Average Error: 0.0 → 0.0
Time: 659.0ms
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 r17452 = 1.0;
        double r17453 = x;
        double r17454 = r17453 * r17453;
        double r17455 = r17452 - r17454;
        double r17456 = -r17455;
        double r17457 = exp(r17456);
        return r17457;
}
↓
double f(double x) {
        double r17458 = 1.0;
        double r17459 = x;
        double r17460 = r17459 * r17459;
        double r17461 = r17458 - r17460;
        double r17462 = -r17461;
        double r17463 = exp(r17462);
        return r17463;
}

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 2020059 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))