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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r2005826 = x;
        double r2005827 = y;
        double r2005828 = r2005826 + r2005827;
        double r2005829 = z;
        double r2005830 = r2005828 + r2005829;
        return r2005830;
}

↓

double f(double x, double y, double z) {
        double r2005831 = z;
        double r2005832 = y;
        double r2005833 = x;
        double r2005834 = r2005832 + r2005833;
        double r2005835 = r2005831 + r2005834;
        return r2005835;
}

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 2019158 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))