Recruiter phone screen, engineering director phone screen, all day in person interview including a presentation to a group, an engineering knowledge/skills quiz, and many 1:1s, and finally after the interview went well, two executive management phone calls and your 3-5 bullet point executive summary of highest accomplishments goes across Elon's desk. The in person interview begins with a presentation to a group on a design project. You have one hour to present and take questions from the people in the room. Many applicants are from Formula SAE or other project teams, and many engineers at SpaceX are design judges at the national competitions, so be prepared for tough questions. If they don't like your presentation, you'll be asked to leave after that. If they do like your presentation, you'll go on to eat lunch with a manager and then take a structures/other kind of engineering quiz depending on the position you're applying for. Then there are 3-4 hours of one-on-ones with engineers, managers, and directors. Overall a very through process. I ended up learning a significant amount about the company as well, and left the in person all day interview feeling very excited about the potential future opportunity. If they like you they will tell you that it went well and get you excited about potentially working there.

First there is a phone screening, next there are interviews with engineers and managers, then finally there are in-person interviews. In the final interviews you need to give an in-depth technical presentation on a project you have worked on.