Average Error: 0.2 → 0.2
Time: 13.6s
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 r19062 = b;
        double r19063 = atan2(r19062, r19062);
        double r19064 = sqrt(r19063);
        double r19065 = a;
        double r19066 = r19062 - r19065;
        double r19067 = pow(r19064, r19066);
        double r19068 = sin(r19067);
        return r19068;
}
↓
double f(double a, double b) {
        double r19069 = b;
        double r19070 = atan2(r19069, r19069);
        double r19071 = sqrt(r19070);
        double r19072 = a;
        double r19073 = r19069 - r19072;
        double r19074 = pow(r19071, r19073);
        double r19075 = sin(r19074);
        return r19075;
}

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 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))