Average Error: 0.0 → 0.0
Time: 933.0ms
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 r1799712 = 2.0;
        double r1799713 = x;
        double r1799714 = exp(r1799713);
        double r1799715 = -r1799713;
        double r1799716 = exp(r1799715);
        double r1799717 = r1799714 + r1799716;
        double r1799718 = r1799712 / r1799717;
        return r1799718;
}

double f(double x) {
        double r1799719 = 2.0;
        double r1799720 = x;
        double r1799721 = exp(r1799720);
        double r1799722 = -r1799720;
        double r1799723 = exp(r1799722);
        double r1799724 = r1799721 + r1799723;
        double r1799725 = r1799719 / r1799724;
        return r1799725;
}

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 2019172 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))