I'll post this critique here since the original author has not answered my questions after three days. The program feels very effective: 20 mins like at least the equal amount of weight training, and you don't have to commute to the gym to do that.
1. The routine is not actually 15 mins, even without doing switches the minimal time is 16 mins, with switches and pauses it is closer to 20-25 mins.
2. The description of the routines is a bit vague - pictures would be worth a thousand words here. "Your arms should be at 90 degrees" - in relation to what? (Sorry, I'm not a native speaker.) I'm getting some "burn" at somewhere, but I'm not actually sure if it is the burn that the original author intended.
3. Actually the most serious problem. After a workout, you are supposed to do the very same thing again on the next day. For me, this seems counter-intuitive - the muscles are still healing and repairing themselves and I'm not able to pull the contraction at the same level than the day before. I'd rather do another set of contractions, a light aerobic workout, or just let the muscles rest.
Despite these problems, I have confidence in the system, and hope to have a nice "after" picture after two months, even if I'm currently doing the thing only every other day.