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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r1016709 = x;
        double r1016710 = y;
        double r1016711 = r1016709 + r1016710;
        double r1016712 = z;
        double r1016713 = r1016711 * r1016712;
        return r1016713;
}

↓

double f(double x, double y, double z) {
        double r1016714 = y;
        double r1016715 = x;
        double r1016716 = r1016714 + r1016715;
        double r1016717 = z;
        double r1016718 = r1016716 * r1016717;
        return r1016718;
}

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 2019168 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))