Average Error: 31.7 → 31.7
Time: 20.6s
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 r3866380 = a;
        double r3866381 = asin(r3866380);
        double r3866382 = fmod(r3866380, r3866381);
        double r3866383 = atan(r3866382);
        double r3866384 = r3866380 * r3866380;
        double r3866385 = pow(r3866383, r3866384);
        return r3866385;
}
↓
double f(double a) {
        double r3866386 = a;
        double r3866387 = asin(r3866386);
        double r3866388 = fmod(r3866386, r3866387);
        double r3866389 = atan(r3866388);
        double r3866390 = r3866386 * r3866386;
        double r3866391 = pow(r3866389, r3866390);
        return r3866391;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.7

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

  2. Final simplification31.7

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))