Average Error: 0.0 → 0.0
Time: 12.2s
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 r2757632 = 2.0;
        double r2757633 = x;
        double r2757634 = exp(r2757633);
        double r2757635 = -r2757633;
        double r2757636 = exp(r2757635);
        double r2757637 = r2757634 + r2757636;
        double r2757638 = r2757632 / r2757637;
        return r2757638;
}
↓
double f(double x) {
        double r2757639 = 2.0;
        double r2757640 = x;
        double r2757641 = exp(r2757640);
        double r2757642 = -r2757640;
        double r2757643 = exp(r2757642);
        double r2757644 = r2757641 + r2757643;
        double r2757645 = r2757639 / r2757644;
        return r2757645;
}

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 2019169 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))