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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r959799 = x;
        double r959800 = y;
        double r959801 = r959799 + r959800;
        double r959802 = z;
        double r959803 = r959801 * r959802;
        return r959803;
}

↓

double f(double x, double y, double z) {
        double r959804 = y;
        double r959805 = x;
        double r959806 = r959804 + r959805;
        double r959807 = z;
        double r959808 = r959806 * r959807;
        return r959808;
}

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))