Average Error: 30.7 → 30.7
Time: 11.1s
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 r84076 = a;
        double r84077 = asin(r84076);
        double r84078 = fmod(r84076, r84077);
        double r84079 = atan(r84078);
        double r84080 = r84076 * r84076;
        double r84081 = pow(r84079, r84080);
        return r84081;
}
↓
double f(double a) {
        double r84082 = a;
        double r84083 = asin(r84082);
        double r84084 = fmod(r84082, r84083);
        double r84085 = atan(r84084);
        double r84086 = r84082 * r84082;
        double r84087 = pow(r84085, r84086);
        return r84087;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2019308 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))