Average Error: 0.1 → 0.1
Time: 1.0s
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 r391043 = x;
        double r391044 = y;
        double r391045 = r391043 - r391044;
        double r391046 = 2.0;
        double r391047 = r391045 / r391046;
        double r391048 = r391043 + r391047;
        return r391048;
}
↓
double f(double x, double y) {
        double r391049 = x;
        double r391050 = y;
        double r391051 = r391049 - r391050;
        double r391052 = 2.0;
        double r391053 = r391051 / r391052;
        double r391054 = r391049 + r391053;
        return r391054;
}

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 2019326 
(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)))