Average Error: 0.2 → 0.2
Time: 8.0s
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 r195967 = x;
        double r195968 = y;
        double r195969 = r195967 * r195968;
        double r195970 = r195969 * r195968;
        return r195970;
}
↓
double f(double x, double y) {
        double r195971 = x;
        double r195972 = y;
        double r195973 = r195971 * r195972;
        double r195974 = r195973 * r195972;
        return r195974;
}

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 2019297 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))