Average Error: 0.1 → 0.1
Time: 24.3s
Precision: 64
\[x + \frac{x - y}{2}\]
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
x + \frac{x - y}{2}
double f(double x, double y) {
        double r33042894 = x;
        double r33042895 = y;
        double r33042896 = r33042894 - r33042895;
        double r33042897 = 2.0;
        double r33042898 = r33042896 / r33042897;
        double r33042899 = r33042894 + r33042898;
        return r33042899;
}

double f(double x, double y) {
        double r33042900 = x;
        double r33042901 = y;
        double r33042902 = r33042900 - r33042901;
        double r33042903 = 2.0;
        double r33042904 = r33042902 / r33042903;
        double r33042905 = r33042900 + r33042904;
        return r33042905;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.1
Target0.1
Herbie0.1
\[1.5 \cdot x - 0.5 \cdot y\]

Derivation

  1. Initial program 0.1

    \[x + \frac{x - y}{2}\]
  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"

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

  (+ x (/ (- x y) 2.0)))