Average Error: 0.2 → 0.2
Time: 15.8s
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 r9754640 = x;
        double r9754641 = y;
        double r9754642 = r9754640 * r9754641;
        double r9754643 = r9754642 * r9754641;
        return r9754643;
}
↓
double f(double x, double y) {
        double r9754644 = x;
        double r9754645 = y;
        double r9754646 = r9754644 * r9754645;
        double r9754647 = r9754646 * r9754645;
        return r9754647;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))