A fixed displacement vane pump delivers $1000$ psi oil to an extending hydraulic cylinder at $20$ gpm $.$ When the cylinder is fully extended, oil leaks past its piston at a rate of $0\mathrm{.}7$ gpm $.$ The pressure relief valve setting is $1200$ psi $.$ If a pressurecompensated vane pump were used it would reduce pump flow from $20$ gpm to $0\mathrm{.}7$ gpm when the cylinder is fully extended to provide the leakage flow at the pressure relief valve setting of $1200$ psi. How much hydraulic horsepower would be saved by using the pressure$-$compensated pump?