Symbolically enhanced numeric computing is the ability of Mathematica to apply symbolic transformations automatically to an ostensibly numerical computation to optimize computation time and accuracy--or to make it directly computable at all.

Often a numerical algorithm requires a particular form of expression with which to operate. In non-Mathematica systems, that specific form must be input to enable computation; with symbolically enhanced numeric computing, Mathematica automatically transforms the provided expression to reach this required form. The benefit of this approach is crucial for ease of use: it enables a wide range of problems to be input without a user's (sometimes complex) pencil-and-paper transformation beforehand.

Additionally, this intelligent expression transformation cuts unnecessary computations by getting expressions into the easiest-to-evaluate form, sometimes even avoiding a failure of the computation where the untransformed expression would have exhibited numerical instability.

Mathematica is unique in being equipped to take this approach because of its mixed symbolic-numeric architecture and the range of its symbolic transformation capabilities.