Average Error: 0.0 → 0.0
Time: 1.6s
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 r67352 = 2.0;
        double r67353 = x;
        double r67354 = exp(r67353);
        double r67355 = -r67353;
        double r67356 = exp(r67355);
        double r67357 = r67354 + r67356;
        double r67358 = r67352 / r67357;
        return r67358;
}
↓
double f(double x) {
        double r67359 = 2.0;
        double r67360 = x;
        double r67361 = exp(r67360);
        double r67362 = -r67360;
        double r67363 = exp(r67362);
        double r67364 = r67361 + r67363;
        double r67365 = r67359 / r67364;
        return r67365;
}

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 2020036 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))