Average Error: 0.0 → 0.0
Time: 1.3s
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 r62088 = 2.0;
        double r62089 = x;
        double r62090 = exp(r62089);
        double r62091 = -r62089;
        double r62092 = exp(r62091);
        double r62093 = r62090 + r62092;
        double r62094 = r62088 / r62093;
        return r62094;
}
↓
double f(double x) {
        double r62095 = 2.0;
        double r62096 = x;
        double r62097 = exp(r62096);
        double r62098 = -r62096;
        double r62099 = exp(r62098);
        double r62100 = r62097 + r62099;
        double r62101 = r62095 / r62100;
        return r62101;
}

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 2019356 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))