Average Error: 0.0 → 0.0
Time: 35.0s
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 r67944 = 2.0;
        double r67945 = x;
        double r67946 = exp(r67945);
        double r67947 = -r67945;
        double r67948 = exp(r67947);
        double r67949 = r67946 + r67948;
        double r67950 = r67944 / r67949;
        return r67950;
}

double f(double x) {
        double r67951 = 2.0;
        double r67952 = x;
        double r67953 = exp(r67952);
        double r67954 = -r67952;
        double r67955 = exp(r67954);
        double r67956 = r67953 + r67955;
        double r67957 = r67951 / r67956;
        return r67957;
}

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