Average Error: 0.1 → 0.1
Time: 5.6s
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 r655935 = x;
        double r655936 = y;
        double r655937 = r655935 - r655936;
        double r655938 = 2.0;
        double r655939 = r655937 / r655938;
        double r655940 = r655935 + r655939;
        return r655940;
}
↓
double f(double x, double y) {
        double r655941 = x;
        double r655942 = y;
        double r655943 = r655941 - r655942;
        double r655944 = 2.0;
        double r655945 = r655943 / r655944;
        double r655946 = r655941 + r655945;
        return r655946;
}

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 
(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)))