Evaluating Derivatives

[pharringtonp19]

I am curious about automatic/algorithmic differentiation, so I am reading Andreas Griewank's and Andrea Walther's textbook on Evaluating Derivatives

In chapter two, the authors write "The instantiation of an evaluation program for a certain set of input parameters with the nomination of independent and dependent variables maps it into an evaluation procedure, since then the control flow is fixed."

In terms of jax, would I be right to think of an evaluation program as a function, and then by calling this function I have an evaluation procedure? Or what is the right way to think about this? -- thanks