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 r699689 = x;
        double r699690 = y;
        double r699691 = r699689 - r699690;
        double r699692 = 2.0;
        double r699693 = r699691 / r699692;
        double r699694 = r699689 + r699693;
        return r699694;
}
↓
double f(double x, double y) {
        double r699695 = x;
        double r699696 = y;
        double r699697 = r699695 - r699696;
        double r699698 = 2.0;
        double r699699 = r699697 / r699698;
        double r699700 = r699695 + r699699;
        return r699700;
}

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 2020018 +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)))