Average Error: 0.0 → 0.0
Time: 2.7s
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 r43220 = 2.0;
        double r43221 = x;
        double r43222 = exp(r43221);
        double r43223 = -r43221;
        double r43224 = exp(r43223);
        double r43225 = r43222 + r43224;
        double r43226 = r43220 / r43225;
        return r43226;
}
↓
double f(double x) {
        double r43227 = 2.0;
        double r43228 = x;
        double r43229 = exp(r43228);
        double r43230 = -r43228;
        double r43231 = exp(r43230);
        double r43232 = r43229 + r43231;
        double r43233 = r43227 / r43232;
        return r43233;
}

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 2020024 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))