Program compilation method and apparatus

An automatic program compilation apparatus including:

• an obtaining circuit and/or processor configured to obtain a first expression and a second expression of a program, wherein both the first expression and the second expression comprise a first variable, wherein the first variable is an input variable in the first expression, the first variable is an output variable in the second expression, and an operation type of the first variable in the first expression is different from an operation type of the first variable in the second expression;
• an updating circuit and/or processor configured to update the operation type of the first variable in the first expression and/or the operation type of the first variable in the second expression, so that an updated operation type of the first variable is consistent in the first expression and the second expression, wherein the updated operation type of the first variable indicates that the first variable has no differentiation result or has a differentiation result of zero after undergoing a differentiation operation;
• a calculating circuit and/or processor configured to process the first expression and the second expression based on the updated operation type of the first variable, to obtain a derivative function expression corresponding to the first expression and a derivative function expression corresponding to the second expression;
• and
• a combination circuit and/or processor, configured to combine, according to a chain rule, the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression, to obtain a compilation result of the program, wherein the compilation result of the program is related to a combination result of the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression.

A chip system comprising at least one processor, at least one memory, and an interface circuit, wherein the at least one memory, the interface circuit, and the at least one processor are interconnected, the at least one memory storing instructions that when executed by the at least one processor, cause the at least one processor to perform operations comprising:

• obtaining a first expression and a second expression of a program, wherein both the first expression and the second expression comprise a first variable, wherein the first variable is an input variable in the first expression and the first variable is an output variable in the second expression, and an operation type of the first variable in the first expression is different from an operation type of the first variable in the second expression;
• updating the operation type of the first variable in the first expression and/or the operation type of the first variable in the second expression, so that an updated operation type of the first variable is consistent in the first expression and the second expression, wherein the updated operation type of the first variable indicates that the first variable has no differentiation result or has a differentiation result of zero after undergoing a differentiation operation;
• processing the first expression and the second expression based on the updated operation type of the first variable, to obtain a derivative function expression corresponding to the first expression and a derivative function expression corresponding to the second expression;
• and
• combining, according to a chain rule, the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression, to obtain a compilation result of the program that is related to a combination result of the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression.

A non-transitory computer-readable storage medium that stores program code for execution by a device, the program code being used to perform the operations comprising:

• obtaining a first expression and a second expression of a program, wherein both the first expression and the second expression comprise a first variable, wherein the first variable is an input variable in the first expression and the first variable is an output variable in the second expression, and an operation type of the first variable in the first expression is different from an operation type of the first variable in the second expression;
• updating the operation type of the first variable in the first expression and/or the operation type of the first variable in the second expression, so that an updated operation type of the first variable is consistent in the first expression and the second expression, wherein the updated operation type of the first variable indicates that the first variable has no differentiation result or has a differentiation result of zero after undergoing a differentiation operation;
• processing the first expression and the second expression based on the updated operation type of the first variable, to obtain a derivative function expression corresponding to the first expression and a derivative function expression corresponding to the second expression;
• and
• combining, according to a chain rule, the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression, to obtain a compilation result of the program that is related to a combination result of the derivative function expression corresponding to the first expression and the derivative function expression corresponding to the second expression.