Average Error: 0.2 → 0.2
Time: 7.9s
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 r183436 = x;
        double r183437 = y;
        double r183438 = r183436 * r183437;
        double r183439 = r183438 * r183437;
        return r183439;
}
↓
double f(double x, double y) {
        double r183440 = x;
        double r183441 = y;
        double r183442 = r183440 * r183441;
        double r183443 = r183442 * r183441;
        return r183443;
}

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 2019194 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))