Average Error: 0 → 0
Time: 1.0s
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 r8311 = x;
        double r8312 = 0.5;
        double r8313 = r8311 * r8312;
        double r8314 = r8313 * r8311;
        return r8314;
}
↓
double f(double x) {
        double r8315 = x;
        double r8316 = 0.5;
        double r8317 = r8315 * r8316;
        double r8318 = r8317 * r8315;
        return r8318;
}

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 2019291 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))