##############ECHO OF PROBLEM#################
##############temp/mult2postode.ode#################
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   *  cos  (  x  )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(1.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_min_h=c(0.00000000001) 
#  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
#  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=(3.0) 
$glob_subiter_method=3 
$glob_max_iter=100000 
$glob_upper_ratio_limit=c(1.000001) 
$glob_lower_ratio_limit=c(0.999999) 
$glob_look_poles=true 
$glob_h=c(0.001) 
$glob_display_interval=c(0.01) 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return(c(2.0)    - expt(cos(c(x)),c(2))/c(2.0)) 
end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1 
y[1] (closed_form)               1.5049833555396894 
y[1] (numeric)                   1.5049833555396894 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.09735458557716259 
Order of pole (three term test)                   22.039469502998557 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.11000000000000001 
y[1] (closed_form)               1.5060256376673486 
y[1] (numeric)                   1.5060256376673484 
absolute error                   2.220446049250313e-16 
relative error                   1.4743746678107784e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.10648486626649993 
Order of pole (three term test)                   22.047624168390016 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.12000000000000002 
y[1] (closed_form)               1.5071655062869926 
y[1] (numeric)                   1.507165506286992 
absolute error                   6.661338147750939e-16 
relative error                   4.419778796664217e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.11544479388537077 
Order of pole (three term test)                   22.05650253861036 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.13000000000000003 
y[1] (closed_form)               1.5084025054663717 
y[1] (numeric)                   1.508402505466371 
absolute error                   6.661338147750939e-16 
relative error                   4.416154258303469e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.12422003446093423 
Order of pole (three term test)                   22.066090410161177 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.14000000000000004 
y[1] (closed_form)               1.5097361404223073 
y[1] (numeric)                   1.5097361404223064 
absolute error                   8.881784197001252e-16 
relative error                   5.883004294059501e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.13279654948022088 
Order of pole (three term test)                   22.07637244449329 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.15000000000000005 
y[1] (closed_form)               1.5111658777185986 
y[1] (numeric)                   1.511165877718598 
absolute error                   6.661338147750939e-16 
relative error                   4.4080787198606787e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.1411606183487589 
Order of pole (three term test)                   22.087332192545166 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.16000000000000006 
y[1] (closed_form)               1.5126911454793899 
y[1] (numeric)                   1.5126911454793894 
absolute error                   4.440892098500626e-16 
relative error                   2.9357559947197644e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.14929886034059803 
Order of pole (three term test)                   22.098952121057852 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.17000000000000007 
y[1] (closed_form)               1.5143113336179135 
y[1] (numeric)                   1.514311333617913 
absolute error                   4.440892098500626e-16 
relative error                   2.9326149781172666e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.15719825600461718 
Order of pole (three term test)                   22.111213640624534 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.18000000000000008 
y[1] (closed_form)               1.5160257940805162 
y[1] (numeric)                   1.516025794080516 
absolute error                   2.220446049250313e-16 
relative error                   1.4646492545973034e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.16484616799286836 
Order of pole (three term test)                   22.12409713542955 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.19000000000000009 
y[1] (closed_form)               1.5178338411058725 
y[1] (numeric)                   1.517833841105872 
absolute error                   4.440892098500626e-16 
relative error                   2.9258091223378274e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.17223036127763786 
Order of pole (three term test)                   22.137581994629546 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2000000000000001 
y[1] (closed_form)               1.5197347514992787 
y[1] (numeric)                   1.5197347514992783 
absolute error                   4.440892098500626e-16 
relative error                   2.9221494699121076e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.17933902272488075 
Order of pole (three term test)                   22.151646645326416 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2100000000000001 
y[1] (closed_form)               1.521727764921923 
y[1] (numeric)                   1.5217277649219223 
absolute error                   6.661338147750939e-16 
relative error                   4.3774834772057404e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.18616077999271483 
Order of pole (three term test)                   22.166268587079344 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2200000000000001 
y[1] (closed_form)               1.5238120841950091 
y[1] (numeric)                   1.5238120841950082 
absolute error                   8.881784197001252e-16 
relative error                   5.828661085656944e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.1926847197247424 
Order of pole (three term test)                   22.18142442790071 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.23000000000000012 
y[1] (closed_form)               1.5259868756186188 
y[1] (numeric)                   1.5259868756186181 
absolute error                   6.661338147750939e-16 
relative error                   4.365265687524674e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.19890040500909154 
Order of pole (three term test)                   22.197089921678266 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.24000000000000013 
y[1] (closed_form)               1.528251269305179 
y[1] (numeric)                   1.5282512693051784 
absolute error                   6.661338147750939e-16 
relative error                   4.358797719683572e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.20479789207524962 
Order of pole (three term test)                   22.213240006963773 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2500000000000001 
y[1] (closed_form)               1.5306043595274068 
y[1] (numeric)                   1.5306043595274061 
absolute error                   6.661338147750939e-16 
relative error                   4.3520966775553355e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.21036774620197418 
Order of pole (three term test)                   22.22984884706593 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.2600000000000001 
y[1] (closed_form)               1.5330452050805876 
y[1] (numeric)                   1.5330452050805867 
absolute error                   8.881784197001252e-16 
relative error                   5.79355662022658e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.21560105681083472 
Order of pole (three term test)                   22.246889871383612 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.27000000000000013 
y[1] (closed_form)               1.5355728296590438 
y[1] (numeric)                   1.5355728296590432 
absolute error                   6.661338147750939e-16 
relative error                   4.3380151166324113e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.22048945172123685 
Order of pole (three term test)                   22.264335817913132 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.28000000000000014 
y[1] (closed_form)               1.538186222246646 
y[1] (numeric)                   1.5381862222466456 
absolute error                   4.440892098500626e-16 
relative error                   2.8870965259423154e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.22502511054412644 
Order of pole (three term test)                   22.282158776861646 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.29000000000000015 
y[1] (closed_form)               1.5408843375212034 
y[1] (numeric)                   1.540884337521203 
absolute error                   4.440892098500626e-16 
relative error                   2.882041169712076e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.22920077719294177 
Order of pole (three term test)                   22.300330235296858 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.30000000000000016 
y[1] (closed_form)               1.5436660962725806 
y[1] (numeric)                   1.54366609627258 
absolute error                   6.661338147750939e-16 
relative error                   4.3152713944004894e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.23300977149180657 
Order of pole (three term test)                   22.318821122761666 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.31000000000000016 
y[1] (closed_form)               1.5465303858343664 
y[1] (numeric)                   1.5465303858343664 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.23644599986238476 
Order of pole (three term test)                   22.33760185778062 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3200000000000002 
y[1] (closed_form)               1.5494760605289268 
y[1] (numeric)                   1.5494760605289266 
absolute error                   2.220446049250313e-16 
relative error                   1.4330302389391837e-14%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2395039650723063 
Order of pole (three term test)                   22.356642395184025 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3300000000000002 
y[1] (closed_form)               1.5525019421256587 
y[1] (numeric)                   1.5525019421256585 
absolute error                   2.220446049250313e-16 
relative error                   1.4302372119484222e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2421787750295664 
Order of pole (three term test)                   22.375912274173817 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3400000000000002 
y[1] (closed_form)               1.555606820312268 
y[1] (numeric)                   1.555606820312268 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24446615060882906 
Order of pole (three term test)                   22.39538066705429 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3500000000000002 
y[1] (closed_form)               1.558789453178878 
y[1] (numeric)                   1.5587894531788777 
absolute error                   2.220446049250313e-16 
relative error                   1.424468227394086e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.246362432497115 
Order of pole (three term test)                   22.415016428549876 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3600000000000002 
y[1] (closed_form)               1.5620485677147764 
y[1] (numeric)                   1.562048567714776 
absolute error                   4.440892098500626e-16 
relative error                   2.842992330896279e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24786458704792164 
Order of pole (three term test)                   22.43478814563093 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3700000000000002 
y[1] (closed_form)               1.565382860317603 
y[1] (numeric)                   1.5653828603176028 
absolute error                   2.220446049250313e-16 
relative error                   1.4184683539973111e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24897021113441006 
Order of pole (three term test)                   22.454664187767847 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.3800000000000002 
y[1] (closed_form)               1.5687909973147738 
y[1] (numeric)                   1.5687909973147736 
absolute error                   2.220446049250313e-16 
relative error                   1.4153867870550932e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24967753599389572 
Order of pole (three term test)                   22.474612757533208 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.39000000000000024 
y[1] (closed_form)               1.5722716154969307 
y[1] (numeric)                   1.572271615496931 
absolute error                   2.220446049250313e-16 
relative error                   1.4122534728508222e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24998543005749158 
Order of pole (three term test)                   22.49460194147087 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.40000000000000024 
y[1] (closed_form)               1.5758233226632088 
y[1] (numeric)                   1.5758233226632088 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24989340076037625 
Order of pole (three term test)                   22.51459976115064 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.41000000000000025 
y[1] (closed_form)               1.5794446981780967 
y[1] (numeric)                   1.5794446981780967 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24940159532979342 
Order of pole (three term test)                   22.53457422432703 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.42000000000000026 
y[1] (closed_form)               1.583134293539673 
y[1] (numeric)                   1.583134293539673 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24851080054951896 
Order of pole (three term test)                   22.554493376119936 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.43000000000000027 
y[1] (closed_form)               1.5868906329589871 
y[1] (numeric)                   1.5868906329589871 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2472224415011753 
Order of pole (three term test)                   22.57432535013568 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4400000000000003 
y[1] (closed_form)               1.5907122139503551 
y[1] (numeric)                   1.590712213950355 
absolute error                   2.220446049250313e-16 
relative error                   1.3958816873204769e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2455385792844045 
Order of pole (three term test)                   22.594038419446438 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4500000000000003 
y[1] (closed_form)               1.594597507932334 
y[1] (numeric)                   1.5945975079323338 
absolute error                   2.220446049250313e-16 
relative error                   1.3924805715578334e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2434619077195487 
Order of pole (three term test)                   22.613601047346542 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4600000000000003 
y[1] (closed_form)               1.5985449608391344 
y[1] (numeric)                   1.5985449608391344 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.24099574903811202 
Order of pole (three term test)                   22.63298193780449 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4700000000000003 
y[1] (closed_form)               1.6025529937422256 
y[1] (numeric)                   1.6025529937422256 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.23814404856789867 
Order of pole (three term test)                   22.652150085529914 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4800000000000003 
y[1] (closed_form)               1.606620003481886 
y[1] (numeric)                   1.6066200034818858 
absolute error                   2.220446049250313e-16 
relative error                   1.382060502444969e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.23491136842133115 
Order of pole (three term test)                   22.671074825575445 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.4900000000000003 
y[1] (closed_form)               1.610744363308446 
y[1] (numeric)                   1.6107443633084455 
absolute error                   4.440892098500626e-16 
relative error                   2.7570433891689038e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.23130288019704195 
Order of pole (three term test)                   22.689725882394075 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5000000000000003 
y[1] (closed_form)               1.6149244235329652 
y[1] (numeric)                   1.6149244235329652 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.22732435670642018 
Order of pole (three term test)                   22.708073418273575 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5100000000000003 
y[1] (closed_form)               1.6191585121870877 
y[1] (numeric)                   1.6191585121870875 
absolute error                   2.220446049250313e-16 
relative error                   1.3713580434141886e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2229821627383448 
Order of pole (three term test)                   22.726088081070454 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5200000000000004 
y[1] (closed_form)               1.6234449356918055 
y[1] (numeric)                   1.6234449356918055 
absolute error                   0.0 
relative error                   0.0%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.21828324487687897 
Order of pole (three term test)                   22.743741051167184 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5300000000000004 
y[1] (closed_form)               1.6277819795348683 
y[1] (numeric)                   1.627781979534868 
absolute error                   2.220446049250313e-16 
relative error                   1.3640930279156893e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.2132351203882189 
Order of pole (three term test)                   22.761004087577355 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5400000000000004 
y[1] (closed_form)               1.632167908956565 
y[1] (numeric)                   1.6321679089565648 
absolute error                   2.220446049250313e-16 
relative error                   1.3604274640283981e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.20784586519467058 
Order of pole (three term test)                   22.777849573125305 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5500000000000004 
y[1] (closed_form)               1.636600969643606 
y[1] (numeric)                   1.6366009696436057 
absolute error                   2.220446049250313e-16 
relative error                   1.3567424744553635e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.20212410095489736 
Order of pole (three term test)                   22.794250558627677 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5600000000000004 
y[1] (closed_form)               1.6410793884308221 
y[1] (numeric)                   1.641079388430822 
absolute error                   2.220446049250313e-16 
relative error                   1.353039996056177e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.19607898127110465 
Order of pole (three term test)                   22.810180806006333 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5700000000000004 
y[1] (closed_form)               1.6456013740104107 
y[1] (numeric)                   1.6456013740104103 
absolute error                   4.440892098500626e-16 
relative error                   2.698643893130665e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.18972017704523028 
Order of pole (three term test)                   22.82561483026377 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5800000000000004 
y[1] (closed_form)               1.6501651176484318 
y[1] (numeric)                   1.6501651176484315 
absolute error                   2.220446049250313e-16 
relative error                   1.3455902233678048e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.18305786100756252 
Order of pole (three term test)                   22.840527940253576 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.5900000000000004 
y[1] (closed_form)               1.6547687939082798 
y[1] (numeric)                   1.6547687939082791 
absolute error                   6.661338147750939e-16 
relative error                   4.025540107036949e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.1761026914425437 
Order of pole (three term test)                   22.85489627818106 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6000000000000004 
y[1] (closed_form)               1.6594105613808319 
y[1] (numeric)                   1.6594105613808314 
absolute error                   4.440892098500626e-16 
relative error                   2.6761864735905155e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.16886579513778766 
Order of pole (three term test)                   22.868696857770622 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6100000000000004 
y[1] (closed_form)               1.6640885634209885 
y[1] (numeric)                   1.664088563420988 
absolute error                   4.440892098500626e-16 
relative error                   2.6686633128294325e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.16135874958359253 
Order of pole (three term test)                   22.88190760103889 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6200000000000004 
y[1] (closed_form)               1.668800928890306 
y[1] (numeric)                   1.6688009288903058 
absolute error                   2.220446049250313e-16 
relative error                   1.3305637663605759e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.15359356445142777 
Order of pole (three term test)                   22.894507373614772 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6300000000000004 
y[1] (closed_form)               1.673545772905428 
y[1] (numeric)                   1.6735457729054275 
absolute error                   4.440892098500626e-16 
relative error                   2.6535826927463315e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.14558266238102016 
Order of pole (three term test)                   22.906476018549945 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6400000000000005 
y[1] (closed_form)               1.6783211975920114 
y[1] (numeric)                   1.6783211975920107 
absolute error                   6.661338147750939e-16 
relative error                   3.9690484499083745e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.13733885910678129 
Order of pole (three term test)                   22.917794388565706 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6500000000000005 
y[1] (closed_form)               1.6831252928438534 
y[1] (numeric)                   1.6831252928438527 
absolute error                   6.661338147750939e-16 
relative error                   3.957719711107047e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.12887534295536573 
Order of pole (three term test)                   22.928444376684475 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6600000000000005 
y[1] (closed_form)               1.687956137086907 
y[1] (numeric)                   1.687956137086906 
absolute error                   8.881784197001252e-16 
relative error                   5.2618572259404393e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.12020565374716156 
Order of pole (three term test)                   22.93840894519714 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6700000000000005 
y[1] (closed_form)               1.6928117980478854 
y[1] (numeric)                   1.6928117980478845 
absolute error                   8.881784197001252e-16 
relative error                   5.246764115918578e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.1113436611354673 
Order of pole (three term test)                   22.947672152919747 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6800000000000005 
y[1] (closed_form)               1.6976903335271454 
y[1] (numeric)                   1.6976903335271445 
absolute error                   8.881784197001252e-16 
relative error                   5.231686852188368e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.10230354241800398 
Order of pole (three term test)                   22.95621918069598 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.6900000000000005 
y[1] (closed_form)               1.7025897921755417 
y[1] (numeric)                   1.7025897921755406 
absolute error                   1.1102230246251565e-15 
relative error                   6.520789856296105e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.09309975985626336 
Order of pole (three term test)                   22.96403635510467 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7000000000000005 
y[1] (closed_form)               1.70750821427494 
y[1] (numeric)                   1.707508214274939 
absolute error                   1.1102230246251565e-15 
relative error                   6.502006932344926e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.08374703753897571 
Order of pole (three term test)                   22.97111117033433 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7100000000000005 
y[1] (closed_form)               1.7124436325220787 
y[1] (numeric)                   1.7124436325220778 
absolute error                   8.881784197001252e-16 
relative error                   5.186614045754139e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.07426033782670755 
Order of pole (three term test)                   22.97743230818981 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7200000000000005 
y[1] (closed_form)               1.717394072815464 
y[1] (numeric)                   1.7173940728154629 
absolute error                   1.1102230246251565e-15 
relative error                   6.464579342614578e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.06465483741527729 
Order of pole (three term test)                   22.982989656198985 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7300000000000005 
y[1] (closed_form)               1.722357555044983 
y[1] (numeric)                   1.722357555044982 
absolute error                   1.1102230246251565e-15 
relative error                   6.445949747038214e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.054945903056278875 
Order of pole (three term test)                   22.98777432379054 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7400000000000005 
y[1] (closed_form)               1.727332093883923 
y[1] (numeric)                   1.7273320938839218 
absolute error                   1.1102230246251565e-15 
relative error                   6.427386074491382e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.04514906697355752 
Order of pole (three term test)                   22.991778656517003 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7500000000000006 
y[1] (closed_form)               1.7323156995830746 
y[1] (numeric)                   1.7323156995830735 
absolute error                   1.1102230246251565e-15 
relative error                   6.40889547380053e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.035280002014966456 
Order of pole (three term test)                   22.994996248300218 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7600000000000006 
y[1] (closed_form)               1.7373063787666054 
y[1] (numeric)                   1.7373063787666043 
absolute error                   1.1102230246251565e-15 
relative error                   6.390484938030076e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.02535449657914978 
Order of pole (three term test)                   22.997421951679733 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             0.7700000000000006 
y[1] (closed_form)               1.7423021352293837 
y[1] (numeric)                   1.7423021352293824 
absolute error                   1.3322676295501878e-15 
relative error                   7.64659356498342e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.001 
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.015388429357477666 
Order of pole (three term test)                   22.999051886047578 
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
 
TOP MAIN SOLVE Loop
x[1]                             0.780403100356254 
y[1] (closed_form)               1.74750251002256 
y[1] (numeric)                   1.7475025100225587 
absolute error                   1.3322676295501878e-15 
relative error                   7.623838145634414e-14%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   16 
h                                0.0005549563522943226 
SETTING H FOR POLE
NO POLE (given) for Equation 1
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.004994730700912014 
Order of pole (three term test)                   22.999900200701 
NO COMPLEX POLE (six term test) for Equation 1
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
SETTING H FOR POLE
 
TOP MAIN SOLVE Loop
x[1]                             0.7900002670303286 
y[1] (closed_form)               1.7523010193267112 
y[1] (numeric)                   1.7523010193268567 
absolute error                   1.454392162258955e-13 
relative error                   8.29989908250911e-12%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   14 
h                                5.089696558970337e-07 
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]                             0.7999999938591235 
y[1] (closed_form)               1.7572998775061932 
y[1] (numeric)                   1.7572998775066435 
absolute error                   4.503064587879635e-13 
relative error                   2.5624906969606072e-11%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   13 
h                                5.089696558970337e-07 
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]                             0.8100002296575742 
y[1] (closed_form)               1.762296070168356 
y[1] (numeric)                   1.7622960701691286 
absolute error                   7.724931805341839e-13 
relative error                   4.3834472175857825e-11%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   13 
h                                5.089696558970337e-07 
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]                             0.8199999564863691 
y[1] (closed_form)               1.7672870904587776 
y[1] (numeric)                   1.7672870904598532 
absolute error                   1.0755840662568517e-12 
relative error                   6.086074368243341e-11%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   13 
h                                5.089696558970337e-07 
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]                             0.8300001922848199 
y[1] (closed_form)               1.77227144999426 
y[1] (numeric)                   1.7722714499956402 
absolute error                   1.3802292642139946e-12 
relative error                   7.787911181543125e-11%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   13 
h                                5.089696558970337e-07 
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!
Maximum Iterations Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =  sin  (  x  )   *  cos  (  x  )   ; 
Iterations                      100000 
Total Elapsed Time              31 Seconds
Elapsed Time(since restart)     31 Seconds
Expected Time Remaining         6.912226779425424 Seconds
Optimized Time Remaining        6.912226779425424 Seconds
Expected Total Time             37.912226779425424 Seconds
Time to Timeout                 2 Minutes 29.0 Seconds
Percent Done                    81.76781643652592%