Average Error: 0.0 → 0.0
Time: 1.6s
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 r57088 = 2.0;
        double r57089 = x;
        double r57090 = exp(r57089);
        double r57091 = -r57089;
        double r57092 = exp(r57091);
        double r57093 = r57090 + r57092;
        double r57094 = r57088 / r57093;
        return r57094;
}
↓
double f(double x) {
        double r57095 = 2.0;
        double r57096 = x;
        double r57097 = exp(r57096);
        double r57098 = -r57096;
        double r57099 = exp(r57098);
        double r57100 = r57097 + r57099;
        double r57101 = r57095 / r57100;
        return r57101;
}

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 2020056 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))