System and method of operating a computing device to perform memoization including transforming input/output parameters to reduce redundancies and efficiently cache data

A system for memoization, the system including:

• a computing device;
• a non-transitory computer-readable medium comprising:
• a cache;
• and
• a computer program configured to direct the operation of the computing device such that the computing device is operable to perform memoization with respect to a function having a relationship reflecting redundancy among at least one selected from the group composed of its input parameters and its output parameters, wherein the function is used to calculate a system of equations or matrix elements, tensor elements, or vector elements, and wherein the computing device is operable to:
• transform the input parameters;
• retrieve from the cache the output parameters, if present, based on the transformed input parameters;
• and
• transform the output parameters which includes defining a specific order in which the system of equations or the elements of the matrix, tensor, or vector are calculated, thereby to optimize memoization;
• wherein the transforming of the output parameters compensates for the transformation of the input parameters.