Average Error: 30.8 → 30.8
Time: 18.1s
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 r34248464 = a;
        double r34248465 = asin(r34248464);
        double r34248466 = fmod(r34248464, r34248465);
        double r34248467 = atan(r34248466);
        double r34248468 = r34248464 * r34248464;
        double r34248469 = pow(r34248467, r34248468);
        return r34248469;
}
↓
double f(double a) {
        double r34248470 = a;
        double r34248471 = asin(r34248470);
        double r34248472 = fmod(r34248470, r34248471);
        double r34248473 = atan(r34248472);
        double r34248474 = r34248470 * r34248470;
        double r34248475 = pow(r34248473, r34248474);
        return r34248475;
}

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 2019112 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))