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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1081862 = x;
        double r1081863 = y;
        double r1081864 = r1081862 + r1081863;
        double r1081865 = z;
        double r1081866 = r1081864 + r1081865;
        return r1081866;
}

↓

double f(double x, double y, double z) {
        double r1081867 = z;
        double r1081868 = y;
        double r1081869 = x;
        double r1081870 = r1081868 + r1081869;
        double r1081871 = r1081867 + r1081870;
        return r1081871;
}

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 2019164 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))