What "Happened quickly" is reproducing molecules and single celled organisms. That suggests that only life on that level is common on other planets. The development of anything with a brain took the vast majority of Earth's history.
The time constraints for the evolution of complex or intelligent life are not clear based on Earth's story.
The Cambrian explosion, Cambrian radiation, Cambrian diversification, or the Biological Big Bang refers to an interval of time approximately 538.8 million years ago in the Cambrian Period when practically all major animal phyla started appearing in the fossil record. It lasted for about 13 – 25 million years and resulted in the divergence of most modern metazoan phyla.The event was accompanied by major diversification in other groups of organisms as well.[a]
Before early Cambrian diversification,https://en.m.wikipedia.org/wiki/Cambrian_explosion#cite_note-14 most organisms were relatively simple, composed of individual cells, or small multicellular organisms, occasionally organized into colonies. As the rate of diversification subsequently accelerated, the variety of life became much more complex, and began to resemble that of today. Almost all present-day animal phyla appeared during this period, including the earliest chordates.
I would like to know if the rapid emergence of complex life on Earth was only possible from a long evolutionary chain of simple precursor life, or if the right conditions just finally arrived. But it seems life can can transition from "individual cells, or small multicellular organisms, occasionally organized into colonies" to something like us in about 538 million years or less.