Average Error: 0.0 → 0.0
Time: 780.0ms
Precision: binary64
\[\left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}\]
↓
\[\left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}\]
\left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}
↓
\left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x / 2.0)) + ((double) (y / 2.0)))) + ((double) (z / 2.0))));
}
↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x / 2.0)) + ((double) (y / 2.0)))) + ((double) (z / 2.0))));
}

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

Derivation

  1. Initial program 0.0

    \[\left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2} + \frac{y}{2}\right) + \frac{z}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y z)
  :name "(+ (+ (/ x 2) (/ y 2)) (/ z 2))"
  :precision binary64
  (+ (+ (/ x 2.0) (/ y 2.0)) (/ z 2.0)))