Average Error: 0.0 → 0.0
Time: 994.0ms
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) (((double) (x - y)) / 2.0)) * z))));
}
↓
double code(double y, double x, double z) {
	return ((double) (y + ((double) (((double) (((double) (x - y)) / 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 2020153 
(FPCore (y x z)
  :name "(+ y (* (/ (- x y) 2) z))"
  :precision binary64
  (+ y (* (/ (- x y) 2.0) z)))