Average Error: 0.0 → 0.0
Time: 470.0ms
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 r493560 = x;
        double r493561 = y;
        double r493562 = r493561 - r493560;
        double r493563 = 2.0;
        double r493564 = r493562 / r493563;
        double r493565 = r493560 + r493564;
        return r493565;
}

double f(double x, double y) {
        double r493566 = x;
        double r493567 = y;
        double r493568 = r493567 - r493566;
        double r493569 = 2.0;
        double r493570 = r493568 / r493569;
        double r493571 = r493566 + r493570;
        return r493571;
}

Error

Bits error versus x

Bits error versus y

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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 2020046 
(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)))