Average Error: 30.8 → 30.8
Time: 17.5s
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 r1666173 = a;
        double r1666174 = asin(r1666173);
        double r1666175 = fmod(r1666173, r1666174);
        double r1666176 = atan(r1666175);
        double r1666177 = r1666173 * r1666173;
        double r1666178 = pow(r1666176, r1666177);
        return r1666178;
}
↓
double f(double a) {
        double r1666179 = a;
        double r1666180 = asin(r1666179);
        double r1666181 = fmod(r1666179, r1666180);
        double r1666182 = atan(r1666181);
        double r1666183 = r1666179 * r1666179;
        double r1666184 = pow(r1666182, r1666183);
        return r1666184;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.8

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

  2. Final simplification30.8

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

Reproduce

herbie shell --seed 2019153 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))