Embodiments are directed to systems and methods for reuse of FMA execution unit hardware logic to provide native support for execution of get exponent, get mantissa, and/or scale instructions within a GPU. These new instructions may be used to implement branch-free emulation algorithms for mathematical functions and analytic functions (e.g., transcendental functions) by detecting and handling various special case inputs within a pre-processing stage of the FMA execution unit, which allows the main dataflow of the FMA execution unit to be bypassed for such special cases. Since special cases are handled by the FMA execution unit, library functions emulating various functions, including, but not limited to logarithm, exponential, and division operations may be implemented with significantly fewer lines of machine-level code, thereby providing improved performance for HPC applications.