Average Error: 0.2 → 0.2

Time: 16.1s

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 r7973461 = x;
        double r7973462 = y;
        double r7973463 = r7973461 * r7973462;
        double r7973464 = r7973463 * r7973462;
        return r7973464;
}

↓

double f(double x, double y) {
        double r7973465 = x;
        double r7973466 = y;
        double r7973467 = r7973465 * r7973466;
        double r7973468 = r7973467 * r7973466;
        return r7973468;
}

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 2019158 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))