Li Benchmarks

num_integ_semi_implicit greenvalidity pass

Tier 1 · wall_time · N=steps=500000 · variant algo_registry · 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: 0.781 (78.1% of rust speed) (table SOTA: rust — best competitor; charts use rust = 1.0)
Best competitor value: 0.0093 s

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

Problem size: N=steps=500000 (family num_integ_semi_implicit)
Category: micro
Pillar: numerics
Package: lic
Li / catalog oracle (mean ± σ): 0.0119 ± 0.001477 s (n=78) / 0.01 ± 0.001123 s (n=113) (cpp)
Ratio vs catalog oracle: 1.1900×
Best competitor: rust (0.0093 s)
Li relative speed vs SOTA: 0.781 (1.0 = rust speed)
Validity: validity pass
Threshold: 1.2×
Source: lic/benchmarks/workloads/tier1_micro/num_integ_semi_implicit

PH ids: PH-5b

Compare oracle: cpp

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

Language comparison
Lang	Mean ± σ	Runs	Unit	Variant	OS
li	0.0119 ± 0.001477	78	s	release	linux
cpp	0.01 ± 0.001123	113	s	release	linux
rust	0.0093 ± 0.000647	108	s	release	linux
julia	0.0098 ± 0.000956	112	s	release	linux
Metric: wall_time (value = mean of timed runs)