Average Error: 0.0 → 0.0
Time: 36.4s
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 r58209 = 2.0;
        double r58210 = x;
        double r58211 = exp(r58210);
        double r58212 = -r58210;
        double r58213 = exp(r58212);
        double r58214 = r58211 + r58213;
        double r58215 = r58209 / r58214;
        return r58215;
}
↓
double f(double x) {
        double r58216 = 2.0;
        double r58217 = x;
        double r58218 = exp(r58217);
        double r58219 = -r58217;
        double r58220 = exp(r58219);
        double r58221 = r58218 + r58220;
        double r58222 = r58216 / r58221;
        return r58222;
}

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