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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1147997 = x;
        double r1147998 = y;
        double r1147999 = r1147997 + r1147998;
        double r1148000 = z;
        double r1148001 = r1147999 + r1148000;
        return r1148001;
}

↓

double f(double x, double y, double z) {
        double r1148002 = z;
        double r1148003 = y;
        double r1148004 = x;
        double r1148005 = r1148003 + r1148004;
        double r1148006 = r1148002 + r1148005;
        return r1148006;
}

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 2019171 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))