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---
## 🧪 One-click sandboxes — run WFGY instantly (under construction)
## 🧪 One-click sandboxes — run WFGY instantly
Run lightweight diagnostics with **zero install**, **zero API key**. Powered by Colab.
@ -50,15 +50,12 @@ Run lightweight diagnostics with **zero install**, **zero API key**. Powered by
> **How to use**
> 1. Click the badge ▸ Runtime ▸ Run all
> 2. Replace `prompt` / `answer`
> 3. See ΔS, failure type, suggested fix
> 2. Replace `prompt` and `answer`
> 3. See ΔS score and suggested fix
>
> ΔS = 1 cosθ(I, G)
> I = Prompt intent, G = Generated output
>
> Low ΔS → Stable
> Medium ΔS → Interpretation Collapse
> High ΔS → Hallucination / Chunk Drift
> **What it detects:**
> No.2 [Interpretation Collapse](https://github.com/onestardao/WFGY/blob/main/ProblemMap/retrieval-collapse.md)
> (Prompt and output look fine, but meaning is mismatched)
</details>
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[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/onestardao/WFGY/blob/main/tools/wfgy_lambda_observe_colab.ipynb)
> **How to use**
> 1. Click the badge ▸ Runtime ▸ Run all
> 1. Run all cells
> 2. Edit `prompt`, `step1`, `step2`
> 3. Compare ΔS before vs after
>
> If ΔS goes down → checkpoint worked
> If not → try BBCR fallback
> If ΔS drops → checkpoint worked
> If not → try BBCR fallback
>
> **What it fixes:**
> No.6 [Logic Collapse & Recovery](https://github.com/onestardao/WFGY/blob/main/ProblemMap/logic-collapse.md)
> (Multi-step reasoning veers off and needs semantic midpoints)
</details>
<details>
<summary><strong>e_resonance</strong> — Domain-level semantic harmony</summary>
<summary><strong>ε_resonance</strong> — Domain-level semantic harmony</summary>
<br>
[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/onestardao/WFGY/blob/main/tools/wfgy_e_resonance_colab.ipynb)
> Checks how strongly a prompt + answer resonate with a chosen semantic field
> (Buddhism anchors provided; swap in any domain you like).
>
> **How to use**
> 1. Run all → edit `prompt` / `answer`
> 2. Optionally edit the `anchors` list
> 3. Higher e_resonance = deeper conceptual harmony
> 1. Run all cells
> 2. Edit `prompt` and `answer`
> 3. Optionally update the `anchors` list
>
> Higher ε → deeper resonance with domain anchors
>
> **What it explains:**
> No.12 [Philosophical Recursion](https://github.com/onestardao/WFGY/blob/main/ProblemMap/philosophical-recursion.md)
> (Looping abstraction caused by mismatched domains)
</details>
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[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/onestardao/WFGY/blob/main/tools/wfgy_lambda_diverse_colab.ipynb)
> **How to use**
> 1. Run all → edit `prompt` and the `answers` list (≥ 3 lines)
> 2. Press ▶️ — see a single λ_diverse score
> 1. Run all cells
> 2. Fill in `prompt` and `answers` (≥ 3 examples)
> 3. See λ_diverse score
>
> Low (≤ 0.40) — near duplicates
> Medium (0.400.70) — partial variety
> High (≥ 0.70) — truly diverse phrasing
> High (≥ 0.70) — rich semantic variation
>
> **What it detects:**
> No.3 [Long Reasoning Chains](https://github.com/onestardao/WFGY/blob/main/ProblemMap/context-drift.md)
> (Early steps diverge silently across variants)
</details>