Average Error: 0 → 0

Time: 1.7s

Precision: 64

\[\frac{x + y}{2}\]

↓

\[\frac{y + x}{2}\]

\frac{x + y}{2}

↓

\frac{y + x}{2}

double f(double x, double y) {
        double r10191874 = x;
        double r10191875 = y;
        double r10191876 = r10191874 + r10191875;
        double r10191877 = 2.0;
        double r10191878 = r10191876 / r10191877;
        return r10191878;
}

↓

double f(double x, double y) {
        double r10191879 = y;
        double r10191880 = x;
        double r10191881 = r10191879 + r10191880;
        double r10191882 = 2.0;
        double r10191883 = r10191881 / r10191882;
        return r10191883;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0
\[\frac{x + y}{2}\]
Final simplification0
\[\leadsto \frac{y + x}{2}\]

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  (/ (+ x y) 2.0))