Incorrectness for a minority of inputs can also be tolerated if it allows for a vastly more efficient and simple implementation, provided that the environment o

Incorrectness for a minority of inputs can also be tolerated if it allows for a vastly more efficient and simple implementation, provided that the environment or driven machinery has failsafe mechanisms and wouldn't be able to cut an arm or a leg in case of an error. For example, think about a game that runs quickly and is playable but crashes occasionally, versus one that lags all the time but never crashes.