Use energy in the smartest way.
The way to save money with a smart thermostat is to not run your HVAC equipment when the house is empty. HVAC equipment only consumes electricity and fuel (oil/propane/gas) when it runs. To save roughly 10% off your heating bill set the thermostat 7 to 10 degrees lower than the usual daytime temperature when you are away from home.
All smart thermostats have features that assist homeowners to use less electricity and fuel (oil/propane/gas). To realize savings, you must understand the features and program the devices correctly.
While the up-front cost of a smart thermostat can be high, the long-term savings can add up to cover that cost many times over.