Average Error: 31.3 → 31.3
Time: 16.2s
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 r10346442 = a;
        double r10346443 = asin(r10346442);
        double r10346444 = fmod(r10346442, r10346443);
        double r10346445 = atan(r10346444);
        double r10346446 = r10346442 * r10346442;
        double r10346447 = pow(r10346445, r10346446);
        return r10346447;
}
↓
double f(double a) {
        double r10346448 = a;
        double r10346449 = asin(r10346448);
        double r10346450 = fmod(r10346448, r10346449);
        double r10346451 = atan(r10346450);
        double r10346452 = r10346448 * r10346448;
        double r10346453 = pow(r10346451, r10346452);
        return r10346453;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.3

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

  2. Final simplification31.3

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

Reproduce

herbie shell --seed 2019124 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))