I suppose this app is working correctly. I do not understand how a computer would know whether I am in a deep sleep or not but my gullibility allows me to continue using this nightly and assume it is doing something positive for me.
On the other hand, I do like its ability to allow me to fall asleep to music. I also like the wake feature not necessarily waking me at the same time every day.
With some tweaking, some sensitivity recalibrating, and perhaps a better more resourceful outlet than my iPhone, I could see this app being very effective.
Arcane Zero about Sleep Meister Lite