2frac (problem 3.3.1)

Average Error: 14.5 → 0.4

Time: 3.2s

Precision: binary64

Math

\[\]

↓

\[\]

Error

Bits error versus x

Derivation

1. Initial program 14.5

   \[\]
2. Using strategy rm

3. Applied frac-sub 13.9

   \[\leadsto \]

4. Simplified 0.4

   \[\leadsto \]

5. Simplified 0.4

   \[\leadsto \]

6. Final simplification 0.4

   \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x)
  :name "2frac (problem 3.3.1)"
  :precision binary64
  (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))