Whenever an automaton is hit with a special attack while equipped with the analyzer the next X times the automaton is hit with the same special attack the attack is mitigated by 40% (regardless of maneuvers). The number of times the same special attack can be mitigated depends upon the number of Earth Maneuvers present when the automaton was initially hit.
The analyzer can only keep track of one move at a time. If the puppet is hit by a different move, all memory of the previous will be lost. Thus, this is only effective when the puppet is hit repeatedly by one, and only one move. The count is independent of which mob used the move, and the puppet does not have to be deployed. Memory persists across multiple mobs, but will reset upon zoning or reactivation.
The analyzer also counts moves that do not do damage. It is unknown whether it reduces the duration of status effects.