Average Error: 30.9 → 30.9
Time: 10.9s
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 r38140 = a;
        double r38141 = asin(r38140);
        double r38142 = fmod(r38140, r38141);
        double r38143 = atan(r38142);
        double r38144 = r38140 * r38140;
        double r38145 = pow(r38143, r38144);
        return r38145;
}
↓
double f(double a) {
        double r38146 = a;
        double r38147 = asin(r38146);
        double r38148 = fmod(r38146, r38147);
        double r38149 = atan(r38148);
        double r38150 = r38146 * r38146;
        double r38151 = pow(r38149, r38150);
        return r38151;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.9

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

  2. Final simplification30.9

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

Reproduce

herbie shell --seed 2020045 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))