Average Error: 0.0 → 0.0
Time: 9.9s
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 r8974497 = 2.0;
        double r8974498 = x;
        double r8974499 = exp(r8974498);
        double r8974500 = -r8974498;
        double r8974501 = exp(r8974500);
        double r8974502 = r8974499 + r8974501;
        double r8974503 = r8974497 / r8974502;
        return r8974503;
}
↓
double f(double x) {
        double r8974504 = 2.0;
        double r8974505 = x;
        double r8974506 = exp(r8974505);
        double r8974507 = -r8974505;
        double r8974508 = exp(r8974507);
        double r8974509 = r8974506 + r8974508;
        double r8974510 = r8974504 / r8974509;
        return r8974510;
}

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 2019125 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))