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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r903109 = x;
        double r903110 = y;
        double r903111 = r903109 + r903110;
        double r903112 = z;
        double r903113 = r903111 * r903112;
        return r903113;
}

↓

double f(double x, double y, double z) {
        double r903114 = y;
        double r903115 = x;
        double r903116 = r903114 + r903115;
        double r903117 = z;
        double r903118 = r903116 * r903117;
        return r903118;
}

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 2019158 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))