Average Error: 30.6 → 30.6
Time: 18.8s
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 r73514 = a;
        double r73515 = asin(r73514);
        double r73516 = fmod(r73514, r73515);
        double r73517 = atan(r73516);
        double r73518 = r73514 * r73514;
        double r73519 = pow(r73517, r73518);
        return r73519;
}
↓
double f(double a) {
        double r73520 = a;
        double r73521 = asin(r73520);
        double r73522 = fmod(r73520, r73521);
        double r73523 = atan(r73522);
        double r73524 = r73520 * r73520;
        double r73525 = pow(r73523, r73524);
        return r73525;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019195 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))