Average Error: 0.2 → 0.2

Time: 3.2s

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 r244968 = x;
        double r244969 = y;
        double r244970 = r244968 * r244969;
        double r244971 = r244970 * r244969;
        return r244971;
}

↓

double f(double x, double y) {
        double r244972 = x;
        double r244973 = y;
        double r244974 = r244972 * r244973;
        double r244975 = r244974 * r244973;
        return r244975;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))