Average Error: 0.0 → 0.0
Time: 779.0ms
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 r58108 = 2.0;
        double r58109 = x;
        double r58110 = exp(r58109);
        double r58111 = -r58109;
        double r58112 = exp(r58111);
        double r58113 = r58110 + r58112;
        double r58114 = r58108 / r58113;
        return r58114;
}
↓
double f(double x) {
        double r58115 = 2.0;
        double r58116 = x;
        double r58117 = exp(r58116);
        double r58118 = -r58116;
        double r58119 = exp(r58118);
        double r58120 = r58117 + r58119;
        double r58121 = r58115 / r58120;
        return r58121;
}

Error

Bits error versus x

Try it out

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))