Average Error: 30.8 → 30.8
Time: 20.4s
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 r3276708 = a;
        double r3276709 = asin(r3276708);
        double r3276710 = fmod(r3276708, r3276709);
        double r3276711 = atan(r3276710);
        double r3276712 = r3276708 * r3276708;
        double r3276713 = pow(r3276711, r3276712);
        return r3276713;
}
↓
double f(double a) {
        double r3276714 = a;
        double r3276715 = asin(r3276714);
        double r3276716 = fmod(r3276714, r3276715);
        double r3276717 = atan(r3276716);
        double r3276718 = r3276714 * r3276714;
        double r3276719 = pow(r3276717, r3276718);
        return r3276719;
}

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 2019134 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))