Sir, what makes you believe that it has stopped? Or do you believe that it is to be detected in the small time intervals that we are able to measure in our fleeting life-spans?
Regarding phases, I know that you are well-read, but it is not wrong to point out that evolution is essentially incremental - minutely incremental, with a major lurch from time to time. We cannot determine until long afterwards whether we had witnessed an aberrant occurrence, a minute series of changes representing a cumulative alteration of significance, or (least likely, since most noticeable) a 'major lurch'.
My thruppence.