Gauff was popular as ever with her home crowd as she sent 10 aces over on Arthur Ashe Stadium, showing her determination to put a string of frustrating performances behind her in New York.

Gauff suffered early exits at tune-up tournaments in Cincinnati and Toronto and there were early signs of trouble as she had five double faults in the first set.

She had to fend off three break points to hold her serve in the second game but the world No 3 found her footing from there, breaking her opponent’s serve in the third and seventh games.

Gracheva was never able to match Gauff’s firepower, with 25 unforced errors and just five winners, as the American ploughed through the second set in 27 minutes.

Gauff exclaimed with frustration as she hit the ball out of bounds to give her opponent a break point chance in the final game, but got back on track with a pair of aces before her opponent handed her the match with an error on the final point.