Average Error: 0.1 → 0.1
Time: 4.5s
Precision: 64
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]
↓
\[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]
\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)
↓
\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)
double f(double a, double b) {
        double r17887 = b;
        double r17888 = atan2(r17887, r17887);
        double r17889 = sqrt(r17888);
        double r17890 = a;
        double r17891 = r17887 - r17890;
        double r17892 = pow(r17889, r17891);
        double r17893 = sin(r17892);
        return r17893;
}
↓
double f(double a, double b) {
        double r17894 = b;
        double r17895 = atan2(r17894, r17894);
        double r17896 = sqrt(r17895);
        double r17897 = a;
        double r17898 = r17894 - r17897;
        double r17899 = pow(r17896, r17898);
        double r17900 = sin(r17899);
        return r17900;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

  2. Final simplification0.1

    \[\leadsto \sin \left({\left(\sqrt{\tan^{-1}_* \frac{b}{b}}\right)}^{\left(b - a\right)}\right)\]

Reproduce

herbie shell --seed 2020034 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))