Computer processor for higher precision computations using a mixed-precision decomposition of operations

A method comprising:

• decoding an instruction, wherein the instruction specifies locations of a plurality of operands, values of which being in a floating-point format;
• and
• executing the decoded instruction to:
• convert the values for each operand, each value being converted into a plurality of lower precision values, and an exponent being stored for each operand,
• perform arithmetic operations among the lower precision values converted from the values for the plurality of the operands, and
• generate a floating-point value by converting a resulting value from the arithmetic operations into the floating-point format and store the floating-point value.

A non-transitory machine-readable medium storing an instruction, which when executed by a processor causes the processor to perform a method, the method comprising:

• decoding an instruction, wherein the instruction specifies locations of a plurality of operands, values of which being in a floating-point format;
• and
• executing the decoded instruction to:
• convert the values for each operand, each value being converted into a plurality of lower precision values, and an exponent being stored for each operand,
• perform arithmetic operations among the lower precision values converted from the values for the plurality of the operands, and
• generate a floating-point value by converting a resulting value from the arithmetic operations into the floating-point format and store the floating-point value.