On Sunday, April 15, 2018 at 3:53:08 PM UTC-7, Dima Pasechnik wrote:
>
>
> It would be nice to have better simplification rules for QQ (and more 
>> generally fraction fields). 
>>
>
> I suppose it's only OK to have as an option, as in general computing such 
> a canonical
> form would be slow, no?
>
> For fraction fields of euclidean domains it's not so bad (as 
ZZ['x'].fraction_field() shows).  Furthermore, if you consistently don't 
clear common content from your numerator/denominator pairs you can end up 
with quite bad coefficient blow-up.

Of course, the work-around is to use Z['x'].fraction_field().

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