Right, this live text, like Madison Keys, is heading out home after a creditable performance.

Just a reminder that the schedule is out for tomorrow.

Andy Murray v Kevin Anderson at approximate 19:30 BST and Jo Konta has got a prime-time slot, taking on BBC Sport columnist and two-time Wimbledon champion Petra Kvitova in the first match of the night session. 

That gets going at midnight tomorrow.

Bye for now.

Image source, Getty

The match stats actually tell quite an interesting story.

Madison Keys hit more winners, 24 to Serena's 18, but really suffered on second serve, losing 18 of her 28 points off that shot.

Image source, Getty Images

Serena Williams, speaking on court: "It was really important to get a good start. Madison is so powerful and knows how to win big matches. My only chance was to start fast.

"I stayed in there and did the best I could. I relaxed, got a few lucky shots and got the break.

"My serve was much better today. I had to, because Madison has a great serve.

"I don't feel any pressure. Winning four in a row at Wimbledon was amazing. Now I have a chance here to make it five and the New York crowd is pushing me on. It makes me want to to perform and do better.

"The only difference to playing Venus now is that we're a lot older. She's playing great. I have to really be ready for her. At least one of us will be in the semis."

Serena Williams tells the on-court interviewer that she doesn't feel any pressure over the calendar Grand Slam, having bagged the Serena Slam (holding all four Grand Slam title, but not having actually won them all in the same year) at Wimbledon.

Full quotes on the way as Serena blasts a trio of signed balls to the cheap seats.

Jill Craybas
Former world number 39 on BBC Radio 5 live sports extra

"What an impressive match from Serena. She served really well."

Serena Williams is still crushing the ball and, if anything, is accelerating for home.

She brings up 40-0 in a twinkle and, although Madison Keys lobs a screwdriver in her gears momentarily with a superb forehand winner, Williams closes out with an ace on the next point.

After purring for most of the match, Madison Keys' game suddenly comes apart like a clown car.

The American duffs long with a squeal of dismay to hand Serena Williams a break point at deuce and, at the sixth time of asking in this set, the world number one converts.

A long, long way back now for Keys.

News from the locker room and Eugenie Bouchard has had to pull out her singles match against Roberta Vinci later tonight as she continues to struggle with concussion after a locker-room slip.

Serena Williams whips up 40-0 on the scoreboard with the speed and effeciency of Mary Berry on meringue duty.

Madison Keys shows a little mongrel as she produce a superb backhand punch down the line that leaves Williams leaning on her racquet like a walking stick.

But she can't make any more of 40-30. Serena holds. 

Jill Craybas
Former world number 39 on BBC Radio 5 live sports extra

"Madison is keeping Serena guessing, got her thinking more on the return, which is exactly what she needed."

After seeing off break points in her first two service games of the second set, Madison Keys breezes through to love.

A little bit more muscle and nous behind that tee-off? Williams regathering her forces for a tilt at the Keys serve at a later point?

We shall see.

Serena Williams has been filling the gossip columns as well as the sport pages of the American media as she has apparently been getting to know Canadian music-maker Drake a little better., external

No changes in the relationship status out on court in Arthur Ashe. It is still Williams in charge and Keys game, but inferior.

Serena batters her way to a hold for 15.

Jill Craybas
Former world number 39 on BBC Radio 5 live sports extra

"Lindsay Davenport gets so involved in these matches, we've seen a lot of emotion from her during Madison's career. It's way more stressful being a coach."

Image source, EPA

Serena Williams wants this done with Venus-style speed.

She flattens a mighty cross-court forehand to bring up 15-40 and two break points.

Keys under the magnifying glass like an ant at the mercy of a sadistic schoolboy.

First serve missed. Oh, a second serve ace! Keys brilliantly double-bluffing Williams as she goes to the world number one's favoured forehand wing and catches her wrong-footed.

Williams duffs a backhand long on the second.

Keys saves a third break point from deuce and then sees Williams twang the wire on a fourth and the ball loop agonisingly into the air...and just wide. 

Keys' coach Lindsay Davenport is being put through the mincer by this game. Her girl has done the business though, finally sneaking home unscathed.

Serena Williams chucks down her fourth and fifth aces of the match as she continued the sterling silver standard of service that she delivers at her best.

Keys with one point from the game, but that is only worth a little encouragement to her rather than scoreboard currency.

Jill Craybas
Former world number 39 on BBC Radio 5 live sports extra

"Great hold from Madison. You always want to win the first game of a set if you have lost the previous one, just to get some momentum back."

Serena Williams can coast her way into trouble at times, letting her opponents back into matches and invariably then crushing their rebellion just before it gathers any decisive momentum.

That does not look to be the case this time.

Serena climbs into a forehand return at deuce to bring up break point. Keys' serve under fire immediately at the start of the second set and she saves with a bold forehand right onto the outside half of the line.

That was gutsy. More thumping forehands, deep and accurate, get Keys out of the situation. That was big for the underdog and full credit for staying true to her strengths rather than playing safe when she teetered on the precipice.

Jill Craybas
Former world number 39 on BBC Radio 5 live sports extra

"From the very first point, Serena has been the most focused I have seen her this year. She knows what Madison is capable of, so she came out determined to make a statement, which she has."