Average Error: 0 → 0

Time: 701.0ms

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 r11458449 = x;
        double r11458450 = y;
        double r11458451 = r11458449 + r11458450;
        double r11458452 = 2.0;
        double r11458453 = r11458451 / r11458452;
        return r11458453;
}

↓

double f(double x, double y) {
        double r11458454 = y;
        double r11458455 = x;
        double r11458456 = r11458454 + r11458455;
        double r11458457 = 2.0;
        double r11458458 = r11458456 / r11458457;
        return r11458458;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  (/ (+ x y) 2.0))