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 r19856 = 1.0;
        double r19857 = x;
        double r19858 = r19857 * r19857;
        double r19859 = r19856 - r19858;
        double r19860 = -r19859;
        double r19861 = exp(r19860);
        return r19861;
}
↓
double f(double x) {
        double r19862 = 1.0;
        double r19863 = x;
        double r19864 = r19863 * r19863;
        double r19865 = r19862 - r19864;
        double r19866 = -r19865;
        double r19867 = exp(r19866);
        return r19867;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))