Average Error: 31.2 → 31.2
Time: 20.1s
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 r84958 = a;
        double r84959 = asin(r84958);
        double r84960 = fmod(r84958, r84959);
        double r84961 = atan(r84960);
        double r84962 = r84958 * r84958;
        double r84963 = pow(r84961, r84962);
        return r84963;
}
↓
double f(double a) {
        double r84964 = a;
        double r84965 = asin(r84964);
        double r84966 = fmod(r84964, r84965);
        double r84967 = atan(r84966);
        double r84968 = r84964 * r84964;
        double r84969 = pow(r84967, r84968);
        return r84969;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2019235 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))