Looks like creeping phlox, but apparently is Trailing Rosemary? One pinner said: Trailing Rosemary produces beautiful blue foliage. It requires little water, and has a moderate growth rate. It has no allergens, but yet is very fragrant.
Creeping Phlox ‘Amazing Grace’ welcomes spring with a flush of white blooms bearing a vibrant magenta eye. Petals may take on a flush of pink to complement the rosy highlights. Needle-like, evergreen foliage forms a dense mat making a lush groundcover perfect for cascading over walls or across slopes. Flowers attract bees and butterflies to the garden. (Phlox subulata)