Average Error: 0.0 → 0.0
Time: 1.2s
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 r60013 = 2.0;
        double r60014 = x;
        double r60015 = exp(r60014);
        double r60016 = -r60014;
        double r60017 = exp(r60016);
        double r60018 = r60015 + r60017;
        double r60019 = r60013 / r60018;
        return r60019;
}
↓
double f(double x) {
        double r60020 = 2.0;
        double r60021 = x;
        double r60022 = exp(r60021);
        double r60023 = -r60021;
        double r60024 = exp(r60023);
        double r60025 = r60022 + r60024;
        double r60026 = r60020 / r60025;
        return r60026;
}

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 2020046 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))