
   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 = 8.9150805802473698e-04, L(p,q)-L0 = 2.5535129566378600e-15
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              = 1500
f2 RHS fn evals              = 1500


   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 = 4.0241516751526873e-05, L(p,q)-L0 = -2.2204460492503131e-16
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              = 3000
f2 RHS fn evals              = 3000


   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 = 1.1101319374873242e-06, L(p,q)-L0 = 0.0000000000000000e+00
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              = 6003
f2 RHS fn evals              = 6003


   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 = -1.1448823866722080e-07, L(p,q)-L0 = -3.3306690738754696e-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              = 12000
f2 RHS fn evals              = 12000


   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 = -3.0290784103215174e-08, L(p,q)-L0 = -3.5527136788005009e-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              = 24000
f2 RHS fn evals              = 24000


   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 = -4.7862143137678004e-09, L(p,q)-L0 = -1.0436096431476471e-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              = 48003
f2 RHS fn evals              = 48003


   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 = -6.6073679860778611e-10, L(p,q)-L0 = -4.4408920985006262e-16
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              = 96003
f2 RHS fn evals              = 96003


   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 = -8.6430862467068437e-11, L(p,q)-L0 = 4.5519144009631418e-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              = 192000
f2 RHS fn evals              = 192000

Order of accuracy wrt solution:    expected = 3, max = 4.0232,  avg = 3.9269,  overall = 3.9563
Order of accuracy wrt Hamiltonian: expected = 3, max = 5.1799,  avg = 3.3283,  overall = 3.1911
