Average Error: 0.2 → 0.2

Time: 3.4s

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 r304212 = x;
        double r304213 = y;
        double r304214 = r304212 * r304213;
        double r304215 = r304214 * r304213;
        return r304215;
}

↓

double f(double x, double y) {
        double r304216 = x;
        double r304217 = y;
        double r304218 = r304216 * r304217;
        double r304219 = r304218 * r304217;
        return r304219;
}

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 2020083 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))