Li Benchmarks

num_quadrature_gauss greenvalidity pass

Tier 1 · wall_time · N=num_quadrature_gauss · 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: 0.825 (82.5% of rust speed) (table SOTA: rust — best competitor; charts use rust = 1.0)
Best competitor value: 0.0085 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=num_quadrature_gauss (family num_quadrature_gauss)
Category: micro
Pillar: numerics
Package: lic
Li / catalog oracle (mean ± σ): 0.0103 ± 0.002365 s (n=90) / 0.0093 ± 0.001106 s (n=83) (cpp)
Ratio vs catalog oracle: 1.1075×
Best competitor: rust (0.0085 s)
Li relative speed vs SOTA: 0.825 (1.0 = rust speed)
Validity: validity pass
Threshold: 1.2×
Source: lic/benchmarks/workloads/tier1_micro/num_quadrature_gauss

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	0.0103 ± 0.002365	90	s	release	linux
cpp	0.0093 ± 0.001106	83	s	release	linux
rust	0.0085 ± 0.00073	131	s	release	linux
julia	0.009 ± 0.00101	134	s	release	linux
Metric: wall_time (value = mean of timed runs)