I chose to try it on the most demanding of videos, an onboard Kart video. They are very stiffly sprung and the track was very bumpy. The source video was almost unwatchable.
Anywway here is the demo video which shows side-by-side, one after the other and 'transparent' merge of the before and after video.
I have since found out that the reason it's so good is that Google bought 'Green Parrot Pictures' last year who developed professional enhancement filters, including a very good stabiliser.