You ran a benchmark program on a machine with a $200MHz$ clock. For

unoptimized code it executes $250000$ instructions $5\mathrm{.}0ms($millieseconds$),$ for

optimized code it executes $80000$ instructions in $1\mathrm{.}2ms.$

The CPI of the unoptimized code is

Clock rate $=2^{***}{10}^8$

Instruction $={2\mathrm{.}5}^{***}{10}^6$

Time $=5^{**}1$

CPI $=5^{**}{10}^{-3}{?}^{**}{2}^{***}\frac{{10}^8}{{2\mathrm{.}5}^{***}}{10}^6=0\mathrm{.}4$

The CPI of the optimized code is

Clock rate $=2^{**}{10}^8$

Instruction $=8^{***}{10}^4$

Time $=1\mathrm{.}2**{10}^{**}-3$

$\frac{C}{P}$I $={1\mathrm{.}2}^{**}{10}^{-3}{?}^{**}{2}^{**}\frac{{10}^8}{8^{**}}{10}^4=3$

Part C:

Suppose that a FSQRT function is responsible for $45\%$ of the execution time of some

application and all floating$-$point FP instructions $($ALLFP$)$ are responsible for $50\%.$ To

improve the performance of this application, the developers asked you to help them

select the best of the following two choices:

First choice: execute ALLFP instructions $2\mathrm{.}5x$ faster.

$\frac{1}{\frac{0\mathrm{.}5}{2\mathrm{.}5}+0\mathrm{.}5}=1\mathrm{.}428$

Second choice: to speed up the FSQRT function by a factor of $8$

$\frac{1}{\frac{0\mathrm{.}45}{12}+0\mathrm{.}55}=1\mathrm{.}702$ ## explain these questions and show the formulas used please show all the steps to these questions and explain how the result was obtained