Average Error: 0.0 → 0.0
Time: 11.7s
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 r40476 = 2.0;
        double r40477 = x;
        double r40478 = exp(r40477);
        double r40479 = -r40477;
        double r40480 = exp(r40479);
        double r40481 = r40478 + r40480;
        double r40482 = r40476 / r40481;
        return r40482;
}
↓
double f(double x) {
        double r40483 = 2.0;
        double r40484 = x;
        double r40485 = exp(r40484);
        double r40486 = -r40484;
        double r40487 = exp(r40486);
        double r40488 = r40485 + r40487;
        double r40489 = r40483 / r40488;
        return r40489;
}

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 2019235 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))