Average Error: 0.0 → 0.0
Time: 7.2s
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 r53273 = 2.0;
        double r53274 = x;
        double r53275 = exp(r53274);
        double r53276 = -r53274;
        double r53277 = exp(r53276);
        double r53278 = r53275 + r53277;
        double r53279 = r53273 / r53278;
        return r53279;
}

double f(double x) {
        double r53280 = 2.0;
        double r53281 = x;
        double r53282 = exp(r53281);
        double r53283 = -r53281;
        double r53284 = exp(r53283);
        double r53285 = r53282 + r53284;
        double r53286 = r53280 / r53285;
        return r53286;
}

Error

Bits error versus x

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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 2019195 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))