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 r2429139 = 2.0;
        double r2429140 = x;
        double r2429141 = exp(r2429140);
        double r2429142 = -r2429140;
        double r2429143 = exp(r2429142);
        double r2429144 = r2429141 + r2429143;
        double r2429145 = r2429139 / r2429144;
        return r2429145;
}
↓
double f(double x) {
        double r2429146 = 2.0;
        double r2429147 = x;
        double r2429148 = exp(r2429147);
        double r2429149 = -r2429147;
        double r2429150 = exp(r2429149);
        double r2429151 = r2429148 + r2429150;
        double r2429152 = r2429146 / r2429151;
        return r2429152;
}

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