638808536083181690225e1+/-0.112e-28 
y[1] (numeric)                   0.4146356379136388085291260127434055e1+/-0.151e-28 
absolute error                   0.69571689468195e-19+/-0.263e-28 
relative error                   0.1677899415936975954577564273095579e-17+/-0.634e-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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.4365676053466731088464971320340214e1+/-0.125e-28 
y[1] (numeric)                   0.4365676053466731088398619062594673e1+/-0.155e-28 
absolute error                   0.66352257745541e-19+/-0.280e-28 
relative error                   0.1519862145814769432771553768673267e-17+/-0.641e-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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.4591739178659300422344455118622838e1+/-0.141e-28 
y[1] (numeric)                   0.4591739178659300422281570069953683e1+/-0.159e-28 
absolute error                   0.62885048669155e-19+/-0.300e-28 
relative error                   0.136952571176998397007349772864049e-17+/-0.653e-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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.4823700827920024703093237603663973e1+/-0.136e-28 
y[1] (numeric)                   0.4823700827920024703034032898217837e1+/-0.163e-28 
absolute error                   0.59204705446136e-19+/-0.299e-28 
relative error                   0.1227371007411025815121809801240308e-17+/-0.619e-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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.5060667130021580316880860257782318e1+/-0.178e-28 
y[1] (numeric)                   0.5060667130021580316825512256932993e1+/-0.168e-28 
absolute error                   0.55348000849325e-19+/-0.346e-28 
relative error                   0.1093689812573959557635494055728817e-17+/-0.683e-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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.5301704200569220294019518175206155e1+/-0.2e-28 
y[1] (numeric)                   0.5301704200569220293968164705410013e1+/-0.174e-28 
absolute error                   0.51353469796142e-19+/-0.374e-28 
relative error                   0.9686219346343088581919949809015054e-18+/-0.705e-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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.5545847473064945482570092178770842e1+/-0.226e-28 
y[1] (numeric)                   0.5545847473064945482522831154450237e1+/-0.18e-28 
absolute error                   0.47261024320605e-19+/-0.406e-28 
relative error                   0.8521875971191453402715768866376946e-18+/-0.732e-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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.5792111336537109262849491703672888e1+/-0.253e-28 
y[1] (numeric)                   0.579211133653710926280638014888793e1+/-0.186e-28 
absolute error                   0.43111554784958e-19+/-0.439e-28 
relative error                   0.7443150222787812632364152471634629e-18+/-0.757e-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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.6039498983439446569320215257649483e1+/-0.283e-28 
y[1] (numeric)                   0.6039498983439446569281268736332198e1+/-0.193e-28 
absolute error                   0.38946521317285e-19+/-0.476e-28 
relative error                   0.6448634468534220416475653743985571e-18+/-0.788e-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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.6287012369422575404494329144121955e1+/-0.319e-28 
y[1] (numeric)                   0.628701236942257540445952160456673e1+/-0.201e-28 
absolute error                   0.34807539555225e-19+/-0.520e-28 
relative error                   0.5536419766646946321231067278689651e-18+/-0.827e-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
Finished!
diff  (  y  ,  x  ,  1  )   =   ( 0.1  *  x  +  1.0 )   -  sin ( x )  ; 
Iterations                      98 
Total Elapsed Time              1 Minutes 46 Seconds
Elapsed Time(since restart)     1 Minutes 46 Seconds
Time to Timeout                 18 Minutes 14 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%