Average Error: 0.0 → 0.0
Time: 2.7s
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 r71232 = 2.0;
        double r71233 = x;
        double r71234 = exp(r71233);
        double r71235 = -r71233;
        double r71236 = exp(r71235);
        double r71237 = r71234 + r71236;
        double r71238 = r71232 / r71237;
        return r71238;
}
↓
double f(double x) {
        double r71239 = 2.0;
        double r71240 = x;
        double r71241 = exp(r71240);
        double r71242 = -r71240;
        double r71243 = exp(r71242);
        double r71244 = r71241 + r71243;
        double r71245 = r71239 / r71244;
        return r71245;
}

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 2019352 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))