##############ECHO OF PROBLEM#################
##############temp/expt_c_sin_newpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  expt  (  2.0  ,  sin  (  x  )   )   *  cos  (  x  )   *  ln  (  2.0  )   ; 
!
#BEGIN FIRST INPUT BLOCK
#  ELIMINATED in preodein.rb
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
#  ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
#  ELIMINATED in preodein.rb
x_start=1.4 
x_end=1.0 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_iter=1000000 
#  ELIMINATED in preodein.rb
$glob_max_h=0.0001 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=10 
$glob_display_interval=0.01 
$glob_look_poles=true 
$glob_max_iter=1000000000 
$glob_max_minutes=10.0 
$glob_subiter_method=3 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK

def exact_soln_y (x)

return(expt(2.0,sin(x))) 

end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                      0.0
min_size                      1.0
$glob_desired_digits_correct  10
estimated_h                   -1.0e-06
estimated_answer              1.0
desired_abs_gbl_error         1.0e-10
range                         -0.3999999999999999
estimated_steps               399999.99999999994
step_error                    2.5000000000000007e-16
est_needed_step_err           2.5000000000000007e-16
opt_iter                        1
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
max_estimated_step_error      1.3056048922426392e-167
estimated_step_error          1.3056048922426392e-167
best_h                        -0.0001
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             1.4 
y[1] (analytic)                  1.9799304185155115 
y[1] (numeric)                   1.9799304185155115 
absolute error                   0.0 
relative error                   0.0%
Correct digits                   16 
h                                -0.0001 
NO INFO (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]                             1.389900000000001 
y[1] (analytic)                  1.9775070370376486 
y[1] (numeric)                   1.977507022343582 
absolute error                   1.4694066630127622e-08 
relative error                   7.430601436513558e-07%
Correct digits                   9 
h                                -0.0001 
NO INFO (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]                             1.3799000000000021 
y[1] (analytic)                  1.9749752329517367 
y[1] (numeric)                   1.974975202039042 
absolute error                   3.091269462629498e-08 
relative error                   1.565219356198904e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3699000000000032 
y[1] (analytic)                  1.9723124400095313 
y[1] (numeric)                   1.9723123911332303 
absolute error                   4.8876301006473e-08 
relative error                   2.4781216208440485e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3599000000000043 
y[1] (analytic)                  1.969519462715765 
y[1] (numeric)                   1.969519394049318 
absolute error                   6.866644697289814e-08 
relative error                   3.486456888230704e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3499000000000054 
y[1] (analytic)                  1.9665971432240679 
y[1] (numeric)                   1.966597052860836 
absolute error                   9.036323178612804e-08 
relative error                   4.594903033266145e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3399000000000065 
y[1] (analytic)                  1.9635463608414014 
y[1] (numeric)                   1.9635462467961708 
absolute error                   1.1404523059255212e-07 
relative error                   5.808125179365893e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3299000000000076 
y[1] (analytic)                  1.9603680315119965 
y[1] (numeric)                   1.9603678917225602 
absolute error                   1.397894362487051e-07 
relative error                   7.1307751402622105e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3199000000000087 
y[1] (analytic)                  1.9570631072812734 
y[1] (numeric)                   1.9570629396100698 
absolute error                   1.676712035880712e-07 
relative error                   8.56749089818559e-06%
Correct digits                   8 
h                                -0.0001 
NO INFO (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]                             1.3099000000000098 
y[1] (analytic)                  1.953632575740252 
y[1] (numeric)                   1.953632377976061 
absolute error                   1.9776419102335296e-07 
relative error                   1.0122895854580948e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.299900000000011 
y[1] (analytic)                  1.9500774594509647 
y[1] (numeric)                   1.9500772293106603 
absolute error                   2.301403043691863e-07 
relative error                   1.1801598098261248e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.289900000000012 
y[1] (analytic)                  1.946398815353409 
y[1] (numeric)                   1.946398550483758 
absolute error                   2.6486965110095184e-07 
relative error                   1.360819011045582e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2799000000000131 
y[1] (analytic)                  1.942597734154588 
y[1] (numeric)                   1.942597432134107 
absolute error                   3.0202048084682076e-07 
relative error                   1.5547247664131508e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2699000000000142 
y[1] (analytic)                  1.9386753397002 
y[1] (numeric)                   1.938674998041056 
absolute error                   3.4165914386541374e-07 
relative error                   1.7623329542028862e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2599000000000153 
y[1] (analytic)                  1.9346327883295593 
y[1] (numeric)                   1.934632404479518 
absolute error                   3.838500413078094e-07 
relative error                   1.984097672815941e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2499000000000164 
y[1] (analytic)                  1.930471268214333 
y[1] (numeric)                   1.930470839558751 
absolute error                   4.2865558191884645e-07 
relative error                   2.2204711822276882e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2399000000000175 
y[1] (analytic)                  1.9261919986816967 
y[1] (numeric)                   1.9261915225455555 
absolute error                   4.761361411809162e-07 
relative error                   2.4719038471075994e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2299000000000186 
y[1] (analytic)                  1.9217962295225248 
y[1] (numeric)                   1.921795703172511 
absolute error                   5.263500137964172e-07 
relative error                   2.7388440340898692e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2199000000000197 
y[1] (analytic)                  1.917285240285239 
y[1] (numeric)                   1.9172846609318548 
absolute error                   5.793533841558229e-07 
relative error                   3.0217380908311337e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.2099000000000208 
y[1] (analytic)                  1.9126603395559443 
y[1] (numeric)                   1.9126597043556592 
absolute error                   6.35200285037385e-07 
relative error                   3.3210302524747145e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.199900000000022 
y[1] (analytic)                  1.9079228642255015 
y[1] (numeric)                   1.9079221702829365 
absolute error                   6.939425649665765e-07 
relative error                   3.637162581246565e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.189900000000023 
y[1] (analytic)                  1.903074178744183 
y[1] (numeric)                   1.9030734231143238 
absolute error                   7.556298591282484e-07 
relative error                   3.9705749127807516e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1799000000000242 
y[1] (analytic)                  1.8981156743645706 
y[1] (numeric)                   1.898114854055019 
absolute error                   8.203095516190473e-07 
relative error                   4.321704744857877e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1699000000000253 
y[1] (analytic)                  1.8930487683733614 
y[1] (numeric)                   1.893047880346604 
absolute error                   8.880267574618017e-07 
relative error                   4.690987217539334e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1599000000000264 
y[1] (analytic)                  1.8878749033127507 
y[1] (numeric)                   1.8878739444884576 
absolute error                   9.588242930735902e-07 
relative error                   5.078855020484102e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1499000000000275 
y[1] (analytic)                  1.882595546192068 
y[1] (numeric)                   1.8825945134494124 
absolute error                   1.0327426556155928e-06 
relative error                   5.4857383345271617e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1399000000000286 
y[1] (analytic)                  1.8772121876903458 
y[1] (numeric)                   1.8772110778703475 
absolute error                   1.1098199983461399e-06 
relative error                   5.91206473953071e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1299000000000297 
y[1] (analytic)                  1.8717263413505023 
y[1] (numeric)                   1.8717251512583877 
absolute error                   1.1900921146335008e-06 
relative error                   6.35825915542128e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1199000000000308 
y[1] (analytic)                  1.8661395427658254 
y[1] (numeric)                   1.8661382691734 
absolute error                   1.2735924252993414e-06 
relative error                   6.824743788515066e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.1099000000000319 
y[1] (analytic)                  1.8604533487594428 
y[1] (numeric)                   1.8604519884074826 
absolute error                   1.3603519601890213e-06 
relative error                   7.311938034329691e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.099900000000033 
y[1] (analytic)                  1.8546693365574654 
y[1] (numeric)                   1.8546678861581154 
absolute error                   1.4503993499559442e-06 
relative error                   7.820258422172953e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.089900000000034 
y[1] (analytic)                  1.8487891029564942 
y[1] (numeric)                   1.8487875591956804 
absolute error                   1.5437608138491044e-06 
relative error                   8.350118525581942e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.0799000000000352 
y[1] (analytic)                  1.8428142634861746 
y[1] (numeric)                   1.8428126230260187 
absolute error                   1.640460155938328e-06 
relative error                   8.901928905384963e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.0699000000000363 
y[1] (analytic)                  1.836746451567484 
y[1] (numeric)                   1.836744711048726 
absolute error                   1.7405187580088466e-06 
relative error                   9.476097022120193e-05%
Correct digits                   7 
h                                -0.0001 
NO INFO (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]                             1.0599000000000374 
y[1] (analytic)                  1.830587317667437 
y[1] (numeric)                   1.8305854737118592 
absolute error                   1.8439555777849392e-06 
relative error                   0.00010073027164497875%
Correct digits                   6 
h                                -0.0001 
NO INFO (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]                             1.0499000000000385 
y[1] (analytic)                  1.8243385284508853 
y[1] (numeric)                   1.824336577663735 
absolute error                   1.950787150262201e-06 
relative error                   0.0001069312038220608%
Correct digits                   6 
h                                -0.0001 
NO INFO (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]                             1.0399000000000396 
y[1] (analytic)                  1.8180017659300907 
y[1] (numeric)                   1.817999704902501 
absolute error                   2.061027589705944e-06 
relative error                   0.00011336774409850592%
Correct digits                   6 
h                                -0.0001 
NO INFO (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]                             1.0299000000000407 
y[1] (analytic)                  1.811578726612742 
y[1] (numeric)                   1.8115765519241536 
absolute error                   2.174688588540974e-06 
relative error                   0.0001200438356111174%
Correct digits                   6 
h                                -0.0001 
NO INFO (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]                             1.0199000000000418 
y[1] (analytic)                  1.8050711206490802 
y[1] (numeric)                   1.8050688288696481 
absolute error                   2.2917794320065354e-06 
relative error                   0.0001269633869707273%
Correct digits                   6 
h                                -0.0001 
NO INFO (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]                             1.0099000000000429 
y[1] (analytic)                  1.7984806709787928 
y[1] (numeric)                   1.798478258671789 
absolute error                   2.4123070039294703e-06 
relative error                   0.00013413027133711772%
Correct digits                   6 
h                                -0.0001 
NO INFO (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  )   =  expt  (  2.0  ,  sin  (  x  )   )   *  cos  (  x  )   *  ln  (  2.0  )   ; 
Iterations                      4001 
Total Elapsed Time              3 Seconds
Elapsed Time(since restart)     3 Seconds
Expected Time Remaining         0.0 Seconds
Optimized Time Remaining        0.0 Seconds
Expected Total Time             3.0 Seconds
Time to Timeout                 9 Minutes 57.0 Seconds
Percent Done                    0.0%