Average Error: 0.0 → 0.0
Time: 8.6s
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 r46578 = 2.0;
        double r46579 = x;
        double r46580 = exp(r46579);
        double r46581 = -r46579;
        double r46582 = exp(r46581);
        double r46583 = r46580 + r46582;
        double r46584 = r46578 / r46583;
        return r46584;
}
↓
double f(double x) {
        double r46585 = 2.0;
        double r46586 = x;
        double r46587 = exp(r46586);
        double r46588 = -r46586;
        double r46589 = exp(r46588);
        double r46590 = r46587 + r46589;
        double r46591 = r46585 / r46590;
        return r46591;
}

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 2019306 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))