Average Error: 38.7 → 0.0
Time: 10.1s
Precision: 64
\[\left(x + 1\right) \cdot \left(x + 1\right) - 1\]
↓
\[\left(x + 2\right) \cdot x\]
\left(x + 1\right) \cdot \left(x + 1\right) - 1
↓
\left(x + 2\right) \cdot x
double f(double x) {
        double r737823 = x;
        double r737824 = 1.0;
        double r737825 = r737823 + r737824;
        double r737826 = r737825 * r737825;
        double r737827 = r737826 - r737824;
        return r737827;
}
↓
double f(double x) {
        double r737828 = x;
        double r737829 = 2.0;
        double r737830 = r737828 + r737829;
        double r737831 = r737830 * r737828;
        return r737831;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 38.7

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019124 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))