8.4 KiB
📐 WFGY Metrics — Canonical Definitions
A single spec for measuring semantic accuracy, stability, cost, and safety across any LLM system.
Why read this?
– You can’t improve what you can’t measure.
– ΔS, λ_observe, and E_resonance already power the Problem Map, Semantic Clinic, and WFGY’s CI templates.
– Standard names = instant compatibility with Grafana, Prometheus, LangSmith, Phoenix, and custom OTEL traces.
0 · Metric Taxonomy
| Pillar | Metric | Symbol / Field | Primary Use |
|---|---|---|---|
| Semantic | Semantic Stress | deltaS |
Detect drift / wrong chunks |
| Answer F1 / EM | f1, em |
QA accuracy | |
| Logic | Logic Vector | lambda |
Convergence / divergence flag |
| Residual Coherence | e_resonance |
Slow entropy leaks | |
| Efficiency | Cost per 1 k tokens | usd_k |
Budget guard |
| Latency p95 (ms) | latency_p95 |
SLO gate | |
| Safety | Opcode / Tool Jailbreak | tool_offtrack |
Router drift |
| Citation Precision | cite_prec |
Hallucination check |
1 · Formal Definitions
1.1 deltaS — Semantic Stress
ΔS = 1 − cos( I , G )
I = embedding of live text, G = embedding of expected ground/anchor.
Target bands: stable < 0.40 · transitional 0.40-0.60 · risk ≥ 0.60
1.2 lambda — Logic Vector
λ ∈ {→ convergent, ← divergent, <> recursive, × chaotic}
Computed by PCA on consecutive embedding deltas; sign of first component.
1.3 e_resonance — Residual Coherence
E = mean_t‖B_t‖, where B_t = I_t − G_t + m·c² (see BBMC).
Flat or downward trend = healthy; upward slope > 0.02 = entropy leak.
2 · Reference Thresholds (production)
| Metric | PASS | WARN | FAIL |
|---|---|---|---|
deltaS_q_ctx |
≤ 0.45 | 0.45 – 0.60 | > 0.60 |
lambda |
all → | ← appears 1-2× | persistent ← / × |
e_resonance |
slope ≤ 0 | slope 0 – 0.02 | slope > 0.02 |
cite_prec |
≥ 0.90 | 0.80 – 0.90 | < 0.80 |
usd_k |
≤ baseline | +0 – 10 % | > 10 % jump |
latency_p95 |
within SLA | 1.2 × SLA | > 1.5 × SLA |
3 · Python Helper
from wfgy.metrics import deltaS, lambda_state, e_resonance
q = "How do I renew my passport?"
ctx = rag_retrieve(q)
print("ΔS:", deltaS(q, ctx)) # 0.37
ans = llm_reason(ctx, q)
print("λ :", lambda_state(ans)) # →
print("E :", e_resonance()) # rolling avg
4 · OpenTelemetry Mapping
# otel_map.yaml
deltaS: wfgy.semantic.deltaS
lambda: wfgy.logic.lambda
e_resonance: wfgy.logic.e_res
usd_k: wfgy.cost.usd_per_k
latency_p95: wfgy.latency.p95
Any WFGY-instrumented app auto-emits these names; map others via the file above.
5 · PromQL Alert Cookbook
- alert: SemanticDriftHigh
expr: wfgy_semantic_deltaS > 0.60
for: 1m
- alert: LogicVectorDivergent
expr: wfgy_logic_lambda == 1 # 1 = divergent
for: 2m
- alert: ResidualEntropyClimb
expr: slope(wfgy_logic_e_res[15m]) > 0.02
6 · CSV Schema (offline eval)
timestamp,id,set,question,deltaS_q_ctx,lambda,answer_f1,cite_prec,lat_ms,usd_k
Feed into wfgy-eval compare A.csv B.csv.
7 · FAQ
Q : Do I need separate GPU passes to compute embeddings for deltaS?
A : No. Use cached embeddings from retrieval; for answer ΔS, embed answer once after generation.
Q : Can I add BLEU, Rouge, or faithfulness scores?
A : Yes—map them under wfgy.custom.*. WFGY dashboards auto-discover.
Quick-Start Downloads (60 sec)
| Tool | Link | 3-Step Setup |
|---|---|---|
| WFGY 1.0 PDF | Engine Paper | 1️⃣ Download · 2️⃣ Upload to LLM · 3️⃣ Ask “Answer using WFGY + <question>” |
| TXT OS (plain-text OS) | TXTOS.txt | 1️⃣ Download · 2️⃣ Paste into any LLM chat · 3️⃣ Type “hello world” — OS boots instantly |
🧭 Explore More
| Module | Description | Link |
|---|---|---|
| WFGY Core | WFGY 2.0 engine is live: full symbolic reasoning architecture and math stack | View → |
| Problem Map 1.0 | Initial 16-mode diagnostic and symbolic fix framework | View → |
| Problem Map 2.0 | RAG-focused failure tree, modular fixes, and pipelines | View → |
| Semantic Clinic Index | Expanded failure catalog: prompt injection, memory bugs, logic drift | View → |
| Semantic Blueprint | Layer-based symbolic reasoning & semantic modulations | View → |
| Benchmark vs GPT-5 | Stress test GPT-5 with full WFGY reasoning suite | View → |
| 🧙♂️ Starter Village 🏡 | New here? Lost in symbols? Click here and let the wizard guide you through | Start → |
👑 Early Stargazers: See the Hall of Fame —
Engineers, hackers, and open source builders who supported WFGY from day one.
⭐ WFGY Engine 2.0 is already unlocked. ⭐ Star the repo to help others discover it and unlock more on the Unlock Board.
