Average Error: 31.1 → 31.1
Time: 21.9s
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 r3926487 = a;
        double r3926488 = asin(r3926487);
        double r3926489 = fmod(r3926487, r3926488);
        double r3926490 = atan(r3926489);
        double r3926491 = r3926487 * r3926487;
        double r3926492 = pow(r3926490, r3926491);
        return r3926492;
}
↓
double f(double a) {
        double r3926493 = a;
        double r3926494 = asin(r3926493);
        double r3926495 = fmod(r3926493, r3926494);
        double r3926496 = atan(r3926495);
        double r3926497 = r3926493 * r3926493;
        double r3926498 = pow(r3926496, r3926497);
        return r3926498;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.1

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

  2. Final simplification31.1

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

Reproduce

herbie shell --seed 2019139 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))