Average Error: 38.3 → 0.0
Time: 18.9s
Precision: 64
\[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]
↓
\[x \cdot \left(2 + x\right)\]
\left(x + 1\right) \cdot \left(x + 1\right) - 1
↓
x \cdot \left(2 + x\right)
double f(double x) {
        double r477876 = x;
        double r477877 = 1.0;
        double r477878 = r477876 + r477877;
        double r477879 = r477878 * r477878;
        double r477880 = r477879 - r477877;
        return r477880;
}
↓
double f(double x) {
        double r477881 = x;
        double r477882 = 2.0;
        double r477883 = r477882 + r477881;
        double r477884 = r477881 * r477883;
        return r477884;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.3

    \[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(x + 2\right) \cdot x}\]

  3. Final simplification0.0

    \[\leadsto x \cdot \left(2 + x\right)\]

Reproduce

herbie shell --seed 2019143 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))