Average Error: 30.8 → 30.8
Time: 8.8s
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 r102153 = a;
        double r102154 = asin(r102153);
        double r102155 = fmod(r102153, r102154);
        double r102156 = atan(r102155);
        double r102157 = r102153 * r102153;
        double r102158 = pow(r102156, r102157);
        return r102158;
}
↓
double f(double a) {
        double r102159 = a;
        double r102160 = asin(r102159);
        double r102161 = fmod(r102159, r102160);
        double r102162 = atan(r102161);
        double r102163 = r102159 * r102159;
        double r102164 = pow(r102162, r102163);
        return r102164;
}

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 2019318 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))