Average Error: 0.2 → 0.2

Time: 3.1s

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 r334823 = x;
        double r334824 = y;
        double r334825 = r334823 * r334824;
        double r334826 = r334825 * r334824;
        return r334826;
}

↓

double f(double x, double y) {
        double r334827 = x;
        double r334828 = y;
        double r334829 = r334827 * r334828;
        double r334830 = r334829 * r334828;
        return r334830;
}

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 2020036 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))