Q$\mathrm{.}2)$ Compilers can significantly impact the performance of an application. Assume the fol$-$

lowing for a program:

Compiler X:

Dynamic Instruction Count $(I{C}_x)=8{10}^8$

Execution Time $(E{T}_x)=1\mathrm{.}2$ seconds

Compiler Y:

Dynamic Instruction Count $(I{C}_Y)=1\mathrm{.}6{10}^9$

Execution Time $(E{T}_Y)=2\mathrm{.}4$ seconds

Consider the processor has a clock cycle time $(T_{clk})$ of $3$ ns$,$ answer the following questions:

$2.$a$)$ Find the average CPI for each compiler given the clock cycle time.

$2.$b$)$ Assuming the compiled programs run on two different processors, if the execution

times on the two processors are the same, how much faster is the clock rate of the

processor running Compiler X$\text{'}$s code compared to the clock rate of the processor

running Compiler Y$\text{'}$s code?

$2.$c$)$ A new compiler is developed that uses $1\mathrm{.}3{10}^9$ instructions and has an average CPI

of $2\mathrm{.}5.$ What is the speedup of using this new compiler over using Gmpiler X or

Compiler Y on the original processor? $($Compare results to part a$).)$