This factors out the pass timing code into a separate TimingManager that can be plugged into the PassManager from the outside. Users are able to provide their own implementation of this manager, and use it to time additional code paths outside of the pass manager. Also allows for multiple PassManagers to run and contribute to a single timing report.
More specifically, moves most of the existing infrastructure in Pass/PassTiming.cpp into a new Support/Timing.cpp file and adds a public interface in Support/Timing.h. The PassTiming instrumentation becomes a wrapper around the new timing infrastructure which adapts the instrumentation callbacks to the new timers.
This is a concrete suggestion towards https://llvm.discourse.group/t/add-entries-to-pass-timing-from-outside-the-passmanager/3115.
Unless this is a widely used typedef that could occur in downstream code, I'd recommend just eliminating the PassTimingConfig name, updating clients to use TimingConfig directly.