Eventually you'll get to a series of 4 repeating screens (I think) and the time before the speedup will be super short or nearly instant upon starting a new screen. It's here you can develop patterns as the 4 screens repeat infinitely. After several 100s of k of this, the speedup either stops completely or the timer is so long you never get to it and everything goes back to moving slow. However, at this point the monsters start teleporting out of their enclosures almost immediately, disrupting any patterns you might have going.