Average Error: 0.1 → 0.1
Time: 8.0s
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 r878649 = x;
        double r878650 = y;
        double r878651 = r878649 - r878650;
        double r878652 = 2.0;
        double r878653 = r878651 / r878652;
        double r878654 = r878649 + r878653;
        return r878654;
}
↓
double f(double x, double y) {
        double r878655 = x;
        double r878656 = y;
        double r878657 = r878655 - r878656;
        double r878658 = 2.0;
        double r878659 = r878657 / r878658;
        double r878660 = r878655 + r878659;
        return r878660;
}

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 2020025 
(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)))