Comment by astrange
That answer seems to conflict with "in the future we'd like to give users more control over the thinking time".
I've gotten mini to think harder by asking it to, but it didn't make a better answer. Though now I've run out of usage limits for both of them so can't try any more…
I'm not convinced there isn't more going on behind the scenes but influencing test-time compute via prompt is a pretty universal capability.