Average Error: 30.5 → 30.5
Time: 10.2s
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 r139279 = a;
        double r139280 = asin(r139279);
        double r139281 = fmod(r139279, r139280);
        double r139282 = atan(r139281);
        double r139283 = r139279 * r139279;
        double r139284 = pow(r139282, r139283);
        return r139284;
}
↓
double f(double a) {
        double r139285 = a;
        double r139286 = asin(r139285);
        double r139287 = fmod(r139285, r139286);
        double r139288 = atan(r139287);
        double r139289 = r139285 * r139285;
        double r139290 = pow(r139288, r139289);
        return r139290;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.5

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

  2. Final simplification30.5

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

Reproduce

herbie shell --seed 2020047 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))