Average Error: 0.0 → 0.0
Time: 665.0ms
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 r17812 = 1.0;
        double r17813 = x;
        double r17814 = r17813 * r17813;
        double r17815 = r17812 - r17814;
        double r17816 = -r17815;
        double r17817 = exp(r17816);
        return r17817;
}
↓
double f(double x) {
        double r17818 = 1.0;
        double r17819 = x;
        double r17820 = r17819 * r17819;
        double r17821 = r17818 - r17820;
        double r17822 = -r17821;
        double r17823 = exp(r17822);
        return r17823;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))