
   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:                   0.1
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -5.3723049984188975e-06, L(p,q)-L0 = 0.0000000000000000e+00
Current time                 = 50
Steps                        = 500
Step attempts                = 500
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.1
Last step size               = 0.0999999999995608
Current step size            = 0.1
f1 RHS fn evals              = 2000
f2 RHS fn evals              = 2000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.05
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -2.7764617138714698e-07, L(p,q)-L0 = -4.8849813083506888e-15
Current time                 = 50
Steps                        = 1000
Step attempts                = 1000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.05
Last step size               = 0.05
Current step size            = 0.05
f1 RHS fn evals              = 4000
f2 RHS fn evals              = 4000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.025
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -1.7250323836037751e-08, L(p,q)-L0 = 6.6613381477509392e-16
Current time                 = 50
Steps                        = 2001
Step attempts                = 2001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.025
Last step size               = 1.769251412042648e-12
Current step size            = 0.025
f1 RHS fn evals              = 8004
f2 RHS fn evals              = 8004


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.0125
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -1.0987308840526566e-09, L(p,q)-L0 = -4.5519144009631418e-15
Current time                 = 50
Steps                        = 4000
Step attempts                = 4000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.0125
Last step size               = 0.01249999999719619
Current step size            = 0.0125
f1 RHS fn evals              = 16000
f2 RHS fn evals              = 16000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.00625
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -6.9706684868720004e-11, L(p,q)-L0 = -7.5495165674510645e-15
Current time                 = 50
Steps                        = 8000
Step attempts                = 8000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.00625
Last step size               = 0.006249999992917305
Current step size            = 0.00625
f1 RHS fn evals              = 32000
f2 RHS fn evals              = 32000


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.003125
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -4.4091397199963467e-12, L(p,q)-L0 = -1.2212453270876722e-14
Current time                 = 50
Steps                        = 16001
Step attempts                = 16001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.003125
Last step size               = 1.124078607972478e-11
Current step size            = 0.003125
f1 RHS fn evals              = 64004
f2 RHS fn evals              = 64004


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.0015625
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -2.8488322811881517e-13, L(p,q)-L0 = 1.1879386363489175e-14
Current time                 = 50
Steps                        = 32001
Step attempts                = 32001
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.0015625
Last step size               = 2.835776058418557e-11
Current step size            = 0.0015625
f1 RHS fn evals              = 128004
f2 RHS fn evals              = 128004


   Begin Kepler Problem

Problem Arguments:
  stepper:              0
  step mode:            0
  use tstop:            1
  use compensated sums: 0
  dt:                   0.00078125
  Tf:                   50
  nout:                 1

t = 0.0000, H(p,q) = -0.5000000000000000, L(p,q) = 0.8000000000000000
t = 50.0000, H(p,q)-H0 = -4.5075054799781356e-14, L(p,q)-L0 = -3.5083047578154947e-14
Current time                 = 50
Steps                        = 64000
Step attempts                = 64000
Stability limited steps      = 0
Accuracy limited steps       = 0
Error test fails             = 0
NLS step fails               = 0
Inequality constraint fails  = 0
Initial step size            = 0.00078125
Last step size               = 0.0007812499550681189
Current step size            = 0.00078125
f1 RHS fn evals              = 256000
f2 RHS fn evals              = 256000

Order of accuracy wrt solution:    expected = 4, max = 3.9974,  avg = 3.5943,  overall = 3.7564
Order of accuracy wrt Hamiltonian: expected = 4, max = 4.2742,  avg = 3.8327,  overall = 3.8935
