Average Error: 0 → 0
Time: 839.0ms
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 r8143 = x;
        double r8144 = 0.5;
        double r8145 = r8143 * r8144;
        double r8146 = r8145 * r8143;
        return r8146;
}
↓
double f(double x) {
        double r8147 = x;
        double r8148 = 0.5;
        double r8149 = r8147 * r8148;
        double r8150 = r8149 * r8147;
        return r8150;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))