The flaperons on the 787 go through certain motions once the TO/GA is pressed. I've always seen it when the 787 is viewed from behind on takeoff. The motions are completely symmetrical, i.e., not related to pilot inputs.
Video example 1
Video example 2
I'm wondering why they're programmed to do that. The primary flight computers (PFC's) go through a complete self-check after every flight. Testing the ranges of motion is done by the crew after engine start-up. Seems like the wrong time to run a test.
The drooped outer ailerons do not go through a similar 'check'. My thoughts: calibration for their position, or drag reduction during initial roll. The latter would not explain the full down deployment though.
The frames below are from an on board video for a clearer image: