Average Error: 0.0 → 0.0
Time: 13.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sinh y}{y} \cdot \cos x\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\sinh y}{y} \cdot \cos x
double f(double x, double y) {
        double r73879 = x;
        double r73880 = cos(r73879);
        double r73881 = y;
        double r73882 = sinh(r73881);
        double r73883 = r73882 / r73881;
        double r73884 = r73880 * r73883;
        return r73884;
}
↓
double f(double x, double y) {
        double r73885 = y;
        double r73886 = sinh(r73885);
        double r73887 = r73886 / r73885;
        double r73888 = x;
        double r73889 = cos(r73888);
        double r73890 = r73887 * r73889;
        return r73890;
}

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

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

  3. Applied *-commutative0.0

    \[\leadsto \color{blue}{\frac{\sinh y}{y} \cdot \cos x}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019291 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))