Average Error: 0.0 → 0.0
Time: 1.3s
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 r66402 = 2.0;
        double r66403 = x;
        double r66404 = exp(r66403);
        double r66405 = -r66403;
        double r66406 = exp(r66405);
        double r66407 = r66404 + r66406;
        double r66408 = r66402 / r66407;
        return r66408;
}
↓
double f(double x) {
        double r66409 = 2.0;
        double r66410 = x;
        double r66411 = exp(r66410);
        double r66412 = -r66410;
        double r66413 = exp(r66412);
        double r66414 = r66411 + r66413;
        double r66415 = r66409 / r66414;
        return r66415;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))