Average Error: 0.0 → 0.0
Time: 15.9s
Precision: 64
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]
↓
\[\left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]
double f(double c) {
        double r310583 = c;
        double r310584 = sinh(r310583);
        double r310585 = -2.9807307601812193e+165;
        double r310586 = 2.0;
        double r310587 = pow(r310585, r310586);
        double r310588 = r310583 - r310587;
        double r310589 = fmod(r310584, r310588);
        return r310589;
}
↓
double f(double c) {
        double r310590 = c;
        double r310591 = sinh(r310590);
        double r310592 = -2.9807307601812193e+165;
        double r310593 = r310592 * r310592;
        double r310594 = r310590 - r310593;
        double r310595 = fmod(r310591, r310594);
        return r310595;
}


\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)

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 2019101 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))