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tokens: We thank Nick Battaglia, Rychard Bouwens, Camila Correa, Jeremy Tinker, and Rogier Windhorst for helpful discussions. We thank Rick Costa, Roberto Gomez, and Bill Wichser for help with computing. H.T. acknowledges support from NASA grant ATP-NNX14AB57G and NSF grant AST-1312991. R.C. acknowledges support from NASA grant NNX12AF91G. Simulations were run at the NASA Advanced Supercomputing (NAS) Division, Pittsburgh Supercomputing Center (PSC), and the Princeton Institute for Computational Science and Engineering (PICSciE).