After dropping the first set 3-6, the former No. 1 world champion and triple grand slam champion called for an early end to the game when he ran 2-0 in the second set. Her confidence increased with every game.
Second seed Simona Halep will take on Aryna Sabalenka after the Belarussian booked her spot 7-6 (7/4), 6-2 over USA qualifier Bernarda Pera.
"I didn't want to lose focus", said the world No. 24, who has won three titles over the past two seasons.
The top seed dominated Czech tournament No 8 Marketa Vondrousova 6-3, 6-3, to thrill home fans at Memorial Drive in the inaugural edition of the event.
"The beauty is, I have done enough to get myself in the position where I get another opportunity to try and rectify those things".
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The film has been produced by award-winning wildlife film-makers Silverback Films and global environmental organisation WWF. " Our planet is heading for disaster", Sir David said.
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Cameron used that information to illegally trade on the stock, avoiding a loss of approximately $570,900. District Court, Southern District of New York (Manhattan).
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Benfica now lead the Portuguese league, having dropped just three points in their opening 16 matches. I think the players quite like him to be fair, I don't think that's the issue.
Fourth seed Belinda Bencic came through a tight tussle with Julia Goerges to emerge a 7-6 (8-6) 7-6 (7-4) victor, with her last-eight opponent Danielle Collins having significantly less difficulty against fellow American Sofia Kenin - the unseeded 26-year-old winning 6-3 6-1.
"It's important that I have mental confidence", he said.
Russian third seed Andrey Rublev won his sixth match of the season, with last weekend's Doha champion defeating Britain's Dan Evans 6-4, 3-6, 6-3.
"He's one of the hottest players right now", the Canadian said.
"It's an awesome feeling to be top 20 for the first time, but there are still so many things that I can improve", he said.
In men's play, South African Lloyd Harris beat Spanish fourth seed Pablo Carreno Busta 6-3, 6-3 to book a semi-final berth.