Average Error: 0.0 → 0.0
Time: 9.2s
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 r23390 = 1.0;
        double r23391 = x;
        double r23392 = r23391 * r23391;
        double r23393 = r23390 - r23392;
        double r23394 = -r23393;
        double r23395 = exp(r23394);
        return r23395;
}
↓
double f(double x) {
        double r23396 = 1.0;
        double r23397 = x;
        double r23398 = r23397 * r23397;
        double r23399 = r23396 - r23398;
        double r23400 = -r23399;
        double r23401 = exp(r23400);
        return r23401;
}

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 2020046 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))