Average Error: 31.1 → 31.1
Time: 23.1s
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 r4165463 = a;
        double r4165464 = asin(r4165463);
        double r4165465 = fmod(r4165463, r4165464);
        double r4165466 = atan(r4165465);
        double r4165467 = r4165463 * r4165463;
        double r4165468 = pow(r4165466, r4165467);
        return r4165468;
}
↓
double f(double a) {
        double r4165469 = a;
        double r4165470 = asin(r4165469);
        double r4165471 = fmod(r4165469, r4165470);
        double r4165472 = atan(r4165471);
        double r4165473 = r4165469 * r4165469;
        double r4165474 = pow(r4165472, r4165473);
        return r4165474;
}

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 2019139 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))