Average Error: 0.0 → 0.0
Time: 1.6s
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 r23816 = 1.0;
        double r23817 = x;
        double r23818 = r23817 * r23817;
        double r23819 = r23816 - r23818;
        double r23820 = -r23819;
        double r23821 = exp(r23820);
        return r23821;
}
↓
double f(double x) {
        double r23822 = 1.0;
        double r23823 = x;
        double r23824 = r23823 * r23823;
        double r23825 = r23822 - r23824;
        double r23826 = -r23825;
        double r23827 = exp(r23826);
        return r23827;
}

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 2020018 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))