A computer program is seen as a mapping prog: {Istatic, Idynamic} ==> O of input data into output data. Istatic is the part of the input data known at compile time.
The partial evaluator transforms {prog, Istatic} into prog* i.e. precomputes all static input at compile time. prog* is called the residual program[?].
prog: {Istatic, Idynamic} ==> O becomes prog*: Idynamic ==> O which in general runs more efficiently.
See also C++ Template metaprogramming
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