Average Error: 0.0 → 0.0
Time: 1.2s
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 r1896873 = 2.0;
        double r1896874 = x;
        double r1896875 = exp(r1896874);
        double r1896876 = -r1896874;
        double r1896877 = exp(r1896876);
        double r1896878 = r1896875 + r1896877;
        double r1896879 = r1896873 / r1896878;
        return r1896879;
}
↓
double f(double x) {
        double r1896880 = 2.0;
        double r1896881 = x;
        double r1896882 = exp(r1896881);
        double r1896883 = -r1896881;
        double r1896884 = exp(r1896883);
        double r1896885 = r1896882 + r1896884;
        double r1896886 = r1896880 / r1896885;
        return r1896886;
}

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