Average Error: 0.1 → 0.1
Time: 2.7s
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 r10927 = b;
        double r10928 = atan2(r10927, r10927);
        double r10929 = sqrt(r10928);
        double r10930 = a;
        double r10931 = r10927 - r10930;
        double r10932 = pow(r10929, r10931);
        double r10933 = sin(r10932);
        return r10933;
}
↓
double f(double a, double b) {
        double r10934 = b;
        double r10935 = atan2(r10934, r10934);
        double r10936 = sqrt(r10935);
        double r10937 = a;
        double r10938 = r10934 - r10937;
        double r10939 = pow(r10936, r10938);
        double r10940 = sin(r10939);
        return r10940;
}

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 2019353 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))