Average Error: 0.2 → 0.2
Time: 5.9s
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 r5541 = b;
        double r5542 = atan2(r5541, r5541);
        double r5543 = sqrt(r5542);
        double r5544 = a;
        double r5545 = r5541 - r5544;
        double r5546 = pow(r5543, r5545);
        double r5547 = sin(r5546);
        return r5547;
}
↓
double f(double a, double b) {
        double r5548 = b;
        double r5549 = atan2(r5548, r5548);
        double r5550 = sqrt(r5549);
        double r5551 = a;
        double r5552 = r5548 - r5551;
        double r5553 = pow(r5550, r5552);
        double r5554 = sin(r5553);
        return r5554;
}

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 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))