Average Error: 0.2 → 0.2

Time: 3.5s

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 r232019 = x;
        double r232020 = y;
        double r232021 = r232019 * r232020;
        double r232022 = r232021 * r232020;
        return r232022;
}

↓

double f(double x, double y) {
        double r232023 = x;
        double r232024 = y;
        double r232025 = r232023 * r232024;
        double r232026 = r232025 * r232024;
        return r232026;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))