Details

sample98.0ms

Algorithm

intervals

Results

52.0ms	115×	body	1280	valid
19.0ms	80×	body	640	valid
9.0ms	249×	body	80	nan
6.0ms	40×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	6×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

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

series151.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ 1.0 x) (- 1.0 x))
118.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	170	135
1	520	128
2	1878	119
3	5003	117

prune61.0ms

Filtered

22 candidates to 20 candidates (90.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	3	23

Merged error: 0.1b

Counts

23 → 3

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-*r/`
6×	`unpow2` `sqr-pow`
5×	`associate-r`
4×	`times-frac`
2×	`clear-num` `associate-/r` `associate-/l`
1×	`frac-2neg` `un-div-inv` `*-commutative` `div-inv`

Counts

1 → 14

Calls

1 calls:

5.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	29
1	175	29
2	890	29
3	5002	29

prune49.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.1b

Counts

20 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
4.7b	(log (/ (- 1.0 x) (+ 1.0 x)))

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

series152.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- 1.0 x) (+ 1.0 x))
120.0ms	(log (/ (- 1.0 x) (+ 1.0 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	181	139
1	534	135
2	1924	129
3	5001	119

prune56.0ms

Filtered

23 candidates to 21 candidates (91.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
4.6b	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-/r/`
7×	`clear-num`
6×	`log-div` `log-prod` `associate-/r*` `associate-/l/`
5×	`frac-2neg` `div-inv`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`log-rec` `inv-pow`
1×	`div-sub` `log-pow` `remove-double-div`

Counts

3 → 36

Calls

3 calls:

4.0ms	(/ (- 1.0 x) (+ 1.0 x))
4.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
5.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

series194.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- 1.0 x) (+ 1.0 x))
30.0ms	(/ 1 (/ (- 1.0 x) (+ 1.0 x)))
125.0ms	(log (/ 1 (/ (- 1.0 x) (+ 1.0 x))))

simplify99.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	243	233
1	780	220
2	3603	213
3	5001	208

prune78.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	45	4	49

Merged error: 0.1b

Counts

49 → 4

regimes15.0ms

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	16	10
1	16	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3471×	body	1280	valid
607.0ms	2445×	body	640	valid
228.0ms	8139×	body	80	nan
179.0ms	1226×	body	320	valid
58.0ms	647×	body	160	valid
9.0ms	211×	body	80	valid