Average Error: 0.1 → 0.1
Time: 24.9s
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 r412879 = x;
        double r412880 = y;
        double r412881 = r412879 - r412880;
        double r412882 = 2.0;
        double r412883 = r412881 / r412882;
        double r412884 = r412879 + r412883;
        return r412884;
}
↓
double f(double x, double y) {
        double r412885 = x;
        double r412886 = y;
        double r412887 = r412885 - r412886;
        double r412888 = 2.0;
        double r412889 = r412887 / r412888;
        double r412890 = r412885 + r412889;
        return r412890;
}

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 2019199 +o rules:numerics
(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)))