>
> ...In principle there can be fast progress if the first version only 
> implements general fallback rules like the mentioned 2F1 solutions. Many 
> Rubi rules only specialize 2F1 solutions, a sort of 
> simplify_hypergeometric() if you want. But then, with only the 
> hypergeometric (H) rules the output is ugly as well. You'll get more 
> integrals solved than usual algorithms, however, so this low-hanging fruit 
> would have a place *after eg Maxima returns an unsolved integral.
>

https://trac.sagemath.org/ticket/22650

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