# Eval Observability — λ_observe
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A core probe for evaluating **semantic convergence** across multiple seeds, paraphrases, and retrieval variations.
While ΔS measures semantic distance, **λ_observe** captures **stability vs divergence of reasoning paths**.
---
## Why λ_observe matters
- **Detect fragile reasoning**: Even when ΔS looks safe, λ divergence indicates unstable chains.
- **Identify paraphrase sensitivity**: If λ flips across harmless rewordings, the system is brittle.
- **Audit retrieval randomness**: Different seeds producing opposite λ signals reveal weak schema.
- **Ensure eval reproducibility**: Stable λ means tests repeat reliably under small perturbations.
---
## λ state encoding
| Symbol | Meaning | Example failure |
|--------|---------|-----------------|
| **→** | Forward convergence, stable path | Same citations and reasoning across paraphrases |
| **←** | Backward collapse, early abort | Tool call retries, empty citations |
| **<>** | Split state, partial divergence | One paraphrase cites correct snippet, others miss |
| **×** | Total collapse | Random answers, no citation alignment |
---
## Acceptance targets
- **Convergence rate ≥ 0.80** across 3 paraphrases × 2 seeds.
- **No × states** tolerated in gold-set eval.
- **Split states (<>): ≤ 10%** of test cases acceptable.
- **Forward (→)** must dominate stable runs.
---
## Evaluation workflow
1. **Run triple paraphrase probe**
Ask the same question three ways. Collect λ states.
2. **Repeat with two seeds**
Track variance.
3. **Roll-up stats**
Compute convergence ratio, collapse frequency, divergence rate.
4. **Escalation**
If λ <0.80 or × >0%, run root-cause: schema audit, retriever split, prompt ordering.
---
## Example probe schema
```json
{
"query_id": "Q42",
"runs": [
{"paraphrase": 1, "seed": 123, "λ": "→"},
{"paraphrase": 2, "seed": 123, "λ": "→"},
{"paraphrase": 3, "seed": 123, "λ": "<>"},
{"paraphrase": 1, "seed": 456, "λ": "→"},
{"paraphrase": 2, "seed": 456, "λ": "×"},
{"paraphrase": 3, "seed": 456, "λ": "→"}
]
}
````
---
## Common pitfalls
* **Only measuring ΔS** → misses hidden divergence.
* **Seed-fixed eval** → looks stable but fragile in production.
* **Ignoring split states** → small divergence often grows into collapse.
* **No per-query logs** → averages hide catastrophic single failures.
---
## Reporting recommendations
* **λ distribution table**: % of →, ←, <>, ×.
* **Convergence trend**: chart over time by eval batch.
* **Drift alerts**: trigger if convergence <0.80 or × appears.
* **Correlation**: track ΔS vs λ to spot mixed failures.
---
### 🔗 Quick-Start Downloads (60 sec)
| Tool | Link | 3-Step Setup |
| -------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------- |
| **WFGY 1.0 PDF** | [Engine Paper](https://github.com/onestardao/WFGY/blob/main/I_am_not_lizardman/WFGY_All_Principles_Return_to_One_v1.0_PSBigBig_Public.pdf) | 1️⃣ Download · 2️⃣ Upload to your LLM · 3️⃣ Ask “Answer using WFGY + \” |
| **TXT OS (plain-text OS)** | [TXTOS.txt](https://github.com/onestardao/WFGY/blob/main/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 →](https://github.com/onestardao/WFGY/tree/main/core/README.md) |
| Problem Map 1.0 | Initial 16-mode diagnostic and symbolic fix framework | [View →](https://github.com/onestardao/WFGY/tree/main/ProblemMap/README.md) |
| Problem Map 2.0 | RAG-focused failure tree, modular fixes, and pipelines | [View →](https://github.com/onestardao/WFGY/blob/main/ProblemMap/rag-architecture-and-recovery.md) |
| Semantic Clinic Index | Expanded failure catalog: prompt injection, memory bugs, logic drift | [View →](https://github.com/onestardao/WFGY/blob/main/ProblemMap/SemanticClinicIndex.md) |
| Semantic Blueprint | Layer-based symbolic reasoning & semantic modulations | [View →](https://github.com/onestardao/WFGY/tree/main/SemanticBlueprint/README.md) |
| Benchmark vs GPT-5 | Stress test GPT-5 with full WFGY reasoning suite | [View →](https://github.com/onestardao/WFGY/tree/main/benchmarks/benchmark-vs-gpt5/README.md) |
| 🧙♂️ Starter Village 🏡 | New here? Lost in symbols? Click here and let the wizard guide you through | [Start →](https://github.com/onestardao/WFGY/blob/main/StarterVillage/README.md) |
---
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