Average Error: 31.6 → 31.6
Time: 25.0s
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 r3591494 = a;
        double r3591495 = asin(r3591494);
        double r3591496 = fmod(r3591494, r3591495);
        double r3591497 = atan(r3591496);
        double r3591498 = r3591494 * r3591494;
        double r3591499 = pow(r3591497, r3591498);
        return r3591499;
}
↓
double f(double a) {
        double r3591500 = a;
        double r3591501 = asin(r3591500);
        double r3591502 = fmod(r3591500, r3591501);
        double r3591503 = atan(r3591502);
        double r3591504 = r3591500 * r3591500;
        double r3591505 = pow(r3591503, r3591504);
        return r3591505;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.6

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

  2. Final simplification31.6

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

Reproduce

herbie shell --seed 2019165 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))