Average Error: 30.7 → 30.7
Time: 20.0s
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 r3148454 = a;
        double r3148455 = asin(r3148454);
        double r3148456 = fmod(r3148454, r3148455);
        double r3148457 = atan(r3148456);
        double r3148458 = r3148454 * r3148454;
        double r3148459 = pow(r3148457, r3148458);
        return r3148459;
}
↓
double f(double a) {
        double r3148460 = a;
        double r3148461 = asin(r3148460);
        double r3148462 = fmod(r3148460, r3148461);
        double r3148463 = atan(r3148462);
        double r3148464 = r3148460 * r3148460;
        double r3148465 = pow(r3148463, r3148464);
        return r3148465;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))