If I remember correctly he fixed this by lowering his monitor's refresh rate to 60hz. Here is what the run at a normal speed should look like: Ex Run
I played your game 5 years ago but seeing your video, I think it was exactly the same, the actual problem being hazards which instantly hit you without any warning time, which is why I request you to improve it by adding shadows to warn where boulders will fall and smoke to warn where fires will happen in order to let players anticipate where to avoid running instead of instantly hitting us without any warning which made me rage quit after many tries and fails.
Well, I am sorry, but atm I do not have the tools nor the time to make you a custom build. Stick to the left side in the first part then to the right side and then take it slow in the last two parts and really look at what is going on. Or cheese it by playing at a really low framerate or just ask a friend to help you or just git gud :)