I accidentally shot a roll of triX B/W 400 at 200 ASA. Since overexposed shots come out brighter, I would think it would be better to develop the film LONGER, since that makes them darker/ higher contrast. But most sites tell you to do the opposite, and I don't understand why.
Here's what is going on with film...
The emulsion of the film (the light sensitive part) is made of silver halide crystals. Silver halide changes when exposed to light, the more light, the more change. It is the developing process that completes the change of the crystals, and the 'fixing' process that removes all the unexposed crystals, leaving you with a photo negative. There is latitude, range, in all of this process. Time is a factor, so developing time is going to change the halides more or less depending on how long the time is.
So, film that has been overexposed, in your case one stop, is going to look more and more overexposed the longer the development time goes. Those halides that were hammered by light will just continue to cook and cook and cook with longer development. On the other extreme, if you used an ridiculously short development time, like 30 seconds, you would end up with film that would look grossly underexposed, despite the fact that the exposure is +1.
The famous Zone System of exposure has a basic rule that you 'overexpose and under-develop'. This gives you shadow detail and un-blown highlights.
So if you are going to develop that film, do the time/temp calculations to develop it minus 1, that should give you film that is like it was exposed at 400.