I have some devices that I’d want to know if they turned on X number of times within Y minutes. For example, a powerful sump pump would rarely be on for prolonged time. But if it turns on more than 10 times in 30 minutes, I may want to be alerted so I can check things out.
Also, if a device turns on X number of times between specified hours, or is on for Y number of minutes during specified hours would be useful info. For example, a space heater turning on when I know no one is home would be something useful to know.