Average Error: 0 → 0
Time: 738.0ms
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 r8369 = x;
        double r8370 = 0.5;
        double r8371 = r8369 * r8370;
        double r8372 = r8371 * r8369;
        return r8372;
}
↓
double f(double x) {
        double r8373 = x;
        double r8374 = 0.5;
        double r8375 = r8373 * r8374;
        double r8376 = r8375 * r8373;
        return r8376;
}

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 2019347 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))