Average Error: 0.0 → 0.0
Time: 13.8s
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 r2150585 = 1.0;
        double r2150586 = x;
        double r2150587 = r2150586 * r2150586;
        double r2150588 = r2150585 - r2150587;
        double r2150589 = -r2150588;
        double r2150590 = exp(r2150589);
        return r2150590;
}
↓
double f(double x) {
        double r2150591 = 1.0;
        double r2150592 = x;
        double r2150593 = r2150592 * r2150592;
        double r2150594 = r2150591 - r2150593;
        double r2150595 = -r2150594;
        double r2150596 = exp(r2150595);
        return r2150596;
}

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 2019104 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))