Average Error: 0.0 → 0.0
Time: 8.4s
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 r43260 = 2.0;
        double r43261 = x;
        double r43262 = exp(r43261);
        double r43263 = -r43261;
        double r43264 = exp(r43263);
        double r43265 = r43262 + r43264;
        double r43266 = r43260 / r43265;
        return r43266;
}
↓
double f(double x) {
        double r43267 = 2.0;
        double r43268 = x;
        double r43269 = exp(r43268);
        double r43270 = -r43268;
        double r43271 = exp(r43270);
        double r43272 = r43269 + r43271;
        double r43273 = r43267 / r43272;
        return r43273;
}

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)))))