Average Error: 0.0 → 0.0
Time: 7.3s
Precision: 64
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)\]
↓
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)\]
\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)
↓
\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)
double f(double c) {
        double r452 = c;
        double r453 = sinh(r452);
        double r454 = -2.9807307601812193e+165;
        double r455 = 2.0;
        double r456 = pow(r454, r455);
        double r457 = r452 - r456;
        double r458 = fmod(r453, r457);
        return r458;
}
↓
double f(double c) {
        double r459 = c;
        double r460 = sinh(r459);
        double r461 = -2.9807307601812193e+165;
        double r462 = 2.0;
        double r463 = pow(r461, r462);
        double r464 = r459 - r463;
        double r465 = fmod(r460, r464);
        return r465;
}

Error

Bits error versus c

Derivation

  1. Initial program 0.0

    \[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\sinh c\right) \bmod \left(c - {\left( -2.98073076018121927 \cdot 10^{165} \right)}^{2}\right)\right)\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 014"
  :precision binary64
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))