Average Error: 0.0 → 0.0
Time: 664.0ms
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 r48311 = 2.0;
        double r48312 = x;
        double r48313 = exp(r48312);
        double r48314 = -r48312;
        double r48315 = exp(r48314);
        double r48316 = r48313 + r48315;
        double r48317 = r48311 / r48316;
        return r48317;
}
↓
double f(double x) {
        double r48318 = 2.0;
        double r48319 = x;
        double r48320 = exp(r48319);
        double r48321 = -r48319;
        double r48322 = exp(r48321);
        double r48323 = r48320 + r48322;
        double r48324 = r48318 / r48323;
        return r48324;
}

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 2019326 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))