Do you not analyze turns while playing? If not, I'd recommend it, you will play much better. I'm being a little bit sarcastic, because I think you mean something else by "analyze a turn" and I don't quite know what you're getting at.
Here I meant with "analyze a turn" a post-game analysis of what happened. For a player that has never seen this, understanding how playing lot's of Worker's Village and Goons, and having a single Watchtower, can create big amount of vp tokens in a single turn, is probably illuminating about the power of Goons.
All of the information about what my opponent did during their turn (that I'm legally allowed to know) should be available to me in a manner that's easy for me to parse. I should be able to blink during my opponent's turn and not have to spend five minutes and figure out a puzzle about the kingdom in order to know what happened.
And I don't think you need to do that (the puzzling part), if you trust the game to be bug free (which of course it isn't).
Your opponent bought a Province, let's just assume that he had the coins to do so, and not focus on counting his Militia plays and Peddler plays to figure out why playing just a Silver was enough. Neither card mentioned anything about creating coins, for example.
Similarly, trust that the game takes correctly care of counting the available actions/buys, so when your blink is over and he has 3 coins, 2 actions and 3 buys, focus on that information instead of figuring out how he had to play his 3 Squires to get that. If you want to do that later, then that falls into the post-game analysis category.