Average Error: 0.0 → 0.0
Time: 755.0ms
Precision: 64
\[\left(x + y\right) + z\]
↓
\[\left(x + y\right) + z\]
\left(x + y\right) + z
↓
\left(x + y\right) + z
double f(double x, double y, double z) {
        double r184 = x;
        double r185 = y;
        double r186 = r184 + r185;
        double r187 = z;
        double r188 = r186 + r187;
        return r188;
}
↓
double f(double x, double y, double z) {
        double r189 = x;
        double r190 = y;
        double r191 = r189 + r190;
        double r192 = z;
        double r193 = r191 + r192;
        return r193;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x y z)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I"
  :precision binary64
  (+ (+ x y) z))