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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r900578 = x;
        double r900579 = y;
        double r900580 = r900578 + r900579;
        double r900581 = z;
        double r900582 = r900580 * r900581;
        return r900582;
}

↓

double f(double x, double y, double z) {
        double r900583 = y;
        double r900584 = x;
        double r900585 = r900583 + r900584;
        double r900586 = z;
        double r900587 = r900585 * r900586;
        return r900587;
}

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 2019172 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))