Average Error: 0.2 → 0.2
Time: 17.5s
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 r10324119 = x;
        double r10324120 = y;
        double r10324121 = r10324119 * r10324120;
        double r10324122 = r10324121 * r10324120;
        return r10324122;
}
↓
double f(double x, double y) {
        double r10324123 = x;
        double r10324124 = y;
        double r10324125 = r10324123 * r10324124;
        double r10324126 = r10324125 * r10324124;
        return r10324126;
}

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 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))