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 r223143 = x;
        double r223144 = y;
        double r223145 = r223143 * r223144;
        double r223146 = r223145 * r223144;
        return r223146;
}

↓

double f(double x, double y) {
        double r223147 = x;
        double r223148 = y;
        double r223149 = r223147 * r223148;
        double r223150 = r223149 * r223148;
        return r223150;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))