As Robert says there is no legal requirement for PAT testing, it is a knee jerk solution to the requirements of I think PUWER, Provision and Use of Work Equipment regulations, which requires that electrical equipment is safe. I think it's stretching reason to call a washing machine 'portable'. If a power lead has damaged insulation such that the conductors are exposed but not touching it would still pass the box of tricks test, and I've seen the chaps where I once worked just plug it in, press the button, sign the form, no attempt to inspect the cable. For regularly used portable gear in an industrial setting regular inspection of the cable, just looking at it, is much more sensible, after all the likely failure is damage to cable or coming loose at the plug.
If Grenville is correct, and I've no reason to doubt it, most modern double insulated stuff would pass no matter what fault it had. I did once ask why the chap was checking the live-earth on a cable with a plastic earth pin