Average Error: 0.1 → 0.1
Time: 25.1s
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 r11194 = b;
        double r11195 = atan2(r11194, r11194);
        double r11196 = sqrt(r11195);
        double r11197 = a;
        double r11198 = r11194 - r11197;
        double r11199 = pow(r11196, r11198);
        double r11200 = sin(r11199);
        return r11200;
}
↓
double f(double a, double b) {
        double r11201 = b;
        double r11202 = atan2(r11201, r11201);
        double r11203 = sqrt(r11202);
        double r11204 = a;
        double r11205 = r11201 - r11204;
        double r11206 = pow(r11203, r11205);
        double r11207 = sin(r11206);
        return r11207;
}

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 +o rules:numerics
(FPCore (a b)
  :name "Random Jason Timeout Test 003"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))