Assume for a given processor the CPI ofarithmetic

instructions is $1,$ the CPI of load$/$store instructions is $10,$ andthe CPI of

branch instructions is $3.$ Assume a program has thefollowing instruction

breakdowns: $500$ million arithmetic instructions, $300$ million load$/$store

instructions, $100$ million branch instructions.

$2\mathrm{.}46\mathrm{.}1[5]<2\mathrm{.}19>$ Suppose that new, more powerful arithmetic instructions are

added to the instruction set. On average, through the use of these more powerful

arithmetic instructions, we can reduce the number of arithmetic

instructions needed to execute a program by $25\%,$ at the cost of increasing the

clock cycle time by only $10\%.$ Is this a good design choice? Why?

$2\mathrm{.}46\mathrm{.}2[5]<2\mathrm{.}19>$ Suppose that we find a way to double the performance

of arithmetic instructions. What is the overall speedup of our machine? What if

we find a way to improve the performance of arithmetic instructions by $10$ times?