"Small differences in initial conditions, such as those due to errors in measurements or due to rounding errors in numerical computation, can yield widely diverging outcomes for such dynamical systems, rendering long-term prediction of their behavior impossible in general.[6] This can happen even though these systems are deterministic, meaning that their future behavior follows a unique evolution[7] and is fully determined by their initial conditions, with no random elements involved.[8] In other words, the deterministic nature of these systems does not make them predictable."
afaik the point with chaotic systems is that even if the system is deterministic and your measurement of the initial conditions is near-perfect, your predictions will diverge from the real thing pretty quickly, because any errors get magnified a lot
is not a solved problem for humans either. If it were, people would know when to invest and when to get out of the stock market, would know which startup will become a unicorn or not, would know which chemical reaction out of millions is best for solving a medical or industrial problem.