I strongly suspect that the roots returned by `Poly.intervals` have only 
one root in them (by definition). If you use  `refine_root(lo,hi,eps)` to 
refine the root bounds to arbitrary width and give it an interval in which 
there is more than one root, it will raise an error.

/c
On Tuesday, May 21, 2024 at 6:06:14 AM UTC-5 [email protected] wrote:

> Is it possible to use SymPy library to get intervals (with rational 
> endpoints) such that there is exactly one root in the interval? I would 
> like to use an implementation of RRI algorithm for my purpose. I believe 
> that the interval function does this. Is this correct? Is it guaranteed 
> that the output intervals are guaranteed to not have any common points?
>
>

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