Average Error: 0.0 → 0.0
Time: 1.9s
Precision: binary64
\[\]
\[\]
double code(double t) {
	return ((double) (1.0 - ((double) (1.0 / ((double) (2.0 + ((double) (((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t)))))))) * ((double) (2.0 - ((double) (((double) (2.0 / t)) / ((double) (1.0 + ((double) (1.0 / t))))))))))))))));
}
double code(double t) {
	return ((double) (1.0 - ((double) (1.0 / ((double) (2.0 + ((double) (((double) (2.0 - ((double) (2.0 / ((double) (1.0 + ((double) (1.0 * t)))))))) * ((double) (2.0 - ((double) (((double) (((double) cbrt(2.0)) * ((double) cbrt(2.0)))) / ((double) (((double) (1.0 + ((double) (1.0 * t)))) / ((double) cbrt(2.0))))))))))))))));
}

Error

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\]
  2. Simplified0.0

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt0.0

    \[\leadsto \]
  5. Applied associate-/l*0.0

    \[\leadsto \]
  6. Final simplification0.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (t)
  :name "Kahan p13 Example 3"
  :precision binary64
  (- 1.0 (/ 1.0 (+ 2.0 (* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))))