Average Error: 0.2 → 0.2
Time: 3.6s
Precision: 64
\[\left(x \cdot y\right) \cdot y\]
↓
\[\left(x \cdot y\right) \cdot y\]
\left(x \cdot y\right) \cdot y
↓
\left(x \cdot y\right) \cdot y
double f(double x, double y) {
        double r252918 = x;
        double r252919 = y;
        double r252920 = r252918 * r252919;
        double r252921 = r252920 * r252919;
        return r252921;
}
↓
double f(double x, double y) {
        double r252922 = x;
        double r252923 = y;
        double r252924 = r252922 * r252923;
        double r252925 = r252924 * r252923;
        return r252925;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019362 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))