Average Error: 31.3 → 31.3
Time: 15.9s
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 r19123559 = a;
        double r19123560 = asin(r19123559);
        double r19123561 = fmod(r19123559, r19123560);
        double r19123562 = atan(r19123561);
        double r19123563 = r19123559 * r19123559;
        double r19123564 = pow(r19123562, r19123563);
        return r19123564;
}
↓
double f(double a) {
        double r19123565 = a;
        double r19123566 = asin(r19123565);
        double r19123567 = fmod(r19123565, r19123566);
        double r19123568 = atan(r19123567);
        double r19123569 = r19123565 * r19123565;
        double r19123570 = pow(r19123568, r19123569);
        return r19123570;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.3

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

  2. Final simplification31.3

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

Reproduce

herbie shell --seed 2019124 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))