Average Error: 0 → 0

Time: 882.0ms

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 r122672 = x;
        double r122673 = y;
        double r122674 = r122672 + r122673;
        double r122675 = 2.0;
        double r122676 = r122674 / r122675;
        return r122676;
}

↓

double f(double x, double y) {
        double r122677 = y;
        double r122678 = x;
        double r122679 = r122677 + r122678;
        double r122680 = 2.0;
        double r122681 = r122679 / r122680;
        return r122681;
}

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 2019194 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, A"
  (/ (+ x y) 2.0))