Possibly of interest, I have operational experience with the Pratt 815, Rolls Royce BR710 and BR725 (F130) engines. It's my opinion that the BR725 (F130) is the top performer. The three are very similar and in the same thrust class. However, in real world use, the high altitude performance of the 725 is markedly better than the Pratt 815. This is likely due to the bypass ratio of the Pratt 815 being 5.5-5.6, and the 725 (F130) being 4.1.
Despite Pratt's 5 turbines driving the fan, (vs RR's 3) the Pratt is unable to create sufficient high altitude thrust to match the Rolls. We see this as a poor high altitude climb rate, terrible climb rate at altitude with anti-ice on, and an inability to achieve sufficient airspeed at altitude to maintain a safe AOA (angle of attack) (too slow and nose up at FL510)
By way of comparison, the RR BR725 can push a very similar, but ever so slightly larger and heavier airframe to M 0.92 at 49,000 feet and the Pratt 815 manages only M 0.88-89. Problem is, 0.88 is too slow and results in an AOA of nearly 0.8, well into the yellow range.
Furthermore, the Pratt is more thirsty in cruise flight. We've been noticing 100 pounds per hour more fuel flow at similar speeds and thrust settings.