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

↓

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

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

↓

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

double f(double x, double y, double z) {
        double r592228 = x;
        double r592229 = y;
        double r592230 = r592228 + r592229;
        double r592231 = z;
        double r592232 = r592230 * r592231;
        return r592232;
}

↓

double f(double x, double y, double z) {
        double r592233 = y;
        double r592234 = x;
        double r592235 = r592233 + r592234;
        double r592236 = z;
        double r592237 = r592235 * r592236;
        return r592237;
}

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 2019179 +o rules:numerics
(FPCore (x y z)
  :name "Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B"
  (* (+ x y) z))