The class of multivariate polynomials over the integers that can be evaluated using a polynomial (in the input size n) number of additions, subtractions, and multiplications, together with the constants -1 and 1. The class is nonuniform, in the sense that the polynomial for each input size n can be completely different.
Named in [Imp02], though it has been considered since the 1970's.
If P = BPP (or even BPP is contained in NE), then either NEXP is not in P/poly, or else the permanent polynomial of a matrix is not in AlgP/poly [KI02].
No class.