Modern biology usually rejects the concept of recapitulation of phylogeny in ontogeny as describing a non-existent phenomenon and regards it as a "case closed". The minority of biologists (mainly paleontologists and older evolutionists) that recognize the phenomenon in their empirical observations, cannot provide a viable mechanism for it, except for referring to Darwin's and Schmalhasen's intuitions, lacking rigorous quantitative testability. Now a possibility arises to check this hypothesis and this is the theme of this paper. The paper presents an abstract model of complex system adaptive evolution and results of its computer simulations. The system is described as direct network similar to Kauffman's Boolean network. The model indicates that the "recapitulation" is a statistical phenomenon expected as a result of long adaptive evolution of a complex system and is a very good quantitative first approximation of evolutionary phenomena. The simulation successfully replicated the similarities of functional and historical sequence and other main regularities: Naef's "terminal modification and conservation of early stages" and Weismann's "terminal addition" as terminal predominance of addition over removal. These tendencies are observed upon reaching certain complexity threshold. Thus, now it will be a problem requiring explanation if we do not observe statistical recapitulation in a more complex ontogeny.