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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1026220 = x;
        double r1026221 = y;
        double r1026222 = r1026220 + r1026221;
        double r1026223 = z;
        double r1026224 = r1026222 + r1026223;
        return r1026224;
}

↓

double f(double x, double y, double z) {
        double r1026225 = z;
        double r1026226 = y;
        double r1026227 = x;
        double r1026228 = r1026226 + r1026227;
        double r1026229 = r1026225 + r1026228;
        return r1026229;
}

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 2019164 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))