Average Error: 31.3 → 31.3
Time: 27.2s
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 r3332439 = a;
        double r3332440 = asin(r3332439);
        double r3332441 = fmod(r3332439, r3332440);
        double r3332442 = atan(r3332441);
        double r3332443 = r3332439 * r3332439;
        double r3332444 = pow(r3332442, r3332443);
        return r3332444;
}
↓
double f(double a) {
        double r3332445 = a;
        double r3332446 = asin(r3332445);
        double r3332447 = fmod(r3332445, r3332446);
        double r3332448 = atan(r3332447);
        double r3332449 = r3332445 * r3332445;
        double r3332450 = pow(r3332448, r3332449);
        return r3332450;
}

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 2019200 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))