Li Benchmarks

num_eig_symmetric yellowvalidity pass

Tier 1 · wall_time · N=n=32 · variant algo_registry · OS linux

Validity gate

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: 0.752 (75.2% of rust speed) (table SOTA: rust — best competitor; charts use rust = 1.0)
Best competitor value: 0.0085 s

Numeric oracle

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

Problem size: N=n=32 (family num_eig_symmetric)
Category: micro
Pillar: numerics
Package: lic
Li / catalog oracle (mean ± σ): 0.0113 ± 0.001063 s (n=91) / 0.0092 ± 0.00093 s (n=93) (cpp)
Ratio vs catalog oracle: 1.2283×
Best competitor: rust (0.0085 s)
Li relative speed vs SOTA: 0.752 (1.0 = rust speed)
Validity: validity pass
Threshold: 1.2×
Source: lic/benchmarks/workloads/tier1_micro/num_eig_symmetric

PH ids: PH-5b

Performance vs best competitor

Compare oracle: cpp

Relative speed vs best competitor (rust) — SOTA = 1.0, higher is better. Absolute s values are in the table below.Validity gate not passed — bars are informational only.

rust (release)SOTA
1.000
julia (release)
0.966
cpp (release)
0.924
li (release)
0.752

Absolute measurements

Language comparison
Lang	Mean ± σ	Runs	Unit	Variant	OS
li	0.0113 ± 0.001063	91	s	release	linux
cpp	0.0092 ± 0.00093	93	s	release	linux
rust	0.0085 ± 0.000735	102	s	release	linux
julia	0.0088 ± 0.000841	116	s	release	linux
Metric: wall_time (value = mean of timed runs)

Host OS

Measurement hosts by language
Scope	OS
Row aggregate	linux
li (release)	linux
cpp (release)	linux
rust (release)	linux
julia (release)	linux

← Overview