Average Error: 0.2 → 0.2

Time: 7.8s

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 r170509 = x;
        double r170510 = y;
        double r170511 = r170509 * r170510;
        double r170512 = r170511 * r170510;
        return r170512;
}

↓

double f(double x, double y) {
        double r170513 = x;
        double r170514 = y;
        double r170515 = r170513 * r170514;
        double r170516 = r170515 * r170514;
        return r170516;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))