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 r7810847 = x;
        double r7810848 = y;
        double r7810849 = r7810847 * r7810848;
        double r7810850 = r7810849 * r7810848;
        return r7810850;
}

↓

double f(double x, double y) {
        double r7810851 = x;
        double r7810852 = y;
        double r7810853 = r7810851 * r7810852;
        double r7810854 = r7810853 * r7810852;
        return r7810854;
}

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 2019165 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))