Average Error: 0.0 → 0.0
Time: 53.6s
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 r10206512 = 2.0;
        double r10206513 = x;
        double r10206514 = exp(r10206513);
        double r10206515 = -r10206513;
        double r10206516 = exp(r10206515);
        double r10206517 = r10206514 + r10206516;
        double r10206518 = r10206512 / r10206517;
        return r10206518;
}
↓
double f(double x) {
        double r10206519 = 2.0;
        double r10206520 = x;
        double r10206521 = exp(r10206520);
        double r10206522 = -r10206520;
        double r10206523 = exp(r10206522);
        double r10206524 = r10206521 + r10206523;
        double r10206525 = r10206519 / r10206524;
        return r10206525;
}

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 2019104 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))