Average Error: 0.0 → 0.0
Time: 7.5s
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 r2305934 = 2.0;
        double r2305935 = x;
        double r2305936 = exp(r2305935);
        double r2305937 = -r2305935;
        double r2305938 = exp(r2305937);
        double r2305939 = r2305936 + r2305938;
        double r2305940 = r2305934 / r2305939;
        return r2305940;
}
↓
double f(double x) {
        double r2305941 = 2.0;
        double r2305942 = x;
        double r2305943 = exp(r2305942);
        double r2305944 = -r2305942;
        double r2305945 = exp(r2305944);
        double r2305946 = r2305943 + r2305945;
        double r2305947 = r2305941 / r2305946;
        return r2305947;
}

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 2019163 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))