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Try this: elo(APS) = -300*ln(100/APS - 1) + 1600
It uses a reflected normal sigmoid so (I think) it's based off of the same theory that the ELO is. Here's a pretty graph =) It's properly centered at 1600 as well, unlike our glicko2 implementation which it seems has drifted - 50APS doesn't line up with 1600 like it used to (perhaps due to more strong bots re-submitted like MN was saying).