Average Error: 0.0 → 0.0
Time: 1.2s
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 r18746 = 1.0;
        double r18747 = x;
        double r18748 = r18747 * r18747;
        double r18749 = r18746 - r18748;
        double r18750 = -r18749;
        double r18751 = exp(r18750);
        return r18751;
}
↓
double f(double x) {
        double r18752 = 1.0;
        double r18753 = x;
        double r18754 = r18753 * r18753;
        double r18755 = r18752 - r18754;
        double r18756 = -r18755;
        double r18757 = exp(r18756);
        return r18757;
}

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 2020027 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))