Average Error: 0.0 → 0.0
Time: 4.5s
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 r1584119 = 2.0;
        double r1584120 = x;
        double r1584121 = exp(r1584120);
        double r1584122 = -r1584120;
        double r1584123 = exp(r1584122);
        double r1584124 = r1584121 + r1584123;
        double r1584125 = r1584119 / r1584124;
        return r1584125;
}
↓
double f(double x) {
        double r1584126 = 2.0;
        double r1584127 = x;
        double r1584128 = exp(r1584127);
        double r1584129 = -r1584127;
        double r1584130 = exp(r1584129);
        double r1584131 = r1584128 + r1584130;
        double r1584132 = r1584126 / r1584131;
        return r1584132;
}

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 2019133 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))