Average Error: 0.2 → 0.2

Time: 9.0s

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 r8920158 = x;
        double r8920159 = y;
        double r8920160 = r8920158 * r8920159;
        double r8920161 = r8920160 * r8920159;
        return r8920161;
}

↓

double f(double x, double y) {
        double r8920162 = x;
        double r8920163 = y;
        double r8920164 = r8920162 * r8920163;
        double r8920165 = r8920164 * r8920163;
        return r8920165;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.2
\[\left(x \cdot y\right) \cdot y\]
Final simplification0.2
\[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))