Details

sample1.5s

Algorithm

intervals

Results

1.2s	106×	body	5120	exit
68.0ms	40×	body	1280	nan
58.0ms	258×	body	80	valid
40.0ms	39×	body	640	nan
15.0ms	21×	body	320	nan
4.0ms	8×	body	160	nan
3.0ms	11×	body	80	nan
0.0ms	1×	body	80	overflowed

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

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

prune36.0ms

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

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
7.0ms	(- (- 1.0 z) 1.0)

series6.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify68.0ms

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

prune857.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Merged error: 1.8b

Counts

90 → 2

localize61.0ms

Local error

Found 4 expressions with local error:

6.0b	(- (- 1.0 z) 1.0)
6.0b	(- (- 1.0 z) 1.0)
6.0b	(- (- 1.0 z) 1.0)
6.0b	(- (- 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)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)

series6.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms

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

prune894.0ms

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

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)

series6.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms

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

prune640.0ms

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	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	3	90

Merged error: 1.7b

Counts

90 → 3

localize62.0ms

Local error

Found 4 expressions with local error:

6.0b	(- (- 1.0 z) 1.0)
6.0b	(- (- 1.0 z) 1.0)
6.0b	(- (- 1.0 z) 1.0)
6.0b	(log (exp (* -1 z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
2.0ms	(log (exp (* -1 z)))

series12.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (- 1.0 z) 1.0)
6.0ms	(- (- 1.0 z) 1.0)
1.0ms	(- (- 1.0 z) 1.0)
2.0ms	(log (exp (* -1 z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	99	291
1	248	263
2	750	234
3	3887	234
4	5003	234

prune670.0ms

Filtered

85 candidates to 59 candidates (30.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 1.7b

Counts

88 → 4

regimes93.0ms

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	91	72
1	96	72
2	96	72

end0.0ms

sample50.8s

Algorithm

intervals

Results

44.1s	3842×	body	5120	exit
2.3s	1511×	body	1280	nan
1.8s	8077×	body	80	valid
1.3s	1273×	body	640	nan
445.0ms	598×	body	320	nan
147.0ms	311×	body	160	nan
56.0ms	270×	body	80	nan
23.0ms	87×	body	80	overflowed
0.0ms	1×	body	160	valid

Details

sample1.5s

simplify107.0ms

prune36.0ms

localize58.0ms

rewrite28.0ms

series6.0ms

simplify68.0ms

prune857.0ms

localize61.0ms

rewrite32.0ms

series6.0ms

simplify63.0ms

prune894.0ms

localize57.0ms

rewrite27.0ms

series6.0ms

simplify63.0ms

prune640.0ms

localize62.0ms

rewrite23.0ms

series12.0ms

simplify110.0ms

prune670.0ms

regimes93.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample50.8s

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