Digging would clean it out almost completely except for one side that would still be in contact with a portino of clay soil (it is covered with small rocks now) and except for depth which I don't really know how much is (as you may remember the garden was already made when I came here).
The problem with compost is that I don't know where to find it. It's not sold here and I can't compost in the garden. I would prefer doing so, it would be less tiring. A couple of gardener suggested to use manure and iron sulfate. It' something to do in autumn they say, but since the bed is doing nothing now I think I could do it now. Let me see if another research shows where to find compost and then I'll decide.