Phoronix posted a review on the AMD Radeon HD 5750/5770 running under Linux

In late September AMD had introduced the Radeon HD 5850 and Radeon HD 5870 graphics cards as the successors to the Radeon HD 4850 and Radeon HD 4870, respectively. These graphics cards, which are part of the Evergreen GPU family, have been performing quite nicely according to reports, but we have yet to test either of these Cypress graphics cards under Linux. Today though AMD is introducing the first midrange graphics cards in the Evergreen family. Under the Juniper codename, the Radeon HD 5750 and HD 5770 are being launched with both graphics cards being quite similar except for the ATI Radeon HD 5770 shipping with slightly higher core and memory clocks along with a different heatsink. In this review we have the first Linux-based benchmarks of these two new graphics cards, which are also the first publicized Linux benchmarks from any AMD Evergreen graphics processor.

AMD Radeon HD 5750/5770 Linux Review