Average Error: 0.0 → 0.0
Time: 4.8s
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 r27994 = 2.0;
        double r27995 = x;
        double r27996 = exp(r27995);
        double r27997 = -r27995;
        double r27998 = exp(r27997);
        double r27999 = r27996 + r27998;
        double r28000 = r27994 / r27999;
        return r28000;
}
↓
double f(double x) {
        double r28001 = 2.0;
        double r28002 = x;
        double r28003 = exp(r28002);
        double r28004 = -r28002;
        double r28005 = exp(r28004);
        double r28006 = r28003 + r28005;
        double r28007 = r28001 / r28006;
        return r28007;
}

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 2019208 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))