Average Error: 0.0 → 0.0
Time: 5.3s
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 r809963 = 2.0;
        double r809964 = x;
        double r809965 = exp(r809964);
        double r809966 = -r809964;
        double r809967 = exp(r809966);
        double r809968 = r809965 + r809967;
        double r809969 = r809963 / r809968;
        return r809969;
}
↓
double f(double x) {
        double r809970 = 2.0;
        double r809971 = x;
        double r809972 = exp(r809971);
        double r809973 = -r809971;
        double r809974 = exp(r809973);
        double r809975 = r809972 + r809974;
        double r809976 = r809970 / r809975;
        return r809976;
}

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 2019154 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))