Details

sample1.5s

Algorithm

intervals

Results

1.2s	114×	body	10240	exit
51.0ms	44×	body	1280	nan
50.0ms	259×	body	80	valid
37.0ms	46×	body	640	nan
12.0ms	20×	body	320	nan
2.0ms	5×	body	160	nan
2.0ms	10×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

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

prune34.0ms

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

localize52.0ms

Local error

Found 4 expressions with local error:

7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)

rewrite33.0ms

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)
10.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)

series48.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify80.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	72	304
1	166	284
2	534	268
3	2386	256
4	5002	252

prune1.0s

Filtered

88 candidates to 60 candidates (31.8%)

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

localize59.0ms

Local error

Found 4 expressions with local error:

7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)

rewrite32.0ms

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)
8.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
18.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)

simplify72.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (66.0ms)

Iter	Nodes	Cost
0	72	304
1	166	284
2	534	268
3	2386	256
4	5002	252

prune761.0ms

Filtered

88 candidates to 60 candidates (31.8%)

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

localize75.0ms

Local error

Found 4 expressions with local error:

7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)

rewrite33.0ms

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:

8.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)

simplify70.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (64.0ms)

Iter	Nodes	Cost
0	72	304
1	166	284
2	534	268
3	2386	256
4	5002	252

prune834.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 1.8b

Counts

91 → 3

localize71.0ms

Local error

Found 4 expressions with local error:

7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(- (- 1.0 z) 1.0)
7.5b	(log (exp (* -1 z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-log-exp`
16×	`add-sqr-sqrt`
14×	`log-pow`
12×	`exp-prod`
9×	`diff-log` `distribute-lft-out--`
8×	`add-cube-cbrt`
6×	`sub-neg` `associate--l+`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`associate--l-` `log-prod` `flip3--` `associate-r` `associate-l` `flip--` `difference-of-squares`
2×	`exp-neg` `mul-1-neg` `rem-log-exp`
1×	`log-div` `exp-to-pow` `log-rec` `*-commutative` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)
6.0ms	(log (exp (* -1 z)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
26.0ms	(log (exp (* -1 z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	146	301
1	383	273
2	1201	234
3	5002	231

prune1.0s

Filtered

97 candidates to 66 candidates (32.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 1.8b

Counts

100 → 3

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample46.6s

Algorithm

intervals

Results

41.1s	3852×	body	10240	exit
1.7s	1464×	body	1280	nan
1.6s	8080×	body	80	valid
1.1s	1288×	body	640	nan
350.0ms	596×	body	320	nan
123.0ms	295×	body	160	nan
56.0ms	288×	body	80	nan