# Problem with Padé approximation

I let

f(x)=cos(x)

and calculate the (2,4) Padé approximation of f:

f.taylor(x,0,10).power_series(QQ).pade(2,4)

Sage answers with

(-244/3*x^2 - 1/1512000*x + 200)/(x^4 - 1/18144000*x^3 + 56/3*x^2 - 1/1512000*x + 200)

which seems incorrect. (The Taylor series of this rational function has a x^3 term which differs from that of f.)

Am I doing something wrong, or is there a problem with sage?