Average Error: 7.9 → 7.9
Time: 876.0ms
Precision: binary64
\[\frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}\]
↓
\[\frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}\]
\frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}
↓
\frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}
double code(double x, double sqrt) {
	return ((double) (((double) (6.0 * ((double) (x - 1.0)))) / ((double) (((double) (x + 1.0)) + ((double) (4.0 * ((double) (sqrt * x))))))));
}
↓
double code(double x, double sqrt) {
	return ((double) (((double) (6.0 * ((double) (x - 1.0)))) / ((double) (((double) (x + 1.0)) + ((double) (4.0 * ((double) (sqrt * x))))))));
}

Error

Bits error versus x

Bits error versus sqrt

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.9

    \[\frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}\]

  2. Final simplification7.9

    \[\leadsto \frac{6 \cdot \left(x - 1\right)}{\left(x + 1\right) + 4 \cdot \left(sqrt \cdot x\right)}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x sqrt)
  :name "(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (* sqrt x))))"
  :precision binary64
  (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (* sqrt x)))))