Average Error: 31.1 → 31.1
Time: 17.8s
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 r3422933 = a;
        double r3422934 = asin(r3422933);
        double r3422935 = fmod(r3422933, r3422934);
        double r3422936 = atan(r3422935);
        double r3422937 = r3422933 * r3422933;
        double r3422938 = pow(r3422936, r3422937);
        return r3422938;
}
↓
double f(double a) {
        double r3422939 = a;
        double r3422940 = asin(r3422939);
        double r3422941 = fmod(r3422939, r3422940);
        double r3422942 = atan(r3422941);
        double r3422943 = r3422939 * r3422939;
        double r3422944 = pow(r3422942, r3422943);
        return r3422944;
}

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 2019132 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))