Average Error: 31.0 → 31.0
Time: 14.7s
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 r4158532 = a;
        double r4158533 = asin(r4158532);
        double r4158534 = fmod(r4158532, r4158533);
        double r4158535 = atan(r4158534);
        double r4158536 = r4158532 * r4158532;
        double r4158537 = pow(r4158535, r4158536);
        return r4158537;
}
↓
double f(double a) {
        double r4158538 = a;
        double r4158539 = asin(r4158538);
        double r4158540 = fmod(r4158538, r4158539);
        double r4158541 = atan(r4158540);
        double r4158542 = r4158538 * r4158538;
        double r4158543 = pow(r4158541, r4158542);
        return r4158543;
}

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 2019171 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))