Biologist Ann Gauger, co-author of Science and Human Origins, argues in this video, and in her book, that the time necessary to fix the number of mutations necessary to evolve a human from a chimp-like predecessor is greater than the age of the universe.
In other words, even if it were possible to coordinate the needed mutations so that they bring about the desired effect, it would take billions of years for these mutations to occur in just the right sequence, at least if they were to occur by chance.
Gauger is not saying that man did not arise from an ape-like ancestor, but rather that if he did, it is astronomically improbable that his evolution was driven solely by physical mechanisms like chance mutations, genetic drift, and natural selection. In order to make such an evolution plausible there must be something else, something in addition to the physical processes, that can drive biological change toward a goal, something that has foresight and engineering genius. In other words, a mind.
Apart from a mind, or something like mind, behind the process there's very little reason to think that Darwinian evolution is anything more than a materialist fairy tale.
Gauger's book is a good read and very informative, especially her chapter in which she discusses all the changes that would need to take place to derive a human from an ancestral ape.