Average Error: 31.0 → 31.0
Time: 24.9s
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 r1968716 = a;
        double r1968717 = asin(r1968716);
        double r1968718 = fmod(r1968716, r1968717);
        double r1968719 = atan(r1968718);
        double r1968720 = r1968716 * r1968716;
        double r1968721 = pow(r1968719, r1968720);
        return r1968721;
}
↓
double f(double a) {
        double r1968722 = a;
        double r1968723 = asin(r1968722);
        double r1968724 = fmod(r1968722, r1968723);
        double r1968725 = atan(r1968724);
        double r1968726 = r1968722 * r1968722;
        double r1968727 = pow(r1968725, r1968726);
        return r1968727;
}

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 2019142 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))