Average Error: 0.0 → 0.0
Time: 21.2s
Precision: 64
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]
↓
\[\left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]
\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)
↓
\left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)
double f(double c) {
        double r1104859 = c;
        double r1104860 = sinh(r1104859);
        double r1104861 = -2.9807307601812193e+165;
        double r1104862 = 2.0;
        double r1104863 = pow(r1104861, r1104862);
        double r1104864 = r1104859 - r1104863;
        double r1104865 = fmod(r1104860, r1104864);
        return r1104865;
}
↓
double f(double c) {
        double r1104866 = c;
        double r1104867 = sinh(r1104866);
        double r1104868 = -2.9807307601812193e+165;
        double r1104869 = r1104868 * r1104868;
        double r1104870 = r1104866 - r1104869;
        double r1104871 = fmod(r1104867, r1104870);
        return r1104871;
}

Error

Bits error versus c

Derivation

  1. Initial program 0.0

    \[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]

Reproduce

herbie shell --seed 2019168 
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))