Average Error: 0.0 → 0.0
Time: 6.9s
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 r3240040 = 2.0;
        double r3240041 = x;
        double r3240042 = exp(r3240041);
        double r3240043 = -r3240041;
        double r3240044 = exp(r3240043);
        double r3240045 = r3240042 + r3240044;
        double r3240046 = r3240040 / r3240045;
        return r3240046;
}

double f(double x) {
        double r3240047 = 2.0;
        double r3240048 = x;
        double r3240049 = exp(r3240048);
        double r3240050 = -r3240048;
        double r3240051 = exp(r3240050);
        double r3240052 = r3240049 + r3240051;
        double r3240053 = r3240047 / r3240052;
        return r3240053;
}

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 2019163 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))