Average Error: 0 → 0

Time: 748.0ms

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 r8417764 = x;
        double r8417765 = y;
        double r8417766 = r8417764 + r8417765;
        double r8417767 = 2.0;
        double r8417768 = r8417766 / r8417767;
        return r8417768;
}

↓

double f(double x, double y) {
        double r8417769 = y;
        double r8417770 = x;
        double r8417771 = r8417769 + r8417770;
        double r8417772 = 2.0;
        double r8417773 = r8417771 / r8417772;
        return r8417773;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  (/ (+ x y) 2.0))