Yes I do this on a regular basis. However, I haven't bothered to actually analyze the games too much.
One thing that certainly is different from playing humans or weak engines is, that my position always becomes extremely passive as I have the feeling that the engine will shut down any kind of play that I attempt.
What I felt to be quite fascinating though, is that different of these strong engines, while relatively equal when playing each other, have distinguishable styles.
For example Stockfish tends to push its way through me with it's pawns, Critter mostly does overloading weaknesses with its pieces and Houdini is even fond to trade me all the way down to the endgame and finish me off there by exploiting all the small and not-so-small advantages it got earlier.
Of course none of them will ever miss any tactical shots but the circumstance they have different approaches when it comes to strategy is really nice to see.
I am wondering if anyone else on this site is in the habit of playing against strong engines and analysing the games afterwards as a means of improvement?
I've been trying to do this rather systematically lately and I've noticed dramatic results in my improvement. I'll set HIARCS on it's highest level (with an estimated elo of 3000), knowing that it's very likely that I'll lose (probably not make it past move 35) and afterwards analyse the game closely for both sides. I think that playing against an engine systematically in this way is possibly better than playing against stronger human players. The computer is blunderless and develops its "ideas" in a completely different way than humans do.
I'm just curious. Maybe it's a common thing for people to do this. I know that it's something I've avoided on my path to improvement because I'm fully aware that I'll be crushed by the computer.
In a strange way, though, I'm actually beginning to marvel at the remarkable chess HIARCS (and other ultra-powerful engines) plays. It comes up with some pretty stunning moves at times.
Thoughts?
I can only attest to the fact that my game has been improving dramatically since I've started doing this.