Average Error: 0.2 → 0.2
Time: 3.8s
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 r3261 = b;
        double r3262 = atan2(r3261, r3261);
        double r3263 = sqrt(r3262);
        double r3264 = a;
        double r3265 = r3261 - r3264;
        double r3266 = pow(r3263, r3265);
        double r3267 = sin(r3266);
        return r3267;
}
↓
double f(double a, double b) {
        double r3268 = b;
        double r3269 = atan2(r3268, r3268);
        double r3270 = sqrt(r3269);
        double r3271 = a;
        double r3272 = r3268 - r3271;
        double r3273 = pow(r3270, r3272);
        double r3274 = sin(r3273);
        return r3274;
}

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 2020100 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))