Details

sample83.0ms

Algorithm

intervals

Results

42.0ms	101×	body	1280	valid
20.0ms	95×	body	640	valid
5.0ms	249×	body	80	nan
5.0ms	38×	body	320	valid
1.0ms	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)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	182	137
1	537	133
2	1937	129
3	5001	119

prune88.0ms

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

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.1b

Counts

3 → 3

localize9.0ms

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))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

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))

series315.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* 1.0 1.0) (* eps eps))
129.0ms	(- (log (- (* 1.0 1.0) (* eps eps))) (* 2 (log (+ 1.0 eps))))
106.0ms	(log (- (* 1.0 1.0) (* eps eps)))
39.0ms	(log (+ 1.0 eps))

simplify126.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	316	330
1	1091	318
2	4291	306
3	5001	303

prune79.0ms

Filtered

44 candidates to 27 candidates (61.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Merged error: 0.1b

Counts

47 → 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)))

rewrite11.0ms

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:

7.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
4.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (+ 1.0 eps) (- 1.0 eps))
114.0ms	(log (/ (+ 1.0 eps) (- 1.0 eps)))

simplify52.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	170	136
1	522	129
2	1881	121
3	5001	117

prune42.0ms

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

regimes15.0ms

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	10	7

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3346×	body	1280	valid
565.0ms	2578×	body	640	valid
162.0ms	7878×	body	80	nan
158.0ms	1241×	body	320	valid
47.0ms	625×	body	160	valid
7.0ms	210×	body	80	valid