Average Error: 31.4 → 31.4
Time: 15.2s
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 r8902187 = a;
        double r8902188 = asin(r8902187);
        double r8902189 = fmod(r8902187, r8902188);
        double r8902190 = atan(r8902189);
        double r8902191 = r8902187 * r8902187;
        double r8902192 = pow(r8902190, r8902191);
        return r8902192;
}
↓
double f(double a) {
        double r8902193 = a;
        double r8902194 = asin(r8902193);
        double r8902195 = fmod(r8902193, r8902194);
        double r8902196 = atan(r8902195);
        double r8902197 = r8902193 * r8902193;
        double r8902198 = pow(r8902196, r8902197);
        return r8902198;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.4

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

  2. Final simplification31.4

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

Reproduce

herbie shell --seed 2019104 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))