Average Error: 0.1 → 0.1
Time: 10.5s
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 r13185 = b;
        double r13186 = atan2(r13185, r13185);
        double r13187 = sqrt(r13186);
        double r13188 = a;
        double r13189 = r13185 - r13188;
        double r13190 = pow(r13187, r13189);
        double r13191 = sin(r13190);
        return r13191;
}
↓
double f(double a, double b) {
        double r13192 = b;
        double r13193 = atan2(r13192, r13192);
        double r13194 = sqrt(r13193);
        double r13195 = a;
        double r13196 = r13192 - r13195;
        double r13197 = pow(r13194, r13196);
        double r13198 = sin(r13197);
        return r13198;
}

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 2019323 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))