Average Error: 0.0 → 0.0
Time: 619.0ms
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 r69074 = 2.0;
        double r69075 = x;
        double r69076 = exp(r69075);
        double r69077 = -r69075;
        double r69078 = exp(r69077);
        double r69079 = r69076 + r69078;
        double r69080 = r69074 / r69079;
        return r69080;
}
↓
double f(double x) {
        double r69081 = 2.0;
        double r69082 = x;
        double r69083 = exp(r69082);
        double r69084 = -r69082;
        double r69085 = exp(r69084);
        double r69086 = r69083 + r69085;
        double r69087 = r69081 / r69086;
        return r69087;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))