Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

sample44.0ms

Algorithm

intervals

Results

20.0ms	53×	body	1280	valid
8.0ms	38×	body	640	valid
7.0ms	136×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 28.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (log (+ N 1.0)) (log N))
4.0ms	(log (+ N 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	232	285
1	628	264
2	2171	244
3	5001	244

prune91.0ms

Filtered

34 candidates to 47 candidates (-38.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Merged error: 0.1b

Counts

48 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.9b	(log (/ (+ N 1.0) N))

rewrite12.0ms

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))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify91.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	221	370
1	736	343
2	3220	333
3	5002	333

prune93.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b	(log (+ (* 1.0 (/ 1 N)) 1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div` `*-un-lft-identity`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

1 → 14

Calls

1 calls:

5.0ms

(log (+ (* 1.0 (/ 1 N)) 1))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ (* 1.0 (/ 1 N)) 1))

simplify67.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	125	135
1	505	119
2	2200	113
3	5001	113

prune189.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	16	7	23

Merged error: 0.0b

Counts

23 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ N 1.0))
0.3b	(cbrt (+ N 1.0))
3.2b	(log (cbrt (+ N 1.0)))
3.3b	(+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

46×	`log-prod`
42×	`*-un-lft-identity`
32×	`cbrt-prod`
26×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-+r+`
21×	`times-frac`
14×	`associate-+l+`
8×	`distribute-lft-out`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`cbrt-div`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+`
3×	`log-div` `pow1/3`
2×	`log-pow`
1×	`+-commutative` `associate-+r-` `rem-log-exp` `sum-log` `div-inv`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (+ N 1.0))
3.0ms	(cbrt (+ N 1.0))
4.0ms	(log (cbrt (+ N 1.0)))
13.0ms	(+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (+ N 1.0))
6.0ms	(cbrt (+ N 1.0))
8.0ms	(log (cbrt (+ N 1.0)))
24.0ms	(+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	575	1058
1	1844	965
2	5001	900

prune250.0ms

Filtered

90 candidates to 110 candidates (-22.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	110	7	117

Merged error: 0.0b

Counts

117 → 7

regimes51.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.8b

bsearch21.0ms

Steps

Iters	Range		Point
9	341.77818848213013	134397470527.02237	200616.0685611968

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

sample1.3s

Algorithm

intervals

Results

546.0ms	1753×	body	1280	valid
269.0ms	1316×	body	640	valid
214.0ms	4020×	body	80	valid
82.0ms	596×	body	320	valid
30.0ms	315×	body	160	valid

Details

analyze2.0ms

sample44.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify58.0ms

prune91.0ms

localize5.0ms

rewrite12.0ms

series8.0ms

simplify91.0ms

prune93.0ms

localize6.0ms

rewrite6.0ms

series3.0ms

simplify67.0ms

prune189.0ms

localize10.0ms

rewrite27.0ms

series44.0ms

simplify57.0ms

prune250.0ms

regimes51.0ms

bsearch21.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample1.3s

Profiling