Average Error: 31.7 → 31.7
Time: 19.8s
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 r4740948 = a;
        double r4740949 = asin(r4740948);
        double r4740950 = fmod(r4740948, r4740949);
        double r4740951 = atan(r4740950);
        double r4740952 = r4740948 * r4740948;
        double r4740953 = pow(r4740951, r4740952);
        return r4740953;
}
↓
double f(double a) {
        double r4740954 = a;
        double r4740955 = asin(r4740954);
        double r4740956 = fmod(r4740954, r4740955);
        double r4740957 = atan(r4740956);
        double r4740958 = r4740954 * r4740954;
        double r4740959 = pow(r4740957, r4740958);
        return r4740959;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.7

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

  2. Final simplification31.7

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

Reproduce

herbie shell --seed 2019172 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))