Details

Time bar (total: 2.2s)

analyze2.0ms

Algorithm
search

sample41.0ms

Algorithm
intervals
Results
14.0ms47×body1280valid
8.0ms41×body640valid
7.0ms139×body80valid
2.0ms19×body320valid
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.9b
(log (+ N 1.0))
3.7b
(- (log (+ N 1.0)) (log N))

rewrite10.0ms

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:
3.0ms
(log (+ N 1.0))
6.0ms
(- (log (+ N 1.0)) (log N))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(log (+ N 1.0))
7.0ms
(- (log (+ N 1.0)) (log N))

simplify56.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232285
1628264
22171244
35001244

prune78.0ms

Filtered
34 candidates to 47 candidates (-38.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
3.6b
(log (/ (+ N 1.0) N))

rewrite13.0ms

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)
6.0ms
(log (/ (+ N 1.0) N))

series8.0ms

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

simplify90.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0221370
1736343
23220333
35002333

prune75.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done000
Total66369

Merged error: 0.0b

Counts
69 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b
(log (+ N 1.0))
2.9b
(log (+ N 1.0))
2.9b
(log (+ N 1.0))
3.6b
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×log-prod
21×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
8×associate--l+
7×pow1 add-exp-log distribute-rgt-in distribute-lft-in
6×log-div associate--r+ add-log-exp
5×distribute-lft-out
4×add-cbrt-cube
3×flip3-+ rem-log-exp log-pow flip-+
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
6.0ms
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
15.0ms
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0435719
11435635
25001590

prune166.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh011
Picked101
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b
(log (+ N 1.0))
2.9b
(log (+ N 1.0))
2.9b
(log (+ N 1.0))
3.6b
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
26×log-prod
21×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
8×associate--l+
7×pow1 add-exp-log distribute-rgt-in distribute-lft-in
6×log-div associate--r+ add-log-exp
5×distribute-lft-out
4×add-cbrt-cube
3×flip3-+ rem-log-exp log-pow flip-+
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
6.0ms
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
3.0ms
(log (+ N 1.0))
12.0ms
(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0435719
11435635
25001590

prune242.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3

regimes35.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.3b

bsearch24.0ms

Steps
ItersRangePoint
10
1396.4409915148824
272763788770573.72
244787.7157060257

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

analyze1.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
502.0ms1742×body1280valid
237.0ms1239×body640valid
208.0ms4088×body80valid
78.0ms628×body320valid
24.0ms303×body160valid

Profiling

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