Average Error: 0.1 → 0.1
Time: 5.8s
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 r881615 = x;
        double r881616 = y;
        double r881617 = r881615 - r881616;
        double r881618 = 2.0;
        double r881619 = r881617 / r881618;
        double r881620 = r881615 + r881619;
        return r881620;
}
↓
double f(double x, double y) {
        double r881621 = x;
        double r881622 = y;
        double r881623 = r881621 - r881622;
        double r881624 = 2.0;
        double r881625 = r881623 / r881624;
        double r881626 = r881621 + r881625;
        return r881626;
}

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 2020035 
(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)))