Is there a cap to Pet Haste?

We can get 17% on gear, which isn't close to the normal 25.6% for players.

I assume that Run Wild and Familiar count as job ability Haste, if that is even relevant.

We can get 10% from the Augment to Familiar and, I believe, another 10% from Run Wild.

Does anyone know if Familiar and Run Wild stack? I only throw both when I'm fighting something terrible and honestly that's not what I'm paying attention to.

Any info would be appreciated.