Average Error: 0.0 → 0.0
Time: 45.7s
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 r4973882 = 1.0;
        double r4973883 = x;
        double r4973884 = r4973883 * r4973883;
        double r4973885 = r4973882 - r4973884;
        double r4973886 = -r4973885;
        double r4973887 = exp(r4973886);
        return r4973887;
}
↓
double f(double x) {
        double r4973888 = 1.0;
        double r4973889 = x;
        double r4973890 = r4973889 * r4973889;
        double r4973891 = r4973888 - r4973890;
        double r4973892 = -r4973891;
        double r4973893 = exp(r4973892);
        return r4973893;
}

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 2019124 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))