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 r23337 = 1.0;
        double r23338 = x;
        double r23339 = r23338 * r23338;
        double r23340 = r23337 - r23339;
        double r23341 = -r23340;
        double r23342 = exp(r23341);
        return r23342;
}
↓
double f(double x) {
        double r23343 = 1.0;
        double r23344 = x;
        double r23345 = r23344 * r23344;
        double r23346 = r23343 - r23345;
        double r23347 = -r23346;
        double r23348 = exp(r23347);
        return r23348;
}

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 2019344 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))