Average Error: 0.0 → 0.0
Time: 416.0ms
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 r46861 = 2.0;
        double r46862 = x;
        double r46863 = exp(r46862);
        double r46864 = -r46862;
        double r46865 = exp(r46864);
        double r46866 = r46863 + r46865;
        double r46867 = r46861 / r46866;
        return r46867;
}

double f(double x) {
        double r46868 = 2.0;
        double r46869 = x;
        double r46870 = exp(r46869);
        double r46871 = -r46869;
        double r46872 = exp(r46871);
        double r46873 = r46870 + r46872;
        double r46874 = r46868 / r46873;
        return r46874;
}

Error

Bits error versus x

Try it out

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 2019351 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))