Gutsy Lucic-Baroni rolls on

 A resurgent Rafael Nadal beat Milos Raonic to reach his first Grand Slam semifinal in three years at the Australian Open on Wednesday, as Serena Williams eyed a final with her sister Venus.

Nadal hasn't contested a major semifinal since he won the last of his 14 Grand Slam titles at the 2014 French Open, but he never looked like losing to Raonic, the Canadian world number three.

Spain's Nadal yelled in delight as he completed a 6-4, 7-6 (7), 6-4 win which set up a semifinal with Grigor Dimitrov — with old rival Roger Federer potentially waiting in the final.

Nadal has a 7-1 head-to-head record with Dimitrov, the Bulgarian 15th seed dubbed 'Baby Fed' for his Federer-like playing style who earlier ousted Belgium's David Goffin 6-3, 6-2, 6-4.

Federer will play fellow Swiss Stanislas Wawrinka in Thursday's semifinal with the very real prospect of a ninth Grand Slam final against Nadal, and the first since the 2011 French Open.

The women's competition also has a retro feel after Serena Williams beat Britain's Johanna Konta 6-2, 6-3 to set up a semifinal with an emotional Mirjana Lucic-Baroni -- 19 years after they last met as fellow teenage prodigies.

Williams, 35, has come a long way since her last meeting with Lucic-Baroni in the second round at Wimbledon in 1998, when they were both 16 and without a trophy to their names.

While Williams is now eyeing an Open-era-record 23rd Grand Slam title and a return to world number one, the Croatian is into her first major semifinal since 1999 after her career was derailed by personal trauma.

Unseeded Lucic-Baroni wept freely and gasped, "This has truly made my life," after she upset Czech world number five Karolina Pliskova 6-4, 3-6, 6-4.

Williams, whose sister Venus plays Coco Vandeweghe in Thursday's other women's semifinal, said she could take inspiration from Lucic-Baroni.

"I'm really happy for Mirjana. I was there when she first started. To see her be able to never give up actually is super-inspiring to me. It's a wonderful story," she said.

Williams added: "We both have gone through a lot. We both have survived, and here we are, which I think is a really remarkable story."

There was little disappointment from Konta despite her steamrollering by Williams, who was able to raise her game to counter her opponent's court speed and aggressive striking.

Despite Williams having only 45 percent success with her first serves, Konta could only break once, in the second set, and the American quickly hit back with two breaks of her own.

Also on the centre court, Dimitrov soared into his second major semifinal with his straight-sets win over Goffin, his 10th victory in a row after his trophy run this month in Brisbane. He won 6-3, 6-2, 6-4.

Results (Prefix denote seedings): Quarterfinals: Men: 9-Rafael Nadal (Esp) bt 3-Milos Raonic (Can) 6-4, 7-6 (7), 6-4; 15-Grigor Dimitrov (Bul) bt 11-David Goffin (Bel) 6-3, 6-2, 6-4.

Women: 2-Serena Williams (US) bt 9-Johanna Konta (Gbr) 6-2, 6-3; Mirjana Lucic-Baroni (Cro) bt 5-Karolina Pliskova (Cze) 6-4, 3-6, 6-4.