math-review

name	math-review
description	Verifies math-heavy code for algorithmic correctness and numerical stability. Use when reviewing scientific algorithms, ML models, or numerical code.
alwaysApply	false
category	specialized
tags	["math","algorithms","numerical","stability","verification","scientific"]
tools	[]
usage_patterns	["algorithm-review","numerical-analysis","derivation-verification","stability-assessment"]
complexity	advanced
model_hint	deep
estimated_tokens	200
progressive_loading	true
dependencies	["imbue:proof-of-work","imbue:review-core","imbue:structured-output"]

Table of Contents

• Quick Start
• When to Use
• Required TodoWrite Items
• Core Workflow
• 1. Context Sync
• 2. Requirements Mapping
• 3. Derivation Verification
• 4. Stability Assessment
• 5. Proof of Work
• Progressive Loading
• Essential Checklist
• Output Format
• Summary
• Context
• Requirements Analysis
• Derivation Review
• Stability Analysis
• Issues
• Recommendation
• Exit Criteria

Mathematical Algorithm Review

Intensive analysis ensuring numerical stability and alignment with standards.

Quick Start

/math-review

Verification: Run the command with --help flag to verify availability.

When To Use

• Changes to mathematical models or algorithms
• Statistical routines or probabilistic logic
• Numerical integration or optimization
• Scientific computing code
• ML/AI model implementations
• Safety-critical calculations

When NOT To Use

• General algorithm review - use architecture-review
• Performance optimization - use parseltongue:python-performance

Required TodoWrite Items

1. math-review:context-synced
2. math-review:requirements-mapped
3. math-review:derivations-verified
4. math-review:stability-assessed
5. math-review:evidence-logged
6. math-review:findings-verified

Core Workflow

1. Context Sync