My new chart takes a look at the very long-term growth of Egypt compared with China based on estimates of their GDP per capita over that last 2000 years. (I am including some of the major ruling dynasties for Egypt and a few world events for reference.) They had similar GDP per capita for most of this time period. However, there are three points when they cross 1100 (China surpasses Egypt), 1850 (Egypt surpasses China), 1994 at which point China leaps ahead.
Data from Angus Maddison's website