For the univariate case, to compare speed etc., you could also call FriCAS 
and do something like

sage: fricas.pade(3,2, fricas.taylor(atan(x), x=0)).sage()
(4/9*x^3 + 5/3*x)/(x^2 + 5/3)

In fact, there is also Hermite-Padé in FriCAS, but I cannot remember the 
details.

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