Nadal, a three-time victor of the Indian Wells title, next faces Serbian qualifier Filip Krajinovic, who ousted 14th-seeded Russian Daniil Medvedev 6-3, 6-2.
Second seed Simona Halep joined the top seeds crashing out after losing 6-2, 3-6, 6-2 to unseeded Marketa Vondrousova of the Czech Republic in one hour and 40 minutes. "She sort of came out there really aggressive", Osaka said.
"She was just playing so well. there wasn't anything that I could do in that situation". Osaka fired her coach and lost in the first round in Dubai before taking on a new coach, Jermaine Jenkins, who came on court during the match.
"Miami is the next tournament singles-wise for me". It's part of our world, and we just have to bounce back very quickly. "I played I think a great match".
Bencic, the 23rd seed from Switzerland, is on a roll, winning 11 straight matches and beating Top 10 players in her last five matches.
Former world number ones Venus Williams and Garbine Muguruza made it into the quarter-finals. "We beat a very experienced doubles team". "I did a lot of things well", said Nadal, adding that despite his lopsided record over Schwartzman he considered the Argentine a formidable opponent, citing tough matches against him at the Australian Open and Roland Garros. I play few times a year.
Djokovic was the biggest casualty of the men's draw.
Andreescu improved her match record for 2019 to 25-3, including qualifying, as she became the youngest player to make the last eight at Indian Wells since a 17-year-old Anastasia Pavlyuchenkova reached the semis in 2009.
While Federer and Nadal have voted against having Chris Kermode as ATP Chairman, Player's Council President Djokovic has backed Kermode.
"It's a very special moment", Kohlschreiber said post-match. "Completely different conditions today. I'm really excited about that". "He deserved to win".
Djokovic and Fognini got the first break of the match when they broke Rojer and Tecau in the fifth game to take a 3-2 first-set lead. "But it's everything I could do today".
Then it was Kohlschreiber's turn to show some nerves, a sudden spate of four errors, including a double fault, giving Djokovic a break.
Nevertheless, Djokovic thought he was poised for a deeper run, something he will now try to achieve in doubles alongside Italian playing partner Fabio Fognini.
Veteran tennis journalist Craig Gabriel questioned if "all is right" with Djokovic during his shock loss.
"I lose to (Kohlschreiber) and get absolutely shredded "same old Kyrgios" how about the guy is just good?"