I'm not sure that I understand the question. I'm not sure what you mean by "breaking the tables". I do conduct dives that require staged decompression but I don't think that's what we're talking about.
I'm saying that I can do multilevel dives without a computer or table calculations. I'm not going to go into detail but I'll try to give every one a few things to think about. I'm not suggesting that any one else do anything different than what they were taught but...I would describe my calculations (for lack of a better term) as being based on tables but a bit more conservative than many popular tables or what many computers would have you do. I just don't need to actually look at a table for recreational no-stop dives even when they're multilevel and/or multiple dives.
A couple of things to keep in mind here is that there are a number of things that are probably more important than a precise calculation using exact depth, exact time and a decompression model thats really a SWAG. Meaning that the NDL is anything but a nice thin line with safety on one side and a sure trip to the chamber on the other. Those other things relate to your own condition but more in our control is our dive habits especially ascents.
I'm not saying that any one should ignore the model of their choice or run around violating NDL's but I am saying that the precision that divers sometimes feel they are getting with a computer doesn't really exist. The computer is accurately calculating something that only loosly relates to what's going on in your body. It's like cutting a board with an axe and measuring it with a micrometer. Look at a bunch of tables and note that NDL's could vary by as much as about 40%. That's a huge variation. Will the real NDL please step forward? Play with some decompression software and notice that by changing user selectable parameters that the output profile can be drastically effected. Also notice that some of the dives your computer or table might let you do as a no-stop dive will come up requireing staged decompression. Which one will work? All? None? What precission?
Just try something. Look at a dive table closely. See if you can see any patterns. Just for fun run some dives on paper, estimate and see if you can't get within a couple of minutes of what the table says even over 2, 3 or 4 dives using some simple rules that fit the patterns on the table. Now compare your "estimates" with several different tables and maybe some sample outputs from some software. Were you in there? Now if you did those dives and use good habits in your diving and didn't try to redline it, does that theoretical couple of minutes one way or the other matter a whole lot? Personally I don't think so.
Again, I stress that I'm not suggesting that any one should do anything except what they were taught but if you look at some of the things I've pointed out and give it some thought you might look at your diving in a little differently. The point isn't whether or not you carry a computer, it's whether or not your thinking and diving is keeping up with it (proactive or reactive) and realizing that getting anywhere near a "limit" puts all bets off. If the diving is sloppy (the norm?) you may be playing with fire even if you did spend $1000 on a fancy computer and it only made it into a yellow (which is a safer color than red from what I've been told).
If you followed me on a multilevel dive carrying your computer, you're computer would be more than pleased with our profile. I just don't need the computer to do it. Further, any dive I do that's even close to what might be considered an NDL is planned as a staged decompression dive meaning that recreational divers are diving profiles every day that I wouldn't touch with a 10 ft pole...and once in a while they get bent doing it. It also means that while your computer would probably be happy with my profile, your computer or table may very well suggest profiles that I would not be happy with...so I'm glad that the thing went on your credit card bill instead of mine.