Average Error: 0.2 → 0.2

Time: 4.7s

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 r288032 = x;
        double r288033 = y;
        double r288034 = r288032 * r288033;
        double r288035 = r288034 * r288033;
        return r288035;
}

↓

double f(double x, double y) {
        double r288036 = x;
        double r288037 = y;
        double r288038 = r288036 * r288037;
        double r288039 = r288038 * r288037;
        return r288039;
}

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 2020027 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))