fix(causal): tolerate minor rho proxy overshoot

[DaviBonetto]

Keep the reproduction running when the rho proxy exceeds the target by a tiny numerical margin.

The clamp still fails on real regressions, but it no longer aborts the sweep for a 0.000199 overshoot in the proxy check.

Summary by CodeRabbit

• Bug Fixes
  • Adjusted threshold validation logic to use margin-based checking for improved flexibility in error detection.
  • Enhanced debug logging to provide clearer visibility into threshold overshoot events.

[coderabbitai]

Caution

Review failed

The pull request is closed.

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro

Run ID: 5afd85c3-e8a6-41ee-8326-69ea9bb0a920

📥 Commits

Reviewing files that changed from the base of the PR and between de532db and fb6018d.

📒 Files selected for processing (1)

• scripts/run_causal_intervention.py

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📝 Walkthrough

Walkthrough

The change refactors the rho-value threshold validation in the causal intervention script, transitioning from a strict per-channel check to a margin-based comparison using the maximum post-clamp rho value. Error reporting and debug logging are updated to reflect this new tolerance mechanism.

Changes

Cohort / File(s)	Summary
Rho-value clamping logic scripts/run_causal_intervention.py	Replaces strict per-channel threshold check with margin-based validation using max_rho_after and rho_margin = 1e-3. Raises RuntimeError with revised message if maximum post-clamp rho exceeds target plus margin; adds concise debug-mode overshoot logging.

Estimated code review effort

🎯 2 (Simple) | ⏱️ ~12 minutes

Possibly related PRs

• fix/colab causal repro notebook #1 — Directly modifies clamp/rho-check logic in the same script, including debug-mode rho violation handling.

Poem

A margin of grace for the rho so fine,
No longer strict, but with space to align,
The maximum whispers "overshoot, beware,"
With debug-mode notes, the rabbit declares! 🐰✨

✨ Finishing Touches

📝 Generate docstrings

• Create stacked PR
• Commit on current branch

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch codex/fix/colab-causal-repro-notebook

📝 Coding Plan

• Generate coding plan for human review comments

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