Average Error: 0.0 → 0.0
Time: 1.2s
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 r71376 = 2.0;
        double r71377 = x;
        double r71378 = exp(r71377);
        double r71379 = -r71377;
        double r71380 = exp(r71379);
        double r71381 = r71378 + r71380;
        double r71382 = r71376 / r71381;
        return r71382;
}
↓
double f(double x) {
        double r71383 = 2.0;
        double r71384 = x;
        double r71385 = exp(r71384);
        double r71386 = -r71384;
        double r71387 = exp(r71386);
        double r71388 = r71385 + r71387;
        double r71389 = r71383 / r71388;
        return r71389;
}

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 2020065 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))