Why use an expression tree instead of direct calculation?

Expression trees allow you to treat logic as data, enabling you to simplify, optimize, or translate the logic into different languages (like SQL or C) rather than just calculating a single numerical result.

What are Norvig patterns in the context of this skill?

Norvig patterns refer to elegant, recursive programming structures popularized by Peter Norvig for solving complex problems like symbolic math and AI logic with minimal, readable code.

Can this skill help with SQL generation?

Yes, by representing query components as nodes in an expression tree, you can programmatically build and transform complex SQL queries before execution.

Does this skill support symbolic differentiation?

Absolutely. It provides the architectural pattern to define rules for differentiation across various operators and functions like sin, cos, addition, and multiplication.

Symbolic Expression Tree Builder

Name: Symbolic Expression Tree Builder
Author: jimmc414

byjimmc414

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数据科学与机器学习

Implements symbolic computation patterns and Abstract Syntax Trees for mathematical modeling and code transformation.

This skill provides a structured framework for building, evaluating, and transforming symbolic expressions using nested tree structures. Inspired by Peter Norvig's algorithmic patterns, it enables Claude to implement operator overloading, recursive evaluation, and symbolic differentiation. It is an essential tool for developers building domain-specific languages (DSLs), complex query builders, or systems requiring automated code manipulation and mathematical simplification.

主要功能

01Recursive tree traversal for evaluation and transformation

02Symbolic differentiation and simplification rule implementation

03Operator overloading for natural mathematical syntax building

041 GitHub stars

05Pattern matching on operator types for extensible logic

06Commutativity handling via reflection methods (radd, rmul)

使用场景

01Creating Abstract Syntax Trees (ASTs) for custom interpreters

02Building symbolic math engines for differentiation and calculus

03Developing fluent SQL or API query builders with structured trees

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add jimmc414/claude-code-plugin-marketplace build-expression-tree

For use in Claude.ai and ChatGPT

Download Skill