Average Error: 31.2 → 31.2
Time: 20.5s
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 r5362158 = a;
        double r5362159 = asin(r5362158);
        double r5362160 = fmod(r5362158, r5362159);
        double r5362161 = atan(r5362160);
        double r5362162 = r5362158 * r5362158;
        double r5362163 = pow(r5362161, r5362162);
        return r5362163;
}
↓
double f(double a) {
        double r5362164 = a;
        double r5362165 = asin(r5362164);
        double r5362166 = fmod(r5362164, r5362165);
        double r5362167 = atan(r5362166);
        double r5362168 = r5362164 * r5362164;
        double r5362169 = pow(r5362167, r5362168);
        return r5362169;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2019144 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))