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 r156 = 1.0;
        double r157 = x;
        double r158 = r157 * r157;
        double r159 = r156 - r158;
        double r160 = -r159;
        double r161 = exp(r160);
        return r161;
}
↓
double f(double x) {
        double r162 = 1.0;
        double r163 = x;
        double r164 = r163 * r163;
        double r165 = r162 - r164;
        double r166 = -r165;
        double r167 = exp(r166);
        return r167;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))