Details

sample1.3s

Algorithm

intervals

Results

1.1s	108×	body	10240	exit
65.0ms	258×	body	80	valid
45.0ms	40×	body	1280	nan
29.0ms	37×	body	640	nan
9.0ms	17×	body	320	nan
5.0ms	15×	body	160	nan
3.0ms	15×	body	80	nan

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	148	63
1	617	63
2	4243	62
3	5001	62

prune35.0ms

Filtered

1 candidates to 1 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: 1.7b

Counts

2 → 2

localize59.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity` `add-log-exp`
12×	`add-sqr-sqrt` `diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	74	304
1	168	284
2	534	268
3	2386	256
4	5001	252

prune716.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	88	2	90

Merged error: 1.7b

Counts

90 → 2

localize51.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity` `add-log-exp`
12×	`add-sqr-sqrt` `diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+`
4×	`pow1` `add-exp-log` `associate--l-` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)

series44.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	74	304
1	168	284
2	534	268
3	2386	256
4	5001	252

prune714.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	88	2	90

Merged error: 1.7b

Counts

90 → 2

localize62.0ms

Local error

Found 4 expressions with local error:

5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(- (- 1.0 z) 1.0)
5.5b	(+ 1.0 (- (- z) 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity` `add-log-exp`
11×	`diff-log` `distribute-lft-out--`
10×	`add-sqr-sqrt`
7×	`sub-neg`
6×	`associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate--l-` `flip3--` `sum-log` `flip--` `distribute-lft-out` `difference-of-squares`
2×	`associate-+r+`
1×	`+-commutative` `associate-+r-` `distribute-rgt-neg-in` `flip3-+` `neg-log` `flip-+`

Counts

4 → 76

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(+ 1.0 (- (- z) 1.0))

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(+ 1.0 (- (- z) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	146	302
1	399	281
2	1704	251
3	5002	246

prune763.0ms

Filtered

88 candidates to 59 candidates (67.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 1.7b

Counts

90 → 2

regimes105.0ms

Accuracy

0% (0.0b remaining)

Error of 1.8b against oracle of 1.8b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	63
1	92	63
2	92	63

end0.0ms

sample46.2s

Algorithm

intervals

Results

41.1s	3898×	body	10240	exit
1.7s	1511×	body	1280	nan
1.5s	8087×	body	80	valid
942.0ms	1214×	body	640	nan
320.0ms	597×	body	320	nan
117.0ms	303×	body	160	nan
52.0ms	301×	body	80	nan
0.0ms	1×	body	160	valid