Average Error: 0.0 → 0.0
Time: 1.8s
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 r40016 = 2.0;
        double r40017 = x;
        double r40018 = exp(r40017);
        double r40019 = -r40017;
        double r40020 = exp(r40019);
        double r40021 = r40018 + r40020;
        double r40022 = r40016 / r40021;
        return r40022;
}
↓
double f(double x) {
        double r40023 = 2.0;
        double r40024 = x;
        double r40025 = exp(r40024);
        double r40026 = -r40024;
        double r40027 = exp(r40026);
        double r40028 = r40025 + r40027;
        double r40029 = r40023 / r40028;
        return r40029;
}

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 2020062 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))