The apps claiming to save battery are not all the same, I agree with Sanjay that clearing RAM isn't going to help much. Maybe if you have a poorly behaving app but those are best off being removed.
The only battery saving app method I think helps is where the app keeps your wifi, mobile data (and bluetooth if you can) off when the phone is on standby, and turns it on only on a scheduled basis and when you turn the screen on. I set mine to every hour. You still get calls and SMS messages. It's just not good if you have a background app you need running all the time, like voice over IP, but you may be ok with setting a more frequent rate like every 5 minutes, but with less battery savings. Me and a friend had seen about 20% more battery life doing this. If your phone is not in standby much then I'd expect much less benefit. It also addressed periodic severe battery drain when I was inside buildings with a very weak signal and the phone actually got hot as it kept trying to connect.
I haven't tried the built in power savings and have great battery life for now. I already have haptic off. I don't know about the screen power savings, my concern has been more about the excessive drain on standby. The CPU power savings would probably help but I don't like the idea of buying a high end phone and crippling the processor. Maybe if it only slows it down while in standby? I don't get that impression though.