Average Error: 0.0 → 0.0
Time: 5.7s
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 r39307 = 2.0;
        double r39308 = x;
        double r39309 = exp(r39308);
        double r39310 = -r39308;
        double r39311 = exp(r39310);
        double r39312 = r39309 + r39311;
        double r39313 = r39307 / r39312;
        return r39313;
}
↓
double f(double x) {
        double r39314 = 2.0;
        double r39315 = x;
        double r39316 = exp(r39315);
        double r39317 = -r39315;
        double r39318 = exp(r39317);
        double r39319 = r39316 + r39318;
        double r39320 = r39314 / r39319;
        return r39320;
}

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 2019208 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))