Average Error: 0.2 → 0.2

Time: 17.6s

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 r295370 = x;
        double r295371 = y;
        double r295372 = r295370 * r295371;
        double r295373 = r295372 * r295371;
        return r295373;
}

↓

double f(double x, double y) {
        double r295374 = x;
        double r295375 = y;
        double r295376 = r295374 * r295375;
        double r295377 = r295376 * r295375;
        return r295377;
}

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 2019326 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))