Average Error: 0.0 → 0.0
Time: 1.2s
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 r1540354 = 2.0;
        double r1540355 = x;
        double r1540356 = exp(r1540355);
        double r1540357 = -r1540355;
        double r1540358 = exp(r1540357);
        double r1540359 = r1540356 + r1540358;
        double r1540360 = r1540354 / r1540359;
        return r1540360;
}
↓
double f(double x) {
        double r1540361 = 2.0;
        double r1540362 = x;
        double r1540363 = exp(r1540362);
        double r1540364 = -r1540362;
        double r1540365 = exp(r1540364);
        double r1540366 = r1540363 + r1540365;
        double r1540367 = r1540361 / r1540366;
        return r1540367;
}

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 2019172 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))