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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1127317 = x;
        double r1127318 = y;
        double r1127319 = r1127317 + r1127318;
        double r1127320 = z;
        double r1127321 = r1127319 + r1127320;
        return r1127321;
}

↓

double f(double x, double y, double z) {
        double r1127322 = z;
        double r1127323 = y;
        double r1127324 = x;
        double r1127325 = r1127323 + r1127324;
        double r1127326 = r1127322 + r1127325;
        return r1127326;
}

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 2019172 
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))