Average Error: 30.8 → 30.8
Time: 5.3s
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 r201371 = a;
        double r201372 = asin(r201371);
        double r201373 = fmod(r201371, r201372);
        double r201374 = atan(r201373);
        double r201375 = r201371 * r201371;
        double r201376 = pow(r201374, r201375);
        return r201376;
}
↓
double f(double a) {
        double r201377 = a;
        double r201378 = asin(r201377);
        double r201379 = fmod(r201377, r201378);
        double r201380 = atan(r201379);
        double r201381 = r201377 * r201377;
        double r201382 = pow(r201380, r201381);
        return r201382;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.8

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

  2. Final simplification30.8

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

Reproduce

herbie shell --seed 2020027 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))