If you were to get the information you were after it would be specific to a particular implementation, and a particular version of that implementation. The nature of how JIT is done for JavaScript is not defined in the spec and varies a lot (starting from totally nonexistant many years ago).
To have useful performance measurement tools that are going to help your code run across multiple implementations would require a) all of those implementations to work the same, forever, and b) the semantics of this to be specified in the standard.
To have useful performance measurement tools that are going to help your code run across multiple implementations would require a) all of those implementations to work the same, forever, and b) the semantics of this to be specified in the standard.