Average Error: 0.0 → 0.0
Time: 9.1s
Precision: 64
\[\frac{2}{e^{x} + e^{-x}}\]
↓
\[\frac{-2}{\frac{-1}{e^{x}} - e^{x}}\]
\frac{2}{e^{x} + e^{-x}}
↓
\frac{-2}{\frac{-1}{e^{x}} - e^{x}}
double f(double x) {
        double r1171477 = 2.0;
        double r1171478 = x;
        double r1171479 = exp(r1171478);
        double r1171480 = -r1171478;
        double r1171481 = exp(r1171480);
        double r1171482 = r1171479 + r1171481;
        double r1171483 = r1171477 / r1171482;
        return r1171483;
}
↓
double f(double x) {
        double r1171484 = -2.0;
        double r1171485 = -1.0;
        double r1171486 = x;
        double r1171487 = exp(r1171486);
        double r1171488 = r1171485 / r1171487;
        double r1171489 = r1171488 - r1171487;
        double r1171490 = r1171484 / r1171489;
        return r1171490;
}

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. Using strategy rm

  3. Applied frac-2neg0.0

    \[\leadsto \color{blue}{\frac{-2}{-\left(e^{x} + e^{-x}\right)}}\]

  4. Simplified0.0

    \[\leadsto \frac{\color{blue}{-2}}{-\left(e^{x} + e^{-x}\right)}\]

  5. Simplified0.0

    \[\leadsto \frac{-2}{\color{blue}{\frac{-1}{e^{x}} - e^{x}}}\]

  6. Final simplification0.0

    \[\leadsto \frac{-2}{\frac{-1}{e^{x}} - e^{x}}\]

Reproduce

herbie shell --seed 2019153 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))