Average Error: 31.7 → 31.7
Time: 17.5s
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 r3643334 = a;
        double r3643335 = asin(r3643334);
        double r3643336 = fmod(r3643334, r3643335);
        double r3643337 = atan(r3643336);
        double r3643338 = r3643334 * r3643334;
        double r3643339 = pow(r3643337, r3643338);
        return r3643339;
}
↓
double f(double a) {
        double r3643340 = a;
        double r3643341 = asin(r3643340);
        double r3643342 = fmod(r3643340, r3643341);
        double r3643343 = atan(r3643342);
        double r3643344 = r3643340 * r3643340;
        double r3643345 = pow(r3643343, r3643344);
        return r3643345;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.7

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

  2. Final simplification31.7

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))