Abstract: Systems and methods are provided for performing at least one operation using data in a preferred data layout, while preserving the ability to access the data in an original data layout. The preferred data layout may be independent of the original data layout. The preferred data layout may be selected based on at least one of a characteristic of the data, a characteristic of the computing environment or computing device(s) implementing the computing environment, a characteristic of the at least one operation, or historical performance data. The data may be rearranged or permuted into the preferred layout. A mapping may be determined between the preferred layout and the original layout. During performance of the at least one operation using the data in the preferred layout, another operation may use the mapping to access the data in the original layout.

Abstract: In an embodiment, a computer-readable medium may include computer-executable instructions for dynamic symbolic math engine selection. The instructions, when executed by a processor, may cause the processor to: dynamically select a first symbolic math engine from two or more symbolic math engines; convert a first symbolic command from a standard format into a first format compatible with the first symbolic math engine; pass the first converted command to the first symbolic math engine for executing; receive an error from the first symbolic math engine from executing the first converted command; convert the first symbolic command from the standard format into a second format compatible with a second symbolic math engine based on the error received from first symbolic math engine, wherein the second symbolic math engine is selected from the two or more symbolic math engines; and pass the second converted command to the second symbolic math engine for executing.

Abstract: In an embodiment, a computer-readable medium may include computer-executable instructions for selecting a symbolic math engine. The instructions may be executed on a processor. The medium may include: one or more instructions for dynamically selecting a first symbolic math engine from two or more symbolic math engines; one or more instructions for converting a symbolic command from a standard format into a first format compatible with the first symbolic math engine; one or more instructions for passing the converted command to the first symbolic math engine for executing, the executing including producing a result; and one or more instructions for outputting or storing the result of the executing.