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Compatible with any Android device running 4.1+.
Power Nap for Xposed is the best app for saving battery. When your screen is off, Power Nap maximizes your device's deep sleep time by stopping services, alarms and wakelocks from waking the device when the screen is off. This means you can leave Wi-Fi/data on and still get the notifications from apps you have whitelisted, while all others are unable to wake up your device, leading to an increase in your battery life.
Power Nap for Xposed also has a Low Battery Mode, where you can selectively functions to save power when battery level is low.
Power Nap for Xposed is inspired by Sony's Stamina Mode, but accessible for all Android devices 4.1 and higher. This app requires root and Xposed.
Be sure to whitelist any third-party alarm clock app you are using, or it will be prevented from waking up your device!
android.permission.INTERNET: this is for Crashlytics only, which will automatically send me stack trace logs if the app crashes due to something non-Xposed related. No other information is being sent.
android.permission.WRITE_SETTINGS: For Low Battery Mode, to change screen brightness and screen display timeout
android.permission.READ_SYNC_SETTINGS: For Low Battery Mode, to check if auto-sync is on/off
android.permission.WRITE_SYNC_SETTINGS: For Low Battery Mode, to turn on/off auto-sync
android.permission.ACCESS_WIFI_STATE: For Low Battery Mode, to check if Wi-Fi is on/off
android.permission.CHANGE_WIFI_STATE: For Low Battery Mode, to turn on/off Wi-Fi
android.permission.ACCESS_NETWORK_STATE: For Low Battery Mode, to check if mobile data is on/off
android.permission.BLUETOOTH: For Low Battery Mode, to check if Bluetooth is on/off
android.permission.BLUETOOTH_ADMIN: For Low Battery Mode, to turn on/off Bluetooth
android.permission.RECEIVE_BOOT_COMPLETED: For Low Battery Mode, to start a service that monitors the current battery level (if LBM is enabled), when the device is finished booting