Average Error: 0.2 → 0.2

Time: 9.1s

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 r183897 = x;
        double r183898 = y;
        double r183899 = r183897 * r183898;
        double r183900 = r183899 * r183898;
        return r183900;
}

↓

double f(double x, double y) {
        double r183901 = x;
        double r183902 = y;
        double r183903 = r183901 * r183902;
        double r183904 = r183903 * r183902;
        return r183904;
}

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 0.2
\[\left(x \cdot y\right) \cdot y\]
Final simplification0.2
\[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019196 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))