Average Error: 0.2 → 0.2

Time: 4.6s

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 r230139 = x;
        double r230140 = y;
        double r230141 = r230139 * r230140;
        double r230142 = r230141 * r230140;
        return r230142;
}

↓

double f(double x, double y) {
        double r230143 = x;
        double r230144 = y;
        double r230145 = r230143 * r230144;
        double r230146 = r230145 * r230144;
        return r230146;
}

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 2020100 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))