Average Error: 0 → 0

Time: 1.2s

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 r9320288 = x;
        double r9320289 = 16.0;
        double r9320290 = r9320288 * r9320289;
        double r9320291 = r9320290 * r9320288;
        return r9320291;
}

↓

double f(double x) {
        double r9320292 = x;
        double r9320293 = 16.0;
        double r9320294 = r9320292 * r9320293;
        double r9320295 = r9320292 * r9320294;
        return r9320295;
}

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 2019171 
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))