Average Error: 0.0 → 0.0
Time: 6.5s
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 r2880703 = 2.0;
        double r2880704 = x;
        double r2880705 = exp(r2880704);
        double r2880706 = -r2880704;
        double r2880707 = exp(r2880706);
        double r2880708 = r2880705 + r2880707;
        double r2880709 = r2880703 / r2880708;
        return r2880709;
}

double f(double x) {
        double r2880710 = 2.0;
        double r2880711 = x;
        double r2880712 = exp(r2880711);
        double r2880713 = -r2880711;
        double r2880714 = exp(r2880713);
        double r2880715 = r2880712 + r2880714;
        double r2880716 = r2880710 / r2880715;
        return r2880716;
}

Error

Bits error versus x

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Results

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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 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))