Average Error: 0.1 → 0.1
Time: 20.2s
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 r24270863 = x;
        double r24270864 = y;
        double r24270865 = r24270863 - r24270864;
        double r24270866 = 2.0;
        double r24270867 = r24270865 / r24270866;
        double r24270868 = r24270863 + r24270867;
        return r24270868;
}
↓
double f(double x, double y) {
        double r24270869 = x;
        double r24270870 = y;
        double r24270871 = r24270869 - r24270870;
        double r24270872 = 2.0;
        double r24270873 = r24270871 / r24270872;
        double r24270874 = r24270869 + r24270873;
        return r24270874;
}

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 2019174 +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)))