HIRES isomerisation

ADVANTAGES3 · dim 8

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 →

An eight-species photochemical isomerisation with an extreme stiffness ratio, drawn from the Hairer–Wanner stiff test set. Included to show that SolvSRK matches implicit SciPy on clean precision and then separates under noise.

Chemistry & reaction kinetics

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 _hires_rhs(t, y):
    y1, y2, y3, y4, y5, y6, y7, y8 = y
    return np.array([
        -1.71*y1 + 0.43*y2 + 8.32*y3 + 0.0007,
        1.71*y1 - 8.75*y2,
        -10.03*y3 + 0.43*y4 + 0.035*y5,
        8.32*y2 + 1.71*y3 - 1.12*y4,
        -1.745*y5 + 0.43*y6 + 0.43*y7,
        -280.0*y6*y8 + 0.69*y4 + 1.71*y5 - 0.43*y6 + 0.69*y7,
        280.0*y6*y8 - 1.81*y7,
        -280.0*y6*y8 + 1.81*y7,
    ])
Parameters
  • No captured parameters; constants are explicit in the RHS excerpt.
Initial condition
y(0) = [1, 0, 0, 0, 0, 0, 0, 0.0057]
Horizon
t ∈ [0, 321.8122]

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: extreme

Default noise: clean

Recommendation snapshot

Clean best: SolvSRK (parity with implicit SciPy)

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: HIRES isomerisation (hires)

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%
8.02,1539 ms0.810
2SciPy DOP853SciPy
100%
7.865,210527 ms0.805
3SciPy RadauSciPy
100%
7.42,50950 ms0.795
4SciPy RK45SciPy
100%
6.371,528627 ms0.769
5Tsit5external
100%
6.074,8687.36 s0.762
6SciPy RK23SciPy
100%
5.241,978445 ms0.744
7CVODE Adamsexternal
100%
5.01,54834 ms0.739
8SciPy LSODASciPy
100%
4.81,3168 ms0.734
9SciPy BDFSciPy
100%
4.81,08731 ms0.733
10CVODE BDFexternal
100%
4.288427 ms0.720

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 →

SolvScout · free

Profile your problem for free

This page shows one published benchmark cell. SolvScout fingerprints your ODE, compares it to the full corpus, and recommends a solver with the same survival / precision / speed ranking you see here — including when a SciPy arm wins.

SolvSRK · 30-day trial

Run the winner on your machine

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_hires_2026,
  title        = {Resonix Evidence Portal: HIRES isomerisation},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/hires}},
  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