Average Error: 0.0 → 0.0
Time: 19.1s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}
double f(double x, double y) {
        double r6401100 = x;
        double r6401101 = sin(r6401100);
        double r6401102 = y;
        double r6401103 = sinh(r6401102);
        double r6401104 = r6401103 / r6401102;
        double r6401105 = r6401101 * r6401104;
        return r6401105;
}
↓
double f(double x, double y) {
        double r6401106 = x;
        double r6401107 = sin(r6401106);
        double r6401108 = 1.0;
        double r6401109 = y;
        double r6401110 = sinh(r6401109);
        double r6401111 = r6401110 / r6401109;
        double r6401112 = r6401108 / r6401111;
        double r6401113 = r6401107 / r6401112;
        return r6401113;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \sin x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]
  4. Using strategy rm

  5. Applied un-div-inv0.0

    \[\leadsto \color{blue}{\frac{\sin x}{\frac{y}{\sinh y}}}\]
  6. Using strategy rm

  7. Applied clear-num0.0

    \[\leadsto \frac{\sin x}{\color{blue}{\frac{1}{\frac{\sinh y}{y}}}}\]

  8. Final simplification0.0

    \[\leadsto \frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))