Average Error: 0.0 → 0.0
Time: 916.0ms
Precision: 64
\[x + \frac{y - x}{2}\]
↓
\[x + \frac{y - x}{2}\]
x + \frac{y - x}{2}
↓
x + \frac{y - x}{2}
double f(double x, double y) {
        double r25554 = x;
        double r25555 = y;
        double r25556 = r25555 - r25554;
        double r25557 = 2.0;
        double r25558 = r25556 / r25557;
        double r25559 = r25554 + r25558;
        return r25559;
}
↓
double f(double x, double y) {
        double r25560 = x;
        double r25561 = y;
        double r25562 = r25561 - r25560;
        double r25563 = 2.0;
        double r25564 = r25562 / r25563;
        double r25565 = r25560 + r25564;
        return r25565;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0
Herbie0.0
\[0.5 \cdot \left(x + y\right)\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019315 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:bisect from intervals-0.7.1, A"
  :precision binary64

  :herbie-target
  (* 0.5 (+ x y))

  (+ x (/ (- y x) 2)))