Average Error: 30.8 → 30.8
Time: 22.0s
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 r2949648 = a;
        double r2949649 = asin(r2949648);
        double r2949650 = fmod(r2949648, r2949649);
        double r2949651 = atan(r2949650);
        double r2949652 = r2949648 * r2949648;
        double r2949653 = pow(r2949651, r2949652);
        return r2949653;
}
↓
double f(double a) {
        double r2949654 = a;
        double r2949655 = asin(r2949654);
        double r2949656 = fmod(r2949654, r2949655);
        double r2949657 = atan(r2949656);
        double r2949658 = r2949654 * r2949654;
        double r2949659 = pow(r2949657, r2949658);
        return r2949659;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.8

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

  2. Final simplification30.8

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

Reproduce

herbie shell --seed 2019151 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))