Lots of sound advice in this thread.
Things I do before trying to regulate a watch with automatic (or manual wind) movement:
1. If it is a new-to-me watch, I wear it for a week to let it settle.
Frankly, +/- 10 seconds per day is not out of line for A2813, A2824, and A7753. I think even +/- 15 sec/day is good. You or a watchmaker can probably calibrate it to be more accurate, but the trouble/cost, in my opinion, is not worth it. If you want better accuracy, get a quartz watch, better quartz (precisionist), or best quartz (spring drive). I have an old '67 tuning fork Accutron that has been re-phased to maintain + 2 sec/day, but I don't think they make those hummers anymore (probably because battery life sucks).
2. Check to see if the movement is magnetized. All you need is a cheap compass. Move the compass on/around your watch. If the needle moves erratic, then your watch is likely magnetized. You can de-magnetize with any cheap demagnetizer (about $10USD shipped). Watch youtube for instructions. This is a must have tool if you collect automatic watches. You'd be surprised how many things in the world can magnetize your watch, without you knowing it.
3. At night, before you sleep, rest the watch on different positions to see how that affects the accuracy. My gen sub gains +1 sec/day when I wear it in the day, but losses -1 sec/day when I set it down on its side at night. Not sure if Rolex designed that into the watch, but I have a watch that is, on average, more accurate than a spring drive.