Average Error: 0.1 → 0.1
Time: 7.4s
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 r640969 = x;
        double r640970 = y;
        double r640971 = r640969 - r640970;
        double r640972 = 2.0;
        double r640973 = r640971 / r640972;
        double r640974 = r640969 + r640973;
        return r640974;
}
↓
double f(double x, double y) {
        double r640975 = x;
        double r640976 = y;
        double r640977 = r640975 - r640976;
        double r640978 = 2.0;
        double r640979 = r640977 / r640978;
        double r640980 = r640975 + r640979;
        return r640980;
}

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 2020034 
(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)))