Average Error: 3.8 → 3.8
Time: 7.7s
Precision: binary64
\[{\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}\]
↓
\[{\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}\]
{\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}
↓
{\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}
double code(double y) {
	return ((double) pow(((double) (((double) (((double) (3424.0 / 4096.0)) + ((double) (((double) (((double) (2413.0 / 4096.0)) * 32.0)) * ((double) pow(y, ((double) (2610.0 / 16384.0)))))))) / ((double) (1.0 + ((double) (((double) (((double) (2392.0 / 4096.0)) * 32.0)) * ((double) pow(y, ((double) (2610.0 / 16384.0)))))))))), ((double) (((double) (2523.0 / 4096.0)) * 128.0))));
}
↓
double code(double y) {
	return ((double) pow(((double) (((double) (((double) (3424.0 / 4096.0)) + ((double) (((double) (((double) (2413.0 / 4096.0)) * 32.0)) * ((double) pow(y, ((double) (2610.0 / 16384.0)))))))) / ((double) (1.0 + ((double) (((double) (((double) (2392.0 / 4096.0)) * 32.0)) * ((double) pow(y, ((double) (2610.0 / 16384.0)))))))))), ((double) (((double) (2523.0 / 4096.0)) * 128.0))));
}

Error

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.8

    \[{\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}\]

  2. Final simplification3.8

    \[\leadsto {\left(\frac{\frac{3424}{4096} + \left(\frac{2413}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}{1 + \left(\frac{2392}{4096} \cdot 32\right) \cdot {y}^{\left(\frac{2610}{16384}\right)}}\right)}^{\left(\frac{2523}{4096} \cdot 128\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y)
  :name "(pow (/ (+ (/ 3424 4096) (* (* (/ 2413 4096) 32) (pow y (/ 2610 16384)))) (+ 1 (* (* (/ 2392 4096) 32) (pow y (/ 2610 16384))))) (* (/ 2523 4096) 128))"
  :precision binary64
  (pow (/ (+ (/ 3424.0 4096.0) (* (* (/ 2413.0 4096.0) 32.0) (pow y (/ 2610.0 16384.0)))) (+ 1.0 (* (* (/ 2392.0 4096.0) 32.0) (pow y (/ 2610.0 16384.0))))) (* (/ 2523.0 4096.0) 128.0)))