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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1166353 = x;
        double r1166354 = y;
        double r1166355 = r1166353 + r1166354;
        double r1166356 = z;
        double r1166357 = r1166355 + r1166356;
        return r1166357;
}

↓

double f(double x, double y, double z) {
        double r1166358 = z;
        double r1166359 = y;
        double r1166360 = x;
        double r1166361 = r1166359 + r1166360;
        double r1166362 = r1166358 + r1166361;
        return r1166362;
}

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 2019162 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))