Average Error: 0.0 → 0.0
Time: 8.8s
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 r854885 = 2.0;
        double r854886 = x;
        double r854887 = exp(r854886);
        double r854888 = -r854886;
        double r854889 = exp(r854888);
        double r854890 = r854887 + r854889;
        double r854891 = r854885 / r854890;
        return r854891;
}

double f(double x) {
        double r854892 = 2.0;
        double r854893 = x;
        double r854894 = exp(r854893);
        double r854895 = -r854893;
        double r854896 = exp(r854895);
        double r854897 = r854894 + r854896;
        double r854898 = r854892 / r854897;
        return r854898;
}

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 2019155 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))