Average Error: 0.0 → 0.0
Time: 3.7m
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 r17867187 = 2.0;
        double r17867188 = x;
        double r17867189 = exp(r17867188);
        double r17867190 = -r17867188;
        double r17867191 = exp(r17867190);
        double r17867192 = r17867189 + r17867191;
        double r17867193 = r17867187 / r17867192;
        return r17867193;
}
↓
double f(double x) {
        double r17867194 = 2.0;
        double r17867195 = x;
        double r17867196 = exp(r17867195);
        double r17867197 = -r17867195;
        double r17867198 = exp(r17867197);
        double r17867199 = r17867196 + r17867198;
        double r17867200 = r17867194 / r17867199;
        return r17867200;
}

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 2019135 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))