Average Error: 0.2 → 0.2

Time: 3.1s

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 r253917 = x;
        double r253918 = y;
        double r253919 = r253917 * r253918;
        double r253920 = r253919 * r253918;
        return r253920;
}

↓

double f(double x, double y) {
        double r253921 = x;
        double r253922 = y;
        double r253923 = r253921 * r253922;
        double r253924 = r253923 * r253922;
        return r253924;
}

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