Average Error: 0.0 → 0.0
Time: 8.3s
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 r51634 = 2.0;
        double r51635 = x;
        double r51636 = exp(r51635);
        double r51637 = -r51635;
        double r51638 = exp(r51637);
        double r51639 = r51636 + r51638;
        double r51640 = r51634 / r51639;
        return r51640;
}
↓
double f(double x) {
        double r51641 = 2.0;
        double r51642 = x;
        double r51643 = exp(r51642);
        double r51644 = -r51642;
        double r51645 = exp(r51644);
        double r51646 = r51643 + r51645;
        double r51647 = r51641 / r51646;
        return r51647;
}

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 2019235 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))