Far as I know, EAP is the same as AP1? It does lane following and distance-from-forward-traffic following on the highway, changes lanes when you use the indicators, uses ultrasonic sensors and radar.... The only (major) flaw I have found is that it DOES NOT SEE solid objects in the lane such as construction barrels.
I feel like the forward looking camera should have a special awareness of that international orange color that is used for construction signage and obstacles, and alert / disengage when it sees that color. AP1 has successfully driven me nearly all the way from Florida to California (via Wyoming) but it forked up and didn't see a damn barrel and I clipped one before I got the thing disengaged. My fault, I was looking at something else for a moment and missed the entering construction zone.... BUT that could have been a lot worse if it was a wall. It seems the ultrasonics need at least a few seconds to recognize an object, and a barrel doesn't give that kind of time. So the system is definitely not perfect by any means - nor should it be trusted as such.
A recently had a loaner X 2017 with "FSD" when my AP1 S was in for repair. I also have a friend with a model 3 with eap. There really isn't much a comparison between AP1 and anything with the full camera suite. The EAP does see construction coins, etc. Someone who uses it regularly can hopefully comment, but it does seem to avoid them on the highway. That's about the only time he uses EAP.
I will say that the FSD was much,
much smoother than my AP1 on local roads and two lane highways, and didn't make anywhere near the mistakes it does. (They didn't call it highway autopilot when we purchased it, and promised it would one day work on local streets.) The FSD in the loaner was just the standard delivered, not the beta. Which is supposed to be vastly improved. It actually made me think, okay maybe this is worth some money. Still would have a hard time parting with $15,000 to get it, but I would certainly take it if it came with a vehicle! I'm pretty sure I would spend $5,000 no problem. But then, I'm retired so kind of cheap!
On the highway it was difficult to tell any great difference between the two. Clearly the FSD saw further ahead and made decisions, and the resultant movements, more smoothly. Oh, and I actually really appreciated the stopping for stop lights and signs. Again, it's not the new beta, so I had to push on the gas to go through even green lights, but I think I would have left it on had I kept the car. Well, should they have let me keep the car!
Overall the experience in the loaner was much better than ap1. So much so that we are considering upgrading just to get that. And the loaner was still on MCU1, so the displays weren't all that great.