Average Error: 0.1 → 0.1
Time: 5.7s
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 r646894 = x;
        double r646895 = y;
        double r646896 = r646894 - r646895;
        double r646897 = 2.0;
        double r646898 = r646896 / r646897;
        double r646899 = r646894 + r646898;
        return r646899;
}
↓
double f(double x, double y) {
        double r646900 = x;
        double r646901 = y;
        double r646902 = r646900 - r646901;
        double r646903 = 2.0;
        double r646904 = r646902 / r646903;
        double r646905 = r646900 + r646904;
        return r646905;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
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 2020056 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"
  :precision binary64

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

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