Average Error: 30.9 → 30.9
Time: 14.0s
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 r165382 = a;
        double r165383 = asin(r165382);
        double r165384 = fmod(r165382, r165383);
        double r165385 = atan(r165384);
        double r165386 = r165382 * r165382;
        double r165387 = pow(r165385, r165386);
        return r165387;
}
↓
double f(double a) {
        double r165388 = a;
        double r165389 = asin(r165388);
        double r165390 = fmod(r165388, r165389);
        double r165391 = atan(r165390);
        double r165392 = r165388 * r165388;
        double r165393 = pow(r165391, r165392);
        return r165393;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.9

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

  2. Final simplification30.9

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

Reproduce

herbie shell --seed 2020043 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))