Average Error: 0.0 → 0.0
Time: 1.3s
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 r19887 = 1.0;
        double r19888 = x;
        double r19889 = r19888 * r19888;
        double r19890 = r19887 - r19889;
        double r19891 = -r19890;
        double r19892 = exp(r19891);
        return r19892;
}
↓
double f(double x) {
        double r19893 = 1.0;
        double r19894 = x;
        double r19895 = r19894 * r19894;
        double r19896 = r19893 - r19895;
        double r19897 = -r19896;
        double r19898 = exp(r19897);
        return r19898;
}

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