In the early 20th century, Haldane developed the earliest practical decompression algorithm, based on calculating and limiting tissue gas supersaturation. This traditional approach remains one of the most common for calculating decompression schedules. In the mid-20th century, researchers began developing models of tissue bubble formation, and the related decompression algorithms tend to skew decompression time to deeper stops than traditional algorithms. In the late 20th century, technical divers embraced "deep stops" decompression schedules, initially in conjunction with increased overall decompression time. However, a theoretical promise of bubble decompression models is that a deeps stops schedule has less risk of decompression sickness than a traditional shallow stops schedule of the same duration. This talk will examine the scientific evidence for or against this idea.