Average Error: 0.0 → 0.0
Time: 7.2s
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 r40425 = 2.0;
        double r40426 = x;
        double r40427 = exp(r40426);
        double r40428 = -r40426;
        double r40429 = exp(r40428);
        double r40430 = r40427 + r40429;
        double r40431 = r40425 / r40430;
        return r40431;
}
↓
double f(double x) {
        double r40432 = 2.0;
        double r40433 = x;
        double r40434 = exp(r40433);
        double r40435 = -r40433;
        double r40436 = exp(r40435);
        double r40437 = r40434 + r40436;
        double r40438 = r40432 / r40437;
        return r40438;
}

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 2019303 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))