Swiss great Federer, fresh off his 100th career title in Dubai, played Britain's Kyle Edmund later in the day. In addition to that, Karen Khachanov proved his ability as a returner as he challenged Isner's serve consistently and ended up winning a very important break point in the opening set.
"He didn't have the best start, so that cost him the first set", Federer said.
"He's been around for so many years and he doesn't really get overwhelmed by the occasion of playing on center court", he told reporters. Conditions are tough with the glare, and the jump of the ball is sometimes hard to find the rhythm and timing.
World number two Nadal stayed on track to improve that number as he swept past Argentine Diego Schwartzman 6-3, 6-1 to reach the last 16.
"He's also up and coming, so that's fun", Federer said of Hurkacz.
Kecmanovic became the first lucky loser to reach the last eight at Indian Wells since the ATP's Masters 1000 series launched in 1990.
Awaiting Raonic in today's quarterfinals is 19-year-old Miomir Kecmanovic who earned a retirement from Yoshihito Nishioka.
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Barr's contract year was filled with ups and downs as he played in 13 games and tallied a career-low with 55 tackles (39 solo). The Vikings began talks about an extension for Barr last season, before opting to put discussions on hold for the 2018 season.
Kecmanovic, who gained entry to the second round when fifth-seeded Kevin Anderson withdrew with an elbow injury, is in his first ATP quarter-final.
The 22-year-old will next face Canadian teenager Denis Shapovalov, who continued his run of dominant serving without being broken on his way to an impressive 6-4 6-2 win over 10th seeded Croat Marin Cilic.
Wawrinka needed 3 hours and 24 minutes and five match points to subdue the 31st-ranked Hungarian on Saturday night.
"He's the best player to ever play the sport", Wawrinka said.
"I felt pretty confident on my own service games". I was able to mix up my game, cover my serve, be unsafe on the return - maybe take some rhythm away from Stan. "I'm sure I profited a little bit from it, but again, I was able to keep him uncomfortable throughout the match".
The victor of that match will face either 18th-seeded Frenchman Gael Monfils or unseeded German Philipp Kohlschreiber - who stunned world number one Novak Djokovic 6-4, 6-4 on Tuesday.