Average Error: 0.0 → 0.0
Time: 12.3s
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 r56250 = 1.0;
        double r56251 = x;
        double r56252 = r56251 * r56251;
        double r56253 = r56250 - r56252;
        double r56254 = -r56253;
        double r56255 = exp(r56254);
        return r56255;
}
↓
double f(double x) {
        double r56256 = 1.0;
        double r56257 = x;
        double r56258 = r56257 * r56257;
        double r56259 = r56256 - r56258;
        double r56260 = -r56259;
        double r56261 = exp(r56260);
        return r56261;
}

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 2019297 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))