Average Error: 0.0 → 0.0
Time: 2.6s
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 r27985 = 1.0;
        double r27986 = x;
        double r27987 = r27986 * r27986;
        double r27988 = r27985 - r27987;
        double r27989 = -r27988;
        double r27990 = exp(r27989);
        return r27990;
}
↓
double f(double x) {
        double r27991 = 1.0;
        double r27992 = x;
        double r27993 = r27992 * r27992;
        double r27994 = r27991 - r27993;
        double r27995 = -r27994;
        double r27996 = exp(r27995);
        return r27996;
}

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 2019352 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))