Math Router

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

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

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

• You execute the returned command
• 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:

• Ask user to clarify
• Or use individual skills: /sympy-compute, /z3-solve, /pint-compute, etc.