Average Error: 0.1 → 0.1
Time: 4.5s
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 r649846 = x;
        double r649847 = y;
        double r649848 = r649846 - r649847;
        double r649849 = 2.0;
        double r649850 = r649848 / r649849;
        double r649851 = r649846 + r649850;
        return r649851;
}
↓
double f(double x, double y) {
        double r649852 = x;
        double r649853 = y;
        double r649854 = r649852 - r649853;
        double r649855 = 2.0;
        double r649856 = r649854 / r649855;
        double r649857 = r649852 + r649856;
        return r649857;
}

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 2020002 +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)))