Perfect use of the COCP lands your odd of getting pregnant at 0.3% in a year. However typical use lands you at about 8% (condom is 10-18% of typical use) risk,

Perfect use of the COCP lands your odd of getting pregnant at 0.3% in a year. However typical use lands you at about 8% (condom is 10-18% of typical use) risk, meaning you're doing good if you get a decade without getting pregnant (on average). An indefinite lifespan will change the world ridiculously, however you're completely ignoring human nature. Those who take risks tend to be the ones who reproduce the most, and assuming fertility remains sustainable throughout life, those risk-averse will be quickly out bred. However, even considering the considered longevity of frozen sperm and embryos (women can still carry a child post-menopausal through egg donation - incidentally same odds as a younger woman). You're considering risk aversion as the winner, when in reality it will be those who procreate frequently. If a couple produces 2 kids roughly every 20 years, that's 100 children they will produce meaning the risk averse will have to last 100,000 years just to match the genes of those who reproduce if their offspring never reproduce. Assuming a predisposition to reproducing at 20 (I've known all too many people with 4-generations of teenage mothers in their family, so it's certainly not an absurd prospect) and each two children produce two children in 20 years, you'd hit 1 peta-offspring by the 1000 year mark. Your risk-averse would be marginally existent, similar to a dust mite next to an elephant. Their effect on society would be negligible to none existent. Compound interest has got nothing on exponential birthrates vs death rates.