Average Error: 0.2 → 0.2

Time: 32.7s

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 r9947937 = x;
        double r9947938 = y;
        double r9947939 = r9947937 * r9947938;
        double r9947940 = r9947939 * r9947938;
        return r9947940;
}

↓

double f(double x, double y) {
        double r9947941 = x;
        double r9947942 = y;
        double r9947943 = r9947941 * r9947942;
        double r9947944 = r9947943 * r9947942;
        return r9947944;
}

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 2019168 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))