For me, I sometimes feel like I'm an old school chess engine, exploring as many possible moves/ideas as I can - as many steps into the future as time allows. Constantly evaluating them based on some known-simplified fitness function usually involving pattern recognition from past experience in similar problems. Eventually I arrive at a place where I'm either confident I know a reasonable way forward (and why some of the obvious ways forward are unlikely to be ideal) - or I've scatter-gun searched all of the quickly available ideas and discovered I have no idea if some of them are good or bad, and I need to do much deeper research and investigation of the problem.
From the outside, that'd look identical to "he could go completely silent, just staring straight ahead with his fingers to his lips"