Average Error: 0.2 → 0.2
Time: 3.7s
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 r3113 = b;
        double r3114 = atan2(r3113, r3113);
        double r3115 = sqrt(r3114);
        double r3116 = a;
        double r3117 = r3113 - r3116;
        double r3118 = pow(r3115, r3117);
        double r3119 = sin(r3118);
        return r3119;
}
↓
double f(double a, double b) {
        double r3120 = b;
        double r3121 = atan2(r3120, r3120);
        double r3122 = sqrt(r3121);
        double r3123 = a;
        double r3124 = r3120 - r3123;
        double r3125 = pow(r3122, r3124);
        double r3126 = sin(r3125);
        return r3126;
}

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