Average Error: 30.4 → 30.4
Time: 17.9s
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 r2782225 = a;
        double r2782226 = asin(r2782225);
        double r2782227 = fmod(r2782225, r2782226);
        double r2782228 = atan(r2782227);
        double r2782229 = r2782225 * r2782225;
        double r2782230 = pow(r2782228, r2782229);
        return r2782230;
}
↓
double f(double a) {
        double r2782231 = a;
        double r2782232 = asin(r2782231);
        double r2782233 = fmod(r2782231, r2782232);
        double r2782234 = atan(r2782233);
        double r2782235 = r2782231 * r2782231;
        double r2782236 = pow(r2782234, r2782235);
        return r2782236;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.4

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

  2. Final simplification30.4

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

Reproduce

herbie shell --seed 2019133 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))