Average Error: 0.1 → 0.1
Time: 5.7s
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 r594917 = x;
        double r594918 = y;
        double r594919 = r594917 - r594918;
        double r594920 = 2.0;
        double r594921 = r594919 / r594920;
        double r594922 = r594917 + r594921;
        return r594922;
}
↓
double f(double x, double y) {
        double r594923 = x;
        double r594924 = y;
        double r594925 = r594923 - r594924;
        double r594926 = 2.0;
        double r594927 = r594925 / r594926;
        double r594928 = r594923 + r594927;
        return r594928;
}

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 +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)))