Fractale 

In the future, the world is managed by a network called the Fractale System. A boy named Clain is living an aimless life with his parents, who are actually computer-generated "Doppels". One day, he runs into a pretty girl named Phryne, who is being pursued by someone. When he rescues her and helps to keep her hidden from her pursuers, he is pulled into her troubles as well. After meeting her, his life will never be the same!