Average Error: 31.0 → 31.0
Time: 10.7s
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 r139518 = a;
        double r139519 = asin(r139518);
        double r139520 = fmod(r139518, r139519);
        double r139521 = atan(r139520);
        double r139522 = r139518 * r139518;
        double r139523 = pow(r139521, r139522);
        return r139523;
}
↓
double f(double a) {
        double r139524 = a;
        double r139525 = asin(r139524);
        double r139526 = fmod(r139524, r139525);
        double r139527 = atan(r139526);
        double r139528 = r139524 * r139524;
        double r139529 = pow(r139527, r139528);
        return r139529;
}

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 2020046 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))