I agree -- the Wolfram player is OK, but at this point it would be great if I could just run and evaluate notebooks directly on the iPad. I just purchased the newest, 12.9" version, and it would be great to be able to use it in the classroom (i.e., to use demonstrations for students) with Mathematica on the fly. Mathematica online also seems very slow compared to what the Wolfram player can do (with its limited functionality).