Average Error: 0.0 → 0.0
Time: 6.8s
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 r1552502 = 2.0;
        double r1552503 = x;
        double r1552504 = exp(r1552503);
        double r1552505 = -r1552503;
        double r1552506 = exp(r1552505);
        double r1552507 = r1552504 + r1552506;
        double r1552508 = r1552502 / r1552507;
        return r1552508;
}
↓
double f(double x) {
        double r1552509 = 2.0;
        double r1552510 = x;
        double r1552511 = exp(r1552510);
        double r1552512 = -r1552510;
        double r1552513 = exp(r1552512);
        double r1552514 = r1552511 + r1552513;
        double r1552515 = r1552509 / r1552514;
        return r1552515;
}

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