Average Error: 0.2 → 0.2

Time: 14.8s

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 r183854 = x;
        double r183855 = y;
        double r183856 = r183854 * r183855;
        double r183857 = r183856 * r183855;
        return r183857;
}

↓

double f(double x, double y) {
        double r183858 = x;
        double r183859 = y;
        double r183860 = r183858 * r183859;
        double r183861 = r183860 * r183859;
        return r183861;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))