Average Error: 0 → 0
Time: 898.0ms
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 r8033 = x;
        double r8034 = 0.5;
        double r8035 = r8033 * r8034;
        double r8036 = r8035 * r8033;
        return r8036;
}
↓
double f(double x) {
        double r8037 = x;
        double r8038 = 0.5;
        double r8039 = r8037 * r8038;
        double r8040 = r8037 * r8039;
        return r8040;
}

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. Simplified0

    \[\leadsto \color{blue}{x \cdot \left(x \cdot 0.5\right)}\]

  3. Final simplification0

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))