Average Error: 31.1 → 31.1
Time: 5.1s
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 r101527 = a;
        double r101528 = asin(r101527);
        double r101529 = fmod(r101527, r101528);
        double r101530 = atan(r101529);
        double r101531 = r101527 * r101527;
        double r101532 = pow(r101530, r101531);
        return r101532;
}
↓
double f(double a) {
        double r101533 = a;
        double r101534 = asin(r101533);
        double r101535 = fmod(r101533, r101534);
        double r101536 = atan(r101535);
        double r101537 = r101533 * r101533;
        double r101538 = pow(r101536, r101537);
        return r101538;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.1

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

  2. Final simplification31.1

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

Reproduce

herbie shell --seed 2020049 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))