Average Error: 0.0 → 0.0
Time: 6.7s
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 r63488 = 2.0;
        double r63489 = x;
        double r63490 = exp(r63489);
        double r63491 = -r63489;
        double r63492 = exp(r63491);
        double r63493 = r63490 + r63492;
        double r63494 = r63488 / r63493;
        return r63494;
}
↓
double f(double x) {
        double r63495 = 2.0;
        double r63496 = x;
        double r63497 = exp(r63496);
        double r63498 = -r63496;
        double r63499 = exp(r63498);
        double r63500 = r63497 + r63499;
        double r63501 = r63495 / r63500;
        return r63501;
}

Error

Bits error versus x

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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 2019194 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))