Li Benchmarks

matmul_blocked greenvalidity pass

Tier 1 · wall_time · N=512 block=64 · 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: 2.639 (263.9% of rust speed) (table SOTA: li — Li leads; charts use rust = 1.0)
Best competitor value: 0.0083 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=512 block=64 (family matmul_blocked)
Category: micro
Pillar: numerics
Package: lic
Li / catalog oracle (mean ± σ): 0.0083 ± 0.003346 s (n=89) / 0.023 ± 0.001614 s (n=43) (cpp)
Ratio vs catalog oracle: 0.3609×
Best competitor: li (0.0083 s)
Li relative speed vs SOTA: 2.639 (1.0 = rust speed)
Validity: validity pass
Threshold: 1.2×
Source: lic/benchmarks/workloads/tier1_micro/matmul_blocked

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	0.0083 ± 0.003346	89	s	release	linux
cpp	0.023 ± 0.001614	43	s	release	linux
rust	0.0219 ± 0.00169	48	s	release	linux
julia	0.0236 ± 0.001799	47	s	release	linux
Metric: wall_time (value = mean of timed runs)