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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1943562 = x;
        double r1943563 = y;
        double r1943564 = r1943562 + r1943563;
        double r1943565 = z;
        double r1943566 = r1943564 + r1943565;
        return r1943566;
}

↓

double f(double x, double y, double z) {
        double r1943567 = z;
        double r1943568 = y;
        double r1943569 = x;
        double r1943570 = r1943568 + r1943569;
        double r1943571 = r1943567 + r1943570;
        return r1943571;
}

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 2019174 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))