Average Error: 0.0 → 0.0
Time: 12.0s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{x \cdot x - 1}\]
e^{-\left(1 - x \cdot x\right)}
↓
e^{x \cdot x - 1}
double f(double x) {
        double r35679 = 1.0;
        double r35680 = x;
        double r35681 = r35680 * r35680;
        double r35682 = r35679 - r35681;
        double r35683 = -r35682;
        double r35684 = exp(r35683);
        return r35684;
}
↓
double f(double x) {
        double r35685 = x;
        double r35686 = r35685 * r35685;
        double r35687 = 1.0;
        double r35688 = r35686 - r35687;
        double r35689 = exp(r35688);
        return r35689;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{-\left(1 - x \cdot x\right)}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{e^{x \cdot x - 1}}\]

  3. Final simplification0.0

    \[\leadsto e^{x \cdot x - 1}\]

Reproduce

herbie shell --seed 2019347 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))