Details

sample1.9s

Algorithm

intervals

Results

1.6s	130×	body	5120	exit
109.0ms	50×	body	1280	nan
86.0ms	260×	body	80	valid
68.0ms	44×	body	640	nan
25.0ms	24×	body	320	nan
5.0ms	8×	body	160	nan
4.0ms	13×	body	80	nan
1.0ms	2×	body	80	overflowed

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	148	63
1	617	63
2	4244	62
3	5001	62

prune19.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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:

7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 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)

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)

simplify70.0ms

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

prune486.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

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

localize56.0ms

Local error

Found 4 expressions with local error:

7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 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)

series6.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)

simplify66.0ms

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

prune484.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

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

localize63.0ms

Local error

Found 4 expressions with local error:

7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (sqrt (- 1.0 z)) (sqrt 1.0))

rewrite31.0ms

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))

series11.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (sqrt (- 1.0 z)) (sqrt 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	226	418
1	784	393
2	3156	372
3	5001	369

prune579.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

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: 1.8b

Counts

91 → 3

localize61.0ms

Local error

Found 4 expressions with local error:

7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 1.0 z) 1.0)
7.8b	(- (- 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)

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)
2.0ms	(- (- 1.0 z) 1.0)

simplify64.0ms

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

prune533.0ms

Filtered

60 candidates to 88 candidates (-46.7%)

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

regimes147.0ms

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 (0.0ms)

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

end0.0ms

sample54.3s

Algorithm

intervals

Results

45.1s	3735×	body	5120	exit
3.0s	1498×	body	1280	nan
2.6s	8077×	body	80	valid
2.0s	1256×	body	640	nan
631.0ms	593×	body	320	nan
217.0ms	317×	body	160	nan
101.0ms	327×	body	80	nan
34.0ms	96×	body	80	overflowed

Details

sample1.9s

simplify110.0ms

prune19.0ms

localize60.0ms

rewrite30.0ms

series7.0ms

simplify70.0ms

prune486.0ms

localize56.0ms

rewrite30.0ms

series6.0ms

simplify66.0ms

prune484.0ms

localize63.0ms

rewrite31.0ms

series11.0ms

simplify79.0ms

prune579.0ms

localize61.0ms

rewrite29.0ms

series7.0ms

simplify64.0ms

prune533.0ms

regimes147.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample54.3s

Profiling