I'm definitely seeing a loss in quality on the "mini" encodes relative to the source -- mostly in loss of grain, and fine details (in hair, etc).
However, if they're analyzing the motion within the video and using perceptual algorithms to determine what the focal points are, etc. then it's totally fair to throw away details in sections that are peripheral, and likewise getting rid of grain in a blurred-out portion of the screen that's panning makes sense if your eye wouldn't perceive that anyway. This seems to be a much more aggressive version of x264's "psy" optimizations, essentially.
So the resulting video might look very similar in quality to someone watching the movie, but not to someone analyzing the frames and details. There's a hard line to draw on how that's marketed -- it's not actually "without losing quality", but it might be "without looking worse"?
I'm going to do two sets of comparisons for each clip: Beamr's video compared to x264 with similar settings and bitrate, and then Beamr-like settings and high quality settings compared at a much more realistic bitrate that you would actually see in use in digital video on the internet.
I'm up for that. It'll take a while to download all the source videos, but I'll report back with results and videos when I'm done.
I already did a test encode with x264 --preset veryslow --tune film --level 4.0 --crf 21 on the Bourne Identity clip, and the result is within the same realm than the Beamr video with ~58% the filesize. Which is not surprising at all, considering Beamr's settings.
EDIT: Testing with nearly identical settings (x264 --bframes 0 -- subme 8 --no-psy --no-mbtree) using the latest x264 gives me about 40% the bitrate of the Beamr example for the Bourne Identity clip, which unsurprisingly looks notably worse. So maybe Beamr's "magical" encoding technology is all about fiddling with x264's CRF to make it double the bitrate at a given value compared to vanilla x264?