Average Error: 0.2 → 0.1
Time: 2.6s
Precision: binary64
\[\]
\[\]
double code(double x) {
	return ((double) (((double) (6.0 * ((double) (x - 1.0)))) / ((double) (((double) (x + 1.0)) + ((double) (4.0 * ((double) sqrt(x))))))));
}
double code(double x) {
	return ((double) (6.0 * ((double) cbrt(((double) pow(((double) (((double) (x - 1.0)) / ((double) (x + ((double) (1.0 + ((double) (4.0 * ((double) sqrt(x)))))))))), 3.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.1
\[\]

Derivation

  1. Initial program 0.2

    \[\]
  2. Simplified0.0

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cbrt-cube20.6

    \[\leadsto \]
  5. Applied add-cbrt-cube21.2

    \[\leadsto \]
  6. Applied cbrt-undiv21.2

    \[\leadsto \]
  7. Simplified0.1

    \[\leadsto \]
  8. Final simplification0.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x)
  :name "Data.Approximate.Numerics:blog from approximate-0.2.2.1"
  :precision binary64

  :herbie-target
  (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

  (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))