Average Error: 0.0 → 0.0
Time: 7.8s
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 r2305931 = 2.0;
        double r2305932 = x;
        double r2305933 = exp(r2305932);
        double r2305934 = -r2305932;
        double r2305935 = exp(r2305934);
        double r2305936 = r2305933 + r2305935;
        double r2305937 = r2305931 / r2305936;
        return r2305937;
}
↓
double f(double x) {
        double r2305938 = 2.0;
        double r2305939 = x;
        double r2305940 = exp(r2305939);
        double r2305941 = -r2305939;
        double r2305942 = exp(r2305941);
        double r2305943 = r2305940 + r2305942;
        double r2305944 = r2305938 / r2305943;
        return r2305944;
}

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 2019163 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))