[lucubratory]

In Iain M. Banks' Culture novels, AIs (called drones, with the larger ones being called Minds) have special games and entertaining activities that they can play while they wait for human responses, as they think many times faster than humans.

We're a long way from anything like an AI that thinks many times faster than humans. But I think giving AIs something like a game (or games) they can play while they're not otherwise being interacted with and just aware of the time would be genuinely useful to go some way to solving the "psychosis/depression" problem they have when their only sensory input is just time ticking over. Not necessarily the most computationally efficient, but maybe we'll find some shortcuts.