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Lately I've been running ~2000 battles, which seems accurate to within 0.05 or 0.1. That's made easier now that I can do that in 2-2.5 hours on my new machine, though - previously it was taking me 2+ hours for one season of a 250-bot test bed!

So you'll have to feel it out for yourself as far as your bot and what changes you're making (and how patient you are =)). Like with some changes, I just want to know it's not totally screwing things up before testing it in the rumble. While tweaking parameters little by little, I have to run a lot more battles to know what's going on.

2000 seasons??? *brain explodes!!*

No no no, 2000 battles total. =) So for this test bed, like 13 seasons. My current test bed is 400 bots and I'm doing 5-6 seasons.