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Multiple accumulators increases accuracy. See pairwise summation, for example.

SIMD sums are going to typically be much more accurate than a naive sum.

Not necessarily either. It's not particularly hard to create a vector where in-order addition is the most accurate way to sum its terms. All you need is a sequence where the next term is close to the sum of all prior ones.

There just isn't a one-size-fit-all solution to be had here.

> There just isn't a one-size-fit-all solution to be had here.

But there is: https://news.ycombinator.com/item?id=40867842

That’s a one size fits some solution. Not more than 2x as slower than native floats is pretty slow for cases where you don’t need the extra precision.

If might be the case that it is the best solution if you do need the extra precision. But that’s just one case, not all.

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