Average Error: 30.9 → 30.9
Time: 6.0s
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 r145102 = a;
        double r145103 = asin(r145102);
        double r145104 = fmod(r145102, r145103);
        double r145105 = atan(r145104);
        double r145106 = r145102 * r145102;
        double r145107 = pow(r145105, r145106);
        return r145107;
}
↓
double f(double a) {
        double r145108 = a;
        double r145109 = asin(r145108);
        double r145110 = fmod(r145108, r145109);
        double r145111 = atan(r145110);
        double r145112 = r145108 * r145108;
        double r145113 = pow(r145111, r145112);
        return r145113;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.9

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

  2. Final simplification30.9

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

Reproduce

herbie shell --seed 2020059 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))