Final answer:
To implement the function sum using nested functions in MIPSzy, define the main, sum, and helper functions. Map registers to variables, and utilize temporary registers for optimization.
Step-by-step explanation:
To implement the function sum using nested functions in MIPSzy, we can define the main function that calls the sum function, the sum function that performs the addition, and the helper function that gets the values from registers and stores the result back. We can then map the registers to variables according to the provided mapping, where registers $s0 and $s1 will store the values of a and b, and $s2 will store the result. To optimize the MIPSzy implementation for performance, we can utilize register $t0 as a temporary register for calculations, reducing the need to store data in memory and improving the overall speed.