Average Error: 0.1 → 0.1
Time: 17.3s
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 r850545 = b;
        double r850546 = atan2(r850545, r850545);
        double r850547 = sqrt(r850546);
        double r850548 = a;
        double r850549 = r850545 - r850548;
        double r850550 = pow(r850547, r850549);
        double r850551 = sin(r850550);
        return r850551;
}
↓
double f(double a, double b) {
        double r850552 = b;
        double r850553 = atan2(r850552, r850552);
        double r850554 = sqrt(r850553);
        double r850555 = a;
        double r850556 = r850552 - r850555;
        double r850557 = pow(r850554, r850556);
        double r850558 = sin(r850557);
        return r850558;
}

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 2019169 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  (sin (pow (sqrt (atan2 b b)) (- b a))))