Average Error: 0.0 → 0.0
Time: 7.5s
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 r45639 = 2.0;
        double r45640 = x;
        double r45641 = exp(r45640);
        double r45642 = -r45640;
        double r45643 = exp(r45642);
        double r45644 = r45641 + r45643;
        double r45645 = r45639 / r45644;
        return r45645;
}
↓
double f(double x) {
        double r45646 = 2.0;
        double r45647 = x;
        double r45648 = exp(r45647);
        double r45649 = -r45647;
        double r45650 = exp(r45649);
        double r45651 = r45648 + r45650;
        double r45652 = r45646 / r45651;
        return r45652;
}

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 2020046 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))