Average Error: 0.2 → 0.2

Time: 3.3s

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 r225343 = x;
        double r225344 = y;
        double r225345 = r225343 * r225344;
        double r225346 = r225345 * r225344;
        return r225346;
}

↓

double f(double x, double y) {
        double r225347 = x;
        double r225348 = y;
        double r225349 = r225347 * r225348;
        double r225350 = r225349 * r225348;
        return r225350;
}

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 2020065 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))