Two points. Firstly, all electric heating is effectively 100% efficient. Think about it, how would the wasted energy be.manifested? It may be that some types of electric heating offer tighter control of temperature, with less overshoot. That can help with economy. Another possibility is to use radiant heating, which can make you warmer, but doesn't help much with big lumps of cold metal.
Secondly, it's never cheaper to leave heating on all the time, as apposed to when it's needed. It may be more convenient, but it won't be cheaper. The loss of energy is proportional to the temperature difference. I know a lot of people will tell you both these are wrong, but it's basic physics.
Insulation is your man.