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 r19906 = 1.0;
        double r19907 = x;
        double r19908 = r19907 * r19907;
        double r19909 = r19906 - r19908;
        double r19910 = -r19909;
        double r19911 = exp(r19910);
        return r19911;
}
↓
double f(double x) {
        double r19912 = 1.0;
        double r19913 = x;
        double r19914 = r19913 * r19913;
        double r19915 = r19912 - r19914;
        double r19916 = -r19915;
        double r19917 = exp(r19916);
        return r19917;
}

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 2020027 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))