symclaw/skill/SKILL.md

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