Average Error: 0.2 → 0.2

Time: 7.0s

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 r215774 = x;
        double r215775 = y;
        double r215776 = r215774 * r215775;
        double r215777 = r215776 * r215775;
        return r215777;
}

↓

double f(double x, double y) {
        double r215778 = x;
        double r215779 = y;
        double r215780 = r215778 * r215779;
        double r215781 = r215780 * r215779;
        return r215781;
}

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 2019212 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))