Average Error: 31.3 → 31.3
Time: 16.5s
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 r2887279 = a;
        double r2887280 = asin(r2887279);
        double r2887281 = fmod(r2887279, r2887280);
        double r2887282 = atan(r2887281);
        double r2887283 = r2887279 * r2887279;
        double r2887284 = pow(r2887282, r2887283);
        return r2887284;
}
↓
double f(double a) {
        double r2887285 = a;
        double r2887286 = asin(r2887285);
        double r2887287 = fmod(r2887285, r2887286);
        double r2887288 = atan(r2887287);
        double r2887289 = r2887285 * r2887285;
        double r2887290 = pow(r2887288, r2887289);
        return r2887290;
}

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 2019170 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))