All bows are not created equally, and you will have a lot of different answers to this question that will mostly be speculation. Draw weight and energy storage, vs how much energy actually gets transferred to the arrow totally depends on the bows limb design.
Even using the same identical bow design in different draw weights can make a big difference even if the GPP (grains per pound) are closely matched. I can give you a good example...
Take an ASL design bow with very low preload in the limbs. These bows draw very smooth in the first few inches of the draw and slowly gain pounds per inch throughout the draw cycle. These bows typically have very poor performance in lighter draw weights compared to higher preload limb designs like some recurves and hybrid long bows do.... But... once you start increasing the draw weight on these ASL long bow designs, the performance increases a lot due mostly to higher preload, or more tension on the string at brace.
One of the key components of a bows performance is not just how much energy is stored in the limbs, but how much of that energy is transferred to the arrow. Some bow designs are much higher in performance than others, but even high performance designs have different performance levels depending on draw weight. for example... a 30-40# high performance recurve or hybrid bow shooting 300 to 400 grain arrows. (10 GPP) drawing 28" will have significantly lower performance than that same exact limb design at 50-60# draw weight shooting 500-600 Grain arrows. The heavier limbs with heavier arrows may be 10-15 FPS faster in some cases.
Why? I could write a full chapter in a book explaining the details, but the bottom line is the ratio of limb mass to preload is much different, which results in less energy being transferred to the arrow. or simply put... it's the lower draw weight limbs not having enough string tension at brace to stop the limbs clean and transfer the same amount of energy.
You can get into some other of the same factors with longer draw lengths vs shorter draw lengths and different limb designs too....
So to answer your question, there is no rough formula with so many different factors involved.
Kirk