Since both of those abilities allow you to complete two actions in one round, the Disengage from Melee action would be handled as follows:
If hasted character wins initiative, they are able to perform a Full normal Move away. (Actually they parry at 50% for the start of their round, but by the other individuals turn they've already disengaged).
If foe wins initiative, hasted character defends with half parry, and if the attack fails to hit then the hasted character moves away one full normal move.