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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1487153 = x;
        double r1487154 = y;
        double r1487155 = r1487153 + r1487154;
        double r1487156 = z;
        double r1487157 = r1487155 + r1487156;
        return r1487157;
}

↓

double f(double x, double y, double z) {
        double r1487158 = z;
        double r1487159 = y;
        double r1487160 = x;
        double r1487161 = r1487159 + r1487160;
        double r1487162 = r1487158 + r1487161;
        return r1487162;
}

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 2019163 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))