solving problem in non-deterministic way comparing to computer. It is known that in many cases, solving problem in non-deterministic way is far more efficient. Typically, in say problems in NP. Human is good at generating a potential solution, and verifying it. In NP world, verifying a solution takes polynomial time. So if the solution is correct, we found the solution. However, if the potential solution is incorrect, then it doesn't tell us anything except that this is not the solution. It doesn't tell if the problem has no solution, or just this one is wrong.
In many other case, when non-deterministic and deterministic algorithm is equally power, computer is significantly faster.