Average Error: 0.0 → 0.0
Time: 936.0ms
Precision: binary64
\[y + \frac{x - y}{2 \cdot z}\]
↓
\[y + \frac{x - y}{2 \cdot z}\]
y + \frac{x - y}{2 \cdot z}
↓
y + \frac{x - y}{2 \cdot z}
double code(double y, double x, double z) {
	return ((double) (y + ((double) (((double) (x - y)) / ((double) (2.0 * z))))));
}
↓
double code(double y, double x, double z) {
	return ((double) (y + ((double) (((double) (x - y)) / ((double) (2.0 * z))))));
}

Error

Bits error versus y

Bits error versus x

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[y + \frac{x - y}{2 \cdot z}\]

  2. Final simplification0.0

    \[\leadsto y + \frac{x - y}{2 \cdot z}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y x z)
  :name "(+ y (/ (- x y) (* 2 z)))"
  :precision binary64
  (+ y (/ (- x y) (* 2.0 z))))