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 r279563 = x;
        double r279564 = y;
        double r279565 = r279563 * r279564;
        double r279566 = r279565 * r279564;
        return r279566;
}

↓

double f(double x, double y) {
        double r279567 = x;
        double r279568 = y;
        double r279569 = r279567 * r279568;
        double r279570 = r279569 * r279568;
        return r279570;
}

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 2019353 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))