Details

Time bar (total: 1.7s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
50%0%50%4

sample41.0ms

Algorithm
intervals
Results
16.0ms53×body1280valid
9.0ms44×body640valid
7.0ms128×body80valid
3.0ms23×body320valid
1.0msbody160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.1b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

2.5b
(log (+ N 1.0))
3.3b
(- (log (+ N 1.0)) (log N))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×log-prod
pow1 add-sqr-sqrt
add-cube-cbrt log-pow
log-div associate--l+ distribute-lft-out--
add-exp-log associate--r+
associate--l- flip3-+ add-cbrt-cube flip-+ distribute-lft-out add-log-exp
sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 40
Calls
2 calls:
3.0ms
(log (+ N 1.0))
7.0ms
(- (log (+ N 1.0)) (log N))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(log (+ N 1.0))
6.0ms
(- (log (+ N 1.0)) (log N))

simplify42.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05481434

prune80.0ms

Filtered
35 candidates to 46 candidates (-31.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0b

Counts
47 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
3.4b
(log (/ (+ N 1.0) N))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
16×log-prod
add-exp-log distribute-lft-out
add-cbrt-cube associate-/l*
pow1 associate-/r*
div-exp rem-log-exp div-inv associate-/l/ add-log-exp
cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 60
Calls
2 calls:
5.0ms
(/ (+ N 1.0) N)
4.0ms
(log (/ (+ N 1.0) N))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ N 1.0) N)
4.0ms
(log (/ (+ N 1.0) N))

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04970619
14970619

prune81.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done000
Total66268

Merged error: 0b

Counts
68 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 N) (/ 0.5 (* N N)))
0.2b
(/ 0.5 (* N N))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
add-exp-log times-frac add-cbrt-cube
*-un-lft-identity
add-cube-cbrt add-log-exp difference-of-squares
associate-/l*
pow1 cbrt-undiv div-exp
sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod div-inv distribute-lft-out--
Counts
2 → 38
Calls
2 calls:
9.0ms
(- (/ 1.0 N) (/ 0.5 (* N N)))
4.0ms
(/ 0.5 (* N N))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (/ 1.0 N) (/ 0.5 (* N N)))
3.0ms
(/ 0.5 (* N N))

simplify60.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04863436
14863436

prune49.0ms

Filtered
31 candidates to 44 candidates (-41.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh000
Picked011
Done011
Total44246

Merged error: 0b

Counts
46 → 2

regimes30.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.0b

bsearch14.0ms

Steps
ItersRangePoint
10
0.058931134214387594
396238095.24278986
193993.95594197125

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03119
13119

end0.0ms

sample1.1s

Algorithm
intervals
Results
505.0ms1720×body1280valid
227.0ms1200×body640valid
208.0ms4129×body80valid
81.0ms650×body320valid
24.0ms301×body160valid

Profiling

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