Well, that's very interesting, I didn't know that, but I've often wondered about it. You're saying that it takes less fuel to keep the house at a constant temperature than it does to let it cool down 4 degrees at night then reheat it in the morning? That does make sense. The people who market programmable thermostats claim significant fuel savings from setting the temperature back at night, but I've never been able to find any evidence that proves that claim. I've noticed that it takes several hours to get the house up from 17 degrees to 21 degrees in the morning, and the furnace is on high fire most of that time. I have not noticed any drop in the gas bills with the programmable thermostats, and I haven't been impressed with them either. I've had two pretty pricey Honeywell units fail on me in the last four years, and because of that experience the first thing I did when this latest heating failure happened was put the old manual mercury blob thermostat back in the system. Simpler mechanisms are more reliable.
Which raises another problem, I don't know who can sleep in a room at 21C, I feel like a piece of crap, dry throat, nose, slight head ache, sleeping in sweltering heat. 15C is the perfect temperature for a good sleep I find. As far as cost goes, I think it would depend more on what the outside temperature is.