Average Error: 0 → 0
Time: 1.8s
Precision: 64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 0.5\right)\]
\left(x \cdot 0.5\right) \cdot x
↓
x \cdot \left(x \cdot 0.5\right)
double f(double x) {
        double r8471 = x;
        double r8472 = 0.5;
        double r8473 = r8471 * r8472;
        double r8474 = r8473 * r8471;
        return r8474;
}
↓
double f(double x) {
        double r8475 = x;
        double r8476 = 0.5;
        double r8477 = r8475 * r8476;
        double r8478 = r8475 * r8477;
        return r8478;
}

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

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

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))