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Since the task of algebraic di erentiation can be specified with varying amounts of detail, a programmer typically has options in choosing compromises with respect to size, e ciency, robust-ness, generality, extensibility, and other issues. Even full-featured computer algebra systems like Maple, Macsyma and Mathematica di er in their built-in ability to compute certain derivatives or represent them operationally. This report has yet another program, one which we wrote to have fun with using logarithmic derivatives for the product rule, and for derivatives of powers. It has a certain charm in being slightly smaller in these parts, and in providing additional challenge for a subsequent simplification step,.

A short note on short differentiation programs in lisp, and a comment on lagarithmic differentiation