Details

sample1.5s

Algorithm

intervals

Results

1.3s	120×	body	5120	exit
86.0ms	57×	body	1280	nan
55.0ms	258×	body	80	valid
38.0ms	42×	body	640	nan
12.0ms	18×	body	320	nan
7.0ms	16×	body	160	nan
1.0ms	4×	body	80	nan

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune30.0ms

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

localize58.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)

rewrite31.0ms

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)

series50.0ms

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)
17.0ms	(- (- 1.0 z) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (58.0ms)

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

prune889.0ms

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

localize56.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 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)

series49.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify66.0ms

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

prune693.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Merged error: 1.7b

Counts

90 → 3

localize60.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)

rewrite31.0ms

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)

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)

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

prune724.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 1.7b

Counts

91 → 3

localize63.0ms

Local error

Found 4 expressions with local error:

7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (- 1.0 z) 1.0)
7.9b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-log-exp`
18×	`add-sqr-sqrt`
13×	`distribute-lft-out--`
10×	`diff-log`
8×	`sqrt-prod`
7×	`sub-neg` `difference-of-squares`
6×	`associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `add-cbrt-cube` `flip--`
3×	`associate--l-`

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)
9.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

series112.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
77.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	193	404
1	614	376
2	2505	357
3	5001	351

prune787.0ms

Filtered

88 candidates to 59 candidates (67.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 1.7b

Counts

91 → 3

regimes128.0ms

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

sample49.8s

Algorithm

intervals

Results

43.7s	4035×	body	5120	exit
2.1s	1550×	body	1280	nan
1.8s	8098×	body	80	valid
1.1s	1204×	body	640	nan
450.0ms	663×	body	320	nan
149.0ms	335×	body	160	nan
61.0ms	294×	body	80	nan
1.0ms	3×	body	160	valid