Average Error: 0 → 0

Time: 1.6s

Precision: 64

\[\left(x \cdot 16\right) \cdot x\]

↓

\[x \cdot \left(x \cdot 16\right)\]

\left(x \cdot 16\right) \cdot x

↓

x \cdot \left(x \cdot 16\right)

double f(double x) {
        double r9562809 = x;
        double r9562810 = 16.0;
        double r9562811 = r9562809 * r9562810;
        double r9562812 = r9562811 * r9562809;
        return r9562812;
}

↓

double f(double x) {
        double r9562813 = x;
        double r9562814 = 16.0;
        double r9562815 = r9562813 * r9562814;
        double r9562816 = r9562813 * r9562815;
        return r9562816;
}

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
\[\left(x \cdot 16\right) \cdot x\]
Final simplification0
\[\leadsto x \cdot \left(x \cdot 16\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))