Automatically shift the chrome window to hide the addressbar when tiling to the top left/right, and optionally set "Always on Top" (off by default). Open the script's configuration to adjust the window to 50%/42%/33% screen width. You might need to increase the heights by 23px (and subtrack 23px from the y position) if you always have the bookmark bar shown.

Video: https://fat.gfycat.com/DefiantLonelyGalago.mp4