Average Error: 31.0 → 31.0
Time: 9.7s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
↓
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
double f(double a) {
        double r112542 = a;
        double r112543 = asin(r112542);
        double r112544 = fmod(r112542, r112543);
        double r112545 = atan(r112544);
        double r112546 = r112542 * r112542;
        double r112547 = pow(r112545, r112546);
        return r112547;
}
↓
double f(double a) {
        double r112548 = a;
        double r112549 = asin(r112548);
        double r112550 = fmod(r112548, r112549);
        double r112551 = atan(r112550);
        double r112552 = r112548 * r112548;
        double r112553 = pow(r112551, r112552);
        return r112553;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

    \[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

  2. Final simplification31.0

    \[\leadsto {\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

Reproduce

herbie shell --seed 2019351 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))