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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r170944 = x;
        double r170945 = y;
        double r170946 = r170944 + r170945;
        double r170947 = z;
        double r170948 = r170946 * r170947;
        return r170948;
}

↓

double f(double x, double y, double z) {
        double r170949 = y;
        double r170950 = x;
        double r170951 = r170949 + r170950;
        double r170952 = z;
        double r170953 = r170951 * r170952;
        return r170953;
}

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 2019171 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))