The thing about this that I didn't see is that this needs to be done at a very high intensity.
With this workout at a high intensity (hitting 80 - 90% Max heart rate) your body will go into a state called epoc (excess post-exercise oxygen consumption) aka "afterburn". The theory behind this is that your body is put into oxygen debt. It will go through a process to put the body back at resting state, balancing hormones, etc and that burns calories.
Light jogging on a treadmill for 40 minutes at lets say 40 to 50% mhr burns 300 calories. After that the workout is over.
The HIIT workout will burn less calories at the time but because of epoc, your body will burn more calories at rest after the workout.
Again, this needs to be done at HIGH intensity. Look up insanity or m100 on YouTube to get a picture of the intensity level. Your heart should be pounding.
Anime Boston 10'
Photojournalist Naked Snake