“Power Yoga” (or at least this is the way I have seen it called) is very similar to Pilates.
Joseph Pilates used to practice Yoga for man years, so a lot of movements you find in the original Pilates forms will resemble Yoga n more than a way, specially in the Stretching part of a Pilates Class.
There are other things like Yogalates, created by Louise Solomon (which is supposed to reunite both arts and styles) which might be what you are talking about. I’m definitely not a fan of this last one which I think is just a Pilates class which wants to become “more spiritual” to fulfill the “fashion” some people have of feeling “enlightened” while doing their usual work out.
The easiest way would be to go and ask the teacher about it, so you can attend the classes you really enjoy…