It's not there yet, but the improvement has been quite significant in aggregate. Key table from the GoogleNMT paper, empirically showing a 60% relative improvement on this task:
PBMT GNMT Human Relative Improvement
English → Spanish 4.885 5.428 5.504 87%English → French 4.932 5.295 5.496 64%
English → Chinese 4.035 4.594 4.987 58%
Spanish → English 4.872 5.187 5.372 63%
French → English 5.046 5.343 5.404 83%
Chinese → English 3.694 4.263 4.636 60%