Where did Saruman go?

[Foolofatook]

I'm quite content with Sauron's whereabouts after death, to be a shadow wandering Middle Earth forever. But Saruman was rejected by the Valar as well. Does he share in Sauron's fate? I surely hope not. Saruman was indeed an evil force in the world at the end of the Third Age but he did so much good prior to his 60 or so years of evil at the most inappropriate time. Did he then die as a man would? Or possibly as an elf would?

Taking the Christian approach doesn't really answer my question either. Sauron is a Satan figure whereas Saruman is a Judas figure. Keeping that in mind the two should have different fates and while in the end it will not be good for Saruman there should be some difference. I also don't see him falling into the void. That would be the worst fate of all surpassing Melkor and Sauron, to live forever powerless with a master that you both betrayed and failed. It's an eternity of Wormtongue for a once noble and essentially good being. If you have any ideas I'd love to hear them.