Average Error: 31.4 → 31.4
Time: 21.1s
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 r5251048 = a;
        double r5251049 = asin(r5251048);
        double r5251050 = fmod(r5251048, r5251049);
        double r5251051 = atan(r5251050);
        double r5251052 = r5251048 * r5251048;
        double r5251053 = pow(r5251051, r5251052);
        return r5251053;
}
↓
double f(double a) {
        double r5251054 = a;
        double r5251055 = asin(r5251054);
        double r5251056 = fmod(r5251054, r5251055);
        double r5251057 = atan(r5251056);
        double r5251058 = r5251054 * r5251054;
        double r5251059 = pow(r5251057, r5251058);
        return r5251059;
}

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 2019149 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))