Details

sample116.0ms

Algorithm

intervals

Results

58.0ms	101×	body	1280	valid
28.0ms	95×	body	640	valid
7.0ms	249×	body	80	nan
6.0ms	38×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 58.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`log-div`
4×	`associate-/r/` `associate-/l/`
3×	`log-prod` `clear-num`
2×	`flip3--` `frac-2neg` `flip3-+` `flip--` `flip-+` `div-inv`
1×	`div-sub` `log-rec`

Counts

2 → 17

Calls

2 calls:

4.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
3.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
132.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify48.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	171	141
1	487	139
2	1707	132
3	5001	126

prune63.0ms

Filtered

23 candidates to 21 candidates (91.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Merged error: 0.1b

Counts

24 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ (pow eps 2) (pow 1.0 2)) eps)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `flip3-+` `flip-+`

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (/ (pow eps 2) (pow 1.0 2)) eps)

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(+ (/ (pow eps 2) (pow 1.0 2)) eps)

simplify30.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	54	41
1	191	40
2	692	38
3	5002	37

prune21.0ms

Filtered

6 candidates to 4 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0.1b

Counts

9 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* eps eps))
0.0b	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
2.7b	(log (- (* 1.0 1.0) (* eps eps)))
5.1b	(log (+ 1.0 eps))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative` `difference-of-squares`
8×	`log-prod`
6×	`log-div`
4×	`flip3--` `associate--l+` `flip--`
2×	`associate--l-` `sub-neg`
1×	`flip3-+` `flip-+`

Counts

4 → 26

Calls

4 calls:

4.0ms	(- (* 1.0 1.0) (* eps eps))
6.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
4.0ms	(log (- (* 1.0 1.0) (* eps eps)))
2.0ms	(log (+ 1.0 eps))

series344.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* 1.0 1.0) (* eps eps))
146.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
117.0ms	(log (- (* 1.0 1.0) (* eps eps)))
42.0ms	(log (+ 1.0 eps))

simplify125.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	295	307
1	983	303
2	3811	290
3	5003	290

prune81.0ms

Filtered

38 candidates to 25 candidates (65.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0.1b

Counts

41 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
5.1b	(log (/ (+ 1.0 eps) (- 1.0 eps)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`log-div`
4×	`associate-/r/` `associate-/l/`
3×	`log-prod` `clear-num`
2×	`flip3--` `frac-2neg` `flip3-+` `flip--` `flip-+` `div-inv`
1×	`log-rec`

Counts

2 → 16

Calls

2 calls:

4.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
4.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
134.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

simplify49.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	159	140
1	472	135
2	1648	125
3	5001	124

prune48.0ms

Filtered

22 candidates to 20 candidates (90.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Merged error: 0.1b

Counts

25 → 3

regimes13.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3346×	body	1280	valid
563.0ms	2578×	body	640	valid
161.0ms	7878×	body	80	nan
160.0ms	1241×	body	320	valid
48.0ms	625×	body	160	valid
7.0ms	210×	body	80	valid