Average Error: 0 → 0
Time: 660.0ms
Precision: 64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[\left(x \cdot 0.5\right) \cdot x\]
\left(x \cdot 0.5\right) \cdot x
↓
\left(x \cdot 0.5\right) \cdot x
double f(double x) {
        double r161 = x;
        double r162 = 0.5;
        double r163 = r161 * r162;
        double r164 = r163 * r161;
        return r164;
}
↓
double f(double x) {
        double r165 = x;
        double r166 = 0.5;
        double r167 = r165 * r166;
        double r168 = r167 * r165;
        return r168;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 0.5\right) \cdot x\]

  2. Final simplification0

    \[\leadsto \left(x \cdot 0.5\right) \cdot x\]

Reproduce

herbie shell --seed 2019346 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))