Average Error: 0.0 → 0.0
Time: 1.1s
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 r43437 = 2.0;
        double r43438 = x;
        double r43439 = exp(r43438);
        double r43440 = -r43438;
        double r43441 = exp(r43440);
        double r43442 = r43439 + r43441;
        double r43443 = r43437 / r43442;
        return r43443;
}
↓
double f(double x) {
        double r43444 = 2.0;
        double r43445 = x;
        double r43446 = exp(r43445);
        double r43447 = -r43445;
        double r43448 = exp(r43447);
        double r43449 = r43446 + r43448;
        double r43450 = r43444 / r43449;
        return r43450;
}

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 2019326 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))