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by nneonneo
847 days ago
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The weird thing here is that the only change is making the denominator ln(exp(x)) instead of x. Catastrophic cancellation is still happening in the numerator (it’s still exp(x)-1), and the denominator winds up being some really tiny number. It’s just that, due to the quirks of the floating point calculations involved, the numerator and denominator wind up being nearly the same noisy approximation to x, whereas in the original calculation that wasn’t true. |
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