Average Error: 31.5 → 31.5
Time: 18.3s
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 r56251 = a;
        double r56252 = asin(r56251);
        double r56253 = fmod(r56251, r56252);
        double r56254 = atan(r56253);
        double r56255 = r56251 * r56251;
        double r56256 = pow(r56254, r56255);
        return r56256;
}
↓
double f(double a) {
        double r56257 = a;
        double r56258 = asin(r56257);
        double r56259 = fmod(r56257, r56258);
        double r56260 = atan(r56259);
        double r56261 = r56257 * r56257;
        double r56262 = pow(r56260, r56261);
        return r56262;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.5

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

  2. Final simplification31.5

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

Reproduce

herbie shell --seed 2019194 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))