Average Error: 0.1 → 0.1
Time: 6.2s
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 r672919 = x;
        double r672920 = y;
        double r672921 = r672919 - r672920;
        double r672922 = 2.0;
        double r672923 = r672921 / r672922;
        double r672924 = r672919 + r672923;
        return r672924;
}
↓
double f(double x, double y) {
        double r672925 = x;
        double r672926 = y;
        double r672927 = r672925 - r672926;
        double r672928 = 2.0;
        double r672929 = r672927 / r672928;
        double r672930 = r672925 + r672929;
        return r672930;
}

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 2020001 
(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)))