Yeah IMO 3 in one day is a hell of a lot.
I have a pretty big habit...like 3 north jersey sized bundles a day... my habit has gone up and down, but I have never needed more than 4mg in a single dose (as long as I waited a suitable time after my last heroin dose, i.e. atleast 24-36 hours).
Sometimes on day 1&2 I might take 4mg in the morning 4mg in the evening, then I just start tapering from there, 3mg am 3mg pm, 2mg am 2mg pm, stay at there for a few days, then go down as you feel comfortable.
8x 8mg bupe is a good amount to do a short detox with. Just dont overdo it the first days thinking that takinig a few is going to make you miraculously feel better. If you have a long habit, it might take you a few days to adjust, taking extra will not help..