Average Error: 0 → 0
Time: 2.0s
Precision: binary64
Cost: 64
\[\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)\]
↓
\[0\]
\left(\left(x + y\right) + z\right) - \left(x + \left(y + z\right)\right)
↓
0
(FPCore (x y z) :precision binary64 (- (+ (+ x y) z) (+ x (+ y z))))
↓
(FPCore (x y z) :precision binary64 0.0)
double code(double x, double y, double z) {
	return ((x + y) + z) - (x + (y + z));
}
↓
double code(double x, double y, double z) {
	return 0.0;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Error62.0
Cost64
\[1\]

Error

Derivation

  1. Initial program 0

    \[0\]

  2. Final simplification0

    \[\leadsto 0\]

Reproduce

herbie shell --seed 2021044 
(FPCore (x y z)
  :name "Commute and associate"
  :precision binary64
  (- (+ (+ x y) z) (+ x (+ y z))))