I'm curious where is the state stored for this "planning". In a previous comment user lsy wrote "the activation >astronomer< is already baked in by the prompt", and it seems to me that when the model generates "like" (for rabbit) or "a" (for habit) those tokens already encode a high probability for what's coming after them, right?
So each token is shaping the probabilities for the successor ones. So that "like" or "a" has to be one that sustains the high activation of the "causal" feature, and so on, until the end of the line. Since both "like" and "a" are very very non-specific tokens it's likely that the "semantic" state is really resides in the preceding line, but of course gets smeared (?) over all the necessary tokens. (And that means beyond the end of the line, to avoid strange non-aesthetic but attract cool/funky (aesthetic) semantic repetitions (like "hare" or "bunny"), and so on, right?)
All of this is baked in during training, during inference time the same tokens activate the same successor tokens (not counting GPU/TPU scheduling randomness and whatnot) and even though there's a "loop" there's no algorithm to generate top N lines and pick the best (no working memory shuffling).
So if it's planning it's preplanned, right?