Average Error: 0.1 → 0.1
Time: 12.4s
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 r624907 = x;
        double r624908 = y;
        double r624909 = r624907 - r624908;
        double r624910 = 2.0;
        double r624911 = r624909 / r624910;
        double r624912 = r624907 + r624911;
        return r624912;
}
↓
double f(double x, double y) {
        double r624913 = x;
        double r624914 = y;
        double r624915 = r624913 - r624914;
        double r624916 = 2.0;
        double r624917 = r624915 / r624916;
        double r624918 = r624913 + r624917;
        return r624918;
}

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 2020045 +o rules:numerics
(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)))