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 r2370093 = 2.0;
        double r2370094 = x;
        double r2370095 = exp(r2370094);
        double r2370096 = -r2370094;
        double r2370097 = exp(r2370096);
        double r2370098 = r2370095 + r2370097;
        double r2370099 = r2370093 / r2370098;
        return r2370099;
}
↓
double f(double x) {
        double r2370100 = 2.0;
        double r2370101 = x;
        double r2370102 = exp(r2370101);
        double r2370103 = -r2370101;
        double r2370104 = exp(r2370103);
        double r2370105 = r2370102 + r2370104;
        double r2370106 = r2370100 / r2370105;
        return r2370106;
}

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 2019170 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))