Average Error: 31.0 → 31.0
Time: 16.7s
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 r1377582 = a;
        double r1377583 = asin(r1377582);
        double r1377584 = fmod(r1377582, r1377583);
        double r1377585 = atan(r1377584);
        double r1377586 = r1377582 * r1377582;
        double r1377587 = pow(r1377585, r1377586);
        return r1377587;
}
↓
double f(double a) {
        double r1377588 = a;
        double r1377589 = asin(r1377588);
        double r1377590 = fmod(r1377588, r1377589);
        double r1377591 = atan(r1377590);
        double r1377592 = r1377588 * r1377588;
        double r1377593 = pow(r1377591, r1377592);
        return r1377593;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

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

  2. Final simplification31.0

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

Reproduce

herbie shell --seed 2019154 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))