Federer raced past Marinko Matosevic 6-1, 6-1 in 57 minutes. Matosevic managed three break chances but Federer saved them all en route to taking nearly three-quarters of the points on serve.
Federer had nine aces and took 21-of-25 points when his first serve was good.
No. 2-seeded Kei Nishikori came away a 6-4, 5-7, 6-2 winner over Marin Cilic. Both players had 15 break chances but Nishikori allowed Cilic to win only one while finishing off three himself.
Federer goes against Chardy in the semifinals Saturday in their first career meeting. Hewitt takes on Nishikori, a player he beat in four sets in an early round at the 2011 Wimbledon Championships in their only previous match.