Average Error: 0.1 → 0.1
Time: 12.8s
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 r635877 = x;
        double r635878 = y;
        double r635879 = r635877 - r635878;
        double r635880 = 2.0;
        double r635881 = r635879 / r635880;
        double r635882 = r635877 + r635881;
        return r635882;
}
↓
double f(double x, double y) {
        double r635883 = x;
        double r635884 = y;
        double r635885 = r635883 - r635884;
        double r635886 = 2.0;
        double r635887 = r635885 / r635886;
        double r635888 = r635883 + r635887;
        return r635888;
}

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 
(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)))