93. Generate Fibonacci Number with recursion

In 86. Generate Fibonacci Number you are asked to create a fib(n).

This could be simply done by a recursion, but it costs so much time that your browser freezes, don't try it with large numbers.

const fib = (n) => {
  if (n === 0) return 0
  if (n === 1) return 1
  return fib(n - 1) + fib(n - 2)
}

fib(10) // 55
fib(1000) // timeout

Can you improve above implementation to make it work for fib(1000) ? recursion should still be used.