Average Error: 31.0 → 31.0
Time: 10.8s
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 r111234 = a;
        double r111235 = asin(r111234);
        double r111236 = fmod(r111234, r111235);
        double r111237 = atan(r111236);
        double r111238 = r111234 * r111234;
        double r111239 = pow(r111237, r111238);
        return r111239;
}
↓
double f(double a) {
        double r111240 = a;
        double r111241 = asin(r111240);
        double r111242 = fmod(r111240, r111241);
        double r111243 = atan(r111242);
        double r111244 = r111240 * r111240;
        double r111245 = pow(r111243, r111244);
        return r111245;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

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

  2. Final simplification31.0

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

Reproduce

herbie shell --seed 2020046 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))