Average Error: 0.1 → 0.1
Time: 5.0s
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 r628981 = x;
        double r628982 = y;
        double r628983 = r628981 - r628982;
        double r628984 = 2.0;
        double r628985 = r628983 / r628984;
        double r628986 = r628981 + r628985;
        return r628986;
}
↓
double f(double x, double y) {
        double r628987 = x;
        double r628988 = y;
        double r628989 = r628987 - r628988;
        double r628990 = 2.0;
        double r628991 = r628989 / r628990;
        double r628992 = r628987 + r628991;
        return r628992;
}

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 2020064 +o rules:numerics
(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)))