I have a movie which I want to stabilize. After I open the movie in the movie clip editor, insert the marker, track it, enable the stabilization 2D, and view the stabilized result the movie clip looks fine. After I go to Compositor and make a standard setup (Movie clip -> Stabilization -> Compositing/Viewer) the clip is not well stabilized anymore in the render. I can see that settings from Stabilization 2D are taken into account (for example scale and offsets), but the marker is not staying still anymore and is jumping around in the render window. For some clips the stabilization works fine, and for others there is this difference between the clip preview and the render. What could be the reason for the difference between the movie clip preview and the render?
Update: I have added a link to a video, showing that when I move frame by frame the clip preview is stable, but the render is shaking.
Update 2: The link to the blend file and the input video.