Average Error: 0.2 → 0.2
Time: 9.2s
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 r15934372 = x;
        double r15934373 = y;
        double r15934374 = r15934372 * r15934373;
        double r15934375 = r15934374 * r15934373;
        return r15934375;
}
↓
double f(double x, double y) {
        double r15934376 = x;
        double r15934377 = y;
        double r15934378 = r15934376 * r15934377;
        double r15934379 = r15934378 * r15934377;
        return r15934379;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))