Average Error: 3.4 → 3.4
Time: 5.7s
Precision: binary64
\[\frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}\]
↓
\[\frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}\]
\frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}
↓
\frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) (((double) pow(x, 4.0)) + ((double) pow(x, 3.0)))) + ((double) pow(x, 2.0)))) + x)) / ((double) sqrt(((double) (y - 1.0))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) (((double) pow(x, 4.0)) + ((double) pow(x, 3.0)))) + ((double) pow(x, 2.0)))) + x)) / ((double) sqrt(((double) (y - 1.0))))));
}

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 3.4

    \[\frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}\]

  2. Final simplification3.4

    \[\leadsto \frac{\left(\left({x}^{4} + {x}^{3}\right) + {x}^{2}\right) + x}{\sqrt{y - 1}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(/ (+ (+ (+ (pow x 4) (pow x 3)) (pow x 2)) x) (sqrt (- y 1)))"
  :precision binary64
  (/ (+ (+ (+ (pow x 4.0) (pow x 3.0)) (pow x 2.0)) x) (sqrt (- y 1.0))))