Average Error: 0.0 → 0.0
Time: 15.1s
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 r1449482 = 1.0;
        double r1449483 = x;
        double r1449484 = r1449483 * r1449483;
        double r1449485 = r1449482 - r1449484;
        double r1449486 = -r1449485;
        double r1449487 = exp(r1449486);
        return r1449487;
}
↓
double f(double x) {
        double r1449488 = 1.0;
        double r1449489 = x;
        double r1449490 = r1449489 * r1449489;
        double r1449491 = r1449488 - r1449490;
        double r1449492 = -r1449491;
        double r1449493 = exp(r1449492);
        return r1449493;
}

Error

Bits error versus x

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Results

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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 2019146 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))