Function Intelligence System
Topic:
architecture.function-intelligence
MathHook's function intelligence registry that enables automatic simplification, differentiation, and symbolic manipulation of mathematical functions.
Function Intelligence System
This chapter covers internal implementation details of the function intelligence system.
Function Registry
MathHook maintains a global registry of mathematical functions with their properties:
- Differentiation rules: How to differentiate each function
- Simplification patterns: Known identities and simplifications
- Domain restrictions: Valid input ranges
- Special values: Function behavior at key points
Automatic Simplification
The function intelligence system enables automatic simplification based on:
- Known identities (sin²(x) + cos²(x) = 1)
- Special values (sin(0) = 0, log(1) = 0)
- Composition rules (sin(asin(x)) = x)
Symbolic Differentiation
Functions in the registry include differentiation rules:
- Elementary functions (sin, cos, exp, log)
- Hyperbolic functions (sinh, cosh, tanh)
- Special functions (gamma, beta, erf)
Examples
API Reference
- Rust:
mathhook_core::function_registry - Python: ``
- JavaScript: ``