Barty faced a match point but the defending champion and world number one dug deep to prevail in three sets against Kristina Kucova on Thursday.
Romanian third seed Halep also needed three sets at the WTA Premier tournament in Miami.
BARTY PRODUCES COMEBACK
In her first match outside of Australia in more than 12 months, Barty survived to top qualifier Kucova in Miami.
Barty trailed 5-2 in the third set, with Kucova earning a match point at 5-3 but the Australian star saved it and won the final five games of the match to secure a spot in the round of 32.
Winner of the 2019 French Open, Barty sent down an equal career-high 15 aces in two-and-a-half hours.
"Today was really hard work, and I enjoyed every single minute of it," Barty said on court post-game. "There’s nothing like coming through a test like that, and now I get another opportunity in a couple days' time to play another tough match and test myself again."
Next up for Barty is 2017 Roland Garros champion Jelena Ostapenko, who outlasted Kirsten Flipkens 6-2 5-7 6-3.
HALEP REACHES MILESTONE
Halep brought up her 400th WTA main-draw triumph with a 3-6 6-4 6-0 victory over France's Caroline Garcia.
After dropping the opening set, Halep won 11 of the final 12 games to move through to the next round.
Halep won in one hour, 48 minutes, drastically improving on her first serve after the opening set while coming to grips with Garcia's kick serve.
"I needed time to get used to it and to get the rhythm," Halep said about Garcia's serve having improved her head-to-head record to 7-1, with Anastasija Sevastova awaiting in the last 32 after eliminating American sensation Coco Gauff.
Halep received attention on her shoulder early in the second. "I struggled with my serve," Halep said. "I struggled with my shoulder a little bit, so the attention was a little bit on the pain. [After that] I started to relax myself."
KERBER'S DOUBLE BAGEL
Three-time grand slam winner Angelique Kerber has been up and down in recently, but she flexed her muscles with a 6-0 6-0 humiliation of Renata Zarazua.
Aryna Sabalenka – the seventh seed – was another one to fend off match points before rallying 0-6 6-3 7-6 (11-9) past Bulgarian qualifier Tsvetana Pironkova in a gutsy.
Last year's French Open champion Iga Swiatek knocked off Barbora Krejcikova 6-4 6-2, while ninth seed and two-time Wimbledon champion Petra Kvitova got past Aliza Cornet 6-0 6-4.
Fifth seed Elina Svitolina survived to beat Shelby Rogers 3-6 7-5 6-3 and two-time major winner Victoria Azarenka benefited from a walkover.
The incident happened after Osaka had been broken by Kudermetova in the first game, with someone in attendance reported to have yelled "Naomi, you suck".
Four-time grand slam winner Osaka, competing in her first tournament since January's shock early Australian Open exit, appeared to ask the chair umpire to take action.
Osaka initially put that unneeded distraction behind her by taking the next point, but she wasted two break opportunities and Kudermetova successfully held to move 2-0 ahead.
The 24-year-old was in tears as she prepared to serve her next game and held further discussions with the court supervisor after going 3-0 down.
She could not recover and, after losing the first set 6-0, Osaka suffered the only break of serve in the seventh game of the second set to lose the contest fairly resoundingly.
Kudermetova will now face Marie Bouzkova for a place in the last 16 after the Czech recovered to see off home hopeful Jessica Pegula 5-7 6-2 6-0.
Two-time champion Victoria Azarenka also made it through on Saturday with a 6-3 7-5 victory over lucky loser Astra Sharma, setting up a meeting with Elena Rybakina.
Leyla Fernandez saved four match points against Amanda Anisimova in a dramatic match that came to an end when the American retired through illness.
After losing the opener 6-2, Fernandez took the second set to a tie-break but felt unable to continue. Anisimova will meet Shelby Rogers in a rematch of last year's last-16 encounter.
Osaka was in action for the first time since a shock early exit at the Australian Open in January, but she ultimately had too much for Stephens in a 3-6 6-1 6-2 success.
Stephens initially looked the sharper of the two former major champions in the second-round clash, impressively taking a first-set lead, but Osaka found her groove after a slow start to level the contest.
Osaka then had to save three break points at 2-0 down in the decider, and that appeared to inspire another surge as she rattled off six successive games to roar to an emphatic win.
Shelby Rogers got past Nuria Parrizas-Dias in almost three hours, winning 6-1 5-7 7-6 (7-3), and last week's Monterrey Open runner-up Camila Osorio retired down 6-4 5-0 against Aliaksandra Sasnovich.
Yulia Putintseva got past Ashlyn Krueger 6-3 6-2 and Ukraine's Marta Kostyuk won in three hours and nine minutes over Maryna Zanevska 6-7 (5-7) 7-6 (8-6) 7-5.
Last month's Abierto Zapopan runner-up Marie Bouzkova eased past China's Wang Qiang 6-3 7-6 (7-5), while American Amanda Anisimova defeated compatriot Emma Navarro 6-2 6-2.
The Briton, who won the US Open in 2021, went down 6-3 3-6 6-2 in a genuine tug-of-war against the 31st-ranked Canadian.
Andreescu sent down seven aces for the match, including four in the first set along with 12 winners as she claimed an early lead.
Raducanu responded with greater aggression, securing the crucial break in the eighth game, before serving out to level the contest.
But Andreescu showed composure and quality in the big points in the final set, winning the final four games to round out the victory, sealing a second-round clash with seventh seed Maria Sakkari.
Andreescu finished with 32 winners compared to Raducanu's 20, while the Briton committed 40 unforced errors.
World number 42 Shelby Rogers edged out USA compatriot Sloane Stephens in just under two hours, winning 6-4 3-6 6-2. Rogers will take on second seed Aryna Sabalenka, who is arguably the tournament favourite after top seed Iga Swiatek's withdrawal, in the next round.
Rogers was one of five Americans to progress, including 2020 Australian Open champion Sofia Kenin who defeated Australia's Storm Hunter 6-0 7-6 (7-5).
World number 35 Amanda Anisimova retired down 7-6 (7-5) 5-2 to countrywoman Madison Brengle.
Leylah Fernandez, the player whom Raducanu beat in the 2021 US Open final, advanced into the second round with a 6-4 6-3 victory over Lesia Tsurenko in 88 minutes.
American Rogers was too good for Fernandez, winning 6-2 7-5 at the WTA International event in Lexington on Thursday.
After cruising in the opening set, Rogers trailed 5-2 in the second before reeling off five straight games to trump the emerging Canadian teenager.
Awaiting Rogers in the last eight is countrywoman and former world number one Serena Williams, who outlasted sister Venus earlier in the day.
Serena rallied from a set down to defeat Venus 3-6 6-3 6-4 in the 31st instalment of a rivalry dating back 22 years.
Down 4-2 in the deciding set, the 38-year-old Serena fought back to vanquish Venus after two hours, 19 minutes on Center Court.
Elsewhere, Jil Teichmann stunned fifth seed Yulia Putintseva 6-2 6-2 and next meets Cici Bellis – who accounted for Jessica Pegula 6-3 6-2.
Following her third-round appearance at the Volvo Car Open, Charleston native Rogers moved through to the quarters of her second hometown tournament in as many weeks after easing past qualifier Claire Liu 6-2 6-2.
"I think I was due for a couple of tame matches," said third seed Rogers, who lost to world number one Ash Barty at last week's Volvo Car Open. "I've had quite a few mental battles over the last couple of months, so it's been nice to just take care of business in straight sets, get in and get out."
Next up for Rogers at the WTA 250 event is in-form Montenegrin opponent Danka Kovinic, who upstaged seventh seed Davis 6-1 1-6 6-3 on Wednesday.
Australian sixth seed Tomljanovic was swept aside by teenager Clara Tauson 6-1 6-4, while Nao Hibino beat Francesca Di Lorenzo 6-4 6-3.
World number 46 Rogers, who reached the last 16 at last week's Volvo Car Open in Charleston, proved too good for fellow American Caty McNally winning 6-0 6-1 in just over an hour.
Doi's match with countrywoman Nao Hibino lasted much longer, extending to three hours and nine minutes with the latter progressing in a walkover 7-5 5-7 6-6. Doi succumbed to cramps in the third set tiebreaker.
Seventh seed Lauren Davis defeated Coco Vandeweghe 7-6 (7-3) 6-4 in their All American battle while Australian sixth seed Ajla Tomljanovic cruised past Renata Zarazua 6-1 6-1 in the final match of the first day.
Eighth seed Madison Brengle also progressed in three sets past Natalia Vikhlyantseva and unseeded Dane Clara Tauson won 6-3 6-3 over Liudmila Samsonova.
Williams – the top seed and 23-time grand slam champion – was ousted 1-6 6-4 7-6 (7-5) by fellow American Rogers in Lexington on Friday.
Stepping up her preparation ahead of this month's US Open in New York, Williams overcame sister Venus in the last 16 on Thursday but the 38-year-old star was unable continue her run at the WTA International event.
Rogers – in her first meeting against Serena Williams – rallied from a set down in the all-American affair to earn a semi-final showdown with Jil Teichmann, who accounted for Cici Bellis 6-2 6-4.
"It was important for me going onto the court thinking I could win that match, and knowing I could take care of my service games," Rogers said. "Because [Williams] has probably the best serve of all time, and when she wants to, she can win a point on her serve."
Teenage sensation Coco Gauff, meanwhile, fought back from a set and a break down to top eighth seed Ons Jabeur 4-6 6-4 6-1.
Gauff trailed 6-4 4-2 but the 16-year-old American completed a thrilling comeback to reach her second WTA semi-final.
Awaiting Gauff in the final four is countrywoman Jennifer Brady, who eased past Marie Bouzkova 6-1 6-2.
The world number five lost 6-4 7-6 (7-3) to 21st-ranked Rybakina, whose reward is a meeting with Coco Gauff's conqueror Anastasija Sevastova in the quarter-finals.
Third seed Bianca Andreescu of Canada also lost in straight sets, Anett Kontaveit of Estonia beating her 6-3 6-3.
And it was the same story for fourth seed Iga Swiatek, though she at least took a set as she was beaten by Daria Kasatkina.
It took an impressive rally from Russia's Kasatkina to bounce back from losing the first en route to a 4-6 6-0 6-1 success.
She will now face Jelena Ostapenko, who beat Ons Jabeur 5-7 6-4 6-3.
In fact, top seed Aryna Sabalenka was the only seed to avoid a surprise exit on Wednesday as she cruised through.
The Belarussian, ranked fourth in the world, beat Alison Riske 6-1 6-4 in just over an hour to set up a clash with Camila Giorgi.
Giorgi had earlier followed up a win over defending champion Karolina Pliskova in the last round by beating Shelby Rogers 6-3 4-6 6-2.
There was no such string of shocks at Wednesday's other WTA event, the Bad Homburg Open in Germany, though first and second seeds Petra Kvitova and Victoria Azarenka needed three sets to progress.
Kvitova lost a second-set tie-break as she beat Ann Li 6-2 6-7 (4-7) 6-1 to reach the quarters, while Azarenka defeated Alize Cornet 6-4 3-6 7-6 (9-7).
Angelique Kerber, the fourth seed, progressed more smoothly, earning a comfortable 6-0 6-2 win over Russia's Anna Blinkova.
And Nadia Podoroska saw off the challenge of Patricia Maria Tig, winning 7-6 (7-4) 2-6 6-4.
Teichmann produced an astonishing fightback to beat fourth seed Svitolina 2-6 6-4 7-6 (7-5) at the Caja Magica.
Unseeded Swiss Teichmann came from a set and a break down to claim the scalp of the world number five, who squandered a commanding 5-1 lead in the final set.
Svitolina saw six match points come and go in an incredible deciding set, opportunities she was left to rue when the 40-ranked Teichmann won a tie-break to end a contest that took two hours and 33 minutes to settle.
World number one Barty extended her winning run on clay to 12 matches with a 6-2 6-1 success over Shelby Rogers.
Barty claimed her third title of the year in Stuttgart last weekend and the Australian needed just an hour to send Rogers packing, losing just two points on her first serve and not facing a single break point.
French Open champion Iga Swiatek was also an emphatic winner, easing past another American in the form of Alison Riske 6-1 6-1.
Swiatek, making her debut in this tournament, has won 16 consecutive matches on clay after blowing Riske away.
Defending champion Kiki Bertens beat 15-year-old Victoria Jimenez Kasintseva 6-4 6-0, while Petra Kvitova progressed when opponent Marie Bouzkova retired due to hand injury after the Czech won the first set.
Garbine Muguruza was forced to withdraw ahead of her meeting with Sloane Stephens due to a leg injury. Belinda Bencic, Angelique Kerber and Johanna Konta were among the other winners in the Spanish capital.
Svitolina – the fourth seed – dropped the first set to 32nd seed Sorana Cirstea before fighting back to reach the round of 16 at the WTA Premier 1000 event on Sunday.
Two-time grand-slam champion Azarenka joined Svitolina in the next round after knocking out seventh seed Petra Kvitova, but 11th seed Halep became Aliaksandra Sasnovich's latest conquest.
SVITOLINA SURVIVES CIRSTEA SCARE
Svitolina needed two hours, 32 minutes to outlast Cirstea 4-6 6-4 7-6 (7-3) and remain unbeaten in three career matches against the Romanian.
The Ukrainian was on the defensive throughout the opening set, facing 11 break points on her serve and managing to save eight of them before Cirstea finally won out.
Svitolina tightened things up from there, saving four of five break points the rest of the match.
"It was a very tough match today, and I was fighting and trying to find my game," said Svitolina, who will face Jessica Pegula next. "It was a bit of a rollercoaster.
"I wish I could play a little bit better in the first set, I had chances to grab that set, but unfortunately it didn't play the way I wanted. I had to fight for every point, and Sorana played a great match, I think. I'm happy that I could win today."
AZARENKA TAKES DOWN KVITOVA
Azarenka won her first two Tour-level matches against Kvitova in 2008 and 2009 but had prevailed only once in six meetings since then before Sunday's 7-5 6-4 triumph.
The two-time Indian Wells champion converted break-point chances when she needed them, six of 11 in all, and had 18 unforced errors to Kvitova's 26.
"It was important to just stay there, really take my opportunities, not to let her," Azarenka said after taking down two-time Wimbledon winner Kvitova. "If she gets in the groove in couple points, not to kind of let her extend that streak, if you want to call it that.
"I was trying to still create opportunities for myself, be more aggressive, and honestly just believing also that what I'm doing is right and see how I can execute that. So intention was good. Execution followed after."
ANOTHER UPSET FOR SASNOVICH
After knocking off US Open champion Emma Raducanu in the second round, Sasnovich ushered out another grand slam winner in Halep 7-5 6-4 and will next face Azarenka.
The world number 100 had 22 winners to 16 for Halep and won 61.8 per cent of points on her serve as she reached the round of 16 at Indian Wells for the first time.
In other matches Sunday, ninth seed Anastasia Pavlyuchenkova fell to 23rd seed and US Open runner-up Leylah Fernandez 5-7 6-3 6-4, while second seed Iga Swiatek dropped only one game in a 6-1 6-0 demolition of Veronika Kudermetova.
Jelena Ostapenko and Shelby Rogers also advanced.
French Open champion Swiatek secured a 6-3 6-4 triumph over Madison Brengle to set up a last-16 tie against home favourite Maddison Inglis, who beat veteran Sam Stosur in a three-set epic.
"Inside I'm the same person, but I realise that everybody's kind of treating me differently," Swiatek said after the win, as she reflected on the attention she now receives as a grand slam champion.
"So it's something you have to adjust to, and also keep yourself down to earth and the same as you were.
"We did a great job last year and hopefully this season will also be successful.
"Tennis-wise it also changes - I’m not an underdog anymore, so I start my matches with a different attitude, and that’s the kind of thing you have to learn to do.
"Madison is the kind of player who uses her opponent's power, so I had to stay cool.
"I tried to calm myself down, stay low in the legs, and sometimes play longer rallies to get in the rhythm, because the first round is always tough at any tournament."
Gauff also progressed, saving eight of the 11 break points she faced to defeat Jasmine Paolini 6-4 6-7 (4-7) 6-2 in a match lasting over two-and-a-half hours.
A tough test against Petra Matric is up next for Gauff in the last 16 after the Croatian sixth seed recovered from a set down to win against qualifier Ludmilla Samsonova.
Gauff's fellow American Shelby Rogers is the first player to reach the quarter-finals.
Konta had a bye in the opening round and had no answers for Rogers as she played her first match of the WTA 500 tournament.
Rogers won 6-2 6-2 in just 76 minutes, never dropping serve in the contest.
The world number one had won the first set 7-5, but her Australian opponent was forced to concede at 2-2 in the second.
Swiatek is now the female player with the most wins in a single year (58) in the last five seasons. Former world number one Ash Barty recorded 57 victories in 2019.
The second seed in Ostrava is out after Paula Badosa was beaten 7-6 (7-4) 6-4 by Petra Kvitova in front of a delighted Czech crowd, while Elena Rybakina is also through to the last eight after coming from behind to win against Aliaksandra Sasnovich 6-7 (5-7) 6-4 7-5.
Wednesday's two other matches saw more success for Czech participants as Karolina Muchova beat seventh seed Beatriz Haddad Maia 6-4 6-4, while Barbora Krejcikova defeated Shelby Rogers 6-2 6-2.
There was less Czech joy at the Jasmin Open in Tunisia, where Katerina Siniakova was beaten 7-5 6-2 by Claire Liu.
Elsewhere, number three seed Alize Cornet eased past Harriet Dart 6-3 6-4, Elise Mertens came from behind to beat Despina Papamichail and Diane Parry went through against French compatriot Lucrezia Stefanini after the latter retired hurt in the second set.
Swiatek was swept aside by Jelena Ostapenko in the battle between two previous French Open champions in the desert.
Elina Svitolina, reigning Roland Garros champion Barbora Krejcikova and US Open runner-up Leylah Fernandez were also sent packing from the WTA Premier 1000 event.
SWIATEK CRUMBLES
After top seed Karolina Pliskova was eliminated on Monday, 2020 French Open champion Swiatek crashed out following a 6-4 6-3 defeat to Ostapenko.
Ostapenko – the 2017 Roland Garros winner – rallied from a break down in each set to reach the quarter-finals at Indian Wells, where the 24th seed hit 25 winners to 21 unforced errors in 93 minutes.
"I knew it was going to be a very tough match because she's such a great player, she won a grand slam and she's playing great tennis," Ostapenko said.
Standing in the way of Ostapenko and the semi-finals is Shelby Rodgers, who edged Flushing Meadows finalist Fernandez 2-6 6-1 7-6 (7-4).
SVITOLINA UPSTAGED BY PEGULA
Svitolina's campaign in the desert did not go according to plan, the fourth seed crushed 6-1 6-1 by Jessica Pegula.
Pegula – the 2021 Australian Open quarter-finalist – dismantled Svitolina in just 68 minutes for her seventh last-eight appearance of the season and fourth at WTA 1000 level.
"I think I've just been making a lot of really good decisions in the right moments," said Pegula, who will face two-time grand slam champion Victoria Azarenka following her seventh top-10 victory. "That obviously comes with playing a lot of matches, winning and getting confidence... it's just been more belief that I can play at this level. I think this year, I realised that, and I've been having good results."
KERBER POWERS THROUGH AS KREJCIKOVA FALLS
Three-time major winner and 10th seed Kerber will feature in the quarter-finals after overpowering Ajla Tomljanovic 6-4 6-1.
Kerber will next meet 21st seed Paula Badosa, who shocked third seed and reigning French Open champion Krejcikova 6-1 7-5.
"I think I played a pretty good match today," Badosa said. "I knew I had to play on a high level against Barbora. She's an amazing player, very talented. We played before so I knew what I was going to find there on court. I'm feeling good and I'm very happy that I could play my best today."
Rogers produced an impressive shock in Friday's quarter-finals when beating 23-time grand slam champion Williams in a dramatic third-set tie-breaker in Lexington, but she came unstuck against Teichmann.
The 23-year-old was a dominant victor as well, seeing off Rogers 6-3 6-2, as she continued her impressive run of not dropping a set all week.
Teichmann, who is also involved with the doubles, has no special secret to her form, but is grateful to have found a groove.
"I don't have an answer for why I don't lose any sets," she said. "I just feel very good. I'm playing very consistent. I feel great on court. I guess that's the main reason."
Brady has enjoyed a similarly emphatic run to the final - this match saw her lose four matches in a single set for the first time in Lexington, as she saw off teen sensation Gauff 6-2 6-4 on Saturday.
Gauff lost three games on her serve in the first set and, although she improved in the second, Brady's break in the third game proved crucial as she reached a second career final.
Osaka – the 2018 champion and former world number one – was too good for Rogers 6-3 6-4 at Flushing Meadows on Tuesday.
A two-time grand slam champion, Osaka was 0-3 against Rogers heading into the quarter-final but the fourth seed finally ended her drought thanks to 24 winners and just eight unforced errors.
Osaka – who has claimed the US Open and Australian Open on the two occasions she has progressed beyond the fourth round of a slam – will face Jennifer Brady in the semi-finals.
It was an evening opening on Arthur Ashe Stadium behind closed doors, a showdown from the baseline under lights.
Osaka earned the first break-point chance in the sixth game, but Rogers caught the line with an aggressive cross-court winner to fend it off.
However, Osaka had a second chance to claim the break after Rogers sent a forehand long and another wayward shot gifted the Japanese star a 4-2 lead following a tense game.
Rogers, though, hit back immediately, smashing a ferocious winner on a second serve to reclaim the break, only for Osaka to break to love to restore her cushion with some powerful baseline hitting as she served out the set.
World number 93 Rogers – who was sidelined for 13 months in 2018 and 2019 due to a knee injury and was unranked as recently as last April – continued to play with aggression but she came unstuck in the third game, another stray forehand seeing Osaka move 2-1 ahead with the break.
Rogers tried to stay in the contest, but Osaka never looked back en route to the final four of a slam for the first time since winning the 2019 Australian Open.
STATISTICAL BREAKDOWN
Osaka [4] bt Rogers 6-3 6-4
WINNERS/UNFORCED ERRORS
Osaka – 24/8
Rogers – 23/27
ACES/DOUBLE FAULTS
Osaka – 7/1
Rogers – 3/2
BREAK POINTS WON
Osaka – 3/5
Rogers – 1/1
FIRST SERVE PERCENTAGE
Osaka – 48
Rogers – 61
PERCENTAGE OF POINTS WON ON FIRST/SECOND SERVE
Osaka – 83/69
Rogers – 66/33
TOTAL POINTS
Osaka – 67
Rogers – 45
Osaka reached the US Open semi-finals on Tuesday thanks to a 6-3 6-4 win over Shelby Rogers at Flushing Meadows in New York.
The Japanese star is back in the US Open semis for the first time since capturing her maiden major on Arthur Ashe Stadium in 2018.
It triggered a whirlwind period of success for Osaka, who went on to win the 2019 Australian Open only a couple of months later in Melbourne.
Osaka, however, had not progressed beyond the fourth round of a slam since reigning supreme at Melbourne Park last year, so the fourth seed is making the most of her run in the United States.
"I don't think a person can ever be truly comfortable," Osaka said during her news conference when asked if she is feeling as comfortable as ever at the US Open. "But for me, I'm aware that I worked very hard to be in this position. I'm aware that the opponents that I play from now on are going to be very tough.
"For me, I think the last two grand slams, everything happened so fast, I wasn't really in the moment. I'm just really happy to be in the semis, and hopefully I can keep going."
Osaka, who will meet Jennifer Brady for a spot in the women's final after hitting 24 winners and just eight unforced errors against Rogers, said: "I feel like if I'm positive, no matter how much time it will take, I'll eventually get to where I want to be.
"For me, I felt like I did well at the end of the year, I won Tokyo and Beijing. I don't know.
"I feel like there's a certain mindset that I have to get to in order to get to the goals that I want to. But it does feel like a long time since I've been to this part of a major.
"At the same time all the work that I put in makes it seem like... I don't know. It's just a journey, I would say."
Osaka is the favourite to beat 28th seed Brady behind closed doors amid the coronavirus pandemic but she added: "I don't feel like the favourite weirdly enough. Because there's no fans, I don't feel anything. I just feel like I'm going into a match with a really talented player, which is all of my previous matches anyway.
"For me, I remember watching her. I watched her match against [Yulia] Putintseva earlier today. I know she's a big threat."
World number 43 Rogers stunned the 2021 Wimbledon champion 6-2 1-6 7-6 (7-5) in a seesawing contest that lasted two hours and eight minutes.
Barty had a double-break lead in the third set and served for the match, before Rogers stormed back to win the next four games and triumph in a tie-break in front of a raucous Arthur Ashe Stadium crowd who cheered home the American.
It was the fourth time in the tournament that Barty had been broken serving for the match.
"No, I felt comfortable on the court," Barty told reporters when asked if there was an element of nerves. "I think that tension is natural. But I felt fine.
"I just didn't quite have enough physically or mentally in the tank but that's okay.
"We've had a great year so far. We're looking forward to celebrating the good stuff that we've done, learning from the hurt, learning from the experiences, and moving on."
Barty's third round exit adds to her ordinary record at Flushing Meadows, having never progressed further than the fourth round.
The Australian, who was absent from the US Open in 2020, was beaten by China's Wang Qiang in the 2019 fourth round as second seed, and went down to Karolina Pliskova at the same stage in 2018.
Barty would not be drawn on her record at Flushing Meadows, instead preferring to focus on her strong year, having been on the road for the past six months.
"The last six months have been a roller coaster," she said. "I think back to the very first match that I played on this trip. I was 5-2 down in the third set in the first round of Miami. Tennis has a funny way of evening things out, doesn't it?
"You can't win every single tennis match that you play. I'm proud of myself and my team for all the efforts we've put in in the last six months. It's been pretty incredible. I don't think we could have asked for much more honestly. I wouldn't change a thing.
"With all of the tough moments that we have had, it's created some of the most enjoyable experiences. I've learnt so much about myself, about them, the way that we work together. It's been truly an incredible six months."
Rogers becomes the first American woman to defeat the world number one in the first week of a major tournament since 1994, when Steffi Graf was shocked by Lori McNeil.
"I'm not sure I can," Rogers said on-court when asked how to describe the comeback from 5-2 down. "I tried to fight for every point. I didn’t want to leave, I said 'make balls, try to stay in this match'."
Rogers will face impressive British qualifier Emma Raducanu in the fourth round, while Barty confirmed she will now take a break but play at next month's Indian Wells.
Diyas, ranked 89th in the world, had lost her only previous match against seven-time major winner Williams, but saw off the American 6-2 7-6 (12-10).
"I'm very happy with the win, it was very tough," Diyas said after her victory. "Venus, I looked up to her when I was little, she's such a legend. So for me, it's a really special win."
Elsewhere, Shelby Rogers overcame fellow American Madison Brengle 6-3 6-3 to set up a second-round clash with fifth seed Elina Svitolina.
"I'm really happy to get through that one, she's a really tricky player," Rogers said. "It's actually my first win at this site. The last time I was here, I was spectating, as an injured person! So I'm very happy to be here."
There were also wins for Magda Linette, Sorana Cirstea, Barbora Krejcikova and Kaia Kanepi, while Ajla Tomljanovic beat Anastasia Potapova to seal a clash against second seed Naomi Osaka in the next round.
