Average Error: 0.1 → 0.1
Time: 24.0s
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 r8493 = b;
        double r8494 = atan2(r8493, r8493);
        double r8495 = sqrt(r8494);
        double r8496 = a;
        double r8497 = r8493 - r8496;
        double r8498 = pow(r8495, r8497);
        double r8499 = sin(r8498);
        return r8499;
}
↓
double f(double a, double b) {
        double r8500 = b;
        double r8501 = atan2(r8500, r8500);
        double r8502 = sqrt(r8501);
        double r8503 = a;
        double r8504 = r8500 - r8503;
        double r8505 = pow(r8502, r8504);
        double r8506 = sin(r8505);
        return r8506;
}

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 2019323 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))