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 r236509 = x;
        double r236510 = y;
        double r236511 = r236509 * r236510;
        double r236512 = r236511 * r236510;
        return r236512;
}

↓

double f(double x, double y) {
        double r236513 = x;
        double r236514 = y;
        double r236515 = r236513 * r236514;
        double r236516 = r236515 * r236514;
        return r236516;
}

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 2020034 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))