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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r807183 = x;
        double r807184 = y;
        double r807185 = r807183 + r807184;
        double r807186 = z;
        double r807187 = r807185 * r807186;
        return r807187;
}

↓

double f(double x, double y, double z) {
        double r807188 = y;
        double r807189 = x;
        double r807190 = r807188 + r807189;
        double r807191 = z;
        double r807192 = r807190 * r807191;
        return r807192;
}

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 2019164 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))