BDA (INT.SLO.LO)

ADVANTAGES1 · dim 9

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

BDA (INT.SLO.LO) benchmark in the defense-autonomy domain.

Defense autonomy

Problem definition

Canonical benchmark implementation

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs(t, y):
    x, yp, z = y[0], y[1], y[2]
    vx, vy, vz = y[3], y[4], y[5]
    omega = y[6]
    CD = y[7]
    integ = y[8]

    V = np.sqrt(vx**2 + vy**2 + vz**2 + 0.01)
    q_dyn = 0.5 * _RHO * V**2
    D = q_dyn * CD * A_ref / m

    wx = np.interp(t, _noise_ts, wind_noise[0])
    wy = np.interp(t, _noise_ts, wind_noise[1])
    wz = np.interp(t, _noise_ts, wind_noise[2])

    d = np.empty(9)

    # Position
    d[0] = vx
    d[1] = vy
    d[2] = vz

    # Velocity: drag + gravity + optional thrust + tumble-induced lift scatter
    f_thrust = thrust * integ
    d[3] = -D * vx / max(V, 0.01) + f_thrust * np.cos(heading) / m + wx
    d[4] = -D * vy / max(V, 0.01) + f_thrust * np.sin(heading) / m + wy
    d[5] = -D * vz / max(V, 0.01) + _G + wz

    # Tumble spin-up
    d[6] = (omega_target - omega) / tau_tumble

    # Drag coefficient transition
    d[7] = (CD_target - CD) / tau_damage

    # Integrity decay
    d[8] = -(integ - (0.0 if mode == "ballistic" else 0.3)) / 5.0 if mode != "intact" else 0.0

    return d
Parameters
  • A_ref = 0.05
  • CD_target = 0.3
  • _G = 9.81
  • _RHO = 1.225
  • _noise_ts = [0, 0.01, 0.02, 0.03, 0.04, 0.05, …] [shape=(3001,), min=0, max=30]
  • heading = 0.3
  • m = 3
  • mode = 'intact'
  • omega_target = 0
  • tau_damage = 0.5
  • tau_tumble = 1
  • thrust = 40
  • wind_noise = [0.0628651105467, -0.0660524316457, 0.320211325222, 0.0524500585765, -0.267834686581, 0.180797527455, …] [shape=(3, 3001), min=-1.94971086503, max=1.62859953736]
Initial condition
y(0) = [0, 0, -100, 14.3300473369, 4.43280309992, -1.5, 0, 0.3, 1]
Horizon
t ∈ [0, 30]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: low

Default noise: medium

Recommendation snapshot

Clean best: SolvSRK

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: BDA (INT.SLO.LO) (bda-int-slo-lo)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SolvSRK
100%
10.0221,1761.35 s0.857
2SciPy LSODASciPy
100%
7.8118,6181.10 s0.804
3CVODE BDFexternal
100%
7.481,8131.02 s0.794
4SciPy BDFSciPy
100%
7.097,6474.20 s0.787
5SciPy RK23SciPy
100%
6.999,2931.36 s0.784
6CVODE Adamsexternal
100%
6.962,363740 ms0.783
7FBDFexternal
100%
6.8121,8428.91 s0.780
8Vern9external
100%
6.4393,01014.67 s0.772
9Vern7external
100%
6.3285,16211.77 s0.770
10SciPy RadauSciPy
100%
5.9293,8368.36 s0.760
11Tsit5external
100%
5.9149,47213.35 s0.759
12SciPy DOP853SciPy
100%
5.7295,5143.44 s0.755
13SciPy RK45SciPy
100%
5.797,2621.19 s0.754
14TRBDF2external
100%
4.756,3006.98 s0.731

At Clean, best balanced arm is SolvSRK.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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SolvSRK · 30-day trial

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SolvSRK is the stiffness-adaptive integrator behind the SolvSRK column in these tables. Create an account, activate a machine, and take a 30-day trial — same binary you'd ship after purchase.

Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_bda_int_slo_lo_2026,
  title        = {Resonix Evidence Portal: BDA (INT.SLO.LO)},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/bda-int-slo-lo}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status