Postpublished at 11:19 Greenwich Mean Time 22 January 2019
*Tiafoe 3-6 3-5 Nadal
Another attempt at a big cross-court winner from Frances Tiafoe, but it's long!
Third set point for Nadal.
Rafael Nadal wins in straight sets 6-3 6-4 6-2 to reach semi-finals
Second seed plays Stefanos Tsitsipas next, who beat Roberto Bautista Agut in four sets
Petra Kvitova beat home favourite Ashleigh Barty 6-1 6-4 - plays Danielle Collins next
Amy Lofthouse
*Tiafoe 3-6 3-5 Nadal
Another attempt at a big cross-court winner from Frances Tiafoe, but it's long!
Third set point for Nadal.
*Tiafoe 3-6 3-5 Nadal
That's a crushing ace from Tiafoe.
Hello, deuce.
*Tiafoe 3-6 3-5 Nadal
Down the line goes Tiafoe with a winner!
30-40.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
This match is flying by so quickly.
*Tiafoe 3-6 3-5 Nadal
A return of serve from Nadal is so good that it surprised Tiafoe, who moves forward and tamely guides his shot into the net.
Tiafoe is too quick through some of these shots and he backhands a volley into the net to give Nadla two set points.
Simon Briggs
Daily Telegraph tennis correspondent on BBC Radio 5 live sports extra
This is similar to the first set in that Nadal has taken an early, rather easy, break and then held his own serve.
#bbctennis
Chris Beck: You get the feeling Tiafoe has to be at least 40-15 up to have any chance of a break. Giving away one break point just doesn't faze Nadal at all.
*Tiafoe 3-6 3-5 Nadal
Flat hitting from both men, and Rafa turns his back in disgust as his backhand slides over the baseline.
It's 30-30 and Nadal swings an almighty ace right through Tiafoe's swishing racquet. And again!
Game, Nadal. One more and he'll take a two-set lead.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
It's OK doing things fast, but players like Nadal aren't going away. You need to be able to sit in and show concentration.
Simon Briggs
Daily Telegraph tennis correspondent on BBC Radio 5 live sports extra
It's mind-boggling how quickly Tiafoe rattles through his service game. These millenials are so impatient!
Tiafoe 3-6 3-4 Nadal*
Lovely.
Two aces for Frances Tiafoe as he hurries his way through his service game.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
The crowd are willing for this to be a contest but Nadal has other ideas.
*Tiafoe 3-6 2-4 Nadal
Nadal drags a volley down into the net and looks furious with himself, but 15-15 comes up with a long Tiafoe service return.
Tiafoe goes for the corner of the court and Nadal, anticipating it, angles in a beauty of a winner, and that helps him towards a hold.
More than 9,000 miles in case you were wondering...
Tiafoe 3-6 2-3 Nadal*
Now yesterday, when Daniil Medvedev let some chances slip on Novak Djokovic's serve, he was broken straight away.
Frances Tiafoe, however, produces a glorious backhand winner to go 40-0 up, and a long return of serve from Nadal secures a love hold.
Gigi Salmon
Radio 5 live sports extra tennis commentator at Melbourne Park
Nadal's box are suddenly looking slightly more concerned than they were 10 minutes ago.
*Tiafoe 3-6 1-3 Nadal
Whoopsie. That's, er, a horrible hoick from Tiafoe down the line, and it's given Nadal the advantage.
And Nadal comes through as a Tiafoe backhand is flapped into the net.
Tiafoe 3-6 1-2 Nadal*
Frances Tiafoe gets a look at a Nadal second serve, but he can't make it out.
Advantage, Rafa - and that's a divine shot down the line from Tiafoe, surprising Nadal, who tries to rally and ends up working a backhand into the net.
On we go.
Tiafoe 3-6 1-2 Nadal*
A chance for Rafa Nadal to hold now, as Tiafoe, up on one knee, hits a forehand out.
Oh, but Nadal sends an easy backhand long to take us back to deuce!
Tiafoe 3-6 1-2 Nadal*
Deep return from Nadal - and Tiafoe's return goes long!
He challenges anyway but that's out, the ball lobbed over the baseline. Deuce.