Average Error: 0.1 → 0.1
Time: 8.1s
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 r669914 = x;
        double r669915 = y;
        double r669916 = r669914 - r669915;
        double r669917 = 2.0;
        double r669918 = r669916 / r669917;
        double r669919 = r669914 + r669918;
        return r669919;
}
↓
double f(double x, double y) {
        double r669920 = x;
        double r669921 = y;
        double r669922 = r669920 - r669921;
        double r669923 = 2.0;
        double r669924 = r669922 / r669923;
        double r669925 = r669920 + r669924;
        return r669925;
}

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 2020036 
(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)))