Average Error: 0.1 → 0.1
Time: 17.7s
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 r455435 = x;
        double r455436 = y;
        double r455437 = r455435 - r455436;
        double r455438 = 2.0;
        double r455439 = r455437 / r455438;
        double r455440 = r455435 + r455439;
        return r455440;
}
↓
double f(double x, double y) {
        double r455441 = x;
        double r455442 = y;
        double r455443 = r455441 - r455442;
        double r455444 = 2.0;
        double r455445 = r455443 / r455444;
        double r455446 = r455441 + r455445;
        return r455446;
}

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 2019303 +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)))