A software enhancement and management system (E&M System) can include two ways to decompose existing software such that new functionality can be added: functional decomposition and time-affecting linear pathway (TALP) decomposition. Functional decomposition captures the inputs and outputs of the existing software's functions and attaches the new algorithmic constructs presented as other functions that receive the outputs of the existing software's functions. TALP decomposition allows for the generation of time-prediction polynomials that approximate time-complexity functions, speedup, and automatic dynamic loop-unrolling-based parallelization for each TALP.