Problem $3$

A company is to improve its computer. The applications that users typically run on these machines have the following instruction distribution and average CPI's:

One idea of improving that has been proposed is to add an FPMADD $($multiply$-$add$)$ instruction that multiplies two operands together and adds the result to a third operand. They have determined that this feature can be used to combine half of the multiply and add instructions in the original code. Assuming the clock cycle time of the machine is not affected and the CPI of the FPMADD instruction is $5\mathrm{.}0$ calculate:

the ratios of the instruction counts,

the overall machine CPIs, and

$\backslash$table$[[$Instruction$,$Percentage,$\backslash$table$[[$Average$],[$CPI$]]],[$Load$/$Store$,50\%,1\mathrm{.}4],[$Integer ALU,$25\%,1\mathrm{.}0],[$FP Multiply,$10\%,4\mathrm{.}0],[$FP Add,$10\%,2\mathrm{.}0],[$Branch$,5\%,1\mathrm{.}5]]$

The execution time of the original versus the new machine.