> Your argument for a reasonable value of 1e-3 is much clear now, and I agree 
> with it. Let's say we can go down to 1e-4. Should I conclude this post with 
> the following recommandation?
> 
> Recommandation: 1e-4 <= practical tolerance <= 1e-3. Values out of this range 
> should be used only for special use cases and argumented.

Absolutely, I think this is a good heuristic!
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