Average Error: 0.0 → 0.0
Time: 785.0ms
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 r53967 = 2.0;
        double r53968 = x;
        double r53969 = exp(r53968);
        double r53970 = -r53968;
        double r53971 = exp(r53970);
        double r53972 = r53969 + r53971;
        double r53973 = r53967 / r53972;
        return r53973;
}
↓
double f(double x) {
        double r53974 = 2.0;
        double r53975 = x;
        double r53976 = exp(r53975);
        double r53977 = -r53975;
        double r53978 = exp(r53977);
        double r53979 = r53976 + r53978;
        double r53980 = r53974 / r53979;
        return r53980;
}

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