Average Error: 0.0 → 0.0
Time: 1.4s
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 r1820041 = 2.0;
        double r1820042 = x;
        double r1820043 = exp(r1820042);
        double r1820044 = -r1820042;
        double r1820045 = exp(r1820044);
        double r1820046 = r1820043 + r1820045;
        double r1820047 = r1820041 / r1820046;
        return r1820047;
}
↓
double f(double x) {
        double r1820048 = 2.0;
        double r1820049 = x;
        double r1820050 = exp(r1820049);
        double r1820051 = -r1820049;
        double r1820052 = exp(r1820051);
        double r1820053 = r1820050 + r1820052;
        double r1820054 = r1820048 / r1820053;
        return r1820054;
}

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 2019142 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))