Average Error: 31.1 → 31.1
Time: 19.5s
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 r91959 = a;
        double r91960 = asin(r91959);
        double r91961 = fmod(r91959, r91960);
        double r91962 = atan(r91961);
        double r91963 = r91959 * r91959;
        double r91964 = pow(r91962, r91963);
        return r91964;
}
↓
double f(double a) {
        double r91965 = a;
        double r91966 = asin(r91965);
        double r91967 = fmod(r91965, r91966);
        double r91968 = atan(r91967);
        double r91969 = r91965 * r91965;
        double r91970 = pow(r91968, r91969);
        return r91970;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.1

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

  2. Final simplification31.1

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

Reproduce

herbie shell --seed 2019305 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))