Average Error: 0.1 → 0.1
Time: 20.9s
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 r33412025 = x;
        double r33412026 = y;
        double r33412027 = r33412025 - r33412026;
        double r33412028 = 2.0;
        double r33412029 = r33412027 / r33412028;
        double r33412030 = r33412025 + r33412029;
        return r33412030;
}

double f(double x, double y) {
        double r33412031 = x;
        double r33412032 = y;
        double r33412033 = r33412031 - r33412032;
        double r33412034 = 2.0;
        double r33412035 = r33412033 / r33412034;
        double r33412036 = r33412031 + r33412035;
        return r33412036;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

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 2019179 
(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)))