That record now belongs to American Arthur Ashe who won as a 31-year-old in 1975. Cilic is yet to drop a set and his thrashing of Spaniard Roberto Bautista Agut in the fourth round shows he means business at the All England Club.
"I no longer have to worry about my state of health, and it is a great relief", concluded the one who should, however, drag from the seventh to the ninth rank in the next publication of the ranking of ATP.
"Sam likes the conditions here".
Noted Federer: "They have time to figure out how they're going to prep (the courts) for Monday". Goes for his shots.
"I didn't expect it go to that easy", said Federer, the Australian Open champion.
"Maybe you don't want players to feel that way, because the moment you become scared of moving properly, it's really hard to play, I must admit".
However, when Querrey fought back in the second, you felt this wasn't going to be quite as straightforward, even after Murray restored his one-set lead by taking the third in a tie-break.
Nadal has a 5-1 record over Muller, although the Luxembourg grass court specialist beat him at Wimbledon in 2005.
The big American will be playing in his first semifinal at the majors at the 42 time of asking.
But, if anything confirmed Federer's masterclass level it was his Quarter-Final demolishing of Canadian and seed number six Milos Raonic (6-4, 6-2, 7 (7)-6-4).
Querrey is the first American to reach such a milestone Grand Slam since Andy Roddick on the English turf, in 2009. I'm very touched, actually, to have so much support. "I'm doing well so hopefully I keep it up", he said.
If you had taken Federer, Djokovic and Murray out of the quarter-final line-up here, you would have been left with five physical giants whose game is all about hitting huge serves and bludgeoning massive ground strokes from the baseline: Berdych (6ft 5in), Cilic (6ft 6in), Querrey (6ft 6in), Milos Raonic (6ft 5in) and Gilles Muller (6ft 4in).
Djokovic, 30, had treatment on a right shoulder injury during his last-16 win over Adrian Mannarino and needed further attention against Berdych.
TALKING POINT: Injuries. Novak Djokovic retired hurt with an elbow problem and Murray was lame for the last two sets of his quarter-final with his hip injury.
Federer is into his 42nd grand slam semi-final, also a record, as he chases a 19th major. The Croatian - in the semi-finals for the first time - will face Querrey on Friday (14th July).
Williams will next face French Open champion Jelena Ostapenko in the quarterfinals.
After losing to Raonic in the Wimbledon semi-finals past year, he shut down his season to rest a knee injury which had already required surgery earlier in 2016.
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