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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1561916 = x;
        double r1561917 = y;
        double r1561918 = r1561916 + r1561917;
        double r1561919 = z;
        double r1561920 = r1561918 + r1561919;
        return r1561920;
}

↓

double f(double x, double y, double z) {
        double r1561921 = z;
        double r1561922 = y;
        double r1561923 = x;
        double r1561924 = r1561922 + r1561923;
        double r1561925 = r1561921 + r1561924;
        return r1561925;
}

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
\[\left(x + y\right) + z\]
Final simplification0.0
\[\leadsto z + \left(y + x\right)\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))