/math-router

name: math-router
description: Deterministic router for math cognitive stack - maps user intent to exact CLI commands
triggers: ["math", "calculate", "compute", "solve", "integrate", "derivative", "plot", "convert", "prove"]
priority: high
user-invocable: false

Math Router

**ALWAYS use this router first for math requests.**

Instead of reading individual skill documentation, call the router to get the exact command:

Usage

# Route any math intent to get the CLI command
uv run python scripts/cc_math/math_router.py route "<user's math request>"

Example Workflow

1. User says: "integrate sin(x) from 0 to pi" 2. You run: `uv run python scripts/cc_math/math_router.py route "integrate sin(x) from 0 to pi"` 3. Router returns:

   {
     "command": "uv run python scripts/cc_math/sympy_compute.py integrate \"sin(x)\" --var x --lower 0 --upper pi",
     "confidence": 0.95
   }

4. You execute the returned command 5. Return result to user

Why Use The Router

• **Faster**: No need to read skill docs
• **Deterministic**: Pattern-based, not LLM inference
• **Accurate**: Extracts arguments correctly
• **Complete**: Covers 32 routes across 7 scripts

Available Routes

| Category | Commands | |----------|----------| | sympy | integrate, diff, solve, simplify, limit, det, eigenvalues, inv, expand, factor, series, laplace, fourier | | pint | convert, check | | shapely | create, measure, pred, op | | z3 | prove, sat, optimize | | scratchpad | verify, explain | | tutor | hint, steps, generate | | plot | plot2d, plot3d, latex |

List All Commands

# List all available routes
uv run python scripts/cc_math/math_router.py list

# List routes by category
uv run python scripts/cc_math/math_router.py list --category sympy

Fallback

If the router returns `{"command": null}`, the intent wasn't recognized. Then: 1. Ask user to clarify 2. Or use individual skills: /sympy-compute, /z3-solve, /pint-compute, etc.