Average Error: 0.2 → 0.2

Time: 3.7s

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 r225475 = x;
        double r225476 = y;
        double r225477 = r225475 * r225476;
        double r225478 = r225477 * r225476;
        return r225478;
}

↓

double f(double x, double y) {
        double r225479 = x;
        double r225480 = y;
        double r225481 = r225479 * r225480;
        double r225482 = r225481 * r225480;
        return r225482;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))