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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r766591 = x;
        double r766592 = y;
        double r766593 = r766591 + r766592;
        double r766594 = z;
        double r766595 = r766593 * r766594;
        return r766595;
}

↓

double f(double x, double y, double z) {
        double r766596 = y;
        double r766597 = x;
        double r766598 = r766596 + r766597;
        double r766599 = z;
        double r766600 = r766598 * r766599;
        return r766600;
}

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 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))