Average Error: 0.0 → 0.0
Time: 2.4s
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 r37463 = 2.0;
        double r37464 = x;
        double r37465 = exp(r37464);
        double r37466 = -r37464;
        double r37467 = exp(r37466);
        double r37468 = r37465 + r37467;
        double r37469 = r37463 / r37468;
        return r37469;
}
↓
double f(double x) {
        double r37470 = 2.0;
        double r37471 = x;
        double r37472 = exp(r37471);
        double r37473 = -r37471;
        double r37474 = exp(r37473);
        double r37475 = r37472 + r37474;
        double r37476 = r37470 / r37475;
        return r37476;
}

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 2020059 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))