##############ECHO OF PROBLEM#################
##############temp/expt_sin_sin_new_sm_hpostode.ode#################
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=1.8 
x_end=1.81 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_iter=1000000 
$glob_max_h=0.000001 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=10 
$glob_display_interval=0.001 
$glob_look_poles=true 
$glob_max_iter=10000000 
$glob_max_minutes=3 
$glob_subiter_method=3 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
return(expt(sin(2.0*x+3.0),sin(x+1.0))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                      0.0
min_size                      1.0
opt_iter                        1
$glob_desired_digits_correct  10
desired_abs_gbl_error         1.0e-10
range                         0.010000000000000009
estimated_steps               10000.00000000001
step_error                    9.99999999999999e-15
est_needed_step_err           9.99999999999999e-15
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
value3                        1.1465727285494697e-137
max_value3                    1.1465727285494697e-137
value3                        1.1465727285494697e-137
best_h                        1.0e-06
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             1.8 
y[1] (analytic)                  0.6766027626496453 
y[1] (numeric)                   0.6766027626496453 
absolute error                   0.0 
relative error                   0.0%
Correct digits                   16 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8010009999999177 
y[1] (analytic)                  0.6787259139185762 
y[1] (numeric)                   0.6787259102669944 
absolute error                   3.6515818147009327e-09 
relative error                   5.380053626682357e-07%
Correct digits                   8 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8020009999998354 
y[1] (analytic)                  0.6808368151795497 
y[1] (numeric)                   0.6808368079358343 
absolute error                   7.243715405280682e-09 
relative error                   1.0639429660351687e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8030009999997532 
y[1] (analytic)                  0.6829376415361824 
y[1] (numeric)                   0.6829376307552721 
absolute error                   1.078091027562067e-08 
relative error                   1.5786082974384553e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.804000999999671 
y[1] (analytic)                  0.6850284413339742 
y[1] (numeric)                   0.685028427069999 
absolute error                   1.4263975223194336e-08 
relative error                   2.0822456941229643e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8050009999995886 
y[1] (analytic)                  0.6871092622848669 
y[1] (numeric)                   0.6871092445911511 
absolute error                   1.769371582582835e-08 
relative error                   2.5750949371561165e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8060009999995064 
y[1] (analytic)                  0.6891801514826514 
y[1] (numeric)                   0.6891801304117373 
absolute error                   2.1070914124621254e-08 
relative error                   3.057388417134597e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.807000999999424 
y[1] (analytic)                  0.6912411554179351 
y[1] (numeric)                   0.6912411310215897 
absolute error                   2.4396345388311147e-08 
relative error                   3.5293537135474435e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8080009999993418 
y[1] (analytic)                  0.6932923199926818 
y[1] (numeric)                   0.69329229232192 
absolute error                   2.767076179299721e-08 
relative error                   3.991211354149906e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8090009999992596 
y[1] (analytic)                  0.6953336905343417 
y[1] (numeric)                   0.6953336596394286 
absolute error                   3.089491307228798e-08 
relative error                   4.443177929225064e-06%
Correct digits                   7 
h                                1.0e-06 
NO POLE for equation 1
Finished!
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
Iterations                       10001 
Total Elapsed Time              33.0 Seconds
Elapsed Time(since restart)     33.0 Seconds
Time to Timeout                 2 Minutes 27.0 Seconds
Percent Done                    100.0199999917716%