Average Error: 0.2 → 0.2
Time: 8.3s
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 r188502 = x;
        double r188503 = y;
        double r188504 = r188502 * r188503;
        double r188505 = r188504 * r188503;
        return r188505;
}
↓
double f(double x, double y) {
        double r188506 = x;
        double r188507 = y;
        double r188508 = r188506 * r188507;
        double r188509 = r188508 * r188507;
        return r188509;
}

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 2019305 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))