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 r64161 = 2.0;
        double r64162 = x;
        double r64163 = exp(r64162);
        double r64164 = -r64162;
        double r64165 = exp(r64164);
        double r64166 = r64163 + r64165;
        double r64167 = r64161 / r64166;
        return r64167;
}
↓
double f(double x) {
        double r64168 = 2.0;
        double r64169 = x;
        double r64170 = exp(r64169);
        double r64171 = -r64169;
        double r64172 = exp(r64171);
        double r64173 = r64170 + r64172;
        double r64174 = r64168 / r64173;
        return r64174;
}

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