Average Error: 0.0 → 0.0
Time: 2.0s
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 r24028 = 1.0;
        double r24029 = x;
        double r24030 = r24029 * r24029;
        double r24031 = r24028 - r24030;
        double r24032 = -r24031;
        double r24033 = exp(r24032);
        return r24033;
}
↓
double f(double x) {
        double r24034 = 1.0;
        double r24035 = x;
        double r24036 = r24035 * r24035;
        double r24037 = r24034 - r24036;
        double r24038 = -r24037;
        double r24039 = exp(r24038);
        return r24039;
}

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 2019346 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))