Average Error: 31.1 → 31.1
Time: 20.8s
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 r3253416 = a;
        double r3253417 = asin(r3253416);
        double r3253418 = fmod(r3253416, r3253417);
        double r3253419 = atan(r3253418);
        double r3253420 = r3253416 * r3253416;
        double r3253421 = pow(r3253419, r3253420);
        return r3253421;
}
↓
double f(double a) {
        double r3253422 = a;
        double r3253423 = asin(r3253422);
        double r3253424 = fmod(r3253422, r3253423);
        double r3253425 = atan(r3253424);
        double r3253426 = r3253422 * r3253422;
        double r3253427 = pow(r3253425, r3253426);
        return r3253427;
}

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 2019138 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))