Average Error: 0.1 → 0.1
Time: 4.3s
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 r661790 = x;
        double r661791 = y;
        double r661792 = r661790 - r661791;
        double r661793 = 2.0;
        double r661794 = r661792 / r661793;
        double r661795 = r661790 + r661794;
        return r661795;
}
↓
double f(double x, double y) {
        double r661796 = x;
        double r661797 = y;
        double r661798 = r661796 - r661797;
        double r661799 = 2.0;
        double r661800 = r661798 / r661799;
        double r661801 = r661796 + r661800;
        return r661801;
}

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 2020047 +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)))