Average Error: 0.0 → 0.0
Time: 8.5s
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 r937207 = 2.0;
        double r937208 = x;
        double r937209 = exp(r937208);
        double r937210 = -r937208;
        double r937211 = exp(r937210);
        double r937212 = r937209 + r937211;
        double r937213 = r937207 / r937212;
        return r937213;
}
↓
double f(double x) {
        double r937214 = 2.0;
        double r937215 = x;
        double r937216 = exp(r937215);
        double r937217 = -r937215;
        double r937218 = exp(r937217);
        double r937219 = r937216 + r937218;
        double r937220 = r937214 / r937219;
        return r937220;
}

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 2019155 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))