Average Error: 0.0 → 0.0
Time: 1.7s
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 r57307 = 2.0;
        double r57308 = x;
        double r57309 = exp(r57308);
        double r57310 = -r57308;
        double r57311 = exp(r57310);
        double r57312 = r57309 + r57311;
        double r57313 = r57307 / r57312;
        return r57313;
}
↓
double f(double x) {
        double r57314 = 2.0;
        double r57315 = x;
        double r57316 = exp(r57315);
        double r57317 = -r57315;
        double r57318 = exp(r57317);
        double r57319 = r57316 + r57318;
        double r57320 = r57314 / r57319;
        return r57320;
}

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 2019354 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))