# SymClaw — Symbolic Mathematics Engine

Deterministic symbolic computing via Rust. Parse, simplify, differentiate, integrate, solve equations, expand series, render LaTeX — all guaranteed correct.

## Tools

### symclaw-eval
Evaluate or simplify a mathematical expression.
- Input: `{"action": "simplify", "expr": "x^2 + 2*x + 1"}`
- Output: `{"success": true, "result": "(x + 1)^2", "latex": "(x + 1)^{2}"}`

### symclaw-derive  
Differentiate an expression.
- Input: `{"action": "differentiate", "expr": "sin(x^2)", "var": "x"}`
- Output: `{"success": true, "result": "2*x*cos(x^2)", "latex": "2 x \\cos(x^{2})"}`

### symclaw-integrate
Symbolic integration.
- Input: `{"action": "integrate", "expr": "x^2", "var": "x"}`
- Definite: `{"action": "integrate", "expr": "x^2", "var": "x", "lower": "0", "upper": "1"}`

### symclaw-solve
Solve equations (expr = 0).
- Input: `{"action": "solve", "expr": "x^2 - 5*x + 6", "var": "x"}`
- Output: `{"success": true, "solutions": ["2", "3"]}`

### symclaw-taylor
Taylor/Maclaurin series.
- Input: `{"action": "taylor", "expr": "sin(x)", "var": "x", "order": 5}`

### symclaw-eval-numeric
Numeric evaluation with variable substitution.
- Input: `{"action": "eval", "expr": "x^2 + y", "vars": {"x": 3.0, "y": 1.0}}`

### symclaw-latex
Render expression as LaTeX.
- Input: `{"action": "latex", "expr": "x^2/3 + sqrt(y)"}`

### symclaw-plot
Generate plot data points.
- Input: `{"action": "plot_data", "expr": "sin(x)", "var": "x", "start": -6.28, "end": 6.28, "steps": 200}`

## Setup
Binary: `symclaw-skill` (reads JSON from stdin, writes JSON to stdout)
Build: `cargo build --release -p symclaw-skill`