Average Error: 0.0 → 0.0
Time: 7.1s
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 r2680973 = 2.0;
        double r2680974 = x;
        double r2680975 = exp(r2680974);
        double r2680976 = -r2680974;
        double r2680977 = exp(r2680976);
        double r2680978 = r2680975 + r2680977;
        double r2680979 = r2680973 / r2680978;
        return r2680979;
}
↓
double f(double x) {
        double r2680980 = 2.0;
        double r2680981 = x;
        double r2680982 = exp(r2680981);
        double r2680983 = -r2680981;
        double r2680984 = exp(r2680983);
        double r2680985 = r2680982 + r2680984;
        double r2680986 = r2680980 / r2680985;
        return r2680986;
}

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 2019163 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))