Average Error: 0.1 → 0.1
Time: 5.3s
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 r14943 = b;
        double r14944 = atan2(r14943, r14943);
        double r14945 = sqrt(r14944);
        double r14946 = a;
        double r14947 = r14943 - r14946;
        double r14948 = pow(r14945, r14947);
        double r14949 = sin(r14948);
        return r14949;
}
↓
double f(double a, double b) {
        double r14950 = b;
        double r14951 = atan2(r14950, r14950);
        double r14952 = sqrt(r14951);
        double r14953 = a;
        double r14954 = r14950 - r14953;
        double r14955 = pow(r14952, r14954);
        double r14956 = sin(r14955);
        return r14956;
}

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 2020025 
(FPCore (a b)
  :name "Random Jason Timeout Test 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))