Average Error: 0.0 → 0.0
Time: 18.7s
Precision: 64
\[\frac{2.0}{e^{x} + e^{-x}}\]
↓
\[\frac{2.0}{e^{x} + e^{-x}}\]
\frac{2.0}{e^{x} + e^{-x}}
↓
\frac{2.0}{e^{x} + e^{-x}}
double f(double x) {
        double r2437141 = 2.0;
        double r2437142 = x;
        double r2437143 = exp(r2437142);
        double r2437144 = -r2437142;
        double r2437145 = exp(r2437144);
        double r2437146 = r2437143 + r2437145;
        double r2437147 = r2437141 / r2437146;
        return r2437147;
}
↓
double f(double x) {
        double r2437148 = 2.0;
        double r2437149 = x;
        double r2437150 = exp(r2437149);
        double r2437151 = -r2437149;
        double r2437152 = exp(r2437151);
        double r2437153 = r2437150 + r2437152;
        double r2437154 = r2437148 / r2437153;
        return r2437154;
}

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{2.0}{e^{x} + e^{-x}}\]

  2. Final simplification0.0

    \[\leadsto \frac{2.0}{e^{x} + e^{-x}}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2.0 (+ (exp x) (exp (- x)))))