TERPSICHORE

[ddudt]

New objective function to wrap the TERPSICHORE stability code

[github-actions]

|             benchmark_name             |         dt(%)          |         dt(s)          |        t_new(s)        |        t_old(s)        | 
| -------------------------------------- | ---------------------- | ---------------------- | ---------------------- | ---------------------- |
 test_build_transform_fft_midres         |     -0.04 +/- 3.32     | -2.20e-04 +/- 2.04e-02 |  6.13e-01 +/- 1.7e-02  |  6.13e-01 +/- 1.1e-02  |
 test_build_transform_fft_highres        |     +0.83 +/- 1.61     | +8.35e-03 +/- 1.62e-02 |  1.02e+00 +/- 1.2e-02  |  1.01e+00 +/- 1.1e-02  |
 test_equilibrium_init_lowres            |     +0.91 +/- 1.35     | +3.53e-02 +/- 5.22e-02 |  3.91e+00 +/- 3.7e-02  |  3.87e+00 +/- 3.7e-02  |
 test_objective_compile_atf              |     -0.11 +/- 3.61     | -8.65e-03 +/- 2.83e-01 |  7.84e+00 +/- 2.0e-01  |  7.85e+00 +/- 2.0e-01  |
 test_objective_compute_atf              |     -1.01 +/- 2.24     | -1.06e-04 +/- 2.35e-04 |  1.04e-02 +/- 1.6e-04  |  1.05e-02 +/- 1.7e-04  |
 test_objective_jac_atf                  |     +3.07 +/- 3.43     | +5.76e-02 +/- 6.43e-02 |  1.93e+00 +/- 5.1e-02  |  1.88e+00 +/- 3.9e-02  |
 test_perturb_1                          |     -0.12 +/- 1.34     | -1.52e-02 +/- 1.70e-01 |  1.27e+01 +/- 1.5e-01  |  1.27e+01 +/- 8.0e-02  |
 test_proximal_jac_atf                   |     -0.18 +/- 0.79     | -1.44e-02 +/- 6.42e-02 |  8.10e+00 +/- 4.7e-02  |  8.11e+00 +/- 4.4e-02  |
 test_proximal_freeb_compute             |     -0.14 +/- 0.77     | -2.52e-04 +/- 1.41e-03 |  1.83e-01 +/- 1.2e-03  |  1.83e-01 +/- 6.9e-04  |
 test_build_transform_fft_lowres         |     -5.07 +/- 3.51     | -2.74e-02 +/- 1.90e-02 |  5.13e-01 +/- 1.7e-02  |  5.40e-01 +/- 8.4e-03  |
 test_equilibrium_init_medres            |     -3.41 +/- 8.99     | -1.48e-01 +/- 3.92e-01 |  4.20e+00 +/- 1.5e-01  |  4.35e+00 +/- 3.6e-01  |
 test_equilibrium_init_highres           |     +9.03 +/- 10.97    | +4.95e-01 +/- 6.01e-01 |  5.97e+00 +/- 2.6e-01  |  5.48e+00 +/- 5.4e-01  |
 test_objective_compile_dshape_current   |     +3.74 +/- 4.21     | +1.42e-01 +/- 1.60e-01 |  3.93e+00 +/- 1.6e-01  |  3.79e+00 +/- 3.4e-02  |
 test_objective_compute_dshape_current   |     +0.95 +/- 1.67     | +3.44e-05 +/- 6.01e-05 |  3.64e-03 +/- 5.5e-05  |  3.60e-03 +/- 2.5e-05  |
 test_objective_jac_dshape_current       |     +2.44 +/- 8.95     | +9.85e-04 +/- 3.62e-03 |  4.14e-02 +/- 2.8e-03  |  4.04e-02 +/- 2.3e-03  |
 test_perturb_2                          |     +6.69 +/- 3.09     | +1.15e+00 +/- 5.33e-01 |  1.84e+01 +/- 4.9e-01  |  1.72e+01 +/- 2.2e-01  |
 test_proximal_freeb_jac                 |     +1.30 +/- 1.63     | +9.56e-02 +/- 1.20e-01 |  7.44e+00 +/- 1.1e-01  |  7.35e+00 +/- 5.3e-02  |
 test_solve_fixed_iter                   |     +0.74 +/- 57.55    | +3.71e-02 +/- 2.89e+00 |  5.05e+00 +/- 2.1e+00  |  5.01e+00 +/- 2.0e+00  |