https://www.energy.gov/ceser/spr-faqs
It looks like drawdown's been going on at 1 million barrels per day since March, in the name of bringing down gasoline prices. Curiously enough, another approach to doing that - limiting exports - got no traction or interest whatsoever. Here it's important to note that the 1970s-era ban on crude oil exports was lifted cooperatively by Democrats and Republicans in 2015, and the USA is now a net exporter (apparently most imports are crude oil, and most exports are refined products?).
For an open-access report on this situation (Sep 7 2022):
https://www.forbes.com/sites/rrapier/2022/09/07/the-strategi...
Meanwhile LNG exports to Europe seem to be running at full tilt, and oil major profits have never been higher. Seems like the war is delivering to Wall Street as hoped for (although Russian oil money also seems to be flowing in full-tilt, so?).