Average Error: 0.0 → 0.0
Time: 4.7s
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 r8592 = 2.0;
        double r8593 = x;
        double r8594 = exp(r8593);
        double r8595 = -r8593;
        double r8596 = exp(r8595);
        double r8597 = r8594 + r8596;
        double r8598 = r8592 / r8597;
        return r8598;
}
↓
double f(double x) {
        double r8599 = 2.0;
        double r8600 = x;
        double r8601 = exp(r8600);
        double r8602 = -r8600;
        double r8603 = exp(r8602);
        double r8604 = r8601 + r8603;
        double r8605 = r8599 / r8604;
        return r8605;
}

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 2020045 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))