Schwartzman did the unthinkable by claiming it 6-4, as the 10-time French champion dropped a set at Roland Garros for the first time since 2015. There were no such fireworks this time, though, with Halep sealing a 6-7 (2), 6-3, 6-2 victory. The victor earns a berth in the final at Roland Garros - plus the No 1 ranking that now belongs to Halep.
Halep's win knocked Caroline Wozniacki out of the race to be number one in next week's rankings, and set up a winner-takes-all match against Spain's Muguruza in Thursday's semi-final.
Garbine Muguruza and Simona Halep meet in the semifinals of the 2018 tennis French Open. "So I think that's why I won today", Halep said. It would be very unusual, I think, if I didn't write anything about her.
"When you play and you win against an old-time player with a lot of experience, it gives you a lot of trust", said Muguruza, who at 24 is seven years Sharapova's junior.
Williams withdrew shortly before the match with a pectoral muscle injury, a moment Sharapova said she found briefly startling but not destabilizing. I didn't manage to find the rhythm, to be focused on my match. But to have had the victories that I have had, to have the results that I have, obviously moving a step in the right direction. Halep is 3-2 in career grand slam semifinal matches.
"I don't want to erase it completely - there are a lot of things that I need to look at and face and work towards after this match", Sharapova added. Only a loss to Dominika Cibulkova in the 2009 quarterfinals here, in which she won only two games, was worse.
India clocks world's fastest GDP growth in Q4
It also predicted a deceleration in China's growth rate, estimating a 6.6 per cent growth in 2018, down from 6.9 per cent in 2017. Possibly, the biggest risk could be rising crude oil prices, which this month hit $80 a barrel, their highest since 2014.
Mexico imposes tariffs on $3 billion worth of US exports
President Donald Trump accused Canada of burning down the White House during the War of 1812, according to a new report . What administration officials have insisted is only a "trade dispute" appears closer to becoming a trade war.