Average Error: 31.0 → 31.0
Time: 18.5s
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 r64231 = a;
        double r64232 = asin(r64231);
        double r64233 = fmod(r64231, r64232);
        double r64234 = atan(r64233);
        double r64235 = r64231 * r64231;
        double r64236 = pow(r64234, r64235);
        return r64236;
}
↓
double f(double a) {
        double r64237 = a;
        double r64238 = asin(r64237);
        double r64239 = fmod(r64237, r64238);
        double r64240 = atan(r64239);
        double r64241 = r64237 * r64237;
        double r64242 = pow(r64240, r64241);
        return r64242;
}

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 2019325 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))