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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1143932 = x;
        double r1143933 = y;
        double r1143934 = r1143932 + r1143933;
        double r1143935 = z;
        double r1143936 = r1143934 + r1143935;
        return r1143936;
}

↓

double f(double x, double y, double z) {
        double r1143937 = z;
        double r1143938 = y;
        double r1143939 = x;
        double r1143940 = r1143938 + r1143939;
        double r1143941 = r1143937 + r1143940;
        return r1143941;
}

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