Average Error: 0.0 → 0.0
Time: 6.2s
Precision: 64
\[x \cdot \left(1.0 - x \cdot 0.5\right)\]
↓
\[\left(1.0 - x \cdot 0.5\right) \cdot x\]
x \cdot \left(1.0 - x \cdot 0.5\right)
↓
\left(1.0 - x \cdot 0.5\right) \cdot x
double f(double x) {
        double r3242832 = x;
        double r3242833 = 1.0;
        double r3242834 = 0.5;
        double r3242835 = r3242832 * r3242834;
        double r3242836 = r3242833 - r3242835;
        double r3242837 = r3242832 * r3242836;
        return r3242837;
}
↓
double f(double x) {
        double r3242838 = 1.0;
        double r3242839 = x;
        double r3242840 = 0.5;
        double r3242841 = r3242839 * r3242840;
        double r3242842 = r3242838 - r3242841;
        double r3242843 = r3242842 * r3242839;
        return r3242843;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot \left(1.0 - x \cdot 0.5\right)\]

  2. Final simplification0.0

    \[\leadsto \left(1.0 - x \cdot 0.5\right) \cdot x\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, B"
  (* x (- 1.0 (* x 0.5))))