Average Error: 0.2 → 0.2
Time: 12.6s
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 r8064 = b;
        double r8065 = atan2(r8064, r8064);
        double r8066 = sqrt(r8065);
        double r8067 = a;
        double r8068 = r8064 - r8067;
        double r8069 = pow(r8066, r8068);
        double r8070 = sin(r8069);
        return r8070;
}
↓
double f(double a, double b) {
        double r8071 = b;
        double r8072 = atan2(r8071, r8071);
        double r8073 = sqrt(r8072);
        double r8074 = a;
        double r8075 = r8071 - r8074;
        double r8076 = pow(r8073, r8075);
        double r8077 = sin(r8076);
        return r8077;
}

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 015"
  :precision binary64
  (sin (pow (sqrt (atan2 b b)) (- b a))))