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

↓

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

\left(x + y\right) + z

↓

z + \left(y + x\right)

double f(double x, double y, double z) {
        double r1642153 = x;
        double r1642154 = y;
        double r1642155 = r1642153 + r1642154;
        double r1642156 = z;
        double r1642157 = r1642155 + r1642156;
        return r1642157;
}

↓

double f(double x, double y, double z) {
        double r1642158 = z;
        double r1642159 = y;
        double r1642160 = x;
        double r1642161 = r1642159 + r1642160;
        double r1642162 = r1642158 + r1642161;
        return r1642162;
}

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 2019172 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  (+ (+ x y) z))