Average Error: 27.9 → 0
Time: 718.0ms
Precision: binary64
\[\left({2}^{52} + x\right) - x\]
↓
\[{2}^{52}\]
\left({2}^{52} + x\right) - x
↓
{2}^{52}
double code(double x) {
	return ((double) (((double) (((double) pow(2.0, 52.0)) + x)) - x));
}
↓
double code(double x) {
	return ((double) pow(2.0, 52.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.9

    \[\left({2}^{52} + x\right) - x\]

  2. Simplified0

    \[\leadsto \color{blue}{{2}^{52}}\]

  3. Final simplification0

    \[\leadsto {2}^{52}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (+ (pow 2 52) x) x)"
  :precision binary64
  (- (+ (pow 2.0 52.0) x) x))