Details

sample1.7s

Algorithm

intervals

Results

1.5s	146×	body	10240	exit
62.0ms	56×	body	1280	nan
47.0ms	261×	body	80	valid
30.0ms	40×	body	640	nan
11.0ms	20×	body	320	nan
3.0ms	7×	body	160	nan
1.0ms	6×	body	80	nan

simplify105.0ms

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

prune31.0ms

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

localize55.0ms

Local error

Found 4 expressions with local error:

6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 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)

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
10.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (62.0ms)

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

prune694.0ms

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:

6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 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)

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 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 (62.0ms)

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

prune734.0ms

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

localize60.0ms

Local error

Found 4 expressions with local error:

6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.7b	(- (- 1.0 z) 1.0)
6.8b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite34.0ms

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

series110.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (63.0ms)

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

prune841.0ms

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

regimes107.0ms

Accuracy

0% (0.0b 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 (1.0ms)

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

end0.0ms

sample45.2s

Algorithm

intervals

Results

40.0s	3789×	body	10240	exit
1.7s	1490×	body	1280	nan
1.5s	8099×	body	80	valid
981.0ms	1276×	body	640	nan
356.0ms	619×	body	320	nan
125.0ms	325×	body	160	nan
48.0ms	277×	body	80	nan
0.0ms	1×	body	160	valid