Baiscally, a black box. I observe that for 'easy' problems, the black box takes the initial problem and returns the answer. For a 'hard' problem, I need to break it down into steps to feed to the black box. 'Breaking it down' is an easy problem, so my black box immediately returns the broken-down steps, which I then feed one-by-one to the box, culminating in an answer. Subjectively, it feels like I am being given the answer on easy problems, and I am simply prodding my brain to be reluctantly and piecemeal giving the answer on hard problems. I don't have much trust for the insight feeling; in my experience it's just a problem the black box solves for me, except that it tags its solution with 'feel a rush of insight-feeling', and this doesn't correlate strongly with useful or deep answers.

I have no internal monologue. Sometimes speaking the problem helps prod the black box; I don't do it very often unless I'm drunk or sleepy.