Average Error: 0.0 → 0.0
Time: 11.4s
Precision: 64
\[\frac{2}{e^{x} + e^{-x}}\]
\[\frac{2}{e^{x} + e^{-x}}\]
\frac{2}{e^{x} + e^{-x}}
\frac{2}{e^{x} + e^{-x}}
double f(double x) {
        double r2622039 = 2.0;
        double r2622040 = x;
        double r2622041 = exp(r2622040);
        double r2622042 = -r2622040;
        double r2622043 = exp(r2622042);
        double r2622044 = r2622041 + r2622043;
        double r2622045 = r2622039 / r2622044;
        return r2622045;
}

double f(double x) {
        double r2622046 = 2.0;
        double r2622047 = x;
        double r2622048 = exp(r2622047);
        double r2622049 = -r2622047;
        double r2622050 = exp(r2622049);
        double r2622051 = r2622048 + r2622050;
        double r2622052 = r2622046 / r2622051;
        return r2622052;
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{2}{e^{x} + e^{-x}}\]
  2. Final simplification0.0

    \[\leadsto \frac{2}{e^{x} + e^{-x}}\]

Reproduce

herbie shell --seed 2019169 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))