Average Error: 0.2 → 0.2

Time: 4.9s

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 r1000 = x;
        double r1001 = y;
        double r1002 = r1000 * r1001;
        double r1003 = r1002 * r1001;
        return r1003;
}

↓

double f(double x, double y) {
        double r1004 = x;
        double r1005 = y;
        double r1006 = r1004 * r1005;
        double r1007 = r1006 * r1005;
        return r1007;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))