Average Error: 0.1 → 0.1
Time: 8.6s
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 r727606 = x;
        double r727607 = y;
        double r727608 = r727606 - r727607;
        double r727609 = 2.0;
        double r727610 = r727608 / r727609;
        double r727611 = r727606 + r727610;
        return r727611;
}
↓
double f(double x, double y) {
        double r727612 = x;
        double r727613 = y;
        double r727614 = r727612 - r727613;
        double r727615 = 2.0;
        double r727616 = r727614 / r727615;
        double r727617 = r727612 + r727616;
        return r727617;
}

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 
(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)))