Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	56×	body	1280	valid
10.0ms	266×	body	80	nan
6.0ms	138×	body	80	valid
5.0ms	32×	body	640	valid
2.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize7.0ms

Local error

Found 2 expressions with local error:

2.1b	(- (log (+ N 1.0)) (log N))
2.5b	(log (+ N 1.0))

rewrite9.0ms

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:

6.0ms	(- (log (+ N 1.0)) (log N))
2.0ms	(log (+ N 1.0))

series138.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(- (log (+ N 1.0)) (log N))
41.0ms	(log (+ N 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	212	281
1	547	264
2	1874	250
3	5001	247

prune103.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.0b	(log (/ (+ N 1.0) N))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
15×	`*-un-lft-identity`
12×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log`
3×	`distribute-lft-out`
2×	`pow1` `rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

3.0ms

(log (/ (+ N 1.0) N))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(log (/ (+ N 1.0) N))

simplify57.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	167	209
1	455	196
2	1964	184
3	5002	184

prune52.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ N 1.0) N))
0.3b	(cbrt (/ (+ N 1.0) N))
2.1b	(log (cbrt (/ (+ N 1.0) N)))
2.1b	(log (cbrt (/ (+ N 1.0) N)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
62×	`*-un-lft-identity`
48×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
12×	`distribute-lft-out`
6×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 110

Calls

4 calls:

3.0ms	(cbrt (/ (+ N 1.0) N))
3.0ms	(cbrt (/ (+ N 1.0) N))
4.0ms	(log (cbrt (/ (+ N 1.0) N)))
4.0ms	(log (cbrt (/ (+ N 1.0) N)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (/ (+ N 1.0) N))
127.0ms	(cbrt (/ (+ N 1.0) N))
201.0ms	(log (cbrt (/ (+ N 1.0) N)))
207.0ms	(log (cbrt (/ (+ N 1.0) N)))

simplify103.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	267	1056
1	755	996
2	3236	966
3	5001	948

prune344.0ms

Filtered

122 candidates to 94 candidates (77.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (cbrt (/ (+ N 1.0) N)))
2.1b	(log (cbrt (/ (+ N 1.0) N)))
2.1b	(log (cbrt (/ (+ N 1.0) N)))
2.1b	(log (cbrt (/ (+ N 1.0) N)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

76×	`log-prod`
64×	`cbrt-prod` `*-un-lft-identity`
48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
8×	`pow1` `add-exp-log` `log-pow`
4×	`log-div` `cbrt-div` `pow1/3` `rem-log-exp` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 120

Calls

4 calls:

4.0ms	(log (cbrt (/ (+ N 1.0) N)))
4.0ms	(log (cbrt (/ (+ N 1.0) N)))
4.0ms	(log (cbrt (/ (+ N 1.0) N)))
4.0ms	(log (cbrt (/ (+ N 1.0) N)))

series828.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(log (cbrt (/ (+ N 1.0) N)))
204.0ms	(log (cbrt (/ (+ N 1.0) N)))
208.0ms	(log (cbrt (/ (+ N 1.0) N)))
205.0ms	(log (cbrt (/ (+ N 1.0) N)))

simplify64.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	193	1168
1	463	1108
2	1822	1080
3	5001	1056

prune432.0ms

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 28.5b

bsearch27.0ms

Steps

Iters	Range		Point
8	48.29475874355119	201074.4693330859	7812.389539013576

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

448.0ms	1758×	body	1280	valid
194.0ms	8063×	body	80	nan
187.0ms	1196×	body	640	valid
180.0ms	4189×	body	80	valid
60.0ms	590×	body	320	valid
19.0ms	267×	body	160	valid