Details

sample85.0ms

Algorithm

intervals

Results

46.0ms	115×	body	1280	valid
17.0ms	79×	body	640	valid
5.0ms	249×	body	80	nan
5.0ms	41×	body	320	valid
1.0ms	16×	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: 58.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.7b	(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))
4.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (48.0ms)

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

prune66.0ms

Filtered

23 candidates to 21 candidates (91.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0.1b

Counts

24 → 4

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 eps) (- 1.0 eps))
4.6b	(log (/ (+ 1.0 eps) (- 1.0 eps)))

rewrite9.0ms

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)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
122.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

simplify48.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (44.0ms)

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

prune42.0ms

Filtered

22 candidates to 20 candidates (90.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
2.3b	(log (- (* 1.0 1.0) (* eps eps)))
4.8b	(log (+ 1.0 eps))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 18

Calls

3 calls:

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))

series287.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
113.0ms	(log (- (* 1.0 1.0) (* eps eps)))
40.0ms	(log (+ 1.0 eps))

simplify120.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	290	265
1	979	265
2	3806	252
3	5003	252

prune61.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	27	4	31

Merged error: 0.1b

Counts

31 → 4

regimes56.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3472×	body	1280	valid
534.0ms	2442×	body	640	valid
181.0ms	8139×	body	80	nan
158.0ms	1228×	body	320	valid
49.0ms	647×	body	160	valid
7.0ms	211×	body	80	valid