Average Error: 0.2 → 0.2
Time: 16.7s
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 r12262264 = x;
        double r12262265 = y;
        double r12262266 = r12262264 * r12262265;
        double r12262267 = r12262266 * r12262265;
        return r12262267;
}
↓
double f(double x, double y) {
        double r12262268 = x;
        double r12262269 = y;
        double r12262270 = r12262268 * r12262269;
        double r12262271 = r12262270 * r12262269;
        return r12262271;
}

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 2019169 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))