Average Error: 0 → 0
Time: 958.0ms
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 r8347 = x;
        double r8348 = 0.5;
        double r8349 = r8347 * r8348;
        double r8350 = r8349 * r8347;
        return r8350;
}
↓
double f(double x) {
        double r8351 = x;
        double r8352 = 0.5;
        double r8353 = r8351 * r8352;
        double r8354 = r8353 * r8351;
        return r8354;
}

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 2019173 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))