Average Error: 0.0 → 0.0
Time: 863.0ms
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 r9368 = 2.0;
        double r9369 = x;
        double r9370 = exp(r9369);
        double r9371 = -r9369;
        double r9372 = exp(r9371);
        double r9373 = r9370 + r9372;
        double r9374 = r9368 / r9373;
        return r9374;
}
↓
double f(double x) {
        double r9375 = 2.0;
        double r9376 = x;
        double r9377 = exp(r9376);
        double r9378 = -r9376;
        double r9379 = exp(r9378);
        double r9380 = r9377 + r9379;
        double r9381 = r9375 / r9380;
        return r9381;
}

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 2019310 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))