Details

Time bar (total: 5.6s)

sample56.0ms

Algorithm
intervals
Results
14.0ms49×body1280valid
11.0ms133×body80valid
7.0ms255×body80nan
7.0ms38×body640valid
2.0ms21×body320valid
1.0ms15×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

3.1b
(- (log (+ N 1.0)) (log N))
4.3b
(log (+ N 1.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×log-prod
7×pow1 add-sqr-sqrt
5×add-cube-cbrt log-pow
4×log-div associate--l+ distribute-lft-out--
3×add-exp-log associate--r+
2×associate--l- flip3-+ add-cbrt-cube flip-+ distribute-lft-out add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
7.0ms
(- (log (+ N 1.0)) (log N))
3.0ms
(log (+ N 1.0))

series164.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(- (log (+ N 1.0)) (log N))
55.0ms
(log (+ N 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0212281
1547264
21874250
35001247

prune127.0ms

Filtered
47 candidates to 33 candidates (29.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New43447
Fresh000
Picked101
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
3.0b
(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
7×add-exp-log distribute-lft-out
4×add-cbrt-cube associate-/l*
3×pow1 associate-/r*
2×div-exp rem-log-exp div-inv associate-/l/ add-log-exp
1×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))

series158.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (+ N 1.0) N)
102.0ms
(log (/ (+ N 1.0) N))

simplify101.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0233373
1773351
23489339
35002339

prune163.0ms

Filtered
66 candidates to 45 candidates (31.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New64266
Fresh123
Picked101
Done000
Total66470

Merged error: 0.0b

Counts
70 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (+ N 1.0) N))
0.1b
(sqrt (/ (+ N 1.0) N))
3.0b
(log (sqrt (/ (+ N 1.0) N)))
3.0b
(log (sqrt (/ (+ N 1.0) N)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×sqrt-prod
62×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
38×add-cube-cbrt log-prod
12×distribute-lft-out
10×pow1
6×add-exp-log log-pow
4×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div add-cbrt-cube div-inv add-log-exp
2×log-div rem-log-exp
Counts
4 → 118
Calls
4 calls:
4.0ms
(sqrt (/ (+ N 1.0) N))
4.0ms
(sqrt (/ (+ N 1.0) N))
5.0ms
(log (sqrt (/ (+ N 1.0) N)))
5.0ms
(log (sqrt (/ (+ N 1.0) N)))

series508.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (/ (+ N 1.0) N))
71.0ms
(sqrt (/ (+ N 1.0) N))
179.0ms
(log (sqrt (/ (+ N 1.0) N)))
186.0ms
(log (sqrt (/ (+ N 1.0) N)))

simplify132.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0253994
1801944
23486896
35002888

prune457.0ms

Filtered
130 candidates to 94 candidates (27.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1282130
Fresh213
Picked101
Done000
Total1313134

Merged error: 0.0b

Counts
134 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (+ N 1.0) N))
0.2b
(/ (sqrt (+ N 1.0)) (sqrt N))
3.0b
(log (/ (sqrt (+ N 1.0)) (sqrt N)))
3.0b
(log (sqrt (/ (+ N 1.0) N)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
116×*-un-lft-identity
109×times-frac
81×add-sqr-sqrt
78×add-cube-cbrt
65×log-prod
19×distribute-lft-out
10×add-exp-log
8×pow1
7×associate-/l*
6×associate-/r* add-cbrt-cube
4×sqrt-div log-pow div-inv add-log-exp
3×rem-log-exp
2×rem-sqrt-square log-div sqrt-pow1 pow1/2 div-exp associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg flip3-+ clear-num flip-+
Counts
4 → 186
Calls
4 calls:
5.0ms
(sqrt (/ (+ N 1.0) N))
7.0ms
(/ (sqrt (+ N 1.0)) (sqrt N))
10.0ms
(log (/ (sqrt (+ N 1.0)) (sqrt N)))
6.0ms
(log (sqrt (/ (+ N 1.0) N)))

series760.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (/ (+ N 1.0) N))
136.0ms
(/ (sqrt (+ N 1.0)) (sqrt N))
369.0ms
(log (/ (sqrt (+ N 1.0)) (sqrt N)))
183.0ms
(log (sqrt (/ (+ N 1.0) N)))

simplify64.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05791869
120291794
250021714

prune1.2s

Filtered
198 candidates to 114 candidates (42.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1962198
Fresh022
Picked101
Done000
Total1974201

Merged error: 0.0b

Counts
201 → 4

regimes42.0ms

Accuracy

100% (0.0b remaining)

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

bsearch49.0ms

Steps
ItersRangePoint
9
142.62154401734003
53342933.17227377
5884.994133621385

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03324
13324

end0.0ms

sample1.5s

Algorithm
intervals
Results
495.0ms1770×body1280valid
239.0ms8028×body80nan
211.0ms1183×body640valid
198.0ms4116×body80valid
77.0ms617×body320valid
23.0ms314×body160valid

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