Average Error: 0.0 → 0.0
Time: 1.3m
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 r7587166 = x;
        double r7587167 = cos(r7587166);
        double r7587168 = y;
        double r7587169 = sinh(r7587168);
        double r7587170 = r7587169 / r7587168;
        double r7587171 = r7587167 * r7587170;
        return r7587171;
}
↓
double f(double x, double y) {
        double r7587172 = y;
        double r7587173 = sinh(r7587172);
        double r7587174 = r7587173 / r7587172;
        double r7587175 = x;
        double r7587176 = cos(r7587175);
        double r7587177 = r7587174 * r7587176;
        return r7587177;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))