Average Error: 0.1 → 0.1
Time: 4.7s
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 r577288 = x;
        double r577289 = y;
        double r577290 = r577288 - r577289;
        double r577291 = 2.0;
        double r577292 = r577290 / r577291;
        double r577293 = r577288 + r577292;
        return r577293;
}
↓
double f(double x, double y) {
        double r577294 = x;
        double r577295 = y;
        double r577296 = r577294 - r577295;
        double r577297 = 2.0;
        double r577298 = r577296 / r577297;
        double r577299 = r577294 + r577298;
        return r577299;
}

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)))