Average Error: 0.2 → 0.2

Time: 2.7s

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 r215536 = x;
        double r215537 = y;
        double r215538 = r215536 * r215537;
        double r215539 = r215538 * r215537;
        return r215539;
}

↓

double f(double x, double y) {
        double r215540 = x;
        double r215541 = y;
        double r215542 = r215540 * r215541;
        double r215543 = r215542 * r215541;
        return r215543;
}

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 2020024 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))