Details

sample1.9s

Algorithm

intervals

Results

1.6s	140×	body	5120	exit
86.0ms	57×	body	1280	nan
54.0ms	256×	body	80	valid
38.0ms	38×	body	640	nan
16.0ms	23×	body	320	nan
6.0ms	13×	body	160	nan
3.0ms	17×	body	80	nan
1.0ms	5×	body	80	overflowed

simplify115.0ms

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

prune36.0ms

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

localize62.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 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)

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify71.0ms

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

prune738.0ms

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

localize53.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 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:

9.0ms	(- (- 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)

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)

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (61.0ms)

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

prune936.0ms

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

localize66.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
6.0b	(- (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))

series113.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (62.0ms)

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

prune824.0ms

Filtered

88 candidates to 59 candidates (67.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 1.7b

Counts

90 → 3

localize72.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
6.1b	(- (sqrt (sqrt (- 1.0 z))) (sqrt (sqrt 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

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

series163.0ms

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)
130.0ms	(- (sqrt (sqrt (- 1.0 z))) (sqrt (sqrt 1.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	259	571
1	687	542
2	2245	515
3	5001	512

prune961.0ms

Filtered

94 candidates to 61 candidates (64.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 1.7b

Counts

97 → 4

regimes185.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample49.2s

Algorithm

intervals

Results

42.8s	3746×	body	5120	exit
2.3s	1492×	body	1280	nan
1.7s	8082×	body	80	valid
1.3s	1206×	body	640	nan
483.0ms	651×	body	320	nan
138.0ms	299×	body	160	nan
58.0ms	280×	body	80	nan
24.0ms	79×	body	80	overflowed

Details

sample1.9s

simplify115.0ms

prune36.0ms

localize62.0ms

rewrite30.0ms

series47.0ms

simplify71.0ms

prune738.0ms

localize53.0ms

rewrite31.0ms

series44.0ms

simplify67.0ms

prune936.0ms

localize66.0ms

rewrite32.0ms

series113.0ms

simplify69.0ms

prune824.0ms

localize72.0ms

rewrite37.0ms

series163.0ms

simplify67.0ms

prune961.0ms

regimes185.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample49.2s

Profiling