Average Error: 30.6 → 30.6
Time: 16.8s
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 r19959127 = a;
        double r19959128 = asin(r19959127);
        double r19959129 = fmod(r19959127, r19959128);
        double r19959130 = atan(r19959129);
        double r19959131 = r19959127 * r19959127;
        double r19959132 = pow(r19959130, r19959131);
        return r19959132;
}
↓
double f(double a) {
        double r19959133 = a;
        double r19959134 = asin(r19959133);
        double r19959135 = fmod(r19959133, r19959134);
        double r19959136 = atan(r19959135);
        double r19959137 = r19959133 * r19959133;
        double r19959138 = pow(r19959136, r19959137);
        return r19959138;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019120 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))