\[\left(x + y\right) \cdot z\]

↓

\[\left(y + x\right) \cdot z\]

\left(x + y\right) \cdot z

↓

\left(y + x\right) \cdot z

double f(double x, double y, double z) {
        double r808459 = x;
        double r808460 = y;
        double r808461 = r808459 + r808460;
        double r808462 = z;
        double r808463 = r808461 * r808462;
        return r808463;
}

↓

double f(double x, double y, double z) {
        double r808464 = y;
        double r808465 = x;
        double r808466 = r808464 + r808465;
        double r808467 = z;
        double r808468 = r808466 * r808467;
        return r808468;
}

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 0.0
\[\left(x + y\right) \cdot z\]
Final simplification0.0
\[\leadsto \left(y + x\right) \cdot z\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))