Average Error: 39.0 → 0.0
Time: 10.5s
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 r637543 = x;
        double r637544 = 1.0;
        double r637545 = r637543 + r637544;
        double r637546 = r637545 * r637545;
        double r637547 = r637546 - r637544;
        return r637547;
}
↓
double f(double x) {
        double r637548 = x;
        double r637549 = 2.0;
        double r637550 = r637548 + r637549;
        double r637551 = r637550 * r637548;
        return r637551;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 39.0

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

  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 2019132 
(FPCore (x)
  :name "Expanding a square"
  (- (* (+ x 1) (+ x 1)) 1))