Shvedova continued her path of destruction through the draw, holding all nine of her service games and converting on all three of her break points to swat aside No.6 seed Alexandra Cadantu, 63 63.
"I'm very happy," Shvedova said. "Last year I had a long break with an injury, the longest break of my life without playing tennis actually, and it hasn't been easy to come back. So I'm happy I could put myself together and bring my game back. They've all been tough matches this week - it hasn't been easy at all - but I'm improving with each game and hopefully going forward I can keep playing like this."
Though she has reached a lot of quarterfinals in this span - including two French Open quarterfinals, in 2010 and 2012 - this semifinal is actually Shvedova's first WTA semifinal in almost four years.
She didn't even remember where her last one was.
"I just read it not so long ago, but I don't remember," she said. "I have a bad memory!"
Awaiting her in this semifinal will be No.2 seed Garbiñe Muguruza, who regrouped after letting a 62 53 lead slip and edged Belgian qualifier Alison Van Uytvanck in two hours and eight minutes, 62 67(2) 63.
"She's on the rise and she had some very good results in Australia," Shvedova said of Muguruza. "She's playing well, but I'm feeling good too. My game is good. I'm looking forward to tomorrow.
"I hope we can show a good and interesting match to the fans, and the best one will win."
Muguruza and Shvedova will be playing against each other for the first time.
The other semifinal will pit No.1 seed Carla Suárez Navarro against No.3 seed Klara Zakopalova, who both won their quarterfinals by retirement. Zakopalova beat Alexandra Dulgheru by a 63 52 scoreline when the Romanian qualifier had to stop because of a back injury, and Suárez Navarro beat Monica Niculescu by a 46 60 41 scoreline when the No.5-seeded defending champion had an ankle injury.
Suárez Navarro leads Zakopalova in their head-to-head, 3-2, and has won their last three meetings.