Average Error: 0.0 → 0.0
Time: 8.6s
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 r51139 = 2.0;
        double r51140 = x;
        double r51141 = exp(r51140);
        double r51142 = -r51140;
        double r51143 = exp(r51142);
        double r51144 = r51141 + r51143;
        double r51145 = r51139 / r51144;
        return r51145;
}
↓
double f(double x) {
        double r51146 = 2.0;
        double r51147 = x;
        double r51148 = exp(r51147);
        double r51149 = -r51147;
        double r51150 = exp(r51149);
        double r51151 = r51148 + r51150;
        double r51152 = r51146 / r51151;
        return r51152;
}

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