Raymond Hettinger <raymond.hettin...@gmail.com> added the comment:

This paper addresses the topic directly: https://arxiv.org/pdf/1904.09481.pdf 

I tried to reproduce the results shown in Table 1 of the paper.  For clib 
hypot(), they get 1 ulp errors 12.91% of the time.  On my build, using the same 
gaussian distribution, I get 14.08% for both the clang hypot() and for the 
current version of the PR, showing that the two are fundamentally the same.

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