Average Error: 31.0 → 31.0
Time: 17.7s
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 r1703411 = a;
        double r1703412 = asin(r1703411);
        double r1703413 = fmod(r1703411, r1703412);
        double r1703414 = atan(r1703413);
        double r1703415 = r1703411 * r1703411;
        double r1703416 = pow(r1703414, r1703415);
        return r1703416;
}
↓
double f(double a) {
        double r1703417 = a;
        double r1703418 = asin(r1703417);
        double r1703419 = fmod(r1703417, r1703418);
        double r1703420 = atan(r1703419);
        double r1703421 = r1703417 * r1703417;
        double r1703422 = pow(r1703420, r1703421);
        return r1703422;
}

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 2019154 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))