Average Error: 0.0 → 0.0
Time: 19.8s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
\[\frac{\cos x}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
\frac{\cos x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r11343256 = x;
        double r11343257 = cos(r11343256);
        double r11343258 = y;
        double r11343259 = sinh(r11343258);
        double r11343260 = r11343259 / r11343258;
        double r11343261 = r11343257 * r11343260;
        return r11343261;
}

double f(double x, double y) {
        double r11343262 = x;
        double r11343263 = cos(r11343262);
        double r11343264 = y;
        double r11343265 = sinh(r11343264);
        double r11343266 = r11343264 / r11343265;
        double r11343267 = r11343263 / r11343266;
        return r11343267;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\cos x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm
  3. Applied clear-num0.0

    \[\leadsto \cos x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]
  4. Applied un-div-inv0.0

    \[\leadsto \color{blue}{\frac{\cos x}{\frac{y}{\sinh y}}}\]
  5. Final simplification0.0

    \[\leadsto \frac{\cos x}{\frac{y}{\sinh y}}\]

Reproduce

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