Average Error: 0.1 → 0.1
Time: 26.5s
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 r517828 = x;
        double r517829 = y;
        double r517830 = r517828 - r517829;
        double r517831 = 2.0;
        double r517832 = r517830 / r517831;
        double r517833 = r517828 + r517832;
        return r517833;
}
↓
double f(double x, double y) {
        double r517834 = x;
        double r517835 = y;
        double r517836 = r517834 - r517835;
        double r517837 = 2.0;
        double r517838 = r517836 / r517837;
        double r517839 = r517834 + r517838;
        return r517839;
}

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 2019208 
(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)))