Average Error: 31.0 → 31.0
Time: 20.9s
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 r4071310 = a;
        double r4071311 = asin(r4071310);
        double r4071312 = fmod(r4071310, r4071311);
        double r4071313 = atan(r4071312);
        double r4071314 = r4071310 * r4071310;
        double r4071315 = pow(r4071313, r4071314);
        return r4071315;
}
↓
double f(double a) {
        double r4071316 = a;
        double r4071317 = asin(r4071316);
        double r4071318 = fmod(r4071316, r4071317);
        double r4071319 = atan(r4071318);
        double r4071320 = r4071316 * r4071316;
        double r4071321 = pow(r4071319, r4071320);
        return r4071321;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

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

  2. Final simplification31.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))