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But 3000003 is exact in fp32, as well as it is 3000002.5, 3000002.75 before it or 3000003.25, 3000003.5, 3000003.75 after it?

https://www.h-schmidt.net/FloatConverter/IEEE754.html

And AFAIK the LLMs, lacking the ability to actually calculate, can't check which numbers are such?

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Ha, you're right. I should've used 30,000,000. The answer it gave regarding how to do "ties to even" was still correct though: "Evenness" is decided by the least significant bit of the mantissa, not be the "evenness" of the decimal representation.

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