Average Error: 0.0 → 0.0
Time: 7.5s
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 r47849 = 2.0;
        double r47850 = x;
        double r47851 = exp(r47850);
        double r47852 = -r47850;
        double r47853 = exp(r47852);
        double r47854 = r47851 + r47853;
        double r47855 = r47849 / r47854;
        return r47855;
}
↓
double f(double x) {
        double r47856 = 2.0;
        double r47857 = x;
        double r47858 = exp(r47857);
        double r47859 = -r47857;
        double r47860 = exp(r47859);
        double r47861 = r47858 + r47860;
        double r47862 = r47856 / r47861;
        return r47862;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2019195 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))