An apparatus includes one or more registers configured to store a vector of input values. The apparatus also includes a coefficient determination unit configured to, responsive to execution by a processor of a single instruction, select a plurality of piecewise analysis coefficients. The plurality of piecewise analysis coefficients includes one or more sets of piecewise analysis coefficients, and each set of piecewise analysis coefficients corresponds to an input value of the vector of input values. The apparatus further includes arithmetic logic circuitry configured to, responsive to the execution of at least the single instruction, determine estimated output values of a function based on the plurality of piecewise analysis coefficients and the vector of input values.