Average Error: 30.7 → 0
Time: 872.0ms
Precision: binary64
\[\left({2}^{52} + x\right) - {2}^{52}\]
↓
\[x\]
\left({2}^{52} + x\right) - {2}^{52}
↓
x
double code(double x) {
	return ((double) (((double) (((double) pow(2.0, 52.0)) + x)) - ((double) pow(2.0, 52.0))));
}
↓
double code(double x) {
	return x;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.7

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

  2. Simplified0

    \[\leadsto \color{blue}{x}\]

  3. Final simplification0

    \[\leadsto x\]

Reproduce

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