Following a departmental email, I sent my details and CV to the person coordinating the hire.

A few days later, I was contacted to let me know my application was in and that they would schedule a phone screen. This happened a few days later (via email).

The phone screen was fairly general and non-technical, with questions like "What type of work have you done in the past? What type of work do you prefer doing?"

After the screen, I was contacted via email and an on-site half-day of interviews was scheduled (I live within driving distance of the Apple offices).

The interviews were half-technical (mostly data structures and algorithms questions, some general machine learning knowledge questions) and half-"touchy-feely" (e.g., "What is the project you've done that you like the most, and why? Why Apple?").

As of a week ago, I've been told the hiring process is still ongoing, and I am waiting for their final word.

There were some algorithmic questions. Basically, they described a case where you need to do a complicated search over large datasets. I solved the problem via k-d trees, which the reviewer seemed to like, but they ended up implementing a giant hash instead.