Rin: Daughters of Mnemosyne

Part of TMC After Dark's New Years Eve celebration.

Rin Asogi is an immortal private detective with a thirst for vodka and a talent for attracting things that go bump in the night. In a series of nightmarish vignettes spanning sixty-five years, Rin's lush body is sadistically pierced, blown up, and mulched to a bloody pulp. The fiend behind her tortured existence is Apos, an eternal being obsessed with sacrificing Rin to Yggdrasil, the tree of all life. While Rin struggles to unravel the secrets of her endless agony, Apos lurks in the shadows, eager to tear into her ripe body and devour the memories of her countless lives. Rin's no stranger to the realm of the dead, but her next visit could last forever.

http://myanimelist.net/anime/3342/Mnemosyne:_Mnemosyne_no_Musume-tachi