Average Error: 30.8 → 30.8
Time: 19.3s
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 r3419347 = a;
        double r3419348 = asin(r3419347);
        double r3419349 = fmod(r3419347, r3419348);
        double r3419350 = atan(r3419349);
        double r3419351 = r3419347 * r3419347;
        double r3419352 = pow(r3419350, r3419351);
        return r3419352;
}
↓
double f(double a) {
        double r3419353 = a;
        double r3419354 = asin(r3419353);
        double r3419355 = fmod(r3419353, r3419354);
        double r3419356 = atan(r3419355);
        double r3419357 = r3419353 * r3419353;
        double r3419358 = pow(r3419356, r3419357);
        return r3419358;
}

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 2019134 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))