Average Error: 0.0 → 0.0
Time: 6.6s
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 r45038 = 2.0;
        double r45039 = x;
        double r45040 = exp(r45039);
        double r45041 = -r45039;
        double r45042 = exp(r45041);
        double r45043 = r45040 + r45042;
        double r45044 = r45038 / r45043;
        return r45044;
}
↓
double f(double x) {
        double r45045 = 2.0;
        double r45046 = x;
        double r45047 = exp(r45046);
        double r45048 = -r45046;
        double r45049 = exp(r45048);
        double r45050 = r45047 + r45049;
        double r45051 = r45045 / r45050;
        return r45051;
}

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 2019194 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))