Average Error: 0.2 → 0.2
Time: 3.4s
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 r203003 = x;
        double r203004 = y;
        double r203005 = r203003 * r203004;
        double r203006 = r203005 * r203004;
        return r203006;
}
↓
double f(double x, double y) {
        double r203007 = x;
        double r203008 = y;
        double r203009 = r203007 * r203008;
        double r203010 = r203009 * r203008;
        return r203010;
}

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 2020057 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))