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_c_sinpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  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(c(2.0) + cos(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)               0.3095004165278025766095561987803869e1+/-0.11e-30 
y[1] (numeric)                   0.3095004165278025766095561987803869e1+/-0.418e-30 
absolute error                   0.0e0+/-0.528e-30 
relative error                   0.0e0+/-0.1705975086959437086737542249019118e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               0.3180066577841241631124196516748168e1+/-0.118e-30 
y[1] (numeric)                   0.3180066577841241631123677202740927e1+/-0.166e-29 
absolute error                   0.519314007241e-21+/-0.177e-29 
relative error                   0.1633028726063752548540891795473323e-19+/-0.556e-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)               0.3255336489125606019642310227568049e1+/-0.127e-30 
y[1] (numeric)                   0.3255336489125606019640861595894902e1+/-0.294e-29 
absolute error                   0.1448631673147e-20+/-0.306e-29 
relative error                   0.4450021304974550216630053463543086e-19+/-0.939e-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)               0.33210609940028850827985267320518e1+/-0.139e-30 
y[1] (numeric)                   0.3321060994002885082795748064489008e1+/-0.408e-29 
absolute error                   0.2778667562792e-20+/-0.421e-29 
relative error                   0.8366806775935973993042583130523255e-19+/-0.126e-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)               0.3377582561890372716116281582603829e1+/-0.152e-30 
y[1] (numeric)                   0.3377582561890372716111785450206608e1+/-0.538e-29 
absolute error                   0.4496132397221e-20+/-0.553e-29 
relative error                   0.1331168761927937859764747334971888e-18+/-0.163e-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)               0.3425335614909678297240952498955375e1+/-0.168e-30 
y[1] (numeric)                   0.3425335614909678297234368633119852e1+/-0.674e-29 
absolute error                   0.6583865835523e-20+/-0.69e-29 
relative error                   0.1922108247397710279491012656659344e-18+/-0.201e-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)               0.3464842187284488426255859990191864e1+/-0.187e-30 
y[1] (numeric)                   0.3464842187284488426246838982256566e1+/-0.81e-29 
absolute error                   0.9021007935298e-20+/-0.828e-29 
relative error                   0.2603584073296008521603468027777518e-18+/-0.238e-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)               0.3496706709347165420920749981642324e1+/-0.208e-30 
y[1] (numeric)                   0.3496706709347165420908966774064028e1+/-0.912e-29 
absolute error                   0.11783207578296e-19+/-0.932e-29 
relative error                   0.3369801518325202331823949593294629e-18+/-0.266e-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)               0.3521609968270664456484716151407133e1+/-0.232e-30 
y[1] (numeric)                   0.3521609968270664456469873285628387e1+/-0.101e-28 
absolute error                   0.14842865778746e-19+/-0.103e-28 
relative error                   0.4214795480612180239048513007927024e-18+/-0.292e-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)               0.3540302305868139717400936607442976e1+/-0.261e-30 
y[1] (numeric)                   0.3540302305868139717382767195999678e1+/-0.103e-28 
absolute error                   0.18169411443298e-19+/-0.105e-28 
relative error                   0.5132163830524231105883876120303077e-18+/-0.296e-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)               0.3553596121425577387771370051784716e1+/-0.294e-30 
y[1] (numeric)                   0.3553596121425577387749640444957434e1+/-0.105e-28 
absolute error                   0.21729606827282e-19+/-0.107e-28 
relative error                   0.6114821742478953515310928519642317e-18+/-0.301e-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)               0.3562357754476673577638373355623075e1+/-0.332e-30 
y[1] (numeric)                   0.3562357754476673577612885475987812e1+/-0.107e-28 
absolute error                   0.25487879635263e-19+/-0.11e-28 
relative error                   0.7154778209244535711443408533231707e-18+/-0.308e-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)               0.3567498828624587406997984109292871e1+/-0.374e-30 
y[1] (numeric)                   0.3567498828624587406968577430845204e1+/-0.109e-28 
absolute error                   0.29406678447667e-19+/-0.112e-28 
relative error                   0.8242939902801437876203006491073262e-18+/-0.313e-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)               0.356996714290024093861674803520365e1+/-0.424e-30 
y[1] (numeric)                   0.3569967142900240938583301187281508e1+/-0.111e-28 
absolute error                   0.33446847922142e-19+/-0.115e-28 
relative error                   0.9368951192914841282938576158238806e-18+/-0.322e-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)               0.3570737201667702910088189851434275e1+/-0.480e-30 
y[1] (numeric)                   0.3570737201667702910050621831413468e1+/-0.113e-28 
absolute error                   0.37568020020807e-19+/-0.117e-28 
relative error                   0.1052108231411176392580177128395169e-17+/-0.327e-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)               0.357080047769871127379422953705351e1+/-0.545e-30 
y[1] (numeric)                   0.357080047769871127375250051969919e1+/-0.115e-28 
absolute error                   0.4172901735432e-19+/-0.12e-28 
relative error                   0.1168618006380834653445906873695102e-17+/-0.336e-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)               0.3571155505704475315912357142665148e1+/-0.615e-30 
y[1] (numeric)                   0.3571155505704475315866468878052365e1+/-0.117e-28 
absolute error                   0.45888264612783e-19+/-0.123e-28 
relative error                   0.1284969655885391245580146237489781e-17+/-0.344e-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)               0.3572797905306912944683325693469441e1+/-0.702e-30 
y[1] (numeric)                   0.3572797905306912944633321489497011e1+/-0.119e-28 
absolute error                   0.5000420397243e-19+/-0.126e-28 
relative error                   0.1399581092962337718745337634400123e-17+/-0.352e-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)               0.3576710433136496577721166304919709e1+/-0.793e-30 
y[1] (numeric)                   0.357671043313649657766713059459197e1+/-0.121e-28 
absolute error                   0.54035710327739e-19+/-0.128e-28 
relative error                   0.151076558580544327441746916780925e-17+/-0.357e-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)               0.358385316345285761300243177049926e1+/-0.901e-30 
y[1] (numeric)                   0.3583853163452857612944489268299406e1+/-0.123e-28 
absolute error                   0.57942502199854e-19+/-0.132e-28 
relative error                   0.1616765519043458485093447938364252e-17+/-0.368e-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)               0.3595153895400142548379061476280853e1+/-0.102e-29 
y[1] (numeric)                   0.3595153895400142548317375932065061e1+/-0.126e-28 
absolute error                   0.61685544215792e-19+/-0.136e-28 
relative error                   0.1715797042644439174655970294879134e-17+/-0.378e-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)               0.3611498882744654291475857387345094e1+/-0.115e-29 
y[1] (numeric)                   0.3611498882744654291410629950208069e1+/-0.13e-28 
absolute error                   0.65227437137025e-19+/-0.141e-28 
relative error                   0.1806104314435054744508951827315485e-17+/-0.39e-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)               0.3633723978720175806682119428834002e1+/-0.131e-29 
y[1] (numeric)                   0.3633723978720175806613586637293735e1+/-0.132e-28 
absolute error                   0.68532791540267e-19+/-0.145e-28 
relative error                   0.1886020840922671044847651919758662e-17+/-0.399e-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)               0.3662606284458754500391177772665234e1+/-0.147e-29 
y[1] (numeric)                   0.3662606284458754500319609191248301e1+/-0.135e-28 
absolute error                   0.71568581416933e-19+/-0.149e-28 
relative error                   0.1954034254804133894641153351367152e-17+/-0.406e-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)               0.3698856384453066285166497209532666e1+/-0.168e-29 
y[1] (numeric)                   0.3698856384453066285092192735374589e1+/-0.141e-28 
absolute error                   0.74304474158077e-19+/-0.157e-28 
relative error                   0.2008849937250647745471617100555544e-17+/-0.424e-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)               0.3743111246631052766202297848354817e1+/-0.190e-29 
y[1] (numeric)                   0.3743111246631052766125584714727025e1+/-0.143e-28 
absolute error                   0.76713133627792e-19+/-0.162e-28 
relative error                   0.2049448401963389018855819634617826e-17+/-0.432e-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)               0.379592785798293885201747271805669e1+/-0.214e-29 
y[1] (numeric)                   0.3795927857982938851938702224759836e1+/-0.148e-28 
absolute error                   0.78770493296854e-19+/-0.169e-28 
relative error                   0.2075131463080825527368286542736405e-17+/-0.445e-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)               0.3857777659331341847413211882633865e1+/-0.243e-29 
y[1] (numeric)                   0.3857777659331341847332755885926346e1+/-0.15e-28 
absolute error                   0.80455996707519e-19+/-0.174e-28 
relative error                   0.2085552974078454795854974490712034e-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.3929041834850409478218893330654485e1+/-0.276e-29 
y[1] (numeric)                   0.3929041834850409478137140527787623e1+/-0.152e-28 
absolute error                   0.81752802866862e-19+/-0.179e-28 
relative error                   0.2080731290303875748730181721148323e-17+/-0.455e-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)               0.4010007503399554542728427205268761e1+/-0.312e-29 
y[1] (numeric)                   0.4010007503399554542645779250752346e1+/-0.155e-28 
absolute error                   0.82647954516415e-19+/-0.186e-28 
relative error                   0.2061042390727417337211152437679047e-17+/-0.463e-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)               0.4100864849726720535507623945458561e1+/-0.355e-29 
y[1] (numeric)                   0.4100864849726720535424491437861775e1+/-0.159e-28 
absolute error                   0.83132507596786e-19+/-0.194e-28 
relative error                   0.2027194522207331615293466138326922e-17+/-0.473e-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)               0.4201705224205246915338339277716446e1+/-0.402e-29 
y[1] (numeric)                   0.4201705224205246915255137657102681e1+/-0.165e-28 
absolute error                   0.83201620613765e-19+/-0.205e-28 
relative error                   0.1980186999660419949185520901886241e-17+/-0.487e-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)               0.431252023009113511606340894889718e1+/-0.453e-29 
y[1] (numeric)                   0.4312520230091135115980554345884242e1+/-0.173e-28 
absolute error                   0.82854603012938e-19+/-0.218e-28 
relative error                   0.1921257144136041770447882216055951e-17+/-0.505e-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)               0.4433201807420538985717798460234323e1+/-0.512e-29 
y[1] (numeric)                   0.4433201807420538985635703538154881e1+/-0.179e-28 
absolute error                   0.82094922079442e-19+/-0.23e-28 
relative error                   0.1851820098557818135893550938891638e-17+/-0.518e-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)               0.4563543312709203662301342373328254e1+/-0.580e-29 
y[1] (numeric)                   0.4563543312709203662220412205034174e1+/-0.193e-28 
absolute error                   0.8093016829408e-19+/-0.251e-28 
relative error                   0.1773406380710667768074735382017824e-17+/-0.55e-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)               0.4703241583665852994129708274734046e1+/-0.655e-29 
y[1] (numeric)                   0.4703241583665852994050336295242428e1+/-0.203e-28 
absolute error                   0.79371979491618e-19+/-0.268e-28 
relative error                   0.1687601584559749677656064943681309e-17+/-0.569e-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)               0.4851899968289591841164329893645611e1+/-0.741e-29 
y[1] (numeric)                   0.4851899968289591841086893969066026e1+/-0.207e-28 
absolute error                   0.77435924579585e-19+/-0.281e-28 
relative error                   0.1595991778183402523617885039705192e-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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.5009032288085583300003431825649284e1+/-0.837e-29 
y[1] (numeric)                   0.5009032288085583299928290477670685e1+/-0.211e-28 
absolute error                   0.75141347978599e-19+/-0.294e-28 
relative error                   0.1500117061679342688930582946691767e-17+/-0.586e-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)               0.5174067695799859870627669515385639e1+/-0.807e-29 
y[1] (numeric)                   0.5174067695799859870555158339046051e1+/-0.221e-28 
absolute error                   0.72511176339588e-19+/-0.301e-28 
relative error                   0.140143462750690753769683500812872e-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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.534635637913638808536083181690225e1+/-0.104e-28 
y[1] (numeric)                   0.5346356379136388085291260127434055e1+/-0.231e-28 
absolute error                   0.69571689468195e-19+/-0.335e-28 
relative error                   0.1301291656121006841419470947697745e-17+/-0.626e-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)               0.5525176053466731088464971320340214e1+/-0.117e-28 
y[1] (numeric)                   0.5525176053466731088398619062594673e1+/-0.235e-28 
absolute error                   0.66352257745541e-19+/-0.352e-28 
relative error                   0.1200907574771463866054855236627421e-17+/-0.637e-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)               0.5709739178659300422344455118622838e1+/-0.132e-28 
y[1] (numeric)                   0.5709739178659300422281570069953683e1+/-0.239e-28 
absolute error                   0.62885048669155e-19+/-0.371e-28 
relative error                   0.1101364645590010840948303422474563e-17+/-0.649e-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)               0.5899200827920024703093237603663973e1+/-0.127e-28 
y[1] (numeric)                   0.5899200827920024703034032898217837e1+/-0.243e-28 
absolute error                   0.59204705446136e-19+/-0.370e-28 
relative error                   0.100360552510653798169823259279337e-17+/-0.627e-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)               0.6092667130021580316880860257782318e1+/-0.169e-28 
y[1] (numeric)                   0.6092667130021580316825512256932993e1+/-0.248e-28 
absolute error                   0.55348000849325e-19+/-0.417e-28 
relative error                   0.9084363164466685145205035103280564e-18+/-0.684e-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)               0.6289204200569220294019518175206155e1+/-0.19e-28 
y[1] (numeric)                   0.6289204200569220293968164705410013e1+/-0.255e-28 
absolute error                   0.51353469796142e-19+/-0.445e-28 
relative error                   0.816533668782675630881676493835877e-18+/-0.707e-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)               0.6487847473064945482570092178770842e1+/-0.216e-28 
y[1] (numeric)                   0.6487847473064945482522831154450237e1+/-0.263e-28 
absolute error                   0.47261024320605e-19+/-0.479e-28 
relative error                   0.7284546148289497809390814620372636e-18+/-0.738e-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)               0.6687611336537109262849491703672888e1+/-0.242e-28 
y[1] (numeric)                   0.668761133653710926280638014888793e1+/-0.271e-28 
absolute error                   0.43111554784958e-19+/-0.513e-28 
relative error                   0.6446480307463779278767040609126901e-18+/-0.767e-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)               0.6887498983439446569320215257649483e1+/-0.272e-28 
y[1] (numeric)                   0.6887498983439446569281268736332198e1+/-0.279e-28 
absolute error                   0.38946521317285e-19+/-0.551e-28 
relative error                   0.565466817649330104724253886343507e-18+/-0.8e-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)               0.7086512369422575404494329144121955e1+/-0.307e-28 
y[1] (numeric)                   0.708651236942257540445952160456673e1+/-0.287e-28 
absolute error                   0.34807539555225e-19+/-0.594e-28 
relative error                   0.4911801142888740175604438070540746e-18+/-0.838e-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  )   =  1.0  -  sin ( x )  ; 
Iterations                      98 
Total Elapsed Time              1 Minutes 48 Seconds
Elapsed Time(since restart)     1 Minutes 48 Seconds
Time to Timeout                 18 Minutes 12 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%