This is my pattern for a water bottle cozy based on the arcade stitch. It is worked in the round and the pattern is written for a 40oz Wide Mouth Hydroflask but includes instructions to modify it for any size water bottle.

Uses size USF/3.75mm hook
About 100 yards of Aran weight Red Heart classic acrylic yarn
Gauge of 16 stitches and 20 rows to 4x4” in single crochet
Written with US crochet terminology