Average Error: 31.0 → 31.0
Time: 18.7s
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 r64089 = a;
        double r64090 = asin(r64089);
        double r64091 = fmod(r64089, r64090);
        double r64092 = atan(r64091);
        double r64093 = r64089 * r64089;
        double r64094 = pow(r64092, r64093);
        return r64094;
}
↓
double f(double a) {
        double r64095 = a;
        double r64096 = asin(r64095);
        double r64097 = fmod(r64095, r64096);
        double r64098 = atan(r64097);
        double r64099 = r64095 * r64095;
        double r64100 = pow(r64098, r64099);
        return r64100;
}

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 2019325 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))