This is a tool-assisted speedrun, made on an emulator, using frame-by-frame shooting, savestates, and rerecords to overcome reaction time and human error. As such, it is purely a form of entertainment, and is not designed to show skill.
This is a TAS of the Japanese Super Mario Bros. 2, a.k.a. 'The Lost Levels', using a suboptimal punk called 'Luigi'. He jumps higher than Mario, but acts slower in many ways. However, the movie is in no way worse than the Mario version - some new creative solutions have been found.
This is a 9 second improvement over the previous movie. Read the authors' comments for details.