Average Error: 0.1 → 0.1
Time: 3.7s
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 r674729 = x;
        double r674730 = y;
        double r674731 = r674729 - r674730;
        double r674732 = 2.0;
        double r674733 = r674731 / r674732;
        double r674734 = r674729 + r674733;
        return r674734;
}
↓
double f(double x, double y) {
        double r674735 = x;
        double r674736 = y;
        double r674737 = r674735 - r674736;
        double r674738 = 2.0;
        double r674739 = r674737 / r674738;
        double r674740 = r674735 + r674739;
        return r674740;
}

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 2019362 
(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)))