
   Begin Kepler Problem

Problem Arguments:
  stepper:              1
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.001
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -2.2382096176443156e-13, L(p,q)-L0 = -4.9960036108132044e-14
Current time                 = 50
Steps                        = 50001
Step attempts                = 50001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.001
Last step size               = 2.582822844487962e-11
Current step size            = 0.001
Explicit RHS fn evals        = 400008
Implicit RHS fn evals        = 0
NLS iters                    = 0
NLS fails                    = 0
NLS iters per step           = 0
LS setups                    = 0

   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.001
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -1.0321183419037538e-07, L(p,q)-L0 = 1.0436096431476471e-14
Current time                 = 50
Steps                        = 50001
Step attempts                = 50001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.001
Last step size               = 2.582822844487962e-11
Current step size            = 0.001
f1 RHS fn evals              = 100002
f2 RHS fn evals              = 100002


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.0005
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -2.5832368022449259e-08, L(p,q)-L0 = 2.1094237467877974e-14
Current time                 = 50
Steps                        = 100000
Step attempts                = 100000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.0005
Last step size               = 0.0004999999432868658
Current step size            = 0.0005
f1 RHS fn evals              = 200000
f2 RHS fn evals              = 200000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.00025
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -6.4599039450996543e-09, L(p,q)-L0 = 4.4297898682543746e-14
Current time                 = 50
Steps                        = 200000
Step attempts                = 200000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.00025
Last step size               = 0.0002499998522722533
Current step size            = 0.00025
f1 RHS fn evals              = 400000
f2 RHS fn evals              = 400000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.000125
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -1.6152086335097238e-09, L(p,q)-L0 = -6.2394533983933798e-14
Current time                 = 50
Steps                        = 400001
Step attempts                = 400001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.000125
Last step size               = 3.183586727573126e-10
Current step size            = 0.000125
f1 RHS fn evals              = 800002
f2 RHS fn evals              = 800002


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   6.25e-05
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -4.0367864606594139e-10, L(p,q)-L0 = 2.3758772726978350e-14
Current time                 = 50
Steps                        = 800001
Step attempts                = 800001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 6.25e-05
Last step size               = 7.503473398173804e-10
Current step size            = 6.25e-05
f1 RHS fn evals              = 1600002
f2 RHS fn evals              = 1600002


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   3.125e-05
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -1.0080203338702631e-10, L(p,q)-L0 = 5.5733195836182858e-14
Current time                 = 50
Steps                        = 1600001
Step attempts                = 1600001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 3.125e-05
Last step size               = 9.66345226061093e-10
Current step size            = 3.125e-05
f1 RHS fn evals              = 3200002
f2 RHS fn evals              = 3200002


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   1.5625e-05
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -2.5249136115235160e-11, L(p,q)-L0 = 1.5543122344752192e-14
Current time                 = 50
Steps                        = 3200000
Step attempts                = 3200000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 1.5625e-05
Last step size               = 1.562198162474714e-05
Current step size            = 1.5625e-05
f1 RHS fn evals              = 6400000
f2 RHS fn evals              = 6400000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   7.8125e-06
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -6.0400573431707016e-12, L(p,q)-L0 = 2.0916601783937949e-13
Current time                 = 50
Steps                        = 6400000
Step attempts                = 6400000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 7.8125e-06
Last step size               = 7.805897645596353e-06
Current step size            = 7.8125e-06
f1 RHS fn evals              = 12800000
f2 RHS fn evals              = 12800000

Order of accuracy wrt solution:    expected = 2, max = 2.0097,  avg = 1.8616,  overall = 1.9108
Order of accuracy wrt Hamiltonian: expected = 2, max = 2.0636,  avg = 2.0087,  overall = 2.0051
