This article investigates the rate at different periods of the evolutionary process on Earth. The investigation is based on the author's previous investigations of the growth of evolutionary complexity and on other recent investigations of the rates of scientific evolution and information technology. The measures of the evolutionary rates are given in terms of their doubling times, being several million years for animal evolution, and ranging from a million years to some thousand years for human cultural evolution. After the Galilean (...) scientific revolution the doubling time shows a dramatic drop to about only twenty years and is found to be still shorter for modern information technology. The result shows that the totality of the evolutionary processes on Earth follows a superexponentially increasing rate, characterized by steadily decreasing doubling times. (shrink)