Average Error: 30.4 → 30.4
Time: 5.9s
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 r146356 = a;
        double r146357 = asin(r146356);
        double r146358 = fmod(r146356, r146357);
        double r146359 = atan(r146358);
        double r146360 = r146356 * r146356;
        double r146361 = pow(r146359, r146360);
        return r146361;
}
↓
double f(double a) {
        double r146362 = a;
        double r146363 = asin(r146362);
        double r146364 = fmod(r146362, r146363);
        double r146365 = atan(r146364);
        double r146366 = r146362 * r146362;
        double r146367 = pow(r146365, r146366);
        return r146367;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.4

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

  2. Final simplification30.4

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

Reproduce

herbie shell --seed 2020062 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))