Mark Dickinson <dicki...@gmail.com> added the comment:

One thought: would the deci_sqrt approach help with value ranges where the 
values are well within float limits, but the squares of the values are not? 
E.g., on my machine, I currently get errors for both of the following:

>>> xs = [random.normalvariate(0.0, 1e200) for _ in range(10**6)]
>>> statistics.stdev(xs)

>>> xs = [random.normalvariate(0.0, 1e-200) for _ in range(10**6)]
>>> statistics.stdev(xs)

It's hard to imagine that there are too many use-cases for values of this size, 
but it still feels a bit odd to be constrained to only half of the dynamic 
range of float.

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Python tracker <rep...@bugs.python.org>
<https://bugs.python.org/issue45876>
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