Average Error: 0.0 → 0.0
Time: 1.1s
Precision: 64
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{-\left(1 - x \cdot x\right)}\]
e^{-\left(1 - x \cdot x\right)}
↓
e^{-\left(1 - x \cdot x\right)}
double f(double x) {
        double r17831 = 1.0;
        double r17832 = x;
        double r17833 = r17832 * r17832;
        double r17834 = r17831 - r17833;
        double r17835 = -r17834;
        double r17836 = exp(r17835);
        return r17836;
}
↓
double f(double x) {
        double r17837 = 1.0;
        double r17838 = x;
        double r17839 = r17838 * r17838;
        double r17840 = r17837 - r17839;
        double r17841 = -r17840;
        double r17842 = exp(r17841);
        return r17842;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020083 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))