Average Error: 0.1 → 0.1
Time: 34.7s
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 r20245 = b;
        double r20246 = atan2(r20245, r20245);
        double r20247 = sqrt(r20246);
        double r20248 = a;
        double r20249 = r20245 - r20248;
        double r20250 = pow(r20247, r20249);
        double r20251 = sin(r20250);
        return r20251;
}
↓
double f(double a, double b) {
        double r20252 = b;
        double r20253 = atan2(r20252, r20252);
        double r20254 = sqrt(r20253);
        double r20255 = a;
        double r20256 = r20252 - r20255;
        double r20257 = pow(r20254, r20256);
        double r20258 = sin(r20257);
        return r20258;
}

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 2019212 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))