Average Error: 0.0 → 0.0
Time: 11.7s
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 r15623 = 1.0;
        double r15624 = x;
        double r15625 = r15624 * r15624;
        double r15626 = r15623 - r15625;
        double r15627 = -r15626;
        double r15628 = exp(r15627);
        return r15628;
}
↓
double f(double x) {
        double r15629 = 1.0;
        double r15630 = x;
        double r15631 = r15630 * r15630;
        double r15632 = r15629 - r15631;
        double r15633 = -r15632;
        double r15634 = exp(r15633);
        return r15634;
}

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 2019306 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))