Average Error: 0.0 → 0.0
Time: 12.9s
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 r1612992 = 2.0;
        double r1612993 = x;
        double r1612994 = exp(r1612993);
        double r1612995 = -r1612993;
        double r1612996 = exp(r1612995);
        double r1612997 = r1612994 + r1612996;
        double r1612998 = r1612992 / r1612997;
        return r1612998;
}
↓
double f(double x) {
        double r1612999 = 2.0;
        double r1613000 = x;
        double r1613001 = exp(r1613000);
        double r1613002 = -r1613000;
        double r1613003 = exp(r1613002);
        double r1613004 = r1613001 + r1613003;
        double r1613005 = r1612999 / r1613004;
        return r1613005;
}

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 2019141 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))