Average Error: 0.2 → 0.2

Time: 3.2s

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 r227717 = x;
        double r227718 = y;
        double r227719 = r227717 * r227718;
        double r227720 = r227719 * r227718;
        return r227720;
}

↓

double f(double x, double y) {
        double r227721 = x;
        double r227722 = y;
        double r227723 = r227721 * r227722;
        double r227724 = r227723 * r227722;
        return r227724;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))