Details

sample1.7s

Algorithm

intervals

Results

1.5s	134×	body	10240	exit
54.0ms	50×	body	1280	nan
47.0ms	259×	body	80	valid
23.0ms	32×	body	640	nan
10.0ms	20×	body	320	nan
4.0ms	11×	body	160	nan
2.0ms	10×	body	80	nan

simplify106.0ms

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

prune36.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize61.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)

rewrite74.0ms

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:

19.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
18.0ms	(- (- 1.0 z) 1.0)

series45.0ms

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)
12.0ms	(- (- 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

prune779.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize69.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
39.0b	(cbrt (* -1 (pow z 3)))

rewrite60.0ms

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:

22.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
2.0ms	(cbrt (* -1 (pow z 3)))

series62.0ms

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)
29.0ms	(cbrt (* -1 (pow z 3)))

simplify72.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 4 (62.0ms)

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

prune775.0ms

Filtered

78 candidates to 54 candidates (69.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize250.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
39.0b	(cbrt (* -1 (pow z 3)))
39.0b	(cbrt (* -1 (pow z 3)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
2.0ms	(cbrt (* -1 (pow z 3)))
2.0ms	(cbrt (* -1 (pow z 3)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
28.0ms	(cbrt (* -1 (pow z 3)))
29.0ms	(cbrt (* -1 (pow z 3)))

simplify64.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	96	244
1	239	220
2	642	208
3	2566	200
4	5001	184

prune658.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize63.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)
5.7b	(- (- 1.0 z) 1.0)

rewrite73.0ms

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:

20.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)

series45.0ms

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)

simplify65.0ms

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

prune716.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

regimes43.0ms

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	94	65
1	99	65
2	99	65

end0.0ms

sample45.1s

Algorithm

intervals

Results

40.3s	3825×	body	10240	exit
1.5s	1457×	body	1280	nan
1.5s	8078×	body	80	valid
880.0ms	1207×	body	640	nan
283.0ms	552×	body	320	nan
112.0ms	317×	body	160	nan
45.0ms	258×	body	80	nan