Average Error: 0.0 → 0.0
Time: 1.5s
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 r55397 = 2.0;
        double r55398 = x;
        double r55399 = exp(r55398);
        double r55400 = -r55398;
        double r55401 = exp(r55400);
        double r55402 = r55399 + r55401;
        double r55403 = r55397 / r55402;
        return r55403;
}
↓
double f(double x) {
        double r55404 = 2.0;
        double r55405 = x;
        double r55406 = exp(r55405);
        double r55407 = -r55405;
        double r55408 = exp(r55407);
        double r55409 = r55406 + r55408;
        double r55410 = r55404 / r55409;
        return r55410;
}

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 2020056 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))