Details

sample1.9s

Algorithm

intervals

Results

1.7s	145×	body	5120	exit
101.0ms	63×	body	1280	nan
55.0ms	257×	body	80	valid
54.0ms	50×	body	640	nan
14.0ms	20×	body	320	nan
6.0ms	12×	body	160	nan
2.0ms	8×	body	80	nan
2.0ms	6×	body	80	overflowed

simplify104.0ms

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

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: 1.8b

Counts

2 → 2

localize60.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)

rewrite29.0ms

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)

simplify65.0ms

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

prune687.0ms

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: 1.8b

Counts

90 → 2

localize57.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)

rewrite29.0ms

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:

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)

simplify66.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (57.0ms)

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

prune774.0ms

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: 1.8b

Counts

90 → 3

localize67.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
41.4b	(cbrt (* -1 (pow z 3)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity` `add-log-exp`
10×	`add-sqr-sqrt`
9×	`diff-log` `distribute-lft-out--`
6×	`sub-neg` `associate--l+`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate--l-` `flip3--` `flip--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 66

Calls

4 calls:

7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
4.0ms	(cbrt (* -1 (pow z 3)))

series87.0ms

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)
54.0ms	(cbrt (* -1 (pow z 3)))

simplify65.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	96	274
1	239	252
2	642	238
3	2566	226
4	5001	218

prune714.0ms

Filtered

78 candidates to 53 candidates (67.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 1.8b

Counts

81 → 3

localize67.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)
5.4b	(- (- 1.0 z) 1.0)

rewrite29.0ms

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:

6.0ms	(- (- 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

prune805.0ms

Filtered

88 candidates to 60 candidates (68.2%)

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: 1.8b

Counts

91 → 3

regimes132.0ms

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

sample51.0s

Algorithm

intervals

Results

44.5s	3906×	body	5120	exit
2.3s	1543×	body	1280	nan
1.8s	8098×	body	80	valid
1.3s	1244×	body	640	nan
445.0ms	604×	body	320	nan
136.0ms	283×	body	160	nan
59.0ms	278×	body	80	nan
27.0ms	102×	body	80	overflowed