Average Error: 0.0 → 0.0
Time: 1.1s
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 r18666 = 1.0;
        double r18667 = x;
        double r18668 = r18667 * r18667;
        double r18669 = r18666 - r18668;
        double r18670 = -r18669;
        double r18671 = exp(r18670);
        return r18671;
}
↓
double f(double x) {
        double r18672 = 1.0;
        double r18673 = x;
        double r18674 = r18673 * r18673;
        double r18675 = r18672 - r18674;
        double r18676 = -r18675;
        double r18677 = exp(r18676);
        return r18677;
}

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 2020024 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))