Average Error: 0.2 → 0.2
Time: 13.6s
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 r15287257 = x;
        double r15287258 = y;
        double r15287259 = r15287257 * r15287258;
        double r15287260 = r15287259 * r15287258;
        return r15287260;
}
↓
double f(double x, double y) {
        double r15287261 = x;
        double r15287262 = y;
        double r15287263 = r15287261 * r15287262;
        double r15287264 = r15287263 * r15287262;
        return r15287264;
}

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 2019163 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))