Average Error: 0.0 → 0.0
Time: 2.3s
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 r43012 = 2.0;
        double r43013 = x;
        double r43014 = exp(r43013);
        double r43015 = -r43013;
        double r43016 = exp(r43015);
        double r43017 = r43014 + r43016;
        double r43018 = r43012 / r43017;
        return r43018;
}
↓
double f(double x) {
        double r43019 = 2.0;
        double r43020 = x;
        double r43021 = exp(r43020);
        double r43022 = -r43020;
        double r43023 = exp(r43022);
        double r43024 = r43021 + r43023;
        double r43025 = r43019 / r43024;
        return r43025;
}

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 2020059 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))