Average Error: 0.2 → 0.2
Time: 5.1s
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 r10156 = b;
        double r10157 = atan2(r10156, r10156);
        double r10158 = sqrt(r10157);
        double r10159 = a;
        double r10160 = r10156 - r10159;
        double r10161 = pow(r10158, r10160);
        double r10162 = sin(r10161);
        return r10162;
}
↓
double f(double a, double b) {
        double r10163 = b;
        double r10164 = atan2(r10163, r10163);
        double r10165 = sqrt(r10164);
        double r10166 = a;
        double r10167 = r10163 - r10166;
        double r10168 = pow(r10165, r10167);
        double r10169 = sin(r10168);
        return r10169;
}

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 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2020046 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))