Average Error: 0.0 → 0.0
Time: 3.2s
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 r40931 = 2.0;
        double r40932 = x;
        double r40933 = exp(r40932);
        double r40934 = -r40932;
        double r40935 = exp(r40934);
        double r40936 = r40933 + r40935;
        double r40937 = r40931 / r40936;
        return r40937;
}
↓
double f(double x) {
        double r40938 = 2.0;
        double r40939 = x;
        double r40940 = exp(r40939);
        double r40941 = -r40939;
        double r40942 = exp(r40941);
        double r40943 = r40940 + r40942;
        double r40944 = r40938 / r40943;
        return r40944;
}

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 2020002 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))