Average Error: 0.1 → 0.1
Time: 7.2s
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 r677968 = x;
        double r677969 = y;
        double r677970 = r677968 - r677969;
        double r677971 = 2.0;
        double r677972 = r677970 / r677971;
        double r677973 = r677968 + r677972;
        return r677973;
}
↓
double f(double x, double y) {
        double r677974 = x;
        double r677975 = y;
        double r677976 = r677974 - r677975;
        double r677977 = 2.0;
        double r677978 = r677976 / r677977;
        double r677979 = r677974 + r677978;
        return r677979;
}

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 2019350 
(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)))