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tokens: We thank the anonymous referee for comments that have greatly improved this manuscript. The simulations were performed at the National Energy Research Scientific Computing centre (NERSC), Lawrence Berkeley National Laboratory , and at NASA Advanced Supercomputing (NAS) at NASA Ames Research centre. The analysis was performed on the Astric cluster at HU. This work was supported by ISF grant 24/12 , by BSF grant 2014-273 , by GIF grant G-1052-104.7/2009 , by the I-CORE Program of the PBC , ISF grant 1829/12 , by CANDELS grant HST-GO-12060.12-A , and by NSF grants AST-1010033 and AST-1405962 . DC has been partly funded by the ERC Advanced Grant, STARLIGHT: Formation of the First Stars (project number 339177).