Preprocessing tensor operations for optimal compilation

A system to perform preprocessing of computer readable representations of mathematical operations, the system comprising:

• a processor;
• a memory including instructions that, when executed, cause the processor to at least:
• perform an output reduction transformation to transform a computer readable representation of a machine learning mathematical operation into a first transformed representation including a set of one or more polynomials that are linear in a single variable, the first transformed representation semantically equivalent to the computer language representation;
• perform a fraction removal transformation to transform the first transformed representation of a machine learning mathematical operation into a second transformed representation including a set of one or more polynomials that have one or more integer coefficients and semantically equivalent to the first transformed representation;
• and
• generate computer readable instructions for parallel processing, the computer readable instructions generated based on the second transformed representation.

Computer storage media comprising instructions that, when executed, cause at least one processor to at least:

• perform an output reduction transformation to transform source code including a linear algebra operation into a first transformed representation including a set of one or more polynomials that are linear in a single variable, the first transformed representation semantically equivalent to the source code;
• perform a fraction removal transformation to transform the first transformed representation including a set of one or more polynomials that are linear in a single variable into a second transformed representation including a set of one or more polynomials that have one or more integer coefficients, the second transformed representation semantically equivalent to the first transformed representation;
• and
• generate computer readable instructions for parallel processing, the computer readable instructions generated based on the second transformed representation.