Average Error: 0.0 → 0.0
Time: 1.3s
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 r19476 = 1.0;
        double r19477 = x;
        double r19478 = r19477 * r19477;
        double r19479 = r19476 - r19478;
        double r19480 = -r19479;
        double r19481 = exp(r19480);
        return r19481;
}
↓
double f(double x) {
        double r19482 = 1.0;
        double r19483 = x;
        double r19484 = r19483 * r19483;
        double r19485 = r19482 - r19484;
        double r19486 = -r19485;
        double r19487 = exp(r19486);
        return r19487;
}

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 2020057 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (- (- 1 (* x x)))))