Average Error: 0.2 → 0.2

Time: 8.5s

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 r159525 = x;
        double r159526 = y;
        double r159527 = r159525 * r159526;
        double r159528 = r159527 * r159526;
        return r159528;
}

↓

double f(double x, double y) {
        double r159529 = x;
        double r159530 = y;
        double r159531 = r159529 * r159530;
        double r159532 = r159531 * r159530;
        return r159532;
}

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 2019298 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))