What makes this very complicated is that 1) language design plays a big part in performance and 2) CPUs change as well and this anecdotally seems to have more impact on interpreter than compiler performance.
With regards to 1), consider optimizing Javascript. It doesn't have machine integers, so you have to do a bunch of analysis to figure when something is being used as an integer and then you can make that code fast. There are many other cases. Python is even worse in this regard. In comparison AOT compiled languages are usually designed to be fast, so they make tradeoffs that favour performance at the cost of some level of abstraction / expressivity. The JVM is somewhere in the middle, and so is its performance.
With regards to 2) this paper is an example, as is https://inria.hal.science/hal-01100647/file/InterpIBr-hal.pd...