As far as I can see, the app mirrors the thermostat display.
As ian says, there's a bit of learning involved for Comfort mode and Eco mode. Comfort mode will essentially move the next scheduled set point earlier so that the room is at the desired temperature when you asked for it - so it has to estimate how long that will take based on history and outside temperature. However this is off by default. Eco mode does the same for a reduction in temperature. The room stat and app will indicate when they are in these modes.
Aside from comfort/eco modes, the behaviour is very simple: demand for heat = LED on + relay on + boiler on.