Average Error: 0 → 0

Time: 1.0s

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 r7641477 = x;
        double r7641478 = y;
        double r7641479 = r7641477 + r7641478;
        double r7641480 = 2.0;
        double r7641481 = r7641479 / r7641480;
        return r7641481;
}

↓

double f(double x, double y) {
        double r7641482 = y;
        double r7641483 = x;
        double r7641484 = r7641482 + r7641483;
        double r7641485 = 2.0;
        double r7641486 = r7641484 / r7641485;
        return r7641486;
}

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))