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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1170024 = x;
        double r1170025 = y;
        double r1170026 = r1170024 + r1170025;
        double r1170027 = z;
        double r1170028 = r1170026 + r1170027;
        return r1170028;
}

↓

double f(double x, double y, double z) {
        double r1170029 = z;
        double r1170030 = y;
        double r1170031 = x;
        double r1170032 = r1170030 + r1170031;
        double r1170033 = r1170029 + r1170032;
        return r1170033;
}

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 2019170 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))