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 r637955 = x;
        double r637956 = y;
        double r637957 = r637955 - r637956;
        double r637958 = 2.0;
        double r637959 = r637957 / r637958;
        double r637960 = r637955 + r637959;
        return r637960;
}
↓
double f(double x, double y) {
        double r637961 = x;
        double r637962 = y;
        double r637963 = r637961 - r637962;
        double r637964 = 2.0;
        double r637965 = r637963 / r637964;
        double r637966 = r637961 + r637965;
        return r637966;
}

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 2020002 
(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)))