Average Error: 0 → 0
Time: 1.2s
Precision: 64
Internal Precision: 128
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2019004 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))

Details

Time bar (total: 878.0ms)Debug log

sample16.0ms

Algorithm
intervals

simplify4.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

4.0ms
(/ (fabs (- a b)) 2)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (fabs (- a b)) 2)

rewrite6.0ms

Algorithm
rewrite-expression-head
Counts
1 → 15
Calls

1 calls. Slowest were:

6.0ms
(/ (fabs (- a b)) 2)

series15.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

15.0ms
(/ (fabs (- a b)) 2)

simplify37.0ms

Counts
5 → 18
Calls

5 calls. Slowest were:

8.0ms
(* (cbrt (fabs (- a b))) (cbrt (fabs (- a b))))
8.0ms
(* 1/2 (fabs (- a b)))
7.0ms
(* 1/2 (fabs (- a b)))

prune121.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.2b

end0.0ms

sample651.0ms

Algorithm
intervals