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 r64035 = 2.0;
        double r64036 = x;
        double r64037 = exp(r64036);
        double r64038 = -r64036;
        double r64039 = exp(r64038);
        double r64040 = r64037 + r64039;
        double r64041 = r64035 / r64040;
        return r64041;
}
↓
double f(double x) {
        double r64042 = 2.0;
        double r64043 = x;
        double r64044 = exp(r64043);
        double r64045 = -r64043;
        double r64046 = exp(r64045);
        double r64047 = r64044 + r64046;
        double r64048 = r64042 / r64047;
        return r64048;
}

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 2020064 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))