Details

sample48.0ms

Algorithm

intervals

Results

12.0ms	42×	body	1280	valid
7.0ms	41×	body	640	valid
7.0ms	241×	body	80	nan
7.0ms	135×	body	80	valid
3.0ms	24×	body	320	valid
1.0ms	14×	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

Filtered

1 candidates to 0 candidates (100.0%)

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:

2.0b	(log (+ N 1.0))
3.5b	(- (log (+ N 1.0)) (log N))

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:

3.0ms	(log (+ N 1.0))
7.0ms	(- (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))

simplify55.0ms

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

prune83.0ms

Filtered

47 candidates to 34 candidates (27.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Merged error: 0.1b

Counts

48 → 4

localize4.0ms

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`
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))

simplify90.0ms

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

prune87.0ms

Filtered

66 candidates to 46 candidates (30.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.1b

Counts

70 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ N 1.0))
0.3b	(cbrt (+ N 1.0))
2.0b	(log (cbrt (+ N 1.0)))
3.7b	(+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))

rewrite25.0ms

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

series45.0ms

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)))
25.0ms	(+ (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

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

prune248.0ms

Filtered

110 candidates to 91 candidates (17.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	110	5	115

Merged error: 0.1b

Counts

115 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

2.0b	(log (cbrt (+ N 1.0)))
2.0b	(log (cbrt (+ N 1.0)))
2.0b	(log (cbrt (+ N 1.0)))
3.6b	(+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
18×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`log-div` `cbrt-div` `log-pow` `add-log-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
3×	`pow1/3` `rem-log-exp`
1×	`+-commutative` `sum-log` `sum-cubes`

Counts

4 → 70

Calls

4 calls:

4.0ms	(log (cbrt (+ N 1.0)))
3.0ms	(log (cbrt (+ N 1.0)))
3.0ms	(log (cbrt (+ N 1.0)))
9.0ms	(+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))

series79.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(log (cbrt (+ N 1.0)))
7.0ms	(log (cbrt (+ N 1.0)))
7.0ms	(log (cbrt (+ N 1.0)))
57.0ms	(+ (pow (* 2 (log (cbrt (+ N 1.0)))) 3) (pow (log (/ (cbrt (+ N 1.0)) N)) 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	828	1072
1	3425	1012
2	5002	978

prune508.0ms

Filtered

82 candidates to 68 candidates (17.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	82	5	87

Merged error: 0.1b

Counts

87 → 5

regimes46.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.3b

bsearch13.0ms

Steps

Iters	Range		Point
8	7423.9342200737565	8131618.111653002	9410.207051731439

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

491.0ms	1757×	body	1280	valid
244.0ms	7825×	body	80	nan
232.0ms	1263×	body	640	valid
200.0ms	4097×	body	80	valid
70.0ms	584×	body	320	valid
24.0ms	299×	body	160	valid

Details

sample48.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify55.0ms

prune83.0ms

localize4.0ms

rewrite11.0ms

series8.0ms

simplify90.0ms

prune87.0ms

localize10.0ms

rewrite25.0ms

series45.0ms

simplify48.0ms

prune248.0ms

localize26.0ms

rewrite22.0ms

series79.0ms

simplify87.0ms

prune508.0ms

regimes46.0ms

bsearch13.0ms

simplify1.0ms

end0.0ms

sample1.5s

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