Average Error: 0.0 → 0.0
Time: 30.4s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x\]
\sin x \cdot \frac{\sinh y}{y}
↓
\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x
double f(double x, double y) {
        double r111746 = x;
        double r111747 = sin(r111746);
        double r111748 = y;
        double r111749 = sinh(r111748);
        double r111750 = r111749 / r111748;
        double r111751 = r111747 * r111750;
        return r111751;
}
↓
double f(double x, double y) {
        double r111752 = y;
        double r111753 = sinh(r111752);
        double r111754 = r111753 / r111752;
        double r111755 = sqrt(r111754);
        double r111756 = r111755 * r111755;
        double r111757 = x;
        double r111758 = sin(r111757);
        double r111759 = r111756 * r111758;
        return r111759;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied *-commutative0.0

    \[\leadsto \color{blue}{\frac{\sinh y}{y} \cdot \sin x}\]
  4. Using strategy rm

  5. Applied add-sqr-sqrt0.0

    \[\leadsto \color{blue}{\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)} \cdot \sin x\]

  6. Final simplification0.0

    \[\leadsto \left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x\]

Reproduce

herbie shell --seed 2019325 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))