Algorithms are one of the fundamental building blocks of computing. But current evidence about how fast algorithms improve is anecdotal, using small numbers of case studies to extrapolate. In this work, we gather data from 57 textbooks and more than 1,137 research papers to present the first systematic view of algorithm progress ever assembled. There is enormous variation. Around half of all algorithm families experience little or no improvement. At the other extreme, 13% experience transformative improvements, radically changing how and where they can be used. Overall, we find that, for moderate-sized problems, 30% to 45% of algorithmic families had improvements comparable or greater than those that users experienced from Moore’s Law and other hardware advances