It's hard to compete with 20 billion years of evolutionary selection, but the current medical management of the birth of the fetus and the placenta attempts to do just that, albeit rather unsuccessfully.   For eons, all animals including humans passed on genes and habits that ensured delivering a live healthy newborn without bleeding excessively or dying of postpartum hemorrhage at birth.  Among mammals, bleeding to death would not result in successful reproduction, until recently, because a live mother was required to nurse the newborn. 

Bleeding heavily makes a mother more prone to dying of infection.   Bleeding would attract predators near the newborn. No animal or mammal, other than humans, bleeds more than a spoonful postpartum. (1)  Only humans bleed and only humans bleed excessively after birth.   It is not clear when this started, but the first documentation of excessive postpartum bleeding, not death from bleeding, is from 1400 stating, "Women sometimes bleed too much after childbirth and this makes them very weak."(2)