A thermostat that maximizes heat-pump efficiency?

Here is my question. Is there a thermostat that by knowing the outside current temperature and forecasted temperature for the next 24 hours and setting an allowed temperature swing (delta from the the set point say +-3 or 4 degrees, can calculate the most efficient run schedule. Rated capacity at different outdoor ambient temps and manual j load calculations would likely be required input.

I Looked at the rated heating capacity of my unit. And it decreases 30% from 47 degrees down to 32.

For example today’s morning low was 37 and the forecasted high will be 60. I lowered the temp on the thermostat to 69 and will keep it there until we hit 50 outside the. I will increase the set point two degrees at a time (do I don’t turn on the heat strips) until we hit 74 or 75 inside. Tonight as soon and the temp drops below 45 I will set the thermostat back to 69 and repeat the whole process tomorrow.

It would be great if this was automated by the thermostat. The effectively you are using the home as a thermal storage device maximizing the efficiency with the trade off of larger indoor temperature swings.

I am unaware of any product that does this. Am I wrong? Is this a silly idea? What energy savings possible?

If you want to save energy, tightening up the house and upgrading the insulation might go a lot further. Do you have a high efficiency unit? Can’t imagine you’ll save much using a wider temp swing, though many thermostats will allow you to do that manually.

I think your idea of how to do it is way more complicated than it needs to be.
The Honeywell thermostats I use can be set up do not engage backup heat until a certain number of degrees below the set point and to lock out the backup heat all together above a set temperature. So if I was trying to be more efficient I would set it up so that the backup heat wouldn’t kick in until it reached the lowest temperature you’re willing to allow inside with it set at your normal set point and then lock out the key above a certain temperature like say 40 degrees or something depending on how well your house heats.
Let’s just say for example you normally heat to 70° and you are willing to let it get down to 65° you just said it so that the backup heat can’t kick in until it’s 5° below set point and when it gets really cold out you have it set to 75 degrees the indoor temperature will continue to drop as the heat pump can no longer keep up until it’s 65 and then it’ll kick in to help it maintain. I usually lock out back up above 45° outdoor temperature but that could be lowered depending on the house.