Average Error: 31.2 → 31.2
Time: 24.3s
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 r4488321 = a;
        double r4488322 = asin(r4488321);
        double r4488323 = fmod(r4488321, r4488322);
        double r4488324 = atan(r4488323);
        double r4488325 = r4488321 * r4488321;
        double r4488326 = pow(r4488324, r4488325);
        return r4488326;
}
↓
double f(double a) {
        double r4488327 = a;
        double r4488328 = asin(r4488327);
        double r4488329 = fmod(r4488327, r4488328);
        double r4488330 = atan(r4488329);
        double r4488331 = r4488327 * r4488327;
        double r4488332 = pow(r4488330, r4488331);
        return r4488332;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2019144 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))