Average Error: 0.0 → 0.0
Time: 617.0ms
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 r63434 = 2.0;
        double r63435 = x;
        double r63436 = exp(r63435);
        double r63437 = -r63435;
        double r63438 = exp(r63437);
        double r63439 = r63436 + r63438;
        double r63440 = r63434 / r63439;
        return r63440;
}

double f(double x) {
        double r63441 = 2.0;
        double r63442 = x;
        double r63443 = exp(r63442);
        double r63444 = -r63442;
        double r63445 = exp(r63444);
        double r63446 = r63443 + r63445;
        double r63447 = r63441 / r63446;
        return r63447;
}

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 2020001 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))