Li Benchmarks

harmonic_oscillator_chain greenvalidity pass

Tier 2 · wall_time · tier2 default grid · OS linux

passpass — perf claims allowed when ratio is green

Source: latest.csv:perf_present

Wall-clock row exists only — no explicit correctness signal yet.

Ratio vs best competitor: 0.989 (98.9% of julia speed) (table SOTA: julia — best competitor; charts use julia = 1.0)
Best competitor value: 0.0951 s

No analytical verify rows in ingest yet. Run tier-1 with --verify so latest.csv exports verify_ulps / verify_within_1ulp.

Problem size: tier2 default grid (family harmonic_oscillator_chain)
Category: physics
Pillar: physics
Package: lic
Li / catalog oracle (mean ± σ): 0.0962 ± 0.00995 s (n=20) / 0.1008 ± 0.011781 s (n=20) (cpp)
Ratio vs catalog oracle: 0.9544×
Best competitor: julia (0.0951 s)
Li relative speed vs SOTA: 0.989 (1.0 = julia speed)
Validity: validity pass
Threshold: 1.2×
Source: lic/benchmarks/workloads/tier2_physics/harmonic_oscillator_chain

PH ids: PH-5b

Compare oracle: cpp

Relative speed vs best competitor (julia) — SOTA = 1.0, higher is better. Absolute s values are in the table below.

Language comparison
Lang	Mean ± σ	Runs	Unit	Variant	OS
li	0.0962 ± 0.00995	20	s	release	linux
cpp	0.1008 ± 0.011781	20	s	release	linux
rust	0.0954 ± 0.007296	20	s	release	linux
julia	0.0951 ± 0.007603	20	s	release	linux
Metric: wall_time (value = mean of timed runs)