Average Error: 31.0 → 31.0
Time: 9.9s
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 r120454 = a;
        double r120455 = asin(r120454);
        double r120456 = fmod(r120454, r120455);
        double r120457 = atan(r120456);
        double r120458 = r120454 * r120454;
        double r120459 = pow(r120457, r120458);
        return r120459;
}
↓
double f(double a) {
        double r120460 = a;
        double r120461 = asin(r120460);
        double r120462 = fmod(r120460, r120461);
        double r120463 = atan(r120462);
        double r120464 = r120460 * r120460;
        double r120465 = pow(r120463, r120464);
        return r120465;
}

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 2019350 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))