Average Error: 0 → 0

Time: 1.4s

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 r10386275 = x;
        double r10386276 = y;
        double r10386277 = r10386275 + r10386276;
        double r10386278 = 2.0;
        double r10386279 = r10386277 / r10386278;
        return r10386279;
}

↓

double f(double x, double y) {
        double r10386280 = y;
        double r10386281 = x;
        double r10386282 = r10386280 + r10386281;
        double r10386283 = 2.0;
        double r10386284 = r10386282 / r10386283;
        return r10386284;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  (/ (+ x y) 2.0))