Average Error: 0.0 → 0.0
Time: 4.9s
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 r10014 = 2.0;
        double r10015 = x;
        double r10016 = exp(r10015);
        double r10017 = -r10015;
        double r10018 = exp(r10017);
        double r10019 = r10016 + r10018;
        double r10020 = r10014 / r10019;
        return r10020;
}
↓
double f(double x) {
        double r10021 = 2.0;
        double r10022 = x;
        double r10023 = exp(r10022);
        double r10024 = -r10022;
        double r10025 = exp(r10024);
        double r10026 = r10023 + r10025;
        double r10027 = r10021 / r10026;
        return r10027;
}

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)))))