At one point I was cruising over the Atlantic at FL320 and the autopilot put the plane in a nose dive, well below what normal law would allow, from which I was unable to recover. (Was unable to get a response from the flight controls.) Then on another flight the autopilot put the aircraft into a constant 360 degree turn before crashing into the south of France. Its worth noting in both instances I got a red speed bar, different from the barbers pulls, that covered every airspeed.