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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r654865 = x;
        double r654866 = y;
        double r654867 = r654865 + r654866;
        double r654868 = z;
        double r654869 = r654867 * r654868;
        return r654869;
}

↓

double f(double x, double y, double z) {
        double r654870 = y;
        double r654871 = x;
        double r654872 = r654870 + r654871;
        double r654873 = z;
        double r654874 = r654872 * r654873;
        return r654874;
}

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 2019169 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))