Guide

Task-oriented walkthroughs for getting real work done with tax. Each page is how-to: create something, compute something, read a result out.

Page	What you'll do
Background	The theory: truncated Taylor polynomials, graded-lex ordering, convergence
Variables & Expressions	Create variables, build expressions with arithmetic and math functions, run pipelines at compile time
Fused Operations	Compute coupled pairs (sinCos, sqrtInvSqrt, expSinCos) and half-integer powers in one pass
Extracting Results	Read out values, coefficients, derivatives, and evaluate the polynomial
Coefficient Storage	How coefficients are laid out, and how the shape \(\binom{N+M}{M}\) grows
Named & Mixed-Order Expansions	Attach named axes, compose across axis sets, slice and differentiate by name; give each axis its own order
Eigen Integration	Use TaylorExpansion inside Eigen vectors and matrices

New here? Start with Getting Started, then come back. For exact signatures see Reference.