Average Error: 0.2 → 0.2

Time: 3.4s

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 r352987 = x;
        double r352988 = y;
        double r352989 = r352987 * r352988;
        double r352990 = r352989 * r352988;
        return r352990;
}

↓

double f(double x, double y) {
        double r352991 = x;
        double r352992 = y;
        double r352993 = r352991 * r352992;
        double r352994 = r352993 * r352992;
        return r352994;
}

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 2020035 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))