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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1237213 = x;
        double r1237214 = y;
        double r1237215 = r1237213 + r1237214;
        double r1237216 = z;
        double r1237217 = r1237215 + r1237216;
        return r1237217;
}

↓

double f(double x, double y, double z) {
        double r1237218 = z;
        double r1237219 = y;
        double r1237220 = x;
        double r1237221 = r1237219 + r1237220;
        double r1237222 = r1237218 + r1237221;
        return r1237222;
}

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 2019168 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))