$[10$ points$]$ We use a computer to evaluate the rational function

$f(x)=\frac{2x^{2}3x-1}{5x^{3}7x^2-4x8}$

at $x=a0.$ Note that during one calculation a computer has memory and storage, for example, if $a^2=a*a$ has been calculated, it will have been put in storage and next time if $a^2$ is needed for the same value of $a,$ it is directly taken from the storage and there is no need to calculate it$.$

$(1).[5$ points$]$ Count the number of the flops for evaluating the function, i$.$e$.,$ the number of operations such as $"\frac{}{-}",$ and $$ needed to find the value of the function at $x=a.$

$($Answer: $13)$