Average Error: 0.1 → 0.1
Time: 18.1s
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 r420927 = x;
        double r420928 = y;
        double r420929 = r420927 - r420928;
        double r420930 = 2.0;
        double r420931 = r420929 / r420930;
        double r420932 = r420927 + r420931;
        return r420932;
}
↓
double f(double x, double y) {
        double r420933 = x;
        double r420934 = y;
        double r420935 = r420933 - r420934;
        double r420936 = 2.0;
        double r420937 = r420935 / r420936;
        double r420938 = r420933 + r420937;
        return r420938;
}

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 2019325 +o rules:numerics
(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)))