Average Error: 0.1 → 0.1
Time: 3.0s
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 r14306 = b;
        double r14307 = atan2(r14306, r14306);
        double r14308 = sqrt(r14307);
        double r14309 = a;
        double r14310 = r14306 - r14309;
        double r14311 = pow(r14308, r14310);
        double r14312 = sin(r14311);
        return r14312;
}
↓
double f(double a, double b) {
        double r14313 = b;
        double r14314 = atan2(r14313, r14313);
        double r14315 = sqrt(r14314);
        double r14316 = a;
        double r14317 = r14313 - r14316;
        double r14318 = pow(r14315, r14317);
        double r14319 = sin(r14318);
        return r14319;
}

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 2020083 
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))