Thank you for the comments @AndersMS and @erget.

I like the concise version too, I would just keep my version of the "As an 
example ..." paragraph even if it is more verbose because it states exactly 
what the attribute means, hopefully leaving no room for misinterpretation.
The "{...] using 64-bit floating-point arithmetic **will** reconstitute [...]" 
in the shorter version is misleading from my point of view because it eludes 
the software/hardware factor (though I agree it will not be an issue in most 
cases).

As for regrouping the 3 paragraphs into one, I think we should keep them 
separated so that the content of paragraph 2 stands out: it is really important 
to state that exact reproducibility is not what is offered here so that users 
don't have unrealistic expectations. 

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