Average Error: 0 → 0
Time: 1.6s
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 r8483 = x;
        double r8484 = 0.5;
        double r8485 = r8483 * r8484;
        double r8486 = r8485 * r8483;
        return r8486;
}
↓
double f(double x) {
        double r8487 = x;
        double r8488 = 0.5;
        double r8489 = r8487 * r8488;
        double r8490 = r8487 * r8489;
        return r8490;
}

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 2019168 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))